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+/* ----------------------------------------------------------------------
+* 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;
+ }
+
+ }
+}
+
+
+
+