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authorjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
committerjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
commit86608c6770cf08c138a2bdab5855072f64be09ef (patch)
tree494a61b3ef37e76f9235a0d10f5c93d97290a35f /Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c
downloadsdr-software-master.tar.gz
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+/* ----------------------------------------------------------------------
+ * 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
+ */