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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.
- */
- #if defined(ARM_MATH_MVEI)
- void arm_power_q31(
- const q31_t * pSrc,
- uint32_t blockSize,
- q63_t * pResult)
- {
- uint32_t blkCnt; /* loop counters */
- q31x4_t vecSrc;
- q63_t sum = 0LL;
- q31_t in;
- /* Compute 4 outputs at a time */
- blkCnt = blockSize >> 2U;
- while (blkCnt > 0U)
- {
- vecSrc = vldrwq_s32(pSrc);
- /*
- * sum lanes
- */
- sum = vrmlaldavhaq(sum, vecSrc, vecSrc);
- blkCnt --;
- pSrc += 4;
- }
- /*
- * tail
- */
- blkCnt = blockSize & 0x3;
- 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) >> 8;
- /* Decrement loop counter */
- blkCnt--;
- }
- *pResult = asrl(sum, 6);
- }
- #else
- 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;
- }
- #endif /* defined(ARM_MATH_MVEI) */
- /**
- @} end of power group
- */
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