122 lines
3.7 KiB
C
122 lines
3.7 KiB
C
/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_power_q31.c
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* Description: Sum of the squares of the elements of a Q31 vector
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*
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* $Date: 18. March 2019
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* $Revision: V1.6.0
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*
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* Target Processor: Cortex-M cores
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* -------------------------------------------------------------------- */
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/*
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* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the License); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an AS IS BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include "arm_math.h"
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/**
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@ingroup groupStats
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*/
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/**
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@addtogroup power
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@{
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*/
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/**
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@brief Sum of the squares of the elements of a Q31 vector.
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@param[in] pSrc points to the input vector
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@param[in] blockSize number of samples in input vector
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@param[out] pResult sum of the squares value returned here
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@return none
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@par Scaling and Overflow Behavior
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The function is implemented using a 64-bit internal accumulator.
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The input is represented in 1.31 format.
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Intermediate multiplication yields a 2.62 format, and this
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result is truncated to 2.48 format by discarding the lower 14 bits.
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The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.
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With 15 guard bits in the accumulator, there is no risk of overflow, and the
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full precision of the intermediate multiplication is preserved.
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Finally, the return result is in 16.48 format.
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*/
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void arm_power_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q63_t * pResult)
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{
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uint32_t blkCnt; /* Loop counter */
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q63_t sum = 0; /* Temporary result storage */
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q31_t in; /* Temporary variable to store input value */
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#if defined (ARM_MATH_LOOPUNROLL)
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/* Loop unrolling: Compute 4 outputs at a time */
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blkCnt = blockSize >> 2U;
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while (blkCnt > 0U)
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{
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/* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
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/* 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. */
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in = *pSrc++;
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sum += ((q63_t) in * in) >> 14U;
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in = *pSrc++;
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sum += ((q63_t) in * in) >> 14U;
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in = *pSrc++;
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sum += ((q63_t) in * in) >> 14U;
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in = *pSrc++;
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sum += ((q63_t) in * in) >> 14U;
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/* Decrement loop counter */
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blkCnt--;
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}
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/* Loop unrolling: Compute remaining outputs */
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blkCnt = blockSize % 0x4U;
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#else
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/* Initialize blkCnt with number of samples */
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blkCnt = blockSize;
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#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
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while (blkCnt > 0U)
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{
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/* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
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/* Compute Power and store result in a temporary variable, sum. */
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in = *pSrc++;
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sum += ((q63_t) in * in) >> 14U;
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/* Decrement loop counter */
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blkCnt--;
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}
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/* Store results in 16.48 format */
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*pResult = sum;
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}
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/**
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@} end of power group
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*/
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