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/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_cmplx_mag_q15.c
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* Description: Q15 complex magnitude
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*
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* $Date: 23 April 2021
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* $Revision: V1.9.0
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*
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* Target Processor: Cortex-M and Cortex-A cores
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* -------------------------------------------------------------------- */
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/*
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* Copyright (C) 2010-2021 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 "dsp/complex_math_functions.h"
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/**
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@ingroup groupCmplxMath
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*/
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/**
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@addtogroup cmplx_mag
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@{
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*/
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/**
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@brief Q15 complex magnitude.
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@param[in] pSrc points to input vector
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@param[out] pDst points to output vector
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@param[in] numSamples number of samples in each vector
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@return none
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@par Scaling and Overflow Behavior
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The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
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*/
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/* Sqrt q31 is used otherwise accuracy is not good enough
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for small values and for some applications it is
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an issue.
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*/
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#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
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#include "arm_helium_utils.h"
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void arm_cmplx_mag_q15(
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const q15_t * pSrc,
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q15_t * pDst,
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uint32_t numSamples)
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{
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int32_t blockSize = numSamples; /* loop counters */
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uint32_t blkCnt; /* loop counters */
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q15x8x2_t vecSrc;
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q31x4_t prod0;
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q31x4_t prod1;
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q31_t in;
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q31_t acc0;
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q31x4_t acc0V;
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q31x4_t acc1V;
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q31_t res;
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q15x8_t resV;
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blkCnt = blockSize >> 3;
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while (blkCnt > 0U)
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{
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vecSrc = vld2q(pSrc);
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pSrc += 16;
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acc0V = vdupq_n_s32(0);
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acc1V = vdupq_n_s32(0);
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prod0 = vmullbq_int_s16(vecSrc.val[0], vecSrc.val[0]);
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acc0V = vqaddq_s32(acc0V,prod0);
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prod0 = vmullbq_int_s16(vecSrc.val[1], vecSrc.val[1]);
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acc0V = vqaddq_s32(acc0V,prod0);
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prod1 = vmulltq_int_s16(vecSrc.val[0], vecSrc.val[0]);
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acc1V = vqaddq_s32(acc1V,prod1);
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prod1 = vmulltq_int_s16(vecSrc.val[1], vecSrc.val[1]);
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acc1V = vqaddq_s32(acc1V,prod1);
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acc0V = vshrq(acc0V, 1);
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acc1V = vshrq(acc1V, 1);
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acc0V = FAST_VSQRT_Q31(acc0V);
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acc1V = FAST_VSQRT_Q31(acc1V);
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resV = vdupq_n_s16(0);
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resV = vqshrnbq_n_s32(resV,acc0V,16);
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resV = vqshrntq_n_s32(resV,acc1V,16);
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vst1q(pDst, resV);
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pDst += 8;
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/*
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* Decrement the blockSize loop counter
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*/
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blkCnt--;
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}
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/*
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* tail
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*/
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blkCnt = blockSize & 7;
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while (blkCnt > 0U)
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{
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/* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
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in = read_q15x2_ia ((q15_t **) &pSrc);
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acc0 = __SMUAD(in, in);
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/* store result in 2.14 format in destination buffer. */
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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/* Decrement loop counter */
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blkCnt--;
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}
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}
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#else
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void arm_cmplx_mag_q15(
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const q15_t * pSrc,
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q15_t * pDst,
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uint32_t numSamples)
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{
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q31_t res; /* temporary result */
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uint32_t blkCnt; /* Loop counter */
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#if defined (ARM_MATH_DSP)
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q31_t in;
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q31_t acc0; /* Accumulators */
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#else
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q15_t real, imag; /* Temporary input variables */
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q31_t acc0, acc1; /* Accumulators */
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#endif
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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 = numSamples >> 2U;
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while (blkCnt > 0U)
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{
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/* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
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#if defined (ARM_MATH_DSP)
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in = read_q15x2_ia (&pSrc);
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acc0 = __SMUAD(in, in);
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/* store result in 2.14 format in destination buffer. */
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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in = read_q15x2_ia (&pSrc);
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acc0 = __SMUAD(in, in);
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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in = read_q15x2_ia (&pSrc);
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acc0 = __SMUAD(in, in);
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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in = read_q15x2_ia (&pSrc);
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acc0 = __SMUAD(in, in);
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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#else
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real = *pSrc++;
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imag = *pSrc++;
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acc0 = ((q31_t) real * real);
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acc1 = ((q31_t) imag * imag);
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/* store result in 2.14 format in destination buffer. */
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arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
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*pDst++ = res >> 16;
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real = *pSrc++;
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imag = *pSrc++;
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acc0 = ((q31_t) real * real);
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acc1 = ((q31_t) imag * imag);
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arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
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*pDst++ = res >> 16;
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real = *pSrc++;
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imag = *pSrc++;
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acc0 = ((q31_t) real * real);
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acc1 = ((q31_t) imag * imag);
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arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
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*pDst++ = res >> 16;
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real = *pSrc++;
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imag = *pSrc++;
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acc0 = ((q31_t) real * real);
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acc1 = ((q31_t) imag * imag);
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arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
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*pDst++ = res >> 16;
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#endif /* #if defined (ARM_MATH_DSP) */
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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 = numSamples % 0x4U;
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#else
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/* Initialize blkCnt with number of samples */
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blkCnt = numSamples;
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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[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
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#if defined (ARM_MATH_DSP)
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in = read_q15x2_ia (&pSrc);
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acc0 = __SMUAD(in, in);
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/* store result in 2.14 format in destination buffer. */
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arm_sqrt_q31(acc0 >> 1 , &res);
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*pDst++ = res >> 16;
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#else
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real = *pSrc++;
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imag = *pSrc++;
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acc0 = ((q31_t) real * real);
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acc1 = ((q31_t) imag * imag);
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/* store result in 2.14 format in destination buffer. */
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arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
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*pDst++ = res >> 16;
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#endif
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/* Decrement loop counter */
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blkCnt--;
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}
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}
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#endif /* defined(ARM_MATH_MVEI) */
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/**
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@} end of cmplx_mag group
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*/
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