/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_mat_cmplx_mult_f32.c
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* Description: Floating-point matrix multiplication
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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 groupMatrix
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*/
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/**
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@defgroup CmplxMatrixMult Complex Matrix Multiplication
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Complex Matrix multiplication is only defined if the number of columns of the
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first matrix equals the number of rows of the second matrix.
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Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results
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in an <code>M x P</code> matrix.
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@par
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When matrix size checking is enabled, the functions check:
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- that the inner dimensions of <code>pSrcA</code> and <code>pSrcB</code> are equal;
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- that the size of the output matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.
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*/
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/**
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@addtogroup CmplxMatrixMult
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@{
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*/
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/**
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@brief Floating-point Complex matrix multiplication.
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@param[in] pSrcA points to first input complex matrix structure
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@param[in] pSrcB points to second input complex matrix structure
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@param[out] pDst points to output complex matrix structure
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@return execution status
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- \ref ARM_MATH_SUCCESS : Operation successful
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- \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
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*/
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#if defined(ARM_MATH_NEON)
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arm_status arm_mat_cmplx_mult_f32(
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const arm_matrix_instance_f32 * pSrcA,
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const arm_matrix_instance_f32 * pSrcB,
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arm_matrix_instance_f32 * pDst)
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{
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float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
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float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
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float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
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float32_t *pOut = pDst->pData; /* output data matrix pointer */
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float32_t *px; /* Temporary output data matrix pointer */
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uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
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uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
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uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
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float32_t sumReal1, sumImag1; /* accumulator */
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float32_t a0, b0, c0, d0;
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float32_t a1, a1B,b1, b1B, c1, d1;
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float32_t sumReal2, sumImag2; /* accumulator */
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float32x4x2_t a0V, a1V;
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float32x4_t accR0,accI0, accR1,accI1,tempR, tempI;
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float32x2_t accum = vdup_n_f32(0);
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float32_t *pIn1B = pSrcA->pData;
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uint16_t col, i = 0U, j, rowCnt, row = numRowsA, colCnt; /* loop counters */
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arm_status status; /* status of matrix multiplication */
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float32_t sumReal1B, sumImag1B;
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float32_t sumReal2B, sumImag2B;
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float32_t *pxB;
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#ifdef ARM_MATH_MATRIX_CHECK
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/* Check for matrix mismatch condition */
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if ((pSrcA->numCols != pSrcB->numRows) ||
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(pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
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{
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/* Set status as ARM_MATH_SIZE_MISMATCH */
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status = ARM_MATH_SIZE_MISMATCH;
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}
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else
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#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
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{
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/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
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rowCnt = row >> 1;
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/* Row loop */
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while (rowCnt > 0U)
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{
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/* Output pointer is set to starting address of the row being processed */
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px = pOut + 2 * i;
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pxB = px + 2 * numColsB;
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/* For every row wise process, the column loop counter is to be initiated */
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col = numColsB;
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/* For every row wise process, the pIn2 pointer is set
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** to the starting address of the pSrcB data */
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pIn2 = pSrcB->pData;
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j = 0U;
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/* Column loop */
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while (col > 0U)
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{
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/* Set the variable sum, that acts as accumulator, to zero */
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sumReal1 = 0.0f;
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sumImag1 = 0.0f;
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sumReal1B = 0.0f;
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sumImag1B = 0.0f;
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sumReal2 = 0.0f;
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sumImag2 = 0.0f;
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sumReal2B = 0.0f;
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sumImag2B = 0.0f;
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/* Initiate the pointer pIn1 to point to the starting address of the column being processed */
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pIn1 = pInA;
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pIn1B = pIn1 + 2*numColsA;
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accR0 = vdupq_n_f32(0.0);
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accI0 = vdupq_n_f32(0.0);
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accR1 = vdupq_n_f32(0.0);
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accI1 = vdupq_n_f32(0.0);
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/* Compute 4 MACs simultaneously. */
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colCnt = numColsA >> 2;
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/* Matrix multiplication */
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while (colCnt > 0U)
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{
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/* Reading real part of complex matrix A */
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a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
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a1V = vld2q_f32(pIn1B); // load & separate real/imag pSrcA (de-interleave 2)
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pIn1 += 8;
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pIn1B += 8;
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tempR[0] = *pIn2;
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tempI[0] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[1] = *pIn2;
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tempI[1] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[2] = *pIn2;
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tempI[2] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[3] = *pIn2;
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tempI[3] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
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accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
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accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
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accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
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accR1 = vmlaq_f32(accR1,a1V.val[0],tempR);
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accR1 = vmlsq_f32(accR1,a1V.val[1],tempI);
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accI1 = vmlaq_f32(accI1,a1V.val[1],tempR);
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accI1 = vmlaq_f32(accI1,a1V.val[0],tempI);
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/* Decrement the loop count */
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colCnt--;
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}
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accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
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sumReal1 += accum[0] + accum[1];
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accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
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sumImag1 += accum[0] + accum[1];
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accum = vpadd_f32(vget_low_f32(accR1), vget_high_f32(accR1));
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sumReal1B += accum[0] + accum[1];
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accum = vpadd_f32(vget_low_f32(accI1), vget_high_f32(accI1));
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sumImag1B += accum[0] + accum[1];
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/* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
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** No loop unrolling is used. */
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colCnt = numColsA & 3;
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while (colCnt > 0U)
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{
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/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
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a1 = *pIn1;
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a1B = *pIn1B;
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c1 = *pIn2;
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b1 = *(pIn1 + 1U);
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b1B = *(pIn1B + 1U);
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d1 = *(pIn2 + 1U);
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sumReal1 += a1 * c1;
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sumImag1 += b1 * c1;
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sumReal1B += a1B * c1;
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sumImag1B += b1B * c1;
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pIn1 += 2U;
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pIn1B += 2U;
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pIn2 += 2 * numColsB;
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sumReal2 -= b1 * d1;
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sumImag2 += a1 * d1;
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sumReal2B -= b1B * d1;
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sumImag2B += a1B * d1;
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/* Decrement the loop counter */
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colCnt--;
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}
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sumReal1 += sumReal2;
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sumImag1 += sumImag2;
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sumReal1B += sumReal2B;
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sumImag1B += sumImag2B;
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/* Store the result in the destination buffer */
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*px++ = sumReal1;
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*px++ = sumImag1;
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*pxB++ = sumReal1B;
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*pxB++ = sumImag1B;
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/* Update the pointer pIn2 to point to the starting address of the next column */
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j++;
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pIn2 = pSrcB->pData + 2U * j;
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/* Decrement the column loop counter */
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col--;
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}
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/* Update the pointer pInA to point to the starting address of the next 2 row */
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i = i + 2*numColsB;
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pInA = pInA + 4 * numColsA;
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/* Decrement the row loop counter */
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rowCnt--;
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}
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rowCnt = row & 1;
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while (rowCnt > 0U)
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{
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/* Output pointer is set to starting address of the row being processed */
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px = pOut + 2 * i;
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/* For every row wise process, the column loop counter is to be initiated */
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col = numColsB;
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/* For every row wise process, the pIn2 pointer is set
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** to the starting address of the pSrcB data */
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pIn2 = pSrcB->pData;
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j = 0U;
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/* Column loop */
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while (col > 0U)
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{
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/* Set the variable sum, that acts as accumulator, to zero */
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sumReal1 = 0.0f;
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sumImag1 = 0.0f;
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sumReal2 = 0.0f;
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sumImag2 = 0.0f;
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/* Initiate the pointer pIn1 to point to the starting address of the column being processed */
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pIn1 = pInA;
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accR0 = vdupq_n_f32(0.0);
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accI0 = vdupq_n_f32(0.0);
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/* Compute 4 MACs simultaneously. */
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colCnt = numColsA >> 2;
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/* Matrix multiplication */
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while (colCnt > 0U)
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{
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/* Reading real part of complex matrix A */
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a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
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pIn1 += 8;
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tempR[0] = *pIn2;
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tempI[0] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[1] = *pIn2;
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tempI[1] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[2] = *pIn2;
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tempI[2] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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tempR[3] = *pIn2;
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tempI[3] = *(pIn2 + 1U);
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pIn2 += 2 * numColsB;
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accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
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accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
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accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
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accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
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/* Decrement the loop count */
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colCnt--;
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}
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accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
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sumReal1 += accum[0] + accum[1];
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accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
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sumImag1 += accum[0] + accum[1];
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/* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
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** No loop unrolling is used. */
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colCnt = numColsA & 3;
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while (colCnt > 0U)
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{
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/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
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a1 = *pIn1;
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c1 = *pIn2;
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b1 = *(pIn1 + 1U);
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d1 = *(pIn2 + 1U);
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sumReal1 += a1 * c1;
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sumImag1 += b1 * c1;
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pIn1 += 2U;
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pIn2 += 2 * numColsB;
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sumReal2 -= b1 * d1;
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sumImag2 += a1 * d1;
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/* Decrement the loop counter */
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colCnt--;
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}
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sumReal1 += sumReal2;
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sumImag1 += sumImag2;
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/* Store the result in the destination buffer */
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*px++ = sumReal1;
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*px++ = sumImag1;
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/* Update the pointer pIn2 to point to the starting address of the next column */
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j++;
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pIn2 = pSrcB->pData + 2U * j;
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/* Decrement the column loop counter */
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col--;
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}
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/* Update the pointer pInA to point to the starting address of the next row */
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i = i + numColsB;
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pInA = pInA + 2 * numColsA;
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/* Decrement the row loop counter */
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rowCnt--;
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}
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/* Set status as ARM_MATH_SUCCESS */
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status = ARM_MATH_SUCCESS;
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}
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/* Return to application */
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return (status);
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}
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#else
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arm_status arm_mat_cmplx_mult_f32(
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const arm_matrix_instance_f32 * pSrcA,
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const arm_matrix_instance_f32 * pSrcB,
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arm_matrix_instance_f32 * pDst)
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{
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float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
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float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
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float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
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float32_t *pOut = pDst->pData; /* Output data matrix pointer */
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float32_t *px; /* Temporary output data matrix pointer */
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uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
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uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
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uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
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float32_t sumReal, sumImag; /* Accumulator */
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float32_t a1, b1, c1, d1;
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uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
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arm_status status; /* status of matrix multiplication */
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#if defined (ARM_MATH_LOOPUNROLL)
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float32_t a0, b0, c0, d0;
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#endif
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#ifdef ARM_MATH_MATRIX_CHECK
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/* Check for matrix mismatch condition */
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if ((pSrcA->numCols != pSrcB->numRows) ||
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(pSrcA->numRows != pDst->numRows) ||
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(pSrcB->numCols != pDst->numCols) )
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{
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/* Set status as ARM_MATH_SIZE_MISMATCH */
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status = ARM_MATH_SIZE_MISMATCH;
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}
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else
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#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
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{
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/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
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/* row loop */
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do
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{
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/* Output pointer is set to starting address of the row being processed */
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px = pOut + 2 * i;
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/* For every row wise process, the column loop counter is to be initiated */
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col = numColsB;
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/* For every row wise process, the pIn2 pointer is set
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** to the starting address of the pSrcB data */
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pIn2 = pSrcB->pData;
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j = 0U;
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/* column loop */
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do
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{
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/* Set the variable sum, that acts as accumulator, to zero */
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sumReal = 0.0f;
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sumImag = 0.0f;
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/* Initiate pointer pIn1 to point to starting address of column being processed */
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pIn1 = pInA;
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#if defined (ARM_MATH_LOOPUNROLL)
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/* Apply loop unrolling and compute 4 MACs simultaneously. */
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colCnt = numColsA >> 2U;
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/* matrix multiplication */
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while (colCnt > 0U)
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{
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/* Reading real part of complex matrix A */
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a0 = *pIn1;
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/* Reading real part of complex matrix B */
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c0 = *pIn2;
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/* Reading imaginary part of complex matrix A */
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b0 = *(pIn1 + 1U);
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/* Reading imaginary part of complex matrix B */
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d0 = *(pIn2 + 1U);
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/* Multiply and Accumlates */
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sumReal += a0 * c0;
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sumImag += b0 * c0;
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/* update pointers */
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pIn1 += 2U;
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pIn2 += 2 * numColsB;
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/* Multiply and Accumlates */
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sumReal -= b0 * d0;
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sumImag += a0 * d0;
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/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
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/* read real and imag values from pSrcA and pSrcB buffer */
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a1 = *(pIn1 );
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c1 = *(pIn2 );
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b1 = *(pIn1 + 1U);
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d1 = *(pIn2 + 1U);
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/* Multiply and Accumlates */
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sumReal += a1 * c1;
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sumImag += b1 * c1;
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/* update pointers */
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pIn1 += 2U;
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pIn2 += 2 * numColsB;
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/* Multiply and Accumlates */
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sumReal -= b1 * d1;
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sumImag += a1 * d1;
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a0 = *(pIn1 );
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c0 = *(pIn2 );
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b0 = *(pIn1 + 1U);
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d0 = *(pIn2 + 1U);
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/* Multiply and Accumlates */
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sumReal += a0 * c0;
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sumImag += b0 * c0;
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/* update pointers */
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pIn1 += 2U;
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pIn2 += 2 * numColsB;
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/* Multiply and Accumlates */
|
sumReal -= b0 * d0;
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sumImag += a0 * d0;
|
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/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
|
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a1 = *(pIn1 );
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c1 = *(pIn2 );
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b1 = *(pIn1 + 1U);
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d1 = *(pIn2 + 1U);
|
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/* Multiply and Accumlates */
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sumReal += a1 * c1;
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sumImag += b1 * c1;
|
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/* update pointers */
|
pIn1 += 2U;
|
pIn2 += 2 * numColsB;
|
|
/* Multiply and Accumlates */
|
sumReal -= b1 * d1;
|
sumImag += a1 * d1;
|
|
/* Decrement loop count */
|
colCnt--;
|
}
|
|
/* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
|
** No loop unrolling is used. */
|
colCnt = numColsA % 0x4U;
|
|
#else
|
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/* Initialize blkCnt with number of samples */
|
colCnt = numColsA;
|
|
#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
|
|
while (colCnt > 0U)
|
{
|
/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
|
a1 = *(pIn1 );
|
c1 = *(pIn2 );
|
b1 = *(pIn1 + 1U);
|
d1 = *(pIn2 + 1U);
|
|
/* Multiply and Accumlates */
|
sumReal += a1 * c1;
|
sumImag += b1 * c1;
|
|
/* update pointers */
|
pIn1 += 2U;
|
pIn2 += 2 * numColsB;
|
|
/* Multiply and Accumlates */
|
sumReal -= b1 * d1;
|
sumImag += a1 * d1;
|
|
/* Decrement loop counter */
|
colCnt--;
|
}
|
|
/* Store result in destination buffer */
|
*px++ = sumReal;
|
*px++ = sumImag;
|
|
/* Update pointer pIn2 to point to starting address of next column */
|
j++;
|
pIn2 = pSrcB->pData + 2U * j;
|
|
/* Decrement column loop counter */
|
col--;
|
|
} while (col > 0U);
|
|
/* Update pointer pInA to point to starting address of next row */
|
i = i + numColsB;
|
pInA = pInA + 2 * numColsA;
|
|
/* Decrement row loop counter */
|
row--;
|
|
} while (row > 0U);
|
|
/* Set status as ARM_MATH_SUCCESS */
|
status = ARM_MATH_SUCCESS;
|
}
|
|
/* Return to application */
|
return (status);
|
}
|
|
#endif /* #if defined(ARM_MATH_NEON) */
|
|
/**
|
@} end of MatrixMult group
|
*/
|
