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1062 lines
33 KiB
C
1062 lines
33 KiB
C
/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_mat_cmplx_mult_q31.c
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* Description: Floating-point matrix multiplication
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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/matrix_functions.h"
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/**
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@ingroup groupMatrix
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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 Q31 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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@par Scaling and Overflow Behavior
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The function is implemented using an internal 64-bit accumulator.
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The accumulator has a 2.62 format and maintains full precision of the intermediate
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multiplication results but provides only a single guard bit. There is no saturation
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on intermediate additions. Thus, if the accumulator overflows it wraps around and
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distorts the result. The input signals should be scaled down to avoid intermediate
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overflows. The input is thus scaled down by log2(numColsA) bits
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to avoid overflows, as a total of numColsA additions are performed internally.
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The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
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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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#define MATRIX_DIM2 2
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#define MATRIX_DIM3 3
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#define MATRIX_DIM4 4
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__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_2x2_mve(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst)
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{
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q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
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q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
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q31_t *pOut = pDst->pData; /* output data matrix pointer */
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uint32x4_t vecColBOffs0;
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q31_t const *pInA0 = pInA;
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q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2;
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q63_t acc0, acc1, acc2, acc3;
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q31x4_t vecB, vecA;
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static const uint32_t offsetB0[4] = {
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0, 1,
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MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1
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};
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vecColBOffs0 = vldrwq_u32(offsetB0);
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pInB = (q31_t const *) pSrcB->pData;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
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/*
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* move to next B column
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*/
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pInB = pInB + CMPLX_DIM;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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pOut += CMPLX_DIM;
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pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
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/*
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* Return to application
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*/
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return (ARM_MATH_SUCCESS);
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}
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__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_3x3_mve(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst)
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{
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q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
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q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
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q31_t *pOut = pDst->pData; /* output data matrix pointer */
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uint32x4_t vecColBOffs0, vecColBOffs1;
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q31_t const *pInA0 = pInA;
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q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3;
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q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3;
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q63_t acc0, acc1, acc2, acc3;
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q31x4_t vecB, vecB1, vecA;
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/*
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* enable predication to disable upper half complex vector element
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*/
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mve_pred16_t p0 = vctp32q(CMPLX_DIM);
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static const uint32_t offsetB0[4] = {
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0, 1,
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MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1
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};
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static const uint32_t offsetB1[4] = {
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2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1,
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INACTIVELANE, INACTIVELANE
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};
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vecColBOffs0 = vldrwq_u32(offsetB0);
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vecColBOffs1 = vldrwq_u32(offsetB1);
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pInB = (q31_t const *) pSrcB->pData;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA0[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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vecA = vldrwq_z_s32(&pInA1[4], p0);
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acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
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acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
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vecA = vldrwq_s32(pInA2);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA2[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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pOut += CMPLX_DIM;
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/*
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* move to next B column
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*/
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pInB = pInB + CMPLX_DIM;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA0[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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vecA = vldrwq_z_s32(&pInA1[4], p0);
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acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
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acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
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vecA = vldrwq_s32(pInA2);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA2[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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pOut += CMPLX_DIM;
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/*
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* move to next B column
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*/
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pInB = pInB + CMPLX_DIM;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA0[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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vecA = vldrwq_z_s32(&pInA1[4], p0);
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acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
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acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
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vecA = vldrwq_s32(pInA2);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_z_s32(&pInA2[4], p0);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
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pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
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/*
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* Return to application
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*/
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return (ARM_MATH_SUCCESS);
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}
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__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_4x4_mve(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst)
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{
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q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
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q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
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q31_t *pOut = pDst->pData; /* output data matrix pointer */
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uint32x4_t vecColBOffs0, vecColBOffs1;
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q31_t const *pInA0 = pInA;
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q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4;
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q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4;
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q31_t const *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4;
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q63_t acc0, acc1, acc2, acc3;
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q31x4_t vecB, vecB1, vecA;
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static const uint32_t offsetB0[4] = {
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0, 1,
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MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1
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};
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static const uint32_t offsetB1[4] = {
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2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1,
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3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1
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};
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vecColBOffs0 = vldrwq_u32(offsetB0);
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vecColBOffs1 = vldrwq_u32(offsetB1);
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pInB = (q31_t const *) pSrcB->pData;
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vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
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vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
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vecA = vldrwq_s32(pInA0);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA1);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(&pInA0[4]);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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vecA = vldrwq_s32(&pInA1[4]);
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acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
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acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
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pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
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pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
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pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
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vecA = vldrwq_s32(pInA2);
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acc0 = vmlsldavq_s32(vecA, vecB);
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acc1 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(pInA3);
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acc2 = vmlsldavq_s32(vecA, vecB);
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acc3 = vmlaldavxq_s32(vecA, vecB);
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vecA = vldrwq_s32(&pInA2[4]);
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acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
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acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
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vecA = vldrwq_s32(&pInA3[4]);
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acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
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acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
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pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
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pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
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pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
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pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
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pOut += CMPLX_DIM;
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/*
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* move to next B column
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*/
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pInB = pInB + CMPLX_DIM;
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|
|
vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
|
|
vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
|
|
|
|
vecA = vldrwq_s32(pInA0);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA1);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA0[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA1[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
|
|
vecA = vldrwq_s32(pInA2);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA3);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA2[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA3[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
pOut += CMPLX_DIM;
|
|
/*
|
|
* move to next B column
|
|
*/
|
|
pInB = pInB + CMPLX_DIM;
|
|
|
|
vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
|
|
vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
|
|
|
|
vecA = vldrwq_s32(pInA0);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA1);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA0[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA1[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
|
|
vecA = vldrwq_s32(pInA2);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA3);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA2[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA3[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
pOut += CMPLX_DIM;
|
|
|
|
/*
|
|
* move to next B column
|
|
*/
|
|
pInB = pInB + CMPLX_DIM;
|
|
|
|
vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
|
|
vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
|
|
|
|
vecA = vldrwq_s32(pInA0);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA1);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA0[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA1[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
|
|
vecA = vldrwq_s32(pInA2);
|
|
acc0 = vmlsldavq_s32(vecA, vecB);
|
|
acc1 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(pInA3);
|
|
acc2 = vmlsldavq_s32(vecA, vecB);
|
|
acc3 = vmlaldavxq_s32(vecA, vecB);
|
|
|
|
vecA = vldrwq_s32(&pInA2[4]);
|
|
acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
|
|
acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
|
|
|
|
vecA = vldrwq_s32(&pInA3[4]);
|
|
acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
|
|
acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
|
|
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
|
|
pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
|
|
pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
|
|
/*
|
|
* Return to application
|
|
*/
|
|
return (ARM_MATH_SUCCESS);
|
|
}
|
|
|
|
|
|
arm_status arm_mat_cmplx_mult_q31(
|
|
const arm_matrix_instance_q31 * pSrcA,
|
|
const arm_matrix_instance_q31 * pSrcB,
|
|
arm_matrix_instance_q31 * pDst)
|
|
{
|
|
q31_t const *pInB = (q31_t const *) pSrcB->pData; /* input data matrix pointer B */
|
|
q31_t const *pInA = (q31_t const *) pSrcA->pData; /* input data matrix pointer A */
|
|
q31_t *pOut = pDst->pData; /* output data matrix pointer */
|
|
q31_t *px; /* Temporary output data matrix pointer */
|
|
uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
|
|
uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
|
|
uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
|
|
uint16_t col, i = 0U, row = numRowsA; /* loop counters */
|
|
arm_status status; /* status of matrix multiplication */
|
|
uint32x4_t vecOffs, vecColBOffs;
|
|
uint32_t blkCnt, rowCnt; /* loop counters */
|
|
|
|
#ifdef ARM_MATH_MATRIX_CHECK
|
|
|
|
/* Check for matrix mismatch condition */
|
|
if ((pSrcA->numCols != pSrcB->numRows) ||
|
|
(pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
|
|
{
|
|
|
|
/* Set status as ARM_MATH_SIZE_MISMATCH */
|
|
status = ARM_MATH_SIZE_MISMATCH;
|
|
}
|
|
else
|
|
#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
|
|
|
|
{
|
|
/*
|
|
* small squared matrix specialized routines
|
|
*/
|
|
if (numRowsA == numColsB && numColsB == numColsA)
|
|
{
|
|
if (numRowsA == 1)
|
|
{
|
|
q63_t sumReal = (q63_t) pInA[0] * pInB[0];
|
|
sumReal -= (q63_t) pInA[1] * pInB[1];
|
|
|
|
q63_t sumImag = (q63_t) pInA[0] * pInB[1];
|
|
sumImag += (q63_t) pInA[1] * pInB[0];
|
|
|
|
/* Store result in destination buffer */
|
|
pOut[0] = (q31_t) clip_q63_to_q31(sumReal >> 31);
|
|
pOut[1] = (q31_t) clip_q63_to_q31(sumImag >> 31);
|
|
return (ARM_MATH_SUCCESS);
|
|
}
|
|
else if (numRowsA == 2)
|
|
return arm_mat_cmplx_mult_q31_2x2_mve(pSrcA, pSrcB, pDst);
|
|
else if (numRowsA == 3)
|
|
return arm_mat_cmplx_mult_q31_3x3_mve(pSrcA, pSrcB, pDst);
|
|
else if (numRowsA == 4)
|
|
return arm_mat_cmplx_mult_q31_4x4_mve(pSrcA, pSrcB, pDst);
|
|
}
|
|
|
|
vecColBOffs[0] = 0;
|
|
vecColBOffs[1] = 1;
|
|
vecColBOffs[2] = numColsB * CMPLX_DIM;
|
|
vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
|
|
|
|
/*
|
|
* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
|
|
*/
|
|
|
|
/*
|
|
* row loop
|
|
*/
|
|
rowCnt = row >> 1;
|
|
while (rowCnt > 0u)
|
|
{
|
|
/*
|
|
* Output pointer is set to starting address of the row being processed
|
|
*/
|
|
px = pOut + i * CMPLX_DIM;
|
|
i = i + 2 * numColsB;
|
|
/*
|
|
* For every row wise process, the column loop counter is to be initiated
|
|
*/
|
|
col = numColsB;
|
|
/*
|
|
* For every row wise process, the pInB pointer is set
|
|
* to the starting address of the pSrcB data
|
|
*/
|
|
pInB = (q31_t const *) pSrcB->pData;
|
|
/*
|
|
* column loop
|
|
*/
|
|
while (col > 0u)
|
|
{
|
|
/*
|
|
* generate 4 columns elements
|
|
*/
|
|
/*
|
|
* Matrix A columns number of MAC operations are to be performed
|
|
*/
|
|
|
|
q31_t const *pSrcA0Vec, *pSrcA1Vec;
|
|
q31_t const *pInA0 = pInA;
|
|
q31_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
|
|
q63_t acc0, acc1, acc2, acc3;
|
|
|
|
acc0 = 0LL;
|
|
acc1 = 0LL;
|
|
acc2 = 0LL;
|
|
acc3 = 0LL;
|
|
|
|
pSrcA0Vec = (q31_t const *) pInA0;
|
|
pSrcA1Vec = (q31_t const *) pInA1;
|
|
|
|
|
|
vecOffs = vecColBOffs;
|
|
|
|
/*
|
|
* process 1 x 2 block output
|
|
*/
|
|
blkCnt = (numColsA * CMPLX_DIM) >> 2;
|
|
while (blkCnt > 0U)
|
|
{
|
|
q31x4_t vecB, vecA;
|
|
|
|
vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
|
|
/*
|
|
* move Matrix B read offsets, 2 rows down
|
|
*/
|
|
vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
|
|
|
|
|
|
vecA = vld1q(pSrcA0Vec);
|
|
pSrcA0Vec += 4;
|
|
acc0 = vmlsldavaq(acc0, vecA, vecB);
|
|
acc1 = vmlaldavaxq(acc1, vecA, vecB);
|
|
|
|
|
|
vecA = vld1q(pSrcA1Vec);
|
|
pSrcA1Vec += 4;
|
|
|
|
acc2 = vmlsldavaq(acc2, vecA, vecB);
|
|
acc3 = vmlaldavaxq(acc3, vecA, vecB);
|
|
|
|
|
|
blkCnt--;
|
|
}
|
|
|
|
|
|
/*
|
|
* tail
|
|
*/
|
|
blkCnt = (numColsA * CMPLX_DIM) & 3;
|
|
if (blkCnt > 0U)
|
|
{
|
|
mve_pred16_t p0 = vctp32q(blkCnt);
|
|
q31x4_t vecB, vecA;
|
|
|
|
vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
|
|
|
|
/*
|
|
* move Matrix B read offsets, 2 rows down
|
|
*/
|
|
vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
|
|
|
|
|
|
vecA = vld1q(pSrcA0Vec);
|
|
acc0 = vmlsldavaq(acc0, vecA, vecB);
|
|
acc1 = vmlaldavaxq(acc1, vecA, vecB);
|
|
vecA = vld1q(pSrcA1Vec);
|
|
acc2 = vmlsldavaq(acc2, vecA, vecB);
|
|
acc3 = vmlaldavaxq(acc3, vecA, vecB);
|
|
|
|
|
|
}
|
|
|
|
px[0 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
|
|
px[0 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
|
|
px[1 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc2 >> 31);
|
|
px[1 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc3 >> 31);
|
|
px += CMPLX_DIM;
|
|
/*
|
|
* Decrement the column loop counter
|
|
*/
|
|
col--;
|
|
/*
|
|
* Update the pointer pInB to point to the starting address of the next column
|
|
*/
|
|
pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
|
|
}
|
|
|
|
/*
|
|
* Update the pointer pInA to point to the starting address of the next row
|
|
*/
|
|
pInA += (numColsA * 2) * CMPLX_DIM;
|
|
/*
|
|
* Decrement the row loop counter
|
|
*/
|
|
rowCnt --;
|
|
|
|
}
|
|
|
|
rowCnt = row & 1;
|
|
while (rowCnt > 0u)
|
|
{
|
|
/*
|
|
* Output pointer is set to starting address of the row being processed
|
|
*/
|
|
px = pOut + i * CMPLX_DIM;
|
|
i = i + numColsB;
|
|
/*
|
|
* For every row wise process, the column loop counter is to be initiated
|
|
*/
|
|
col = numColsB;
|
|
/*
|
|
* For every row wise process, the pInB pointer is set
|
|
* to the starting address of the pSrcB data
|
|
*/
|
|
pInB = (q31_t const *) pSrcB->pData;
|
|
/*
|
|
* column loop
|
|
*/
|
|
while (col > 0u)
|
|
{
|
|
/*
|
|
* generate 4 columns elements
|
|
*/
|
|
/*
|
|
* Matrix A columns number of MAC operations are to be performed
|
|
*/
|
|
|
|
q31_t const *pSrcA0Vec;
|
|
q31_t const *pInA0 = pInA;
|
|
q63_t acc0,acc1;
|
|
|
|
acc0 = 0LL;
|
|
acc1 = 0LL;
|
|
|
|
pSrcA0Vec = (q31_t const *) pInA0;
|
|
|
|
vecOffs = vecColBOffs;
|
|
|
|
/*
|
|
* process 1 x 2 block output
|
|
*/
|
|
blkCnt = (numColsA * CMPLX_DIM) >> 2;
|
|
while (blkCnt > 0U)
|
|
{
|
|
q31x4_t vecB, vecA;
|
|
|
|
vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
|
|
/*
|
|
* move Matrix B read offsets, 2 rows down
|
|
*/
|
|
vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
|
|
|
|
vecA = vld1q(pSrcA0Vec);
|
|
pSrcA0Vec += 4;
|
|
acc0 = vmlsldavaq(acc0, vecA, vecB);
|
|
acc1 = vmlaldavaxq(acc1, vecA, vecB);
|
|
|
|
|
|
blkCnt--;
|
|
}
|
|
|
|
|
|
/*
|
|
* tail
|
|
*/
|
|
blkCnt = (numColsA * CMPLX_DIM) & 3;
|
|
if (blkCnt > 0U)
|
|
{
|
|
mve_pred16_t p0 = vctp32q(blkCnt);
|
|
q31x4_t vecB, vecA;
|
|
|
|
vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
|
|
|
|
/*
|
|
* move Matrix B read offsets, 2 rows down
|
|
*/
|
|
vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
|
|
|
|
vecA = vld1q(pSrcA0Vec);
|
|
|
|
|
|
acc0 = vmlsldavaq(acc0, vecA, vecB);
|
|
acc1 = vmlaldavaxq(acc1, vecA, vecB);
|
|
|
|
|
|
}
|
|
|
|
px[0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
|
|
px[1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
|
|
|
|
|
|
px += CMPLX_DIM;
|
|
/*
|
|
* Decrement the column loop counter
|
|
*/
|
|
col--;
|
|
/*
|
|
* Update the pointer pInB to point to the starting address of the next column
|
|
*/
|
|
pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
|
|
}
|
|
|
|
/*
|
|
* Update the pointer pInA to point to the starting address of the next row
|
|
*/
|
|
pInA += numColsA * CMPLX_DIM;
|
|
rowCnt--;
|
|
}
|
|
|
|
|
|
/* Set status as ARM_MATH_SUCCESS */
|
|
status = ARM_MATH_SUCCESS;
|
|
}
|
|
|
|
/* Return to application */
|
|
return (status);
|
|
}
|
|
|
|
#else
|
|
arm_status arm_mat_cmplx_mult_q31(
|
|
const arm_matrix_instance_q31 * pSrcA,
|
|
const arm_matrix_instance_q31 * pSrcB,
|
|
arm_matrix_instance_q31 * pDst)
|
|
{
|
|
q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
|
|
q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
|
|
q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
|
|
q31_t *pOut = pDst->pData; /* Output data matrix pointer */
|
|
q31_t *px; /* Temporary output data matrix pointer */
|
|
uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
|
|
uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
|
|
uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
|
|
q63_t sumReal, sumImag; /* Accumulator */
|
|
q31_t a1, b1, c1, d1;
|
|
uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
|
|
arm_status status; /* status of matrix multiplication */
|
|
|
|
#if defined (ARM_MATH_LOOPUNROLL)
|
|
q31_t a0, b0, c0, d0;
|
|
#endif
|
|
|
|
#ifdef ARM_MATH_MATRIX_CHECK
|
|
|
|
/* Check for matrix mismatch condition */
|
|
if ((pSrcA->numCols != pSrcB->numRows) ||
|
|
(pSrcA->numRows != pDst->numRows) ||
|
|
(pSrcB->numCols != pDst->numCols) )
|
|
{
|
|
/* Set status as ARM_MATH_SIZE_MISMATCH */
|
|
status = ARM_MATH_SIZE_MISMATCH;
|
|
}
|
|
else
|
|
|
|
#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
|
|
|
|
{
|
|
/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
|
|
/* row loop */
|
|
do
|
|
{
|
|
/* Output pointer is set to starting address of the row being processed */
|
|
px = pOut + 2 * i;
|
|
|
|
/* For every row wise process, the column loop counter is to be initiated */
|
|
col = numColsB;
|
|
|
|
/* For every row wise process, the pIn2 pointer is set
|
|
** to the starting address of the pSrcB data */
|
|
pIn2 = pSrcB->pData;
|
|
|
|
j = 0U;
|
|
|
|
/* column loop */
|
|
do
|
|
{
|
|
/* Set the variable sum, that acts as accumulator, to zero */
|
|
sumReal = 0.0;
|
|
sumImag = 0.0;
|
|
|
|
/* Initiate pointer pIn1 to point to starting address of column being processed */
|
|
pIn1 = pInA;
|
|
|
|
#if defined (ARM_MATH_LOOPUNROLL)
|
|
|
|
/* Apply loop unrolling and compute 4 MACs simultaneously. */
|
|
colCnt = numColsA >> 2U;
|
|
|
|
/* matrix multiplication */
|
|
while (colCnt > 0U)
|
|
{
|
|
|
|
/* Reading real part of complex matrix A */
|
|
a0 = *pIn1;
|
|
|
|
/* Reading real part of complex matrix B */
|
|
c0 = *pIn2;
|
|
|
|
/* Reading imaginary part of complex matrix A */
|
|
b0 = *(pIn1 + 1U);
|
|
|
|
/* Reading imaginary part of complex matrix B */
|
|
d0 = *(pIn2 + 1U);
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal += (q63_t) a0 * c0;
|
|
sumImag += (q63_t) b0 * c0;
|
|
|
|
/* update pointers */
|
|
pIn1 += 2U;
|
|
pIn2 += 2 * numColsB;
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal -= (q63_t) b0 * d0;
|
|
sumImag += (q63_t) a0 * d0;
|
|
|
|
/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
|
|
|
|
/* read real and imag values from pSrcA and pSrcB buffer */
|
|
a1 = *(pIn1 );
|
|
c1 = *(pIn2 );
|
|
b1 = *(pIn1 + 1U);
|
|
d1 = *(pIn2 + 1U);
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal += (q63_t) a1 * c1;
|
|
sumImag += (q63_t) b1 * c1;
|
|
|
|
/* update pointers */
|
|
pIn1 += 2U;
|
|
pIn2 += 2 * numColsB;
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal -= (q63_t) b1 * d1;
|
|
sumImag += (q63_t) a1 * d1;
|
|
|
|
a0 = *(pIn1 );
|
|
c0 = *(pIn2 );
|
|
b0 = *(pIn1 + 1U);
|
|
d0 = *(pIn2 + 1U);
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal += (q63_t) a0 * c0;
|
|
sumImag += (q63_t) b0 * c0;
|
|
|
|
/* update pointers */
|
|
pIn1 += 2U;
|
|
pIn2 += 2 * numColsB;
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal -= (q63_t) b0 * d0;
|
|
sumImag += (q63_t) a0 * d0;
|
|
|
|
/* 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 += (q63_t) a1 * c1;
|
|
sumImag += (q63_t) b1 * c1;
|
|
|
|
/* update pointers */
|
|
pIn1 += 2U;
|
|
pIn2 += 2 * numColsB;
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal -= (q63_t) b1 * d1;
|
|
sumImag += (q63_t) 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
|
|
|
|
/* 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 += (q63_t) a1 * c1;
|
|
sumImag += (q63_t) b1 * c1;
|
|
|
|
/* update pointers */
|
|
pIn1 += 2U;
|
|
pIn2 += 2 * numColsB;
|
|
|
|
/* Multiply and Accumlates */
|
|
sumReal -= (q63_t) b1 * d1;
|
|
sumImag += (q63_t) a1 * d1;
|
|
|
|
/* Decrement loop counter */
|
|
colCnt--;
|
|
}
|
|
|
|
/* Store result in destination buffer */
|
|
*px++ = (q31_t) clip_q63_to_q31(sumReal >> 31);
|
|
*px++ = (q31_t) clip_q63_to_q31(sumImag >> 31);
|
|
|
|
/* 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 /* defined(ARM_MATH_MVEI) */
|
|
|
|
/**
|
|
@} end of MatrixMult group
|
|
*/
|