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| /* ---------------------------------------------------------------------- | |
| * Project: CMSIS DSP Library | |
| * Title: arm_mat_mult_f32.c | |
| * Description: Floating-point matrix multiplication | |
| * | |
| * $Date: 23 April 2021 | |
| * $Revision: V1.9.0 | |
| * | |
| * Target Processor: Cortex-M and Cortex-A cores | |
| * -------------------------------------------------------------------- */ | |
| /* | |
| * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. | |
| * | |
| * SPDX-License-Identifier: Apache-2.0 | |
| * | |
| * Licensed under the Apache License, Version 2.0 (the License); you may | |
| * not use this file except in compliance with the License. | |
| * You may obtain a copy of the License at | |
| * | |
| * www.apache.org/licenses/LICENSE-2.0 | |
| * | |
| * Unless required by applicable law or agreed to in writing, software | |
| * distributed under the License is distributed on an AS IS BASIS, WITHOUT | |
| * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| * See the License for the specific language governing permissions and | |
| * limitations under the License. | |
| */ | |
| /** | |
| * @ingroup groupMatrix | |
| */ | |
| /** | |
| * @defgroup MatrixMult Matrix Multiplication | |
| * | |
| * Multiplies two matrices. | |
| * | |
| * @par Multiplication of two 3x3 matrices: | |
| * | |
| * \f[ | |
| * \begin{pmatrix} | |
| * a_{1,1} & a_{1,2} & a_{1,3} \\ | |
| * a_{2,1} & a_{2,2} & a_{2,3} \\ | |
| * a_{3,1} & a_{3,2} & a_{3,3} \\ | |
| * \end{pmatrix} | |
| * | |
| * \begin{pmatrix} | |
| * b_{1,1} & b_{1,2} & b_{1,3} \\ | |
| * b_{2,1} & b_{2,2} & b_{2,3} \\ | |
| * b_{3,1} & b_{3,2} & b_{3,3} \\ | |
| * \end{pmatrix} | |
| * = | |
| * \begin{pmatrix} | |
| * a_{1,1} b_{1,1}+a_{1,2} b_{2,1}+a_{1,3} b_{3,1} & a_{1,1} b_{1,2}+a_{1,2} b_{2,2}+a_{1,3} b_{3,2} & a_{1,1} b_{1,3}+a_{1,2} b_{2,3}+a_{1,3} b_{3,3} \\ | |
| * a_{2,1} b_{1,1}+a_{2,2} b_{2,1}+a_{2,3} b_{3,1} & a_{2,1} b_{1,2}+a_{2,2} b_{2,2}+a_{2,3} b_{3,2} & a_{2,1} b_{1,3}+a_{2,2} b_{2,3}+a_{2,3} b_{3,3} \\ | |
| * a_{3,1} b_{1,1}+a_{3,2} b_{2,1}+a_{3,3} b_{3,1} & a_{3,1} b_{1,2}+a_{3,2} b_{2,2}+a_{3,3} b_{3,2} & a_{3,1} b_{1,3}+a_{3,2} b_{2,3}+a_{3,3} b_{3,3} \\ | |
| * \end{pmatrix} | |
| * \f] | |
| * Matrix multiplication is only defined if the number of columns of the | |
| * first matrix equals the number of rows of the second matrix. | |
| * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results | |
| * in an <code>M x P</code> matrix. | |
| * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of | |
| * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output | |
| * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>. | |
| */ | |
| /** | |
| * @addtogroup MatrixMult | |
| * @{ | |
| */ | |
| __STATIC_INLINE arm_status arm_mat_mult_f32_2x2_mve( | |
| const arm_matrix_instance_f32 *pSrcA, | |
| const arm_matrix_instance_f32 *pSrcB, | |
| arm_matrix_instance_f32 *pDst) | |
| { | |
| /* {a00, a00, a10, a10} */ | |
| static const uint32_t offsetA0[4] = { 0, 0, 2, 2 }; | |
| /* {b00, b01, b00, b01} */ | |
| static const uint32_t offsetB0[4] = { 0, 1, 0, 1 }; | |
| /* {a01, a01, a11, a11} */ | |
| static const uint32_t offsetA1[4] = { 1, 1, 3, 3 }; | |
| /* {b10, b11, b10, b11} */ | |
| static const uint32_t offsetB1[4] = { 2, 3, 2, 3 }; | |
| uint32x4_t vecOffsA, vecOffsB; | |
| f32x4_t vecInA, vecInB, vecDst; | |
| vecOffsA = vldrwq_u32((uint32_t const *) offsetA0); | |
| vecOffsB = vldrwq_u32((uint32_t const *) offsetB0); | |
| vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA); | |
| vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB); | |
| vecDst = vmulq(vecInA, vecInB); | |
| vecOffsA = vldrwq_u32((uint32_t const *) offsetA1); | |
| vecOffsB = vldrwq_u32((uint32_t const *) offsetB1); | |
| vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA); | |
| vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB); | |
| vecDst = vfmaq(vecDst, vecInA, vecInB); | |
| vstrwq_f32(pDst->pData, vecDst); | |
| return (ARM_MATH_SUCCESS); | |
| } | |
| /* | |
| * A = {{a00, a01, a02}, | |
| * {a10, a11, a12}, | |
| * {a20, a21, a22}} | |
| * B = {{b00, b01, b02}, | |
| * {b10, b11, b12}, | |
| * {b20, b21, b22}} | |
| * | |
| * Dst = {{a00 b00 + a01 b10 + a02 b20, a00 b01 + a01 b11 + a02 b21, a00 b02 + a01 b12 + a02 b22}, | |
| * {a10 b00 + a11 b10 + a12 b20, a10 b01 + a11 b11 + a12 b21, a10 b02 + a11 b12 + a12 b22}, | |
| * {a20 b00 + a21 b10 + a22 b20, a20 b01 + a21 b11 + a22 b21, a20 b02 + a21 b12 + a22 b22}} | |
| */ | |
| __STATIC_INLINE arm_status arm_mat_mult_f32_3x3_mve( | |
| const arm_matrix_instance_f32 *pSrcA, | |
| const arm_matrix_instance_f32 *pSrcB, | |
| arm_matrix_instance_f32 *pDst) | |
| { | |
| float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ | |
| float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ | |
| float32_t *pOut = pDst->pData; /* output data matrix pointer */ | |
| float32_t *pInA0, *pInA1, *pInA2; | |
| f32x4_t vecMac0, vecMac1, vecMac2; | |
| f32x4_t vecInB; | |
| float32_t const *pSrBVec; | |
| pSrBVec = (float32_t const *) pInB; | |
| pInA0 = pInA; | |
| pInA1 = pInA0 + MATRIX_DIM3; | |
| pInA2 = pInA1 + MATRIX_DIM3; | |
| /* enable predication to disable last (4th) vector element */ | |
| mve_pred16_t p0 = vctp32q(MATRIX_DIM3); | |
| /* | |
| * load {b0,0, b0,1, b0,2, 0} | |
| */ | |
| vecInB = vldrwq_z_f32(pSrBVec, p0); | |
| pSrBVec += MATRIX_DIM3; | |
| vecMac0 = vmulq(vecInB, *pInA0++); | |
| vecMac1 = vmulq(vecInB, *pInA1++); | |
| vecMac2 = vmulq(vecInB, *pInA2++); | |
| /* | |
| * load {b1,0, b1,1, b1,2, 0} | |
| */ | |
| vecInB = vldrwq_z_f32(pSrBVec, p0); | |
| pSrBVec += MATRIX_DIM3; | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| /* | |
| * load {b2,0, b2,1 , b2,2, 0} | |
| */ | |
| vecInB = vldrwq_z_f32(pSrBVec, p0); | |
| pSrBVec += MATRIX_DIM3; | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| /* partial vector stores */ | |
| vstrwq_p_f32(pOut, vecMac0, p0); | |
| pOut += MATRIX_DIM3; | |
| vstrwq_p_f32(pOut, vecMac1, p0); | |
| pOut += MATRIX_DIM3; | |
| vstrwq_p_f32(pOut, vecMac2, p0); | |
| /* | |
| * Return to application | |
| */ | |
| return (ARM_MATH_SUCCESS); | |
| } | |
| __STATIC_INLINE arm_status arm_mat_mult_f32_4x4_mve( | |
| const arm_matrix_instance_f32 *pSrcA, | |
| const arm_matrix_instance_f32 *pSrcB, | |
| arm_matrix_instance_f32 *pDst) | |
| { | |
| float32_t const *pSrBVec; | |
| float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ | |
| float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ | |
| float32_t *pOut = pDst->pData; /* output data matrix pointer */ | |
| float32_t *pInA0, *pInA1, *pInA2, *pInA3; | |
| f32x4_t vecMac0, vecMac1, vecMac2, vecMac3; | |
| f32x4_t vecInB; | |
| pSrBVec = (float32_t const *) pInB; | |
| pInA0 = pInA; | |
| pInA1 = pInA0 + MATRIX_DIM4; | |
| pInA2 = pInA1 + MATRIX_DIM4; | |
| pInA3 = pInA2 + MATRIX_DIM4; | |
| /* | |
| * load {b0,0, b0,1, b0,2, b0,3} | |
| */ | |
| vecInB = vld1q(pSrBVec); | |
| pSrBVec += MATRIX_DIM4; | |
| vecMac0 = vmulq(vecInB, *pInA0++); | |
| vecMac1 = vmulq(vecInB, *pInA1++); | |
| vecMac2 = vmulq(vecInB, *pInA2++); | |
| vecMac3 = vmulq(vecInB, *pInA3++); | |
| /* | |
| * load {b1,0, b1,1, b1,2, b1,3} | |
| */ | |
| vecInB = vld1q(pSrBVec); | |
| pSrBVec += MATRIX_DIM4; | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); | |
| /* | |
| * load {b2,0, b2,1, b2,2, b2,3} | |
| */ | |
| vecInB = vld1q(pSrBVec); | |
| pSrBVec += MATRIX_DIM4; | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); | |
| /* | |
| * load {b3,0, b3,1, b3,2, b3,3} | |
| */ | |
| vecInB = vld1q(pSrBVec); | |
| pSrBVec += MATRIX_DIM4; | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); | |
| vst1q(pOut, vecMac0); | |
| pOut += MATRIX_DIM4; | |
| vst1q(pOut, vecMac1); | |
| pOut += MATRIX_DIM4; | |
| vst1q(pOut, vecMac2); | |
| pOut += MATRIX_DIM4; | |
| vst1q(pOut, vecMac3); | |
| /* | |
| * Return to application | |
| */ | |
| return (ARM_MATH_SUCCESS); | |
| } | |
| /** | |
| * @brief Floating-point matrix multiplication. | |
| * @param[in] *pSrcA points to the first input matrix structure | |
| * @param[in] *pSrcB points to the second input matrix structure | |
| * @param[out] *pDst points to output matrix structure | |
| * @return The function returns either | |
| * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. | |
| */ | |
| arm_status arm_mat_mult_f32( | |
| const arm_matrix_instance_f32 * pSrcA, | |
| const arm_matrix_instance_f32 * pSrcB, | |
| arm_matrix_instance_f32 * pDst) | |
| { | |
| float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ | |
| float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ | |
| float32_t *pOut = pDst->pData; /* output data matrix pointer */ | |
| int numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ | |
| int numColsB = pSrcB->numCols; /* number of columns of input matrix B */ | |
| int numColsA = pSrcA->numCols; /* number of columns of input matrix A */ | |
| uint32_t blkCnt; /* loop counters */ | |
| uint32_t i; | |
| arm_status status; | |
| /* 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 | |
| { | |
| /* small squared matrix specialized routines */ | |
| if(numRowsA == numColsB && numColsB == numColsA) { | |
| if (numRowsA == 1) | |
| { | |
| pOut[0] = pInA[0] * pInB[0]; | |
| return(ARM_MATH_SUCCESS); | |
| } | |
| else if(numRowsA == 2) | |
| return arm_mat_mult_f32_2x2_mve(pSrcA, pSrcB, pDst); | |
| else if(numRowsA == 3) | |
| return arm_mat_mult_f32_3x3_mve(pSrcA, pSrcB, pDst); | |
| else if(numRowsA == 4) | |
| return arm_mat_mult_f32_4x4_mve(pSrcA, pSrcB, pDst); | |
| } | |
| /* main loop process 4 rows */ | |
| i = numRowsA >> 2; | |
| while (i > 0U) | |
| { | |
| float32_t *pInA0, *pInA1, *pInA2, *pInA3; | |
| float32_t *pInB0; | |
| float32_t *pOut0, *pOut1, *pOut2, *pOut3; | |
| f32x4_t vecMac0, vecMac1, vecMac2, vecMac3; | |
| f32x4_t vecInB; | |
| /* pointers to 4 consecutive output rows */ | |
| pOut0 = pOut; | |
| pOut1 = pOut0 + numColsB; | |
| pOut2 = pOut1 + numColsB; | |
| pOut3 = pOut2 + numColsB; | |
| pInB0 = pInB; | |
| uint32_t k = numColsB >> 2; | |
| while (k > 0U) | |
| { | |
| /* pointers to 4 consecutive Matrix A rows */ | |
| pInA0 = pInA; | |
| pInA1 = pInA0 + numColsA; | |
| pInA2 = pInA1 + numColsA; | |
| pInA3 = pInA2 + numColsA; | |
| vecMac0 = vdupq_n_f32(0.0f); | |
| vecMac1 = vdupq_n_f32(0.0f); | |
| vecMac2 = vdupq_n_f32(0.0f); | |
| vecMac3 = vdupq_n_f32(0.0f); | |
| blkCnt = numColsA; | |
| while (blkCnt > 0U) | |
| { | |
| /* | |
| * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} | |
| */ | |
| vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */ | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); | |
| pInB0 = pInB0 + numColsB; | |
| /* | |
| * Decrement the blockSize loop counter | |
| */ | |
| blkCnt--; | |
| } | |
| /* Store the results (4 x 4 block) in the destination buffer */ | |
| vst1q(pOut0, vecMac0); | |
| pOut0 += 4; | |
| vst1q(pOut1, vecMac1); | |
| pOut1 += 4; | |
| vst1q(pOut2, vecMac2); | |
| pOut2 += 4; | |
| vst1q(pOut3, vecMac3); | |
| pOut3 += 4; | |
| /* | |
| * rewind | |
| */ | |
| pInB0 -= (numColsB * numColsA) - 4; | |
| k--; | |
| } | |
| int colBLeft = numColsB & 3; | |
| if (colBLeft) | |
| { | |
| pInA0 = pInA; | |
| pInA1 = pInA0 + numColsA; | |
| pInA2 = pInA1 + numColsA; | |
| pInA3 = pInA2 + numColsA; | |
| mve_pred16_t p0 = vctp32q(colBLeft); | |
| vecMac0 = vdupq_n_f32(0.0f); | |
| vecMac1 = vdupq_n_f32(0.0f); | |
| vecMac2 = vdupq_n_f32(0.0f); | |
| vecMac3 = vdupq_n_f32(0.0f); | |
| blkCnt = numColsA; | |
| while (blkCnt > 0U) | |
| { | |
| /* | |
| * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} | |
| */ | |
| vecInB = vldrwq_z_f32(pInB0, p0); | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); | |
| vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); | |
| vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); | |
| pInB0 = pInB0 + numColsB; | |
| /* | |
| * Decrement the blockSize loop counter | |
| */ | |
| blkCnt--; | |
| } | |
| /* Store the results (4 x colBLeft block) in the destination buffer */ | |
| vstrwq_p_f32(pOut0, vecMac0, p0); | |
| vstrwq_p_f32(pOut1, vecMac1, p0); | |
| vstrwq_p_f32(pOut2, vecMac2, p0); | |
| vstrwq_p_f32(pOut3, vecMac3, p0); | |
| } | |
| /* move to next rows */ | |
| pInA += 4 * numColsA; | |
| pOut += 4 * numColsB; | |
| i--; | |
| } | |
| /* | |
| * non multiple of 4 rows for Matrix A | |
| * process single row | |
| */ | |
| if (numRowsA & 3) | |
| { | |
| i = numRowsA & 3; | |
| while (i > 0U) | |
| { | |
| float32_t *pInA0; | |
| float32_t *pInB0; | |
| float32_t *pOut0; | |
| f32x4_t vecInB; | |
| f32x4_t vecMac0; | |
| pOut0 = pOut; | |
| pInB0 = pInB; | |
| uint32_t k = numColsB >> 2; | |
| while (k > 0U) | |
| { | |
| pInA0 = pInA; | |
| vecMac0 = vdupq_n_f32(0.0f); | |
| blkCnt = numColsA; | |
| while (blkCnt > 0U) | |
| { | |
| /* | |
| * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} | |
| */ | |
| vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */ | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| pInB0 = pInB0 + numColsB; | |
| /* | |
| * Decrement the blockSize loop counter | |
| */ | |
| blkCnt--; | |
| } | |
| /* Store the results (1 x 4 block) in the destination buffer */ | |
| vst1q(pOut0, vecMac0); | |
| pOut0 += 4; | |
| /* | |
| * rewind | |
| */ | |
| pInB0 -= (numColsB * numColsA) - 4; | |
| k--; | |
| } | |
| int colBLeft = numColsB & 3; | |
| if (colBLeft) | |
| { | |
| pInA0 = pInA; | |
| mve_pred16_t p0 = vctp32q(colBLeft); | |
| vecMac0 = vdupq_n_f32(0.0f); | |
| blkCnt = numColsA; | |
| while (blkCnt > 0U) | |
| { | |
| /* | |
| * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} | |
| */ | |
| vecInB = vldrwq_z_f32(pInB0, p0); | |
| vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); | |
| pInB0 = pInB0 + numColsB; | |
| /* | |
| * Decrement the blockSize loop counter | |
| */ | |
| blkCnt--; | |
| } | |
| /* Store the results (1 x colBLeft block) in the destination buffer */ | |
| vstrwq_p_f32(pOut0, vecMac0, p0); | |
| } | |
| /* move to next row */ | |
| pInA += 1 * numColsA; | |
| pOut += 1 * numColsB; | |
| i--; | |
| } | |
| } | |
| status = ARM_MATH_SUCCESS; | |
| } | |
| /* Return to application */ | |
| return (status); | |
| } | |
| /** | |
| * @brief Floating-point matrix multiplication. | |
| * @param[in] *pSrcA points to the first input matrix structure | |
| * @param[in] *pSrcB points to the second input matrix structure | |
| * @param[out] *pDst points to output matrix structure | |
| * @return The function returns either | |
| * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. | |
| */ | |
| arm_status arm_mat_mult_f32( | |
| const arm_matrix_instance_f32 * pSrcA, | |
| const arm_matrix_instance_f32 * pSrcB, | |
| arm_matrix_instance_f32 * pDst) | |
| { | |
| float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ | |
| float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ | |
| float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ | |
| float32_t *pOut = pDst->pData; /* output data matrix pointer */ | |
| float32_t *px; /* Temporary output data matrix pointer */ | |
| float32_t sum; /* Accumulator */ | |
| 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, j, row = numRowsA, rowCnt, colCnt; /* loop counters */ | |
| arm_status status; /* status of matrix multiplication */ | |
| float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V; | |
| float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp; | |
| float32x2_t accum = vdup_n_f32(0); | |
| float32_t *pIn1B = pSrcA->pData; | |
| float32_t *pIn1C = pSrcA->pData; | |
| float32_t *pIn1D = pSrcA->pData; | |
| float32_t *pIn1E = pSrcA->pData; | |
| float32_t *pIn1F = pSrcA->pData; | |
| float32_t *pIn1G = pSrcA->pData; | |
| float32_t *pIn1H = pSrcA->pData; | |
| float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH; /* Temporary output data matrix pointer */ | |
| float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7; | |
| /* 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 | |
| { | |
| /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ | |
| /* Row loop */ | |
| rowCnt = row >> 3; | |
| while(rowCnt > 0) | |
| { | |
| /* Output pointer is set to starting address of the row being processed */ | |
| px = pOut + GROUPOFROWS*i; | |
| pxB = px + numColsB; | |
| pxC = px + 2*numColsB; | |
| pxD = px + 3*numColsB; | |
| pxE = px + 4*numColsB; | |
| pxF = px + 5*numColsB; | |
| pxG = px + 6*numColsB; | |
| pxH = px + 7*numColsB; | |
| /* 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 */ | |
| sum0 = 0.0f; | |
| sum1 = 0.0f; | |
| sum2 = 0.0f; | |
| sum3 = 0.0f; | |
| sum4 = 0.0f; | |
| sum5 = 0.0f; | |
| sum6 = 0.0f; | |
| sum7 = 0.0f; | |
| /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ | |
| pIn1 = pInA; | |
| pIn1B = pIn1 + numColsA; | |
| pIn1C = pIn1 + 2*numColsA; | |
| pIn1D = pIn1 + 3*numColsA; | |
| pIn1E = pIn1 + 4*numColsA; | |
| pIn1F = pIn1 + 5*numColsA; | |
| pIn1G = pIn1 + 6*numColsA; | |
| pIn1H = pIn1 + 7*numColsA; | |
| acc0 = vdupq_n_f32(0.0); | |
| acc1 = vdupq_n_f32(0.0); | |
| acc2 = vdupq_n_f32(0.0); | |
| acc3 = vdupq_n_f32(0.0); | |
| acc4 = vdupq_n_f32(0.0); | |
| acc5 = vdupq_n_f32(0.0); | |
| acc6 = vdupq_n_f32(0.0); | |
| acc7 = vdupq_n_f32(0.0); | |
| /* Compute 4 MACs simultaneously. */ | |
| colCnt = numColsA >> 2U; | |
| /* Matrix multiplication */ | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ | |
| a0V = vld1q_f32(pIn1); | |
| a1V = vld1q_f32(pIn1B); | |
| a2V = vld1q_f32(pIn1C); | |
| a3V = vld1q_f32(pIn1D); | |
| a4V = vld1q_f32(pIn1E); | |
| a5V = vld1q_f32(pIn1F); | |
| a6V = vld1q_f32(pIn1G); | |
| a7V = vld1q_f32(pIn1H); | |
| pIn1 += 4; | |
| pIn1B += 4; | |
| pIn1C += 4; | |
| pIn1D += 4; | |
| pIn1E += 4; | |
| pIn1F += 4; | |
| pIn1G += 4; | |
| pIn1H += 4; | |
| temp = vsetq_lane_f32(*pIn2,temp,0); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,1); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,2); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,3); | |
| pIn2 += numColsB; | |
| acc0 = vmlaq_f32(acc0,a0V,temp); | |
| acc1 = vmlaq_f32(acc1,a1V,temp); | |
| acc2 = vmlaq_f32(acc2,a2V,temp); | |
| acc3 = vmlaq_f32(acc3,a3V,temp); | |
| acc4 = vmlaq_f32(acc4,a4V,temp); | |
| acc5 = vmlaq_f32(acc5,a5V,temp); | |
| acc6 = vmlaq_f32(acc6,a6V,temp); | |
| acc7 = vmlaq_f32(acc7,a7V,temp); | |
| /* Decrement the loop count */ | |
| colCnt--; | |
| } | |
| accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0)); | |
| sum0 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1)); | |
| sum1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2)); | |
| sum2 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3)); | |
| sum3 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4)); | |
| sum4 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5)); | |
| sum5 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6)); | |
| sum6 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7)); | |
| sum7 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. | |
| ** No loop unrolling is used. */ | |
| colCnt = numColsA & 3; | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ | |
| sum0 += *pIn1++ * (*pIn2); | |
| sum1 += *pIn1B++ * (*pIn2); | |
| sum2 += *pIn1C++ * (*pIn2); | |
| sum3 += *pIn1D++ * (*pIn2); | |
| sum4 += *pIn1E++ * (*pIn2); | |
| sum5 += *pIn1F++ * (*pIn2); | |
| sum6 += *pIn1G++ * (*pIn2); | |
| sum7 += *pIn1H++ * (*pIn2); | |
| pIn2 += numColsB; | |
| /* Decrement the loop counter */ | |
| colCnt--; | |
| } | |
| /* Store the result in the destination buffer */ | |
| *px++ = sum0; | |
| *pxB++ = sum1; | |
| *pxC++ = sum2; | |
| *pxD++ = sum3; | |
| *pxE++ = sum4; | |
| *pxF++ = sum5; | |
| *pxG++ = sum6; | |
| *pxH++ = sum7; | |
| /* Update the pointer pIn2 to point to the starting address of the next column */ | |
| j++; | |
| pIn2 = pSrcB->pData + j; | |
| /* Decrement the column loop counter */ | |
| col--; | |
| } while (col > 0U); | |
| /* Update the pointer pInA to point to the starting address of the next row */ | |
| i = i + numColsB; | |
| pInA = pInA + GROUPOFROWS*numColsA; | |
| /* Decrement the row loop counter */ | |
| rowCnt--; | |
| } | |
| /* | |
| i was the index of a group of rows computed by previous loop. | |
| Now i is the index of a row since below code is computing row per row | |
| and no more group of row per group of rows. | |
| */ | |
| i = GROUPOFROWS*i; | |
| rowCnt = row & 7; | |
| while(rowCnt > 0) | |
| { | |
| /* Output pointer is set to starting address of the row being processed */ | |
| px = pOut + 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 */ | |
| sum = 0.0f; | |
| /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ | |
| pIn1 = pInA; | |
| acc0 = vdupq_n_f32(0.0); | |
| /* Compute 4 MACs simultaneously. */ | |
| colCnt = numColsA >> 2U; | |
| /* Matrix multiplication */ | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ | |
| a0V = vld1q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2) | |
| pIn1 += 4; | |
| temp = vsetq_lane_f32(*pIn2,temp,0); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,1); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,2); | |
| pIn2 += numColsB; | |
| temp = vsetq_lane_f32(*pIn2,temp,3); | |
| pIn2 += numColsB; | |
| acc0 = vmlaq_f32(acc0,a0V,temp); | |
| /* Decrement the loop count */ | |
| colCnt--; | |
| } | |
| accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0)); | |
| sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); | |
| /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. | |
| ** No loop unrolling is used. */ | |
| colCnt = numColsA % 0x4U; | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ | |
| sum += *pIn1++ * (*pIn2); | |
| pIn2 += numColsB; | |
| /* Decrement the loop counter */ | |
| colCnt--; | |
| } | |
| /* Store the result in the destination buffer */ | |
| *px++ = sum; | |
| /* Update the pointer pIn2 to point to the starting address of the next column */ | |
| j++; | |
| pIn2 = pSrcB->pData + j; | |
| /* Decrement the column loop counter */ | |
| col--; | |
| } while (col > 0U); | |
| /* Update the pointer pInA to point to the starting address of the next row */ | |
| i = i + numColsB; | |
| pInA = pInA + numColsA; | |
| /* Decrement the row loop counter */ | |
| rowCnt--; | |
| } | |
| /* Set status as ARM_MATH_SUCCESS */ | |
| status = ARM_MATH_SUCCESS; | |
| } | |
| /* Return to application */ | |
| return (status); | |
| } | |
| /** | |
| * @brief Floating-point matrix multiplication. | |
| * @param[in] *pSrcA points to the first input matrix structure | |
| * @param[in] *pSrcB points to the second input matrix structure | |
| * @param[out] *pDst points to output matrix structure | |
| * @return The function returns either | |
| * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. | |
| */ | |
| arm_status arm_mat_mult_f32( | |
| const arm_matrix_instance_f32 * pSrcA, | |
| const arm_matrix_instance_f32 * pSrcB, | |
| arm_matrix_instance_f32 * pDst) | |
| { | |
| float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ | |
| float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ | |
| float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ | |
| float32_t *pInB = pSrcB->pData; /* Input data matrix pointer B */ | |
| float32_t *pOut = pDst->pData; /* Output data matrix pointer */ | |
| float32_t *px; /* Temporary output data matrix pointer */ | |
| float32_t sum; /* Accumulator */ | |
| 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 */ | |
| uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */ | |
| arm_status status; /* Status of matrix multiplication */ | |
| /* 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 | |
| { | |
| /* 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 row being processed */ | |
| px = pOut + i; | |
| /* For every row wise process, column loop counter is to be initiated */ | |
| col = numColsB; | |
| /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ | |
| pIn2 = pSrcB->pData; | |
| /* column loop */ | |
| do | |
| { | |
| /* Set the variable sum, that acts as accumulator, to zero */ | |
| sum = 0.0f; | |
| /* Initialize pointer pIn1 to point to starting address of column being processed */ | |
| pIn1 = pInA; | |
| /* Loop unrolling: Compute 4 MACs at a time. */ | |
| colCnt = numColsA >> 2U; | |
| /* matrix multiplication */ | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,p) = a(m,1) * b(1,p) + a(m,2) * b(2,p) + .... + a(m,n) * b(n,p) */ | |
| /* Perform the multiply-accumulates */ | |
| sum += *pIn1++ * *pIn2; | |
| pIn2 += numColsB; | |
| sum += *pIn1++ * *pIn2; | |
| pIn2 += numColsB; | |
| sum += *pIn1++ * *pIn2; | |
| pIn2 += numColsB; | |
| sum += *pIn1++ * *pIn2; | |
| pIn2 += numColsB; | |
| /* Decrement loop counter */ | |
| colCnt--; | |
| } | |
| /* Loop unrolling: Compute remaining MACs */ | |
| colCnt = numColsA % 0x4U; | |
| /* Initialize cntCnt with number of columns */ | |
| colCnt = numColsA; | |
| while (colCnt > 0U) | |
| { | |
| /* c(m,p) = a(m,1) * b(1,p) + a(m,2) * b(2,p) + .... + a(m,n) * b(n,p) */ | |
| /* Perform the multiply-accumulates */ | |
| sum += *pIn1++ * *pIn2; | |
| pIn2 += numColsB; | |
| /* Decrement loop counter */ | |
| colCnt--; | |
| } | |
| /* Store result in destination buffer */ | |
| *px++ = sum; | |
| /* Decrement column loop counter */ | |
| col--; | |
| /* Update pointer pIn2 to point to starting address of next column */ | |
| pIn2 = pInB + (numColsB - col); | |
| } while (col > 0U); | |
| /* Update pointer pInA to point to starting address of next row */ | |
| i = i + numColsB; | |
| pInA = pInA + numColsA; | |
| /* Decrement row loop counter */ | |
| row--; | |
| } while (row > 0U); | |
| /* Set status as ARM_MATH_SUCCESS */ | |
| status = ARM_MATH_SUCCESS; | |
| } | |
| /* Return to application */ | |
| return (status); | |
| } | |
| /** | |
| * @} end of MatrixMult group | |
| */ | |