| /* ---------------------------------------------------------------------- |
| * Project: CMSIS DSP Library |
| * Title: arm_mat_mult_fast_q15.c |
| * Description: Q15 matrix multiplication (fast variant) |
| * |
| * $Date: 27. January 2017 |
| * $Revision: V.1.5.1 |
| * |
| * Target Processor: Cortex-M cores |
| * -------------------------------------------------------------------- */ |
| /* |
| * Copyright (C) 2010-2017 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. |
| */ |
| |
| #include "arm_math.h" |
| |
| /** |
| * @ingroup groupMatrix |
| */ |
| |
| /** |
| * @addtogroup MatrixMult |
| * @{ |
| */ |
| |
| |
| /** |
| * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 |
| * @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 |
| * @param[in] *pState points to the array for storing intermediate results |
| * @return The function returns either |
| * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. |
| * |
| * @details |
| * <b>Scaling and Overflow Behavior:</b> |
| * |
| * \par |
| * The difference between the function arm_mat_mult_q15() and this fast variant is that |
| * the fast variant use a 32-bit rather than a 64-bit accumulator. |
| * The result of each 1.15 x 1.15 multiplication is truncated to |
| * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 |
| * format. Finally, the accumulator is saturated and converted to a 1.15 result. |
| * |
| * \par |
| * The fast version has the same overflow behavior as the standard version but provides |
| * less precision since it discards the low 16 bits of each multiplication result. |
| * In order to avoid overflows completely the input signals must be scaled down. |
| * Scale down one of the input matrices by log2(numColsA) bits to |
| * avoid overflows, as a total of numColsA additions are computed internally for each |
| * output element. |
| * |
| * \par |
| * See <code>arm_mat_mult_q15()</code> for a slower implementation of this function |
| * which uses 64-bit accumulation to provide higher precision. |
| */ |
| |
| arm_status arm_mat_mult_fast_q15( |
| const arm_matrix_instance_q15 * pSrcA, |
| const arm_matrix_instance_q15 * pSrcB, |
| arm_matrix_instance_q15 * pDst, |
| q15_t * pState) |
| { |
| q31_t sum; /* accumulator */ |
| q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */ |
| q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ |
| q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ |
| q15_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 numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ |
| uint32_t col, i = 0U, row = numRowsB, colCnt; /* loop counters */ |
| arm_status status; /* status of matrix multiplication */ |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| |
| q31_t in; /* Temporary variable to hold the input value */ |
| q31_t inA1, inA2, inB1, inB2; |
| q31_t sum2, sum3, sum4; |
| q15_t *pInA2, *pInB2, *px2; |
| uint32_t j = 0; |
| |
| #else |
| |
| q15_t in; /* Temporary variable to hold the input value */ |
| q15_t inA1, inA2, inB1, inB2; |
| |
| #endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ |
| |
| #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 |
| { |
| /* Matrix transpose */ |
| do |
| { |
| /* Apply loop unrolling and exchange the columns with row elements */ |
| col = numColsB >> 2; |
| |
| /* The pointer px is set to starting address of the column being processed */ |
| px = pSrcBT + i; |
| |
| /* First part of the processing with loop unrolling. Compute 4 outputs at a time. |
| ** a second loop below computes the remaining 1 to 3 samples. */ |
| while (col > 0U) |
| { |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| /* Read two elements from the row */ |
| in = *__SIMD32(pInB)++; |
| |
| /* Unpack and store one element in the destination */ |
| #ifndef ARM_MATH_BIG_ENDIAN |
| |
| *px = (q15_t) in; |
| |
| #else |
| |
| *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); |
| |
| #endif /* #ifndef ARM_MATH_BIG_ENDIAN */ |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Unpack and store the second element in the destination */ |
| #ifndef ARM_MATH_BIG_ENDIAN |
| |
| *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); |
| |
| #else |
| |
| *px = (q15_t) in; |
| |
| #endif /* #ifndef ARM_MATH_BIG_ENDIAN */ |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Read two elements from the row */ |
| in = *__SIMD32(pInB)++; |
| |
| /* Unpack and store one element in the destination */ |
| #ifndef ARM_MATH_BIG_ENDIAN |
| |
| *px = (q15_t) in; |
| |
| #else |
| |
| *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); |
| |
| #endif /* #ifndef ARM_MATH_BIG_ENDIAN */ |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Unpack and store the second element in the destination */ |
| |
| #ifndef ARM_MATH_BIG_ENDIAN |
| |
| *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); |
| |
| #else |
| |
| *px = (q15_t) in; |
| |
| #endif /* #ifndef ARM_MATH_BIG_ENDIAN */ |
| |
| #else |
| |
| /* Read one element from the row */ |
| in = *pInB++; |
| |
| /* Store one element in the destination */ |
| *px = in; |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Read one element from the row */ |
| in = *pInB++; |
| |
| /* Store one element in the destination */ |
| *px = in; |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Read one element from the row */ |
| in = *pInB++; |
| |
| /* Store one element in the destination */ |
| *px = in; |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Read one element from the row */ |
| in = *pInB++; |
| |
| /* Store one element in the destination */ |
| *px = in; |
| |
| #endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Decrement the column loop counter */ |
| col--; |
| } |
| |
| /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. |
| ** No loop unrolling is used. */ |
| col = numColsB % 0x4U; |
| |
| while (col > 0U) |
| { |
| /* Read and store the input element in the destination */ |
| *px = *pInB++; |
| |
| /* Update the pointer px to point to the next row of the transposed matrix */ |
| px += numRowsB; |
| |
| /* Decrement the column loop counter */ |
| col--; |
| } |
| |
| i++; |
| |
| /* Decrement the row loop counter */ |
| row--; |
| |
| } while (row > 0U); |
| |
| /* Reset the variables for the usage in the following multiplication process */ |
| row = numRowsA; |
| i = 0U; |
| px = pDst->pData; |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| /* Process two rows from matrix A at a time and output two rows at a time */ |
| row = row >> 1; |
| px2 = px + numColsB; |
| #endif |
| |
| /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ |
| /* row loop */ |
| while (row > 0U) |
| { |
| /* 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 transposed pSrcB data */ |
| pInB = pSrcBT; |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| /* Process two (transposed) columns from matrix B at a time */ |
| col = col >> 1; |
| j = 0; |
| #endif |
| |
| /* column loop */ |
| while (col > 0U) |
| { |
| /* Set the variable sum, that acts as accumulator, to zero */ |
| sum = 0; |
| |
| /* Initiate the pointer pInA to point to the starting address of the column being processed */ |
| pInA = pSrcA->pData + i; |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| sum2 = 0; |
| sum3 = 0; |
| sum4 = 0; |
| pInB = pSrcBT + j; |
| pInA2 = pInA + numColsA; |
| pInB2 = pInB + numRowsB; |
| |
| /* Read in two elements at once - alows dual MAC instruction */ |
| colCnt = numColsA >> 1; |
| #else |
| colCnt = numColsA >> 2; |
| #endif |
| |
| /* 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) */ |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| |
| inA1 = *__SIMD32(pInA)++; |
| inB1 = *__SIMD32(pInB)++; |
| inA2 = *__SIMD32(pInA2)++; |
| inB2 = *__SIMD32(pInB2)++; |
| |
| sum = __SMLAD(inA1, inB1, sum); |
| sum2 = __SMLAD(inA1, inB2, sum2); |
| sum3 = __SMLAD(inA2, inB1, sum3); |
| sum4 = __SMLAD(inA2, inB2, sum4); |
| |
| #else |
| |
| inA1 = *pInA; |
| inB1 = *pInB; |
| sum += inA1 * inB1; |
| |
| inA2 = pInA[1]; |
| inB2 = pInB[1]; |
| sum += inA2 * inB2; |
| |
| inA1 = pInA[2]; |
| inB1 = pInB[2]; |
| sum += inA1 * inB1; |
| |
| inA2 = pInA[3]; |
| inB2 = pInB[3]; |
| sum += inA2 * inB2; |
| |
| pInA += 4; |
| pInB += 4; |
| |
| #endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ |
| |
| /* Decrement the loop counter */ |
| colCnt--; |
| } |
| |
| /* process odd column samples */ |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| if (numColsA & 1U) { |
| inA1 = *pInA++; |
| inB1 = *pInB++; |
| inA2 = *pInA2++; |
| inB2 = *pInB2++; |
| sum += inA1 * inB1; |
| sum2 += inA1 * inB2; |
| sum3 += inA2 * inB1; |
| sum4 += inA2 * inB2; |
| } |
| #else |
| 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 += (q31_t) (*pInA++) * (*pInB++); |
| |
| colCnt--; |
| } |
| #endif |
| |
| /* Saturate and store the result in the destination buffer */ |
| *px++ = (q15_t) (sum >> 15); |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| *px++ = (q15_t) (sum2 >> 15); |
| *px2++ = (q15_t) (sum3 >> 15); |
| *px2++ = (q15_t) (sum4 >> 15); |
| j += numRowsB * 2; |
| #endif |
| |
| /* Decrement the column loop counter */ |
| col--; |
| |
| } |
| |
| i = i + numColsA; |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| i = i + numColsA; |
| px = px2 + (numColsB & 1U); |
| px2 = px + numColsB; |
| #endif |
| |
| /* Decrement the row loop counter */ |
| row--; |
| |
| } |
| |
| /* Compute any remaining odd row/column below */ |
| |
| #ifndef UNALIGNED_SUPPORT_DISABLE |
| |
| /* Compute remaining output column */ |
| if (numColsB & 1U) { |
| |
| /* Avoid redundant computation of last element */ |
| row = numRowsA & (~0x1); |
| |
| /* Point to remaining unfilled column in output matrix */ |
| px = pDst->pData+numColsB-1; |
| pInA = pSrcA->pData; |
| |
| /* row loop */ |
| while (row > 0) |
| { |
| |
| /* point to last column in matrix B */ |
| pInB = pSrcBT + numRowsB*(numColsB-1); |
| |
| /* Set the variable sum, that acts as accumulator, to zero */ |
| sum = 0; |
| |
| /* Compute 4 columns at once */ |
| colCnt = numColsA >> 2; |
| |
| /* matrix multiplication */ |
| while (colCnt > 0U) |
| { |
| inA1 = *__SIMD32(pInA)++; |
| inA2 = *__SIMD32(pInA)++; |
| inB1 = *__SIMD32(pInB)++; |
| inB2 = *__SIMD32(pInB)++; |
| |
| sum = __SMLAD(inA1, inB1, sum); |
| sum = __SMLAD(inA2, inB2, sum); |
| |
| /* Decrement the loop counter */ |
| colCnt--; |
| } |
| |
| colCnt = numColsA & 3U; |
| while (colCnt > 0U) { |
| sum += (q31_t) (*pInA++) * (*pInB++); |
| colCnt--; |
| } |
| |
| /* Store the result in the destination buffer */ |
| *px = (q15_t) (sum >> 15); |
| px += numColsB; |
| |
| /* Decrement the row loop counter */ |
| row--; |
| } |
| } |
| |
| /* Compute remaining output row */ |
| if (numRowsA & 1U) { |
| |
| /* point to last row in output matrix */ |
| px = pDst->pData+(numColsB)*(numRowsA-1); |
| |
| pInB = pSrcBT; |
| col = numColsB; |
| i = 0U; |
| |
| /* col loop */ |
| while (col > 0) |
| { |
| |
| /* point to last row in matrix A */ |
| pInA = pSrcA->pData + (numRowsA-1)*numColsA; |
| |
| /* Set the variable sum, that acts as accumulator, to zero */ |
| sum = 0; |
| |
| /* Compute 4 columns at once */ |
| colCnt = numColsA >> 2; |
| |
| /* matrix multiplication */ |
| while (colCnt > 0U) |
| { |
| inA1 = *__SIMD32(pInA)++; |
| inA2 = *__SIMD32(pInA)++; |
| inB1 = *__SIMD32(pInB)++; |
| inB2 = *__SIMD32(pInB)++; |
| |
| sum = __SMLAD(inA1, inB1, sum); |
| sum = __SMLAD(inA2, inB2, sum); |
| |
| /* Decrement the loop counter */ |
| colCnt--; |
| } |
| |
| colCnt = numColsA & 3U; |
| while (colCnt > 0U) { |
| sum += (q31_t) (*pInA++) * (*pInB++); |
| colCnt--; |
| } |
| |
| /* Store the result in the destination buffer */ |
| *px++ = (q15_t) (sum >> 15); |
| |
| /* Decrement the col loop counter */ |
| col--; |
| } |
| } |
| |
| #endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ |
| |
| /* set status as ARM_MATH_SUCCESS */ |
| status = ARM_MATH_SUCCESS; |
| } |
| |
| /* Return to application */ |
| return (status); |
| } |
| |
| /** |
| * @} end of MatrixMult group |
| */ |
