diff options
Diffstat (limited to 'fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c')
| -rw-r--r-- | fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c | 525 |
1 files changed, 525 insertions, 0 deletions
diff --git a/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c new file mode 100644 index 0000000..796df88 --- /dev/null +++ b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c @@ -0,0 +1,525 @@ +/* ----------------------------------------------------------------------
+ * 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
+ */
|