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/* ----------------------------------------------------------------------

 * Project:      CMSIS DSP Library

 * Title:        arm_mat_mult_q31.c

 * Description:  Q31 matrix multiplication

 *

 * $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 Q31 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.

 *

 * @details

 * <b>Scaling and Overflow Behavior:</b>

 *

 * \par

 * The function is implemented using an internal 64-bit accumulator.

 * The accumulator has a 2.62 format and maintains full precision of the intermediate

 * multiplication results but provides only a single guard bit. There is no saturation

 * on intermediate additions. Thus, if the accumulator overflows it wraps around and

 * distorts the result. The input signals should be scaled down to avoid intermediate

 * overflows. The input is thus scaled down by log2(numColsA) bits

 * to avoid overflows, as a total of numColsA additions are performed internally.

 * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.

 *

 * \par

 * See <code>arm_mat_mult_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.

 *

 */

arm_status arm_mat_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 */

  q63_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 */

#if defined (ARM_MATH_DSP)

  /* Run the below code for Cortex-M4 and Cortex-M3 */

  uint16_t col, i = 0U, j, row = numRowsA, colCnt;      /* loop counters */

  arm_status status;                             /* status of matrix multiplication */

  q31_t a0, a1, a2, a3, b0, b1, b2, b3;

#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 + 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;

        /* Initiate the pointer pIn1 to point to the starting address of pInA */

        pIn1 = pInA;

        /* Apply loop unrolling and compute 4 MACs simultaneously. */

        colCnt = numColsA >> 2;

        /* 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) */

          /* Perform the multiply-accumulates */

          b0 = *pIn2;

          pIn2 += numColsB;

          a0 = *pIn1++;

          a1 = *pIn1++;

          b1 = *pIn2;

          pIn2 += numColsB;

          b2 = *pIn2;

          pIn2 += numColsB;

          sum += (q63_t) a0 *b0;

          sum += (q63_t) a1 *b1;

          a2 = *pIn1++;

          a3 = *pIn1++;

          b3 = *pIn2;

          pIn2 += numColsB;

          sum += (q63_t) a2 *b2;

          sum += (q63_t) a3 *b3;

          /* Decrement the loop counter */

          colCnt--;

        }

        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples 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) */

          /* Perform the multiply-accumulates */

          sum += (q63_t) * pIn1++ * *pIn2;

          pIn2 += numColsB;

          /* Decrement the loop counter */

          colCnt--;

        }

        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */

        *px++ = (q31_t) (sum >> 31);

        /* 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);

#else

  /* Run the below code for Cortex-M0 */

  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */

  uint16_t col, i = 0U, row = numRowsA, colCnt;  /* loop counters */

  arm_status status;                             /* status of matrix multiplication */

#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 + 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;

      /* column loop */

      do

      {

        /* Set the variable sum, that acts as accumulator, to zero */

        sum = 0;

        /* Initiate the pointer pIn1 to point to the starting address of pInA */

        pIn1 = pInA;

        /* Matrix A columns number of MAC operations are to be performed */

        colCnt = numColsA;

        /* 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) */

          /* Perform the multiply-accumulates */

          sum += (q63_t) * pIn1++ * *pIn2;

          pIn2 += numColsB;

          /* Decrement the loop counter */

          colCnt--;

        }

        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */

        *px++ = (q31_t) clip_q63_to_q31(sum >> 31);

        /* Decrement the column loop counter */

        col--;

        /* Update the pointer pIn2 to point to the  starting address of the next column */

        pIn2 = pInB + (numColsB - col);

      } while (col > 0U);

#endif

      /* 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 */

      row--;

    } while (row > 0U);

    /* set status as ARM_MATH_SUCCESS */

    status = ARM_MATH_SUCCESS;

  }

  /* Return to application */

  return (status);

}

/**

 * @} end of MatrixMult group

 */