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Diffstat (limited to 'DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c')
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1 files changed, 424 insertions, 0 deletions
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c new file mode 100644 index 0000000..8e3fc06 --- /dev/null +++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c @@ -0,0 +1,424 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_cmplx_mat_mult_q15.c +* +* Description: Q15 complex matrix multiplication. +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup CmplxMatrixMult + * @{ + */ + + +/** + * @brief Q15 Complex matrix multiplication + * @param[in] *pSrcA points to the first input complex matrix structure + * @param[in] *pSrcB points to the second input complex matrix structure + * @param[out] *pDst points to output complex matrix structure + * @param[in] *pScratch 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. + * + * \par Conditions for optimum performance + * Input, output and state buffers should be aligned by 32-bit + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch buffers should be aligned by 32-bit + * + * @details + * <b>Scaling and Overflow Behavior:</b> + * + * \par + * The function is implemented using a 64-bit internal accumulator. The inputs to the + * multiplications are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate + * results are accumulated in a 64-bit accumulator in 34.30 format. This approach + * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then + * truncated to 34.15 format by discarding the low 15 bits and then saturated to + * 1.15 format. + * + * \par + * Refer to <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function. + * + */ + + + + +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch) +{ + /* accumulator */ + q15_t *pSrcBT = pScratch; /* 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 */ + uint16_t col, i = 0u, row = numRowsB, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + q63_t sumReal, sumImag; + +#ifdef UNALIGNED_SUPPORT_DISABLE + q15_t in; /* Temporary variable to hold the input value */ + q15_t a, b, c, d; +#else + q31_t in; /* Temporary variable to hold the input value */ + q31_t prod1, prod2; + q31_t pSourceA, pSourceB; +#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 + { + /* 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) + { +#ifdef UNALIGNED_SUPPORT_DISABLE + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* 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 two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; +#else + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* 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 two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; +#endif + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Decrement the column loop counter */ + col--; + } + + i = i + 2u; + + /* 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; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* 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; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal = 0; + sumImag = 0; + + /* Apply loop unrolling and compute 2 MACs simultaneously. */ + colCnt = numColsA >> 1; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pInA = pSrcA->pData + i * 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) */ + +#ifdef UNALIGNED_SUPPORT_DISABLE + + /* read real and imag values from pSrcA buffer */ + a = *pInA; + b = *(pInA + 1u); + /* read real and imag values from pSrcB buffer */ + c = *pInB; + d = *(pInB + 1u); + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + + /* read next real and imag values from pSrcA buffer */ + a = *(pInA + 2u); + b = *(pInA + 3u); + /* read next real and imag values from pSrcB buffer */ + c = *(pInB + 2u); + d = *(pInB + 3u); + + /* update pointer */ + pInA += 4u; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + /* update pointer */ + pInB += 4u; +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + colCnt--; + } + + /* process odd column samples */ + if((numColsA & 0x1u) > 0u) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + +#ifdef UNALIGNED_SUPPORT_DISABLE + + /* read real and imag values from pSrcA and pSrcB buffer */ + a = *pInA++; + b = *pInA++; + c = *pInB++; + d = *pInB++; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ + + } + + /* Saturate and store the result in the destination buffer */ + + *px++ = (q15_t) (__SSAT(sumReal >> 15, 16)); + *px++ = (q15_t) (__SSAT(sumImag >> 15, 16)); + + /* Decrement the column loop counter */ + col--; + + } while(col > 0u); + + i = i + 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 + */ |