kopia lustrzana https://github.com/Dsplib/libdspl-2.0
208 wiersze
6.5 KiB
C
208 wiersze
6.5 KiB
C
/*
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* Copyright (c) 2015-2024 Sergey Bakhurin
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* Digital Signal Processing Library [http://dsplib.org]
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*
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* This file is part of libdspl-2.0.
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*
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* is free software: you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* DSPL is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Foobar. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <float.h>
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#include "dspl.h"
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#include "blas.h"
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#ifdef DOXYGEN_ENGLISH
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/*! ****************************************************************************
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\ingroup SPEC_MATH_LINALG_GROUP
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\brief Matrix multiplication.
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The function calculates the product of matrices \f$\mathbf{C} = \mathbf{AB}\f$,
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here \f$\mathbf{A}\f$ -- matrix contains \f$N_A\f$ rows and
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\f$M_A\f$ columns, \f$\mathbf{B}\f$ -- matrix contains \f$N_B\f$ rows and
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\f$M_B\f$ columns, product matrix \f$\mathbf{C} = \mathbf{AB}\f$
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contains\f$N_A\f$ rows and \f$M_B\f$ columns.
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\note
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Matrix multiplication requires the equality \f$M_A = N_B\f$. \n
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Function uses BLAS subroutine `dgemm`.
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\param[in] a
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Pointer to the input matrix \f$\mathbf{A}\f$ size `na x ma`. \n
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Matrix must be located in memory as column-major array. \n \n
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\param[in] na
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Matrix `a` rows number. \n\n
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\param[in] ma
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Matrix `a` columns number. \n\n
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\param[in] b
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Pointer to the input matrix \f$\mathbf{B}\f$ size `nb x mb`. \n
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Matrix must be located in memory as column-major array. \n \n
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\param[in] nb
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Matrix `b` rows number. \n
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Necessary equality `ma = nb`. \n\n
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\param[in] mb
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Matrix `a` columns number. \n\n
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\param[out] c
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Pointer to the output matrix \f$\mathbf{С} = \mathbf{AB}\f$.\n
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Matrix size is `na x mb`. \n
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Memory must be allocated. \n\n
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\return
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`RES_OK` --- function is calculated successfully. \n
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Else \ref ERROR_CODE_GROUP "error code". \n
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Example:
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\include matrix_mul.c
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The program forms and multiplies two matrices.
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The original matrices and their product are printed.
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The result of the program:
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\verbatim
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A = [ % size [4 x 5] type: real
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0.00, 4.00, 8.00, 12.00, 16.00;
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1.00, 5.00, 9.00, 13.00, 17.00;
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2.00, 6.00, 10.00, 14.00, 18.00;
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3.00, 7.00, 11.00, 15.00, 19.00;];
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B = [ % size [5 x 3] type: real
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0.00, 5.00, 10.00;
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1.00, 6.00, 11.00;
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2.00, 7.00, 12.00;
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3.00, 8.00, 13.00;
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4.00, 9.00, 14.00;];
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C = [ % size [4 x 3] type: real
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120.00, 320.00, 520.00;
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130.00, 355.00, 580.00;
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140.00, 390.00, 640.00;
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150.00, 425.00, 700.00;];
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\endverbatim
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\author Sergey Bakhurin www.dsplib.org
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***************************************************************************** */
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#endif
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#ifdef DOXYGEN_RUSSIAN
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/*! ****************************************************************************
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\ingroup SPEC_MATH_LINALG_GROUP
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\brief Произведение вещественных матриц.
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Функция рассчитывает произведение матриц \f$\mathbf{C} = \mathbf{AB}\f$,
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где \f$\mathbf{A}\f$ -- матрица размерности \f$N_A\f$ строк и
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\f$M_A\f$ столбцов, матрица размерности \f$N_B\f$ строк и
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\f$M_B\f$ столбцов, а результирующая матрица \f$\mathbf{C} = \mathbf{AB}\f$
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имеет размерность \f$N_A\f$ строк и
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\f$M_B\f$ столбцов.
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\note
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Для умножения матриц необходимо выполнение равенства \f$M_A = N_B\f$. \n
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Функция использует подпрограмму `dgemm` пакета BLAS.
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\param[in] a
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Указатель на матрицу \f$\mathbf{A}\f$ размерности `na x ma`. \n
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Матрица должна быть расположена в памяти по столбцам. \n \n
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\param[in] na
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Количество строк матрицы `a`. \n\n
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\param[in] ma
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Количество столбцов матрицы `a`. \n\n
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\param[in] b
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Указатель на матрицу \f$\mathbf{B}\f$ размерности `nb x mb`. \n
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Матрица должна быть расположена в памяти по столбцам. \n \n
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\param[in] nb
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Количество строк матрицы `b`. \n
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Необходимо выполнение равенства `ma = nb`. \n\n
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\param[in] mb
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Количество столбцов матрицы `b`. \n\n
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\param[out] c
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Указатель на матрицу \f$\mathbf{С} = \mathbf{AB}\f$.\n
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Размер матрицы `na x mb`. \n
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Память должна быть выделена. \n\n
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\return
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`RES_OK` --- функция выполнена успешно. \n
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В противном случае \ref ERROR_CODE_GROUP "код ошибки". \n
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Пример умножения матриц:
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\include matrix_mul.c
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Программа формирует и умножает две матрицы.
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Исходные матрицы и их произведение выводится на печать.
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Результат работы программы:
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\verbatim
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A = [ % size [4 x 5] type: real
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0.00, 4.00, 8.00, 12.00, 16.00;
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1.00, 5.00, 9.00, 13.00, 17.00;
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2.00, 6.00, 10.00, 14.00, 18.00;
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3.00, 7.00, 11.00, 15.00, 19.00;];
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B = [ % size [5 x 3] type: real
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0.00, 5.00, 10.00;
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1.00, 6.00, 11.00;
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2.00, 7.00, 12.00;
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3.00, 8.00, 13.00;
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4.00, 9.00, 14.00;];
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C = [ % size [4 x 3] type: real
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120.00, 320.00, 520.00;
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130.00, 355.00, 580.00;
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140.00, 390.00, 640.00;
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150.00, 425.00, 700.00;];
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\endverbatim
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\author Бахурин Сергей www.dsplib.org
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***************************************************************************** */
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#endif
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int DSPL_API matrix_mul(double* a, int na, int ma,
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double* b, int nb, int mb,
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double* c)
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{
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double alpha = 1;
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double beta = 0.0;
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if(!a || !b || !c)
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return ERROR_PTR;
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if(na < 1 || ma < 1 || nb < 1 || mb < 1 || ma != nb)
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return ERROR_MATRIX_SIZE;
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/* BLAS DGEMM */
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dgemm_("N", "N", &na, &mb, &ma, &alpha, a, &na, b, &nb, &beta, c, &na);
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return RES_OK;
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}
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