kopia lustrzana https://github.com/Dsplib/libdspl-2.0
173 wiersze
5.5 KiB
C
173 wiersze
5.5 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 Eigenvalues calculation of the complex square matrix `a`.
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Function calculates `n` eigenvalues of the matrix `a` size `n x n`.
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\param[in] a
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Pointer to the complex matrix `a` size `n x n`. \n
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Matrix is stored in the memory as column-major array. \n\n
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\param[in] n
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Size of matrix `n x n`.\n\n
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\param[out] v
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Pointer to the eigenvalues vector. \n
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Vector size is `]n x 1]`. \n
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Memory must be allocated. \n\n
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\param[out] info
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Pointer to the `zgees` LAPACK subroutine output parameter. \n
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If an error occurs while calculating the vector of eigenvalues,
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the LAPACK subroutine returns an error code that can be read
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from this pointer. \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 "code error". \n
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If an `ERROR_LAPACK` error occurs, the LAPACK package
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error code will be written to the `info` address. \n
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Eigenvalues calculation example:
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\include matrix_eig.c
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This program calculates eigenvalues of the matrix size `3 x 3`
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and print its to display.\n
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Result:
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\verbatim
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A = [ % size [3 x 3] type: complex
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1.00 +0.00i, 2.00 +0.00i, 3.00 +0.00i;
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1.00 +0.00i, 0.00 +0.00i, 0.00 +0.00i;
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0.00 +0.00i, 1.00 +0.00i, 0.00 +0.00i;];
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v = [ % size [3 x 1] type: complex
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2.374424 -0.000000i;
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-0.687212 +0.889497i;
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-0.687212 -0.889497i;];
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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 Расчет собственных значений квадратной комплексной матрицы.
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Данная функция производит расчет `n` собственных значений квадратной матрицы
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размером `n x n`.
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\param[in] a
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Указатель на комплексную матрицу размерности `n x n`. \n
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Матрица должна быть расположена в памяти по столбцам. \n\n
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\param[in] n
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Размерность квадратной матрицы.\n
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\param[out] v
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Указатель на вектор собственных значений матрицы. \n
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Размер вектора `n x 1`. \n
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Память должна быть выделена. \n\n
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\param[out] info
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Указатель на код возврата функции `zgees` пакета LAPACK. \n
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В случае возникновения ошибки при расчете вектора собственных значений,
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пакет LAPACK возвращает код ошибки, который может быть прочитан по данному
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указателю. \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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При возникновении ошибки `ERROR_LAPACK` по адресу
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`info` будет записан код ошибки пакета LAPACK. \n
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Пример расчета собственных значений матрицы:
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\include matrix_eig.c
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Данная программа рассчитывает собственные значения матрицы размерности `3 x 3`
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и выводит собственные значения на печать. \n
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Результат работы программы:
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\verbatim
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A = [ % size [3 x 3] type: complex
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1.00 +0.00i, 2.00 +0.00i, 3.00 +0.00i;
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1.00 +0.00i, 0.00 +0.00i, 0.00 +0.00i;
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0.00 +0.00i, 1.00 +0.00i, 0.00 +0.00i;];
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v = [ % size [3 x 1] type: complex
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2.374424 -0.000000i;
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-0.687212 +0.889497i;
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-0.687212 -0.889497i;];
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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_eig_cmplx(complex_t* a, int n, complex_t* v, int* info)
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{
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int err;
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int sdim = 0;
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int ldvs = 1;
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int lwork = 2*n;
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if(!a || !v)
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return ERROR_PTR;
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if(n<1)
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return ERROR_MATRIX_SIZE;
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complex_t *work=(complex_t*)malloc(lwork*sizeof(complex_t));
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double *rwork = (double*)malloc(n*sizeof(double));
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zgees_("N", "N", NULL, &n, a, &n, &sdim, v, NULL, &ldvs, work, &lwork,
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rwork, NULL, &err);
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if(err!=0)
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{
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if(info)
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*info = err;
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err = ERROR_LAPACK;
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}
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else
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err = RES_OK;
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free(work);
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free(rwork);
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return err;
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}
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