| /* blas/blas.c |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001 Gerard Jungman & Brian |
| * Gough |
| * |
| * This program is free software; you can redistribute it and/or modify |
| * it under the terms of the GNU General Public License as published by |
| * the Free Software Foundation; either version 2 of the License, or (at |
| * your option) any later version. |
| * |
| * This program is distributed in the hope that it will be useful, but |
| * WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * General Public License for more details. |
| * |
| * You should have received a copy of the GNU General Public License |
| * along with this program; if not, write to the Free Software |
| * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
| */ |
| |
| /* GSL implementation of BLAS operations for vectors and dense |
| * matrices. Note that GSL native storage is row-major. */ |
| |
| #include <config.h> |
| #include <gsl/gsl_math.h> |
| #include <gsl/gsl_errno.h> |
| #include <gsl/gsl_cblas.h> |
| #include <gsl/gsl_cblas.h> |
| #include <gsl/gsl_blas_types.h> |
| #include <gsl/gsl_blas.h> |
| |
| /* ======================================================================== |
| * Level 1 |
| * ======================================================================== |
| */ |
| |
| /* CBLAS defines vector sizes in terms of int. GSL defines sizes in |
| terms of size_t, so we need to convert these into integers. There |
| is the possibility of overflow here. FIXME: Maybe this could be |
| caught */ |
| |
| #define INT(X) ((int)(X)) |
| |
| int |
| gsl_blas_sdsdot (float alpha, const gsl_vector_float * X, |
| const gsl_vector_float * Y, float *result) |
| { |
| if (X->size == Y->size) |
| { |
| *result = |
| cblas_sdsdot (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_dsdot (const gsl_vector_float * X, const gsl_vector_float * Y, |
| double *result) |
| { |
| if (X->size == Y->size) |
| { |
| *result = |
| cblas_dsdot (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_sdot (const gsl_vector_float * X, const gsl_vector_float * Y, |
| float *result) |
| { |
| if (X->size == Y->size) |
| { |
| *result = |
| cblas_sdot (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_ddot (const gsl_vector * X, const gsl_vector * Y, double *result) |
| { |
| if (X->size == Y->size) |
| { |
| *result = |
| cblas_ddot (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_cdotu (const gsl_vector_complex_float * X, |
| const gsl_vector_complex_float * Y, gsl_complex_float * dotu) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_cdotu_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), GSL_COMPLEX_P (dotu)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_cdotc (const gsl_vector_complex_float * X, |
| const gsl_vector_complex_float * Y, gsl_complex_float * dotc) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_cdotc_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), GSL_COMPLEX_P (dotc)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_zdotu (const gsl_vector_complex * X, const gsl_vector_complex * Y, |
| gsl_complex * dotu) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_zdotu_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), GSL_COMPLEX_P (dotu)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_zdotc (const gsl_vector_complex * X, const gsl_vector_complex * Y, |
| gsl_complex * dotc) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_zdotc_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), GSL_COMPLEX_P (dotc)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| /* Norms of vectors */ |
| |
| float |
| gsl_blas_snrm2 (const gsl_vector_float * X) |
| { |
| return cblas_snrm2 (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| double |
| gsl_blas_dnrm2 (const gsl_vector * X) |
| { |
| return cblas_dnrm2 (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| float |
| gsl_blas_scnrm2 (const gsl_vector_complex_float * X) |
| { |
| return cblas_scnrm2 (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| double |
| gsl_blas_dznrm2 (const gsl_vector_complex * X) |
| { |
| return cblas_dznrm2 (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| /* Absolute sums of vectors */ |
| |
| float |
| gsl_blas_sasum (const gsl_vector_float * X) |
| { |
| return cblas_sasum (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| double |
| gsl_blas_dasum (const gsl_vector * X) |
| { |
| return cblas_dasum (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| float |
| gsl_blas_scasum (const gsl_vector_complex_float * X) |
| { |
| return cblas_scasum (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| double |
| gsl_blas_dzasum (const gsl_vector_complex * X) |
| { |
| return cblas_dzasum (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| /* Maximum elements of vectors */ |
| |
| CBLAS_INDEX_t |
| gsl_blas_isamax (const gsl_vector_float * X) |
| { |
| return cblas_isamax (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| CBLAS_INDEX_t |
| gsl_blas_idamax (const gsl_vector * X) |
| { |
| return cblas_idamax (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| CBLAS_INDEX_t |
| gsl_blas_icamax (const gsl_vector_complex_float * X) |
| { |
| return cblas_icamax (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| CBLAS_INDEX_t |
| gsl_blas_izamax (const gsl_vector_complex * X) |
| { |
| return cblas_izamax (INT (X->size), X->data, INT (X->stride)); |
| } |
| |
| |
| /* Swap vectors */ |
| |
| int |
| gsl_blas_sswap (gsl_vector_float * X, gsl_vector_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_sswap (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_dswap (gsl_vector * X, gsl_vector * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_dswap (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| }; |
| } |
| |
| int |
| gsl_blas_cswap (gsl_vector_complex_float * X, gsl_vector_complex_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_cswap (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_zswap (gsl_vector_complex * X, gsl_vector_complex * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_zswap (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* Copy vectors */ |
| |
| int |
| gsl_blas_scopy (const gsl_vector_float * X, gsl_vector_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_scopy (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_dcopy (const gsl_vector * X, gsl_vector * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_dcopy (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_ccopy (const gsl_vector_complex_float * X, |
| gsl_vector_complex_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_ccopy (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_zcopy (const gsl_vector_complex * X, gsl_vector_complex * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_zcopy (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* Compute Y = alpha X + Y */ |
| |
| int |
| gsl_blas_saxpy (float alpha, const gsl_vector_float * X, gsl_vector_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_saxpy (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_daxpy (double alpha, const gsl_vector * X, gsl_vector * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_daxpy (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_caxpy (const gsl_complex_float alpha, |
| const gsl_vector_complex_float * X, |
| gsl_vector_complex_float * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_caxpy (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride), Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_zaxpy (const gsl_complex alpha, const gsl_vector_complex * X, |
| gsl_vector_complex * Y) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_zaxpy (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride), Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| /* Generate rotation */ |
| |
| int |
| gsl_blas_srotg (float a[], float b[], float c[], float s[]) |
| { |
| cblas_srotg (a, b, c, s); |
| return GSL_SUCCESS; |
| } |
| |
| int |
| gsl_blas_drotg (double a[], double b[], double c[], double s[]) |
| { |
| cblas_drotg (a, b, c, s); |
| return GSL_SUCCESS; |
| } |
| |
| /* Apply rotation to vectors */ |
| |
| int |
| gsl_blas_srot (gsl_vector_float * X, gsl_vector_float * Y, float c, float s) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_srot (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), c, s); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_drot (gsl_vector * X, gsl_vector * Y, const double c, const double s) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_drot (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), c, s); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* Generate modified rotation */ |
| |
| int |
| gsl_blas_srotmg (float d1[], float d2[], float b1[], float b2, float P[]) |
| { |
| cblas_srotmg (d1, d2, b1, b2, P); |
| return GSL_SUCCESS; |
| } |
| |
| int |
| gsl_blas_drotmg (double d1[], double d2[], double b1[], double b2, double P[]) |
| { |
| cblas_drotmg (d1, d2, b1, b2, P); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* Apply modified rotation */ |
| |
| int |
| gsl_blas_srotm (gsl_vector_float * X, gsl_vector_float * Y, const float P[]) |
| { |
| if (X->size == Y->size) |
| { |
| cblas_srotm (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), P); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_drotm (gsl_vector * X, gsl_vector * Y, const double P[]) |
| { |
| if (X->size != Y->size) |
| { |
| cblas_drotm (INT (X->size), X->data, INT (X->stride), Y->data, |
| INT (Y->stride), P); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* Scale vector */ |
| |
| void |
| gsl_blas_sscal (float alpha, gsl_vector_float * X) |
| { |
| cblas_sscal (INT (X->size), alpha, X->data, INT (X->stride)); |
| } |
| |
| void |
| gsl_blas_dscal (double alpha, gsl_vector * X) |
| { |
| cblas_dscal (INT (X->size), alpha, X->data, INT (X->stride)); |
| } |
| |
| void |
| gsl_blas_cscal (const gsl_complex_float alpha, gsl_vector_complex_float * X) |
| { |
| cblas_cscal (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride)); |
| } |
| |
| void |
| gsl_blas_zscal (const gsl_complex alpha, gsl_vector_complex * X) |
| { |
| cblas_zscal (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride)); |
| } |
| |
| void |
| gsl_blas_csscal (float alpha, gsl_vector_complex_float * X) |
| { |
| cblas_csscal (INT (X->size), alpha, X->data, INT (X->stride)); |
| } |
| |
| void |
| gsl_blas_zdscal (double alpha, gsl_vector_complex * X) |
| { |
| cblas_zdscal (INT (X->size), alpha, X->data, INT (X->stride)); |
| } |
| |
| /* =========================================================================== |
| * Level 2 |
| * =========================================================================== |
| */ |
| |
| /* GEMV */ |
| |
| int |
| gsl_blas_sgemv (CBLAS_TRANSPOSE_t TransA, float alpha, |
| const gsl_matrix_float * A, const gsl_vector_float * X, |
| float beta, gsl_vector_float * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
| || (TransA == CblasTrans && M == X->size && N == Y->size)) |
| { |
| cblas_sgemv (CblasRowMajor, TransA, INT (M), INT (N), alpha, A->data, |
| INT (A->tda), X->data, INT (X->stride), beta, Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_dgemv (CBLAS_TRANSPOSE_t TransA, double alpha, const gsl_matrix * A, |
| const gsl_vector * X, double beta, gsl_vector * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
| || (TransA == CblasTrans && M == X->size && N == Y->size)) |
| { |
| cblas_dgemv (CblasRowMajor, TransA, INT (M), INT (N), alpha, A->data, |
| INT (A->tda), X->data, INT (X->stride), beta, Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_cgemv (CBLAS_TRANSPOSE_t TransA, const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_vector_complex_float * X, |
| const gsl_complex_float beta, gsl_vector_complex_float * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
| || (TransA == CblasTrans && M == X->size && N == Y->size) |
| || (TransA == CblasConjTrans && M == X->size && N == Y->size)) |
| { |
| cblas_cgemv (CblasRowMajor, TransA, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), X->data, |
| INT (X->stride), GSL_COMPLEX_P (&beta), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_zgemv (CBLAS_TRANSPOSE_t TransA, const gsl_complex alpha, |
| const gsl_matrix_complex * A, const gsl_vector_complex * X, |
| const gsl_complex beta, gsl_vector_complex * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
| || (TransA == CblasTrans && M == X->size && N == Y->size) |
| || (TransA == CblasConjTrans && M == X->size && N == Y->size)) |
| { |
| cblas_zgemv (CblasRowMajor, TransA, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), X->data, |
| INT (X->stride), GSL_COMPLEX_P (&beta), Y->data, |
| INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| |
| /* HEMV */ |
| |
| int |
| gsl_blas_chemv (CBLAS_UPLO_t Uplo, const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_vector_complex_float * X, |
| const gsl_complex_float beta, gsl_vector_complex_float * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size || N != Y->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_chemv (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), A->data, |
| INT (A->tda), X->data, INT (X->stride), GSL_COMPLEX_P (&beta), |
| Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| int |
| gsl_blas_zhemv (CBLAS_UPLO_t Uplo, const gsl_complex alpha, |
| const gsl_matrix_complex * A, const gsl_vector_complex * X, |
| const gsl_complex beta, gsl_vector_complex * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size || N != Y->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zhemv (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), A->data, |
| INT (A->tda), X->data, INT (X->stride), GSL_COMPLEX_P (&beta), |
| Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* SYMV */ |
| |
| int |
| gsl_blas_ssymv (CBLAS_UPLO_t Uplo, float alpha, const gsl_matrix_float * A, |
| const gsl_vector_float * X, float beta, gsl_vector_float * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size || N != Y->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ssymv (CblasRowMajor, Uplo, INT (N), alpha, A->data, INT (A->tda), |
| X->data, INT (X->stride), beta, Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| int |
| gsl_blas_dsymv (CBLAS_UPLO_t Uplo, double alpha, const gsl_matrix * A, |
| const gsl_vector * X, double beta, gsl_vector * Y) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size || N != Y->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dsymv (CblasRowMajor, Uplo, INT (N), alpha, A->data, INT (A->tda), |
| X->data, INT (X->stride), beta, Y->data, INT (Y->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* TRMV */ |
| |
| int |
| gsl_blas_strmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_float * A, |
| gsl_vector_float * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_strmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dtrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix * A, gsl_vector * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dtrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_ctrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_complex_float * A, |
| gsl_vector_complex_float * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ctrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_ztrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_complex * A, |
| gsl_vector_complex * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ztrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* TRSV */ |
| |
| int |
| gsl_blas_strsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_float * A, |
| gsl_vector_float * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_strsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dtrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix * A, gsl_vector * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dtrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_ctrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_complex_float * A, |
| gsl_vector_complex_float * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ctrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_ztrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
| CBLAS_DIAG_t Diag, const gsl_matrix_complex * A, |
| gsl_vector_complex * X) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (N != X->size) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ztrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
| INT (A->tda), X->data, INT (X->stride)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* GER */ |
| |
| int |
| gsl_blas_sger (float alpha, const gsl_vector_float * X, |
| const gsl_vector_float * Y, gsl_matrix_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_sger (CblasRowMajor, INT (M), INT (N), alpha, X->data, |
| INT (X->stride), Y->data, INT (Y->stride), A->data, |
| INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_dger (double alpha, const gsl_vector * X, const gsl_vector * Y, |
| gsl_matrix * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_dger (CblasRowMajor, INT (M), INT (N), alpha, X->data, |
| INT (X->stride), Y->data, INT (Y->stride), A->data, |
| INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* GERU */ |
| |
| int |
| gsl_blas_cgeru (const gsl_complex_float alpha, |
| const gsl_vector_complex_float * X, |
| const gsl_vector_complex_float * Y, |
| gsl_matrix_complex_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_cgeru (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
| X->data, INT (X->stride), Y->data, INT (Y->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_zgeru (const gsl_complex alpha, const gsl_vector_complex * X, |
| const gsl_vector_complex * Y, gsl_matrix_complex * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_zgeru (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
| X->data, INT (X->stride), Y->data, INT (Y->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* GERC */ |
| |
| int |
| gsl_blas_cgerc (const gsl_complex_float alpha, |
| const gsl_vector_complex_float * X, |
| const gsl_vector_complex_float * Y, |
| gsl_matrix_complex_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_cgerc (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
| X->data, INT (X->stride), Y->data, INT (Y->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_zgerc (const gsl_complex alpha, const gsl_vector_complex * X, |
| const gsl_vector_complex * Y, gsl_matrix_complex * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (X->size == M && Y->size == N) |
| { |
| cblas_zgerc (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
| X->data, INT (X->stride), Y->data, INT (Y->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| /* HER */ |
| |
| int |
| gsl_blas_cher (CBLAS_UPLO_t Uplo, float alpha, |
| const gsl_vector_complex_float * X, |
| gsl_matrix_complex_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_cher (CblasRowMajor, Uplo, INT (M), alpha, X->data, INT (X->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_zher (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector_complex * X, |
| gsl_matrix_complex * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zher (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* HER2 */ |
| |
| int |
| gsl_blas_cher2 (CBLAS_UPLO_t Uplo, const gsl_complex_float alpha, |
| const gsl_vector_complex_float * X, |
| const gsl_vector_complex_float * Y, |
| gsl_matrix_complex_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N || Y->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_cher2 (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride), Y->data, INT (Y->stride), A->data, |
| INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_zher2 (CBLAS_UPLO_t Uplo, const gsl_complex alpha, |
| const gsl_vector_complex * X, const gsl_vector_complex * Y, |
| gsl_matrix_complex * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N || Y->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zher2 (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), X->data, |
| INT (X->stride), Y->data, INT (Y->stride), A->data, |
| INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* SYR */ |
| |
| int |
| gsl_blas_ssyr (CBLAS_UPLO_t Uplo, float alpha, const gsl_vector_float * X, |
| gsl_matrix_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ssyr (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dsyr (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector * X, |
| gsl_matrix * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dsyr (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
| A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* SYR2 */ |
| |
| int |
| gsl_blas_ssyr2 (CBLAS_UPLO_t Uplo, float alpha, const gsl_vector_float * X, |
| const gsl_vector_float * Y, gsl_matrix_float * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N || Y->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ssyr2 (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
| Y->data, INT (Y->stride), A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dsyr2 (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector * X, |
| const gsl_vector * Y, gsl_matrix * A) |
| { |
| const size_t M = A->size1; |
| const size_t N = A->size2; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
| } |
| else if (X->size != N || Y->size != N) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dsyr2 (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
| Y->data, INT (Y->stride), A->data, INT (A->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| /* |
| * =========================================================================== |
| * Prototypes for level 3 BLAS |
| * =========================================================================== |
| */ |
| |
| |
| /* GEMM */ |
| |
| int |
| gsl_blas_sgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
| float alpha, const gsl_matrix_float * A, |
| const gsl_matrix_float * B, float beta, gsl_matrix_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
| { |
| cblas_sgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda), beta, |
| C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_dgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
| double alpha, const gsl_matrix * A, const gsl_matrix * B, |
| double beta, gsl_matrix * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
| { |
| cblas_dgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda), beta, |
| C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_cgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_matrix_complex_float * B, |
| const gsl_complex_float beta, gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
| { |
| cblas_cgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_zgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_matrix_complex * B, const gsl_complex beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
| { |
| cblas_zgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* SYMM */ |
| |
| int |
| gsl_blas_ssymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, float alpha, |
| const gsl_matrix_float * A, const gsl_matrix_float * B, |
| float beta, gsl_matrix_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_ssymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), alpha, |
| A->data, INT (A->tda), B->data, INT (B->tda), beta, |
| C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| } |
| |
| |
| int |
| gsl_blas_dsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, double alpha, |
| const gsl_matrix * A, const gsl_matrix * B, double beta, |
| gsl_matrix * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_dsymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), alpha, |
| A->data, INT (A->tda), B->data, INT (B->tda), beta, |
| C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_csymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_matrix_complex_float * B, |
| const gsl_complex_float beta, gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_csymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| int |
| gsl_blas_zsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_matrix_complex * B, const gsl_complex beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_zsymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* HEMM */ |
| |
| int |
| gsl_blas_chemm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_matrix_complex_float * B, |
| const gsl_complex_float beta, gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_chemm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| } |
| |
| |
| int |
| gsl_blas_zhemm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_matrix_complex * B, const gsl_complex beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| const size_t MB = B->size1; |
| const size_t NB = B->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
| || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
| { |
| cblas_zhemm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| /* SYRK */ |
| |
| int |
| gsl_blas_ssyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
| const gsl_matrix_float * A, float beta, gsl_matrix_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ssyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
| INT (A->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
| const gsl_matrix * A, double beta, gsl_matrix * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dsyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
| INT (A->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| |
| } |
| |
| |
| int |
| gsl_blas_csyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_complex_float beta, gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_csyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), |
| GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_zsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_complex beta, gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zsyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), |
| GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| /* HERK */ |
| |
| int |
| gsl_blas_cherk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
| const gsl_matrix_complex_float * A, float beta, |
| gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_cherk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
| INT (A->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_zherk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
| const gsl_matrix_complex * A, double beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != J) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zherk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
| INT (A->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| /* SYR2K */ |
| |
| int |
| gsl_blas_ssyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
| const gsl_matrix_float * A, const gsl_matrix_float * B, |
| float beta, gsl_matrix_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_ssyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), alpha, A->data, |
| INT (A->tda), B->data, INT (B->tda), beta, C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_dsyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
| const gsl_matrix * A, const gsl_matrix * B, double beta, |
| gsl_matrix * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_dsyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), alpha, A->data, |
| INT (A->tda), B->data, INT (B->tda), beta, C->data, |
| INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| int |
| gsl_blas_csyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_matrix_complex_float * B, |
| const gsl_complex_float beta, gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_csyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| |
| |
| int |
| gsl_blas_zsyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_matrix_complex * B, const gsl_complex beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zsyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| } |
| |
| /* HER2K */ |
| |
| int |
| gsl_blas_cher2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| const gsl_matrix_complex_float * B, float beta, |
| gsl_matrix_complex_float * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_cher2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| |
| } |
| |
| |
| int |
| gsl_blas_zher2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| const gsl_matrix_complex * B, double beta, |
| gsl_matrix_complex * C) |
| { |
| const size_t M = C->size1; |
| const size_t N = C->size2; |
| const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
| const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
| const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
| const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
| |
| if (M != N) |
| { |
| GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
| } |
| else if (N != MA || N != MB || NA != NB) |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| |
| cblas_zher2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda), beta, C->data, INT (C->tda)); |
| return GSL_SUCCESS; |
| |
| } |
| |
| /* TRMM */ |
| |
| int |
| gsl_blas_strmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, float alpha, |
| const gsl_matrix_float * A, gsl_matrix_float * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_strmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_dtrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, double alpha, |
| const gsl_matrix * A, gsl_matrix * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_dtrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_ctrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| gsl_matrix_complex_float * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_ctrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_ztrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| gsl_matrix_complex * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_ztrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| /* TRSM */ |
| |
| int |
| gsl_blas_strsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, float alpha, |
| const gsl_matrix_float * A, gsl_matrix_float * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_strsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_dtrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, double alpha, |
| const gsl_matrix * A, gsl_matrix * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_dtrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_ctrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
| const gsl_complex_float alpha, |
| const gsl_matrix_complex_float * A, |
| gsl_matrix_complex_float * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_ctrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |
| |
| |
| int |
| gsl_blas_ztrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
| CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
| const gsl_complex alpha, const gsl_matrix_complex * A, |
| gsl_matrix_complex * B) |
| { |
| const size_t M = B->size1; |
| const size_t N = B->size2; |
| const size_t MA = A->size1; |
| const size_t NA = A->size2; |
| |
| if (MA != NA) |
| { |
| GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
| } |
| |
| if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
| { |
| cblas_ztrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
| GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
| INT (B->tda)); |
| return GSL_SUCCESS; |
| } |
| else |
| { |
| GSL_ERROR ("invalid length", GSL_EBADLEN); |
| } |
| } |