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Diffstat (limited to 'gsl-1.9/blas/blas.c')
| -rw-r--r-- | gsl-1.9/blas/blas.c | 2190 |
1 files changed, 2190 insertions, 0 deletions
diff --git a/gsl-1.9/blas/blas.c b/gsl-1.9/blas/blas.c new file mode 100644 index 0000000..56ca963 --- /dev/null +++ b/gsl-1.9/blas/blas.c @@ -0,0 +1,2190 @@ +/* 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); + } +} |