/* blas/blas.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2009 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 3 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);
}
}