/* blas/gsl_blas.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* 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.
*/
/*
* Author: G. Jungman
*/
#ifndef __GSL_BLAS_H__
#define __GSL_BLAS_H__
#include <gsl/gsl_vector.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_blas_types.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* ========================================================================
* Level 1
* ========================================================================
*/
int gsl_blas_sdsdot (float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
float * result
);
int gsl_blas_dsdot (const gsl_vector_float * X,
const gsl_vector_float * Y,
double * result
);
int gsl_blas_sdot (const gsl_vector_float * X,
const gsl_vector_float * Y,
float * result
);
int gsl_blas_ddot (const gsl_vector * X,
const gsl_vector * Y,
double * result
);
int gsl_blas_cdotu (const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_complex_float * dotu);
int gsl_blas_cdotc (const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_complex_float * dotc);
int gsl_blas_zdotu (const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_complex * dotu);
int gsl_blas_zdotc (const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_complex * dotc);
float gsl_blas_snrm2 (const gsl_vector_float * X);
float gsl_blas_sasum (const gsl_vector_float * X);
double gsl_blas_dnrm2 (const gsl_vector * X);
double gsl_blas_dasum (const gsl_vector * X);
float gsl_blas_scnrm2 (const gsl_vector_complex_float * X);
float gsl_blas_scasum (const gsl_vector_complex_float * X);
double gsl_blas_dznrm2 (const gsl_vector_complex * X);
double gsl_blas_dzasum (const gsl_vector_complex * X);
CBLAS_INDEX_t gsl_blas_isamax (const gsl_vector_float * X);
CBLAS_INDEX_t gsl_blas_idamax (const gsl_vector * X);
CBLAS_INDEX_t gsl_blas_icamax (const gsl_vector_complex_float * X);
CBLAS_INDEX_t gsl_blas_izamax (const gsl_vector_complex * X);
int gsl_blas_sswap (gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_scopy (const gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_saxpy (float alpha,
const gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_dswap (gsl_vector * X,
gsl_vector * Y);
int gsl_blas_dcopy (const gsl_vector * X,
gsl_vector * Y);
int gsl_blas_daxpy (double alpha,
const gsl_vector * X,
gsl_vector * Y);
int gsl_blas_cswap (gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_ccopy (const gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_caxpy (const gsl_complex_float alpha,
const gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_zswap (gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_zcopy (const gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_zaxpy (const gsl_complex alpha,
const gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_srotg (float a[], float b[], float c[], float s[]);
int gsl_blas_srotmg (float d1[], float d2[], float b1[], float b2, float P[]);
int gsl_blas_srot (gsl_vector_float * X,
gsl_vector_float * Y,
float c, float s);
int gsl_blas_srotm (gsl_vector_float * X,
gsl_vector_float * Y,
const float P[]);
int gsl_blas_drotg (double a[], double b[], double c[], double s[]);
int gsl_blas_drotmg (double d1[], double d2[], double b1[],
double b2, double P[]);
int gsl_blas_drot (gsl_vector * X,
gsl_vector * Y,
const double c, const double s);
int gsl_blas_drotm (gsl_vector * X,
gsl_vector * Y,
const double P[]);
void gsl_blas_sscal (float alpha, gsl_vector_float * X);
void gsl_blas_dscal (double alpha, gsl_vector * X);
void gsl_blas_cscal (const gsl_complex_float alpha, gsl_vector_complex_float * X);
void gsl_blas_zscal (const gsl_complex alpha, gsl_vector_complex * X);
void gsl_blas_csscal (float alpha, gsl_vector_complex_float * X);
void gsl_blas_zdscal (double alpha, gsl_vector_complex * X);
/* ===========================================================================
* Level 2
* ===========================================================================
*/
/*
* Routines with standard 4 prefixes (S, D, C, Z)
*/
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);
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);
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);
int gsl_blas_dgemv (CBLAS_TRANSPOSE_t TransA,
double alpha,
const gsl_matrix * A,
const gsl_vector * X,
double beta,
gsl_vector * Y);
int gsl_blas_dtrmv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix * A,
gsl_vector * X);
int gsl_blas_dtrsv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix * A,
gsl_vector * X);
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);
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);
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);
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);
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);
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);
/*
* Routines with S and D prefixes only
*/
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);
int gsl_blas_sger (float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
gsl_matrix_float * A);
int gsl_blas_ssyr (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_float * X,
gsl_matrix_float * A);
int gsl_blas_ssyr2 (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
gsl_matrix_float * A);
int gsl_blas_dsymv (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_matrix * A,
const gsl_vector * X,
double beta,
gsl_vector * Y);
int gsl_blas_dger (double alpha,
const gsl_vector * X,
const gsl_vector * Y,
gsl_matrix * A);
int gsl_blas_dsyr (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector * X,
gsl_matrix * A);
int gsl_blas_dsyr2 (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector * X,
const gsl_vector * Y,
gsl_matrix * A);
/*
* Routines with C and Z prefixes only
*/
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);
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);
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);
int gsl_blas_cher (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_complex_float * X,
gsl_matrix_complex_float * A);
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);
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);
int gsl_blas_zgeru (const gsl_complex alpha,
const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_matrix_complex * A);
int gsl_blas_zgerc (const gsl_complex alpha,
const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_matrix_complex * A);
int gsl_blas_zher (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector_complex * X,
gsl_matrix_complex * A);
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);
/*
* ===========================================================================
* Prototypes for level 3 BLAS
* ===========================================================================
*/
/*
* Routines with standard 4 prefixes (S, D, C, Z)
*/
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);
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);
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);
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);
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);
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);
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);
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);
int gsl_blas_dsyrk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
double alpha,
const gsl_matrix * A,
double beta,
gsl_matrix * C);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
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);
/*
* Routines with prefixes C and Z only
*/
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);
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);
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);
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);
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);
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);
__END_DECLS
#endif /* __GSL_BLAS_H__ */