gsl_blas.h

该文件为c++的数学函数库!是一个非常有用的编程工具.它含有各种数学函数,为科学计算、工程应用等程序编写提供方便！

/* 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 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., 675 Mass Ave, Cambridge, MA 02139, 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);