gsl_cblas.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_cblas.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.
 */

/* This is a copy of the CBLAS standard header.
 * We carry this around so we do not have to
 * break our model for flexible BLAS functionality.
 */

#ifndef __GSL_CBLAS_H__
#define __GSL_CBLAS_H__
#include <stddef.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

/*
 * Enumerated and derived types
 */
#define CBLAS_INDEX size_t  /* this may vary between platforms */

enum CBLAS_ORDER {CblasRowMajor=101, CblasColMajor=102};
enum CBLAS_TRANSPOSE {CblasNoTrans=111, CblasTrans=112, CblasConjTrans=113};
enum CBLAS_UPLO {CblasUpper=121, CblasLower=122};
enum CBLAS_DIAG {CblasNonUnit=131, CblasUnit=132};
enum CBLAS_SIDE {CblasLeft=141, CblasRight=142};

/*
 * ===========================================================================
 * Prototypes for level 1 BLAS functions (complex are recast as routines)
 * ===========================================================================
 */
float  cblas_sdsdot(const int N, const float alpha, const float *X,
                    const int incX, const float *Y, const int incY);
double cblas_dsdot(const int N, const float *X, const int incX, const float *Y,
                   const int incY);
float  cblas_sdot(const int N, const float  *X, const int incX,
                  const float  *Y, const int incY);
double cblas_ddot(const int N, const double *X, const int incX,
                  const double *Y, const int incY);

/*
 * Functions having prefixes Z and C only
 */
void   cblas_cdotu_sub(const int N, const void *X, const int incX,
                       const void *Y, const int incY, void *dotu);
void   cblas_cdotc_sub(const int N, const void *X, const int incX,
                       const void *Y, const int incY, void *dotc);

void   cblas_zdotu_sub(const int N, const void *X, const int incX,
                       const void *Y, const int incY, void *dotu);
void   cblas_zdotc_sub(const int N, const void *X, const int incX,
                       const void *Y, const int incY, void *dotc);


/*
 * Functions having prefixes S D SC DZ
 */
float  cblas_snrm2(const int N, const float *X, const int incX);
float  cblas_sasum(const int N, const float *X, const int incX);

double cblas_dnrm2(const int N, const double *X, const int incX);
double cblas_dasum(const int N, const double *X, const int incX);

float  cblas_scnrm2(const int N, const void *X, const int incX);
float  cblas_scasum(const int N, const void *X, const int incX);

double cblas_dznrm2(const int N, const void *X, const int incX);
double cblas_dzasum(const int N, const void *X, const int incX);


/*
 * Functions having standard 4 prefixes (S D C Z)
 */
CBLAS_INDEX cblas_isamax(const int N, const float  *X, const int incX);
CBLAS_INDEX cblas_idamax(const int N, const double *X, const int incX);
CBLAS_INDEX cblas_icamax(const int N, const void   *X, const int incX);
CBLAS_INDEX cblas_izamax(const int N, const void   *X, const int incX);

/*
 * ===========================================================================
 * Prototypes for level 1 BLAS routines
 * ===========================================================================
 */

/* 
 * Routines with standard 4 prefixes (s, d, c, z)
 */
void cblas_sswap(const int N, float *X, const int incX, 
                 float *Y, const int incY);
void cblas_scopy(const int N, const float *X, const int incX, 
                 float *Y, const int incY);
void cblas_saxpy(const int N, const float alpha, const float *X,
                 const int incX, float *Y, const int incY);

void cblas_dswap(const int N, double *X, const int incX, 
                 double *Y, const int incY);
void cblas_dcopy(const int N, const double *X, const int incX, 
                 double *Y, const int incY);
void cblas_daxpy(const int N, const double alpha, const double *X,
                 const int incX, double *Y, const int incY);

void cblas_cswap(const int N, void *X, const int incX, 
                 void *Y, const int incY);
void cblas_ccopy(const int N, const void *X, const int incX, 
                 void *Y, const int incY);
void cblas_caxpy(const int N, const void *alpha, const void *X,
                 const int incX, void *Y, const int incY);

void cblas_zswap(const int N, void *X, const int incX, 
                 void *Y, const int incY);
void cblas_zcopy(const int N, const void *X, const int incX, 
                 void *Y, const int incY);
void cblas_zaxpy(const int N, const void *alpha, const void *X,
                 const int incX, void *Y, const int incY);


/* 
 * Routines with S and D prefix only
 */
void cblas_srotg(float *a, float *b, float *c, float *s);
void cblas_srotmg(float *d1, float *d2, float *b1, const float b2, float *P);
void cblas_srot(const int N, float *X, const int incX,
                float *Y, const int incY, const float c, const float s);
void cblas_srotm(const int N, float *X, const int incX,
                float *Y, const int incY, const float *P);

void cblas_drotg(double *a, double *b, double *c, double *s);
void cblas_drotmg(double *d1, double *d2, double *b1, const double b2, double *P);
void cblas_drot(const int N, double *X, const int incX,
                double *Y, const int incY, const double c, const double  s);
void cblas_drotm(const int N, double *X, const int incX,
                double *Y, const int incY, const double *P);


/* 
 * Routines with S D C Z CS and ZD prefixes
 */
void cblas_sscal(const int N, const float alpha, float *X, const int incX);
void cblas_dscal(const int N, const double alpha, double *X, const int incX);
void cblas_cscal(const int N, const void *alpha, void *X, const int incX);
void cblas_zscal(const int N, const void *alpha, void *X, const int incX);
void cblas_csscal(const int N, const float alpha, void *X, const int incX);
void cblas_zdscal(const int N, const double alpha, void *X, const int incX);

/*
 * ===========================================================================
 * Prototypes for level 2 BLAS
 * ===========================================================================
 */

/* 
 * Routines with standard 4 prefixes (S, D, C, Z)
 */
void cblas_sgemv(const enum CBLAS_ORDER order,
                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,
                 const float alpha, const float *A, const int lda,
                 const float *X, const int incX, const float beta,
                 float *Y, const int incY);
void cblas_sgbmv(const enum CBLAS_ORDER order,
                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,
                 const int KL, const int KU, const float alpha,
                 const float *A, const int lda, const float *X,
                 const int incX, const float beta, float *Y, const int incY);
void cblas_strmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,
                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,
                 const int N, const float *A, const int lda, 
                 float *X, const int incX);
void cblas_stbmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,
                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,
                 const int N, const int K, const float *A, const int lda, 
                 float *X, const int incX);
void cblas_stpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,
                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,
                 const int N, const float *Ap, float *X, const int incX);
void cblas_strsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,
                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,
                 const int N, const float *A, const int lda, float *X,
                 const int incX);