/ani/mrses

/* --------------------------------------------------------------- */

/* Copyright LAPACK Users' Guide, Third Edition.                   */

/* AUTHORS = Anderson, E. and Bai, Z. and Bischof, C. and          */

/*           Blackford, S. and Demmel, J. and Dongarra, J. and     */

/*           Du Croz, J. and Greenbaum, A. and Hammarling, S. and  */

/*           McKenney, A. and Sorensen, D.                         */

/* PUBLISHER = Society for Industrial and Applied Mathematics      */

/* YEAR = 1999                                                     */

/* ISBN = 0-89871-447-8 (paperback)                                */

/*                                                                 */

/* Redistribution and use in source and binary forms, with or      */

/* without modification, are permitted provided that the           */

/* following conditions are met:                                   */

/*                                                                 */

/* - Redistributions of source code must retain the above copyright*/

/*   notice, this list of conditions and the following disclaimer. */

/*                                                                 */

/* - Redistributions in binary form must reproduce the above       */

/*   copyright notice, this list of conditions and the following   */

/*   disclaimer in the documentation and/or other materials        */

/*   provided with the distribution.                               */

/*                                                                 */

/* - Neither the name of Anderson, E. and Bai, Z. and Bischof, C.  */

/*   and Blackford, S. and Demmel, J. and Dongarra, J. and         */

/*   Du Croz, J. and Greenbaum, A. and Hammarling, S. and          */

/*   McKenney, A. and Sorensen, D. nor the names of its            */ 

/*   contributors may be used to endorse or promote products       */

/*   derived from this software without specific prior written     */

/*   permission.                                                   */

/*                                                                 */

/*                                                                 */

/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND          */

/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,   */

/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF        */

/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE        */

/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR            */

/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,    */

/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT    */

/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;    */

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/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,  */

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/* --------------------------------------------------------------  */

/* PROLOG END TAG zYx                                              */

#ifndef CBLAS_H

#define CBLAS_H

#include <stddef.h>

#ifdef __cplusplus

extern "C"

{

#endif

/*

 * 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);

void cblas_stbsv(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_stpsv(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_dgemv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const double alpha, const double *A, const int lda,

                 const double *X, const int incX, const double beta,

                 double *Y, const int incY);

void cblas_dgbmv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const int KL, const int KU, const double alpha,

                 const double *A, const int lda, const double *X,

                 const int incX, const double beta, double *Y, const int incY);

void cblas_dtrmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const double *A, const int lda, 

                 double *X, const int incX);

void cblas_dtbmv(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 double *A, const int lda, 

                 double *X, const int incX);

void cblas_dtpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const double *Ap, double *X, const int incX);

void cblas_dtrsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const double *A, const int lda, double *X,

                 const int incX);

void cblas_dtbsv(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 double *A, const int lda,

                 double *X, const int incX);

void cblas_dtpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const double *Ap, double *X, const int incX);

void cblas_cgemv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const void *alpha, const void *A, const int lda,

                 const void *X, const int incX, const void *beta,

                 void *Y, const int incY);

void cblas_cgbmv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const int KL, const int KU, const void *alpha,

                 const void *A, const int lda, const void *X,

                 const int incX, const void *beta, void *Y, const int incY);

void cblas_ctrmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *A, const int lda, 

                 void *X, const int incX);

void cblas_ctbmv(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 void *A, const int lda, 

                 void *X, const int incX);

void cblas_ctpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *Ap, void *X, const int incX);

void cblas_ctrsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *A, const int lda, void *X,

                 const int incX);

void cblas_ctbsv(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 void *A, const int lda,

                 void *X, const int incX);

void cblas_ctpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *Ap, void *X, const int incX);

void cblas_zgemv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const void *alpha, const void *A, const int lda,

                 const void *X, const int incX, const void *beta,

                 void *Y, const int incY);

void cblas_zgbmv(const enum CBLAS_ORDER order,

                 const enum CBLAS_TRANSPOSE TransA, const int M, const int N,

                 const int KL, const int KU, const void *alpha,

                 const void *A, const int lda, const void *X,

                 const int incX, const void *beta, void *Y, const int incY);

void cblas_ztrmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *A, const int lda, 

                 void *X, const int incX);

void cblas_ztbmv(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 void *A, const int lda, 

                 void *X, const int incX);

void cblas_ztpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *Ap, void *X, const int incX);

void cblas_ztrsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *A, const int lda, void *X,

                 const int incX);

void cblas_ztbsv(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 void *A, const int lda,

                 void *X, const int incX);

void cblas_ztpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag,

                 const int N, const void *Ap, void *X, const int incX);

/* 

 * Routines with S and D prefixes only

 */

void cblas_ssymv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 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_ssbmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const int K, 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_sspmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const float alpha, const float *Ap,

                 const float *X, const int incX,

                 const float beta, float *Y, const int incY);

void cblas_sger(const enum CBLAS_ORDER order, const int M, const int N,

                const float alpha, const float *X, const int incX,

                const float *Y, const int incY, float *A, const int lda);

void cblas_ssyr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const float *X,

                const int incX, float *A, const int lda);

void cblas_sspr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const float *X,

                const int incX, float *Ap);

void cblas_ssyr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const float *X,

                const int incX, const float *Y, const int incY, float *A,

                const int lda);

void cblas_sspr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const float *X,

                const int incX, const float *Y, const int incY, float *A);

void cblas_dsymv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const double alpha, const double *A,

                 const int lda, const double *X, const int incX,

                 const double beta, double *Y, const int incY);

void cblas_dsbmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const int K, const double alpha, const double *A,

                 const int lda, const double *X, const int incX,

                 const double beta, double *Y, const int incY);

void cblas_dspmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const double alpha, const double *Ap,

                 const double *X, const int incX,

                 const double beta, double *Y, const int incY);

void cblas_dger(const enum CBLAS_ORDER order, const int M, const int N,

                const double alpha, const double *X, const int incX,

                const double *Y, const int incY, double *A, const int lda);

void cblas_dsyr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const double *X,

                const int incX, double *A, const int lda);

void cblas_dspr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const double *X,

                const int incX, double *Ap);

void cblas_dsyr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const double *X,

                const int incX, const double *Y, const int incY, double *A,

                const int lda);

void cblas_dspr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const double *X,

                const int incX, const double *Y, const int incY, double *A);

/* 

 * Routines with C and Z prefixes only

 */

void cblas_chemv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const void *alpha, const void *A,

                 const int lda, const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_chbmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const int K, const void *alpha, const void *A,

                 const int lda, const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_chpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const void *alpha, const void *Ap,

                 const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_cgeru(const enum CBLAS_ORDER order, const int M, const int N,

                 const void *alpha, const void *X, const int incX,

                 const void *Y, const int incY, void *A, const int lda);

void cblas_cgerc(const enum CBLAS_ORDER order, const int M, const int N,

                 const void *alpha, const void *X, const int incX,

                 const void *Y, const int incY, void *A, const int lda);

void cblas_cher(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const void *X, const int incX,

                void *A, const int lda);

void cblas_chpr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const float alpha, const void *X,

                const int incX, void *A);

void cblas_cher2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N,

                const void *alpha, const void *X, const int incX,

                const void *Y, const int incY, void *A, const int lda);

void cblas_chpr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N,

                const void *alpha, const void *X, const int incX,

                const void *Y, const int incY, void *Ap);

void cblas_zhemv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const void *alpha, const void *A,

                 const int lda, const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_zhbmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const int K, const void *alpha, const void *A,

                 const int lda, const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_zhpmv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                 const int N, const void *alpha, const void *Ap,

                 const void *X, const int incX,

                 const void *beta, void *Y, const int incY);

void cblas_zgeru(const enum CBLAS_ORDER order, const int M, const int N,

                 const void *alpha, const void *X, const int incX,

                 const void *Y, const int incY, void *A, const int lda);

void cblas_zgerc(const enum CBLAS_ORDER order, const int M, const int N,

                 const void *alpha, const void *X, const int incX,

                 const void *Y, const int incY, void *A, const int lda);

void cblas_zher(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const void *X, const int incX,

                void *A, const int lda);

void cblas_zhpr(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo,

                const int N, const double alpha, const void *X,

                const int incX, void *A);

void cblas_zher2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N,

                const void *alpha, const void *X, const int incX,

                const void *Y, const int incY, void *A, const int lda);

void cblas_zhpr2(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N,

                const void *alpha, const void *X, const int incX,

                const void *Y, const int incY, void *Ap);

/*

 * ===========================================================================

 * Prototypes for level 3 BLAS

 * ===========================================================================

 */

/* 

 * Routines with standard 4 prefixes (S, D, C, Z)

 */

void cblas_sgemm(const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA,

                 const enum CBLAS_TRANSPOSE TransB, const int M, const int N,

                 const int K, const float alpha, const float *A,

                 const int lda, const float *B, const int ldb,

                 const float beta, float *C, const int ldc);

void cblas_ssymm(const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side,

                 const enum CBLAS_UPLO Uplo, const int M, const int N,

                 const float alpha, const float *A, const int lda,

                 const float *B, const int ldb, const float beta,

                 float *C, const int ldc);

void cblas_ssyrk(const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE Trans, const int N, const int K,

                 const float alpha, const float *A, const int lda,

                 const float beta, float *C, const int ldc);

void cblas_ssyr2k(const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo,

                  const enum CBLAS_TRANSPOSE Trans, const int N, const int K,

                  const float alpha, const float *A, const int lda,

                  const float *B, const int ldb, const float beta,

                  float *C, const int ldc);

void cblas_strmm(const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side,

                 const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA,

                 const enum CBLAS_DIAG Diag, const int M, const int N,

                 const float alpha, const float *A, const int lda,

                 float *B, const int ldb);

void cblas_strsm(const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side,

                 const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA,

                 const enum CBLAS_DIAG Diag, const int M, const int N,

                 const float alpha, const float *A, const int lda,

                 float *B, const int ldb);

void cblas_dgemm(const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA,

                 const enum CBLAS_TRANSPOSE TransB, const int M, const int N,

                 const int K, const double alpha, const double *A,

                 const int lda, const double *B, const int ldb,

                 const double beta, double *C, const int ldc);

void cblas_dsymm(const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side,

                 const enum CBLAS_UPLO Uplo, const int M, const int N,

                 const double alpha, const double *A, const int lda,

                 const double *B, const int ldb, const double beta,

                 double *C, const int ldc);

void cblas_dsyrk(const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo,

                 const enum CBLAS_TRANSPOSE Trans, const int N, const int K,

                 const double alpha, const double *A, const int lda,

                 const double beta, double *C, const int ldc);

void cblas_dsyr2k(const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo,

                  const enum CBLAS_TRANSPOSE Trans, const int N, const int K,

                  const double alpha, const double *A, const int lda,

                  const double *B, const int ldb, const double beta,

                  double *C, const int ldc);

void cblas_dtrmm(const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side,