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lapack.h
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/*****************************************************************************
Copyright (c) 2010, Intel Corp.
All rights reserved.
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 Intel Corporation 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; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
THE POSSIBILITY OF SUCH DAMAGE.
******************************************************************************
* Contents: Native C interface to LAPACK
* Author: Intel Corporation
* Generated November, 2011
*****************************************************************************/
/*
* Turn on HAVE_LAPACK_CONFIG_H to redefine C-LAPACK datatypes
*/
#ifdef HAVE_LAPACK_CONFIG_H
#include "lapacke_config.h"
#endif
#include <stdlib.h>
#ifndef lapack_int
#define lapack_int int
#endif
#ifndef lapack_logical
#define lapack_logical lapack_int
#endif
/* Complex types are structures equivalent to the
* Fortran complex types COMPLEX(4) and COMPLEX(8).
*
* One can also redefine the types with his own types
* for example by including in the code definitions like
*
* #define lapack_complex_float std::complex<float>
* #define lapack_complex_double std::complex<double>
*
* or define these types in the command line:
*
* -Dlapack_complex_float="std::complex<float>"
* -Dlapack_complex_double="std::complex<double>"
*/
#ifndef LAPACK_COMPLEX_CUSTOM
/* Complex type (single precision) */
#ifndef lapack_complex_float
#include <complex.h>
#define lapack_complex_float float _Complex
#endif
#ifndef lapack_complex_float_real
#define lapack_complex_float_real(z) (creal(z))
#endif
#ifndef lapack_complex_float_imag
#define lapack_complex_float_imag(z) (cimag(z))
#endif
lapack_complex_float lapack_make_complex_float( float re, float im );
/* Complex type (double precision) */
#ifndef lapack_complex_double
#include <complex.h>
#define lapack_complex_double double _Complex
#endif
#ifndef lapack_complex_double_real
#define lapack_complex_double_real(z) (creal(z))
#endif
#ifndef lapack_complex_double_imag
#define lapack_complex_double_imag(z) (cimag(z))
#endif
lapack_complex_double lapack_make_complex_double( double re, double im );
#endif
#ifndef LAPACKE_malloc
#define LAPACKE_malloc( size ) malloc( size )
#endif
#ifndef LAPACKE_free
#define LAPACKE_free( p ) free( p )
#endif
#define LAPACK_C2INT( x ) (lapack_int)(*((float*)&x ))
#define LAPACK_Z2INT( x ) (lapack_int)(*((double*)&x ))
#define LAPACK_ROW_MAJOR 101
#define LAPACK_COL_MAJOR 102
#define LAPACK_WORK_MEMORY_ERROR -1010
#define LAPACK_TRANSPOSE_MEMORY_ERROR -1011
/* Callback logical functions of one, two, or three arguments are used
* to select eigenvalues to sort to the top left of the Schur form.
* The value is selected if function returns TRUE (non-zero). */
typedef lapack_logical (*LAPACK_S_SELECT2) ( const float*, const float* );
typedef lapack_logical (*LAPACK_S_SELECT3)
( const float*, const float*, const float* );
typedef lapack_logical (*LAPACK_D_SELECT2) ( const double*, const double* );
typedef lapack_logical (*LAPACK_D_SELECT3)
( const double*, const double*, const double* );
typedef lapack_logical (*LAPACK_C_SELECT1) ( const lapack_complex_float* );
typedef lapack_logical (*LAPACK_C_SELECT2)
( const lapack_complex_float*, const lapack_complex_float* );
typedef lapack_logical (*LAPACK_Z_SELECT1) ( const lapack_complex_double* );
typedef lapack_logical (*LAPACK_Z_SELECT2)
( const lapack_complex_double*, const lapack_complex_double* );
void LAPACK_sgetrf( lapack_int* m, lapack_int* n, float* a, lapack_int* lda,
lapack_int* ipiv, lapack_int *info );
void LAPACK_dgetrf( lapack_int* m, lapack_int* n, double* a, lapack_int* lda,
lapack_int* ipiv, lapack_int *info );
void LAPACK_cgetrf( lapack_int* m, lapack_int* n, lapack_complex_float* a,
lapack_int* lda, lapack_int* ipiv, lapack_int *info );
void LAPACK_zgetrf( lapack_int* m, lapack_int* n, lapack_complex_double* a,
lapack_int* lda, lapack_int* ipiv, lapack_int *info );
void LAPACK_sgbtrf( lapack_int* m, lapack_int* n, lapack_int* kl,
lapack_int* ku, float* ab, lapack_int* ldab,
lapack_int* ipiv, lapack_int *info );
void LAPACK_dgbtrf( lapack_int* m, lapack_int* n, lapack_int* kl,
lapack_int* ku, double* ab, lapack_int* ldab,
lapack_int* ipiv, lapack_int *info );
void LAPACK_cgbtrf( lapack_int* m, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_complex_float* ab, lapack_int* ldab,
lapack_int* ipiv, lapack_int *info );
void LAPACK_zgbtrf( lapack_int* m, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_complex_double* ab, lapack_int* ldab,
lapack_int* ipiv, lapack_int *info );
void LAPACK_sgttrf( lapack_int* n, float* dl, float* d, float* du, float* du2,
lapack_int* ipiv, lapack_int *info );
void LAPACK_dgttrf( lapack_int* n, double* dl, double* d, double* du,
double* du2, lapack_int* ipiv, lapack_int *info );
void LAPACK_cgttrf( lapack_int* n, lapack_complex_float* dl,
lapack_complex_float* d, lapack_complex_float* du,
lapack_complex_float* du2, lapack_int* ipiv,
lapack_int *info );
void LAPACK_zgttrf( lapack_int* n, lapack_complex_double* dl,
lapack_complex_double* d, lapack_complex_double* du,
lapack_complex_double* du2, lapack_int* ipiv,
lapack_int *info );
void LAPACK_spotrf( char* uplo, lapack_int* n, float* a, lapack_int* lda,
lapack_int *info );
void LAPACK_dpotrf( char* uplo, lapack_int* n, double* a, lapack_int* lda,
lapack_int *info );
void LAPACK_cpotrf( char* uplo, lapack_int* n, lapack_complex_float* a,
lapack_int* lda, lapack_int *info );
void LAPACK_zpotrf( char* uplo, lapack_int* n, lapack_complex_double* a,
lapack_int* lda, lapack_int *info );
void LAPACK_dpstrf( char* uplo, lapack_int* n, double* a, lapack_int* lda,
lapack_int* piv, lapack_int* rank, double* tol,
double* work, lapack_int *info );
void LAPACK_spstrf( char* uplo, lapack_int* n, float* a, lapack_int* lda,
lapack_int* piv, lapack_int* rank, float* tol, float* work,
lapack_int *info );
void LAPACK_zpstrf( char* uplo, lapack_int* n, lapack_complex_double* a,
lapack_int* lda, lapack_int* piv, lapack_int* rank,
double* tol, double* work, lapack_int *info );
void LAPACK_cpstrf( char* uplo, lapack_int* n, lapack_complex_float* a,
lapack_int* lda, lapack_int* piv, lapack_int* rank,
float* tol, float* work, lapack_int *info );
void LAPACK_dpftrf( char* transr, char* uplo, lapack_int* n, double* a,
lapack_int *info );
void LAPACK_spftrf( char* transr, char* uplo, lapack_int* n, float* a,
lapack_int *info );
void LAPACK_zpftrf( char* transr, char* uplo, lapack_int* n,
lapack_complex_double* a, lapack_int *info );
void LAPACK_cpftrf( char* transr, char* uplo, lapack_int* n,
lapack_complex_float* a, lapack_int *info );
void LAPACK_spptrf( char* uplo, lapack_int* n, float* ap, lapack_int *info );
void LAPACK_dpptrf( char* uplo, lapack_int* n, double* ap, lapack_int *info );
void LAPACK_cpptrf( char* uplo, lapack_int* n, lapack_complex_float* ap,
lapack_int *info );
void LAPACK_zpptrf( char* uplo, lapack_int* n, lapack_complex_double* ap,
lapack_int *info );
void LAPACK_spbtrf( char* uplo, lapack_int* n, lapack_int* kd, float* ab,
lapack_int* ldab, lapack_int *info );
void LAPACK_dpbtrf( char* uplo, lapack_int* n, lapack_int* kd, double* ab,
lapack_int* ldab, lapack_int *info );
void LAPACK_cpbtrf( char* uplo, lapack_int* n, lapack_int* kd,
lapack_complex_float* ab, lapack_int* ldab,
lapack_int *info );
void LAPACK_zpbtrf( char* uplo, lapack_int* n, lapack_int* kd,
lapack_complex_double* ab, lapack_int* ldab,
lapack_int *info );
void LAPACK_spttrf( lapack_int* n, float* d, float* e, lapack_int *info );
void LAPACK_dpttrf( lapack_int* n, double* d, double* e, lapack_int *info );
void LAPACK_cpttrf( lapack_int* n, float* d, lapack_complex_float* e,
lapack_int *info );
void LAPACK_zpttrf( lapack_int* n, double* d, lapack_complex_double* e,
lapack_int *info );
void LAPACK_ssytrf( char* uplo, lapack_int* n, float* a, lapack_int* lda,
lapack_int* ipiv, float* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_dsytrf( char* uplo, lapack_int* n, double* a, lapack_int* lda,
lapack_int* ipiv, double* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_csytrf( char* uplo, lapack_int* n, lapack_complex_float* a,
lapack_int* lda, lapack_int* ipiv,
lapack_complex_float* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_zsytrf( char* uplo, lapack_int* n, lapack_complex_double* a,
lapack_int* lda, lapack_int* ipiv,
lapack_complex_double* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_chetrf( char* uplo, lapack_int* n, lapack_complex_float* a,
lapack_int* lda, lapack_int* ipiv,
lapack_complex_float* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_zhetrf( char* uplo, lapack_int* n, lapack_complex_double* a,
lapack_int* lda, lapack_int* ipiv,
lapack_complex_double* work, lapack_int* lwork,
lapack_int *info );
void LAPACK_ssptrf( char* uplo, lapack_int* n, float* ap, lapack_int* ipiv,
lapack_int *info );
void LAPACK_dsptrf( char* uplo, lapack_int* n, double* ap, lapack_int* ipiv,
lapack_int *info );
void LAPACK_csptrf( char* uplo, lapack_int* n, lapack_complex_float* ap,
lapack_int* ipiv, lapack_int *info );
void LAPACK_zsptrf( char* uplo, lapack_int* n, lapack_complex_double* ap,
lapack_int* ipiv, lapack_int *info );
void LAPACK_chptrf( char* uplo, lapack_int* n, lapack_complex_float* ap,
lapack_int* ipiv, lapack_int *info );
void LAPACK_zhptrf( char* uplo, lapack_int* n, lapack_complex_double* ap,
lapack_int* ipiv, lapack_int *info );
void LAPACK_sgetrs( char* trans, lapack_int* n, lapack_int* nrhs,
const float* a, lapack_int* lda, const lapack_int* ipiv,
float* b, lapack_int* ldb, lapack_int *info );
void LAPACK_dgetrs( char* trans, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const lapack_int* ipiv,
double* b, lapack_int* ldb, lapack_int *info );
void LAPACK_cgetrs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_zgetrs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_sgbtrs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const float* ab, lapack_int* ldab,
const lapack_int* ipiv, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dgbtrs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const double* ab, lapack_int* ldab,
const lapack_int* ipiv, double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_cgbtrs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const lapack_complex_float* ab,
lapack_int* ldab, const lapack_int* ipiv,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zgbtrs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const lapack_complex_double* ab,
lapack_int* ldab, const lapack_int* ipiv,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_sgttrs( char* trans, lapack_int* n, lapack_int* nrhs,
const float* dl, const float* d, const float* du,
const float* du2, const lapack_int* ipiv, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dgttrs( char* trans, lapack_int* n, lapack_int* nrhs,
const double* dl, const double* d, const double* du,
const double* du2, const lapack_int* ipiv, double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_cgttrs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* dl,
const lapack_complex_float* d,
const lapack_complex_float* du,
const lapack_complex_float* du2, const lapack_int* ipiv,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zgttrs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* dl,
const lapack_complex_double* d,
const lapack_complex_double* du,
const lapack_complex_double* du2, const lapack_int* ipiv,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_spotrs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* a,
lapack_int* lda, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dpotrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_cpotrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zpotrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dpftrs( char* transr, char* uplo, lapack_int* n, lapack_int* nrhs,
const double* a, double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_spftrs( char* transr, char* uplo, lapack_int* n, lapack_int* nrhs,
const float* a, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zpftrs( char* transr, char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_complex_double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_cpftrs( char* transr, char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_spptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const float* ap, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dpptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* ap, double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_cpptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* ap, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_zpptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* ap, lapack_complex_double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_spbtrs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const float* ab, lapack_int* ldab, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dpbtrs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const double* ab, lapack_int* ldab, double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_cpbtrs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const lapack_complex_float* ab, lapack_int* ldab,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zpbtrs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const lapack_complex_double* ab, lapack_int* ldab,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_spttrs( lapack_int* n, lapack_int* nrhs, const float* d,
const float* e, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dpttrs( lapack_int* n, lapack_int* nrhs, const double* d,
const double* e, double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_cpttrs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* d,
const lapack_complex_float* e, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_zpttrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* d, const lapack_complex_double* e,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_ssytrs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* a,
lapack_int* lda, const lapack_int* ipiv, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dsytrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const lapack_int* ipiv,
double* b, lapack_int* ldb, lapack_int *info );
void LAPACK_csytrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_zsytrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_chetrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_zhetrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_int* ipiv, lapack_complex_double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_ssptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const float* ap, const lapack_int* ipiv, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dsptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* ap, const lapack_int* ipiv, double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_csptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* ap, const lapack_int* ipiv,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zsptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* ap, const lapack_int* ipiv,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_chptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* ap, const lapack_int* ipiv,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_zhptrs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* ap, const lapack_int* ipiv,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_strtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const float* a, lapack_int* lda, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dtrtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const double* a, lapack_int* lda,
double* b, lapack_int* ldb, lapack_int *info );
void LAPACK_ctrtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const lapack_complex_float* a,
lapack_int* lda, lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_ztrtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const lapack_complex_double* a,
lapack_int* lda, lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_stptrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const float* ap, float* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_dtptrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const double* ap, double* b,
lapack_int* ldb, lapack_int *info );
void LAPACK_ctptrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const lapack_complex_float* ap,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_ztptrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* nrhs, const lapack_complex_double* ap,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_stbtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* kd, lapack_int* nrhs, const float* ab,
lapack_int* ldab, float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_dtbtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* kd, lapack_int* nrhs, const double* ab,
lapack_int* ldab, double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_ctbtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* kd, lapack_int* nrhs,
const lapack_complex_float* ab, lapack_int* ldab,
lapack_complex_float* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_ztbtrs( char* uplo, char* trans, char* diag, lapack_int* n,
lapack_int* kd, lapack_int* nrhs,
const lapack_complex_double* ab, lapack_int* ldab,
lapack_complex_double* b, lapack_int* ldb,
lapack_int *info );
void LAPACK_sgecon( char* norm, lapack_int* n, const float* a, lapack_int* lda,
float* anorm, float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgecon( char* norm, lapack_int* n, const double* a, lapack_int* lda,
double* anorm, double* rcond, double* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_cgecon( char* norm, lapack_int* n, const lapack_complex_float* a,
lapack_int* lda, float* anorm, float* rcond,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zgecon( char* norm, lapack_int* n, const lapack_complex_double* a,
lapack_int* lda, double* anorm, double* rcond,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sgbcon( char* norm, lapack_int* n, lapack_int* kl, lapack_int* ku,
const float* ab, lapack_int* ldab, const lapack_int* ipiv,
float* anorm, float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgbcon( char* norm, lapack_int* n, lapack_int* kl, lapack_int* ku,
const double* ab, lapack_int* ldab, const lapack_int* ipiv,
double* anorm, double* rcond, double* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_cgbcon( char* norm, lapack_int* n, lapack_int* kl, lapack_int* ku,
const lapack_complex_float* ab, lapack_int* ldab,
const lapack_int* ipiv, float* anorm, float* rcond,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zgbcon( char* norm, lapack_int* n, lapack_int* kl, lapack_int* ku,
const lapack_complex_double* ab, lapack_int* ldab,
const lapack_int* ipiv, double* anorm, double* rcond,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sgtcon( char* norm, lapack_int* n, const float* dl, const float* d,
const float* du, const float* du2, const lapack_int* ipiv,
float* anorm, float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgtcon( char* norm, lapack_int* n, const double* dl,
const double* d, const double* du, const double* du2,
const lapack_int* ipiv, double* anorm, double* rcond,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cgtcon( char* norm, lapack_int* n, const lapack_complex_float* dl,
const lapack_complex_float* d,
const lapack_complex_float* du,
const lapack_complex_float* du2, const lapack_int* ipiv,
float* anorm, float* rcond, lapack_complex_float* work,
lapack_int *info );
void LAPACK_zgtcon( char* norm, lapack_int* n, const lapack_complex_double* dl,
const lapack_complex_double* d,
const lapack_complex_double* du,
const lapack_complex_double* du2, const lapack_int* ipiv,
double* anorm, double* rcond, lapack_complex_double* work,
lapack_int *info );
void LAPACK_spocon( char* uplo, lapack_int* n, const float* a, lapack_int* lda,
float* anorm, float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dpocon( char* uplo, lapack_int* n, const double* a, lapack_int* lda,
double* anorm, double* rcond, double* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_cpocon( char* uplo, lapack_int* n, const lapack_complex_float* a,
lapack_int* lda, float* anorm, float* rcond,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zpocon( char* uplo, lapack_int* n, const lapack_complex_double* a,
lapack_int* lda, double* anorm, double* rcond,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sppcon( char* uplo, lapack_int* n, const float* ap, float* anorm,
float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dppcon( char* uplo, lapack_int* n, const double* ap, double* anorm,
double* rcond, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_cppcon( char* uplo, lapack_int* n, const lapack_complex_float* ap,
float* anorm, float* rcond, lapack_complex_float* work,
float* rwork, lapack_int *info );
void LAPACK_zppcon( char* uplo, lapack_int* n, const lapack_complex_double* ap,
double* anorm, double* rcond, lapack_complex_double* work,
double* rwork, lapack_int *info );
void LAPACK_spbcon( char* uplo, lapack_int* n, lapack_int* kd, const float* ab,
lapack_int* ldab, float* anorm, float* rcond, float* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_dpbcon( char* uplo, lapack_int* n, lapack_int* kd, const double* ab,
lapack_int* ldab, double* anorm, double* rcond,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cpbcon( char* uplo, lapack_int* n, lapack_int* kd,
const lapack_complex_float* ab, lapack_int* ldab,
float* anorm, float* rcond, lapack_complex_float* work,
float* rwork, lapack_int *info );
void LAPACK_zpbcon( char* uplo, lapack_int* n, lapack_int* kd,
const lapack_complex_double* ab, lapack_int* ldab,
double* anorm, double* rcond, lapack_complex_double* work,
double* rwork, lapack_int *info );
void LAPACK_sptcon( lapack_int* n, const float* d, const float* e, float* anorm,
float* rcond, float* work, lapack_int *info );
void LAPACK_dptcon( lapack_int* n, const double* d, const double* e,
double* anorm, double* rcond, double* work,
lapack_int *info );
void LAPACK_cptcon( lapack_int* n, const float* d,
const lapack_complex_float* e, float* anorm, float* rcond,
float* work, lapack_int *info );
void LAPACK_zptcon( lapack_int* n, const double* d,
const lapack_complex_double* e, double* anorm,
double* rcond, double* work, lapack_int *info );
void LAPACK_ssycon( char* uplo, lapack_int* n, const float* a, lapack_int* lda,
const lapack_int* ipiv, float* anorm, float* rcond,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_dsycon( char* uplo, lapack_int* n, const double* a, lapack_int* lda,
const lapack_int* ipiv, double* anorm, double* rcond,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_csycon( char* uplo, lapack_int* n, const lapack_complex_float* a,
lapack_int* lda, const lapack_int* ipiv, float* anorm,
float* rcond, lapack_complex_float* work,
lapack_int *info );
void LAPACK_zsycon( char* uplo, lapack_int* n, const lapack_complex_double* a,
lapack_int* lda, const lapack_int* ipiv, double* anorm,
double* rcond, lapack_complex_double* work,
lapack_int *info );
void LAPACK_checon( char* uplo, lapack_int* n, const lapack_complex_float* a,
lapack_int* lda, const lapack_int* ipiv, float* anorm,
float* rcond, lapack_complex_float* work,
lapack_int *info );
void LAPACK_zhecon( char* uplo, lapack_int* n, const lapack_complex_double* a,
lapack_int* lda, const lapack_int* ipiv, double* anorm,
double* rcond, lapack_complex_double* work,
lapack_int *info );
void LAPACK_sspcon( char* uplo, lapack_int* n, const float* ap,
const lapack_int* ipiv, float* anorm, float* rcond,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_dspcon( char* uplo, lapack_int* n, const double* ap,
const lapack_int* ipiv, double* anorm, double* rcond,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cspcon( char* uplo, lapack_int* n, const lapack_complex_float* ap,
const lapack_int* ipiv, float* anorm, float* rcond,
lapack_complex_float* work, lapack_int *info );
void LAPACK_zspcon( char* uplo, lapack_int* n, const lapack_complex_double* ap,
const lapack_int* ipiv, double* anorm, double* rcond,
lapack_complex_double* work, lapack_int *info );
void LAPACK_chpcon( char* uplo, lapack_int* n, const lapack_complex_float* ap,
const lapack_int* ipiv, float* anorm, float* rcond,
lapack_complex_float* work, lapack_int *info );
void LAPACK_zhpcon( char* uplo, lapack_int* n, const lapack_complex_double* ap,
const lapack_int* ipiv, double* anorm, double* rcond,
lapack_complex_double* work, lapack_int *info );
void LAPACK_strcon( char* norm, char* uplo, char* diag, lapack_int* n,
const float* a, lapack_int* lda, float* rcond, float* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_dtrcon( char* norm, char* uplo, char* diag, lapack_int* n,
const double* a, lapack_int* lda, double* rcond,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_ctrcon( char* norm, char* uplo, char* diag, lapack_int* n,
const lapack_complex_float* a, lapack_int* lda,
float* rcond, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_ztrcon( char* norm, char* uplo, char* diag, lapack_int* n,
const lapack_complex_double* a, lapack_int* lda,
double* rcond, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_stpcon( char* norm, char* uplo, char* diag, lapack_int* n,
const float* ap, float* rcond, float* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_dtpcon( char* norm, char* uplo, char* diag, lapack_int* n,
const double* ap, double* rcond, double* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_ctpcon( char* norm, char* uplo, char* diag, lapack_int* n,
const lapack_complex_float* ap, float* rcond,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_ztpcon( char* norm, char* uplo, char* diag, lapack_int* n,
const lapack_complex_double* ap, double* rcond,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_stbcon( char* norm, char* uplo, char* diag, lapack_int* n,
lapack_int* kd, const float* ab, lapack_int* ldab,
float* rcond, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dtbcon( char* norm, char* uplo, char* diag, lapack_int* n,
lapack_int* kd, const double* ab, lapack_int* ldab,
double* rcond, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_ctbcon( char* norm, char* uplo, char* diag, lapack_int* n,
lapack_int* kd, const lapack_complex_float* ab,
lapack_int* ldab, float* rcond, lapack_complex_float* work,
float* rwork, lapack_int *info );
void LAPACK_ztbcon( char* norm, char* uplo, char* diag, lapack_int* n,
lapack_int* kd, const lapack_complex_double* ab,
lapack_int* ldab, double* rcond,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sgerfs( char* trans, lapack_int* n, lapack_int* nrhs,
const float* a, lapack_int* lda, const float* af,
lapack_int* ldaf, const lapack_int* ipiv, const float* b,
lapack_int* ldb, float* x, lapack_int* ldx, float* ferr,
float* berr, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgerfs( char* trans, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const lapack_int* ipiv, const double* b,
lapack_int* ldb, double* x, lapack_int* ldx, double* ferr,
double* berr, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_cgerfs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_complex_float* af, lapack_int* ldaf,
const lapack_int* ipiv, const lapack_complex_float* b,
lapack_int* ldb, lapack_complex_float* x, lapack_int* ldx,
float* ferr, float* berr, lapack_complex_float* work,
float* rwork, lapack_int *info );
void LAPACK_zgerfs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const lapack_int* ipiv, const lapack_complex_double* b,
lapack_int* ldb, lapack_complex_double* x, lapack_int* ldx,
double* ferr, double* berr, lapack_complex_double* work,
double* rwork, lapack_int *info );
void LAPACK_dgerfsx( char* trans, char* equed, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const lapack_int* ipiv, const double* r,
const double* c, const double* b, lapack_int* ldb,
double* x, lapack_int* ldx, double* rcond, double* berr,
lapack_int* n_err_bnds, double* err_bnds_norm,
double* err_bnds_comp, lapack_int* nparams, double* params,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_sgerfsx( char* trans, char* equed, lapack_int* n, lapack_int* nrhs,
const float* a, lapack_int* lda, const float* af,
lapack_int* ldaf, const lapack_int* ipiv, const float* r,
const float* c, const float* b, lapack_int* ldb, float* x,
lapack_int* ldx, float* rcond, float* berr,
lapack_int* n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int* nparams, float* params,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_zgerfsx( char* trans, char* equed, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const lapack_int* ipiv, const double* r, const double* c,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* rcond,
double* berr, lapack_int* n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int* nparams, double* params,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_cgerfsx( char* trans, char* equed, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_complex_float* af, lapack_int* ldaf,
const lapack_int* ipiv, const float* r, const float* c,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* rcond,
float* berr, lapack_int* n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int* nparams, float* params,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_sgbrfs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const float* ab, lapack_int* ldab,
const float* afb, lapack_int* ldafb, const lapack_int* ipiv,
const float* b, lapack_int* ldb, float* x, lapack_int* ldx,
float* ferr, float* berr, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgbrfs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const double* ab, lapack_int* ldab,
const double* afb, lapack_int* ldafb,
const lapack_int* ipiv, const double* b, lapack_int* ldb,
double* x, lapack_int* ldx, double* ferr, double* berr,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cgbrfs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const lapack_complex_float* ab,
lapack_int* ldab, const lapack_complex_float* afb,
lapack_int* ldafb, const lapack_int* ipiv,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zgbrfs( char* trans, lapack_int* n, lapack_int* kl, lapack_int* ku,
lapack_int* nrhs, const lapack_complex_double* ab,
lapack_int* ldab, const lapack_complex_double* afb,
lapack_int* ldafb, const lapack_int* ipiv,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_dgbrfsx( char* trans, char* equed, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_int* nrhs, const double* ab,
lapack_int* ldab, const double* afb, lapack_int* ldafb,
const lapack_int* ipiv, const double* r, const double* c,
const double* b, lapack_int* ldb, double* x,
lapack_int* ldx, double* rcond, double* berr,
lapack_int* n_err_bnds, double* err_bnds_norm,
double* err_bnds_comp, lapack_int* nparams, double* params,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_sgbrfsx( char* trans, char* equed, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_int* nrhs, const float* ab,
lapack_int* ldab, const float* afb, lapack_int* ldafb,
const lapack_int* ipiv, const float* r, const float* c,
const float* b, lapack_int* ldb, float* x, lapack_int* ldx,
float* rcond, float* berr, lapack_int* n_err_bnds,
float* err_bnds_norm, float* err_bnds_comp,
lapack_int* nparams, float* params, float* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_zgbrfsx( char* trans, char* equed, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_int* nrhs,
const lapack_complex_double* ab, lapack_int* ldab,
const lapack_complex_double* afb, lapack_int* ldafb,
const lapack_int* ipiv, const double* r, const double* c,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* rcond,
double* berr, lapack_int* n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int* nparams, double* params,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_cgbrfsx( char* trans, char* equed, lapack_int* n, lapack_int* kl,
lapack_int* ku, lapack_int* nrhs,
const lapack_complex_float* ab, lapack_int* ldab,
const lapack_complex_float* afb, lapack_int* ldafb,
const lapack_int* ipiv, const float* r, const float* c,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* rcond,
float* berr, lapack_int* n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int* nparams, float* params,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_sgtrfs( char* trans, lapack_int* n, lapack_int* nrhs,
const float* dl, const float* d, const float* du,
const float* dlf, const float* df, const float* duf,
const float* du2, const lapack_int* ipiv, const float* b,
lapack_int* ldb, float* x, lapack_int* ldx, float* ferr,
float* berr, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dgtrfs( char* trans, lapack_int* n, lapack_int* nrhs,
const double* dl, const double* d, const double* du,
const double* dlf, const double* df, const double* duf,
const double* du2, const lapack_int* ipiv, const double* b,
lapack_int* ldb, double* x, lapack_int* ldx, double* ferr,
double* berr, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_cgtrfs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* dl,
const lapack_complex_float* d,
const lapack_complex_float* du,
const lapack_complex_float* dlf,
const lapack_complex_float* df,
const lapack_complex_float* duf,
const lapack_complex_float* du2, const lapack_int* ipiv,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zgtrfs( char* trans, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* dl,
const lapack_complex_double* d,
const lapack_complex_double* du,
const lapack_complex_double* dlf,
const lapack_complex_double* df,
const lapack_complex_double* duf,
const lapack_complex_double* du2, const lapack_int* ipiv,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sporfs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* a,
lapack_int* lda, const float* af, lapack_int* ldaf,
const float* b, lapack_int* ldb, float* x, lapack_int* ldx,
float* ferr, float* berr, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dporfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const double* b, lapack_int* ldb,
double* x, lapack_int* ldx, double* ferr, double* berr,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cporfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_complex_float* af, lapack_int* ldaf,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zporfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_dporfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const double* s, const double* b,
lapack_int* ldb, double* x, lapack_int* ldx, double* rcond,
double* berr, lapack_int* n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int* nparams, double* params, double* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_sporfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const float* a, lapack_int* lda, const float* af,
lapack_int* ldaf, const float* s, const float* b,
lapack_int* ldb, float* x, lapack_int* ldx, float* rcond,
float* berr, lapack_int* n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int* nparams, float* params,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_zporfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const double* s, const lapack_complex_double* b,
lapack_int* ldb, lapack_complex_double* x, lapack_int* ldx,
double* rcond, double* berr, lapack_int* n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int* nparams, double* params,
lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_cporfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_complex_float* af, lapack_int* ldaf,
const float* s, const lapack_complex_float* b,
lapack_int* ldb, lapack_complex_float* x, lapack_int* ldx,
float* rcond, float* berr, lapack_int* n_err_bnds,
float* err_bnds_norm, float* err_bnds_comp,
lapack_int* nparams, float* params,
lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_spprfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const float* ap, const float* afp, const float* b,
lapack_int* ldb, float* x, lapack_int* ldx, float* ferr,
float* berr, float* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_dpprfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* ap, const double* afp, const double* b,
lapack_int* ldb, double* x, lapack_int* ldx, double* ferr,
double* berr, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_cpprfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* ap,
const lapack_complex_float* afp,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zpprfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* ap,
const lapack_complex_double* afp,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_spbrfs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const float* ab, lapack_int* ldab, const float* afb,
lapack_int* ldafb, const float* b, lapack_int* ldb,
float* x, lapack_int* ldx, float* ferr, float* berr,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_dpbrfs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const double* ab, lapack_int* ldab, const double* afb,
lapack_int* ldafb, const double* b, lapack_int* ldb,
double* x, lapack_int* ldx, double* ferr, double* berr,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_cpbrfs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const lapack_complex_float* ab, lapack_int* ldab,
const lapack_complex_float* afb, lapack_int* ldafb,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zpbrfs( char* uplo, lapack_int* n, lapack_int* kd, lapack_int* nrhs,
const lapack_complex_double* ab, lapack_int* ldab,
const lapack_complex_double* afb, lapack_int* ldafb,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_sptrfs( lapack_int* n, lapack_int* nrhs, const float* d,
const float* e, const float* df, const float* ef,
const float* b, lapack_int* ldb, float* x, lapack_int* ldx,
float* ferr, float* berr, float* work, lapack_int *info );
void LAPACK_dptrfs( lapack_int* n, lapack_int* nrhs, const double* d,
const double* e, const double* df, const double* ef,
const double* b, lapack_int* ldb, double* x,
lapack_int* ldx, double* ferr, double* berr, double* work,
lapack_int *info );
void LAPACK_cptrfs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* d,
const lapack_complex_float* e, const float* df,
const lapack_complex_float* ef,
const lapack_complex_float* b, lapack_int* ldb,
lapack_complex_float* x, lapack_int* ldx, float* ferr,
float* berr, lapack_complex_float* work, float* rwork,
lapack_int *info );
void LAPACK_zptrfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* d, const lapack_complex_double* e,
const double* df, const lapack_complex_double* ef,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* ferr,
double* berr, lapack_complex_double* work, double* rwork,
lapack_int *info );
void LAPACK_ssyrfs( char* uplo, lapack_int* n, lapack_int* nrhs, const float* a,
lapack_int* lda, const float* af, lapack_int* ldaf,
const lapack_int* ipiv, const float* b, lapack_int* ldb,
float* x, lapack_int* ldx, float* ferr, float* berr,
float* work, lapack_int* iwork, lapack_int *info );
void LAPACK_dsyrfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const lapack_int* ipiv, const double* b,
lapack_int* ldb, double* x, lapack_int* ldx, double* ferr,
double* berr, double* work, lapack_int* iwork,
lapack_int *info );
void LAPACK_csyrfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_float* a, lapack_int* lda,
const lapack_complex_float* af, lapack_int* ldaf,
const lapack_int* ipiv, const lapack_complex_float* b,
lapack_int* ldb, lapack_complex_float* x, lapack_int* ldx,
float* ferr, float* berr, lapack_complex_float* work,
float* rwork, lapack_int *info );
void LAPACK_zsyrfs( char* uplo, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const lapack_int* ipiv, const lapack_complex_double* b,
lapack_int* ldb, lapack_complex_double* x, lapack_int* ldx,
double* ferr, double* berr, lapack_complex_double* work,
double* rwork, lapack_int *info );
void LAPACK_dsyrfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const double* a, lapack_int* lda, const double* af,
lapack_int* ldaf, const lapack_int* ipiv, const double* s,
const double* b, lapack_int* ldb, double* x,
lapack_int* ldx, double* rcond, double* berr,
lapack_int* n_err_bnds, double* err_bnds_norm,
double* err_bnds_comp, lapack_int* nparams, double* params,
double* work, lapack_int* iwork, lapack_int *info );
void LAPACK_ssyrfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const float* a, lapack_int* lda, const float* af,
lapack_int* ldaf, const lapack_int* ipiv, const float* s,
const float* b, lapack_int* ldb, float* x, lapack_int* ldx,
float* rcond, float* berr, lapack_int* n_err_bnds,
float* err_bnds_norm, float* err_bnds_comp,
lapack_int* nparams, float* params, float* work,
lapack_int* iwork, lapack_int *info );
void LAPACK_zsyrfsx( char* uplo, char* equed, lapack_int* n, lapack_int* nrhs,
const lapack_complex_double* a, lapack_int* lda,
const lapack_complex_double* af, lapack_int* ldaf,
const lapack_int* ipiv, const double* s,
const lapack_complex_double* b, lapack_int* ldb,
lapack_complex_double* x, lapack_int* ldx, double* rcond,
double* berr, lapack_int* n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int* nparams, double* params,