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Diffstat (limited to '2.3-1/thirdparty/includes/GSL/gsl/gsl_blas.h')
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1 files changed, 602 insertions, 0 deletions
diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_blas.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_blas.h new file mode 100644 index 00000000..7c427149 --- /dev/null +++ b/2.3-1/thirdparty/includes/GSL/gsl/gsl_blas.h @@ -0,0 +1,602 @@ +/* blas/gsl_blas.h + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 3 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +/* + * Author: G. Jungman + */ +#ifndef __GSL_BLAS_H__ +#define __GSL_BLAS_H__ + +#include <gsl/gsl_vector.h> +#include <gsl/gsl_matrix.h> + +#include <gsl/gsl_blas_types.h> + + +#undef __BEGIN_DECLS +#undef __END_DECLS +#ifdef __cplusplus +# define __BEGIN_DECLS extern "C" { +# define __END_DECLS } +#else +# define __BEGIN_DECLS /* empty */ +# define __END_DECLS /* empty */ +#endif + +__BEGIN_DECLS + + +/* ======================================================================== + * Level 1 + * ======================================================================== + */ + +int gsl_blas_sdsdot (float alpha, + const gsl_vector_float * X, + const gsl_vector_float * Y, + float * result + ); + +int gsl_blas_dsdot (const gsl_vector_float * X, + const gsl_vector_float * Y, + double * result + ); + +int gsl_blas_sdot (const gsl_vector_float * X, + const gsl_vector_float * Y, + float * result + ); + +int gsl_blas_ddot (const gsl_vector * X, + const gsl_vector * Y, + double * result + ); + + +int gsl_blas_cdotu (const gsl_vector_complex_float * X, + const gsl_vector_complex_float * Y, + gsl_complex_float * dotu); + +int gsl_blas_cdotc (const gsl_vector_complex_float * X, + const gsl_vector_complex_float * Y, + gsl_complex_float * dotc); + +int gsl_blas_zdotu (const gsl_vector_complex * X, + const gsl_vector_complex * Y, + gsl_complex * dotu); + +int gsl_blas_zdotc (const gsl_vector_complex * X, + const gsl_vector_complex * Y, + gsl_complex * dotc); + + +float gsl_blas_snrm2 (const gsl_vector_float * X); +float gsl_blas_sasum (const gsl_vector_float * X); +double gsl_blas_dnrm2 (const gsl_vector * X); +double gsl_blas_dasum (const gsl_vector * X); +float gsl_blas_scnrm2 (const gsl_vector_complex_float * X); +float gsl_blas_scasum (const gsl_vector_complex_float * X); +double gsl_blas_dznrm2 (const gsl_vector_complex * X); +double gsl_blas_dzasum (const gsl_vector_complex * X); + + +CBLAS_INDEX_t gsl_blas_isamax (const gsl_vector_float * X); +CBLAS_INDEX_t gsl_blas_idamax (const gsl_vector * X); +CBLAS_INDEX_t gsl_blas_icamax (const gsl_vector_complex_float * X); +CBLAS_INDEX_t gsl_blas_izamax (const gsl_vector_complex * X); + + +int gsl_blas_sswap (gsl_vector_float * X, + gsl_vector_float * Y); + +int gsl_blas_scopy (const gsl_vector_float * X, + gsl_vector_float * Y); + +int gsl_blas_saxpy (float alpha, + const gsl_vector_float * X, + gsl_vector_float * Y); + +int gsl_blas_dswap (gsl_vector * X, + gsl_vector * Y); + +int gsl_blas_dcopy (const gsl_vector * X, + gsl_vector * Y); + +int gsl_blas_daxpy (double alpha, + const gsl_vector * X, + gsl_vector * Y); + +int gsl_blas_cswap (gsl_vector_complex_float * X, + gsl_vector_complex_float * Y); + +int gsl_blas_ccopy (const gsl_vector_complex_float * X, + gsl_vector_complex_float * Y); + +int gsl_blas_caxpy (const gsl_complex_float alpha, + const gsl_vector_complex_float * X, + gsl_vector_complex_float * Y); + +int gsl_blas_zswap (gsl_vector_complex * X, + gsl_vector_complex * Y); + +int gsl_blas_zcopy (const gsl_vector_complex * X, + gsl_vector_complex * Y); + +int gsl_blas_zaxpy (const gsl_complex alpha, + const gsl_vector_complex * X, + gsl_vector_complex * Y); + + +int gsl_blas_srotg (float a[], float b[], float c[], float s[]); + +int gsl_blas_srotmg (float d1[], float d2[], float b1[], float b2, float P[]); + +int gsl_blas_srot (gsl_vector_float * X, + gsl_vector_float * Y, + float c, float s); + +int gsl_blas_srotm (gsl_vector_float * X, + gsl_vector_float * Y, + const float P[]); + +int gsl_blas_drotg (double a[], double b[], double c[], double s[]); + +int gsl_blas_drotmg (double d1[], double d2[], double b1[], + double b2, double P[]); + +int gsl_blas_drot (gsl_vector * X, + gsl_vector * Y, + const double c, const double s); + +int gsl_blas_drotm (gsl_vector * X, + gsl_vector * Y, + const double P[]); + + +void gsl_blas_sscal (float alpha, gsl_vector_float * X); +void gsl_blas_dscal (double alpha, gsl_vector * X); +void gsl_blas_cscal (const gsl_complex_float alpha, gsl_vector_complex_float * X); +void gsl_blas_zscal (const gsl_complex alpha, gsl_vector_complex * X); +void gsl_blas_csscal (float alpha, gsl_vector_complex_float * X); +void gsl_blas_zdscal (double alpha, gsl_vector_complex * X); + + +/* =========================================================================== + * Level 2 + * =========================================================================== + */ + +/* + * Routines with standard 4 prefixes (S, D, C, Z) + */ +int gsl_blas_sgemv (CBLAS_TRANSPOSE_t TransA, + float alpha, + const gsl_matrix_float * A, + const gsl_vector_float * X, + float beta, + gsl_vector_float * Y); + +int gsl_blas_strmv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_float * A, + gsl_vector_float * X); + +int gsl_blas_strsv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_float * A, + gsl_vector_float * X); + +int gsl_blas_dgemv (CBLAS_TRANSPOSE_t TransA, + double alpha, + const gsl_matrix * A, + const gsl_vector * X, + double beta, + gsl_vector * Y); + +int gsl_blas_dtrmv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix * A, + gsl_vector * X); + +int gsl_blas_dtrsv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix * A, + gsl_vector * X); + +int gsl_blas_cgemv (CBLAS_TRANSPOSE_t TransA, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_vector_complex_float * X, + const gsl_complex_float beta, + gsl_vector_complex_float * Y); + +int gsl_blas_ctrmv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_complex_float * A, + gsl_vector_complex_float * X); + +int gsl_blas_ctrsv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_complex_float * A, + gsl_vector_complex_float * X); + +int gsl_blas_zgemv (CBLAS_TRANSPOSE_t TransA, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_vector_complex * X, + const gsl_complex beta, + gsl_vector_complex * Y); + +int gsl_blas_ztrmv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_complex * A, + gsl_vector_complex * X); + +int gsl_blas_ztrsv (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, + const gsl_matrix_complex * A, + gsl_vector_complex *X); + +/* + * Routines with S and D prefixes only + */ +int gsl_blas_ssymv (CBLAS_UPLO_t Uplo, + float alpha, + const gsl_matrix_float * A, + const gsl_vector_float * X, + float beta, + gsl_vector_float * Y); + +int gsl_blas_sger (float alpha, + const gsl_vector_float * X, + const gsl_vector_float * Y, + gsl_matrix_float * A); + +int gsl_blas_ssyr (CBLAS_UPLO_t Uplo, + float alpha, + const gsl_vector_float * X, + gsl_matrix_float * A); + +int gsl_blas_ssyr2 (CBLAS_UPLO_t Uplo, + float alpha, + const gsl_vector_float * X, + const gsl_vector_float * Y, + gsl_matrix_float * A); + +int gsl_blas_dsymv (CBLAS_UPLO_t Uplo, + double alpha, + const gsl_matrix * A, + const gsl_vector * X, + double beta, + gsl_vector * Y); +int gsl_blas_dger (double alpha, + const gsl_vector * X, + const gsl_vector * Y, + gsl_matrix * A); + +int gsl_blas_dsyr (CBLAS_UPLO_t Uplo, + double alpha, + const gsl_vector * X, + gsl_matrix * A); + +int gsl_blas_dsyr2 (CBLAS_UPLO_t Uplo, + double alpha, + const gsl_vector * X, + const gsl_vector * Y, + gsl_matrix * A); + +/* + * Routines with C and Z prefixes only + */ + +int gsl_blas_chemv (CBLAS_UPLO_t Uplo, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_vector_complex_float * X, + const gsl_complex_float beta, + gsl_vector_complex_float * Y); + +int gsl_blas_cgeru (const gsl_complex_float alpha, + const gsl_vector_complex_float * X, + const gsl_vector_complex_float * Y, + gsl_matrix_complex_float * A); + +int gsl_blas_cgerc (const gsl_complex_float alpha, + const gsl_vector_complex_float * X, + const gsl_vector_complex_float * Y, + gsl_matrix_complex_float * A); + +int gsl_blas_cher (CBLAS_UPLO_t Uplo, + float alpha, + const gsl_vector_complex_float * X, + gsl_matrix_complex_float * A); + +int gsl_blas_cher2 (CBLAS_UPLO_t Uplo, + const gsl_complex_float alpha, + const gsl_vector_complex_float * X, + const gsl_vector_complex_float * Y, + gsl_matrix_complex_float * A); + +int gsl_blas_zhemv (CBLAS_UPLO_t Uplo, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_vector_complex * X, + const gsl_complex beta, + gsl_vector_complex * Y); + +int gsl_blas_zgeru (const gsl_complex alpha, + const gsl_vector_complex * X, + const gsl_vector_complex * Y, + gsl_matrix_complex * A); + +int gsl_blas_zgerc (const gsl_complex alpha, + const gsl_vector_complex * X, + const gsl_vector_complex * Y, + gsl_matrix_complex * A); + +int gsl_blas_zher (CBLAS_UPLO_t Uplo, + double alpha, + const gsl_vector_complex * X, + gsl_matrix_complex * A); + +int gsl_blas_zher2 (CBLAS_UPLO_t Uplo, + const gsl_complex alpha, + const gsl_vector_complex * X, + const gsl_vector_complex * Y, + gsl_matrix_complex * A); + +/* + * =========================================================================== + * Prototypes for level 3 BLAS + * =========================================================================== + */ + +/* + * Routines with standard 4 prefixes (S, D, C, Z) + */ +int gsl_blas_sgemm (CBLAS_TRANSPOSE_t TransA, + CBLAS_TRANSPOSE_t TransB, + float alpha, + const gsl_matrix_float * A, + const gsl_matrix_float * B, + float beta, + gsl_matrix_float * C); + +int gsl_blas_ssymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, + float alpha, + const gsl_matrix_float * A, + const gsl_matrix_float * B, + float beta, + gsl_matrix_float * C); + +int gsl_blas_ssyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, + float alpha, + const gsl_matrix_float * A, + float beta, + gsl_matrix_float * C); + +int gsl_blas_ssyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, + float alpha, + const gsl_matrix_float * A, + const gsl_matrix_float * B, + float beta, + gsl_matrix_float * C); + +int gsl_blas_strmm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + float alpha, + const gsl_matrix_float * A, + gsl_matrix_float * B); + +int gsl_blas_strsm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + float alpha, + const gsl_matrix_float * A, + gsl_matrix_float * B); + +int gsl_blas_dgemm (CBLAS_TRANSPOSE_t TransA, + CBLAS_TRANSPOSE_t TransB, + double alpha, + const gsl_matrix * A, + const gsl_matrix * B, + double beta, + gsl_matrix * C); + +int gsl_blas_dsymm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, + double alpha, + const gsl_matrix * A, + const gsl_matrix * B, + double beta, + gsl_matrix * C); + +int gsl_blas_dsyrk (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + double alpha, + const gsl_matrix * A, + double beta, + gsl_matrix * C); + +int gsl_blas_dsyr2k (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + double alpha, + const gsl_matrix * A, + const gsl_matrix * B, + double beta, + gsl_matrix * C); + +int gsl_blas_dtrmm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + double alpha, + const gsl_matrix * A, + gsl_matrix * B); + +int gsl_blas_dtrsm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + double alpha, + const gsl_matrix * A, + gsl_matrix * B); + +int gsl_blas_cgemm (CBLAS_TRANSPOSE_t TransA, + CBLAS_TRANSPOSE_t TransB, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_matrix_complex_float * B, + const gsl_complex_float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_csymm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_matrix_complex_float * B, + const gsl_complex_float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_csyrk (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_complex_float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_csyr2k (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_matrix_complex_float * B, + const gsl_complex_float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_ctrmm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + gsl_matrix_complex_float * B); + +int gsl_blas_ctrsm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + gsl_matrix_complex_float * B); + +int gsl_blas_zgemm (CBLAS_TRANSPOSE_t TransA, + CBLAS_TRANSPOSE_t TransB, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_matrix_complex * B, + const gsl_complex beta, + gsl_matrix_complex * C); + +int gsl_blas_zsymm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_matrix_complex * B, + const gsl_complex beta, + gsl_matrix_complex * C); + +int gsl_blas_zsyrk (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_complex beta, + gsl_matrix_complex * C); + +int gsl_blas_zsyr2k (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_matrix_complex * B, + const gsl_complex beta, + gsl_matrix_complex *C); + +int gsl_blas_ztrmm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + const gsl_complex alpha, + const gsl_matrix_complex * A, + gsl_matrix_complex * B); + +int gsl_blas_ztrsm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, + CBLAS_DIAG_t Diag, + const gsl_complex alpha, + const gsl_matrix_complex * A, + gsl_matrix_complex * B); + +/* + * Routines with prefixes C and Z only + */ +int gsl_blas_chemm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_matrix_complex_float * B, + const gsl_complex_float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_cherk (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + float alpha, + const gsl_matrix_complex_float * A, + float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_cher2k (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex_float alpha, + const gsl_matrix_complex_float * A, + const gsl_matrix_complex_float * B, + float beta, + gsl_matrix_complex_float * C); + +int gsl_blas_zhemm (CBLAS_SIDE_t Side, + CBLAS_UPLO_t Uplo, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_matrix_complex * B, + const gsl_complex beta, + gsl_matrix_complex * C); + +int gsl_blas_zherk (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + double alpha, + const gsl_matrix_complex * A, + double beta, + gsl_matrix_complex * C); + +int gsl_blas_zher2k (CBLAS_UPLO_t Uplo, + CBLAS_TRANSPOSE_t Trans, + const gsl_complex alpha, + const gsl_matrix_complex * A, + const gsl_matrix_complex * B, + double beta, + gsl_matrix_complex * C); + + +__END_DECLS + +#endif /* __GSL_BLAS_H__ */ |