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+/* blas/gsl_blas.h
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at
+ * your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 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__ */
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