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//===========================================================================
//
// Copyright (C) 2003-2009 Yves Renard
//
// This file is a part of GETFEM++
//
// Getfem++ is free software; you can redistribute it and/or modify it
// under the terms of the GNU Lesser General Public License as published
// by the Free Software Foundation; either version 2.1 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 Lesser General Public
// License for more details.
// You should have received a copy of the GNU Lesser General Public License
// along with this program; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
//
// As a special exception, you may use this file as it is a part of a free
// software library without restriction. Specifically, if other files
// instantiate templates or use macros or inline functions from this file,
// or you compile this file and link it with other files to produce an
// executable, this file does not by itself cause the resulting executable
// to be covered by the GNU Lesser General Public License. This exception
// does not however invalidate any other reasons why the executable file
// might be covered by the GNU Lesser General Public License.
//
//===========================================================================
/**@file gmm_blas_interface.h
@author Caroline Lecalvez, Caroline.Lecalvez@gmm.insa-tlse.fr,
@author Yves Renard <Yves.Renard@insa-lyon.fr>
@date October 7, 2003.
@brief gmm interface for fortran BLAS.
*/
#if defined(GETFEM_USES_BLAS) || defined(GMM_USES_BLAS) \
|| defined(GMM_USES_LAPACK) || defined(GMM_USES_ATLAS)
#ifndef GMM_BLAS_INTERFACE_H
#define GMM_BLAS_INTERFACE_H
#include "gmm_blas.h"
#include "gmm_interface.h"
#include "gmm_matrix.h"
namespace gmm {
#define GMMLAPACK_TRACE(f)
// #define GMMLAPACK_TRACE(f) cout << "function " << f << " called" << endl;
/* ********************************************************************* */
/* Operations interfaced for T = float, double, std::complex<float> */
/* or std::complex<double> : */
/* */
/* vect_norm2(std::vector<T>) */
/* */
/* vect_sp(std::vector<T>, std::vector<T>) */
/* vect_sp(scaled(std::vector<T>), std::vector<T>) */
/* vect_sp(std::vector<T>, scaled(std::vector<T>)) */
/* vect_sp(scaled(std::vector<T>), scaled(std::vector<T>)) */
/* */
/* vect_hp(std::vector<T>, std::vector<T>) */
/* vect_hp(scaled(std::vector<T>), std::vector<T>) */
/* vect_hp(std::vector<T>, scaled(std::vector<T>)) */
/* vect_hp(scaled(std::vector<T>), scaled(std::vector<T>)) */
/* */
/* add(std::vector<T>, std::vector<T>) */
/* add(scaled(std::vector<T>, a), std::vector<T>) */
/* */
/* mult(dense_matrix<T>, dense_matrix<T>, dense_matrix<T>) */
/* mult(transposed(dense_matrix<T>), dense_matrix<T>, dense_matrix<T>) */
/* mult(dense_matrix<T>, transposed(dense_matrix<T>), dense_matrix<T>) */
/* mult(transposed(dense_matrix<T>), transposed(dense_matrix<T>), */
/* dense_matrix<T>) */
/* mult(conjugated(dense_matrix<T>), dense_matrix<T>, dense_matrix<T>) */
/* mult(dense_matrix<T>, conjugated(dense_matrix<T>), dense_matrix<T>) */
/* mult(conjugated(dense_matrix<T>), conjugated(dense_matrix<T>), */
/* dense_matrix<T>) */
/* */
/* mult(dense_matrix<T>, std::vector<T>, std::vector<T>) */
/* mult(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>) */
/* mult(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>) */
/* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>) */
/* */
/* mult_add(dense_matrix<T>, std::vector<T>, std::vector<T>) */
/* mult_add(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>) */
/* mult_add(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>) */
/* mult_add(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>) */
/* mult_add(transposed(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>) */
/* mult_add(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>) */
/* */
/* mult(dense_matrix<T>, std::vector<T>, std::vector<T>, std::vector<T>) */
/* mult(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>, */
/* std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>, */
/* std::vector<T>) */
/* mult(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>, */
/* std::vector<T>) */
/* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>, std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
/* std::vector<T>, std::vector<T>) */
/* mult(dense_matrix<T>, std::vector<T>, scaled(std::vector<T>), */
/* std::vector<T>) */
/* mult(transposed(dense_matrix<T>), std::vector<T>, */
/* scaled(std::vector<T>), std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), std::vector<T>, */
/* scaled(std::vector<T>), std::vector<T>) */
/* mult(dense_matrix<T>, scaled(std::vector<T>), scaled(std::vector<T>), */
/* std::vector<T>) */
/* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
/* scaled(std::vector<T>), std::vector<T>) */
/* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
/* scaled(std::vector<T>), std::vector<T>) */
/* */
/* lower_tri_solve(dense_matrix<T>, std::vector<T>, k, b) */
/* upper_tri_solve(dense_matrix<T>, std::vector<T>, k, b) */
/* lower_tri_solve(transposed(dense_matrix<T>), std::vector<T>, k, b) */
/* upper_tri_solve(transposed(dense_matrix<T>), std::vector<T>, k, b) */
/* lower_tri_solve(conjugated(dense_matrix<T>), std::vector<T>, k, b) */
/* upper_tri_solve(conjugated(dense_matrix<T>), std::vector<T>, k, b) */
/* */
/* rank_one_update(dense_matrix<T>, std::vector<T>, std::vector<T>) */
/* rank_one_update(dense_matrix<T>, scaled(std::vector<T>), */
/* std::vector<T>) */
/* rank_one_update(dense_matrix<T>, std::vector<T>, */
/* scaled(std::vector<T>)) */
/* */
/* ********************************************************************* */
/* ********************************************************************* */
/* Basic defines. */
/* ********************************************************************* */
# define BLAS_S float
# define BLAS_D double
# define BLAS_C std::complex<float>
# define BLAS_Z std::complex<double>
/* ********************************************************************* */
/* BLAS functions used. */
/* ********************************************************************* */
extern "C" void daxpy_(const int *n, const double *alpha, const double *x, const int *incx, double *y, const int *incy);
extern "C" {
void sgemm_(...); void dgemm_(...); void cgemm_(...); void zgemm_(...);
void sgemv_(...); void dgemv_(...); void cgemv_(...); void zgemv_(...);
void strsv_(...); void dtrsv_(...); void ctrsv_(...); void ztrsv_(...);
void saxpy_(...); /*void daxpy_(...); */void caxpy_(...); void zaxpy_(...);
BLAS_S sdot_ (...); BLAS_D ddot_ (...);
BLAS_C cdotu_(...); BLAS_Z zdotu_(...);
BLAS_C cdotc_(...); BLAS_Z zdotc_(...);
BLAS_S snrm2_(...); BLAS_D dnrm2_(...);
BLAS_S scnrm2_(...); BLAS_D dznrm2_(...);
void sger_(...); void dger_(...); void cgerc_(...); void zgerc_(...);
}
/* ********************************************************************* */
/* vect_norm2(x). */
/* ********************************************************************* */
# define nrm2_interface(param1, trans1, blas_name, base_type) \
inline number_traits<base_type >::magnitude_type \
vect_norm2(param1(base_type)) { \
GMMLAPACK_TRACE("nrm2_interface"); \
int inc(1), n(int(vect_size(x))); trans1(base_type); \
return blas_name(&n, &x[0], &inc); \
}
# define nrm2_p1(base_type) const std::vector<base_type > &x
# define nrm2_trans1(base_type)
nrm2_interface(nrm2_p1, nrm2_trans1, snrm2_ , BLAS_S)
nrm2_interface(nrm2_p1, nrm2_trans1, dnrm2_ , BLAS_D)
nrm2_interface(nrm2_p1, nrm2_trans1, scnrm2_, BLAS_C)
nrm2_interface(nrm2_p1, nrm2_trans1, dznrm2_, BLAS_Z)
/* ********************************************************************* */
/* vect_sp(x, y). */
/* ********************************************************************* */
# define dot_interface(param1, trans1, mult1, param2, trans2, mult2, \
blas_name, base_type) \
inline base_type vect_sp(param1(base_type), param2(base_type)) { \
GMMLAPACK_TRACE("dot_interface"); \
trans1(base_type); trans2(base_type); int inc(1), n(int(vect_size(y)));\
return mult1 mult2 blas_name(&n, &x[0], &inc, &y[0], &inc); \
}
# define dot_p1(base_type) const std::vector<base_type > &x
# define dot_trans1(base_type)
# define dot_p1_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &x_
# define dot_trans1_s(base_type) \
std::vector<base_type > &x = \
const_cast<std::vector<base_type > &>(*(linalg_origin(x_))); \
base_type a(x_.r)
# define dot_p2(base_type) const std::vector<base_type > &y
# define dot_trans2(base_type)
# define dot_p2_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &y_
# define dot_trans2_s(base_type) \
std::vector<base_type > &y = \
const_cast<std::vector<base_type > &>(*(linalg_origin(y_))); \
base_type b(y_.r)
dot_interface(dot_p1, dot_trans1, , dot_p2, dot_trans2, , sdot_ , BLAS_S)
dot_interface(dot_p1, dot_trans1, , dot_p2, dot_trans2, , ddot_ , BLAS_D)
dot_interface(dot_p1, dot_trans1, , dot_p2, dot_trans2, , cdotu_, BLAS_C)
dot_interface(dot_p1, dot_trans1, , dot_p2, dot_trans2, , zdotu_, BLAS_Z)
dot_interface(dot_p1_s, dot_trans1_s, a*, dot_p2, dot_trans2, ,sdot_ ,BLAS_S)
dot_interface(dot_p1_s, dot_trans1_s, a*, dot_p2, dot_trans2, ,ddot_ ,BLAS_D)
dot_interface(dot_p1_s, dot_trans1_s, a*, dot_p2, dot_trans2, ,cdotu_,BLAS_C)
dot_interface(dot_p1_s, dot_trans1_s, a*, dot_p2, dot_trans2, ,zdotu_,BLAS_Z)
dot_interface(dot_p1, dot_trans1, , dot_p2_s, dot_trans2_s, b*,sdot_ ,BLAS_S)
dot_interface(dot_p1, dot_trans1, , dot_p2_s, dot_trans2_s, b*,ddot_ ,BLAS_D)
dot_interface(dot_p1, dot_trans1, , dot_p2_s, dot_trans2_s, b*,cdotu_,BLAS_C)
dot_interface(dot_p1, dot_trans1, , dot_p2_s, dot_trans2_s, b*,zdotu_,BLAS_Z)
dot_interface(dot_p1_s,dot_trans1_s,a*,dot_p2_s,dot_trans2_s,b*,sdot_ ,
BLAS_S)
dot_interface(dot_p1_s,dot_trans1_s,a*,dot_p2_s,dot_trans2_s,b*,ddot_ ,
BLAS_D)
dot_interface(dot_p1_s,dot_trans1_s,a*,dot_p2_s,dot_trans2_s,b*,cdotu_,
BLAS_C)
dot_interface(dot_p1_s,dot_trans1_s,a*,dot_p2_s,dot_trans2_s,b*,zdotu_,
BLAS_Z)
/* ********************************************************************* */
/* vect_hp(x, y). */
/* ********************************************************************* */
# define dotc_interface(param1, trans1, mult1, param2, trans2, mult2, \
blas_name, base_type) \
inline base_type vect_hp(param1(base_type), param2(base_type)) { \
GMMLAPACK_TRACE("dotc_interface"); \
trans1(base_type); trans2(base_type); int inc(1), n(int(vect_size(y)));\
return mult1 mult2 blas_name(&n, &x[0], &inc, &y[0], &inc); \
}
# define dotc_p1(base_type) const std::vector<base_type > &x
# define dotc_trans1(base_type)
# define dotc_p1_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &x_
# define dotc_trans1_s(base_type) \
std::vector<base_type > &x = \
const_cast<std::vector<base_type > &>(*(linalg_origin(x_))); \
base_type a(x_.r)
# define dotc_p2(base_type) const std::vector<base_type > &y
# define dotc_trans2(base_type)
# define dotc_p2_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &y_
# define dotc_trans2_s(base_type) \
std::vector<base_type > &y = \
const_cast<std::vector<base_type > &>(*(linalg_origin(y_))); \
base_type b(gmm::conj(y_.r))
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2, dotc_trans2, ,sdot_ ,BLAS_S)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2, dotc_trans2, ,ddot_ ,BLAS_D)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2, dotc_trans2, ,cdotc_,BLAS_C)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2, dotc_trans2, ,zdotc_,BLAS_Z)
dotc_interface(dotc_p1_s, dotc_trans1_s, a*, dotc_p2, dotc_trans2, ,sdot_,
BLAS_S)
dotc_interface(dotc_p1_s, dotc_trans1_s, a*, dotc_p2, dotc_trans2, ,ddot_ ,
BLAS_D)
dotc_interface(dotc_p1_s, dotc_trans1_s, a*, dotc_p2, dotc_trans2, ,cdotc_,
BLAS_C)
dotc_interface(dotc_p1_s, dotc_trans1_s, a*, dotc_p2, dotc_trans2, ,zdotc_,
BLAS_Z)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2_s, dotc_trans2_s, b*,sdot_ ,
BLAS_S)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2_s, dotc_trans2_s, b*,ddot_ ,
BLAS_D)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2_s, dotc_trans2_s, b*,cdotc_,
BLAS_C)
dotc_interface(dotc_p1, dotc_trans1, , dotc_p2_s, dotc_trans2_s, b*,zdotc_,
BLAS_Z)
dotc_interface(dotc_p1_s,dotc_trans1_s,a*,dotc_p2_s,dotc_trans2_s,b*,sdot_ ,
BLAS_S)
dotc_interface(dotc_p1_s,dotc_trans1_s,a*,dotc_p2_s,dotc_trans2_s,b*,ddot_ ,
BLAS_D)
dotc_interface(dotc_p1_s,dotc_trans1_s,a*,dotc_p2_s,dotc_trans2_s,b*,cdotc_,
BLAS_C)
dotc_interface(dotc_p1_s,dotc_trans1_s,a*,dotc_p2_s,dotc_trans2_s,b*,zdotc_,
BLAS_Z)
/* ********************************************************************* */
/* add(x, y). */
/* ********************************************************************* */
# define axpy_interface(param1, trans1, blas_name, base_type) \
inline void add(param1(base_type), std::vector<base_type > &y) { \
GMMLAPACK_TRACE("axpy_interface"); \
int inc(1), n(int(vect_size(y))); trans1(base_type); \
blas_name(&n, &a, &x[0], &inc, &y[0], &inc); \
}
# define axpy_p1(base_type) const std::vector<base_type > &x
# define axpy_trans1(base_type) base_type a(1)
# define axpy_p1_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &x_
# define axpy_trans1_s(base_type) \
std::vector<base_type > &x = \
const_cast<std::vector<base_type > &>(*(linalg_origin(x_))); \
base_type a(x_.r)
axpy_interface(axpy_p1, axpy_trans1, saxpy_, BLAS_S)
axpy_interface(axpy_p1, axpy_trans1, daxpy_, BLAS_D)
axpy_interface(axpy_p1, axpy_trans1, caxpy_, BLAS_C)
axpy_interface(axpy_p1, axpy_trans1, zaxpy_, BLAS_Z)
axpy_interface(axpy_p1_s, axpy_trans1_s, saxpy_, BLAS_S)
axpy_interface(axpy_p1_s, axpy_trans1_s, daxpy_, BLAS_D)
axpy_interface(axpy_p1_s, axpy_trans1_s, caxpy_, BLAS_C)
axpy_interface(axpy_p1_s, axpy_trans1_s, zaxpy_, BLAS_Z)
/* ********************************************************************* */
/* mult_add(A, x, z). */
/* ********************************************************************* */
# define gemv_interface(param1, trans1, param2, trans2, blas_name, \
base_type, orien) \
inline void mult_add_spec(param1(base_type), param2(base_type), \
std::vector<base_type > &z, orien) { \
GMMLAPACK_TRACE("gemv_interface"); \
trans1(base_type); trans2(base_type); base_type beta(1); \
int m(int(mat_nrows(A))), lda(m), n(int(mat_ncols(A))), inc(1); \
if (m && n) blas_name(&t, &m, &n, &alpha, &A(0,0), &lda, &x[0], &inc, \
&beta, &z[0], &inc); \
else gmm::clear(z); \
}
// First parameter
# define gem_p1_n(base_type) const dense_matrix<base_type > &A
# define gem_trans1_n(base_type) const char t = 'N'
# define gem_p1_t(base_type) \
const transposed_col_ref<dense_matrix<base_type > *> &A_
# define gem_trans1_t(base_type) dense_matrix<base_type > &A = \
const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
const char t = 'T'
# define gem_p1_tc(base_type) \
const transposed_col_ref<const dense_matrix<base_type > *> &A_
# define gem_p1_c(base_type) \
const conjugated_col_matrix_const_ref<dense_matrix<base_type > > &A_
# define gem_trans1_c(base_type) dense_matrix<base_type > &A = \
const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
const char t = 'C'
// second parameter
# define gemv_p2_n(base_type) const std::vector<base_type > &x
# define gemv_trans2_n(base_type) base_type alpha(1)
# define gemv_p2_s(base_type) \
const scaled_vector_const_ref<std::vector<base_type >, base_type > &x_
# define gemv_trans2_s(base_type) std::vector<base_type > &x = \
const_cast<std::vector<base_type > &>(*(linalg_origin(x_))); \
base_type alpha(x_.r)
// Z <- AX + Z.
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, col_major)
// Z <- transposed(A)X + Z.
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Z <- transposed(const A)X + Z.
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Z <- conjugated(A)X + Z.
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Z <- A scaled(X) + Z.
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, col_major)
gemv_interface(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, col_major)
// Z <- transposed(A) scaled(X) + Z.
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
// Z <- transposed(const A) scaled(X) + Z.
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
// Z <- conjugated(A) scaled(X) + Z.
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
/* ********************************************************************* */
/* mult(A, x, y). */
/* ********************************************************************* */
# define gemv_interface2(param1, trans1, param2, trans2, blas_name, \
base_type, orien) \
inline void mult_spec(param1(base_type), param2(base_type), \
std::vector<base_type > &z, orien) { \
GMMLAPACK_TRACE("gemv_interface2"); \
trans1(base_type); trans2(base_type); base_type beta(0); \
int m(int(mat_nrows(A))), lda(m), n(int(mat_ncols(A))), inc(1); \
if (m && n) \
blas_name(&t, &m, &n, &alpha, &A(0,0), &lda, &x[0], &inc, &beta, \
&z[0], &inc); \
else gmm::clear(z); \
}
// Y <- AX.
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, col_major)
// Y <- transposed(A)X.
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Y <- transposed(const A)X.
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Y <- conjugated(A)X.
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_n, gemv_trans2_n, zgemv_,
BLAS_Z, row_major)
// Y <- A scaled(X).
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, col_major)
gemv_interface2(gem_p1_n, gem_trans1_n, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, col_major)
// Y <- transposed(A) scaled(X).
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_t, gem_trans1_t, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
// Y <- transposed(const A) scaled(X).
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_tc, gem_trans1_t, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
// Y <- conjugated(A) scaled(X).
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, sgemv_,
BLAS_S, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, dgemv_,
BLAS_D, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, cgemv_,
BLAS_C, row_major)
gemv_interface2(gem_p1_c, gem_trans1_c, gemv_p2_s, gemv_trans2_s, zgemv_,
BLAS_Z, row_major)
/* ********************************************************************* */
/* Rank one update. */
/* ********************************************************************* */
# define ger_interface(blas_name, base_type) \
inline void rank_one_update(const dense_matrix<base_type > &A, \
const std::vector<base_type > &V, \
const std::vector<base_type > &W) { \
GMMLAPACK_TRACE("ger_interface"); \
int m(int(mat_nrows(A))), lda = m, n(int(mat_ncols(A))); \
int incx = 1, incy = 1; \
base_type alpha(1); \
if (m && n) \
blas_name(&m, &n, &alpha, &V[0], &incx, &W[0], &incy, &A(0,0), &lda);\
}
ger_interface(sger_, BLAS_S)
ger_interface(dger_, BLAS_D)
ger_interface(cgerc_, BLAS_C)
ger_interface(zgerc_, BLAS_Z)
# define ger_interface_sn(blas_name, base_type) \
inline void rank_one_update(const dense_matrix<base_type > &A, \
gemv_p2_s(base_type), \
const std::vector<base_type > &W) { \
GMMLAPACK_TRACE("ger_interface"); \
gemv_trans2_s(base_type); \
int m(int(mat_nrows(A))), lda = m, n(int(mat_ncols(A))); \
int incx = 1, incy = 1; \
if (m && n) \
blas_name(&m, &n, &alpha, &x[0], &incx, &W[0], &incy, &A(0,0), &lda);\
}
ger_interface_sn(sger_, BLAS_S)
ger_interface_sn(dger_, BLAS_D)
ger_interface_sn(cgerc_, BLAS_C)
ger_interface_sn(zgerc_, BLAS_Z)
# define ger_interface_ns(blas_name, base_type) \
inline void rank_one_update(const dense_matrix<base_type > &A, \
const std::vector<base_type > &V, \
gemv_p2_s(base_type)) { \
GMMLAPACK_TRACE("ger_interface"); \
gemv_trans2_s(base_type); \
int m(int(mat_nrows(A))), lda = m, n(int(mat_ncols(A))); \
int incx = 1, incy = 1; \
base_type al2 = gmm::conj(alpha); \
if (m && n) \
blas_name(&m, &n, &al2, &V[0], &incx, &x[0], &incy, &A(0,0), &lda); \
}
ger_interface_ns(sger_, BLAS_S)
ger_interface_ns(dger_, BLAS_D)
ger_interface_ns(cgerc_, BLAS_C)
ger_interface_ns(zgerc_, BLAS_Z)
/* ********************************************************************* */
/* dense matrix x dense matrix multiplication. */
/* ********************************************************************* */
# define gemm_interface_nn(blas_name, base_type) \
inline void mult_spec(const dense_matrix<base_type > &A, \
const dense_matrix<base_type > &B, \
dense_matrix<base_type > &C, c_mult) { \
GMMLAPACK_TRACE("gemm_interface_nn"); \
const char t = 'N'; \
int m(int(mat_nrows(A))), lda = m, k(int(mat_ncols(A))); \
int n(int(mat_ncols(B))); \
int ldb = k, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &t, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_nn(sgemm_, BLAS_S)
gemm_interface_nn(dgemm_, BLAS_D)
gemm_interface_nn(cgemm_, BLAS_C)
gemm_interface_nn(zgemm_, BLAS_Z)
/* ********************************************************************* */
/* transposed(dense matrix) x dense matrix multiplication. */
/* ********************************************************************* */
# define gemm_interface_tn(blas_name, base_type, is_const) \
inline void mult_spec( \
const transposed_col_ref<is_const dense_matrix<base_type > *> &A_,\
const dense_matrix<base_type > &B, \
dense_matrix<base_type > &C, rcmult) { \
GMMLAPACK_TRACE("gemm_interface_tn"); \
dense_matrix<base_type > &A \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
const char t = 'T', u = 'N'; \
int m(int(mat_ncols(A))), k(int(mat_nrows(A))), n(int(mat_ncols(B))); \
int lda = k, ldb = k, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_tn(sgemm_, BLAS_S,)
gemm_interface_tn(dgemm_, BLAS_D,)
gemm_interface_tn(cgemm_, BLAS_C,)
gemm_interface_tn(zgemm_, BLAS_Z,)
gemm_interface_tn(sgemm_, BLAS_S, const)
gemm_interface_tn(dgemm_, BLAS_D, const)
gemm_interface_tn(cgemm_, BLAS_C, const)
gemm_interface_tn(zgemm_, BLAS_Z, const)
/* ********************************************************************* */
/* dense matrix x transposed(dense matrix) multiplication. */
/* ********************************************************************* */
# define gemm_interface_nt(blas_name, base_type, is_const) \
inline void mult_spec(const dense_matrix<base_type > &A, \
const transposed_col_ref<is_const dense_matrix<base_type > *> &B_,\
dense_matrix<base_type > &C, r_mult) { \
GMMLAPACK_TRACE("gemm_interface_nt"); \
dense_matrix<base_type > &B \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(B_))); \
const char t = 'N', u = 'T'; \
int m(int(mat_nrows(A))), lda = m, k(int(mat_ncols(A))); \
int n(int(mat_nrows(B))); \
int ldb = n, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_nt(sgemm_, BLAS_S,)
gemm_interface_nt(dgemm_, BLAS_D,)
gemm_interface_nt(cgemm_, BLAS_C,)
gemm_interface_nt(zgemm_, BLAS_Z,)
gemm_interface_nt(sgemm_, BLAS_S, const)
gemm_interface_nt(dgemm_, BLAS_D, const)
gemm_interface_nt(cgemm_, BLAS_C, const)
gemm_interface_nt(zgemm_, BLAS_Z, const)
/* ********************************************************************* */
/* transposed(dense matrix) x transposed(dense matrix) multiplication. */
/* ********************************************************************* */
# define gemm_interface_tt(blas_name, base_type, isA_const, isB_const) \
inline void mult_spec( \
const transposed_col_ref<isA_const dense_matrix<base_type > *> &A_,\
const transposed_col_ref<isB_const dense_matrix<base_type > *> &B_,\
dense_matrix<base_type > &C, r_mult) { \
GMMLAPACK_TRACE("gemm_interface_tt"); \
dense_matrix<base_type > &A \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
dense_matrix<base_type > &B \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(B_))); \
const char t = 'T', u = 'T'; \
int m(int(mat_ncols(A))), k(int(mat_nrows(A))), n(int(mat_nrows(B))); \
int lda = k, ldb = n, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_tt(sgemm_, BLAS_S,,)
gemm_interface_tt(dgemm_, BLAS_D,,)
gemm_interface_tt(cgemm_, BLAS_C,,)
gemm_interface_tt(zgemm_, BLAS_Z,,)
gemm_interface_tt(sgemm_, BLAS_S, const,)
gemm_interface_tt(dgemm_, BLAS_D, const,)
gemm_interface_tt(cgemm_, BLAS_C, const,)
gemm_interface_tt(zgemm_, BLAS_Z, const,)
gemm_interface_tt(sgemm_, BLAS_S,, const)
gemm_interface_tt(dgemm_, BLAS_D,, const)
gemm_interface_tt(cgemm_, BLAS_C,, const)
gemm_interface_tt(zgemm_, BLAS_Z,, const)
gemm_interface_tt(sgemm_, BLAS_S, const, const)
gemm_interface_tt(dgemm_, BLAS_D, const, const)
gemm_interface_tt(cgemm_, BLAS_C, const, const)
gemm_interface_tt(zgemm_, BLAS_Z, const, const)
/* ********************************************************************* */
/* conjugated(dense matrix) x dense matrix multiplication. */
/* ********************************************************************* */
# define gemm_interface_cn(blas_name, base_type) \
inline void mult_spec( \
const conjugated_col_matrix_const_ref<dense_matrix<base_type > > &A_,\
const dense_matrix<base_type > &B, \
dense_matrix<base_type > &C, rcmult) { \
GMMLAPACK_TRACE("gemm_interface_cn"); \
dense_matrix<base_type > &A \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
const char t = 'C', u = 'N'; \
int m(int(mat_ncols(A))), k(int(mat_nrows(A))), n(int(mat_ncols(B))); \
int lda = k, ldb = k, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_cn(sgemm_, BLAS_S)
gemm_interface_cn(dgemm_, BLAS_D)
gemm_interface_cn(cgemm_, BLAS_C)
gemm_interface_cn(zgemm_, BLAS_Z)
/* ********************************************************************* */
/* dense matrix x conjugated(dense matrix) multiplication. */
/* ********************************************************************* */
# define gemm_interface_nc(blas_name, base_type) \
inline void mult_spec(const dense_matrix<base_type > &A, \
const conjugated_col_matrix_const_ref<dense_matrix<base_type > > &B_,\
dense_matrix<base_type > &C, c_mult, row_major) { \
GMMLAPACK_TRACE("gemm_interface_nc"); \
dense_matrix<base_type > &B \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(B_))); \
const char t = 'N', u = 'C'; \
int m(int(mat_nrows(A))), lda = m, k(int(mat_ncols(A))); \
int n(int(mat_nrows(B))), ldb = n, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_nc(sgemm_, BLAS_S)
gemm_interface_nc(dgemm_, BLAS_D)
gemm_interface_nc(cgemm_, BLAS_C)
gemm_interface_nc(zgemm_, BLAS_Z)
/* ********************************************************************* */
/* conjugated(dense matrix) x conjugated(dense matrix) multiplication. */
/* ********************************************************************* */
# define gemm_interface_cc(blas_name, base_type) \
inline void mult_spec( \
const conjugated_col_matrix_const_ref<dense_matrix<base_type > > &A_,\
const conjugated_col_matrix_const_ref<dense_matrix<base_type > > &B_,\
dense_matrix<base_type > &C, r_mult) { \
GMMLAPACK_TRACE("gemm_interface_cc"); \
dense_matrix<base_type > &A \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(A_))); \
dense_matrix<base_type > &B \
= const_cast<dense_matrix<base_type > &>(*(linalg_origin(B_))); \
const char t = 'C', u = 'C'; \
int m(int(mat_ncols(A))), k(int(mat_nrows(A))), lda = k; \
int n(int(mat_nrows(B))), ldb = n, ldc = m; \
base_type alpha(1), beta(0); \
if (m && k && n) \
blas_name(&t, &u, &m, &n, &k, &alpha, \
&A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
else gmm::clear(C); \
}
gemm_interface_cc(sgemm_, BLAS_S)
gemm_interface_cc(dgemm_, BLAS_D)
gemm_interface_cc(cgemm_, BLAS_C)
gemm_interface_cc(zgemm_, BLAS_Z)
/* ********************************************************************* */
/* Tri solve. */
/* ********************************************************************* */
# define trsv_interface(f_name, loru, param1, trans1, blas_name, base_type)\
inline void f_name(param1(base_type), std::vector<base_type > &x, \
size_type k, bool is_unit) { \
GMMLAPACK_TRACE("trsv_interface"); \
loru; trans1(base_type); char d = is_unit ? 'U' : 'N'; \
int lda(int(mat_nrows(A))), inc(1), n = int(k); \
if (lda) blas_name(&l, &t, &d, &n, &A(0,0), &lda, &x[0], &inc); \
}
# define trsv_upper const char l = 'U'
# define trsv_lower const char l = 'L'
// X <- LOWER(A)^{-1}X.
trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
strsv_, BLAS_S)
trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
dtrsv_, BLAS_D)
trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
ctrsv_, BLAS_C)
trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
ztrsv_, BLAS_Z)
// X <- UPPER(A)^{-1}X.
trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
strsv_, BLAS_S)
trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
dtrsv_, BLAS_D)
trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
ctrsv_, BLAS_C)
trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
ztrsv_, BLAS_Z)
// X <- LOWER(transposed(A))^{-1}X.
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
strsv_, BLAS_S)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
dtrsv_, BLAS_D)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
ctrsv_, BLAS_C)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
ztrsv_, BLAS_Z)
// X <- UPPER(transposed(A))^{-1}X.
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
strsv_, BLAS_S)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
dtrsv_, BLAS_D)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
ctrsv_, BLAS_C)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
ztrsv_, BLAS_Z)
// X <- LOWER(transposed(const A))^{-1}X.
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
strsv_, BLAS_S)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
dtrsv_, BLAS_D)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
ctrsv_, BLAS_C)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
ztrsv_, BLAS_Z)
// X <- UPPER(transposed(const A))^{-1}X.
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
strsv_, BLAS_S)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
dtrsv_, BLAS_D)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
ctrsv_, BLAS_C)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
ztrsv_, BLAS_Z)
// X <- LOWER(conjugated(A))^{-1}X.
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
strsv_, BLAS_S)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
dtrsv_, BLAS_D)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
ctrsv_, BLAS_C)
trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
ztrsv_, BLAS_Z)
// X <- UPPER(conjugated(A))^{-1}X.
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
strsv_, BLAS_S)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
dtrsv_, BLAS_D)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
ctrsv_, BLAS_C)
trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
ztrsv_, BLAS_Z)
}
#endif // GMM_BLAS_INTERFACE_H
#endif // GMM_USES_BLAS
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