/usr/include/gmm/gmm_precond_diagonal.h is in libgmm-dev 4.0.0-0ubuntu1.
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//===========================================================================
//
// Copyright (C) 2003-2008 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_precond_diagonal.h
@author Yves Renard <Yves.Renard@insa-lyon.fr>
@date June 5, 2003.
@brief Diagonal matrix preconditoner.
*/
#ifndef GMM_PRECOND_DIAGONAL_H
#define GMM_PRECOND_DIAGONAL_H
#include "gmm_precond.h"
namespace gmm {
/** Diagonal preconditioner. */
template<typename Matrix> struct diagonal_precond {
typedef typename linalg_traits<Matrix>::value_type value_type;
typedef typename number_traits<value_type>::magnitude_type magnitude_type;
std::vector<magnitude_type> diag;
void build_with(const Matrix &M) {
diag.resize(mat_nrows(M));
for (size_type i = 0; i < mat_nrows(M); ++i) {
magnitude_type x = gmm::abs(M(i, i));
if (x == magnitude_type(0)) {
x = magnitude_type(1);
GMM_WARNING2("The matrix has a zero on its diagonal");
}
diag[i] = magnitude_type(1) / x;
}
}
size_type memsize() const { return sizeof(*this) + diag.size() * sizeof(value_type); }
diagonal_precond(const Matrix &M) { build_with(M); }
diagonal_precond(void) {}
};
template <typename Matrix, typename V2> inline
void mult_diag_p(const diagonal_precond<Matrix>& P, V2 &v2, abstract_sparse){
typename linalg_traits<V2>::iterator it = vect_begin(v2),
ite = vect_end(v2);
for (; it != ite; ++it) *it *= P.diag[it.index()];
}
template <typename Matrix, typename V2> inline
void mult_diag_p(const diagonal_precond<Matrix>& P,V2 &v2, abstract_skyline)
{ mult_diag_p(P, v2, abstract_sparse()); }
template <typename Matrix, typename V2> inline
void mult_diag_p(const diagonal_precond<Matrix>& P, V2 &v2, abstract_dense){
for (size_type i = 0; i < P.diag.size(); ++i) v2[i] *= P.diag[i];
}
template <typename Matrix, typename V1, typename V2> inline
void mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
GMM_ASSERT2(P.diag.size() == vect_size(v2),"dimensions mismatch");
copy(v1, v2);
mult_diag_p(P, v2, typename linalg_traits<V2>::storage_type());
}
template <typename Matrix, typename V1, typename V2> inline
void transposed_mult(const diagonal_precond<Matrix>& P,const V1 &v1,V2 &v2) {
mult(P, v1, v2);
}
// # define DIAG_LEFT_MULT_SQRT
template <typename Matrix, typename V1, typename V2> inline
void left_mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
GMM_ASSERT2(P.diag.size() == vect_size(v2), "dimensions mismatch");
copy(v1, v2);
# ifdef DIAG_LEFT_MULT_SQRT
for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= gmm::sqrt(P.diag[i]);
# else
for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= P.diag[i];
# endif
}
template <typename Matrix, typename V1, typename V2> inline
void transposed_left_mult(const diagonal_precond<Matrix>& P,
const V1 &v1, V2 &v2)
{ left_mult(P, v1, v2); }
template <typename Matrix, typename V1, typename V2> inline
void right_mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
typedef typename linalg_traits<Matrix>::value_type T;
GMM_ASSERT2(P.diag.size() == vect_size(v2), "dimensions mismatch");
copy(v1, v2);
# ifdef DIAG_LEFT_MULT_SQRT
for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= gmm::sqrt(P.diag[i]);
# endif
}
template <typename Matrix, typename V1, typename V2> inline
void transposed_right_mult(const diagonal_precond<Matrix>& P,
const V1 &v1, V2 &v2)
{ right_mult(P, v1, v2); }
}
#endif
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