/usr/include/gmm/gmm_solver_cg.h is in libgmm-dev 4.0.0-0ubuntu1.
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//===========================================================================
//
// Copyright (C) 2002-2008 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.
//
//===========================================================================
// This file is a modified version of cg.h from ITL.
// See http://osl.iu.edu/research/itl/
// Following the corresponding Copyright notice.
//===========================================================================
//
// Copyright (c) 1997-2001, The Trustees of Indiana University.
// 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 the University of California, Berkeley 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 TRUSTEES OF INDIANA UNIVERSITY AND
// CONTRIBUTORS ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING,
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//===========================================================================
/**@file gmm_solver_cg.h
@author Andrew Lumsdaine <lums@osl.iu.edu>
@author Lie-Quan Lee <llee@osl.iu.edu>
@author Yves Renard <Yves.Renard@insa-lyon.fr>
@date October 13, 2002.
@brief Conjugate gradient iterative solver.
*/
#ifndef GMM_SOLVER_CG_H__
#define GMM_SOLVER_CG_H__
#include "gmm_kernel.h"
#include "gmm_iter.h"
namespace gmm {
/* ******************************************************************** */
/* conjugate gradient */
/* (preconditionned, with parametrable additional scalar product) */
/* ******************************************************************** */
template <typename Matrix, typename Matps, typename Precond,
typename Vector1, typename Vector2>
void cg(const Matrix& A, Vector1& x, const Vector2& b, const Matps& PS,
const Precond &P, iteration &iter) {
typedef typename temporary_dense_vector<Vector1>::vector_type temp_vector;
typedef typename linalg_traits<Vector1>::value_type T;
T rho, rho_1(0), a;
temp_vector p(vect_size(x)), q(vect_size(x)), r(vect_size(x)),
z(vect_size(x));
iter.set_rhsnorm(gmm::sqrt(gmm::abs(vect_hp(PS, b, b))));
if (iter.get_rhsnorm() == 0.0)
clear(x);
else {
mult(A, scaled(x, T(-1)), b, r);
mult(P, r, z);
rho = vect_hp(PS, z, r);
copy(z, p);
// #ifdef GMM_USES_MPI
// double t_ref, t_prec = MPI_Wtime(), t_tot = 0;
// static double tmult_tot = 0.0;
// #endif
while (!iter.finished_vect(r)) {
if (!iter.first()) {
mult(P, r, z);
rho = vect_hp(PS, z, r);
add(z, scaled(p, rho / rho_1), p);
}
// #ifdef GMM_USES_MPI
// t_ref = MPI_Wtime();
// cout << "mult CG " << endl;
// #endif
mult(A, p, q);
// #ifdef GMM_USES_MPI
// tmult_tot += MPI_Wtime()-t_ref;
// cout << "tmult_tot CG = " << tmult_tot << endl;
// #endif
a = rho / vect_hp(PS, q, p);
add(scaled(p, a), x);
add(scaled(q, -a), r);
rho_1 = rho;
// #ifdef GMM_USES_MPI
// t_tot = MPI_Wtime() - t_prec;
// cout << "temps CG : " << t_tot << endl;
// #endif
++iter;
}
}
}
template <typename Matrix, typename Matps, typename Precond,
typename Vector1, typename Vector2>
void cg(const Matrix& A, Vector1& x, const Vector2& b, const Matps& PS,
const gmm::identity_matrix &, iteration &iter) {
typedef typename temporary_dense_vector<Vector1>::vector_type temp_vector;
typedef typename linalg_traits<Vector1>::value_type T;
T rho, rho_1(0), a;
temp_vector p(vect_size(x)), q(vect_size(x)), r(vect_size(x));
iter.set_rhsnorm(gmm::sqrt(gmm::abs(vect_hp(PS, b, b))));
if (iter.get_rhsnorm() == 0.0)
clear(x);
else {
mult(A, scaled(x, T(-1)), b, r);
rho = vect_hp(PS, r, r);
copy(r, p);
// #ifdef GMM_USES_MPI
// double t_ref, t_prec = MPI_Wtime(), t_tot = 0;
// static double tmult_tot = 0.0;
// #endif
while (!iter.finished_vect(r)) {
if (!iter.first()) {
rho = vect_hp(PS, r, r);
add(r, scaled(p, rho / rho_1), p);
}
// #ifdef GMM_USES_MPI
// t_ref = MPI_Wtime();
// cout << "mult CG " << endl;
// #endif
mult(A, p, q);
// #ifdef GMM_USES_MPI
// tmult_tot += MPI_Wtime()-t_ref;
// cout << "tmult_tot CG = " << tmult_tot << endl;
// #endif
a = rho / vect_hp(PS, q, p);
add(scaled(p, a), x);
add(scaled(q, -a), r);
rho_1 = rho;
// #ifdef GMM_USES_MPI
// t_tot = MPI_Wtime() - t_prec;
// cout << "temps CG : " << t_tot << endl;
// #endif
++iter;
}
}
}
template <typename Matrix, typename Matps, typename Precond,
typename Vector1, typename Vector2> inline
void cg(const Matrix& A, const Vector1& x, const Vector2& b, const Matps& PS,
const Precond &P, iteration &iter)
{ cg(A, linalg_const_cast(x), b, PS, P, iter); }
template <typename Matrix, typename Precond,
typename Vector1, typename Vector2> inline
void cg(const Matrix& A, Vector1& x, const Vector2& b,
const Precond &P, iteration &iter)
{ cg(A, x , b, identity_matrix(), P, iter); }
template <typename Matrix, typename Precond,
typename Vector1, typename Vector2> inline
void cg(const Matrix& A, const Vector1& x, const Vector2& b,
const Precond &P, iteration &iter)
{ cg(A, x , b , identity_matrix(), P , iter); }
}
#endif // GMM_SOLVER_CG_H__
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