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rAKA/test/test_solver/test_sparse_solver_mumps.cc
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test_sparse_solver_mumps.cc
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/**
* @file test_sparse_matrix_product.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 17 2011
* @date last modification: Sun Oct 19 2014
*
* @brief test the matrix vector product in parallel
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Akantu 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 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "dof_synchronizer.hh"
#include "element_synchronizer.hh"
#include "mesh.hh"
#include "mesh_accessor.hh"
#include "mesh_partition_scotch.hh"
#include "sparse_matrix_aij.hh"
#include "sparse_solver_mumps.hh"
/* -------------------------------------------------------------------------- */
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
void genMesh(Mesh & mesh, UInt nb_nodes);
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
initialize(argc, argv);
const UInt spatial_dimension = 1;
const UInt nb_global_dof = 100;
StaticCommunicator & comm =
akantu::StaticCommunicator::getStaticCommunicator();
// Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
Mesh mesh(spatial_dimension);
if (prank == 0)
genMesh(mesh, nb_global_dof);
mesh.distribute();
UInt nb_nodes = mesh.getNbNodes();
DOFManagerDefault dof_manager(mesh, "test_dof_manager");
Array<Real> x(nb_nodes);
dof_manager.registerDOFs("x", x, _dst_nodal);
Array<UInt> local_equation_number(nb_nodes);
dof_manager.getEquationsNumbers("x", local_equation_number);
auto & A = dof_manager.getNewMatrix("A", _symmetric);
Array<Real> b(nb_nodes);
for (UInt i = 0; i < nb_nodes; ++i) {
if (dof_manager.isLocalOrMasterDOF(i)) {
UInt eqn = local_equation_number(i);
A.addToMatrix(eqn, eqn, 1. / (eqn+1));
}
}
std::stringstream str;
str << "Matrix_" << prank << ".mtx";
A.saveMatrix(str.str());
for (UInt n = 0; n < nb_nodes; ++n) {
b(n) = 1.;
}
SparseSolverMumps solver(dof_manager, "A");
solver.solve(x, b);
auto & sync =
dynamic_cast<DOFManagerDefault &>(dof_manager).getSynchronizer();
if (prank == 0) {
Array<Real> x_gathered(dof_manager.getSystemSize());
sync.gather(x, x_gathered);
debug::setDebugLevel(dblTest);
std::cout << x_gathered << std::endl;
debug::setDebugLevel(dblWarning);
UInt d = 1.;
for(auto x : x_gathered) {
if ( std::abs(x - d)/d > 1e-15 ) AKANTU_EXCEPTION("Error in the solution");
++d;
}
} else {
sync.gather(x);
}
finalize();
return 0;
}
/* -------------------------------------------------------------------------- */
void genMesh(Mesh & mesh, UInt nb_nodes) {
MeshAccessor mesh_accessor(mesh);
Array<Real> & nodes = mesh_accessor.getNodes();
Array<UInt> & conn = mesh_accessor.getConnectivity(_segment_2);
nodes.resize(nb_nodes);
for (UInt n = 0; n < nb_nodes; ++n) {
nodes(n, _x) = n * (1. / (nb_nodes - 1));
}
conn.resize(nb_nodes - 1);
for (UInt n = 0; n < nb_nodes - 1; ++n) {
conn(n, 0) = n;
conn(n, 1) = n + 1;
}
}
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