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rAKA/test/test_solver/test_sparse_solver_eigen.cc
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test_sparse_solver_eigen.cc
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/**
* Copyright (©) 2017-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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_eigen.hh"
#include "terms_to_assemble.hh"
/* -------------------------------------------------------------------------- */
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
void genMesh(Mesh & mesh, Int nb_nodes);
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
initialize(argc, argv);
const Int spatial_dimension = 1;
const Int nb_global_dof = 11;
const auto & comm = Communicator::getStaticCommunicator();
Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
Mesh mesh(spatial_dimension);
if (prank == 0) {
genMesh(mesh, nb_global_dof);
RandomGenerator<Idx>::seed(1496137735);
} else {
RandomGenerator<Idx>::seed(2992275470);
}
mesh.distribute();
UInt node = 0;
for (auto pos : mesh.getNodes()) {
std::cout << prank << " " << node << " pos: " << pos << " ["
<< mesh.getNodeGlobalId(node) << "] " << mesh.getNodeFlag(node)
<< std::endl;
++node;
}
Int nb_nodes = mesh.getNbNodes();
DOFManagerDefault dof_manager(mesh, "test_dof_manager");
Array<Real> x(nb_nodes);
x.set(-1);
dof_manager.registerDOFs("x", x, _dst_nodal);
const auto & local_equation_number =
dof_manager.getLocalEquationsNumbers("x");
auto & A = dof_manager.getNewMatrix("A", _symmetric);
Array<Real> b(nb_nodes);
TermsToAssemble terms("x", "x");
for (Int i = 0; i < nb_nodes; ++i) {
if (dof_manager.isLocalOrMasterDOF(i)) {
auto li = local_equation_number(i);
auto gi = dof_manager.localToGlobalEquationNumber(li);
terms(i, i) = 1. / (1. + gi);
}
}
dof_manager.assemblePreassembledMatrix("A", terms);
std::stringstream str;
str << "Matrix_" << prank << ".mtx";
A.saveMatrix(str.str());
for (Int n = 0; n < nb_nodes; ++n) {
b(n) = 1.;
}
SparseSolverEigen solver(dof_manager, "A");
dof_manager.assembleToResidual("x", b);
solver.solve();
Array<Real> & y = dof_manager.getSolution("x");
auto && check = [&](auto && xs) {
debug::setDebugLevel(dblTest);
std::cout << xs << std::endl;
debug::setDebugLevel(dblWarning);
Int d = 1.;
for (auto x : xs) {
if (std::abs(x - d) / d > 1e-15)
AKANTU_EXCEPTION("Error in the solution: " << x << " != " << d << " ["
<< (std::abs(x - d) / d)
<< "].");
++d;
}
};
if (psize > 1) {
auto & sync =
dynamic_cast<DOFManagerDefault &>(dof_manager).getSynchronizer();
if (prank == 0) {
Array<Real> x_gathered(dof_manager.getSystemSize());
sync.gather(y, x_gathered);
check(x_gathered);
} else {
sync.gather(x);
}
} else {
check(y);
}
finalize();
return 0;
}
/* -------------------------------------------------------------------------- */
void genMesh(Mesh & mesh, Int nb_nodes) {
MeshAccessor mesh_accessor(mesh);
Array<Real> & nodes = mesh_accessor.getNodes();
Array<Idx> & conn = mesh_accessor.getConnectivity(_segment_2);
nodes.resize(nb_nodes);
for (Int n = 0; n < nb_nodes; ++n) {
nodes(n, _x) = n * (1. / (nb_nodes - 1));
}
conn.resize(nb_nodes - 1);
for (Int n = 0; n < nb_nodes - 1; ++n) {
conn(n, 0) = n;
conn(n, 1) = n + 1;
}
mesh_accessor.makeReady();
}
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