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rAKA/test/test_fem/test_integrate.cc
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test_integrate.cc
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/**
* @file test_integrate.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 17 2011
* @date last modification: Thu Jun 05 2014
*
* @brief test of the fem class
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 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 "fe_engine.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
#include "shape_lagrange.hh"
#include "integrator_gauss.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
int main(int argc, char *argv[]) {
akantu::initialize(argc, argv);
debug::setDebugLevel(dblTest);
const ElementType type = TYPE;
UInt dim = ElementClass<type>::getSpatialDimension();
Real eps = 3e-13;
std::cout << "Epsilon : " << eps << std::endl;
MeshIOMSH mesh_io;
Mesh my_mesh(dim);
std::stringstream meshfilename; meshfilename << type << ".msh";
mesh_io.read(meshfilename.str(), my_mesh);
FEEngine *fem = new FEEngineTemplate<IntegratorGauss,ShapeLagrange>(my_mesh, dim, "my_fem");
std::stringstream outfilename; outfilename << "out_" << type << ".txt";
std::ofstream my_file(outfilename.str().c_str());
fem->initShapeFunctions();
std::cout << *fem << std::endl;
UInt nb_element = my_mesh.getNbElement(type);
UInt nb_quadrature_points = fem->getNbQuadraturePoints(type) * nb_element;
Array<Real> const_val(fem->getMesh().getNbNodes(), 2, "const_val");
Array<Real> val_on_quad(nb_quadrature_points, 2 , "val_on_quad");
for (UInt i = 0; i < const_val.getSize(); ++i) {
const_val.storage()[i * 2 + 0] = 1.;
const_val.storage()[i * 2 + 1] = 2.;
}
//interpolate function on quadrature points
fem->interpolateOnQuadraturePoints(const_val, val_on_quad, 2, type);
//integrate function on elements
akantu::Array<akantu::Real> int_val_on_elem(nb_element, 2, "int_val_on_elem");
fem->integrate(val_on_quad, int_val_on_elem, 2, type);
// get global integration value
Real value[2] = {0,0};
my_file << val_on_quad << std::endl << int_val_on_elem << std::endl;
for (UInt i = 0; i < fem->getMesh().getNbElement(type); ++i) {
value[0] += int_val_on_elem.storage()[2*i];
value[1] += int_val_on_elem.storage()[2*i+1];
}
my_file << "integral on the mesh of 1 is " << value[0] << " and of 2 is " << value[1] << std::endl;
delete fem;
finalize();
if(!(std::abs(value[0] - 1.) < eps && std::abs(value[1] - 2.) < eps)) {
std::cout << "|1 - " << value[0] << "| = " << std::abs(value[0] - 1.) << std::endl
<< "|2 - " << value[1] << "| = " << std::abs(value[1] - 2.) << std::endl;
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
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