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rAKA/test/test_fem/test_inverse_map.cc
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test_inverse_map.cc
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/**
* @file test_inverse_map.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date creation: Fri May 25 2012
* @date last modification: Tue Sep 02 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();
MeshIOMSH mesh_io;
Mesh my_mesh(dim);
my_mesh.computeBoundingBox();
const Vector<Real> & lower = my_mesh.getLowerBounds();
const Vector<Real> & upper = my_mesh.getUpperBounds();
std::stringstream meshfilename; meshfilename << type << ".msh";
mesh_io.read(meshfilename.str(), my_mesh);
UInt nb_elements = my_mesh.getNbElement(type);
///
FEEngineTemplate<IntegratorGauss,ShapeLagrange> *fem =
new FEEngineTemplate<IntegratorGauss,ShapeLagrange>(my_mesh, dim, "my_fem");
fem->initShapeFunctions();
UInt nb_quad_points = fem->getNbQuadraturePoints(type);
/// get the quadrature points coordinates
Array<Real> coord_on_quad(nb_quad_points*nb_elements,
my_mesh.getSpatialDimension(),
"coord_on_quad");
fem->interpolateOnQuadraturePoints(my_mesh.getNodes(),
coord_on_quad,
my_mesh.getSpatialDimension(),
type);
/// loop over the quadrature points
Array<Real>::iterator< Vector<Real> > it = coord_on_quad.begin(dim);
Vector<Real> natural_coords(dim);
Matrix<Real> quad = GaussIntegrationElement<type>::getQuadraturePoints();
for(UInt el = 0 ; el < nb_elements ; ++el){
for(UInt q = 0 ; q < nb_quad_points ; ++q){
fem->inverseMap(*it, el, type, natural_coords);
for (UInt i = 0; i < dim; ++i) {
__attribute__ ((unused)) const Real eps = 1e-13;
AKANTU_DEBUG_ASSERT(std::abs((natural_coords(i) - quad(i,q))/(upper(i)-lower(i))) < eps,
"real coordinates inversion test failed:"
<< natural_coords(i) << " - " << quad(i, q)
<< " = " << (natural_coords(i) - quad(i, q))/(upper(i)-lower(i)));
}
++it;
}
}
std::cout << "inverse completed over " << nb_elements << " elements" << std::endl;
delete fem;
finalize();
return EXIT_SUCCESS;
}
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