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rAKA/test/test_fem/test_gradient_quadrangle_4.cc
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test_gradient_quadrangle_4.cc
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/**
* @file test_gradient_quadrangle_4.cc
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Mon Jul 19 10:55:49 2010
*
* @brief test of the fem class
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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 <cstdlib>
#include <fstream>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "fem.hh"
#include "integrator_gauss.hh"
#include "shape_lagrange.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
int main(int argc, char *argv[]) {
ElementType type = _quadrangle_4;
UInt dim = 2;
MeshIOMSH mesh_io;
Mesh my_mesh(dim);
mesh_io.read("square_structured1.msh", my_mesh);
FEMTemplate<IntegratorGauss,ShapeLagrange> fem(my_mesh, dim, "my_fem");
debug::setDebugLevel(dblDump);
fem.initShapeFunctions();
std::cout << fem << std::endl;
Vector<Real> const_val(fem.getMesh().getNbNodes(), 2, "const_val");
Vector<Real> grad_on_quad(0, 2 * dim, "grad_on_quad");
for (UInt i = 0; i < const_val.getSize(); ++i) {
const_val.values[i * 2 + 0] = 1.;
const_val.values[i * 2 + 1] = 2.;
}
fem.gradientOnQuadraturePoints(const_val, grad_on_quad, 2, type);
std::ofstream my_file("out.txt");
my_file << const_val << std::endl;
my_file << grad_on_quad << std::endl;
// compute gradient of coordinates
Vector<Real> grad_coord_on_quad(0, dim * dim, "grad_coord_on_quad");
fem.gradientOnQuadraturePoints(my_mesh.getNodes(), grad_coord_on_quad, my_mesh.getSpatialDimension(), type);
my_file << my_mesh.getNodes() << std::endl;
my_file << grad_coord_on_quad << std::endl;
UInt nb_quads = my_mesh.getNbElement(type) * fem.getNbQuadraturePoints(type);
Real eps = 25 * std::numeric_limits<Real>::epsilon();
std::cout << "Epsilon : " << eps << std::endl;
for (UInt q = 0; q < nb_quads; ++q) {
for (UInt i = 0; i < dim; ++i) {
for (UInt j = 0; j < dim; ++j) {
if(!(fabs(grad_coord_on_quad.values[q*dim*dim+ i*dim + j] - (i == j)) <= eps)) {
std::cerr << "Error on the quad point " << q << std::endl;
for (UInt oi = 0; oi < dim; ++oi) {
for (UInt oj = 0; oj < dim; ++oj) {
std::cout << fabs(grad_coord_on_quad.values[q*dim*dim + i*dim + j] - (i == j)) << " ";
}
std::cout << std::endl;
}
exit(EXIT_FAILURE);
}
}
}
}
finalize();
return EXIT_SUCCESS;
}
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