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rAKA/test/test_model/patch_tests/patch_test_linear_fixture.hh
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patch_test_linear_fixture.hh
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/**
* @file patch_test_linear_fixture.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Tue Jan 30 2018
* @date last modification: Wed Jan 31 2018
*
* @brief Fixture for linear patch tests
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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 "element_group.hh"
#include "mesh_utils.hh"
#include "model.hh"
#include "test_gtest_utils.hh"
/* -------------------------------------------------------------------------- */
#include <gtest/gtest.h>
#include <vector>
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_PATCH_TEST_LINEAR_FIXTURE_HH__
#define __AKANTU_PATCH_TEST_LINEAR_FIXTURE_HH__
//#define DEBUG_TEST
using namespace akantu;
template <typename type_, typename M>
class TestPatchTestLinear : public ::testing::Test {
public:
static constexpr ElementType type = type_::value;
static constexpr size_t dim = ElementClass<type>::getSpatialDimension();
virtual void SetUp() {
mesh = std::make_unique<Mesh>(dim);
mesh->read(std::to_string(type) + ".msh");
MeshUtils::buildFacets(*mesh);
mesh->createBoundaryGroupFromGeometry();
model = std::make_unique<M>(*mesh);
}
virtual void TearDown() {
model.reset(nullptr);
mesh.reset(nullptr);
}
virtual void initModel(const AnalysisMethod & method,
const std::string & material_file) {
debug::setDebugLevel(dblError);
getStaticParser().parse(material_file);
this->model->initFull(_analysis_method = method);
this->applyBC();
if (method != _static)
this->model->setTimeStep(0.8 * this->model->getStableTimeStep());
}
virtual void applyBC() {
auto & boundary = this->model->getBlockedDOFs();
for (auto & eg : mesh->iterateElementGroups()) {
for (const auto & node : eg.getNodeGroup()) {
for (UInt s = 0; s < boundary.getNbComponent(); ++s) {
boundary(node, s) = true;
}
}
}
}
virtual void applyBConDOFs(const Array<Real> & dofs) {
const auto & coordinates = this->mesh->getNodes();
for (auto & eg : this->mesh->iterateElementGroups()) {
for (const auto & node : eg.getNodeGroup()) {
this->setLinearDOF(dofs.begin(dofs.getNbComponent())[node],
coordinates.begin(this->dim)[node]);
}
}
}
template <typename V> Matrix<Real> prescribed_gradient(const V & dof) {
Matrix<Real> gradient(dof.getNbComponent(), dim);
for (UInt i = 0; i < gradient.rows(); ++i) {
for (UInt j = 0; j < gradient.cols(); ++j) {
gradient(i, j) = alpha(i, j + 1);
}
}
return gradient;
}
template <typename Gradient, typename DOFs>
void checkGradient(const Gradient & gradient, const DOFs & dofs) {
auto pgrad = prescribed_gradient(dofs);
for (auto & grad :
make_view(gradient, gradient.getNbComponent() / dim, dim)) {
auto diff = grad - pgrad;
auto gradient_error =
diff.template norm<L_inf>() / grad.template norm<L_inf>();
EXPECT_NEAR(0, gradient_error, gradient_tolerance);
}
}
template <typename presult_func_t, typename Result, typename DOFs>
void checkResults(presult_func_t && presult_func, const Result & results,
const DOFs & dofs) {
auto presult = presult_func(prescribed_gradient(dofs));
for (auto & result :
make_view(results, results.getNbComponent() / dim, dim)) {
auto diff = result - presult;
auto result_error =
diff.template norm<L_inf>() / presult.template norm<L_inf>();
EXPECT_NEAR(0, result_error, result_tolerance);
}
}
template <typename V1, typename V2>
void setLinearDOF(V1 && dof, V2 && coord) {
for (UInt i = 0; i < dof.size(); ++i) {
dof(i) = this->alpha(i, 0);
for (UInt j = 0; j < coord.size(); ++j) {
dof(i) += this->alpha(i, j + 1) * coord(j);
}
}
}
template <typename V> void checkDOFs(V && dofs) {
const auto & coordinates = mesh->getNodes();
Vector<Real> ref_dof(dofs.getNbComponent());
for (auto && tuple : zip(make_view(coordinates, dim),
make_view(dofs, dofs.getNbComponent()))) {
setLinearDOF(ref_dof, std::get<0>(tuple));
auto diff = std::get<1>(tuple) - ref_dof;
auto dofs_error = diff.template norm<L_inf>();
EXPECT_NEAR(0, dofs_error, dofs_tolerance);
}
}
protected:
std::unique_ptr<Mesh> mesh;
std::unique_ptr<M> model;
Matrix<Real> alpha{{0.01, 0.02, 0.03, 0.04},
{0.05, 0.06, 0.07, 0.08},
{0.09, 0.10, 0.11, 0.12}};
Real gradient_tolerance{1e-13};
Real result_tolerance{1e-13};
Real dofs_tolerance{1e-15};
};
template <typename type_, typename M>
constexpr ElementType TestPatchTestLinear<type_, M>::type;
template <typename tuple_, typename M>
constexpr size_t TestPatchTestLinear<tuple_, M>::dim;
#endif /* __AKANTU_PATCH_TEST_LINEAR_FIXTURE_HH__ */
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