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muSpectre/tests/test_projection_finite.cc
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test_projection_finite.cc
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/**
* file test_projection_finite.cc
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 07 Dec 2017
*
* @brief tests for standard finite strain projection operator
*
* @section LICENCE
*
* Copyright (C) 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include <cmath>
#include <boost/mpl/list.hpp>
#include <boost/range/combine.hpp>
#include <Eigen/Dense>
#include "tests.hh"
#include "fft/fftw_engine.hh"
#include "fft/projection_finite_strain.hh"
#include "fft/fft_utils.hh"
#include "common/common.hh"
#include "common/field_collection.hh"
#include "common/field_map.hh"
namespace muSpectre {
BOOST_AUTO_TEST_SUITE(projection_finite_strain);
/* ---------------------------------------------------------------------- */
template <Dim_t DimS>
struct Sizes {
};
template<>
struct Sizes<twoD> {
constexpr static Ccoord_t<twoD> get_resolution() {
return Ccoord_t<twoD>{13, 15};}
constexpr static std::array<Real, twoD> get_lengths() {
return std::array<Real, twoD>{3.4, 5.8};}
};
template<>
struct Sizes<threeD> {
constexpr static Ccoord_t<threeD> get_resolution() {
return Ccoord_t<threeD>{13, 15, 17};}
constexpr static std::array<Real, threeD> get_lengths() {
return std::array<Real, threeD>{3.4, 5.8, 6.7};}
};
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
struct ProjectionFixture {
using Engine = FFTW_Engine<DimS, DimM>;
using Parent = ProjectionFiniteStrain<DimS, DimM>;
constexpr static Dim_t sdim{DimS};
constexpr static Dim_t mdim{DimM};
ProjectionFixture(): engine{Sizes<DimS>::get_resolution(),
Sizes<DimS>::get_lengths()},
projector(engine){}
Engine engine;
Parent projector;
};
/* ---------------------------------------------------------------------- */
using fixlist = boost::mpl::list<ProjectionFixture<twoD, twoD>,
ProjectionFixture<threeD, threeD>>;
/* ---------------------------------------------------------------------- */
BOOST_FIXTURE_TEST_CASE_TEMPLATE(constructor_test, fix, fixlist, fix) {
BOOST_CHECK_NO_THROW(fix::projector.initialise(FFT_PlanFlags::estimate));
}
/* ---------------------------------------------------------------------- */
BOOST_FIXTURE_TEST_CASE_TEMPLATE(Gradient_preservation_test,
fix, fixlist, fix) {
// create a gradient field with a zero mean gradient and verify
// that the projection preserves it
constexpr Dim_t dim{fix::sdim}, sdim{fix::sdim}, mdim{fix::mdim};
static_assert(dim == fix::mdim,
"These tests assume that the material and spatial dimension are "
"identical");
using Fields = FieldCollection<sdim, mdim>;
using FieldT = TensorField<Fields, Real, secondOrder, mdim>;
using FieldMap = MatrixFieldMap<Fields, Real, mdim, mdim>;
using Vector = Eigen::Matrix<Real, dim, 1>;
Fields fields{};
FieldT & f_grad{make_field<FieldT>("gradient", fields)};
FieldT & f_var{make_field<FieldT>("working field", fields)};
FieldMap grad(f_grad);
FieldMap var(f_var);
fields.initialise(Sizes<sdim>::get_resolution());
FFT_freqs<dim> freqs{fix::engine.get_resolutions(),
fix::engine.get_lengths()};
Vector k; for (Dim_t i = 0; i < dim; ++i) {
// the wave vector has to be such that it leads to an integer
// number of periods in each length of the domain
k(i) = (i+1)*2*pi/fix::engine.get_lengths()[i]; ;
}
for (auto && tup: boost::combine(fields, grad, var)) {
auto & ccoord = boost::get<0>(tup);
auto & g = boost::get<1>(tup);
auto & v = boost::get<2>(tup);
Vector vec = CcoordOps::get_vector(ccoord, fix::engine.get_lengths());
g.col(0) << 2*pi * k * cos(k.dot(vec));
v.col(0) = g.col(0);
}
fix::projector.initialise(FFT_PlanFlags::estimate);
fix::projector.apply_projection(f_var);
for (auto && tup: boost::combine(fields, grad, var)) {
auto & ccoord = boost::get<0>(tup);
auto & g = boost::get<1>(tup);
auto & v = boost::get<2>(tup);
auto vec = CcoordOps::get_vector(ccoord);
Real error = (g-v).norm();
BOOST_CHECK_LT(error, tol);
if (error >=tol) {
std::cout << std::endl << "grad_ref :" << std::endl << g << std::endl;
std::cout << std::endl << "grad_proj :" << std::endl << v << std::endl;
std::cout << std::endl << "ccoord :" << std::endl << ccoord << std::endl;
std::cout << std::endl << "vector :" << std::endl << vec.transpose() << std::endl;
}
}
}
/* ---------------------------------------------------------------------- */
using F3 = ProjectionFixture<threeD, threeD>;
BOOST_FIXTURE_TEST_CASE(Helmholtz_decomposition, F3) {
// create a field that is explicitely the sum of a gradient and a
// curl, then verify that the projected field corresponds to the
// gradient (without the zero'th component)
constexpr Dim_t sdim{F3::sdim}, mdim{F3::mdim};
using Fields = FieldCollection<sdim, mdim>;
Fields fields{};
using FieldT = TensorField<Fields, Real, secondOrder, mdim>;
using FieldMap = MatrixFieldMap<Fields, Real, mdim, mdim>;
FieldT & f_grad{make_field<FieldT>("gradient", fields)};
FieldT & f_curl{make_field<FieldT>("curl", fields)};
FieldT & f_sum{make_field<FieldT>("sum", fields)};
FieldT & f_var{make_field<FieldT>("working field", fields)};
FieldMap grad(f_grad);
FieldMap curl(f_curl);
FieldMap sum(f_sum);
FieldMap var(f_var);
fields.initialise(Sizes<sdim>::get_resolution());
for (auto && tup: boost::combine(fields, grad, curl, sum, var)) {
auto & ccoord = boost::get<0>(tup);
auto & g = boost::get<1>(tup);
auto & c = boost::get<2>(tup);
auto & s = boost::get<3>(tup);
auto & v = boost::get<4>(tup);
auto vec = CcoordOps::get_vector(ccoord);
Real & x{vec(0)};
Real & y{vec(1)};
Real & z{vec(2)};
g.col(0) << y*z, x*z, y*z;
c.col(0) << 0, x*y, -x*z;
v.col(0) = s.col(0) = g.col(0) + c.col(0);
}
projector.initialise(FFT_PlanFlags::estimate);
projector.apply_projection(f_var);
for (auto && tup: boost::combine(fields, grad, curl, sum, var)) {
auto & ccoord = boost::get<0>(tup);
auto & g = boost::get<1>(tup);
auto & c = boost::get<2>(tup);
auto & s = boost::get<3>(tup);
auto & v = boost::get<4>(tup);
auto vec = CcoordOps::get_vector(ccoord);
Real error = (s-g).norm();
//BOOST_CHECK_LT(error, tol);
if (error >=tol) {
std::cout << std::endl << "grad_ref :" << std::endl << g << std::endl;
std::cout << std::endl << "grad_proj :" << std::endl << v << std::endl;
std::cout << std::endl << "curl :" << std::endl << c << std::endl;
std::cout << std::endl << "sum :" << std::endl << s << std::endl;
std::cout << std::endl << "ccoord :" << std::endl << ccoord << std::endl;
std::cout << std::endl << "vector :" << std::endl << vec.transpose() << std::endl;
}
}
}
BOOST_AUTO_TEST_SUITE_END();
} // muSpectre
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