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muSpectre/tests/header_test_eigen_tools.cc
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header_test_eigen_tools.cc
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/**
* @file header_test_eigen_tools.cc
*
* @author Till Junge <till.junge@altermail.ch>
*
* @date 07 Mar 2018
*
* @brief test the eigen_tools
*
* Copyright © 2018 Till Junge
*
* µSpectre 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, 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 Lesser General Public License
* along with µSpectre; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* * Boston, MA 02111-1307, USA.
*
* Additional permission under GNU GPL version 3 section 7
*
* If you modify this Program, or any covered work, by linking or combining it
* with proprietary FFT implementations or numerical libraries, containing parts
* covered by the terms of those libraries' licenses, the licensors of this
* Program grant you additional permission to convey the resulting work.
*/
#include "common/eigen_tools.hh"
#include "tests.hh"
namespace muSpectre {
BOOST_AUTO_TEST_SUITE(eigen_tools);
BOOST_AUTO_TEST_CASE(exponential_test) {
using Mat_t = Eigen::Matrix<Real, threeD, threeD>;
Mat_t input{};
input << 0, .25 * pi, 0, .25 * pi, 0, 0, 0, 0, 1;
Mat_t output{};
output << 1.32460909, 0.86867096, 0, 0.86867096, 1.32460909, 0, 0, 0,
2.71828183;
auto my_output{expm(input)};
Real error{(my_output - output).norm()};
BOOST_CHECK_LT(error, 1e-8);
if (error >= 1e-8) {
std::cout << "input:" << std::endl << input << std::endl;
std::cout << "output:" << std::endl << output << std::endl;
std::cout << "my_output:" << std::endl << my_output << std::endl;
}
}
BOOST_AUTO_TEST_CASE(log_m_test) {
using Mat_t = Eigen::Matrix<Real, threeD, threeD>;
Mat_t input{};
constexpr Real log_tol{1e-8};
input << 1.32460909, 0.86867096, 0, 0.86867096, 1.32460909, 0, 0, 0,
2.71828183;
Mat_t output{};
output << 0, .25 * pi, 0, .25 * pi, 0, 0, 0, 0, 1;
auto my_output{logm(input)};
Real error{(my_output - output).norm() / output.norm()};
BOOST_CHECK_LT(error, log_tol);
if (error >= log_tol) {
std::cout << "input:" << std::endl << input << std::endl;
std::cout << "output:" << std::endl << output << std::endl;
std::cout << "my_output:" << std::endl << my_output << std::endl;
}
input << 1.0001000000000002, 0.010000000000000116, 0, 0.010000000000000061,
1.0000000000000002, 0, 0, 0, 1;
// from scipy.linalg.logm
output << 4.99991667e-05, 9.99983334e-03, 0.00000000e+00, 9.99983334e-03,
-4.99991667e-05, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
0.00000000e+00;
my_output = logm(input);
error = (my_output - output).norm() / output.norm();
BOOST_CHECK_LT(error, log_tol);
if (error >= log_tol) {
std::cout << "input:" << std::endl << input << std::endl;
std::cout << "output:" << std::endl << output << std::endl;
std::cout << "my_output:" << std::endl << my_output << std::endl;
}
input << 1.0001000000000002, 0.010000000000000116, 0, 0.010000000000000061,
1.0000000000000002, 0, 0, 0, 1;
input = input.transpose().eval();
// from scipy.linalg.logm
output << 4.99991667e-05, 9.99983334e-03, 0.00000000e+00, 9.99983334e-03,
-4.99991667e-05, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
0.00000000e+00;
my_output = logm(input);
error = (my_output - output).norm() / output.norm();
BOOST_CHECK_LT(error, log_tol);
if (error >= log_tol) {
std::cout << "input:" << std::endl << input << std::endl;
std::cout << "output:" << std::endl << output << std::endl;
std::cout << "my_output:" << std::endl << my_output << std::endl;
}
Mat_t my_output_alt{logm_alt(input)};
error = (my_output_alt - output).norm() / output.norm();
BOOST_CHECK_LT(error, log_tol);
if (error >= log_tol) {
std::cout << "input:" << std::endl << input << std::endl;
std::cout << "output:" << std::endl << output << std::endl;
std::cout << "my_output:" << std::endl << my_output_alt << std::endl;
}
}
BOOST_AUTO_TEST_SUITE_END();
} // namespace muSpectre
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