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/*
Copyright 2021 Equinor ASA
This file is part of the Open Porous Media project (OPM).
OPM 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 of the License, or
(at your option) any later version.
OPM 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 OPM. If not, see <http://www.gnu.org/licenses/>.
*/
#include <config.h>
#define BOOST_TEST_MODULE SolveTransposed3x3
#include <boost/test/unit_test.hpp>
#include <boost/version.hpp>
#if BOOST_VERSION / 100000 == 1 && BOOST_VERSION / 100 % 1000 < 71
#include <boost/test/floating_point_comparison.hpp>
#else
#include <boost/test/tools/floating_point_comparison.hpp>
#endif
#include <dune/istl/bcrsmatrix.hh>
#include <opm/simulators/linalg/gpubridge/opencl/openclCPR.hpp>
#include <opm/simulators/linalg/gpubridge/Misc.hpp>
BOOST_AUTO_TEST_CASE(testsolvetransposed3x3)
{
const unsigned numTests = 3;
const unsigned blockSize = 3;
std::vector<std::vector<double> > A = {{4, 2, 1,
3, 4, 2,
2, 4, 3},
{1, 2, 4,
1, 3, 2,
2, 4, 2},
{1, 2, 2,
1, 3, 5,
3, 2, 4}};
std::vector<std::vector<double> > b = {{0, 1, 0},
{1, 3, 5},
{2, 4, 5}};
std::vector<std::vector<double> > x_expected = {{-0.5, 1, -0.5},
{ 1, 1, -0.5},
{ 1.3, 0.4, 0.1}};
for (unsigned testId = 0; testId < numTests; ++testId) {
std::vector<double> x(blockSize);
Opm::Accelerator::solve_transposed_3x3(A[testId].data(), b[testId].data(), x.data());
for (unsigned i = 0; i < blockSize; ++i) {
BOOST_CHECK_CLOSE(x[i], x_expected[testId][i], 1e-6);
}
}
// retest cases using Dune methods
using Mat3 = Dune::FieldMatrix<double, 3, 3>;
using Vec3 = Dune::FieldVector<double, 3>;
for (unsigned testId = 0; testId < numTests; ++testId) {
Mat3 a3 = {{ A[testId][0], A[testId][1], A[testId][2] },
{ A[testId][3], A[testId][4], A[testId][5] },
{ A[testId][6], A[testId][7], A[testId][8] } };
Vec3 y({b[testId][0], b[testId][1], b[testId][2]});
Mat3 b3 = a3;
// b3 = inv(a3^T)
Dune::FMatrixHelp::invertMatrix_retTransposed(a3, b3);
// x = b3 * y
Vec3 x = Dune::FMatrixHelp::mult(b3, y);
for (unsigned i = 0; i < blockSize; ++i) {
BOOST_CHECK_CLOSE(x[i], x_expected[testId][i], 1e-6);
}
}
}
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