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Added test for DG basis classes.
Only 2d so far.
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tests/test_dgbasis.cpp
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tests/test_dgbasis.cpp
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/*
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Copyright 2013 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <config.h>
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#if HAVE_DYNAMIC_BOOST_TEST
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#define BOOST_TEST_DYN_LINK
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#endif
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#define NVERBOSE // to suppress our messages when throwing
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#define BOOST_TEST_MODULE DGBasisTest
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#include <boost/test/unit_test.hpp>
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#include <opm/core/transport/reorder/DGBasis.hpp>
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#include <opm/core/GridManager.hpp>
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#include <opm/core/grid.h>
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#include <cmath>
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using namespace Opm;
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namespace
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{
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bool aequal(double a, double b)
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{
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const double eps = 1e-15;
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return std::fabs(a - b) < eps;
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}
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} // anonymous namespace
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namespace cart2d
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{
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static void test()
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{
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// Set up 2d 1-cell cartesian case.
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GridManager g(1, 1);
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const UnstructuredGrid& grid = *g.c_grid();
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// Test DGBasisBoundedTotalDegree, degree 0.
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{
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DGBasisBoundedTotalDegree b(grid, 0);
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BOOST_CHECK_EQUAL(b.numBasisFunc(), 1);
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std::vector<double> bx(b.numBasisFunc(), 0.0);
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b.eval(0, grid.cell_centroids, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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double x[2] = { 0.123, 0.456 };
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b.eval(0, x, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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std::vector<double> c(b.numBasisFunc(), 0.0);
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b.addConstant(0.789, &c[0]);
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BOOST_CHECK(aequal(c[0], 0.789));
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b.multiplyGradient(1.234, &c[0]);
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BOOST_CHECK(aequal(c[0], 0.789));
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}
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// Test DGBasisBoundedTotalDegree, degree 1.
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{
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DGBasisBoundedTotalDegree b(grid, 1);
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BOOST_CHECK_EQUAL(b.numBasisFunc(), 3);
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std::vector<double> bx(b.numBasisFunc(), 0.0);
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b.eval(0, grid.cell_centroids, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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BOOST_CHECK(aequal(bx[1], 0.0));
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BOOST_CHECK(aequal(bx[2], 0.0));
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double x[2] = { 0.123, 0.456 };
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b.eval(0, x, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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BOOST_CHECK(aequal(bx[1], 0.123 - 0.5));
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BOOST_CHECK(aequal(bx[2], 0.456 - 0.5));
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std::vector<double> c(b.numBasisFunc(), 0.0);
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c[0] = 1.0; c[1] = 2.0; c[2] = 3.0;
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b.addConstant(0.789, &c[0]);
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BOOST_CHECK(aequal(c[0], 1.789));
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BOOST_CHECK(aequal(c[1], 2.0));
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BOOST_CHECK(aequal(c[2], 3.0));
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const double fx = c[0]*bx[0] + c[1]*bx[1] + c[2]*bx[2];
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b.multiplyGradient(1.234, &c[0]);
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BOOST_CHECK(aequal(c[0], 1.789));
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BOOST_CHECK(aequal(c[1], 2.0*1.234));
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BOOST_CHECK(aequal(c[2], 3.0*1.234));
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const double fx2 = c[0]*bx[0] + c[1]*bx[1] + c[2]*bx[2];
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BOOST_CHECK(aequal(fx2 - c[0], 1.234*(fx - c[0])));
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}
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// Test DGBasisMultilin, degree 0.
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{
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DGBasisMultilin b(grid, 0);
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BOOST_CHECK_EQUAL(b.numBasisFunc(), 1);
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std::vector<double> bx(b.numBasisFunc(), 0.0);
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b.eval(0, grid.cell_centroids, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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double x[2] = { 0.123, 0.456 };
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b.eval(0, x, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 1.0));
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std::vector<double> c(b.numBasisFunc(), 0.0);
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b.addConstant(0.789, &c[0]);
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BOOST_CHECK(aequal(c[0], 0.789));
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b.multiplyGradient(1.234, &c[0]);
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BOOST_CHECK(aequal(c[0], 0.789));
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}
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// Test DGBasisMultilin, degree 1.
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{
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DGBasisMultilin b(grid, 1);
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BOOST_CHECK_EQUAL(b.numBasisFunc(), 4);
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std::vector<double> bx(b.numBasisFunc(), 0.0);
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b.eval(0, grid.cell_centroids, &bx[0]);
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BOOST_CHECK(aequal(bx[0], 0.25));
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BOOST_CHECK(aequal(bx[1], 0.25));
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BOOST_CHECK(aequal(bx[2], 0.25));
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BOOST_CHECK(aequal(bx[3], 0.25));
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double x[2] = { 0.123, 0.456 };
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b.eval(0, x, &bx[0]);
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const double xm[2] = { 1.0 - x[0], x[0] };
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const double ym[2] = { 1.0 - x[1], x[1] };
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BOOST_CHECK(aequal(bx[0], xm[0]*ym[0]));
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BOOST_CHECK(aequal(bx[1], xm[0]*ym[1]));
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BOOST_CHECK(aequal(bx[2], xm[1]*ym[0]));
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BOOST_CHECK(aequal(bx[3], xm[1]*ym[1]));
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std::vector<double> c(b.numBasisFunc(), 0.0);
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c[0] = -1.567; c[1] = 1.42; c[2] = 0.59; c[3] = 3.225;
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std::vector<double> corig = c;
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b.addConstant(0.789, &c[0]);
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BOOST_CHECK(aequal(c[0], corig[0] + 0.25*0.789));
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BOOST_CHECK(aequal(c[1], corig[1] + 0.25*0.789));
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BOOST_CHECK(aequal(c[2], corig[2] + 0.25*0.789));
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BOOST_CHECK(aequal(c[3], corig[3] + 0.25*0.789));
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const double fx = c[0]*bx[0] + c[1]*bx[1] + c[2]*bx[2] + c[3]*bx[3];
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const double fc = 0.25*(c[0] + c[1] + c[2] + c[3]);
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b.multiplyGradient(1.234, &c[0]);
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const double fx2 = c[0]*bx[0] + c[1]*bx[1] + c[2]*bx[2] + c[3]*bx[3];
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BOOST_CHECK(aequal(fx2 - fc, 1.234*(fx - fc)));
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}
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}
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} // namespace cart2d
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BOOST_AUTO_TEST_CASE(test_dgbasis)
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{
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cart2d::test();
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}
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