void test_multiple_meshes_quadrature()
{
set_log_level(DEBUG);
// Create multimesh from three triangle meshes of the unit square
// Many meshes, but not more than three overlap => this works
UnitCubeMesh mesh_0(11, 12, 13);
BoxMesh mesh_1(Point(0.1, 0.1, 0.1), Point(0.9, 0.9, 0.9), 13, 11, 12);
BoxMesh mesh_2(Point(0.2, 0.2, 0.2), Point(0.95, 0.95, 0.8), 11, 13, 11);
BoxMesh mesh_3(Point(0.94, 0.01, 0.01), Point(0.98, 0.99, 0.99), 1, 11, 11);
BoxMesh mesh_4(Point(0.01, 0.01, 0.01), Point(0.02, 0.02, 0.02), 1, 1, 1);
// // Completely nested 2D: can't do no more than three meshes
// UnitSquareMesh mesh_0(1, 1);
// RectangleMesh mesh_1(Point(0.1, 0.1), Point(0.9, 0.9, 1, 1);
// RectangleMesh mesh_2(Point(0.2, 0.2), Point(0.8, 0.8, 1, 1);
// RectangleMesh mesh_3(Point(0.3, 0.3), Point(0.7, 0.7, 1, 1);
// RectangleMesh mesh_4(Point(0.4, 0.4), Point(0.6, 0.6, 1, 1);
// // Completely nested 3D: can't do no more than three meshes
// UnitCubeMesh mesh_0(2, 3, 4);
// BoxMesh mesh_1(Point(0.1, 0.1, 0.1), Point(0.9, 0.9, 0.9), 4, 3, 2);
// BoxMesh mesh_2(Point(0.2, 0.2, 0.2), Point(0.8, 0.8, 0.8), 3, 4, 3);
// BoxMesh mesh_3(Point(0.8, 0.01, 0.01), Point(0.9, 0.99, 0.99), 4, 2, 3);
// BoxMesh mesh_4(Point(0.01, 0.01, 0.01), Point(0.02, 0.02, 0.02), 1, 1, 1);
// Build the multimesh
MultiMesh multimesh;
multimesh.add(mesh_0);
multimesh.add(mesh_1);
multimesh.add(mesh_2);
multimesh.add(mesh_3);
multimesh.add(mesh_4);
multimesh.build();
// Exact volume is known
const double exact_volume = 1;
double volume = 0;
// Sum contribution from all parts
std::cout << "Sum contributions\n";
for (std::size_t part = 0; part < multimesh.num_parts(); part++)
{
std::cout << "% part " << part;
double part_volume = 0;
// Uncut cell volume given by function volume
const auto uncut_cells = multimesh.uncut_cells(part);
for (auto it = uncut_cells.begin(); it != uncut_cells.end(); ++it)
{
const Cell cell(*multimesh.part(part), *it);
volume += cell.volume();
part_volume += cell.volume();
}
std::cout << "\t uncut volume "<< part_volume<<' ';
// Cut cell volume given by quadrature rule
const auto& cut_cells = multimesh.cut_cells(part);
for (auto it = cut_cells.begin(); it != cut_cells.end(); ++it)
{
const auto& qr = multimesh.quadrature_rule_cut_cell(part, *it);
for (std::size_t i = 0; i < qr.second.size(); ++i)
{
volume += qr.second[i];
part_volume += qr.second[i];
}
}
std::cout << "\ttotal volume " << part_volume<< std::endl;
}
std::cout<<std::setprecision(13) << "exact volume " << exact_volume<<'\n'
<< "volume " << volume<<std::endl;
CPPUNIT_ASSERT_DOUBLES_EQUAL(exact_volume, volume, DOLFIN_EPS_LARGE);
}
