void IntegrationValues2<Scalar>:: evaluateRemainingValues(const PHX::MDField<Scalar,Cell,NODE,Dim>& in_node_coordinates) { Intrepid2::CellTools<Scalar> cell_tools; // copy the dynamic data structures into the static data structures { size_type num_ip = dyn_cub_points.dimension(0); size_type num_dims = dyn_cub_points.dimension(1); for (size_type ip = 0; ip < num_ip; ++ip) { cub_weights(ip) = dyn_cub_weights(ip); for (size_type dim = 0; dim < num_dims; ++dim) cub_points(ip,dim) = dyn_cub_points(ip,dim); } } if (int_rule->isSide()) { const size_type num_ip = dyn_cub_points.dimension(0), num_side_dims = dyn_side_cub_points.dimension(1); for (size_type ip = 0; ip < num_ip; ++ip) for (size_type dim = 0; dim < num_side_dims; ++dim) side_cub_points(ip,dim) = dyn_side_cub_points(ip,dim); } { size_type num_cells = in_node_coordinates.dimension(0); size_type num_nodes = in_node_coordinates.dimension(1); size_type num_dims = in_node_coordinates.dimension(2); for (size_type cell = 0; cell < num_cells; ++cell) { for (size_type node = 0; node < num_nodes; ++node) { for (size_type dim = 0; dim < num_dims; ++dim) { node_coordinates(cell,node,dim) = in_node_coordinates(cell,node,dim); } } } } cell_tools.setJacobian(jac, cub_points, node_coordinates, *(int_rule->topology)); cell_tools.setJacobianInv(jac_inv, jac); cell_tools.setJacobianDet(jac_det, jac); if (!int_rule->isSide()) { Intrepid2::FunctionSpaceTools:: computeCellMeasure<Scalar>(weighted_measure, jac_det, cub_weights); } else if(int_rule->spatial_dimension==3) { Intrepid2::FunctionSpaceTools:: computeFaceMeasure<Scalar>(weighted_measure, jac, cub_weights,int_rule->side,*int_rule->topology); } else if(int_rule->spatial_dimension==2) { Intrepid2::FunctionSpaceTools:: computeEdgeMeasure<Scalar>(weighted_measure, jac, cub_weights,int_rule->side,*int_rule->topology); } else TEUCHOS_ASSERT(false); // Shakib contravarient metric tensor for (size_type cell = 0; cell < contravarient.dimension(0); ++cell) { for (size_type ip = 0; ip < contravarient.dimension(1); ++ip) { // zero out matrix for (size_type i = 0; i < contravarient.dimension(2); ++i) for (size_type j = 0; j < contravarient.dimension(3); ++j) covarient(cell,ip,i,j) = 0.0; // g^{ij} = \frac{\parital x_i}{\partial \chi_\alpha}\frac{\parital x_j}{\partial \chi_\alpha} for (size_type i = 0; i < contravarient.dimension(2); ++i) { for (size_type j = 0; j < contravarient.dimension(3); ++j) { for (size_type alpha = 0; alpha < contravarient.dimension(2); ++alpha) { covarient(cell,ip,i,j) += jac(cell,ip,i,alpha) * jac(cell,ip,j,alpha); } } } } } Intrepid2::RealSpaceTools<Scalar>::inverse(contravarient, covarient); // norm of g_ij for (size_type cell = 0; cell < contravarient.dimension(0); ++cell) { for (size_type ip = 0; ip < contravarient.dimension(1); ++ip) { norm_contravarient(cell,ip) = 0.0; for (size_type i = 0; i < contravarient.dimension(2); ++i) { for (size_type j = 0; j < contravarient.dimension(3); ++j) { norm_contravarient(cell,ip) += contravarient(cell,ip,i,j) * contravarient(cell,ip,i,j); } } norm_contravarient(cell,ip) = std::sqrt(norm_contravarient(cell,ip)); } } }
int FunctionSpaceTools_Test02(const bool verbose) { typedef ValueType value_type; Teuchos::RCP<std::ostream> outStream; Teuchos::oblackholestream bhs; // outputs nothing if (verbose) outStream = Teuchos::rcp(&std::cout, false); else outStream = Teuchos::rcp(&bhs, false); Teuchos::oblackholestream oldFormatState; oldFormatState.copyfmt(std::cout); *outStream \ << "===============================================================================\n" \ << "| |\n" \ << "| Unit Test (FunctionSpaceTools) |\n" \ << "| |\n" \ << "| 1) basic operator transformations and integration in HCURL |\n" \ << "| |\n" \ << "| Questions? Contact Pavel Bochev ([email protected]) or |\n" \ << "| Denis Ridzal ([email protected]). |\n" \ << "| |\n" \ << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \ << "| Trilinos website: http://trilinos.sandia.gov |\n" \ << "| |\n" \ << "===============================================================================\n"; typedef FunctionSpaceTools<DeviceSpaceType> fst; typedef Kokkos::DynRankView<value_type,DeviceSpaceType> DynRankView; #define ConstructWithLabel(obj, ...) obj(#obj, __VA_ARGS__) int errorFlag = 0; *outStream \ << "\n" << "===============================================================================\n"\ << "| TEST 1: correctness of math operations |\n"\ << "===============================================================================\n"; outStream->precision(20); try { shards::CellTopology cellType = shards::getCellTopologyData< shards::Hexahedron<> >(); // cell type: hex /* Related to cubature. */ DefaultCubatureFactory<double> cubFactory; // create cubature factory int cubDegree = 20; // cubature degree Teuchos::RCP<Cubature<double> > myCub = cubFactory.create(cellType, cubDegree); // create default cubature int spaceDim = myCub->getDimension(); // get spatial dimension int numCubPoints = myCub->getNumPoints(); // get number of cubature points /* Related to basis. */ Basis_HCURL_HEX_I1_FEM<double, FieldContainer<double> > hexBasis; // create H-curl basis on a hex int numFields = hexBasis.getCardinality(); // get basis cardinality /* Cell geometries and orientations. */ int numCells = 4; int numNodes = 8; int numCellData = numCells*numNodes*spaceDim; int numSignData = numCells*numFields; double hexnodes[] = { // hex 0 -- affine -1.0, -1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, 1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0, 1.0, // hex 1 -- affine -3.0, -3.0, 1.0, 6.0, 3.0, 1.0, 7.0, 8.0, 0.0, -2.0, 2.0, 0.0, -3.0, -3.0, 4.0, 6.0, 3.0, 4.0, 7.0, 8.0, 3.0, -2.0, 2.0, 3.0, // hex 2 -- affine -3.0, -3.0, 0.0, 9.0, 3.0, 0.0, 15.0, 6.1, 0.0, 3.0, 0.1, 0.0, 9.0, 3.0, 0.1, 21.0, 9.0, 0.1, 27.0, 12.1, 0.1, 15.0, 6.1, 0.1, // hex 3 -- nonaffine -2.0, -2.0, 0.0, 2.0, -1.0, 0.0, 1.0, 6.0, 0.0, -1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0 }; double edgesigns[] = { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1 }; /* Computational arrays. */ FieldContainer<double> cub_points(numCubPoints, spaceDim); FieldContainer<double> cub_weights(numCubPoints); FieldContainer<double> cell_nodes(numCells, numNodes, spaceDim); FieldContainer<double> field_signs(numCells, numFields); FieldContainer<double> jacobian(numCells, numCubPoints, spaceDim, spaceDim); FieldContainer<double> jacobian_inv(numCells, numCubPoints, spaceDim, spaceDim); FieldContainer<double> jacobian_det(numCells, numCubPoints); FieldContainer<double> weighted_measure(numCells, numCubPoints); FieldContainer<double> curl_of_basis_at_cub_points(numFields, numCubPoints, spaceDim); FieldContainer<double> transformed_curl_of_basis_at_cub_points(numCells, numFields, numCubPoints, spaceDim); FieldContainer<double> weighted_transformed_curl_of_basis_at_cub_points(numCells, numFields, numCubPoints, spaceDim); FieldContainer<double> stiffness_matrices(numCells, numFields, numFields); FieldContainer<double> value_of_basis_at_cub_points(numFields, numCubPoints, spaceDim); FieldContainer<double> transformed_value_of_basis_at_cub_points(numCells, numFields, numCubPoints, spaceDim); FieldContainer<double> weighted_transformed_value_of_basis_at_cub_points(numCells, numFields, numCubPoints, spaceDim); FieldContainer<double> mass_matrices(numCells, numFields, numFields); /******************* START COMPUTATION ***********************/ // get cubature points and weights myCub->getCubature(cub_points, cub_weights); // fill cell vertex array cell_nodes.setValues(hexnodes, numCellData); // set basis function signs, for each cell field_signs.setValues(edgesigns, numSignData); // compute geometric cell information CellTools<double>::setJacobian(jacobian, cub_points, cell_nodes, cellType); CellTools<double>::setJacobianInv(jacobian_inv, jacobian); CellTools<double>::setJacobianDet(jacobian_det, jacobian); // compute weighted measure fst::computeCellMeasure<double>(weighted_measure, jacobian_det, cub_weights); // Computing stiffness matrices: // tabulate curls of basis functions at (reference) cubature points hexBasis.getValues(curl_of_basis_at_cub_points, cub_points, OPERATOR_CURL); // transform curls of basis functions fst::HCURLtransformCURL<double>(transformed_curl_of_basis_at_cub_points, jacobian, jacobian_det, curl_of_basis_at_cub_points); // multiply with weighted measure fst::multiplyMeasure<double>(weighted_transformed_curl_of_basis_at_cub_points, weighted_measure, transformed_curl_of_basis_at_cub_points); // we can apply the field signs to the basis function arrays, or after the fact, see below fst::applyFieldSigns<double>(transformed_curl_of_basis_at_cub_points, field_signs); fst::applyFieldSigns<double>(weighted_transformed_curl_of_basis_at_cub_points, field_signs); // compute stiffness matrices fst::integrate<double>(stiffness_matrices, transformed_curl_of_basis_at_cub_points, weighted_transformed_curl_of_basis_at_cub_points, COMP_CPP); // Computing mass matrices: // tabulate values of basis functions at (reference) cubature points hexBasis.getValues(value_of_basis_at_cub_points, cub_points, OPERATOR_VALUE); // transform values of basis functions fst::HCURLtransformVALUE<double>(transformed_value_of_basis_at_cub_points, jacobian_inv, value_of_basis_at_cub_points); // multiply with weighted measure fst::multiplyMeasure<double>(weighted_transformed_value_of_basis_at_cub_points, weighted_measure, transformed_value_of_basis_at_cub_points); // compute mass matrices fst::integrate<double>(mass_matrices, transformed_value_of_basis_at_cub_points, weighted_transformed_value_of_basis_at_cub_points, COMP_CPP); // apply field signs (after the fact, as a post-processing step) fst::applyLeftFieldSigns<double>(mass_matrices, field_signs); fst::applyRightFieldSigns<double>(mass_matrices, field_signs); /******************* STOP COMPUTATION ***********************/ /******************* START COMPARISON ***********************/ string basedir = "./testdata"; for (int cell_id = 0; cell_id < numCells-1; cell_id++) { stringstream namestream; string filename; namestream << basedir << "/mass_HCURL_HEX_I1_FEM" << "_" << "0" << cell_id+1 << ".dat"; namestream >> filename; ifstream massfile(&filename[0]); if (massfile.is_open()) { if (compareToAnalytic<double>(&mass_matrices(cell_id, 0, 0), massfile, 1e-10, iprint) > 0) errorFlag++; massfile.close(); } else { errorFlag = -1; std::cout << "End Result: TEST FAILED\n"; return errorFlag; } namestream.clear(); namestream << basedir << "/stiff_HCURL_HEX_I1_FEM" << "_" << "0" << cell_id+1 << ".dat"; namestream >> filename; ifstream stifffile(&filename[0]); if (stifffile.is_open()) { if (compareToAnalytic<double>(&stiffness_matrices(cell_id, 0, 0), stifffile, 1e-10, iprint) > 0) errorFlag++; stifffile.close(); } else { errorFlag = -1; std::cout << "End Result: TEST FAILED\n"; return errorFlag; } } for (int cell_id = 3; cell_id < numCells; cell_id++) { stringstream namestream; string filename; namestream << basedir << "/mass_fp_HCURL_HEX_I1_FEM" << "_" << "0" << cell_id+1 << ".dat"; namestream >> filename; ifstream massfile(&filename[0]); if (massfile.is_open()) { if (compareToAnalytic<double>(&mass_matrices(cell_id, 0, 0), massfile, 1e-4, iprint, INTREPID2_UTILS_SCALAR) > 0) errorFlag++; massfile.close(); } else { errorFlag = -1; std::cout << "End Result: TEST FAILED\n"; return errorFlag; } namestream.clear(); namestream << basedir << "/stiff_fp_HCURL_HEX_I1_FEM" << "_" << "0" << cell_id+1 << ".dat"; namestream >> filename; ifstream stifffile(&filename[0]); if (stifffile.is_open()) { if (compareToAnalytic<double>(&stiffness_matrices(cell_id, 0, 0), stifffile, 1e-4, iprint, INTREPID2_UTILS_SCALAR) > 0) errorFlag++; stifffile.close(); } else { errorFlag = -1; std::cout << "End Result: TEST FAILED\n"; return errorFlag; } } /******************* STOP COMPARISON ***********************/ *outStream << "\n"; } catch (std::logic_error err) { *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n"; *outStream << err.what() << '\n'; *outStream << "-------------------------------------------------------------------------------" << "\n\n"; errorFlag = -1000; }; if (errorFlag != 0) std::cout << "End Result: TEST FAILED\n"; else std::cout << "End Result: TEST PASSED\n"; // reset format state of std::cout std::cout.copyfmt(oldFormatState); Kokkos::finalize(); return errorFlag; }