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;
}
