void TPSLaplaceResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset) {
// Note that all the integration operations are ScalarT! We need the partials of the Jacobian to show up in the
// system Jacobian as the solution is a function of coordinates (it IS the coordinates!).
// This adds significant time to the compile
Intrepid2::CellTools<ScalarT>::setJacobian(jacobian, refPoints, solnVec, *cellType);
// Since Intrepid2 will perform calculations on the entire workset size and not
// just the used portion, we must fill the excess with reasonable values.
// Leaving this out leads to a floating point exception in
// Intrepid2::RealSpaceTools<Scalar>::det(ArrayDet & detArray,
// const ArrayIn & inMats).
for (std::size_t cell = workset.numCells; cell < worksetSize; ++cell)
for (std::size_t qp = 0; qp < numQPs; ++qp)
for (std::size_t i = 0; i < numDims; ++i)
jacobian(cell, qp, i, i) = 1.0;
Intrepid2::CellTools<ScalarT>::setJacobianDet(jacobian_det, jacobian);
// Straight Laplace's equation evaluation for the nodal coord solution
for(std::size_t cell = 0; cell < workset.numCells; ++cell) {
for(std::size_t node_a = 0; node_a < numNodes; ++node_a) {
for(std::size_t eq = 0; eq < numDims; eq++) {
solnResidual(cell, node_a, eq) = 0.0;
}
for(std::size_t qp = 0; qp < numQPs; ++qp) {
for(std::size_t node_b = 0; node_b < numNodes; ++node_b) {
ScalarT kk = 0.0;
for(std::size_t i = 0; i < numDims; i++) {
kk += grad_at_cub_points(node_a, qp, i) * grad_at_cub_points(node_b, qp, i);
}
for(std::size_t eq = 0; eq < numDims; eq++) {
solnResidual(cell, node_a, eq) +=
kk * solnVec(cell, node_b, eq) * jacobian_det(cell, qp) * refWeights(qp);
}
}
}
}
}
}
void LaplaceResid<EvalT, Traits>::
evaluateFields(typename Traits::EvalData workset) {
// setJacobian only needs to be RealType since the data type is only
// used internally for Basis Fns on reference elements, which are
// not functions of coordinates. This save 18min of compile time!!!
Intrepid::CellTools<MeshScalarT>::setJacobian(jacobian, refPoints, coordVec, *cellType);
// Since Intrepid will perform calculations on the entire workset size and not
// just the used portion, we must fill the excess with reasonable values.
// Leaving this out leads to a floating point exception in
// Intrepid::RealSpaceTools<Scalar>::det(ArrayDet & detArray,
// const ArrayIn & inMats).
for (std::size_t cell = workset.numCells; cell < worksetSize; ++cell)
for (std::size_t qp = 0; qp < numQPs; ++qp)
for (std::size_t i = 0; i < numDims; ++i)
jacobian(cell, qp, i, i) = 1.0;
Intrepid::CellTools<MeshScalarT>::setJacobianDet(jacobian_det, jacobian);
// Straight Laplace's equation evaluation for the nodal coord solution
for(std::size_t cell = 0; cell < workset.numCells; ++cell) {
for(std::size_t node_a = 0; node_a < numNodes; ++node_a) {
for(std::size_t eq = 0; eq < numDims; eq++) {
solnResidual(cell, node_a, eq) = 0.0;
}
for(std::size_t qp = 0; qp < numQPs; ++qp) {
for(std::size_t node_b = 0; node_b < numNodes; ++node_b) {
ScalarT kk = 0.0;
for(std::size_t i = 0; i < numDims; i++) {
kk += grad_at_cub_points(node_a, qp, i) * grad_at_cub_points(node_b, qp, i);
}
for(std::size_t eq = 0; eq < numDims; eq++) {
solnResidual(cell, node_a, eq) +=
kk * solnVec(cell, node_b, eq) * jacobian_det(cell, qp) * refWeights(qp);
}
}
}
}
}
}
void IntrepidKernel<Scalar>::jacobianDet(
Scalar &determinant,
const double param_coords[3],
const iMesh_Instance mesh,
const iBase_EntityHandle physical_cell )
{
int error = 0;
iBase_EntityHandle *element_nodes = 0;
int element_nodes_allocated = 0;
int element_nodes_size = 0;
iMesh_getEntAdj( mesh,
physical_cell,
iBase_VERTEX,
&element_nodes,
&element_nodes_allocated,
&element_nodes_size,
&error );
assert( iBase_SUCCESS == error );
TopologyTools::MBCN2Shards( element_nodes,
element_nodes_size,
this->b_topology );
int coords_allocated = 0;
int coords_size = 0;
double *coord_array = 0;
iMesh_getVtxArrCoords( mesh,
element_nodes,
element_nodes_size,
iBase_INTERLEAVED,
&coord_array,
&coords_allocated,
&coords_size,
&error );
assert( iBase_SUCCESS == error );
Teuchos::Tuple<int,3> cell_node_dimensions;
cell_node_dimensions[0] = 1;
cell_node_dimensions[1] = element_nodes_size;
cell_node_dimensions[2] = 3;
MDArray cell_nodes( Teuchos::Array<int>(cell_node_dimensions),
coord_array );
MDArray reference_coords( 1, 3 );
reference_coords(0,0) = param_coords[0];
reference_coords(0,1) = param_coords[1];
reference_coords(0,2) = param_coords[2];
MDArray jacobian( 1, 1, 3, 3 );
Intrepid::CellTools<double>::setJacobian(
jacobian,
reference_coords,
cell_nodes,
d_intrepid_basis->getBaseCellTopology() );
MDArray jacobian_det( 1, 1 );
Intrepid::CellTools<double>::setJacobianDet( jacobian_det, jacobian );
determinant = jacobian_det(0,0);
free( element_nodes );
free( coord_array );
}
void IntrepidKernel<Scalar>::transformOperator(
Teuchos::ArrayRCP<Scalar> &transformed_values,
const Teuchos::ArrayRCP<Scalar> &values,
const double param_coords[3],
const iMesh_Instance mesh,
const iBase_EntityHandle physical_cell )
{
int error = 0;
iBase_EntityHandle *element_nodes = 0;
int element_nodes_allocated = 0;
int element_nodes_size = 0;
iMesh_getEntAdj( mesh,
physical_cell,
iBase_VERTEX,
&element_nodes,
&element_nodes_allocated,
&element_nodes_size,
&error );
assert( iBase_SUCCESS == error );
TopologyTools::MBCN2Shards( element_nodes,
element_nodes_size,
this->b_topology );
int coords_allocated = 0;
int coords_size = 0;
double *coord_array = 0;
iMesh_getVtxArrCoords( mesh,
element_nodes,
element_nodes_size,
iBase_INTERLEAVED,
&coord_array,
&coords_allocated,
&coords_size,
&error );
assert( iBase_SUCCESS == error );
Teuchos::Tuple<int,3> cell_node_dimensions;
cell_node_dimensions[0] = 1;
cell_node_dimensions[1] = element_nodes_size;
cell_node_dimensions[2] = 3;
MDArray cell_nodes( Teuchos::Array<int>(cell_node_dimensions),
coord_array );
MDArray jacobian( 1, 1, 3, 3 );
MDArray jacobian_det( 1, 1 );
MDArray jacobian_inv( 1, 1, 3, 3 );
MDArray reference_point( 1, 3 );
reference_point(0,0) = param_coords[0];
reference_point(0,1) = param_coords[1];
reference_point(0,2) = param_coords[2];
if ( this->b_function_space_type == FOOD_HGRAD )
{
Intrepid::CellTools<double>::setJacobian(
jacobian,
reference_point,
cell_nodes,
d_intrepid_basis->getBaseCellTopology() );
Intrepid::CellTools<double>::setJacobianInv( jacobian_inv,
jacobian );
MDArray transformed_grad( 1, this->b_cardinality, 1, 3 );
Teuchos::Tuple<int,3> grad_dimensions;
grad_dimensions[0] = this->b_cardinality;
grad_dimensions[1] = 1;
grad_dimensions[2] = 3;
MDArray basis_grad( grad_dimensions, values );
Intrepid::FunctionSpaceTools::HGRADtransformGRAD<double>(
transformed_grad, jacobian_inv, basis_grad );
transformed_values = transformed_grad.getData();
}
else if ( this->b_function_space_type == FOOD_HDIV )
{
}
else if ( this->b_function_space_type == FOOD_HCURL )
{
}
else
{
testPrecondition( this->b_function_space_type == FOOD_HGRAD ||
this->b_function_space_type == FOOD_HDIV ||
this->b_function_space_type == FOOD_HCURL,
"Invalid function space type" );
}
free( coord_array );
free( element_nodes );
}
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;
}
