CubatureControlVolume<SpT,PT,WT>::
CubatureControlVolume(const shards::CellTopology cellTopology) {
// define primary cell topology with given one
primaryCellTopo_ = cellTopology;
// subcell is defined either hex or quad according to dimension
switch (primaryCellTopo_.getDimension()) {
case 2:
subcvCellTopo_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >());
break;
case 3:
subcvCellTopo_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >());
break;
}
// computation order is always one;
degree_ = 1;
// create subcell cubature points and weights and cache them
const ordinal_type subcvDegree = 2;
auto subcvCubature = DefaultCubatureFactory::create<SpT,PT,WT>(subcvCellTopo_, subcvDegree);
const auto numSubcvPoints = subcvCubature->getNumPoints();
const auto subcvDim = subcvCubature->getDimension();
subcvCubaturePoints_ = Kokkos::DynRankView<PT,SpT>("CubatureControlVolume::subcvCubaturePoints_",
numSubcvPoints, subcvDim);
subcvCubatureWeights_ = Kokkos::DynRankView<WT,SpT>("CubatureControlVolume::subcvCubatureWeights_",
numSubcvPoints);
subcvCubature->getCubature(subcvCubaturePoints_,
subcvCubatureWeights_);
}
void IntegrationValues2<Scalar>::
evaluateValues(const PHX::MDField<Scalar,Cell,NODE,Dim>& in_node_coordinates,
const PHX::MDField<Scalar,Cell,IP,Dim>& other_ip_coordinates)
{
getCubature(in_node_coordinates);
{
// Determine the permutation.
std::vector<size_type> permutation(other_ip_coordinates.dimension(1));
permuteToOther(ip_coordinates, other_ip_coordinates, permutation);
// Apply the permutation to the cubature arrays.
MDFieldArrayFactory af(prefix, alloc_arrays);
const size_type num_ip = dyn_cub_points.dimension(0);
{
const size_type num_dim = dyn_side_cub_points.dimension(1);
DblArrayDynamic old_dyn_side_cub_points = af.template buildArray<double,IP,Dim>(
"old_dyn_side_cub_points", num_ip, num_dim);
old_dyn_side_cub_points.deep_copy(dyn_side_cub_points);
for (size_type ip = 0; ip < num_ip; ++ip)
if (ip != permutation[ip])
for (size_type dim = 0; dim < num_dim; ++dim)
dyn_side_cub_points(ip, dim) = old_dyn_side_cub_points(permutation[ip], dim);
}
{
const size_type num_dim = dyn_cub_points.dimension(1);
DblArrayDynamic old_dyn_cub_points = af.template buildArray<double,IP,Dim>(
"old_dyn_cub_points", num_ip, num_dim);
old_dyn_cub_points.deep_copy(dyn_cub_points);
for (size_type ip = 0; ip < num_ip; ++ip)
if (ip != permutation[ip])
for (size_type dim = 0; dim < num_dim; ++dim)
dyn_cub_points(ip, dim) = old_dyn_cub_points(permutation[ip], dim);
}
{
DblArrayDynamic old_dyn_cub_weights = af.template buildArray<double,IP>(
"old_dyn_cub_weights", num_ip);
old_dyn_cub_weights.deep_copy(dyn_cub_weights);
for (size_type ip = 0; ip < dyn_cub_weights.dimension(0); ++ip)
if (ip != permutation[ip])
dyn_cub_weights(ip) = old_dyn_cub_weights(permutation[ip]);
}
{
const size_type num_cells = ip_coordinates.dimension(0), num_ip = ip_coordinates.dimension(1),
num_dim = ip_coordinates.dimension(2);
Array_CellIPDim old_ip_coordinates = af.template buildStaticArray<Scalar,Cell,IP,Dim>(
"old_ip_coordinates", num_cells, num_ip, num_dim);
Kokkos::deep_copy(old_ip_coordinates.get_kokkos_view(), ip_coordinates.get_kokkos_view());
for (size_type cell = 0; cell < num_cells; ++cell)
for (size_type ip = 0; ip < num_ip; ++ip)
if (ip != permutation[ip])
for (size_type dim = 0; dim < num_dim; ++dim)
ip_coordinates(cell, ip, dim) = old_ip_coordinates(cell, permutation[ip], dim);
}
// All subsequent calculations inherit the permutation.
}
evaluateRemainingValues(in_node_coordinates);
}
void IntegrationValues2<Scalar>::
evaluateValues(const PHX::MDField<Scalar,Cell,NODE,Dim> & in_node_coordinates)
{
if (int_rule->cv_type != "none") {
evaluateValuesCV(in_node_coordinates);
}
else {
getCubature(in_node_coordinates);
evaluateRemainingValues(in_node_coordinates);
}
}
int FunctionSpaceTools_Test03(const bool verbose) {
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);
typedef typename
Kokkos::Impl::is_space<DeviceSpaceType>::host_mirror_space::execution_space HostSpaceType ;
*outStream << "DeviceSpace:: "; DeviceSpaceType::print_configuration(*outStream, false);
*outStream << "HostSpace:: "; HostSpaceType::print_configuration(*outStream, false);
*outStream
<< "===============================================================================\n"
<< "| |\n"
<< "| Unit Test (FunctionSpaceTools) |\n"
<< "| |\n"
<< "| 1) Basic operator transformations and integration in HDIV: |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev ([email protected]) or |\n"
<< "| Denis Ridzal ([email protected]) or |\n"
<< "| Kyungjoo Kim ([email protected]). |\n"
<< "| |\n"
<< "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n"
<< "| Trilinos website: http://trilinos.sandia.gov |\n"
<< "| |\n"
<< "===============================================================================\n";
typedef CellTools<DeviceSpaceType> ct;
typedef FunctionSpaceTools<DeviceSpaceType> fst;
typedef Kokkos::DynRankView<ValueType,DeviceSpaceType> DynRankView;
int errorFlag = 0;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: correctness of math operations |\n"
<< "===============================================================================\n";
outStream->precision(20);
try {
DefaultCubatureFactory cub_factory;
shards::CellTopology cell_topo = shards::getCellTopologyData< shards::Hexahedron<8> >();
const auto cub_degree = 20;
auto cub = cub_factory.create<DeviceSpaceType,ValueType,ValueType>(cell_topo, cub_degree);
const auto space_dim = cub->getDimension();
const auto num_cub_points = cub->getNumPoints();
Basis_HDIV_HEX_I1_FEM<DeviceSpaceType> basis;
const auto num_fields = basis.getCardinality();
/* Cell geometries and orientations. */
const auto num_cells = 4;
const auto num_nodes = 8;
const ValueType 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
};
const ValueType facesigns[] = {
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. */
DynRankView ConstructWithLabel( cub_points, num_cub_points, space_dim);
DynRankView ConstructWithLabel( cub_weights, num_cub_points);
DynRankView ConstructWithLabel( cell_nodes, num_cells, num_nodes, space_dim);
DynRankView ConstructWithLabel( field_signs, num_cells, num_fields);
DynRankView ConstructWithLabel( jacobian, num_cells, num_cub_points, space_dim, space_dim);
DynRankView ConstructWithLabel( jacobian_det, num_cells, num_cub_points);
DynRankView ConstructWithLabel( weighted_measure, num_cells, num_cub_points);
DynRankView ConstructWithLabel( div_of_basis_at_cub_points, num_fields, num_cub_points);
DynRankView ConstructWithLabel( transformed_div_of_basis_at_cub_points, num_cells, num_fields, num_cub_points);
DynRankView ConstructWithLabel( weighted_transformed_div_of_basis_at_cub_points, num_cells, num_fields, num_cub_points);
DynRankView ConstructWithLabel( stiffness_matrices, num_cells, num_fields, num_fields);
DynRankView ConstructWithLabel( value_of_basis_at_cub_points, num_fields, num_cub_points, space_dim);
DynRankView ConstructWithLabel( transformed_value_of_basis_at_cub_points, num_cells, num_fields, num_cub_points, space_dim);
DynRankView ConstructWithLabel( weighted_transformed_value_of_basis_at_cub_points, num_cells, num_fields, num_cub_points, space_dim);
DynRankView ConstructWithLabel( mass_matrices, num_cells, num_fields, num_fields);
/******************* START COMPUTATION ***********************/
// get cubature points and weights
cub->getCubature(cub_points, cub_weights);
const Kokkos::DynRankView<const ValueType,Kokkos::LayoutRight,Kokkos::HostSpace> cell_nodes_host (&hexnodes[0], num_cells, num_nodes, space_dim);
const Kokkos::DynRankView<const ValueType,Kokkos::LayoutRight,Kokkos::HostSpace> field_signs_host(&facesigns[0], num_cells, num_fields);
Kokkos::deep_copy( cell_nodes, cell_nodes_host );
Kokkos::deep_copy( field_signs, field_signs_host );
// compute geometric cell information
ct::setJacobian(jacobian, cub_points, cell_nodes, cell_topo);
ct::setJacobianDet(jacobian_det, jacobian);
// compute weighted measure
fst::computeCellMeasure(weighted_measure, jacobian_det, cub_weights);
// **Computing stiffness matrices:
basis.getValues(div_of_basis_at_cub_points, cub_points, OPERATOR_DIV);
// transform divergences of basis functions
fst::HDIVtransformDIV(transformed_div_of_basis_at_cub_points,
jacobian_det,
div_of_basis_at_cub_points);
// multiply with weighted measure
fst::multiplyMeasure(weighted_transformed_div_of_basis_at_cub_points,
weighted_measure,
transformed_div_of_basis_at_cub_points);
// we can apply the field signs to the basis function arrays, or after the fact, see below
fst::applyFieldSigns(transformed_div_of_basis_at_cub_points, field_signs);
fst::applyFieldSigns(weighted_transformed_div_of_basis_at_cub_points, field_signs);
// compute stiffness matrices
fst::integrate(stiffness_matrices,
transformed_div_of_basis_at_cub_points,
weighted_transformed_div_of_basis_at_cub_points);
// **Computing mass matrices:
basis.getValues(value_of_basis_at_cub_points, cub_points, OPERATOR_VALUE);
// transform values of basis functions
fst::HDIVtransformVALUE(transformed_value_of_basis_at_cub_points,
jacobian,
jacobian_det,
value_of_basis_at_cub_points);
// multiply with weighted measure
fst::multiplyMeasure(weighted_transformed_value_of_basis_at_cub_points,
weighted_measure,
transformed_value_of_basis_at_cub_points);
// compute mass matrices
fst::integrate(mass_matrices,
transformed_value_of_basis_at_cub_points,
weighted_transformed_value_of_basis_at_cub_points);
// apply field signs
fst::applyLeftFieldSigns(mass_matrices, field_signs);
fst::applyRightFieldSigns(mass_matrices, field_signs);
/******************* STOP COMPUTATION ***********************/
/******************* START COMPARISON ***********************/
std::string basedir = "../testdata";
for (auto cid=0;cid<num_cells-1;++cid) {
std::stringstream namestream;
std::string filename;
namestream << basedir << "/mass_HDIV_HEX_I1_FEM" << "_" << "0" << cid+1 << ".dat";
namestream >> filename;
*outStream << "\nCell ID : " << cid << " mass matrix comparing with " << filename << "\n\n";
std::ifstream massfile(&filename[0]);
if (massfile.is_open()) {
const auto mass_matrix_cell = Kokkos::subdynrankview(mass_matrices, cid, Kokkos::ALL(), Kokkos::ALL());
errorFlag += compareToAnalytic(massfile,
mass_matrix_cell,
1e-10,
verbose);
massfile.close();
} else {
errorFlag = -1;
INTREPID2_TEST_FOR_EXCEPTION( true, std::runtime_error,
"Failed to open a file" );
}
namestream.clear();
namestream << basedir << "/stiff_HDIV_HEX_I1_FEM" << "_" << "0" << cid+1 << ".dat";
namestream >> filename;
*outStream << "\nCell ID : " << cid << " stiffness matrix comparing with " << filename << "\n\n";
std::ifstream stifffile(&filename[0]);
if (stifffile.is_open()) {
const auto stiffness_matrix_cell = Kokkos::subdynrankview(stiffness_matrices, cid, Kokkos::ALL(), Kokkos::ALL());
errorFlag += compareToAnalytic(stifffile,
stiffness_matrix_cell,
1e-10,
verbose);
stifffile.close();
} else {
errorFlag = -1;
INTREPID2_TEST_FOR_EXCEPTION( true, std::runtime_error,
"Failed to open a file" );
}
}
for (auto cid=3;cid<num_cells;++cid) {
std::stringstream namestream;
std::string filename;
namestream << basedir << "/mass_fp_HDIV_HEX_I1_FEM" << "_" << "0" << cid+1 << ".dat";
namestream >> filename;
*outStream << "\nCell ID : " << cid << " mass matrix comparing with " << filename << "\n\n";
std::ifstream massfile(&filename[0]);
if (massfile.is_open()) {
const auto mass_matrix_cell = Kokkos::subdynrankview(mass_matrices, cid, Kokkos::ALL(), Kokkos::ALL());
errorFlag += compareToAnalytic(massfile,
mass_matrix_cell,
1e-4,
verbose,
INTREPID2_UTILS_SCALAR);
massfile.close();
} else {
errorFlag = -1;
INTREPID2_TEST_FOR_EXCEPTION( true, std::runtime_error,
"Failed to open a file" );
}
namestream.clear();
namestream << basedir << "/stiff_fp_HDIV_HEX_I1_FEM" << "_" << "0" << cid+1 << ".dat";
namestream >> filename;
*outStream << "\nCell ID : " << cid << " stiffness matrix comparing with " << filename << "\n\n";
std::ifstream stifffile(&filename[0]);
if (stifffile.is_open()) {
const auto stiffness_matrix_cell = Kokkos::subdynrankview(stiffness_matrices, cid, Kokkos::ALL(), Kokkos::ALL());
errorFlag += compareToAnalytic(stifffile,
stiffness_matrix_cell,
1e-4,
verbose,
INTREPID2_UTILS_SCALAR);
stifffile.close();
} else {
errorFlag = -1;
INTREPID2_TEST_FOR_EXCEPTION( true, std::runtime_error,
"Failed to open a file" );
}
}
/******************* 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);
return errorFlag;
}
void IntegrationValues2<Scalar>::
evaluateValues(const PHX::MDField<Scalar,Cell,NODE,Dim> & in_node_coordinates)
{
getCubature(in_node_coordinates);
evaluateRemainingValues(in_node_coordinates);
}
int ComputeBasis_HGRAD_Vector(const ordinal_type nworkset,
const ordinal_type C,
const ordinal_type order,
const bool verbose) {
typedef Vector<VectorTagType> VectorType;
typedef typename VectorTagType::value_type ValueType;
constexpr int VectorLength = VectorTagType::length;
Teuchos::RCP<std::ostream> verboseStream;
Teuchos::oblackholestream bhs; // outputs nothing
if (verbose)
verboseStream = Teuchos::rcp(&std::cout, false);
else
verboseStream = Teuchos::rcp(&bhs, false);
Teuchos::oblackholestream oldFormatState;
oldFormatState.copyfmt(std::cout);
typedef typename
Kokkos::Impl::is_space<DeviceSpaceType>::host_mirror_space::execution_space HostSpaceType ;
*verboseStream << "DeviceSpace:: "; DeviceSpaceType::print_configuration(*verboseStream, false);
*verboseStream << "HostSpace:: "; HostSpaceType::print_configuration(*verboseStream, false);
*verboseStream << "VectorLength:: " << (VectorLength) << "\n";
using BasisTypeHost = Basis_HGRAD_HEX_C1_FEM<HostSpaceType,ValueType,ValueType>;
using ImplBasisType = Impl::Basis_HGRAD_HEX_C1_FEM;
using range_type = Kokkos::pair<ordinal_type,ordinal_type>;
constexpr size_t LLC_CAPACITY = 32*1024*1024;
Intrepid2::Test::Flush<LLC_CAPACITY,DeviceSpaceType> flush;
Kokkos::Impl::Timer timer;
double t_vectorize = 0;
int errorFlag = 0;
BasisTypeHost hostBasis;
const auto cellTopo = hostBasis.getBaseCellTopology();
auto cubature = DefaultCubatureFactory::create<DeviceSpaceType,ValueType,ValueType>(cellTopo, order);
const ordinal_type
numCells = C,
numCellsAdjusted = C/VectorLength + (C%VectorLength > 0),
numVerts = cellTopo.getVertexCount(),
numDofs = hostBasis.getCardinality(),
numPoints = cubature->getNumPoints(),
spaceDim = cubature->getDimension();
Kokkos::DynRankView<ValueType,HostSpaceType> dofCoordsHost("dofCoordsHost", numDofs, spaceDim);
hostBasis.getDofCoords(dofCoordsHost);
const auto refNodesHost = Kokkos::subview(dofCoordsHost, range_type(0, numVerts), Kokkos::ALL());
// pertub nodes
Kokkos::DynRankView<VectorType,HostSpaceType> worksetCellsHost("worksetCellsHost", numCellsAdjusted, numVerts, spaceDim);
for (ordinal_type cell=0;cell<numCells;++cell) {
for (ordinal_type i=0;i<numVerts;++i)
for (ordinal_type j=0;j<spaceDim;++j) {
ValueType val = (rand()/(RAND_MAX + 1.0))*0.2 -0.1;
worksetCellsHost(cell/VectorLength, i, j)[cell%VectorLength] = refNodesHost(i, j) + val;
}
}
auto worksetCells = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), worksetCellsHost);
Kokkos::deep_copy(worksetCells, worksetCellsHost);
Kokkos::DynRankView<ValueType,DeviceSpaceType> refPoints("refPoints", numPoints, spaceDim), refWeights("refWeights", numPoints);
cubature->getCubature(refPoints, refWeights);
std::cout
<< "===============================================================================\n"
<< " Performance Test evaluating ComputeBasis \n"
<< " # of workset = " << nworkset << "\n"
<< " Test Array Structure (C,F,P,D) = " << numCells << ", " << numDofs << ", " << numPoints << ", " << spaceDim << "\n"
<< "===============================================================================\n";
*verboseStream
<< "\n"
<< "===============================================================================\n"
<< "TEST 1: evaluateFields vector version\n"
<< "===============================================================================\n";
try {
Kokkos::DynRankView<ValueType,DeviceSpaceType>
refBasisValues("refBasisValues", numDofs, numPoints),
refBasisGrads ("refBasisGrads", numDofs, numPoints, spaceDim);
ImplBasisType::getValues<DeviceSpaceType>(refBasisValues, refPoints, OPERATOR_VALUE);
ImplBasisType::getValues<DeviceSpaceType>(refBasisGrads, refPoints, OPERATOR_GRAD);
const ordinal_type ibegin = -3;
// testing vertical approach
{
Kokkos::DynRankView<VectorType,DeviceSpaceType>
weightedBasisValues("weightedBasisValues", numCellsAdjusted, numDofs, numPoints),
weightedBasisGrads ("weightedBasisGrads", numCellsAdjusted, numDofs, numPoints, spaceDim);
typedef F_hgrad_eval<VectorType,ValueType,DeviceSpaceType> FunctorType;
using range_policy_type = Kokkos::Experimental::MDRangePolicy
< DeviceSpaceType, Kokkos::Experimental::Rank<2>, Kokkos::IndexType<ordinal_type> >;
range_policy_type policy( { 0, 0 },
{ numCellsAdjusted, numPoints } );
FunctorType functor(weightedBasisValues,
weightedBasisGrads,
refBasisGrads,
worksetCells,
refWeights,
refBasisValues,
refBasisGrads);
for (ordinal_type iwork=ibegin;iwork<nworkset;++iwork) {
flush.run();
DeviceSpaceType::fence();
timer.reset();
Kokkos::parallel_for(policy, functor);
DeviceSpaceType::fence();
t_vectorize += (iwork >= 0)*timer.seconds();
}
}
} catch (std::exception err) {
*verboseStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
*verboseStream << err.what() << '\n';
*verboseStream << "-------------------------------------------------------------------------------" << "\n\n";
errorFlag = -1000;
}
std::cout
<< "TEST HGRAD "
<< " t_vectorize = " << (t_vectorize/nworkset)
<< std::endl;
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);
return errorFlag;
}
int FunctionSpaceTools_Test04(const bool verbose) {
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);
typedef typename
Kokkos::Impl::is_space<DeviceSpaceType>::host_mirror_space::execution_space HostSpaceType ;
*outStream << "DeviceSpace:: "; DeviceSpaceType::print_configuration(*outStream, false);
*outStream << "HostSpace:: "; HostSpaceType::print_configuration(*outStream, false);
*outStream
<< "===============================================================================\n"
<< "| |\n"
<< "| Unit Test (FunctionSpaceTools) |\n"
<< "| |\n"
<< "| 1) volume integration on tetrahedra, testing dataIntegral |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev ([email protected]) or |\n"
<< "| Denis Ridzal ([email protected]) or |\n"
<< "| Kyungjoo Kim ([email protected]). |\n"
<< "| |\n"
<< "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n"
<< "| Trilinos website: http://trilinos.sandia.gov |\n"
<< "| |\n"
<< "===============================================================================\n";
typedef CellTools<DeviceSpaceType> ct;
typedef FunctionSpaceTools<DeviceSpaceType> fst;
typedef Kokkos::DynRankView<ValueType,DeviceSpaceType> DynRankView;
const auto tol = tolerence<ValueType>();
int errorFlag = 0;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: correctness of cell volumes |\n"
<< "===============================================================================\n";
outStream->precision(20);
try {
DefaultCubatureFactory cub_factory;
shards::CellTopology cell_topo = shards::getCellTopologyData< shards::Tetrahedron<4> >();
const auto cub_degree = 0;
auto cub = cub_factory.create<DeviceSpaceType,ValueType,ValueType>(cell_topo, cub_degree);
const auto space_dim = cub->getDimension();
const auto num_cub_points = cub->getNumPoints();
/* Cell geometries. */
const auto num_cells = 4;
const auto num_nodes = 4;
const ValueType tetnodes[] = {
// tet 0
0.0, 0.0, 0.0,
1.0, 0.0, 0.0,
0.0, 1.0, 0.0,
0.0, 0.0, 1.0,
// tet 1
4.0, 5.0, 1.0,
-6.0, 2.0, 0.0,
4.0, -3.0, -1.0,
0.0, 2.0, 5.0,
// tet 2
-6.0, -3.0, 1.0,
9.0, 2.0, 1.0,
8.9, 2.1, 0.9,
8.9, 2.1, 1.1,
// tet 3
-6.0, -3.0, 1.0,
12.0, 3.0, 1.0,
2.9, 0.1, 0.9,
2.9, 0.1, 1.1
};
/* Analytic volumes. */
const ValueType tetvols[] = {1.0/6.0, 194.0/3.0, 1.0/15.0, 2.0/25.0};
/* Computational arrays. */
DynRankView ConstructWithLabel( cub_points, num_cub_points, space_dim);
DynRankView ConstructWithLabel( cub_weights, num_cub_points);
DynRankView ConstructWithLabel( cell_nodes, num_cells, num_nodes, space_dim);
DynRankView ConstructWithLabel( jacobian, num_cells, num_cub_points, space_dim, space_dim);
DynRankView ConstructWithLabel( jacobian_det, num_cells, num_cub_points);
DynRankView ConstructWithLabel( weighted_measure, num_cells, num_cub_points);
DynRankView ConstructWithLabel( data_one, num_cells, num_cub_points);
DynRankView ConstructWithLabel( volumes, num_cells);
/******************* START COMPUTATION ***********************/
// get cubature points and weights
cub->getCubature(cub_points, cub_weights);
const Kokkos::DynRankView<const ValueType,Kokkos::LayoutRight,HostSpaceType> cell_nodes_host (&tetnodes[0], num_cells, num_nodes, space_dim);
Kokkos::deep_copy( cell_nodes, cell_nodes_host );
// compute geometric cell information
ct::setJacobian(jacobian, cub_points, cell_nodes, cell_topo);
ct::setJacobianDet(jacobian_det, jacobian);
// compute weighted measure
fst::computeCellMeasure(weighted_measure, jacobian_det, cub_weights);
Kokkos::deep_copy(data_one, 1.0);
// compute volumes
fst::integrate(volumes, data_one, weighted_measure);
/******************* STOP COMPUTATION ***********************/
// memcpy do implicit sync
const auto volumes_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), volumes);
Kokkos::deep_copy(volumes_host, volumes);
/******************* START COMPARISON ***********************/
for (auto cid=0;cid<num_cells-1;++cid) {
*outStream << "Volume of cell " << cid
<< " = " << std::setw(24) << volumes_host(cid)
<< " vs. Analytic value = " << std::setw(24) << tetvols[cid] << "\n";
errorFlag += (std::fabs(volumes_host(cid)-tetvols[cid]) > tol);
}
/******************* 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);
return errorFlag;
}