int HGRAD_HEX_C2_FEM_Test01(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"
<< "| |\n"
<< "| Unit Test (Basis_HGRAD_HEX_C2_FEM) |\n"
<< "| |\n"
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n"
<< "| 2) Basis values for VALUE, GRAD, and Dk operators |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev ([email protected]), |\n"
<< "| Denis Ridzal ([email protected]), |\n"
<< "| Kara Peterson ([email protected]). |\n"
<< "| |\n"
<< "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n"
<< "| Trilinos website: http://trilinos.sandia.gov |\n"
<< "| |\n"
<< "===============================================================================\n";
typedef Kokkos::DynRankView<ValueType,DeviceSpaceType> DynRankView;
typedef Kokkos::DynRankView<ValueType,HostSpaceType> DynRankViewHost;
#define ConstructWithLabel(obj, ...) obj(#obj, __VA_ARGS__)
const ValueType tol = tolerence();
int errorFlag = 0;
// for virtual function, value and point types are declared in the class
typedef ValueType outputValueType;
typedef ValueType pointValueType;
Basis_HGRAD_HEX_C2_FEM<DeviceSpaceType,outputValueType,pointValueType> hexBasis;
//typedef typename decltype(hexBasis)::outputViewType outputViewType;
//typedef typename decltype(hexBasis)::pointViewType pointViewType;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: Basis creation, exception testing |\n"
<< "===============================================================================\n";
try{
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
// Define array containing the 8 vertices of the reference HEX, its center, 12 edge nodes and 6 face centers
DynRankView ConstructWithLabel( hexNodes, 27, 3);
// Generic array for the output values; needs to be properly resized depending on the operator type
const auto numFields = hexBasis.getCardinality();
const auto numPoints = hexNodes.dimension(0);
const auto spaceDim = hexBasis.getBaseCellTopology().getDimension();
const auto D2Cardin = getDkCardinality(OPERATOR_D2, spaceDim);
const auto workSize = numFields*numPoints*D2Cardin;
DynRankView ConstructWithLabel(work, workSize);
DynRankView vals(work.data(), numFields, numPoints);
{
// exception #1: CURL cannot be applied to scalar functions in 3D
// resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
DynRankView tmpvals = DynRankView(work.data(), numFields, numPoints, 4);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(tmpvals, hexNodes, OPERATOR_CURL) );
}
{
// exception #2: DIV cannot be applied to scalar functions in 3D
// resize vals to rank-2 container with dimensions (num. basis functions, num. points)
DynRankView tmpvals = DynRankView(work.data(), numFields, numPoints);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(tmpvals, hexNodes, OPERATOR_DIV) );
}
// Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
// getDofTag() to access invalid array elements thereby causing bounds check exception
{
// exception #3
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofOrdinal(3,10,0) );
// exception #4
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofOrdinal(1,2,1) );
// exception #5
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofOrdinal(0,4,1) );
// exception #6
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofTag(28) );
// exception #7
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofTag(-1) );
}
// Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
{
// exception #8: input points array must be of rank-2
DynRankView ConstructWithLabel(badPoints1, 4, 5, 3);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE) );
}
{
// exception #9 dimension 1 in the input point array must equal space dimension of the cell
DynRankView ConstructWithLabel(badPoints2, 4, spaceDim - 1);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE) );
}
{
// exception #10 output values must be of rank-2 for OPERATOR_VALUE
DynRankView ConstructWithLabel(badVals1, 4, 3, 1);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE) );
}
{
// exception #11 output values must be of rank-3 for OPERATOR_GRAD
DynRankView ConstructWithLabel(badVals2, 4, 3);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD) );
// exception #12 output values must be of rank-3 for OPERATOR_D1
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1) );
// exception #13 output values must be of rank-3 for OPERATOR_D2
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2) );
}
{
// exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals3, numFields + 1, numPoints);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE) );
}
{
// exception #15 incorrect 1st dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals4, numFields, numPoints + 1);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE) );
}
{
// exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
DynRankView ConstructWithLabel(badVals5, numFields, numPoints, spaceDim - 1);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD) );
}
{
// exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
DynRankView ConstructWithLabel(badVals6, numFields, numPoints, 40);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2) );
}
{
// exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
DynRankView ConstructWithLabel(badVals7, numFields, numPoints, 50);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3) );
}
#endif
// Check if number of thrown exceptions matches the one we expect
if (nthrow != ncatch) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << "# of catch ("<< ncatch << ") is different from # of throw (" << nthrow << ")\n";
}
} catch (std::logic_error err) {
*outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
*outStream << err.what() << '\n';
*outStream << "-------------------------------------------------------------------------------" << "\n\n";
errorFlag = -1000;
};
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"
<< "===============================================================================\n";
try{
const auto numFields = hexBasis.getCardinality();
const auto allTags = hexBasis.getAllDofTags();
// Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
const auto dofTagSize = allTags.dimension(0);
for (auto i = 0; i < dofTagSize; ++i) {
const auto bfOrd = hexBasis.getDofOrdinal(allTags(i,0), allTags(i,1), allTags(i,2));
const auto myTag = hexBasis.getDofTag(bfOrd);
if( !( (myTag(0) == allTags(i,0)) &&
(myTag(1) == allTags(i,1)) &&
(myTag(2) == allTags(i,2)) &&
(myTag(3) == allTags(i,3)) ) ) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << " getDofOrdinal( {"
<< allTags(i,0) << ", "
<< allTags(i,1) << ", "
<< allTags(i,2) << ", "
<< allTags(i,3) << "}) = " << bfOrd <<" but \n";
*outStream << " getDofTag(" << bfOrd << ") = { "
<< myTag(0) << ", "
<< myTag(1) << ", "
<< myTag(2) << ", "
<< myTag(3) << "}\n";
}
}
// Now do the same but loop over basis functions
for( auto bfOrd = 0; bfOrd < numFields; ++bfOrd) {
const auto myTag = hexBasis.getDofTag(bfOrd);
const auto myBfOrd = hexBasis.getDofOrdinal(myTag(0), myTag(1), myTag(2));
if( bfOrd != myBfOrd) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << " getDofTag(" << bfOrd << ") = { "
<< myTag(0) << ", "
<< myTag(1) << ", "
<< myTag(2) << ", "
<< myTag(3) << "} but getDofOrdinal({"
<< myTag(0) << ", "
<< myTag(1) << ", "
<< myTag(2) << ", "
<< myTag(3) << "} ) = " << myBfOrd << "\n";
}
}
} catch (std::logic_error err){
*outStream << err.what() << "\n\n";
errorFlag = -1000;
};
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 3: correctness of basis function values |\n"
<< "===============================================================================\n";
outStream -> precision(20);
try{
// VALUE: Each row gives the 8 correct basis set values at an evaluation point
const ValueType basisValues[] = {
1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000 };
// GRAD, D1, D2, D3 and D4 test values are stored in files due to their large size
std::string fileName;
std::ifstream dataFile;
// GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
std::vector<double> basisGrads; // Flat array for the gradient values.
fileName = "../testdata/HEX_C2_GradVals.dat";
dataFile.open(fileName.c_str());
INTREPID2_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open GRAD values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
std::string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
std::stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisGrads.push_back(temp); // push into vector
}
}
// It turns out that just closing and then opening the ifstream variable does not reset it
// and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
// scope the variables.
dataFile.close();
dataFile.clear();
//D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
std::vector<double> basisD2;
fileName = "../testdata/HEX_C2_D2Vals.dat";
dataFile.open(fileName.c_str());
INTREPID2_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D2 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
std::string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
std::stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD2.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
//D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
std::vector<double> basisD3;
fileName = "../testdata/HEX_C2_D3Vals.dat";
dataFile.open(fileName.c_str());
INTREPID2_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D3 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
std::string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
std::stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD3.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
//D4: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D4cardinality)
std::vector<double> basisD4;
fileName = "../testdata/HEX_C2_D4Vals.dat";
dataFile.open(fileName.c_str());
INTREPID2_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D4 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
std::string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
std::stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD4.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
DynRankViewHost ConstructWithLabel(hexNodesHost, 27, 3);
// vertices
hexNodesHost(0, 0) = -1.0; hexNodesHost(0, 1) = -1.0; hexNodesHost(0, 2) = -1.0;
hexNodesHost(1, 0) = 1.0; hexNodesHost(1, 1) = -1.0; hexNodesHost(1, 2) = -1.0;
hexNodesHost(2, 0) = 1.0; hexNodesHost(2, 1) = 1.0; hexNodesHost(2, 2) = -1.0;
hexNodesHost(3, 0) = -1.0; hexNodesHost(3, 1) = 1.0; hexNodesHost(3, 2) = -1.0;
hexNodesHost(4, 0) = -1.0; hexNodesHost(4, 1) = -1.0; hexNodesHost(4, 2) = 1.0;
hexNodesHost(5, 0) = 1.0; hexNodesHost(5, 1) = -1.0; hexNodesHost(5, 2) = 1.0;
hexNodesHost(6, 0) = 1.0; hexNodesHost(6, 1) = 1.0; hexNodesHost(6, 2) = 1.0;
hexNodesHost(7, 0) = -1.0; hexNodesHost(7, 1) = 1.0; hexNodesHost(7, 2) = 1.0;
// nodes on edges
hexNodesHost(8, 0) = 0.0; hexNodesHost(8, 1) = -1.0; hexNodesHost(8, 2) = -1.0;
hexNodesHost(9, 0) = 1.0; hexNodesHost(9, 1) = 0.0; hexNodesHost(9, 2) = -1.0;
hexNodesHost(10,0) = 0.0; hexNodesHost(10,1) = 1.0; hexNodesHost(10,2) = -1.0;
hexNodesHost(11,0) = -1.0; hexNodesHost(11,1) = 0.0; hexNodesHost(11,2) = -1.0;
hexNodesHost(12,0) = -1.0; hexNodesHost(12,1) = -1.0; hexNodesHost(12,2) = 0.0;
hexNodesHost(13,0) = 1.0; hexNodesHost(13,1) = -1.0; hexNodesHost(13,2) = 0.0;
hexNodesHost(14,0) = 1.0; hexNodesHost(14,1) = 1.0; hexNodesHost(14,2) = 0.0;
hexNodesHost(15,0) = -1.0; hexNodesHost(15,1) = 1.0; hexNodesHost(15,2) = 0.0;
hexNodesHost(16,0) = 0.0; hexNodesHost(16,1) = -1.0; hexNodesHost(16,2) = 1.0;
hexNodesHost(17,0) = 1.0; hexNodesHost(17,1) = 0.0; hexNodesHost(17,2) = 1.0;
hexNodesHost(18,0) = 0.0; hexNodesHost(18,1) = 1.0; hexNodesHost(18,2) = 1.0;
hexNodesHost(19,0) = -1.0; hexNodesHost(19,1) = 0.0; hexNodesHost(19,2) = 1.0;
// center
hexNodesHost(20,0) = 0.0; hexNodesHost(20,1) = 0.0; hexNodesHost(20,2) = 0.0;
// Face nodes
hexNodesHost(21,0) = 0.0; hexNodesHost(21,1) = 0.0; hexNodesHost(21,2) = -1.0;
hexNodesHost(22,0) = 0.0; hexNodesHost(22,1) = 0.0; hexNodesHost(22,2) = 1.0;
hexNodesHost(23,0) = -1.0; hexNodesHost(23,1) = 0.0; hexNodesHost(23,2) = 0.0;
hexNodesHost(24,0) = 1.0; hexNodesHost(24,1) = 0.0; hexNodesHost(24,2) = 0.0;
hexNodesHost(25,0) = 0.0; hexNodesHost(25,1) = -1.0; hexNodesHost(25,2) = 0.0;
hexNodesHost(26,0) = 0.0; hexNodesHost(26,1) = 1.0; hexNodesHost(26,2) = 0.0;
auto hexNodes = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), hexNodesHost);
Kokkos::deep_copy(hexNodes, hexNodesHost);
// Dimensions for the output arrays:
const auto numFields = hexBasis.getCardinality();
const auto numPoints = hexNodes.dimension(0);
const auto spaceDim = hexBasis.getBaseCellTopology().getDimension();
const auto D2Cardin = getDkCardinality(OPERATOR_D2, spaceDim);
const auto D3Cardin = getDkCardinality(OPERATOR_D3, spaceDim);
const auto D4Cardin = getDkCardinality(OPERATOR_D4, spaceDim);
{
// Generic array for values, grads, curls, etc. that will be properly sized before each call
DynRankView ConstructWithLabel(vals, numFields, numPoints);
// Check VALUE of basis functions: resize vals to rank-2 container:
hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; ++i) {
for (auto j = 0; j < numPoints; ++j) {
const auto l = i + j * numFields;
if (std::abs(vals_host(i,j) - basisValues[l]) > tol ) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";
*outStream << "} computed value: " << vals_host(i,j)
<< " but reference value: " << basisValues[l] << "\n";
}
}
}
}
{
DynRankView ConstructWithLabel(vals, numFields, numPoints, spaceDim);
// Check GRAD of basis function: resize vals to rank-3 container
hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; ++i) {
for (auto j = 0; j < numPoints; ++j) {
for (auto k = 0; k < spaceDim; ++k) {
// basisGrads is (F,P,D), compute offset:
const auto l = k + j * spaceDim + i * spaceDim * numPoints;
if (std::abs(vals_host(i,j,k) - basisGrads[l]) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed grad component: " << vals_host(i,j,k)
<< " but reference grad component: " << basisGrads[l] << "\n";
}
}
}
}
// Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; ++i) {
for (auto j = 0; j < numPoints; ++j) {
for (auto k = 0; k < spaceDim; ++k) {
// basisGrads is (F,P,D), compute offset:
const auto l = k + j * spaceDim + i * spaceDim * numPoints;
if (std::abs(vals_host(i,j,k) - basisGrads[l]) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D1 component: " << vals_host(i,j,k)
<< " but reference D1 component: " << basisGrads[l] << "\n";
}
}
}
}
}
{
// Check D2 of basis function
DynRankView ConstructWithLabel(vals, numFields, numPoints, D2Cardin);
hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; ++i) {
for (auto j = 0; j < numPoints; ++j) {
for (auto k = 0; k < D2Cardin; ++k) {
// basisD2 is (F,P,Dk), compute offset:
const auto l = k + j * D2Cardin + i * D2Cardin * numPoints;
if (std::abs(vals_host(i,j,k) - basisD2[l]) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D2 component: " << vals_host(i,j,k)
<< " but reference D2 component: " << basisD2[l] << "\n";
}
}
}
}
}
{
// Check D3 of basis function
DynRankView ConstructWithLabel(vals, numFields, numPoints, D3Cardin);
hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; ++i) {
for (auto j = 0; j < numPoints; ++j) {
for (auto k = 0; k < D3Cardin; ++k) {
// basisD3 is (F,P,Dk), compute offset:
const auto l = k + j * D3Cardin + i * D3Cardin * numPoints;
if (std::abs(vals_host(i,j,k) - basisD3[l]) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D3 component: " << vals_host(i,j,k)
<< " but reference D3 component: " << basisD3[l] << "\n";
}
}
}
}
}
{
// Check D4 of basis function
DynRankView ConstructWithLabel(vals, numFields, numPoints, D4Cardin);
hexBasis.getValues(vals, hexNodes, OPERATOR_D4);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i = 0; i < numFields; i++) {
for (auto j = 0; j < numPoints; j++) {
for (auto k = 0; k < D4Cardin; k++) {
// basisD4 is (F,P,Dk), compute offset:
int l = k + j * D4Cardin + i * D4Cardin * numPoints;
if (std::abs(vals_host(i,j,k) - basisD4[l]) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D4 component: " << vals_host(i,j,k)
<< " but reference D4 component: " << basisD2[l] << "\n"; //D2 same as D4?
}
}
}
}
}
{
// Check D7 to D10 - must be zero. This basis does not support D5 and D6
const EOperator ops[] = { OPERATOR_D7,
OPERATOR_D8,
OPERATOR_D9,
OPERATOR_D10,
OPERATOR_MAX };
for (auto h=0;ops[h]!=OPERATOR_MAX;++h) {
const auto op = ops[h];
// The last dimension is the number of kth derivatives and needs to be resized for every Dk
const auto DkCardin = getDkCardinality(op, spaceDim);
DynRankView ConstructWithLabel(vals, numFields, numPoints, DkCardin);
hexBasis.getValues(vals, hexNodes, op);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (auto i1 = 0; i1 < numFields; ++i1)
for (auto i2 = 0; i2 < numPoints; ++i2)
for (auto i3 = 0; i3 < DkCardin; ++i3) {
if (std::abs(vals_host(i1,i2,i3)) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Get the multi-index of the value where the error is and the operator order
const auto ord = Intrepid2::getOperatorOrder(op);
*outStream << " At multi-index { "<<i1<<" "<<i2 <<" "<<i3;
*outStream << "} computed D"<< ord <<" component: " << vals_host(i1,i2,i3)
<< " but reference D" << ord << " component: 0 \n";
}
}
}
}
} catch (std::logic_error err) {
*outStream << err.what() << "\n\n";
errorFlag = -1000;
};
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 4: correctness of DoF locations |\n"
<< "===============================================================================\n";
try{
const auto numFields = hexBasis.getCardinality();
const auto spaceDim = hexBasis.getBaseCellTopology().getDimension();
// Check exceptions.
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
{
DynRankView ConstructWithLabel(badVals, 1, 2, 3);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofCoords(badVals) );
}
{
DynRankView ConstructWithLabel(badVals, 3, 2);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofCoords(badVals) );
}
{
DynRankView ConstructWithLabel(badVals, 27, 2);
INTREPID2_TEST_ERROR_EXPECTED( hexBasis.getDofCoords(badVals) );
}
#endif
// Check if number of thrown exceptions matches the one we expect
if (nthrow != ncatch) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << "# of catch ("<< ncatch << ") is different from # of throw (" << ncatch << ")\n";
}
DynRankView ConstructWithLabel(bvals, numFields, numFields);
DynRankView ConstructWithLabel(cvals, numFields, spaceDim);
// Check mathematical correctness.
hexBasis.getDofCoords(cvals);
hexBasis.getValues(bvals, cvals, OPERATOR_VALUE);
auto cvals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), cvals);
Kokkos::deep_copy(cvals_host, cvals);
auto bvals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), bvals);
Kokkos::deep_copy(bvals_host, bvals);
char buffer[120];
for (auto i=0; i<bvals.dimension(0); ++i) {
for (auto j=0; j<bvals.dimension(1); ++j) {
if ((i != j) && (std::abs(bvals_host(i,j) - 0.0) > tol)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals_host(i,0), cvals_host(i,1), cvals_host(i,2), bvals_host(i,j), 0.0);
*outStream << buffer;
}
else if ((i == j) && (std::abs(bvals_host(i,j) - 1.0) > tol)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals_host(i,0), cvals_host(i,1), cvals_host(i,2), bvals_host(i,j), 1.0);
*outStream << buffer;
}
}
}
} catch (std::logic_error err){
*outStream << err.what() << "\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;
}
int main(int argc, char *argv[]) {
Teuchos::GlobalMPISession mpiSession(&argc, &argv);
Kokkos::initialize();
// This little trick lets us print to std::cout only if
// a (dummy) command-line argument is provided.
int iprint = argc - 1;
Teuchos::RCP<std::ostream> outStream;
Teuchos::oblackholestream bhs; // outputs nothing
if (iprint > 0)
outStream = Teuchos::rcp(&std::cout, false);
else
outStream = Teuchos::rcp(&bhs, false);
// Save the format state of the original std::cout.
Teuchos::oblackholestream oldFormatState;
oldFormatState.copyfmt(std::cout);
*outStream \
<< "===============================================================================\n" \
<< "| |\n" \
<< "| Unit Test (Basis_HGRAD_HEX_C2_FEM) |\n" \
<< "| |\n" \
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
<< "| 2) Basis values for VALUE, GRAD, and Dk operators |\n" \
<< "| |\n" \
<< "| Questions? Contact Pavel Bochev ([email protected]), |\n" \
<< "| Denis Ridzal ([email protected]), |\n" \
<< "| Kara Peterson ([email protected]). |\n" \
<< "| |\n" \
<< "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
<< "| Trilinos website: http://trilinos.sandia.gov |\n" \
<< "| |\n" \
<< "===============================================================================\n"\
<< "| TEST 1: Basis creation, exception testing |\n"\
<< "===============================================================================\n";
// Define basis and error flag
Basis_HGRAD_HEX_C2_FEM<double, FieldContainer<double> > hexBasis;
int errorFlag = 0;
// Initialize throw counter for exception testing
int nException = 0;
int throwCounter = 0;
// Define arrayS containing the 27 nodes of hexahedron<27> topology
FieldContainer<double> hexNodes(27, 3);
// vertices
hexNodes(0, 0) = -1.0; hexNodes(0, 1) = -1.0; hexNodes(0, 2) = -1.0;
hexNodes(1, 0) = 1.0; hexNodes(1, 1) = -1.0; hexNodes(1, 2) = -1.0;
hexNodes(2, 0) = 1.0; hexNodes(2, 1) = 1.0; hexNodes(2, 2) = -1.0;
hexNodes(3, 0) = -1.0; hexNodes(3, 1) = 1.0; hexNodes(3, 2) = -1.0;
hexNodes(4, 0) = -1.0; hexNodes(4, 1) = -1.0; hexNodes(4, 2) = 1.0;
hexNodes(5, 0) = 1.0; hexNodes(5, 1) = -1.0; hexNodes(5, 2) = 1.0;
hexNodes(6, 0) = 1.0; hexNodes(6, 1) = 1.0; hexNodes(6, 2) = 1.0;
hexNodes(7, 0) = -1.0; hexNodes(7, 1) = 1.0; hexNodes(7, 2) = 1.0;
// nodes on edges
hexNodes(8, 0) = 0.0; hexNodes(8, 1) = -1.0; hexNodes(8, 2) = -1.0;
hexNodes(9, 0) = 1.0; hexNodes(9, 1) = 0.0; hexNodes(9, 2) = -1.0;
hexNodes(10,0) = 0.0; hexNodes(10,1) = 1.0; hexNodes(10,2) = -1.0;
hexNodes(11,0) = -1.0; hexNodes(11,1) = 0.0; hexNodes(11,2) = -1.0;
hexNodes(12,0) = -1.0; hexNodes(12,1) = -1.0; hexNodes(12,2) = 0.0;
hexNodes(13,0) = 1.0; hexNodes(13,1) = -1.0; hexNodes(13,2) = 0.0;
hexNodes(14,0) = 1.0; hexNodes(14,1) = 1.0; hexNodes(14,2) = 0.0;
hexNodes(15,0) = -1.0; hexNodes(15,1) = 1.0; hexNodes(15,2) = 0.0;
hexNodes(16,0) = 0.0; hexNodes(16,1) = -1.0; hexNodes(16,2) = 1.0;
hexNodes(17,0) = 1.0; hexNodes(17,1) = 0.0; hexNodes(17,2) = 1.0;
hexNodes(18,0) = 0.0; hexNodes(18,1) = 1.0; hexNodes(18,2) = 1.0;
hexNodes(19,0) = -1.0; hexNodes(19,1) = 0.0; hexNodes(19,2) = 1.0;
// center
hexNodes(20,0) = 0.0; hexNodes(20,1) = 0.0; hexNodes(20,2) = 0.0;
// Face nodes
hexNodes(21,0) = 0.0; hexNodes(21,1) = 0.0; hexNodes(21,2) = -1.0;
hexNodes(22,0) = 0.0; hexNodes(22,1) = 0.0; hexNodes(22,2) = 1.0;
hexNodes(23,0) = -1.0; hexNodes(23,1) = 0.0; hexNodes(23,2) = 0.0;
hexNodes(24,0) = 1.0; hexNodes(24,1) = 0.0; hexNodes(24,2) = 0.0;
hexNodes(25,0) = 0.0; hexNodes(25,1) = -1.0; hexNodes(25,2) = 0.0;
hexNodes(26,0) = 0.0; hexNodes(26,1) = 1.0; hexNodes(26,2) = 0.0;
// Generic array for the output values; needs to be properly resized depending on the operator type
FieldContainer<double> vals;
try{
// exception #1: CURL cannot be applied to scalar functions in 3D
// resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 4 );
INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
// exception #2: DIV cannot be applied to scalar functions in 3D
// resize vals to rank-2 container with dimensions (num. basis functions, num. points)
vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0) );
INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_DIV), throwCounter, nException );
// Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
// getDofTag() to access invalid array elements thereby causing bounds check exception
// exception #3
INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,10,0), throwCounter, nException );
// exception #4
INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,2,1), throwCounter, nException );
// exception #5
INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
// exception #6
INTREPID_TEST_COMMAND( hexBasis.getDofTag(28), throwCounter, nException );
// exception #7
INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
#ifdef HAVE_INTREPID2_DEBUG
// Exceptions 8-18 test exception handling with incorrectly dimensioned input/output arrays
// exception #8: input points array must be of rank-2
FieldContainer<double> badPoints1(4, 5, 3);
INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
// exception #9 dimension 1 in the input point array must equal space dimension of the cell
FieldContainer<double> badPoints2(4, hexBasis.getBaseCellTopology().getDimension() - 1);
INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
// exception #10 output values must be of rank-2 for OPERATOR_VALUE
FieldContainer<double> badVals1(4, 3, 1);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #11 output values must be of rank-3 for OPERATOR_GRAD
FieldContainer<double> badVals2(4, 3);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_GRAD), throwCounter, nException );
// exception #12 output values must be of rank-3 for OPERATOR_D1
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D1), throwCounter, nException );
// exception #13 output values must be of rank-3 for OPERATOR_D2
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_D2), throwCounter, nException );
// exception #14 incorrect 0th dimension of output array (must equal number of basis functions)
FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #15 incorrect 1st dimension of output array (must equal number of points)
FieldContainer<double> badVals4(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0), hexBasis.getBaseCellTopology().getDimension() - 1);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_GRAD), throwCounter, nException );
// exception #17: incorrect 2nd dimension of output array (must equal D2 cardinality in 3D)
FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0), 40);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_D2), throwCounter, nException );
// exception #18: incorrect 2nd dimension of output array (must equal D3 cardinality in 3D)
FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 50);
INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_D3), throwCounter, nException );
#endif
}
catch (std::logic_error err) {
*outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
*outStream << err.what() << '\n';
*outStream << "-------------------------------------------------------------------------------" << "\n\n";
errorFlag = -1000;
};
// Check if number of thrown exceptions matches the one we expect
// Note Teuchos throw number will not pick up exceptions 3-7 and therefore will not match.
if (throwCounter != nException) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
}
*outStream \
<< "\n"
<< "===============================================================================\n"\
<< "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
<< "===============================================================================\n";
try{
std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
// Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
for (unsigned i = 0; i < allTags.size(); i++) {
int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
if( !( (myTag[0] == allTags[i][0]) &&
(myTag[1] == allTags[i][1]) &&
(myTag[2] == allTags[i][2]) &&
(myTag[3] == allTags[i][3]) ) ) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << " getDofOrdinal( {"
<< allTags[i][0] << ", "
<< allTags[i][1] << ", "
<< allTags[i][2] << ", "
<< allTags[i][3] << "}) = " << bfOrd <<" but \n";
*outStream << " getDofTag(" << bfOrd << ") = { "
<< myTag[0] << ", "
<< myTag[1] << ", "
<< myTag[2] << ", "
<< myTag[3] << "}\n";
}
}
// Now do the same but loop over basis functions
for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
if( bfOrd != myBfOrd) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
*outStream << " getDofTag(" << bfOrd << ") = { "
<< myTag[0] << ", "
<< myTag[1] << ", "
<< myTag[2] << ", "
<< myTag[3] << "} but getDofOrdinal({"
<< myTag[0] << ", "
<< myTag[1] << ", "
<< myTag[2] << ", "
<< myTag[3] << "} ) = " << myBfOrd << "\n";
}
}
}
catch (std::logic_error err){
*outStream << err.what() << "\n\n";
errorFlag = -1000;
};
*outStream \
<< "\n"
<< "===============================================================================\n"\
<< "| TEST 3: correctness of basis function values |\n"\
<< "===============================================================================\n";
outStream -> precision(20);
// VALUE: Each row gives the 8 correct basis set values at an evaluation point
double basisValues[] = {
1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000, 0, 0, 0, 0, 0, 0, 0, 0, \
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.000 };
// GRAD, D1, D2, D3 and D4 test values are stored in files due to their large size
std::string fileName;
std::ifstream dataFile;
// GRAD and D1 values are stored in (F,P,D) format in a data file. Read file and do the test
std::vector<double> basisGrads; // Flat array for the gradient values.
fileName = "./testdata/HEX_C2_GradVals.dat";
dataFile.open(fileName.c_str());
TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open GRAD values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisGrads.push_back(temp); // push into vector
}
}
// It turns out that just closing and then opening the ifstream variable does not reset it
// and subsequent open() command fails. One fix is to explicitely clear the ifstream, or
// scope the variables.
dataFile.close();
dataFile.clear();
//D2: flat array with the values of D2 applied to basis functions. Multi-index is (F,P,D2cardinality)
std::vector<double> basisD2;
fileName = "./testdata/HEX_C2_D2Vals.dat";
dataFile.open(fileName.c_str());
TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D2 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD2.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
//D3: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D3cardinality)
std::vector<double> basisD3;
fileName = "./testdata/HEX_C2_D3Vals.dat";
dataFile.open(fileName.c_str());
TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D3 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD3.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
//D4: flat array with the values of D3 applied to basis functions. Multi-index is (F,P,D4cardinality)
std::vector<double> basisD4;
fileName = "./testdata/HEX_C2_D4Vals.dat";
dataFile.open(fileName.c_str());
TEUCHOS_TEST_FOR_EXCEPTION( !dataFile.good(), std::logic_error,
">>> ERROR (HGRAD_HEX_C2/test01): could not open D4 values data file, test aborted.");
while (!dataFile.eof() ){
double temp;
string line; // string for one line of input file
std::getline(dataFile, line); // get next line from file
stringstream data_line(line); // convert to stringstream
while(data_line >> temp){ // extract value from line
basisD4.push_back(temp); // push into vector
}
}
dataFile.close();
dataFile.clear();
try{
// Dimensions for the output arrays:
int numFields = hexBasis.getCardinality();
int numPoints = hexNodes.dimension(0);
int spaceDim = hexBasis.getBaseCellTopology().getDimension();
// Generic array for values, grads, curls, etc. that will be properly sized before each call
FieldContainer<double> vals;
// Check VALUE of basis functions: resize vals to rank-2 container:
vals.resize(numFields, numPoints);
hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
int l = i + j * numFields;
if (std::abs(vals(i,j) - basisValues[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";
*outStream << "} computed value: " << vals(i,j)
<< " but reference value: " << basisValues[l] << "\n";
}
}
}
// Check GRAD of basis function: resize vals to rank-3 container
vals.resize(numFields, numPoints, spaceDim);
hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < spaceDim; k++) {
// basisGrads is (F,P,D), compute offset:
int l = k + j * spaceDim + i * spaceDim * numPoints;
if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed grad component: " << vals(i,j,k)
<< " but reference grad component: " << basisGrads[l] << "\n";
}
}
}
}
// Check D1 of basis function (do not resize vals because it has the correct size: D1 = GRAD)
hexBasis.getValues(vals, hexNodes, OPERATOR_D1);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < spaceDim; k++) {
// basisGrads is (F,P,D), compute offset:
int l = k + j * spaceDim + i * spaceDim * numPoints;
if (std::abs(vals(i,j,k) - basisGrads[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D1 component: " << vals(i,j,k)
<< " but reference D1 component: " << basisGrads[l] << "\n";
}
}
}
}
// Check D2 of basis function
int D2cardinality = Intrepid2::getDkCardinality(OPERATOR_D2, spaceDim);
vals.resize(numFields, numPoints, D2cardinality);
hexBasis.getValues(vals, hexNodes, OPERATOR_D2);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < D2cardinality; k++) {
// basisD2 is (F,P,Dk), compute offset:
int l = k + j * D2cardinality + i * D2cardinality * numPoints;
if (std::abs(vals(i,j,k) - basisD2[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D2 component: " << vals(i,j,k)
<< " but reference D2 component: " << basisD2[l] << "\n";
}
}
}
}
// Check D3 of basis function
int D3cardinality = Intrepid2::getDkCardinality(OPERATOR_D3, spaceDim);
vals.resize(numFields, numPoints, D3cardinality);
hexBasis.getValues(vals, hexNodes, OPERATOR_D3);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < D3cardinality; k++) {
// basisD3 is (F,P,Dk), compute offset:
int l = k + j * D3cardinality + i * D3cardinality * numPoints;
if (std::abs(vals(i,j,k) - basisD3[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D3 component: " << vals(i,j,k)
<< " but reference D3 component: " << basisD3[l] << "\n";
}
}
}
}
// Check D4 of basis function
int D4cardinality = Intrepid2::getDkCardinality(OPERATOR_D4, spaceDim);
vals.resize(numFields, numPoints, D4cardinality);
hexBasis.getValues(vals, hexNodes, OPERATOR_D4);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < D4cardinality; k++) {
// basisD4 is (F,P,Dk), compute offset:
int l = k + j * D4cardinality + i * D4cardinality * numPoints;
if (std::abs(vals(i,j,k) - basisD4[l]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Output the multi-index of the value where the error is:
*outStream << " At multi-index { ";
*outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
*outStream << "} computed D4 component: " << vals(i,j,k)
<< " but reference D4 component: " << basisD2[l] << "\n";
}
}
}
}
// Check D7 to D10 - must be zero. This basis does not support D5 and D6
for(EOperator op = OPERATOR_D7; op < OPERATOR_MAX; op++) {
// The last dimension is the number of kth derivatives and needs to be resized for every Dk
int DkCardin = Intrepid2::getDkCardinality(op, spaceDim);
vals.resize(numFields, numPoints, DkCardin);
hexBasis.getValues(vals, hexNodes, op);
for (int i = 0; i < vals.size(); i++) {
if (std::abs(vals[i]) > INTREPID_TOL) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Get the multi-index of the value where the error is and the operator order
std::vector<int> myIndex;
vals.getMultiIndex(myIndex,i);
int ord = Intrepid2::getOperatorOrder(op);
*outStream << " At multi-index { ";
for(int j = 0; j < vals.rank(); j++) {
*outStream << myIndex[j] << " ";
}
*outStream << "} computed D"<< ord <<" component: " << vals[i]
<< " but reference D" << ord << " component: 0 \n";
}
}
}
}
// Catch unexpected errors
catch (std::logic_error err) {
*outStream << err.what() << "\n\n";
errorFlag = -1000;
};
*outStream \
<< "\n"
<< "===============================================================================\n"\
<< "| TEST 4: correctness of DoF locations |\n"\
<< "===============================================================================\n";
try{
Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
Teuchos::rcp(new Basis_HGRAD_HEX_C2_FEM<double, FieldContainer<double> >);
Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
FieldContainer<double> cvals;
FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality());
// Check exceptions.
#ifdef HAVE_INTREPID2_DEBUG
cvals.resize(1,2,3);
INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
cvals.resize(3,2);
INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
cvals.resize(27,2);
INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
#endif
cvals.resize(27,3);
INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
// Check if number of thrown exceptions matches the one we expect
if (throwCounter != nException) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
}
// Check mathematical correctness.
basis->getValues(bvals, cvals, OPERATOR_VALUE);
char buffer[120];
for (int i=0; i<bvals.dimension(0); i++) {
for (int j=0; j<bvals.dimension(1); j++) {
if ((i != j) && (std::abs(bvals(i,j) - 0.0) > INTREPID_TOL)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 0.0);
*outStream << buffer;
}
else if ((i == j) && (std::abs(bvals(i,j) - 1.0) > INTREPID_TOL)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), bvals(i,j), 1.0);
*outStream << buffer;
}
}
}
}
catch (std::logic_error err){
*outStream << err.what() << "\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;
}
