int main(int argc, char *argv[]) {
Teuchos::GlobalMPISession mpiSession(&argc, &argv);
// 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_HDIV_QUAD_I1_FEM) |\n" \
<< "| |\n" \
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
<< "| 2) Basis values for VALUE and DIV 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_HDIV_QUAD_I1_FEM<double, FieldContainer<double> > quadBasis;
int errorFlag = 0;
// Initialize throw counter for exception testing
int nException = 0;
int throwCounter = 0;
// Array with the 4 vertices of the reference Quadrilateral, its center and 4 more points
FieldContainer<double> quadNodes(9, 2);
quadNodes(0,0) = -1.0;
quadNodes(0,1) = -1.0;
quadNodes(1,0) = 1.0;
quadNodes(1,1) = -1.0;
quadNodes(2,0) = 1.0;
quadNodes(2,1) = 1.0;
quadNodes(3,0) = -1.0;
quadNodes(3,1) = 1.0;
quadNodes(4,0) = 0.0;
quadNodes(4,1) = 0.0;
quadNodes(5,0) = 0.0;
quadNodes(5,1) = -0.5;
quadNodes(6,0) = 0.0;
quadNodes(6,1) = 0.5;
quadNodes(7,0) = -0.5;
quadNodes(7,1) = 0.0;
quadNodes(8,0) = 0.5;
quadNodes(8,1) = 0.0;
// Generic array for the output values; needs to be properly resized depending on the operator type
FieldContainer<double> vals;
try {
int spaceDim = quadBasis.getBaseCellTopology().getDimension();
// exception #1: GRAD cannot be applied to HDIV functions
// resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim );
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD), throwCounter, nException );
// exception #2: CURL cannot be applied to HDIV functions
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_CURL), 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( quadBasis.getDofOrdinal(3,0,0), throwCounter, nException );
// exception #4
INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(1,1,1), throwCounter, nException );
// exception #5
INTREPID_TEST_COMMAND( quadBasis.getDofOrdinal(0,4,1), throwCounter, nException );
// exception #6
INTREPID_TEST_COMMAND( quadBasis.getDofTag(12), throwCounter, nException );
// exception #7
INTREPID_TEST_COMMAND( quadBasis.getDofTag(-1), throwCounter, nException );
#ifdef HAVE_INTREPID_DEBUG
// Exceptions 8- 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( quadBasis.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, spaceDim + 1);
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
// exception #10 output values must be of rank-3 for OPERATOR_VALUE
FieldContainer<double> badVals1(4, 5);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #11 output values must be of rank-2 for OPERATOR_DIV
FieldContainer<double> badVals2(4, 5, spaceDim);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_DIV), throwCounter, nException );
// exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
FieldContainer<double> badVals3(quadBasis.getCardinality() + 1, quadNodes.dimension(0), spaceDim);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
FieldContainer<double> badVals4(quadBasis.getCardinality() + 1, quadNodes.dimension(0));
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_DIV), throwCounter, nException );
// exception #14 incorrect 1st dimension of output array (must equal number of points)
FieldContainer<double> badVals5(quadBasis.getCardinality(), quadNodes.dimension(0) + 1, spaceDim);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals5, quadNodes, OPERATOR_VALUE), throwCounter, nException );
// exception #15 incorrect 1st dimension of output array (must equal number of points)
FieldContainer<double> badVals6(quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals6, quadNodes, OPERATOR_DIV), throwCounter, nException );
// exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
FieldContainer<double> badVals7(quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim + 1);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals7, quadNodes, OPERATOR_VALUE), 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
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 = quadBasis.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 = quadBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
std::vector<int> myTag = quadBasis.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 < quadBasis.getCardinality(); bfOrd++) {
std::vector<int> myTag = quadBasis.getDofTag(bfOrd);
int myBfOrd = quadBasis.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 pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout
double basisValues[] = {
0, -0.500000, 0, 0, 0, 0, -0.500000, 0, 0, -0.500000, 0.500000, 0, 0, \
0, 0, 0, 0, 0, 0.500000, 0, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0, \
0.500000, -0.500000, 0, 0, -0.250000, 0.250000, 0, 0, 0.250000, \
-0.250000, 0, 0, -0.375000, 0.250000, 0, 0, 0.125000, -0.250000, 0, \
0, -0.125000, 0.250000, 0, 0, 0.375000, -0.250000, 0, 0, -0.250000, \
0.125000, 0, 0, 0.250000, -0.375000, 0, 0, -0.250000, 0.375000, 0, 0, \
0.250000, -0.125000, 0
};
// DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout
double basisDivs[] = {
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
};
try {
// Dimensions for the output arrays:
int numPoints = quadNodes.dimension(0);
int numFields = quadBasis.getCardinality();
int spaceDim = quadBasis.getBaseCellTopology().getDimension();
// Generic array for values and curls that will be properly sized before each call
FieldContainer<double> vals;
// Check VALUE of basis functions: resize vals to rank-3 container:
vals.resize(numFields, numPoints, spaceDim);
quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
for (int k = 0; k < spaceDim; k++) {
// compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
int l = k + i * spaceDim + j * spaceDim * numFields;
if (std::abs(vals(i,j,k) - 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 << k << " ";
*outStream << "} computed value: " << vals(i,j,k)
<< " but reference value: " << basisValues[l] << "\n";
}
}
}
}
// Check DIV of basis function: resize vals to rank-2 container
vals.resize(numFields, numPoints);
quadBasis.getValues(vals, quadNodes, OPERATOR_DIV);
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) - basisDivs[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 divergence component: " << vals(i,j)
<< " but reference divergence component: " << basisDivs[l] << "\n";
}
}
}
}
// Catch unexpected errors
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 HDIV_QUAD_I1_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"
<< "| Unit Test (Basis_HDIV_QUAD_I1_FEM) |\n"
<< "| |\n"
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n"
<< "| 2) Basis values for VALUE and DIV operators |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev ([email protected]), |\n"
<< "| Denis Ridzal ([email protected]), |\n"
<< "| Kara Peterson ([email protected]), |\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 Kokkos::DynRankView<ValueType,DeviceSpaceType> DynRankView;
typedef Kokkos::DynRankView<ValueType,HostSpaceType> DynRankViewHost;
#define ConstructWithLabel(obj, ...) obj(#obj, __VA_ARGS__)
const ValueType tol = tolerence<ValueType>();
int errorFlag = 0;
typedef ValueType outputValueType;
typedef ValueType pointValueType;
Basis_HDIV_QUAD_I1_FEM<DeviceSpaceType,outputValueType,pointValueType> quadBasis;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: Basis creation, exceptions tests |\n"
<< "===============================================================================\n";
try{
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
// Array with the 4 vertices of the reference Quadrilateral, its center and 4 more points
DynRankView ConstructWithLabel(quadNodes, 9, 2);
const auto numFields = quadBasis.getCardinality();
const auto numPoints = quadNodes.dimension(0);
const auto spaceDim = quadBasis.getBaseCellTopology().getDimension();
DynRankView ConstructWithLabel(vals, numFields, numPoints, spaceDim );
{
// exception #1: GRAD cannot be applied to HDIV functions
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD) );
// exception #2: CURL cannot be applied to HDIV functions
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(vals, quadNodes, OPERATOR_CURL) );
}
{
// 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( quadBasis.getDofOrdinal(3,0,0) );
// exception #4
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofOrdinal(1,1,1) );
// exception #5
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofOrdinal(0,4,1) );
// exception #6
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofTag(12) );
// exception #7
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofTag(-1) );
}
// Exceptions 8- 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( quadBasis.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( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE) );
}
{
// exception #10 output values must be of rank-3 for OPERATOR_VALUE
DynRankView ConstructWithLabel(badVals1, 4, 5);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE) );
}
{
// exception #11 output values must be of rank-2 for OPERATOR_DIV
DynRankView ConstructWithLabel(badVals2, 4, 5, spaceDim);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals2, quadNodes, OPERATOR_DIV) );
}
{
// exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals3, quadBasis.getCardinality() + 1, quadNodes.dimension(0), spaceDim);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE) );
}
{
// exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals4, quadBasis.getCardinality() + 1, quadNodes.dimension(0));
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals4, quadNodes, OPERATOR_DIV) );
}
{
// exception #14 incorrect 1st dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals5, quadBasis.getCardinality(), quadNodes.dimension(0) + 1, spaceDim);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals5, quadNodes, OPERATOR_VALUE) );
}
{
// exception #15 incorrect 1st dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals6, quadBasis.getCardinality(), quadNodes.dimension(0) + 1);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals6, quadNodes, OPERATOR_DIV) );
}
{
// exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
DynRankView ConstructWithLabel(badVals7, quadBasis.getCardinality(), quadNodes.dimension(0), spaceDim + 1);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getValues(badVals7, quadNodes, OPERATOR_VALUE) );
}
#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 = quadBasis.getCardinality();
const auto allTags = quadBasis.getAllDofTags();
// Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
const auto dofTagSize = allTags.dimension(0);
for (size_type i=0;i<dofTagSize;++i) {
const auto bfOrd = quadBasis.getDofOrdinal(allTags(i,0), allTags(i,1), allTags(i,2));
const auto myTag = quadBasis.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 = quadBasis.getDofTag(bfOrd);
const auto myBfOrd = quadBasis.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 << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
*outStream << err.what() << '\n';
*outStream << "-------------------------------------------------------------------------------" << "\n\n";
errorFlag = -1000;
};
*outStream \
<< "\n"
<< "===============================================================================\n"\
<< "| TEST 3: correctness of basis function values |\n"\
<< "===============================================================================\n";
outStream -> precision(20);
try{
// VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout
double basisValues[] = {
0, -0.500000, 0, 0, 0, 0, -0.500000, 0, 0, -0.500000, 0.500000, 0, 0, \
0, 0, 0, 0, 0, 0.500000, 0, 0, 0.500000, 0, 0, 0, 0, 0, 0, 0, \
0.500000, -0.500000, 0, 0, -0.250000, 0.250000, 0, 0, 0.250000, \
-0.250000, 0, 0, -0.375000, 0.250000, 0, 0, 0.125000, -0.250000, 0, \
0, -0.125000, 0.250000, 0, 0, 0.375000, -0.250000, 0, 0, -0.250000, \
0.125000, 0, 0, 0.250000, -0.375000, 0, 0, -0.250000, 0.375000, 0, 0, \
0.250000, -0.125000, 0 };
// DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout
double basisDivs[] = {
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
0.25, 0.25, 0.25, 0.25,
};
DynRankViewHost ConstructWithLabel(quadNodesHost, 9, 2);
quadNodesHost(0,0) = -1.0; quadNodesHost(0,1) = -1.0;
quadNodesHost(1,0) = 1.0; quadNodesHost(1,1) = -1.0;
quadNodesHost(2,0) = 1.0; quadNodesHost(2,1) = 1.0;
quadNodesHost(3,0) = -1.0; quadNodesHost(3,1) = 1.0;
quadNodesHost(4,0) = 0.0; quadNodesHost(4,1) = 0.0;
quadNodesHost(5,0) = 0.0; quadNodesHost(5,1) = -0.5;
quadNodesHost(6,0) = 0.0; quadNodesHost(6,1) = 0.5;
quadNodesHost(7,0) = -0.5; quadNodesHost(7,1) = 0.0;
quadNodesHost(8,0) = 0.5; quadNodesHost(8,1) = 0.0;
const auto quadNodes = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), quadNodesHost);
Kokkos::deep_copy(quadNodes, quadNodesHost);
// Dimensions for the output arrays:
const auto numPoints = quadNodes.dimension(0);
const auto numFields = quadBasis.getCardinality();
const auto spaceDim = quadBasis.getBaseCellTopology().getDimension();
{
DynRankView ConstructWithLabel(vals, numFields, numPoints, spaceDim);
quadBasis.getValues(vals, quadNodes, OPERATOR_VALUE);
const 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) {
// compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
int l = k + i * spaceDim + j * spaceDim * numFields;
if (std::abs(vals_host(i,j,k) - 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 << k << " ";
*outStream << "} computed value: " << vals_host(i,j,k)
<< " but reference value: " << basisValues[l] << "\n";
}
}
}
{
// Check DIV of basis function: resize vals to rank-2 container
DynRankView ConstructWithLabel(vals, numFields, numPoints);
quadBasis.getValues(vals, quadNodes, OPERATOR_DIV);
const auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (int i = 0; i < numFields; i++) {
for (int j = 0; j < numPoints; j++) {
int l = i + j * numFields;
if (std::abs(vals_host(i,j) - basisDivs[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 divergence component: " << vals_host(i,j)
<< " but reference divergence component: " << basisDivs[l] << "\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{
const auto numFields = quadBasis.getCardinality();
const auto spaceDim = quadBasis.getBaseCellTopology().getDimension();
// Check exceptions.
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
{
DynRankView ConstructWithLabel(badVals,1,2,3);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofCoords(badVals) );
}
{
DynRankView ConstructWithLabel(badVals, 3,2);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofCoords(badVals) );
}
{
DynRankView ConstructWithLabel(badVals, 4,3);
INTREPID2_TEST_ERROR_EXPECTED( quadBasis.getDofCoords(badVals) );
}
#endif
// Check if number of thrown exceptions matches the one we expect
if (nthrow != ncatch) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
}
// Check mathematical correctness
DynRankViewHost ConstructWithLabel(normals, numFields,spaceDim); // normals at each point basis point
normals(0,0) = 0.0; normals(0,1) = -2.0;
normals(1,0) = 2.0; normals(1,1) = 0.0;
normals(2,0) = 0.0; normals(2,1) = 2.0;
normals(3,0) = -2.0; normals(3,1) = 0.0;
DynRankView ConstructWithLabel(cvals_dev, numFields,spaceDim);
DynRankView ConstructWithLabel(bvals_dev, numFields, numFields, spaceDim); // last dimension is spatial dim
quadBasis.getDofCoords(cvals_dev);
quadBasis.getValues(bvals_dev, cvals_dev, OPERATOR_VALUE);
const auto bvals = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), bvals_dev);
Kokkos::deep_copy(bvals, bvals_dev);
const auto cvals = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), cvals_dev);
Kokkos::deep_copy(cvals, cvals_dev);
ValueType expected_normal;
for (size_type i=0;i<numFields;++i) {
for (size_type j=0;j<numFields;++j) {
ValueType normal = 0.0;
for (size_type d=0;d<spaceDim;++d)
normal += bvals(i,j,d)*normals(j,d);
expected_normal = (i == j);
if (std::abs(normal - expected_normal) > tol) {
errorFlag++;
std::stringstream ss;
ss << "\nNormal component of basis function " << i << " at (" << cvals(j,0) << ", " << cvals(j,1)<< ") is " << normal << " but should be " << expected_normal << "\n";
*outStream << ss.str();
}
}
}
} 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;
}