int Orientation_Test05(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";
*outStream
<< "===============================================================================\n"
<< "| |\n"
<< "| Unit Test (OrientationTools, getModifiedHcurl_I1_Basis) |\n"
<< "| |\n"
<< "===============================================================================\n";
int errorFlag = 0;
const double tol = tolerence();
typedef OrientationTools<DeviceSpaceType> ots;
try {
{
*outStream << "\n -- Testing Quadrilateral \n\n";
Basis_HCURL_QUAD_I1_FEM<DeviceSpaceType> cellBasis;
const auto cellTopo = cellBasis.getBaseCellTopology();
const ordinal_type ndofBasis = cellBasis.getCardinality();
//
// 9 12 13 16
// 4 3 11 15
// 5 2 8 14
// 1 6 7 10
ordinal_type refMesh[9][4] = { { 1, 6, 2, 5 },
{ 6, 7, 8, 2 },
{ 7,10,14, 8 },
{ 5, 2, 3, 4 },
{ 2, 8,11, 3 },
{ 8,14,15,11 },
{ 4, 3,12, 9 },
{ 3,11,13,12 },
{11,15,16,13 } };
const ordinal_type numCells = 9, numVerts = 4, numEdges = 4;
// view to import refMesh from host
Kokkos::DynRankView<ordinal_type,Kokkos::LayoutRight,HostSpaceType>
elemNodesHost(&refMesh[0][0], numCells, numVerts);
auto elemNodes = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), elemNodesHost);
Kokkos::deep_copy(elemNodes, elemNodesHost);
// compute orientations for cells (one time computation)
Kokkos::DynRankView<Orientation,DeviceSpaceType> elemOrts("elemOrts", numCells);
ots::getOrientation(elemOrts, elemNodes, cellTopo);
auto elemOrtsHost = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), elemOrts);
Kokkos::deep_copy(elemOrtsHost, elemOrts);
// cell specific modified basis
Kokkos::DynRankView<double,DeviceSpaceType> outValues("outValues", numCells, ndofBasis);
Kokkos::DynRankView<double,DeviceSpaceType> refValues("refValues", numCells, ndofBasis);
auto refValuesHost = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), refValues);
for (auto cell=0;cell<numCells;++cell)
for (auto bf=0;bf<ndofBasis;++bf)
refValuesHost(cell, bf) = bf;
Kokkos::deep_copy(refValues, refValuesHost);
// modify refValues accounting for orientations
ots::modifyBasisByOrientation(outValues,
refValues,
elemOrts,
&cellBasis);
auto outValuesHost = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), outValues);
Kokkos::deep_copy(outValuesHost, outValues);
for (auto cell=0;cell<numCells;++cell) {
int flag = 0 ;
std::stringstream s1, s2;
ordinal_type orts[numEdges];
elemOrtsHost(cell).getEdgeOrientation(orts, numEdges);
const double ortVal[2] = { 1.0 , - 1.0 };
s1 << " :: edge(0000) = " ;
s2 << " :: edge(" << orts[0] << orts[1] << orts[2] << orts[3] << ") = ";
for (auto edgeId=0;edgeId<numEdges;++edgeId) {
const auto ndof = cellBasis.getDofTag(cellBasis.getDofOrdinal(1, edgeId, 0))(3);
for (auto i=0;i<ndof;++i) {
const auto refOrd = cellBasis.getDofOrdinal(1, edgeId, i);
const auto outOrd = cellBasis.getDofOrdinal(1, edgeId, i);
s1 << std::setw(4) << refValuesHost(cell, outOrd);
s2 << std::setw(4) << outValuesHost(cell, outOrd);
flag += (std::abs(ortVal[orts[edgeId]]*outValuesHost(cell, outOrd) - refValuesHost(cell, refOrd)) > tol);
}
s1 << " // ";
s2 << " // ";
}
*outStream << "\n cell = " << cell << "\n"
<< " - refValues = " << s1.str() << "\n"
<< " - outValues = " << s2.str() << "\n";
if (flag) {
*outStream << " ^^^^^^^^^^^^ FAILURE\n";
errorFlag += flag;
}
}
ots::clearCoeffMatrix();
}
} catch (std::exception err) {
std::cout << " Exeption\n";
*outStream << err.what() << "\n\n";
errorFlag = -1000;
}
if (errorFlag != 0)
std::cout << "End Result: TEST FAILED = " << errorFlag << "\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);
// 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_HCURL_QUAD_I1_FEM) |\n" \
<< "| |\n" \
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
<< "| 2) Basis values for VALUE and CURL 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_HCURL_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{
// exception #1: GRAD cannot be applied to HCURL functions
// resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0), 4 );
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_GRAD), throwCounter, nException );
// exception #2: DIV cannot be applied to HCURL functions
// resize vals to rank-2 container with dimensions (num. points, num. basis functions)
vals.resize(quadBasis.getCardinality(), quadNodes.dimension(0) );
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, 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( 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 8-15 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, quadBasis.getBaseCellTopology().getDimension() + 1);
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
// exception #10 output values must be of rank-3 for OPERATOR_VALUE in 2D
FieldContainer<double> badVals1(4, 3);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals1, quadNodes, OPERATOR_VALUE), throwCounter, nException );
FieldContainer<double> badCurls1(4,3,2);
// exception #11 output values must be of rank-2 for OPERATOR_CURL
INTREPID_TEST_COMMAND( quadBasis.getValues(badCurls1, quadNodes, OPERATOR_CURL), throwCounter, nException );
// exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
FieldContainer<double> badVals2(quadBasis.getCardinality() + 1, quadNodes.dimension(0), quadBasis.getBaseCellTopology().getDimension());
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals2, quadNodes, OPERATOR_VALUE), throwCounter, nException ) ;
// exception #13 incorrect 1st dimension of output array (must equal number of points)
FieldContainer<double> badVals3(quadBasis.getCardinality(), quadNodes.dimension(0) + 1, quadBasis.getBaseCellTopology().getDimension() );
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals3, quadNodes, OPERATOR_VALUE), throwCounter, nException ) ;
// exception #14: incorrect 2nd dimension of output array for VALUE (must equal the space dimension)
FieldContainer<double> badVals4(quadBasis.getCardinality(), quadNodes.dimension(0), quadBasis.getBaseCellTopology().getDimension() - 1);
INTREPID_TEST_COMMAND( quadBasis.getValues(badVals4, quadNodes, OPERATOR_VALUE), throwCounter, nException ) ;
// exception #15: D2 cannot be applied to HCURL functions
// resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
vals.resize(quadBasis.getCardinality(),
quadNodes.dimension(0),
Intrepid2::getDkCardinality(OPERATOR_D2, quadBasis.getBaseCellTopology().getDimension()));
INTREPID_TEST_COMMAND( quadBasis.getValues(vals, quadNodes, OPERATOR_D2), 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";
}
//#endif
*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 4x2 correct basis set values at an evaluation point: (P,F,D) layout
double basisValues[] = {
0.500000, 0, 0, 0, 0, 0, 0, -0.500000, 0.500000, 0, 0, 0.500000, 0, \
0, 0, 0, 0, 0, 0, 0.500000, -0.500000, 0, 0, 0, 0, 0, 0, 0, \
-0.500000, 0, 0, -0.500000, 0.250000, 0, 0, 0.250000, -0.250000, 0, \
0, -0.250000, 0.375000, 0, 0, 0.250000, -0.125000, 0, 0, -0.250000, \
0.125000, 0, 0, 0.250000, -0.375000, 0, 0, -0.250000, 0.250000, 0, 0, \
0.125000, -0.250000, 0, 0, -0.375000, 0.250000, 0, 0, 0.375000, \
-0.250000, 0, 0, -0.125000
};
// CURL: correct values in (F,P) format
double basisCurls[] = {
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 numFields = quadBasis.getCardinality();
int numPoints = quadNodes.dimension(0);
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 CURL of basis function: resize vals to rank-2 container
vals.resize(numFields, numPoints);
quadBasis.getValues(vals, quadNodes, OPERATOR_CURL);
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) - basisCurls[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 curl component: " << vals(i,j)
<< " but reference curl component: " << basisCurls[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{
Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
Teuchos::rcp(new Basis_HCURL_QUAD_I1_FEM<double, FieldContainer<double> >);
Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
int spaceDim = 2;
FieldContainer<double> cvals;
FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality(),2); // last dimension is spatial dim
// Check exceptions.
#ifdef HAVE_INTREPID_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(4,3);
INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
#endif
cvals.resize(4,spaceDim);
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
FieldContainer<double> tangents(basis->getCardinality(),spaceDim); // tangents at each point basis point
tangents(0,0) = 2.0; tangents(0,1) = 0.0;
tangents(1,0) = 0.0; tangents(1,1) = 2.0;
tangents(2,0) = -2.0; tangents(2,1) = 0.0;
tangents(3,0) = 0.0; tangents(3,1) = -2.0;
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++) {
double tangent = 0.0;
for(int d=0;d<spaceDim;d++)
tangent += bvals(i,j,d)*tangents(j,d);
if ((i != j) && (std::abs(tangent - 0.0) > INTREPID_TOL)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), tangent, 0.0);
*outStream << buffer;
}
else if ((i == j) && (std::abs(tangent - 1.0) > INTREPID_TOL)) {
errorFlag++;
sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), tangent, 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;
}