int HGRAD_LINE_C1_FEM_Test01(const bool verbose) {
typedef ValueType value_type;
Teuchos::RCP<std::ostream> outStream;
Teuchos::oblackholestream bhs; // outputs nothing
if (verbose)
outStream = Teuchos::rcp(&std::cout, false);
else
outStream = Teuchos::rcp(&bhs, false);
Teuchos::oblackholestream oldFormatState;
oldFormatState.copyfmt(std::cout);
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_HGRAD_LINE_C1_FEM) |\n"
<< "| |\n"
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n"
<< "| 2) Basis values for VALUE, GRAD, CURL, DIV, 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<value_type,DeviceSpaceType> DynRankView;
#define ConstructWithLabel(obj, ...) obj(#obj, __VA_ARGS__)
const value_type tol = Parameters::Tolerence;
int errorFlag = 0;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: Basis creation, exceptions tests |\n"
<< "===============================================================================\n";
try{
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
Basis_HGRAD_LINE_C1_FEM<DeviceSpaceType> lineBasis;
// Define array containing the 2 vertices of the reference Line, its center and another point
DynRankView ConstructWithLabel(lineNodes, 4, 1);
// Generic array for the output values; needs to be properly resized depending on the operator type
const auto numFields = lineBasis.getCardinality();
const auto numPoints = lineNodes.dimension(0);
const auto spaceDim = lineBasis.getBaseCellTopology().getDimension();
const auto workSize = numFields*numPoints*spaceDim;
DynRankView ConstructWithLabel(work, workSize);
// resize vals to rank-2 container with dimensions
DynRankView vals = DynRankView(work.data(), numFields, numPoints);
// Exceptions 1-5: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
// getDofTag() to access invalid array elements thereby causing bounds check exception
{
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getDofOrdinal(2,0,0), nthrow, ncatch ); // #1
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getDofOrdinal(1,1,1), nthrow, ncatch ); // #2
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getDofOrdinal(0,4,0), nthrow, ncatch ); // #3
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getDofTag(5), nthrow, ncatch ); // #4
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getDofTag(-1), nthrow, ncatch ); // #5
}
// Exceptions 6-17 test exception handling with incorrectly dimensioned input/output arrays
{
// exception #6: input points array must be of rank-2
DynRankView ConstructWithLabel(badPoints, 4, 5, 3);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(vals, badPoints, OPERATOR_VALUE), nthrow, ncatch );
}
{
// exception #7 dimension 1 in the input point array must equal space dimension of the cell
DynRankView ConstructWithLabel(badPoints, 4, 2);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(vals, badPoints, OPERATOR_VALUE), nthrow, ncatch );
}
{
// exception #8 output values must be of rank-2 for OPERATOR_VALUE
DynRankView ConstructWithLabel(badVals, 4, 3, 1);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_VALUE), nthrow, ncatch );
}
{
// exception #9 output values must be of rank-3 for OPERATOR_GRAD
DynRankView ConstructWithLabel(badVals, 4, 3);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_GRAD), nthrow, ncatch );
// exception #10 output values must be of rank-3 for OPERATOR_DIV
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_DIV), nthrow, ncatch );
// exception #11 output values must be of rank-3 for OPERATOR_CURL
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_CURL), nthrow, ncatch );
// exception #12 output values must be of rank-3 for OPERATOR_D2
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_D2), nthrow, ncatch );
}
{
// exception #13 incorrect 1st dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals, numFields + 1, numPoints);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_VALUE), nthrow, ncatch );
}
{
// exception #14 incorrect 0th dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals, numFields, numPoints + 1);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_VALUE), nthrow, ncatch );
}
{
// exception #15: incorrect 2nd dimension of output array (must equal the space dimension)
DynRankView ConstructWithLabel(badVals, numFields, numPoints, 2);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_GRAD), nthrow, ncatch );
}
{
// exception #16: incorrect 2nd dimension of output array (must equal D2 cardinality in 1D)
DynRankView ConstructWithLabel(badVals, numFields, numPoints, 40);
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_D2), nthrow, ncatch );
// exception #17: incorrect 2nd dimension of output array (must equal D3 cardinality in 1D)
INTREPID2_TEST_ERROR_EXPECTED( lineBasis.getValues(badVals, lineNodes, OPERATOR_D3), nthrow, ncatch );
}
#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";
}
} 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{
Basis_HGRAD_LINE_C1_FEM<DeviceSpaceType> lineBasis;
const auto numFields = lineBasis.getCardinality();
const auto allTags = lineBasis.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 = lineBasis.getDofOrdinal(allTags(i,0), allTags(i,1), allTags(i,2));
const auto myTag = lineBasis.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 = lineBasis.getDofTag(bfOrd);
const auto myBfOrd = lineBasis.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 gives the 2 correct basis set values at an evaluation point
const value_type basisValues[][2] = {
{ 1.0, 0.0 },
{ 0.0, 1.0 },
{ 0.5, 0.5 },
{ 0.25, 0.75 }
};
// GRAD, DIV, CURL and D1: each row gives the 2 correct values of the gradients of the 2 basis functions
const value_type basisDerivs[][2][1] = {
{ {-0.5}, {0.5} },
{ {-0.5}, {0.5} },
{ {-0.5}, {0.5} },
{ {-0.5}, {0.5} }
};
Basis_HGRAD_LINE_C1_FEM<DeviceSpaceType> lineBasis;
// Define array containing the 2 vertices of the reference Line, its center and another point
DynRankView ConstructWithLabel(lineNodes, 4, 1);
lineNodes(0,0) = -1.0;
lineNodes(1,0) = 1.0;
lineNodes(2,0) = 0.0;
lineNodes(3,0) = 0.5;
// Generic array for the output values; needs to be properly resized depending on the operator type
const auto numFields = lineBasis.getCardinality();
const auto numPoints = lineNodes.dimension(0);
const auto spaceDim = lineBasis.getBaseCellTopology().getDimension();
const auto workSize = numFields*numPoints*spaceDim;
DynRankView ConstructWithLabel(work, workSize);
// Check VALUE of basis functions: resize vals to rank-2 container:
{
DynRankView vals = DynRankView(work.data(), numFields, numPoints);
lineBasis.getValues(vals, lineNodes, OPERATOR_VALUE);
for (auto i=0;i<numFields;++i)
for (auto j=0;j<numPoints;++j)
if (std::abs(vals(i,j) - basisValues[j][i]) > 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[j][i] << "\n";
}
}
// Check derivatives of basis function: resize vals to rank-3 container
{
DynRankView vals = DynRankView(work.data(), numFields, numPoints, spaceDim);
const EOperator ops[] = { OPERATOR_GRAD,
OPERATOR_DIV,
OPERATOR_CURL,
OPERATOR_D1,
OPERATOR_MAX };
for (auto h=0;ops[h]!=OPERATOR_MAX;++h) {
const auto op = ops[h];
lineBasis.getValues(vals, lineNodes, op);
for (auto i=0;i<numFields;++i)
for (auto j=0;j<numPoints;++j)
for (auto k=0;k<spaceDim;++k)
if (std::abs(vals(i,j,k) - basisDerivs[j][i][k]) > 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: " << basisDerivs[j][i][k] << "\n";
}
}
}
// Check all higher derivatives - must be zero.
{
const EOperator ops[] = { OPERATOR_D2,
OPERATOR_D3,
OPERATOR_D4,
OPERATOR_D5,
OPERATOR_D6,
OPERATOR_D7,
OPERATOR_D8,
OPERATOR_D9,
OPERATOR_D10,
OPERATOR_MAX };
for (auto h=0;ops[h]!=OPERATOR_MAX;++h) {
const auto op = ops[h];
const auto DkCardin = getDkCardinality(op, spaceDim);
DynRankView vals = DynRankView(work.data(), numFields, numPoints, DkCardin);
lineBasis.getValues(vals, lineNodes, op);
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(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(i1,i2,i3)
<< " but reference D" << ord << " component: 0 \n";
}
}
}
} catch (std::logic_error err) {
*outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
*outStream << err.what() << '\n';
*outStream << "-------------------------------------------------------------------------------" << "\n\n";
errorFlag = -1000;
};
if (errorFlag != 0)
std::cout << "End Result: TEST FAILED\n";
else
std::cout << "End Result: TEST PASSED\n";
// reset format state of std::cout
std::cout.copyfmt(oldFormatState);
return errorFlag;
}
// Expands the existing matrix in-place to make the band wider, without
// losing any existing data.
void MATRIX::IncreaseBandSize(int bandwidth) {
ResizeWithCopy(dimension(), bandwidth);
}
void check(const gsl_vector* phi) const {
if(phi == (gsl_vector*)0)
throw BadFeature(dimension(),phi,"null vector");
else if((int)(phi->size) != dimension())
throw BadFeature(dimension(),phi,"dimensions do not fit");
}
int HGRAD_TET_COMP12_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_HGRAD_TET_COMP12_FEM) |\n"
<< "| |\n"
<< "| 1) Evaluation of Basis Function Values |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev ([email protected]), |\n"
<< "| Denis Ridzal ([email protected]), |\n"
<< "| Kara Peterson ([email protected]), |\n"
<< "| Jake Ostien ([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();
int errorFlag = 0;
// for virtual function, value and point types are declared in the class
typedef ValueType outputValueType;
typedef ValueType pointValueType;
Basis_HGRAD_TET_COMP12_FEM<DeviceSpaceType,outputValueType,pointValueType> tetBasis;
*outStream
<< "\n"
<< "===============================================================================\n"
<< "| TEST 1: correctness of basis function values |\n"
<< "===============================================================================\n";
// output precision
outStream -> precision(20);
// VALUE: Each row gives the 10 correct basis set values at an evaluation point
const ValueType nodalBasisValues[] = {
// first 4 vertices
1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
// second 6 vertices
0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0
};
const ValueType pointBasisValues[] = {
// pt 0 {0.25, 0.25, 0.25}
0.0, 0.0, 0.0, 0.0, 1./6., 1./6., 1./6., 1./6., 1./6., 1./6.,
// pt 1 {0.5, 1/6, 1/6}
0.0, 0.0, 0.0, 0.0, 1./3., 1./3., 0.0, 0.0, 1./3., 0.0,
// pt 2 {1/6, 0.5, 0.1/6}
0.0, 0.0, 0.0, 0.0, 0.0, 1./3., 1./3., 0.0, 0.0, 1./3.,
// pt 3 {1/6, 1/6, 0.5}
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1./3., 1./3., 1./3.,
// pt 4 {1/6, 1/6, 1/6}
0.0, 0.0, 0.0, 0.0, 1./3., 0.0, 1./3., 1./3., 0.0, 0.0,
// pt 5
0.170820393249936908922752100619382870632, 0.0, 0.0, 0.0, 0.276393202250021030359082633126872376456, 0.0, 0.276393202250021030359082633126872376456, 0.276393202250021030359082633126872376456, 0.0, 0.0,
// pt 6
0.0, 0.170820393249936908922752100619382870632, 0.0, 0.0, 0.276393202250021030359082633126872376456, 0.276393202250021030359082633126872376456, 0.0, 0.0, 0.276393202250021030359082633126872376456, 0.0,
// pt 7
0.0, 0.0, 0.170820393249936908922752100619382870632, 0.0, 0.0, 0.276393202250021030359082633126872376456, 0.276393202250021030359082633126872376456, 0.0, 0.0, 0.276393202250021030359082633126872376456,
// pt 8
0.0, 0.0, 0.0, 0.170820393249936908922752100619382870632, 0.0, 0.0, 0.0, 0.276393202250021030359082633126872376456, 0.276393202250021030359082633126872376456, 0.276393202250021030359082633126872376456,
};
// GRAD and D1: each row gives the 3x10 correct values of the gradients of the 10 basis functions
const ValueType pointBasisGrads[] = {
// point 0
-1./4., -1./4., -1./4.,
1./4., 0.0, 0.0,
0.0, 1./4., 0.0,
0.0, 0.0, 1./4.,
0.0, -3./4., -3./4.,
3./4., 3./4., 0.0,
-3./4., 0.0, -3./4.,
-3./4., -3./4., 0.0,
3./4., 0.0, 3./4.,
0.0, 3./4., 3./4.,
// point 1
-1./24., -1./24., -1./24.,
7./8., 0.0, 0.0,
0.0, 1./24., 0.0,
0.0, 0.0, 1./24.,
-35./36., -19./12., -19./12.,
11./18., 19./12., 0.0,
-17./36., 0.0, -1./3.,
-17./36., -1./3., 0.0,
11./18., 0.0, 19./12.,
-5./36., 1./3., 1./3.,
// point 2
-1./24., -1./24., -1./24.,
1./24., 0.0, 0.0,
0.0, 7./8., 0.0,
0.0, 0.0, 1./24.,
0.0, -17./36., -1./3.,
19./12., 11./18., 0.0,
-19./12., -35./36., -19./12.,
-1./3., -17./36., 0.0,
1./3., -5./36., 1./3.,
0.0, 11./18., 19./12.,
// point 3
-1./24., -1./24., -1./24.,
1./24., 0.0, 0.0,
0.0, 1./24., 0.0,
0.0, 0.0, 7./8.,
0.0, -1./3., -17./36.,
1./3., 1./3., -5./36.,
-1./3., 0.0, -17./36.,
-19./12., -19./12., -35./36.,
19./12., 0.0, 11./18.,
0.0, 19./12., 11./18.,
// point 4
-7./8., -7./8., -7./8.,
1./24., 0.0, 0.0,
0.0, 1./24., 0.0,
0.0, 0.0, 1./24.,
35./36., -11./18., -11./18.,
17./36., 17./36., 5./36.,
-11./18., 35./36., -11./18.,
-11./18., -11./18., 35./36.,
17./36., 5./36., 17./36.,
5./36., 17./36., 17./36.,
// point 5
-1.088525491562421136153440125774228588290, -1.088525491562421136153440125774228588290, -1.088525491562421136153440125774228588290,
-0.029508497187473712051146708591409529430, 0.0, 0.0,
0.0, -0.029508497187473712051146708591409529430, 0.0,
0.0, 0.0, -0.029508497187473712051146708591409529430,
1.30437298687487732290535130675991113734, -0.563661001875017525299235527605726980380, -0.563661001875017525299235527605726980380,
0.377322003750035050598471055211453960760, 0.377322003750035050598471055211453960760, 0.186338998124982474700764472394273019620,
-0.563661001875017525299235527605726980380, 1.30437298687487732290535130675991113734, -0.563661001875017525299235527605726980380,
-0.563661001875017525299235527605726980380, -0.563661001875017525299235527605726980380, 1.30437298687487732290535130675991113734,
0.377322003750035050598471055211453960760, 0.186338998124982474700764472394273019620, 0.377322003750035050598471055211453960760,
0.186338998124982474700764472394273019620, 0.377322003750035050598471055211453960760, 0.377322003750035050598471055211453960760,
// point 6
0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430,
1.088525491562421136153440125774228588290, 0.0, 0.0,
0.0, -0.029508497187473712051146708591409529430, 0.0,
0.0, 0.0, -0.029508497187473712051146708591409529430,
-1.30437298687487732290535130675991113734, -1.868033988749894848204586834365638117720, -1.868033988749894848204586834365638117720,
0.563661001875017525299235527605726980380, 1.868033988749894848204586834365638117720, 0.0,
-0.377322003750035050598471055211453960760, 0.0, -0.190983005625052575897706582817180941140,
-0.377322003750035050598471055211453960760, -0.190983005625052575897706582817180941140, 0.0,
0.563661001875017525299235527605726980380, 0.0, 1.868033988749894848204586834365638117720,
-0.186338998124982474700764472394273019620, 0.190983005625052575897706582817180941140, 0.19098300562505257589770658281718094114,
// point 7
0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430,
-0.029508497187473712051146708591409529430, 0.0, 0.0,
0.0, 1.088525491562421136153440125774228588290, 0.0,
0.0, 0.0, -0.029508497187473712051146708591409529430,
0.0, -0.377322003750035050598471055211453960760, -0.190983005625052575897706582817180941140,
1.868033988749894848204586834365638117720, 0.563661001875017525299235527605726980380, 0.0,
-1.868033988749894848204586834365638117720, -1.30437298687487732290535130675991113734, -1.868033988749894848204586834365638117720,
-0.190983005625052575897706582817180941140, -0.377322003750035050598471055211453960760, 0.0,
0.190983005625052575897706582817180941140, -0.186338998124982474700764472394273019620, 0.190983005625052575897706582817180941140,
0.0, 0.563661001875017525299235527605726980380, 1.868033988749894848204586834365638117720,
// point 8
0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430, 0.029508497187473712051146708591409529430,
-0.029508497187473712051146708591409529430, 0.0, 0.0,
0.0, -0.029508497187473712051146708591409529430, 0.0,
0.0, 0.0, 1.088525491562421136153440125774228588290,
0.0, -0.190983005625052575897706582817180941140, -0.377322003750035050598471055211453960760,
0.190983005625052575897706582817180941140, 0.190983005625052575897706582817180941140, -0.186338998124982474700764472394273019620,
-0.190983005625052575897706582817180941140, 0.0, -0.377322003750035050598471055211453960760,
-1.868033988749894848204586834365638117720, -1.868033988749894848204586834365638117720, -1.30437298687487732290535130675991113734,
1.868033988749894848204586834365638117720, 0.0, 0.563661001875017525299235527605726980380,
0.0, 1.868033988749894848204586834365638117720, 0.563661001875017525299235527605726980380,
};
try{
DynRankViewHost ConstructWithLabel(tetNodesHost, 10, 3);
tetNodesHost(0,0) = 0.0; tetNodesHost(0,1) = 0.0; tetNodesHost(0,2) = 0.0;
tetNodesHost(1,0) = 1.0; tetNodesHost(1,1) = 0.0; tetNodesHost(1,2) = 0.0;
tetNodesHost(2,0) = 0.0; tetNodesHost(2,1) = 1.0; tetNodesHost(2,2) = 0.0;
tetNodesHost(3,0) = 0.0; tetNodesHost(3,1) = 0.0; tetNodesHost(3,2) = 1.0;
tetNodesHost(4,0) = 0.5; tetNodesHost(4,1) = 0.0; tetNodesHost(4,2) = 0.0;
tetNodesHost(5,0) = 0.5; tetNodesHost(5,1) = 0.5; tetNodesHost(5,2) = 0.0;
tetNodesHost(6,0) = 0.0; tetNodesHost(6,1) = 0.5; tetNodesHost(6,2) = 0.0;
tetNodesHost(7,0) = 0.0; tetNodesHost(7,1) = 0.0; tetNodesHost(7,2) = 0.5;
tetNodesHost(8,0) = 0.5; tetNodesHost(8,1) = 0.0; tetNodesHost(8,2) = 0.5;
tetNodesHost(9,0) = 0.0; tetNodesHost(9,1) = 0.5; tetNodesHost(9,2) = 0.5;
auto tetNodes = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), tetNodesHost);
Kokkos::deep_copy(tetNodes, tetNodesHost);
DynRankViewHost ConstructWithLabel(tetPointsHost, 9, 3);
// from the 5 point integration
tetPointsHost(0,0) = 0.25; tetPointsHost(0,1) = 0.25; tetPointsHost(0,2) = 0.25;
tetPointsHost(1,0) = 0.5; tetPointsHost(1,1) = (1./6.); tetPointsHost(1,2) = (1./6.);
tetPointsHost(2,0) = (1./6.); tetPointsHost(2,1) = 0.5; tetPointsHost(2,2) = (1./6.);
tetPointsHost(3,0) = (1./6.); tetPointsHost(3,1) = (1./6.); tetPointsHost(3,2) = 0.5;
tetPointsHost(4,0) = (1./6.); tetPointsHost(4,1) = (1./6.); tetPointsHost(4,2) = (1./6.);
// from the 4 point integration
tetPointsHost(5,0) = 0.1381966011250105151795413165634361882280;
tetPointsHost(5,1) = 0.1381966011250105151795413165634361882280;
tetPointsHost(5,2) = 0.1381966011250105151795413165634361882280;
tetPointsHost(6,0) = 0.5854101966249684544613760503096914353161;
tetPointsHost(6,1) = 0.1381966011250105151795413165634361882280;
tetPointsHost(6,2) = 0.1381966011250105151795413165634361882280;
tetPointsHost(7,0) = 0.1381966011250105151795413165634361882280;
tetPointsHost(7,1) = 0.5854101966249684544613760503096914353161;
tetPointsHost(7,2) = 0.1381966011250105151795413165634361882280;
tetPointsHost(8,0) = 0.1381966011250105151795413165634361882280;
tetPointsHost(8,1) = 0.1381966011250105151795413165634361882280;
tetPointsHost(8,2) = 0.5854101966249684544613760503096914353161;
auto tetPoints = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), tetPointsHost);
Kokkos::deep_copy(tetPoints, tetPointsHost);
// Dimensions for the output arrays:
const ordinal_type numFields = tetBasis.getCardinality();
const ordinal_type numNodes = tetNodes.dimension(0);
const ordinal_type spaceDim = tetBasis.getBaseCellTopology().getDimension();
// Check VALUE of basis functions at nodes: resize vals to rank-2 container:\n";
{
*outStream << " check VALUE of basis functions at nodes\n";
DynRankView vals = DynRankView("vals", numFields, numNodes);
tetBasis.getValues(vals, tetNodes, OPERATOR_VALUE);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (ordinal_type i=0;i<numFields;++i) {
for (ordinal_type j=0;j<numNodes;++j) {
const ordinal_type l = i + j * numFields;
if (std::abs(vals_host(i,j) - nodalBasisValues[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: " << nodalBasisValues[l] << "\n";
}
}
}
}
const ordinal_type numPoints = tetPoints.dimension(0);
// Check VALUE of basis functions at points: resize vals to rank-2 container:\n";
{
*outStream << " check VALUE of basis functions at points\n";
DynRankView vals = DynRankView("vals", numFields, numPoints);
tetBasis.getValues(vals, tetPoints, OPERATOR_VALUE);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (ordinal_type i=0;i<numFields;++i) {
for (ordinal_type j=0;j<numPoints;++j) {
const ordinal_type l = i + j * numFields;
if (std::abs(vals_host(i,j) - pointBasisValues[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: " << pointBasisValues[l] << "\n";
}
}
}
}
// Check VALUE of basis functions at random points: resize vals to rank-2 container:\n";
{
*outStream << " check VALUE of basis functions at random points\n";
const ordinal_type numRandomPoints = 16384;
DynRankViewHost tetRandomPointsHost = DynRankViewHost("tetRandomPointsHost", numRandomPoints, 3);
{
ordinal_type point = 0;
std::random_device rd;
std::mt19937 gen(rd());
std::uniform_real_distribution<> dis(0, 1);
while (point < numRandomPoints) {
const ValueType r = dis(gen), s = dis(gen), t = dis(gen);
if (r + s + t > 1.0) {
// do nothing
} else {
tetRandomPointsHost(point, 0) = r;
tetRandomPointsHost(point, 1) = s;
tetRandomPointsHost(point, 2) = t;
++point;
}
}
}
auto tetRandomPoints = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), tetRandomPointsHost);
Kokkos::deep_copy(tetRandomPoints, tetRandomPointsHost);
DynRankView vals = DynRankView("vals", numFields, numRandomPoints);
tetBasis.getValues(vals, tetRandomPoints, OPERATOR_VALUE);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (ordinal_type j=0;j<numRandomPoints;++j) {
ValueType sum = 0.0;
for (ordinal_type i=0;i<numFields;++i)
sum += vals_host(i,j);
if (std::abs(sum - 1.0) > tol) {
errorFlag++;
*outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
// Just indicate something bad happened
*outStream << " Composite tet basis functions";
*outStream << " are not summing to 1.0\n";
*outStream << " sum : " << sum << "\n";
}
}
}
// Check GRAD of basis functions at points: resize vals to rank-3 container:\n";
{
DynRankView vals = DynRankView("vals", numFields, numPoints, spaceDim);
tetBasis.getValues(vals, tetPoints, OPERATOR_GRAD);
auto vals_host = Kokkos::create_mirror_view(typename HostSpaceType::memory_space(), vals);
Kokkos::deep_copy(vals_host, vals);
for (ordinal_type i=0;i<numFields;++i) {
for (ordinal_type j=0;j<numPoints;++j) {
for (ordinal_type k=0;k<spaceDim;++k) {
const ordinal_type l = k + i * spaceDim + j * spaceDim * numFields;
if (std::abs(vals_host(i,j,k) - pointBasisGrads[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: " << pointBasisGrads[l] << "\n";
}
}
}
}
}
} 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_TET_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_TET_I1_FEM) |\n"
<< "| |\n"
<< "| 1) Conversion of Dof tags into Dof ordinals and back |\n"
<< "| 2) Basis values for VALUE and HDIV 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<ValueType>();
int errorFlag = 0;
// for virtual function, value and point types are declared in the class
typedef ValueType outputValueType;
typedef ValueType pointValueType;
Basis_HDIV_TET_I1_FEM<DeviceSpaceType,outputValueType,pointValueType> tetBasis;
try {
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
// Define array containing the 4 vertices of the reference TET and its center.
DynRankView ConstructWithLabel(tetNodes, 10, 3);
const auto numFields = tetBasis.getCardinality();
const auto numPoints = tetNodes.dimension(0);
const auto spaceDim = tetBasis.getBaseCellTopology().getDimension();
DynRankView vals("vals", numFields, numPoints, spaceDim);
// exception #1: GRAD cannot be applied to HDIV functions
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(vals, tetNodes, OPERATOR_GRAD));
// exception #2: CURL cannot be applied to HDIV functions
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(vals, tetNodes, 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( tetBasis.getDofOrdinal(3,0,0));
// exception #4
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofOrdinal(1,1,1));
// exception #5
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofOrdinal(0,4,1));
// exception #6
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofTag(7));
// exception #7
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofTag(-1));
// Exceptions 8-15 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( tetBasis.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, 2);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(vals, badPoints2, OPERATOR_VALUE));
// exception #10 output values must be of rank-3 for OPERATOR_VALUE
DynRankView ConstructWithLabel(badVals1, 4, 3);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals1, tetNodes, OPERATOR_VALUE));
// exception #11 output values must be of rank-2 for OPERATOR_DIV
DynRankView ConstructWithLabel(badVals2, 4, 3, 1);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals2, tetNodes, OPERATOR_VALUE));
// exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals3, tetBasis.getCardinality() + 1, tetNodes.dimension(0), 3);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals3, tetNodes, OPERATOR_VALUE));
// exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
DynRankView ConstructWithLabel(badVals4, tetBasis.getCardinality() + 1, tetNodes.dimension(0));
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals4, tetNodes, OPERATOR_DIV));
// exception #14 incorrect 1st dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals5, tetBasis.getCardinality(), tetNodes.dimension(0) + 1, 3);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals5, tetNodes, OPERATOR_VALUE));
// exception #15 incorrect 1st dimension of output array (must equal number of points)
DynRankView ConstructWithLabel(badVals6, tetBasis.getCardinality(), tetNodes.dimension(0) + 1);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals6, tetNodes, OPERATOR_DIV));
// exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
DynRankView ConstructWithLabel(badVals7, tetBasis.getCardinality(), tetNodes.dimension(0), 4);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getValues(badVals7, tetNodes, OPERATOR_VALUE));
#endif
} 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 allTags = tetBasis.getAllDofTags();
// Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
const auto dofTagSize = allTags.dimension(0);
for (unsigned i = 0; i < dofTagSize; i++) {
int bfOrd = tetBasis.getDofOrdinal(allTags(i,0), allTags(i,1), allTags(i,2));
auto myTag = tetBasis.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 < tetBasis.getCardinality(); bfOrd++) {
auto myTag = tetBasis.getDofTag(bfOrd);
int myBfOrd = tetBasis.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: Correct basis values in (P,F,D) format: each row gives the 4x3 correct basis set values
// at an evaluation point. Note that getValues returns results as an (F,P,D) array.
double basisValues[] = {
// 4 vertices
0.,-2.0,0., 0.,0.,0., -2.0,0.,0., 0.,0.,-2.0,
2.0,-2.0,0., 2.0,0.,0., 0.,0.,0., 2.0,0.,-2.0,
0.,0.,0., 0.,2.0,0., -2.0,2.0,0., 0,2.0,-2.0,
0.,-2.0,2.0, 0.,0.,2.0, -2.0,0.,2.0, 0.,0.,0.,
// 6 edge midpoints
1.0,-2.0,0., 1.0,0.,0., -1.0,0.,0., 1.0,0.,-2.0,
1.0,-1.0,0., 1.0,1.0,0., -1.0,1.0,0., 1.0,1.0,-2.0,
0.,-1.0,0., 0.,1.0,0., -2.0,1.0,0., 0.,1.0,-2.0,
0.,-2.0,1.0, 0.,0.,1.0, -2.0,0.,1.0, 0.,0.,-1.0,
1.0,-2.0,1.0, 1.0,0.,1.0, -1.0,0.,1.0, 1.0,0.,-1.0,
0.,-1.0,1.0, 0.,1.0,1.0, -2.0,1.0,1.0, 0.,1.0,-1.0
// bf0 bf1 bf2 bf3
};
// DIV: each row gives the 4 correct values of the divergence of the 4 basis functions
double basisDivs[] = {
// 4 vertices
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
// 6 edge midpoints
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0,
6.0, 6.0, 6.0, 6.0
};
try {
// Define array containing the 4 vertices of the reference TET and its 6 edge midpoints.
DynRankViewHost ConstructWithLabel(tetNodesHost, 10, 3);
tetNodesHost(0,0) = 0.0; tetNodesHost(0,1) = 0.0; tetNodesHost(0,2) = 0.0;
tetNodesHost(1,0) = 1.0; tetNodesHost(1,1) = 0.0; tetNodesHost(1,2) = 0.0;
tetNodesHost(2,0) = 0.0; tetNodesHost(2,1) = 1.0; tetNodesHost(2,2) = 0.0;
tetNodesHost(3,0) = 0.0; tetNodesHost(3,1) = 0.0; tetNodesHost(3,2) = 1.0;
tetNodesHost(4,0) = 0.5; tetNodesHost(4,1) = 0.0; tetNodesHost(4,2) = 0.0;
tetNodesHost(5,0) = 0.5; tetNodesHost(5,1) = 0.5; tetNodesHost(5,2) = 0.0;
tetNodesHost(6,0) = 0.0; tetNodesHost(6,1) = 0.5; tetNodesHost(6,2) = 0.0;
tetNodesHost(7,0) = 0.0; tetNodesHost(7,1) = 0.0; tetNodesHost(7,2) = 0.5;
tetNodesHost(8,0) = 0.5; tetNodesHost(8,1) = 0.0; tetNodesHost(8,2) = 0.5;
tetNodesHost(9,0) = 0.0; tetNodesHost(9,1) = 0.5; tetNodesHost(9,2) = 0.5;
const auto tetNodes = Kokkos::create_mirror_view(typename DeviceSpaceType::memory_space(), tetNodesHost);
Kokkos::deep_copy(tetNodes, tetNodesHost);
// Dimensions for the output arrays:
const auto numFields = tetBasis.getCardinality();
const auto numPoints = tetNodes.dimension(0);
const auto spaceDim = tetBasis.getBaseCellTopology().getDimension();
{
// Check VALUE of basis functions:
DynRankView ConstructWithLabel(vals, numFields, numPoints, spaceDim);
tetBasis.getValues(vals, tetNodes, OPERATOR_VALUE);
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 (size_type j = 0; j < numPoints; j++) {
for (size_type k = 0; k < spaceDim; k++) {
// basisValues is (P,F,D) array so its multiindex is (j,i,k) and not (i,j,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 (Field,Point,Dim) 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:
DynRankView ConstructWithLabel(vals, numFields, numPoints);
tetBasis.getValues(vals, tetNodes, 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 (size_type 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 (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 = tetBasis.getCardinality();
const auto spaceDim = tetBasis.getBaseCellTopology().getDimension();
// Check exceptions.
ordinal_type nthrow = 0, ncatch = 0;
#ifdef HAVE_INTREPID2_DEBUG
{
DynRankView ConstructWithLabel(badVals, 1,2,3);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofCoords(badVals));
}
{
DynRankView ConstructWithLabel(badVals, 3,2);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofCoords(badVals));
}
{
DynRankView ConstructWithLabel(badVals, 4,2);
INTREPID2_TEST_ERROR_EXPECTED( tetBasis.getDofCoords(badVals));
}
#endif
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, spaceDim);
DynRankView ConstructWithLabel(cvals, numFields, spaceDim);
// Check mathematical correctness.
tetBasis.getDofCoords(cvals);
tetBasis.getValues(bvals, cvals, OPERATOR_VALUE);
// Check mathematical correctness
DynRankViewHost ConstructWithLabel(normals, numFields,spaceDim); // normals at each point basis point
normals(0,0) = 0.0; normals(0,1) = -0.5; normals(0,2) = 0.0;
normals(1,0) = 0.5; normals(1,1) = 0.5; normals(1,2) = 0.5;
normals(2,0) = -0.5; normals(2,1) = 0.0; normals(2,2) = 0.0;
normals(3,0) = 0.0; normals(3,1) = 0.0; normals(3,2) = -0.5;
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);
for (ordinal_type i=0;i<numFields;++i) {
for (ordinal_type j=0;j<numFields;++j) {
ValueType normal = 0.0;
for(size_type d=0;d<spaceDim;++d) {
normal += bvals_host(i,j,d)*normals(j,d);
}
const ValueType expected_normal = (i == j);
if (std::abs(normal - expected_normal) > tol || isnan(normal)) {
errorFlag++;
std::stringstream ss;
ss << "\nNormal component of basis function " << i << " at (" << cvals_host(j,0) << ", " << cvals_host(j,1)<< ", " << cvals_host(j,2) << ") 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;
}
klassOop typeArrayKlass::array_klass_impl(bool or_null, TRAPS) {
return array_klass_impl(or_null, dimension() + 1, THREAD);
}
dimension matrix::getdimension() const
{
return dimension(dimension_r_, dimension_c_);
}