void UnitNormalFunction::values(Intrepid::FieldContainer<double> &values, BasisCachePtr basisCache)
{
this->CHECK_VALUES_RANK(values);
int numCells = values.dimension(0);
int numPoints = values.dimension(1);
int spaceDim = basisCache->getSpaceDim();
if (_comp == -1)
{
// check the the "D" dimension of values is correct:
if (_spaceTime)
{
TEUCHOS_TEST_FOR_EXCEPTION(values.dimension(2) != spaceDim+1, std::invalid_argument, "For space-time normals, values.dimension(2) should be spaceDim + 1.");
}
else
{
TEUCHOS_TEST_FOR_EXCEPTION(values.dimension(2) != spaceDim, std::invalid_argument, "For spatial normals, values.dimension(2) should be spaceDim.");
}
}
const Intrepid::FieldContainer<double> *sideNormals = _spaceTime ? &(basisCache->getSideNormalsSpaceTime()) : &(basisCache->getSideNormals());
int comp = _comp;
if (comp == -2)
{
// want to select the temporal component, t()
comp = spaceDim;
}
for (int cellIndex=0; cellIndex<numCells; cellIndex++)
{
for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
{
if (comp == -1)
{
for (int d=0; d<spaceDim; d++)
{
double nd = (*sideNormals)(cellIndex,ptIndex,d);
values(cellIndex,ptIndex,d) = nd;
}
if (_spaceTime)
{
double nd = (*sideNormals)(cellIndex,ptIndex,spaceDim);
values(cellIndex,ptIndex,spaceDim) = nd;
}
}
else
{
double ni = (*sideNormals)(cellIndex,ptIndex,comp);
values(cellIndex,ptIndex) = ni;
}
}
}
}
bool FunctionTests::functionsAgree(FunctionPtr f1, FunctionPtr f2, BasisCachePtr basisCache)
{
if (f2->rank() != f1->rank() )
{
cout << "f1->rank() " << f1->rank() << " != f2->rank() " << f2->rank() << endl;
return false;
}
int rank = f1->rank();
int numCells = basisCache->getPhysicalCubaturePoints().dimension(0);
int numPoints = basisCache->getPhysicalCubaturePoints().dimension(1);
int spaceDim = basisCache->getSpaceDim();
Teuchos::Array<int> dim;
dim.append(numCells);
dim.append(numPoints);
for (int i=0; i<rank; i++)
{
dim.append(spaceDim);
}
FieldContainer<double> f1Values(dim);
FieldContainer<double> f2Values(dim);
f1->values(f1Values,basisCache);
f2->values(f2Values,basisCache);
double tol = 1e-14;
double maxDiff;
bool functionsAgree = TestSuite::fcsAgree(f1Values,f2Values,tol,maxDiff);
if ( ! functionsAgree )
{
functionsAgree = false;
cout << "Test failed: f1 and f2 disagree; maxDiff " << maxDiff << ".\n";
cout << "f1Values: \n" << f1Values;
cout << "f2Values: \n" << f2Values;
}
else
{
// cout << "f1 and f2 agree!" << endl;
}
return functionsAgree;
}
void values(FieldContainer<double> &values, BasisCachePtr basisCache)
{
// sets values(_cellIndex,P,D)
TEUCHOS_TEST_FOR_EXCEPTION(_cellIndex == -1, std::invalid_argument, "must call setCellIndex before calling values!");
// cout << "_basisCoefficients:\n" << _basisCoefficients;
BasisCachePtr spaceTimeBasisCache;
if (basisCache->cellTopologyIsSpaceTime())
{
// then we require that the basisCache provided be a space-time basis cache
SpaceTimeBasisCache* spaceTimeCache = dynamic_cast<SpaceTimeBasisCache*>(basisCache.get());
TEUCHOS_TEST_FOR_EXCEPTION(!spaceTimeCache, std::invalid_argument, "space-time requires a SpaceTimeBasisCache");
spaceTimeBasisCache = basisCache;
basisCache = spaceTimeCache->getSpatialBasisCache();
}
int numDofs = _basis->getCardinality();
int spaceDim = basisCache->getSpaceDim();
bool basisIsVolumeBasis = (spaceDim == _basis->domainTopology()->getDimension());
bool useCubPointsSideRefCell = basisIsVolumeBasis && basisCache->isSideCache();
int numPoints = values.dimension(1);
// check if we're taking a temporal derivative
int component;
Intrepid::EOperator relatedOp = BasisEvaluation::relatedOperator(_op, _basis->functionSpace(), spaceDim, component);
if ((relatedOp == Intrepid::OPERATOR_GRAD) && (component==spaceDim)) {
// then we are taking the temporal part of the Jacobian of the reference to curvilinear-reference space
// based on our assumptions that curvilinearity is just in the spatial direction (and is orthogonally extruded in the
// temporal direction), this is always the identity.
for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
{
for (int d=0; d<values.dimension(2); d++)
{
if (d < spaceDim)
values(_cellIndex,ptIndex,d) = 0.0;
else
values(_cellIndex,ptIndex,d) = 1.0;
}
}
return;
}
constFCPtr transformedValues = basisCache->getTransformedValues(_basis, _op, useCubPointsSideRefCell);
// transformedValues has dimensions (C,F,P,[D,D])
// therefore, the rank of the sum is transformedValues->rank() - 3
int rank = transformedValues->rank() - 3;
TEUCHOS_TEST_FOR_EXCEPTION(rank != values.rank()-2, std::invalid_argument, "values rank is incorrect.");
int spaceTimeSideOrdinal = (spaceTimeBasisCache != Teuchos::null) ? spaceTimeBasisCache->getSideIndex() : -1;
// I'm pretty sure much of this treatment of the time dimension could be simplified by taking advantage of SpaceTimeBasisCache::getTemporalBasisCache()...
double t0 = -1, t1 = -1;
if ((spaceTimeSideOrdinal != -1) && (!spaceTimeBasisCache->cellTopology()->sideIsSpatial(spaceTimeSideOrdinal)))
{
unsigned sideTime0 = spaceTimeBasisCache->cellTopology()->getTemporalSideOrdinal(0);
unsigned sideTime1 = spaceTimeBasisCache->cellTopology()->getTemporalSideOrdinal(1);
// get first node of each of the time-orthogonal sides, and use that to determine t0 and t1:
unsigned spaceTimeNodeTime0 = spaceTimeBasisCache->cellTopology()->getNodeMap(spaceDim, sideTime0, 0);
unsigned spaceTimeNodeTime1 = spaceTimeBasisCache->cellTopology()->getNodeMap(spaceDim, sideTime1, 0);
t0 = spaceTimeBasisCache->getPhysicalCellNodes()(_cellIndex,spaceTimeNodeTime0,spaceDim);
t1 = spaceTimeBasisCache->getPhysicalCellNodes()(_cellIndex,spaceTimeNodeTime1,spaceDim);
}
// initialize the values we're responsible for setting
if (_op == OP_VALUE)
{
for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
{
for (int d=0; d<values.dimension(2); d++)
{
if (d < spaceDim)
values(_cellIndex,ptIndex,d) = 0.0;
else if ((spaceTimeBasisCache != Teuchos::null) && (spaceTimeSideOrdinal == -1))
values(_cellIndex,ptIndex,spaceDim) = spaceTimeBasisCache->getPhysicalCubaturePoints()(_cellIndex,ptIndex,spaceDim);
else if ((spaceTimeBasisCache != Teuchos::null) && (spaceTimeSideOrdinal != -1))
{
if (spaceTimeBasisCache->cellTopology()->sideIsSpatial(spaceTimeSideOrdinal))
{
values(_cellIndex,ptIndex,spaceDim) = spaceTimeBasisCache->getPhysicalCubaturePoints()(_cellIndex,ptIndex,spaceDim-1);
}
else
{
double temporalPoint;
unsigned temporalNode = spaceTimeBasisCache->cellTopology()->getTemporalComponentSideOrdinal(spaceTimeSideOrdinal);
if (temporalNode==0)
temporalPoint = t0;
else
temporalPoint = t1;
values(_cellIndex,ptIndex,spaceDim) = temporalPoint;
}
}
}
}
}
else if ((_op == OP_DX) || (_op == OP_DY) || (_op == OP_DZ))
{
for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
{
for (int d=0; d<values.dimension(2); d++)
{
if (d < spaceDim)
values(_cellIndex,ptIndex,d) = 0.0;
else
if (_op == OP_DZ)
values(_cellIndex,ptIndex,d) = 1.0;
else
values(_cellIndex,ptIndex,d) = 0.0;
}
}
}
else
{
TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, "Unhandled _op");
}
int numSpatialPoints = transformedValues->dimension(2);
int numTemporalPoints = numPoints / numSpatialPoints;
TEUCHOS_TEST_FOR_EXCEPTION(numTemporalPoints * numSpatialPoints != numPoints, std::invalid_argument, "numPoints is not evenly divisible by numSpatialPoints");
for (int i=0; i<numDofs; i++)
{
double weight = _basisCoefficients(i);
for (int timePointOrdinal=0; timePointOrdinal<numTemporalPoints; timePointOrdinal++)
{
for (int spacePointOrdinal=0; spacePointOrdinal<numSpatialPoints; spacePointOrdinal++)
{
int spaceTimePointOrdinal = TENSOR_POINT_ORDINAL(spacePointOrdinal, timePointOrdinal, numSpatialPoints);
for (int d=0; d<spaceDim; d++)
{
values(_cellIndex,spaceTimePointOrdinal,d) += weight * (*transformedValues)(_cellIndex,i,spacePointOrdinal,d);
}
}
}
}
}
