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); } } } } }