void
NumericalTestTrialIntegrator<BasisFunctionType, ResultType, GeometryFactory>::
integrate(const std::vector<int> &elementIndices,
const Shapeset<BasisFunctionType> &testShapeset,
const Shapeset<BasisFunctionType> &trialShapeset,
arma::Cube<ResultType> &result) const {
const size_t pointCount = m_localQuadPoints.n_cols;
const size_t elementCount = elementIndices.size();
if (pointCount == 0 || elementCount == 0)
return;
// TODO: in the (pathological) case that pointCount == 0 but
// elementCount != 0, set elements of result to 0.
// Evaluate constants
const int testDofCount = testShapeset.size();
const int trialDofCount = trialShapeset.size();
BasisData<BasisFunctionType> testBasisData, trialBasisData;
GeometricalData<CoordinateType> geomData;
size_t testBasisDeps = 0, trialBasisDeps = 0;
size_t geomDeps = 0; // INTEGRATION_ELEMENTS;
m_testTransformations.addDependencies(testBasisDeps, geomDeps);
m_trialTransformations.addDependencies(trialBasisDeps, geomDeps);
m_integral.addGeometricalDependencies(geomDeps);
typedef typename GeometryFactory::Geometry Geometry;
std::unique_ptr<Geometry> geometry(m_geometryFactory.make());
CollectionOf3dArrays<BasisFunctionType> testValues, trialValues;
result.set_size(testDofCount, trialDofCount, elementCount);
testShapeset.evaluate(testBasisDeps, m_localQuadPoints, ALL_DOFS,
testBasisData);
trialShapeset.evaluate(trialBasisDeps, m_localQuadPoints, ALL_DOFS,
trialBasisData);
// Iterate over the elements
for (size_t e = 0; e < elementCount; ++e) {
const int elementIndex = elementIndices[e];
m_rawGeometry.setupGeometry(elementIndex, *geometry);
geometry->getData(geomDeps, m_localQuadPoints, geomData);
if (geomDeps & DOMAIN_INDEX)
geomData.domainIndex = m_rawGeometry.domainIndex(elementIndex);
m_testTransformations.evaluate(testBasisData, geomData, testValues);
m_trialTransformations.evaluate(trialBasisData, geomData, trialValues);
m_integral.evaluate(geomData, testValues, trialValues, m_quadWeights,
result.slice(e));
}
}
void NumericalTestTrialIntegrator<BasisFunctionType, ResultType, GeometryFactory>::integrate(
const std::vector<int>& elementIndices,
const Basis<BasisFunctionType>& testBasis,
const Basis<BasisFunctionType>& trialBasis,
arma::Cube<ResultType>& result) const
{
const size_t pointCount = m_localQuadPoints.n_cols;
const size_t elementCount = elementIndices.size();
if (pointCount == 0 || elementCount == 0)
return;
// TODO: in the (pathological) case that pointCount == 0 but
// elementCount != 0, set elements of result to 0.
// Evaluate constants
const int componentCount = m_testTransformations.resultDimension(0);
const int testDofCount = testBasis.size();
const int trialDofCount = trialBasis.size();
// if (m_trialTransformations.codomainDimension() != componentCount)
// throw std::runtime_error("NumericalTestTrialIntegrator::integrate(): "
// "test and trial functions "
// "must have the same number of components");
BasisData<BasisFunctionType> testBasisData, trialBasisData;
GeometricalData<CoordinateType> geomData;
size_t testBasisDeps = 0, trialBasisDeps = 0;
size_t geomDeps = INTEGRATION_ELEMENTS;
m_testTransformations.addDependencies(testBasisDeps, geomDeps);
m_trialTransformations.addDependencies(trialBasisDeps, geomDeps);
typedef typename GeometryFactory::Geometry Geometry;
std::auto_ptr<Geometry> geometry(m_geometryFactory.make());
CollectionOf3dArrays<BasisFunctionType> testValues, trialValues;
result.set_size(testDofCount, trialDofCount, elementCount);
testBasis.evaluate(testBasisDeps, m_localQuadPoints, ALL_DOFS, testBasisData);
trialBasis.evaluate(trialBasisDeps, m_localQuadPoints, ALL_DOFS, trialBasisData);
// Iterate over the elements
for (size_t e = 0; e < elementCount; ++e)
{
m_rawGeometry.setupGeometry(elementIndices[e], *geometry);
geometry->getData(geomDeps, m_localQuadPoints, geomData);
m_testTransformations.evaluate(testBasisData, geomData, testValues);
m_trialTransformations.evaluate(trialBasisData, geomData, trialValues);
for (int trialDof = 0; trialDof < trialDofCount; ++trialDof)
for (int testDof = 0; testDof < testDofCount; ++testDof)
{
ResultType sum = 0.;
for (size_t point = 0; point < pointCount; ++point)
for (int dim = 0; dim < componentCount; ++dim)
sum += m_quadWeights[point] *
geomData.integrationElements(point) *
conjugate(testValues[0](dim, testDof, point)) *
trialValues[0](dim, trialDof, point);
result(testDof, trialDof, e) = sum;
}
}
}