void DefaultTestTrialIntegral<IntegrandFunctor>::evaluate(
const GeometricalData<CoordinateType>& geomData,
const CollectionOf3dArrays<BasisFunctionType>& testValues,
const CollectionOf3dArrays<BasisFunctionType>& trialValues,
const std::vector<CoordinateType>& weights,
arma::Mat<ResultType>& result) const
{
const size_t pointCount = weights.size();
assert(testValues.size() == 1);
assert(trialValues.size() == 1);
// We don't care about the number of rows of testValues[0] and trialValues[0]
// -- it's up to the integrand functor
const size_t testDofCount = testValues[0].extent(1);
const size_t trialDofCount = trialValues[0].extent(1);
assert(testValues[0].extent(2) == pointCount);
assert(trialValues[0].extent(2) == pointCount);
for (size_t trialDof = 0; trialDof < trialDofCount; ++trialDof)
for (size_t testDof = 0; testDof < testDofCount; ++testDof) {
ResultType sum = 0.;
for (size_t point = 0; point < pointCount; ++point)
sum += m_functor.evaluate(
geomData.const_slice(point),
testValues.const_slice(testDof, point),
trialValues.const_slice(trialDof, point)) *
geomData.integrationElements(point) *
weights[point];
result(testDof, trialDof) = sum;
}
}
void DefaultTestKernelTrialIntegral<IntegrandFunctor>::
evaluateWithTensorQuadratureRule(
const GeometricalData<CoordinateType> &testGeomData,
const GeometricalData<CoordinateType> &trialGeomData,
const CollectionOf3dArrays<BasisFunctionType> &testValues,
const CollectionOf3dArrays<BasisFunctionType> &trialValues,
const CollectionOf4dArrays<KernelType> &kernelValues,
const std::vector<CoordinateType> &testQuadWeights,
const std::vector<CoordinateType> &trialQuadWeights,
Matrix<ResultType> &result) const {
// Evaluate constants
const size_t testDofCount = testValues[0].extent(1);
const size_t trialDofCount = trialValues[0].extent(1);
const size_t testPointCount = testQuadWeights.size();
const size_t trialPointCount = trialQuadWeights.size();
// Assert that array dimensions are correct
for (size_t i = 0; i < kernelValues.size(); ++i) {
assert(kernelValues[i].extent(2) == testPointCount);
assert(kernelValues[i].extent(3) == trialPointCount);
}
for (size_t i = 0; i < testValues.size(); ++i)
assert(testValues[i].extent(2) == testPointCount);
for (size_t i = 0; i < trialValues.size(); ++i)
assert(trialValues[i].extent(2) == trialPointCount);
assert(result.rows() == testDofCount);
assert(result.cols() == trialDofCount);
// Integrate
for (size_t trialDof = 0; trialDof < trialDofCount; ++trialDof)
for (size_t testDof = 0; testDof < testDofCount; ++testDof) {
ResultType sum = 0.;
for (size_t trialPoint = 0; trialPoint < trialPointCount; ++trialPoint) {
const CoordinateType trialWeight =
trialGeomData.integrationElements(trialPoint) *
trialQuadWeights[trialPoint];
ResultType partialSum = 0.;
for (size_t testPoint = 0; testPoint < testPointCount; ++testPoint) {
const CoordinateType testWeight =
testGeomData.integrationElements(testPoint) *
testQuadWeights[testPoint];
partialSum += m_functor.evaluate(
testGeomData.const_slice(testPoint),
trialGeomData.const_slice(trialPoint),
testValues.const_slice(testDof, testPoint),
trialValues.const_slice(trialDof, trialPoint),
kernelValues.const_slice(testPoint, trialPoint)) *
testWeight;
}
sum += partialSum * trialWeight;
}
result(testDof, trialDof) = sum;
}
}
void evaluateOnGridPeter(std::string str, const GeometricalData<CoordinateType> &testGeomData, const GeometricalData<CoordinateType> &trialGeomData, CollectionOf4dArrays<ValueType> &result) const {
const size_t testPointCount = testGeomData.pointCount();
const size_t trialPointCount = trialGeomData.pointCount();
const size_t kernelCount = m_functor.kernelCount();
result.set_size(kernelCount);
for (size_t k = 0; k < kernelCount; ++k)
result[k].set_size(m_functor.kernelRowCount(k), m_functor.kernelColCount(k),
testPointCount, trialPointCount);
#pragma ivdep
for (size_t trialIndex = 0; trialIndex < trialPointCount; ++trialIndex)
for (size_t testIndex = 0; testIndex < testPointCount; ++testIndex)
// m_functor.evaluate(testGeomData.const_slice(testIndex), trialGeomData.const_slice(trialIndex), result.slice(testIndex, trialIndex).self());
m_functor.evaluatePeter(str,testGeomData.const_slice(testIndex), trialGeomData.const_slice(trialIndex), result.slice(testIndex, trialIndex).self());
}
void DefaultTestKernelTrialIntegral<IntegrandFunctor>::
evaluateWithNontensorQuadratureRule(
const GeometricalData<CoordinateType> &testGeomData,
const GeometricalData<CoordinateType> &trialGeomData,
const CollectionOf3dArrays<BasisFunctionType> &testValues,
const CollectionOf3dArrays<BasisFunctionType> &trialValues,
const CollectionOf3dArrays<KernelType> &kernelValues,
const std::vector<CoordinateType> &quadWeights,
Matrix<ResultType> &result) const {
// Evaluate constants
const size_t testDofCount = testValues[0].extent(1);
const size_t trialDofCount = trialValues[0].extent(1);
const size_t pointCount = quadWeights.size();
// Assert that array dimensions are correct
for (size_t i = 0; i < kernelValues.size(); ++i)
assert(kernelValues[i].extent(2) == pointCount);
for (size_t i = 0; i < testValues.size(); ++i)
assert(testValues[i].extent(2) == pointCount);
for (size_t i = 0; i < trialValues.size(); ++i)
assert(trialValues[i].extent(2) == pointCount);
// Integrate
for (size_t trialDof = 0; trialDof < trialDofCount; ++trialDof)
for (size_t testDof = 0; testDof < testDofCount; ++testDof) {
ResultType sum = 0.;
for (size_t point = 0; point < pointCount; ++point)
sum += m_functor.evaluate(testGeomData.const_slice(point),
trialGeomData.const_slice(point),
testValues.const_slice(testDof, point),
trialValues.const_slice(trialDof, point),
kernelValues.const_slice(point)) *
(testGeomData.integrationElements(point) *
trialGeomData.integrationElements(point) * quadWeights[point]);
result(testDof, trialDof) = sum;
}
}
void DefaultCollectionOfShapesetTransformations<Functor>::evaluateImpl(
const BasisData<ValueType> &basisData,
const GeometricalData<CoordinateType> &geomData,
CollectionOf3dArrays<ValueType> &result) const {
const int pointCount = basisData.pointCount();
const int functionCount = basisData.functionCount();
const int transformationCount = m_functor.transformationCount();
result.set_size(transformationCount);
for (int t = 0; t < transformationCount; ++t)
result[t].set_size(m_functor.resultDimension(t), functionCount, pointCount);
for (int p = 0; p < pointCount; ++p)
for (int f = 0; f < functionCount; ++f)
m_functor.evaluate(basisData.const_slice(f, p), geomData.const_slice(p),
result.slice(f, p).self());
}
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;
}
}
}
//Peter:
//template <typename Functor>
//template <template <typename T> class CollectionOf2dSlicesOfNdArrays>
void evaluateAtPointPairsPeter(std::string str, const GeometricalData<CoordinateType> &testGeomData, const GeometricalData<CoordinateType> &trialGeomData, CollectionOf3dArrays<ValueType> &result) const {
assert(testGeomData.pointCount() == trialGeomData.pointCount());
const size_t pointCount = testGeomData.pointCount();
const size_t kernelCount = m_functor.kernelCount();
result.set_size(kernelCount);
//std::cout << "evalAtPointPairsPeter\n";
// CoordinateType m_waveNumber = m_functor.waveNumber();
// ValueType m_waveNumber = m_functor.waveNumber();
// std::string::size_type sz; // alias of size_t
// double earth = std::stod (orbits,&sz);
// double moon = std::stod (orbits.substr(sz));
// ValueType waveK = static_cast<CoordinateType>(std::stod(str,&sz) );
// std::cerr << "In defColKern, str = " << str << std::endl;
// ValueType waveK = static_cast<CoordinateType>(str);
for (size_t k = 0; k < kernelCount; ++k)
result[k].set_size(m_functor.kernelRowCount(k), m_functor.kernelColCount(k),
pointCount);
for (size_t p = 0; p < pointCount; ++p) {
/* if(std::is_same<Functor,ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType>>::value) {
std::cout << "Right kernel" << std::endl;
m_functor.evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
}
else {
std::cerr << "Wrong kernel" << std::endl;
std::terminate();
}*/
// (m_functor*)->evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
//std::unique_ptr<ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType> >(m_functor)->evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
// const ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType>& tmp = dynamic_cast<const ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType>& >(m_functor);
// ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType> tmp = static_cast<ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType> >(m_functor);
// static_cast<ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType> >(m_functor).evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
m_functor.evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
// const ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType> bla = dynamic_cast<const ModifiedHelmholtz3dSingleLayerPotentialKernelFunctor<ValueType>& > (m_functor);
// bla.evaluatePeter(str, testGeomData.const_slice(p), trialGeomData.const_slice(p), result.slice(p).self());
//// m_functor.evaluate(testGeomData.const_slice(p),
//// trialGeomData.const_slice(p), result.slice(p).self());
/*
const ConstGeometricalDataSlice<CoordinateType> &testGeomDataSl = testGeomData.const_slice(p);
const ConstGeometricalDataSlice<CoordinateType> &trialGeomDataSl = trialGeomData.const_slice(p);
// CollectionOf2dSlicesOfNdArrays<ValueType> &resultSl = result.slice(p).self();
CollectionOf2dSlicesOf3dArrays<ValueType> &resultSl = result.slice(p).self();
const int coordCount = 3;
CoordinateType sum = 0;
for (int coordIndex = 0; coordIndex < coordCount; ++coordIndex) {
CoordinateType diff = testGeomDataSl.global(coordIndex) - trialGeomDataSl.global(coordIndex);
sum += diff * diff;
}
CoordinateType distance = sqrt(sum);
if (distance >= 2) {
std::cerr << "Error, 2 <= distance =" << distance << std::endl;
}
CoordinateType wind = static_cast<CoordinateType>(1.0);
CoordinateType cuto = static_cast<CoordinateType>(0.1);
CoordinateType cutoSP = static_cast<CoordinateType>(0.3);
if (false) {
if (distance >= cuto*2) {
wind = static_cast<CoordinateType>(0.0);
}
else if (distance >= cuto) {
wind = exp(2*exp(-cuto/(distance-2*cuto) )/( (distance-2*cuto)/cuto-1) );
}
}
// result[0](0, 0) = static_cast<CoordinateType>(1.0 / (4.0 * M_PI)) / distance * exp(-m_waveNumber * distance)*wind;
// result(0, 0) = static_cast<CoordinateType>(1.0 / (4.0 * M_PI)) / distance * exp(-m_waveNumber * distance)*wind;
resultSl[0](0, 0) = static_cast<CoordinateType>(1.0 / (4.0 * M_PI)) / distance * exp(-waveK * distance)*wind;
*/
}
}