face ConstCombinatorialEmbedding::chooseFace() const
{
if (numberOfFaces() == 0) return nullptr;
int k = ogdf::randomNumber(0, numberOfFaces()-1);
face f = firstFace();
while(k--) f = f->succ();
return f;
}
void Tetrahedron::getCubatureJacobianHat(
Math::MatR43 cJHat[Math::Simplex::Tetrahedron<2>::ncp],
const Math::MatR44 cJ[Math::Simplex::Tetrahedron<2>::ncp],
const Math::Real cJDet[Math::Simplex::Tetrahedron<2>::ncp]) const {
// PURPOSE:
// See chapter 17.3.1 of Filippa's course on Advanced FEM.
std::size_t ind[3];
Math::MatR33 Jred, invJred;
Math::MatR43 res;
// Main loop, runs over all simplex coordinates.
for (std::size_t j = 0; j < numberOfFaces(); j++) {
// Chooses columns indices that will be substracted from the Jacobian.
switch (j) {
case 0:
ind[0] = 1;
ind[1] = 2;
ind[2] = 3;
break;
case 1:
ind[0] = 0;
ind[1] = 2;
ind[2] = 3;
break;
case 2:
ind[0] = 0;
ind[1] = 1;
ind[2] = 3;
break;
case 3:
ind[0] = 0;
ind[1] = 1;
ind[2] = 2;
break;
}
// Builds reduced jacobian for all cubature points.
for (std::size_t c = 0; c < Math::Simplex::Tetrahedron<1>::ncp; c++) {
// Substracts column j to column ind[c], to build J reduced.
for (std::size_t k = 0; k < 3; k++) {
for (std::size_t i = 0; i < 3; i++) {
Jred(k,i) = cJ[c](k,ind[i]) - cJ[c](k,j);
}
}
// Computes reduced jacobian inverse.
invJred = Jred.invert();
// Gets Jhat from the summation of reduced jacobians.
for (std::size_t m = 0; m < 3; m++) {
for (std::size_t n = 0; n < 3; n++) {
cJHat[c](j,m) -= invJred(n,m);
}
}
}
} // Ends j loop, running over faces.
// Multiplies by Jacobian determinant.
for (std::size_t c = 0; c < Math::Simplex::Tetrahedron<1>::ncp; c++) {
cJHat[c] *= cJDet[c];
}
}
void Tetrahedron::getCubatureJacobian(
Math::MatR44 res[Math::Simplex::Tetrahedron<2>::ncp]) const {
for (std::size_t s = 0; s < numberOfFaces(); s++)
for (std::size_t i = 0; i < numberOfCoordinates(); i++) {
const Math::CVecR3 v = *(getV(i));
for (std::size_t c = 0; c < Math::Simplex::Tetrahedron<2>::ncp;
c++) {
res[c](0,s) += v(0) * getTet().getCda(i,s,c);
res[c](1,s) += v(1) * getTet().getCda(i,s,c);
res[c](2,s) += v(2) * getTet().getCda(i,s,c);
res[c](3,s) = 1.0;
}
}
}
face ConstCombinatorialEmbedding::maximalFace() const
{
if (numberOfFaces() == 0) return nullptr;
face fMax = firstFace();
int max = fMax->size();
for(face f = fMax->succ(); f != nullptr; f = f->succ())
{
if (f->size() > max) {
max = f->size();
fMax = f;
}
}
return fMax;
}
Acad::ErrorStatus AsdkShellData::setFaceData(int colorIndex)
{
// If user overrides this function they must obey the following
// contract.
// 1. Allocate memory for AcGiFaceData and point it to mpFaceData
// 2. Allocate memory for all elements of AcGiFaceData.
// They are free to set any value to the members of AcGiFaceData.
// For example, the colors need not be the same for all faces as
// is shown in this example.
unsigned int numberFaces = numberOfFaces();
short* pColors = new short[numberFaces];
for (unsigned int i = 0; i < numberFaces; ++i)
pColors[i] = colorIndex;
// Set data members for AcgiFaceData to the above.
mpFaceData = new AcGiFaceData;
mpFaceData->setColors(pColors);
return Acad::eOk;
}