void Geometry::GetPerfPointMat (int GeomType, DenseMatrix &pm)
{
switch (GeomType)
{
case Geometry::SEGMENT:
{
pm.SetSize (1, 2);
pm(0,0) = 0.0;
pm(0,1) = 1.0;
}
break;
case Geometry::TRIANGLE:
{
pm.SetSize (2, 3);
pm(0,0) = 0.0; pm(1,0) = 0.0;
pm(0,1) = 1.0; pm(1,1) = 0.0;
pm(0,2) = 0.5; pm(1,2) = 0.86602540378443864676;
}
break;
case Geometry::SQUARE:
{
pm.SetSize (2, 4);
pm(0,0) = 0.0; pm(1,0) = 0.0;
pm(0,1) = 1.0; pm(1,1) = 0.0;
pm(0,2) = 1.0; pm(1,2) = 1.0;
pm(0,3) = 0.0; pm(1,3) = 1.0;
}
break;
case Geometry::TETRAHEDRON:
{
pm.SetSize (3, 4);
pm(0,0) = 0.0; pm(1,0) = 0.0; pm(2,0) = 0.0;
pm(0,1) = 1.0; pm(1,1) = 0.0; pm(2,1) = 0.0;
pm(0,2) = 0.5; pm(1,2) = 0.86602540378443864676; pm(2,2) = 0.0;
pm(0,3) = 0.5; pm(1,3) = 0.28867513459481288225;
pm(2,3) = 0.81649658092772603273;
}
break;
case Geometry::CUBE:
{
pm.SetSize (3, 8);
pm(0,0) = 0.0; pm(1,0) = 0.0; pm(2,0) = 0.0;
pm(0,1) = 1.0; pm(1,1) = 0.0; pm(2,1) = 0.0;
pm(0,2) = 1.0; pm(1,2) = 1.0; pm(2,2) = 0.0;
pm(0,3) = 0.0; pm(1,3) = 1.0; pm(2,3) = 0.0;
pm(0,4) = 0.0; pm(1,4) = 0.0; pm(2,4) = 1.0;
pm(0,5) = 1.0; pm(1,5) = 0.0; pm(2,5) = 1.0;
pm(0,6) = 1.0; pm(1,6) = 1.0; pm(2,6) = 1.0;
pm(0,7) = 0.0; pm(1,7) = 1.0; pm(2,7) = 1.0;
}
break;
default:
mfem_error ("Geometry::GetPerfPointMat (...)");
}
}
void IsoparametricTransformation::Transform (const IntegrationRule &ir,
DenseMatrix &tr)
{
int dof, n, dim, i, j, k;
dim = PointMat.Height();
dof = FElem->GetDof();
n = ir.GetNPoints();
shape.SetSize(dof);
tr.SetSize(dim, n);
for (j = 0; j < n; j++)
{
FElem -> CalcShape (ir.IntPoint(j), shape);
for (i = 0; i < dim; i++)
{
tr(i, j) = 0.0;
for (k = 0; k < dof; k++)
{
tr(i, j) += PointMat(i, k) * shape(k);
}
}
}
}
/// Construct a time-independent square matrix coefficient from a C-function
MatrixFunctionCoefficient(int dim, void (*F)(const Vector &, DenseMatrix &),
Coefficient *q = NULL)
: MatrixCoefficient(dim), Q(q)
{
Function = F;
TDFunction = NULL;
mat.SetSize(0);
}
void IsoparametricTransformation::Transform (const DenseMatrix &matrix,
DenseMatrix &result)
{
MFEM_ASSERT(matrix.Height() == GetDimension(), "invalid input");
result.SetSize(PointMat.Height(), matrix.Width());
IntegrationPoint ip;
Vector col;
for (int j = 0; j < matrix.Width(); j++)
{
ip.Set(matrix.GetColumn(j), matrix.Height());
result.GetColumnReference(j, col);
Transform(ip, col);
}
}
void IsoparametricTransformation::Transform (const DenseMatrix &matrix,
DenseMatrix &result)
{
result.SetSize(PointMat.Height(), matrix.Width());
IntegrationPoint ip;
Vector col;
for (int j = 0; j < matrix.Width(); j++)
{
ip.x = matrix(0, j);
if (matrix.Height() > 1)
{
ip.y = matrix(1, j);
if (matrix.Height() > 2)
{
ip.z = matrix(2, j);
}
}
result.GetColumnReference(j, col);
Transform(ip, col);
}
}