protected override NodeSetController.NodeSetContainer[] CreateNodeSetFamily(Platform.MultidimensionalArray NodesUntransformed)
{
Simplex volSimplx = m_Context.Grid.GridSimplex;
int NoOfEdgesPerSimplex = volSimplx.NoOfEdges;
int NoOfTrafos = m_Context.GridDat.InterCellTransformations.Length;
int NoOfNodes = NodesUntransformed.GetLength(0);
int D = m_Context.Grid.SpatialDimension;
//// ======
//// create
//// ======
//for (int i = 0; i < m_TestFunctions_1stCell.GetLength(0); i++) {
// m_NodesUntransfomedVolCoord_1stEdge[i] = MultidimensionalArray.CreateEmpty(2);
// for (int _k = 0; _k < m_NodesUntransfomedVolCoord_2ndEdge.GetLength(1); _k++)
// m_NodesUntransfomedVolCoord_2ndEdge[i, _k] = MultidimensionalArray.CreateEmpty(2);
//}
//// ==========================
//// allocate storage structure
//// ==========================
//for (int e = 0; e < NoOfEdgesPerSimplex; e++) {
// m_NodesUntransfomedVolCoord_1stEdge[e].Allocate(NoOfNodes, D);
// for (int k = 0; k < NoOfTrafos; k++) {
// m_NodesUntransfomedVolCoord_2ndEdge[e, k].Allocate(NoOfNodes, D);
// }
//}
// ================================================================================
// transform quadrature nodes from edge simplex to volume simplex coordinate system
// ================================================================================
NodeSetController.NodeSetContainer[] nodeSetFamily = new NodeSetController.NodeSetContainer[NoOfEdgesPerSimplex * (NoOfTrafos + 1)];
int NoOftrafos = m_Context.GridDat.InterCellTransformations.Length;
for (int e = 0; e < NoOfEdgesPerSimplex; e++)
{
var nodes = MultidimensionalArray.Create(NoOfNodes, D);
volSimplx.EdgeToVolumeCoordinates(e, NodesUntransformed, nodes);
nodeSetFamily[e] = m_Context.NSC.CreateContainer(nodes, 0.0);
for (int _k = 0; _k < NoOftrafos; _k++)
{
var nodes2 = MultidimensionalArray.Create(NoOfNodes, D);
m_Context.GridDat.InterCellTransformations[_k].Transform(nodes, nodes2);
nodeSetFamily[NodeSetIndex(e, _k)] = m_Context.NSC.CreateContainer(nodes2, 0.0);
}
}
return(nodeSetFamily);
}
public LineSegment[] GetReferenceLineSegments()
{
Stack <Simplex> simplexHierarchy = new Stack <Simplex>();
Simplex currentSimplex = Simplex;
int spatialDimension = Simplex.SpatialDimension;
int n = 0;
while (currentSimplex.GetType() != lineSimplex.GetType())
{
if (n > MAX_SIMPLEX_LEVELS)
{
throw new ApplicationException("Something went terribly wrong. Please contact Björn");
}
simplexHierarchy.Push(currentSimplex);
currentSimplex = currentSimplex.EdgeSimplex;
n++;
}
MultidimensionalArray vertexCoordinates = MultidimensionalArray.Create(2, 1);
vertexCoordinates[0, 0] = -1.0;
vertexCoordinates[1, 0] = 1.0;
while (simplexHierarchy.Count > 0)
{
currentSimplex = simplexHierarchy.Pop();
int noOfVertices = vertexCoordinates.GetLength(0);
int D = currentSimplex.SpatialDimension;
MultidimensionalArray volumeCoordinates = MultidimensionalArray.Create(
noOfVertices * currentSimplex.NoOfEdges, currentSimplex.SpatialDimension);
for (int e = 0; e < currentSimplex.NoOfEdges; e++)
{
MultidimensionalArray coordinates = MultidimensionalArray.Create(noOfVertices, D);
currentSimplex.EdgeToVolumeCoordinates(e, vertexCoordinates, coordinates);
for (int i = 0; i < noOfVertices; i++)
{
for (int d = 0; d < D; d++)
{
volumeCoordinates[e * noOfVertices + i, d] = coordinates[i, d];
}
}
}
vertexCoordinates = volumeCoordinates;
}
Debug.Assert(
vertexCoordinates.GetLength(0) % 2 == 0,
"Even number of vertices expected");
int initialNumberOfLineSegments = vertexCoordinates.GetLength(0) / 2;
List <LineSegment> lineSegments = new List <LineSegment>(initialNumberOfLineSegments);
for (int i = 0; i < initialNumberOfLineSegments; i++)
{
LineSegment newSegment = new LineSegment(spatialDimension, RootFindingAlgorithm);
for (int d = 0; d < spatialDimension; d++)
{
newSegment.Start[d] = vertexCoordinates[2 * i + 0, d];
newSegment.End[d] = vertexCoordinates[2 * i + 1, d];
}
if (!lineSegments.Contains(newSegment))
{
lineSegments.Add(newSegment);
tracker.Subscribe(newSegment);
}
}
foreach (LineSegment segment in lineSegments)
{
LevelSet levelSetField = tracker.LevelSets[levSetIndex] as LevelSet;
if (levelSetField != null)
{
segment.ProjectBasisPolynomials(levelSetField.Basis);
}
}
return(lineSegments.ToArray());
}