public Func <double[], double> GetF(string species, int d)
{
double rho = double.NaN;
switch (species)
{
case "A": rho = rho_A; break;
case "B": rho = rho_B; break;
throw new ArgumentException();
}
if (mu_A == 0.0 && mu_B == 0)
{
return(X => 0.0);
}
else
{
double sc = Math.Min(this.mu_A, this.mu_B);
double[] Fvec = new double[] { (1.0) * sc, 0 };
var FvecT = ROT.Transform(Fvec);
return(X => FvecT[d] / rho);
}
}
public Func <double[], double, double> GetU(string species, int d)
{
double a2, a1, a0;
if (species == "A")
{
ParabolaCoeffs_A(out a2, out a1, out a0);
}
else if (species == "B")
{
ParabolaCoeffs_B(out a2, out a1, out a0);
}
else
{
throw new ArgumentException();
}
return(((_2D)(delegate(double _x, double _y) {
var Coord = ROTinv.Transform(_x, _y);
double y = Coord[1];
Debug.Assert(Coord[0] >= -2);
Debug.Assert(Coord[0] <= +2);
Debug.Assert(Coord[1] >= -1);
Debug.Assert(Coord[1] <= +1);
double u = (a0 + a1 * y + a2 * y * y);
//double u = 1 - y*y;
var UT = ROT.Transform(u, 0.0);
return UT[d];
})).Convert_xy2X().Convert_X2Xt());
}
public Vector DistanceBetweenNodes(int jEdge)
{
int sourceCell = GridData.iLogicalEdges.CellIndices[jEdge, 0];
int targetCell = GridData.iLogicalEdges.CellIndices[jEdge, 1];
if (sourceCell < 0 || targetCell < 0)
{
throw new Exception("Boundary edge does not have two connected nodes.");
}
Vector sourceNode = new Vector(nodes.Positions[sourceCell, 0], nodes.Positions[sourceCell, 1]);
Vector targetNode = new Vector(nodes.Positions[targetCell, 0], nodes.Positions[targetCell, 1]);
//transform if Edge is periodic
int jGeomEdge = GridData.iLogicalEdges.EdgeToParts[jEdge][0];
if (this.iGridData.iGeomEdges.EdgeTags[jGeomEdge] >= GridCommons.FIRST_PERIODIC_BC_TAG)
{
int periodicEdgeTag = this.iGridData.iGeomEdges.EdgeTags[jGeomEdge] - GridCommons.FIRST_PERIODIC_BC_TAG;
AffineTrafo PerT = ((GridCommons)ParentGrid).PeriodicTrafo[periodicEdgeTag];
targetNode = PerT.Transform(targetNode);
}
;
Vector distance = targetNode - sourceNode;
return(distance);
}
public double NormalEdgeVelocity(int jEdge, double[] x, Vector normal)
{
int jCellIn = this.iGridData.iGeomEdges.CellIndices[jEdge, 1];
int jCellOut = this.iGridData.iGeomEdges.CellIndices[jEdge, 0];
int jCell_in = this.iGridData.iGeomCells.GeomCell2LogicalCell[jCellIn];
int jCell_ot = this.iGridData.iGeomCells.GeomCell2LogicalCell[jCellOut];
MultidimensionalArray positions = Nodes.Positions;
MultidimensionalArray velocities = Nodes.Velocity;
double[] posOt = positions.GetRow(jCell_ot);
double[] posIn = positions.GetRow(jCell_in);
double[] velOt = velocities.GetRow(jCell_ot);
double[] velIn = velocities.GetRow(jCell_in);
//transform if Edge is periodic
if (this.iGridData.iGeomEdges.EdgeTags[jEdge] >= GridCommons.FIRST_PERIODIC_BC_TAG)
{
int periodicEdgeTag = this.iGridData.iGeomEdges.EdgeTags[jEdge] - GridCommons.FIRST_PERIODIC_BC_TAG;
AffineTrafo PerT = ((GridCommons)ParentGrid).PeriodicTrafo[periodicEdgeTag];
posIn = PerT.Transform(posIn);
}
;
double result = VoronoiEdge.NormalVelocity(posOt, velOt, posIn, velIn, x, normal);
return(result);
}
public Func <double[], double, double> GetU(string species, int d)
{
return(((_2D)(delegate(double _x, double _y) {
var Coord = ROTinv.Transform(_x, _y);
double y = Coord[1];
double u = (1.0 - y * y);
var UT = ROT.Transform(u, 0.0);
return UT[d];
})).Convert_xy2X().Convert_X2Xt());
}
/// <summary>
/// Subdivides the leaves of thee tree.
/// </summary>
/// <param name="leavesLevel">
/// <see cref="SubdivideCutLeaves"/>.
/// </param>
/// <param name="refinedVertexSet">
/// <see cref="SubdivideCutLeaves"/>.
/// </param>
/// <param name="checkIsCut">
/// If true, leaves will only be subdivided if <see cref="IsCut"/>
/// returns true.
/// </param>
/// <param name="minDistance">
/// See <see cref="IsCut"/>.
/// </param>
/// <returns>
/// True, if at least one node has been subdivided. Otherwise,
/// false is returned.
/// </returns>
private bool SubdivideLeaves(int leavesLevel, NestedVertexSet refinedVertexSet, bool checkIsCut, double minDistance)
{
bool result = false;
if (level < leavesLevel)
{
if (Children.Count > 0)
{
foreach (Node child in Children)
{
result |= child.SubdivideLeaves(leavesLevel, refinedVertexSet, checkIsCut, minDistance);
}
}
}
else if (level == leavesLevel)
{
Debug.Assert(Children.Count == 0, "Can only subdivide leaves");
if (!checkIsCut || (checkIsCut && IsPotentiallyCut(minDistance)))
{
AffineTrafo[] transformations = owner.refElement.GetSubdivision();
int N = globalVertexIndices.Length;
int D = owner.refElement.SpatialDimension;
foreach (AffineTrafo elementaryTransformation in transformations)
{
AffineTrafo combinedTransformation = Transformation * elementaryTransformation;
int[] transfomedVertexIndices = new int[N];
for (int i = 0; i < N; i++)
{
double[] vertex = owner.refElement.Vertices.GetRow(i);
vertex = combinedTransformation.Transform(vertex);
transfomedVertexIndices[i] = refinedVertexSet.RegisterVertex(vertex);
}
Children.Add(new Node(
owner, this, level + 1, refinedVertexSet, transfomedVertexIndices, combinedTransformation));
result = true;
}
}
else
{
return(false);
}
}
else
{
throw new ArgumentException("Given leaves level is higher than the depth of the tree", "leavesLevel");
}
return(result);
}
/// <summary>
/// If this is a node set defined in the edge coordinate system, this method provides
/// the nodes transformed to the cell coordinate system.
/// </summary>
/// <param name="g"></param>
/// <param name="Edge2CellTrafoIndex">
/// The transformation index (from edge to cell coordinate system), i.e. an index into <see cref="GridData.EdgeData.Edge2CellTrafos"/>,
/// see also <see cref="GridData.EdgeData.Edge2CellTrafoIndex"/>.
/// </param>
/// <returns></returns>
public NodeSet GetVolumeNodeSet(IGridData g, int Edge2CellTrafoIndex)
{
if (!base.IsLocked)
{
throw new NotSupportedException("NodeSet must be locked before first usage.");
}
Debug.Assert((base.GetLength(1) == this.RefElement.SpatialDimension) || (base.GetLength(1) == 1 && this.RefElement.SpatialDimension == 0), "Mismatch between number of spatial directions in node set and reference element.");
#if DEBUG
if (this.GetNodeCoordinateSystem(g) != NodeCoordinateSystem.EdgeCoord)
{
throw new NotSupportedException("Operation only supported for edge node sets.");
}
#endif
int D = g.SpatialDimension;
int NN = this.NoOfNodes;
int idx = Edge2CellTrafoIndex + g.iGeomEdges.e2C_offet;
if (VolumeNodeSets == null)
{
// alloc mem, if necessary
// ++++++++++++++++++++++++
VolumeNodeSets = new NodeSet[g.iGeomEdges.Edge2CellTrafos.Count + g.iGeomEdges.e2C_offet];
}
if (VolumeNodeSets.Length < (g.iGeomEdges.Edge2CellTrafos.Count + g.iGeomEdges.e2C_offet))
{
// re-alloc mem, if necessary
// ++++++++++++++++++++++++++
var newVNS = new NodeSet[g.iGeomEdges.Edge2CellTrafos.Count + g.iGeomEdges.e2C_offet];
Array.Copy(VolumeNodeSets, 0, newVNS, 0, VolumeNodeSets.Length);
VolumeNodeSets = newVNS;
}
if (VolumeNodeSets[idx] == null)
{
// transform edge-nodes to cell-nodes, if necessary
// ++++++++++++++++++++++++++++++++++++++++++++++++
AffineTrafo Trafo = g.iGeomEdges.Edge2CellTrafos[Edge2CellTrafoIndex];
int iKref = g.iGeomEdges.Edge2CellTrafosRefElementIndices[Edge2CellTrafoIndex];
NodeSet volNS = new NodeSet(g.iGeomCells.RefElements[iKref], NN, D);
Trafo.Transform(this, volNS);
volNS.LockForever();
VolumeNodeSets[idx] = volNS;
}
return(VolumeNodeSets[idx]);
}
/// <summary>
/// Evaluates the vector-valued anti-derivatives defining the
/// moment-fitting basis (cf. <see cref="lambdaBasis"/>) in each node
/// of all cells in the given range
/// </summary>
/// <param name="i0">
/// First cell in range
/// </param>
/// <param name="length">
/// Number of cells
/// </param>
/// <returns>
/// The values of <see cref="lambdaBasis"/> in each node
/// <list type="bullet">
/// <item>1st index: Node index</item>
/// <item>2nd index: Basis function index</item>
/// <item>3rd index: Spatial dimension</item>
/// </list>
/// </returns>
/// <remarks>
/// This method does not evaluate a Lambda which is constant since the
/// derivative of such function is zero. As a result, the integral over
/// this function is zero, too, which makes it useless for the
/// construction of a quadrature rule
/// </remarks>
/// <param name="NS">
/// Nodes at which to evaluate.
/// </param>
private MultidimensionalArray EvaluateLambdas(int cell, NodeSet NS)
{
int D = LevelSetData.GridDat.SpatialDimension;
Debug.Assert(
lambdaBasis.Count % D == 0,
"Number of polynomials in basis should be divisible by D = " + D);
int noOfLambdas = lambdaBasis.Count / D;
int noOfNodes = NS.NoOfNodes;
if (RestrictNodes)
{
AffineTrafo trafo = trafos[localCellIndex2SubgridIndex[cell]];
AffineTrafo inverse = trafo.Invert();
NS = new NodeSet(RefElement, inverse.Transform(NS));
NS.LockForever();
MultidimensionalArray lambdaValues = lambdaBasis.Values.GetValues(NS);
lambdaValues = lambdaValues.ResizeShallow(noOfNodes, noOfLambdas, D);
for (int i = 0; i < noOfNodes; i++)
{
for (int j = 0; j < noOfLambdas; j++)
{
for (int d = 0; d < D; d++)
{
// Bounding box transformation is assumed to just a
// stretching, i.e. off-diagonals are zero
lambdaValues[i, j, d] *= trafo.Matrix[d, d];
}
}
}
return(lambdaValues);
}
else
{
MultidimensionalArray lambdaValues = lambdaBasis.Values.GetValues(NS);
return(lambdaValues.ResizeShallow(noOfNodes, noOfLambdas, D));
}
}
/// <summary>
/// Non-vectorized reference implementation of
/// <see cref="GetOptimizedRule(int, AffineTrafo, NodeSet, double[,], int)"/>
/// </summary>
/// <param name="cell"></param>
/// <param name="trafo"></param>
/// <param name="nodes"></param>
/// <param name="quadResults"></param>
/// <param name="order"></param>
/// <returns></returns>
private QuadRule GetOptimizedRule(int cell, AffineTrafo trafo, NodeSet nodes, double[,] quadResults, int order)
{
int maxLambdaDegree = order + 1;
int noOfLambdas = GetNumberOfLambdas(maxLambdaDegree);
int noOfNodes = nodes.GetLength(0);
// Leading dimension of B (rhs); required by DGELSY
int LDB = Math.Max(noOfLambdas, noOfNodes);
double[] rhs = new double[LDB];
AffineTrafo inverseTrafo = trafo.Invert();
NodeSet trafoNodes = new NodeSet(RefElement, inverseTrafo.Transform(nodes));
trafoNodes.LockForever();
Basis basis = new Basis(LevelSetData.GridDat, order);
MultidimensionalArray basisValues = basis.Evaluate(trafoNodes);
int iSubGrid = localCellIndex2SubgridIndex[cell];
for (int k = 0; k < noOfLambdas; k++)
{
rhs[k] += quadResults[iSubGrid, k];
}
LAPACK.F77_LAPACK.DGELSY(noOfLambdas, noOfNodes, basisValues.Storage, rhs, 1, RCOND);
QuadRule optimizedRule = new QuadRule()
{
Nodes = nodes,
Weights = MultidimensionalArray.Create(noOfNodes),
OrderOfPrecision = order
};
for (int j = 0; j < noOfNodes; j++)
{
optimizedRule.Weights[j] = rhs[j];
}
return(optimizedRule);
}
/// <summary>
/// Constructs suitable quadrature rules cells in
/// <paramref name="mask"/>.
/// </summary>
/// <param name="mask">
/// Cells for which quadrature rules shall be created
/// </param>
/// <param name="order">
/// Desired order of the moment-fitting system. Assuming that
/// <see cref="surfaceRuleFactory"/> integrates the basis polynomials
/// exactly over the zero iso-contour (which it usually
/// doesn't!), the resulting quadrature rules will be exact up to this
/// order.
/// </param>
/// <returns>A set of quadrature rules</returns>
/// <remarks>
/// Since the selected level set is generally discontinuous across cell
/// boundaries, this method does not make use of the fact that
/// neighboring cells share edges. That is, the optimization will be
/// performed twice for each inner edge in <paramref name="mask"/>.
/// </remarks>
public IEnumerable <IChunkRulePair <QuadRule> > GetQuadRuleSet(ExecutionMask mask, int order)
{
using (var tr = new FuncTrace()) {
CellMask cellMask = mask as CellMask;
if (cellMask == null)
{
throw new ArgumentException("Mask must be a volume mask", "mask");
}
// Note: This is a parallel call, so do this early to avoid parallel confusion
localCellIndex2SubgridIndex = new SubGrid(cellMask).LocalCellIndex2SubgridIndex;
int maxLambdaDegree = order + 1;
int noOfLambdas = GetNumberOfLambdas(maxLambdaDegree);
int noOfEdges = LevelSetData.GridDat.Grid.RefElements[0].NoOfFaces;
int D = RefElement.SpatialDimension;
// Get the basis polynomials and integrate them analytically
Polynomial[] basePolynomials = RefElement.GetOrthonormalPolynomials(order).ToArray();
Polynomial[] polynomials = new Polynomial[basePolynomials.Length * D];
for (int i = 0; i < basePolynomials.Length; i++)
{
Polynomial p = basePolynomials[i];
for (int d = 0; d < D; d++)
{
Polynomial pNew = p.CloneAs();
for (int j = 0; j < p.Coeff.Length; j++)
{
pNew.Exponents[j, d]++;
pNew.Coeff[j] /= pNew.Exponents[j, d];
pNew.Coeff[j] /= D; // Make sure divergence is Phi again
}
polynomials[i * D + d] = pNew;
}
}
// basePolynomials[i] == div(polynomials[i*D], ... , polynomials[i*D + D - 1])
lambdaBasis = new PolynomialList(polynomials);
if (RestrictNodes)
{
trafos = new AffineTrafo[mask.NoOfItemsLocally];
foreach (Chunk chunk in mask)
{
foreach (var cell in chunk.Elements.AsSmartEnumerable())
{
CellMask singleElementMask = new CellMask(
LevelSetData.GridDat, Chunk.GetSingleElementChunk(cell.Value));
LineAndPointQuadratureFactory.LineQRF lineFactory = this.edgeRuleFactory as LineAndPointQuadratureFactory.LineQRF;
if (lineFactory == null)
{
throw new Exception();
}
var lineRule = lineFactory.GetQuadRuleSet(singleElementMask, order).Single().Rule;
var pointRule = lineFactory.m_Owner.GetPointFactory().GetQuadRuleSet(singleElementMask, order).Single().Rule;
// Also add point rule points since line rule points
// are constructed from Gauss rules that do not include
// the end points
BoundingBox box = new BoundingBox(lineRule.Nodes);
box.AddPoints(pointRule.Nodes);
int noOfRoots = pointRule.Nodes.GetLength(0);
if (noOfRoots <= 1)
{
// Cell is considered cut because the level set
// is very close, but actually isn't. Note that
// we can NOT omit the cell (as in the surface
// case) as it will be missing in the list of
// uncut cells, i.e. this cell would be ignored
// completely
trafos[localCellIndex2SubgridIndex[cell.Value]] =
AffineTrafo.Identity(RefElement.SpatialDimension);
continue;
}
else if (noOfRoots == 2)
{
// Go a bit into the direction of the normal
// from the center between the nodes in order
// not to miss regions with strong curvature
double[] center = box.Min.CloneAs();
center.AccV(1.0, box.Max);
center.ScaleV(0.5);
NodeSet centerNode = new NodeSet(RefElement, center);
centerNode.LockForever();
MultidimensionalArray normal = LevelSetData.GetLevelSetReferenceNormals(centerNode, cell.Value, 1);
MultidimensionalArray dist = LevelSetData.GetLevSetValues(centerNode, cell.Value, 1);
double scaling = Math.Sqrt(LevelSetData.GridDat.Cells.JacobiDet[cell.Value]);
double[] newPoint = new double[D];
for (int d = 0; d < D; d++)
{
newPoint[d] = center[d] - normal[0, 0, d] * dist[0, 0] / scaling;
}
box.AddPoint(newPoint);
// Make sure points stay in box
for (int d = 0; d < D; d++)
{
box.Min[d] = Math.Max(box.Min[d], -1);
box.Max[d] = Math.Min(box.Max[d], 1);
}
}
MultidimensionalArray preImage = RefElement.Vertices.ExtractSubArrayShallow(
new int[] { 0, 0 }, new int[] { D, D - 1 });
MultidimensionalArray image = MultidimensionalArray.Create(D + 1, D);
image[0, 0] = box.Min[0]; // Top left
image[0, 1] = box.Max[1];
image[1, 0] = box.Max[0]; // Top right
image[1, 1] = box.Max[1];
image[2, 0] = box.Min[0]; // Bottom left;
image[2, 1] = box.Min[1];
AffineTrafo trafo = AffineTrafo.FromPoints(preImage, image);
trafos[localCellIndex2SubgridIndex[cell.Value]] = trafo;
}
}
}
LambdaCellBoundaryQuadrature cellBoundaryQuadrature =
new LambdaCellBoundaryQuadrature(this, edgeRuleFactory, cellMask);
cellBoundaryQuadrature.Execute();
LambdaLevelSetSurfaceQuadrature surfaceQuadrature =
new LambdaLevelSetSurfaceQuadrature(this, surfaceRuleFactory, cellMask);
surfaceQuadrature.Execute();
// Must happen _after_ all parallel calls (e.g., definition of
// the sub-grid or quadrature) in order to avoid problems in
// parallel runs
if (mask.NoOfItemsLocally == 0)
{
var empty = new ChunkRulePair <QuadRule> [0];
return(empty);
}
if (cachedRules.ContainsKey(order))
{
order = cachedRules.Keys.Where(cachedOrder => cachedOrder >= order).Min();
CellMask cachedMask = new CellMask(mask.GridData, cachedRules[order].Select(p => p.Chunk).ToArray());
if (cachedMask.Equals(mask))
{
return(cachedRules[order]);
}
else
{
throw new NotImplementedException(
"Case not yet covered yet in combination with caching; deactivate caching to get rid of this message");
}
}
double[,] quadResults = cellBoundaryQuadrature.Results;
foreach (Chunk chunk in mask)
{
for (int i = 0; i < chunk.Len; i++)
{
int iSubGrid = localCellIndex2SubgridIndex[chunk.i0 + i];
switch (jumpType)
{
case JumpTypes.Heaviside:
for (int k = 0; k < noOfLambdas; k++)
{
quadResults[iSubGrid, k] -= surfaceQuadrature.Results[iSubGrid, k];
}
break;
case JumpTypes.OneMinusHeaviside:
for (int k = 0; k < noOfLambdas; k++)
{
quadResults[iSubGrid, k] += surfaceQuadrature.Results[iSubGrid, k];
}
break;
case JumpTypes.Sign:
for (int k = 0; k < noOfLambdas; k++)
{
quadResults[iSubGrid, k] -= 2.0 * surfaceQuadrature.Results[iSubGrid, k];
}
break;
default:
throw new NotImplementedException();
}
}
}
BitArray voidCellsArray = new BitArray(LevelSetData.GridDat.Cells.NoOfLocalUpdatedCells);
BitArray fullCellsArray = new BitArray(LevelSetData.GridDat.Cells.NoOfLocalUpdatedCells);
foreach (Chunk chunk in cellMask)
{
foreach (var cell in chunk.Elements)
{
double rhsL2Norm = 0.0;
for (int k = 0; k < noOfLambdas; k++)
{
double entry = quadResults[localCellIndex2SubgridIndex[cell], k];
rhsL2Norm += entry * entry;
}
if (rhsL2Norm < 1e-14)
{
// All integrals are zero => cell not really cut
// (level set is tangent) and fully in void region
voidCellsArray[cell] = true;
continue;
}
double l2NormFirstIntegral = quadResults[localCellIndex2SubgridIndex[cell], 0];
l2NormFirstIntegral *= l2NormFirstIntegral;
double rhsL2NormWithoutFirst = rhsL2Norm - l2NormFirstIntegral;
// Beware: This check is only sensible if basis is orthonormal on RefElement!
if (rhsL2NormWithoutFirst < 1e-14 &&
Math.Abs(l2NormFirstIntegral - RefElement.Volume) < 1e-14)
{
// All integrals are zero except integral over first integrand
// If basis is orthonormal, this implies that cell is uncut and
// fully in non-void region since then
// \int_K \Phi_i dV = \int_A \Phi_i dV = \delta_{0,i}
// However, we have to compare RefElement.Volume since
// integration is performed in reference coordinates!
fullCellsArray[cell] = true;
}
}
}
var result = new List <ChunkRulePair <QuadRule> >(cellMask.NoOfItemsLocally);
CellMask emptyCells = new CellMask(LevelSetData.GridDat, voidCellsArray);
foreach (Chunk chunk in emptyCells)
{
foreach (int cell in chunk.Elements)
{
QuadRule emptyRule = QuadRule.CreateEmpty(RefElement, 1, RefElement.SpatialDimension);
emptyRule.Nodes.LockForever();
result.Add(new ChunkRulePair <QuadRule>(
Chunk.GetSingleElementChunk(cell), emptyRule));
}
}
CellMask fullCells = new CellMask(LevelSetData.GridDat, fullCellsArray);
foreach (Chunk chunk in fullCells)
{
foreach (int cell in chunk.Elements)
{
QuadRule fullRule = RefElement.GetQuadratureRule(order);
result.Add(new ChunkRulePair <QuadRule>(
Chunk.GetSingleElementChunk(cell), fullRule));
}
}
CellMask realCutCells = cellMask.Except(emptyCells).Except(fullCells);
if (RestrictNodes)
{
foreach (Chunk chunk in realCutCells)
{
foreach (int cell in chunk.Elements)
{
CellMask singleElementMask = new CellMask(
LevelSetData.GridDat, Chunk.GetSingleElementChunk(cell));
AffineTrafo trafo = trafos[localCellIndex2SubgridIndex[cell]];
Debug.Assert(Math.Abs(trafo.Matrix.Determinant()) > 1e-10);
NodeSet nodes = GetNodes(noOfLambdas).CloneAs();
NodeSet mappedNodes = new NodeSet(RefElement, trafo.Transform(nodes));
mappedNodes.LockForever();
// Remove nodes in negative part
MultidimensionalArray levelSetValues = LevelSetData.GetLevSetValues(mappedNodes, cell, 1);
List <int> nodesToBeCopied = new List <int>(mappedNodes.GetLength(0));
for (int n = 0; n < nodes.GetLength(0); n++)
{
if (levelSetValues[0, n] >= 0.0)
{
nodesToBeCopied.Add(n);
}
}
NodeSet reducedNodes = new NodeSet(
this.RefElement, nodesToBeCopied.Count, D);
for (int n = 0; n < nodesToBeCopied.Count; n++)
{
for (int d = 0; d < D; d++)
{
reducedNodes[n, d] = mappedNodes[nodesToBeCopied[n], d];
}
}
reducedNodes.LockForever();
QuadRule optimizedRule = GetOptimizedRule(
cell,
trafo,
reducedNodes,
quadResults,
order);
result.Add(new ChunkRulePair <QuadRule>(
singleElementMask.Single(), optimizedRule));
}
}
}
else
{
// Use same nodes in all cells
QuadRule[] optimizedRules = GetOptimizedRules(
realCutCells, GetNodes(noOfLambdas), quadResults, order);
int ruleIndex = 0;
foreach (Chunk chunk in realCutCells)
{
foreach (var cell in chunk.Elements)
{
result.Add(new ChunkRulePair <QuadRule>(
Chunk.GetSingleElementChunk(cell), optimizedRules[ruleIndex]));
ruleIndex++;
}
}
}
cachedRules[order] = result.OrderBy(p => p.Chunk.i0).ToArray();
return(cachedRules[order]);
}
}