/// <summary>
/// Uses the given edge rule factory to create quadrature rules for
/// the boundaries of all cells in <paramref name="mask"/>.
/// </summary>
/// <param name="mask">
/// A <b><see cref="CellMask"/></b> containing all cells to be
/// integrated over.
/// </param>
/// <param name="order">
/// <see cref="IQuadRuleFactory{T}.GetQuadRuleSet"/>
/// </param>
/// <returns>
/// Quadrature rules for the boundary of all cells in
/// <paramref name="mask"/> in the volume coordinate system.
/// </returns>
public IEnumerable <IChunkRulePair <T> > GetQuadRuleSet(ExecutionMask mask, int order)
{
if (!(mask is CellMask))
{
throw new ArgumentException("Expecting a cell/volume mask.");
}
if (mask.MaskType != MaskType.Geometrical)
{
throw new ArgumentException("Expecting a geometrical mask.");
}
if (!object.ReferenceEquals(this.context, mask.GridData))
{
throw new ArgumentException();
}
// helper vars
int D = this.context.SpatialDimension;
var CellToEdge = this.context.iLogicalCells.Cells2Edges;
var EdgeToCell = this.context.iLogicalEdges.CellIndices;
var FaceIndices = this.context.iGeomEdges.FaceIndices;
var TrafoIdx = this.context.iGeomEdges.Edge2CellTrafoIndex;
var EdgeToCellTrafos = this.context.iGeomEdges.Edge2CellTrafos;
int NoOfFaces = RefElement.NoOfFaces;
var Scalings = context.iGeomEdges.Edge2CellTrafos_SqrtGramian;
int J = this.context.iLogicalCells.NoOfLocalUpdatedCells;
// output data structure, temporary
Dictionary <int, T> cellBndRuleMap = new Dictionary <int, T>();
// Get edge quad rules
BitArray edgeBitMask = new BitArray(context.iGeomEdges.Count);
foreach (Chunk chunk in mask)
{
foreach (int cell in chunk.Elements)
{
var LocalCellIndexToEdges_cell = CellToEdge[cell];
for (int e = LocalCellIndexToEdges_cell.Length - 1; e >= 0; e--)
{
int edge = Math.Abs(LocalCellIndexToEdges_cell[e]) - 1;
edgeBitMask[edge] = true;
}
cellBndRuleMap.Add(cell, new T()
{
NumbersOfNodesPerFace = new int[NoOfFaces]
});
}
}
IEnumerable <IChunkRulePair <QuadRule> > edgeRuleMap = edgeRuleFactory.GetQuadRuleSet(
new EdgeMask(context, edgeBitMask, MaskType.Geometrical), order);
// build cell boundary rule
var CellBitMask = mask.GetBitMask();
foreach (var edgeRule in edgeRuleMap)
{
QuadRule rule = edgeRule.Rule;
Debug.Assert(rule.Nodes.GetLength(1) == Math.Max(D - 1, 1));
int iEdge0 = edgeRule.Chunk.i0;
int iEdgeE = edgeRule.Chunk.JE;
for (int iEdge = iEdge0; iEdge < iEdgeE; iEdge++)
{
for (int kk = 0; kk < 2; kk++) // loop over in and out
{
int jCell = EdgeToCell[iEdge, kk];
if (jCell < 0 || jCell >= J)
{
continue;
}
if (!CellBitMask[jCell])
{
continue;
}
int iTrafo = TrafoIdx[iEdge, kk];
var trafo = EdgeToCellTrafos[iTrafo];
int iFace = FaceIndices[iEdge, kk];
double scl = Scalings[iTrafo];
NodeSet VolumeNodes = new NodeSet(this.RefElement, rule.NoOfNodes, D);
trafo.Transform(rule.Nodes, VolumeNodes);
VolumeNodes.LockForever();
var cellBndRule = cellBndRuleMap[jCell];
AddToCellBoundaryRule(cellBndRule, VolumeNodes, rule.Weights, iFace, scl);
}
}
}
// return
// ======
{
int[] Cells = cellBndRuleMap.Keys.ToArray();
Array.Sort(Cells);
ChunkRulePair <T>[] R = new ChunkRulePair <T> [Cells.Length];
for (int i = 0; i < R.Length; i++)
{
int jCell = Cells[i];
cellBndRuleMap[jCell].Nodes.LockForever();
R[i] = new ChunkRulePair <T>(Chunk.GetSingleElementChunk(jCell), cellBndRuleMap[jCell]);
}
return(R);
}
}
/// <summary>
/// Zips two lists of <see cref="IChunkRulePair{T}"/>s (sorted by
/// <see cref="Chunk"/>) into a single sorted list of
/// <see cref="IChunkRulePair{T}"/>s. In this process, the items of
/// <paramref name="B"/> dominate over the items in
/// <paramref name="A"/>, see <see cref="Merge"/>.
/// </summary>
/// <param name="A">
/// The inferior quadrature rules (i.e., is dominated by
/// <paramref name="B"/> in case of conflicts)
/// </param>
/// <param name="B">
/// The dominant quadrature rules.
/// </param>
/// <returns>
/// A combination of the list <paramref name="A"/> and
/// <paramref name="B"/>.
/// </returns>
private static List <IChunkRulePair <TQuadRule> > ZipChunkRulePairs(
List <IChunkRulePair <TQuadRule> > A, List <IChunkRulePair <TQuadRule> > B)
{
if (A.Count == 0)
{
return(B);
}
else if (B.Count == 0)
{
return(A);
}
var chunkRulePairs = new List <IChunkRulePair <TQuadRule> >(A.Count + B.Count);
var eA = A.GetEnumerator();
var eB = B.GetEnumerator();
eA.MoveNext();
IChunkRulePair <TQuadRule> currentA = eA.Current;
while (eB.MoveNext())
{
while (currentA != null && currentA.Chunk.i0 <= eB.Current.Chunk.i0)
{
Chunk chunkBeforeCurrentB = new Chunk()
{
i0 = currentA.Chunk.i0,
Len = eB.Current.Chunk.i0 - currentA.Chunk.i0
};
if (chunkBeforeCurrentB.Len > 0)
{
chunkRulePairs.Add(new ChunkRulePair <TQuadRule>(
chunkBeforeCurrentB, currentA.Rule));
}
Chunk chunkAfterCurrentB = new Chunk()
{
i0 = eB.Current.Chunk.JE,
Len = currentA.Chunk.JE - eB.Current.Chunk.JE
};
if (chunkAfterCurrentB.Len > 0)
{
currentA = new ChunkRulePair <TQuadRule>(
chunkAfterCurrentB, currentA.Rule);
}
else
{
if (eA.MoveNext())
{
currentA = eA.Current;
}
else
{
currentA = null;
}
}
}
chunkRulePairs.Add(eB.Current);
}
// Current a has not yet been added
if (currentA != null)
{
chunkRulePairs.Add(currentA);
}
// B is finished but some items of A are left
while (eA.MoveNext())
{
chunkRulePairs.Add(currentA);
}
return(chunkRulePairs);
}
/// <summary>
/// produces an edge quadrature rule
/// </summary>
/// <param name="mask">an edge mask</param>
/// <param name="order">desired order</param>
/// <returns></returns>
public IEnumerable <IChunkRulePair <QuadRule> > GetQuadRuleSet(ExecutionMask mask, int order)
{
// init & checks
// =============
if (!(mask is EdgeMask))
{
throw new ArgumentException("Expecting an edge mask.");
}
#if DEBUG
var maskBitMask = mask.GetBitMask();
#endif
var Edg2Cel = this.grd.iGeomEdges.CellIndices;
var Edg2Fac = this.grd.iGeomEdges.FaceIndices;
int J = this.grd.Cells.NoOfLocalUpdatedCells;
QuadRule DefaultRule = this.RefElement.GetQuadratureRule(order);;
int myIKrfeEdge = this.grd.Edges.EdgeRefElements.IndexOf(this.RefElement, (a, b) => object.ReferenceEquals(a, b));
if (myIKrfeEdge < 0)
{
throw new ApplicationException("fatal error");
}
int[] EdgeIndices = mask.ItemEnum.ToArray();
int NoEdg = EdgeIndices.Length;
// return value
ChunkRulePair <QuadRule>[] Ret = new ChunkRulePair <QuadRule> [NoEdg];
// find cells
// ==========
BitArray CellBitMask = new BitArray(J);
int[] Cells = new int[NoEdg]; // mapping: Edge Index --> Cell Index (both geometrical)
int[] Faces = new int[NoEdg]; // mapping: Edge Index --> Face
BitArray MaxDomainMask = m_maxDomain.GetBitMask();
{
for (int i = 0; i < NoEdg; i++)
{
int iEdge = EdgeIndices[i];
if (this.grd.Edges.GetRefElementIndex(iEdge) != myIKrfeEdge)
{
throw new ArgumentException("illegal edge mask");
}
if (!(grd.Edges.IsEdgeConformalWithCell1(iEdge) || grd.Edges.IsEdgeConformalWithCell2(iEdge)))
{
throw new NotSupportedException("For an edge that is not conformal with at least one cell, no edge rule can be created from a cell boundary rule.");
}
int jCell0 = Edg2Cel[iEdge, 0];
int jCell1 = Edg2Cel[iEdge, 1];
bool conf0 = grd.Edges.IsEdgeConformalWithCell1(iEdge);
bool conf1 = grd.Edges.IsEdgeConformalWithCell2(iEdge);
// this gives no errors for surface elements in 3D
bool Allow0 = MaxDomainMask[jCell0];
bool Allow1 = (jCell1 >= 0 && jCell1 < J) ? MaxDomainMask[jCell1] : false;
// //this is required for MPI parallel calculations
//bool Allow0 = true;// AllowedCells[jCell0];
//bool Allow1 = (jCell1 >= 0 && jCell1 < J);// ? AllowedCells[jCell1] : false;
if (!Allow0 && !Allow1)
{
// fallback onto default rule, if allowed
//if (this.m_DefaultRuleFallbackAllowed) {
// Cells[i] = -1; // by a negative index, we mark that we take the default rule
// Faces[i] = -1;
// Ret[i] = new ChunkRulePair<QuadRule>(Chunk.GetSingleElementChunk(EdgeIndices[i]), DefaultRule);
//} else {
throw new ArgumentException("unable to find a cell from which the edge rule can be taken.");
//}
}
else
{
Debug.Assert(Allow0 || Allow1);
if (conf0 && Allow0)
{
// cell 0 is allowed and conformal:
// take this, it won't get better
CellBitMask[jCell0] = true;
Faces[i] = Edg2Fac[iEdge, 0];
Cells[i] = jCell0;
}
else if (conf1 && Allow1)
{
// cell 1 is allowed and conformal:
// take this, it won't get better
CellBitMask[jCell1] = true;
Faces[i] = Edg2Fac[iEdge, 1];
Cells[i] = jCell1;
}
else if (Allow0)
{
// cell 0 is allowed, but NOT conformal
CellBitMask[jCell0] = true;
Faces[i] = -Edg2Fac[iEdge, 0]; // by a negative index, we mark a non-conformal edge
Cells[i] = jCell0;
}
else if (Allow1)
{
// cell 1 is allowed, but NOT conformal
CellBitMask[jCell1] = true;
Faces[i] = -Edg2Fac[iEdge, 1]; // by a negative index, we mark a non-conformal edge
Cells[i] = jCell1;
}
}
}
}
// get cell boundary rule
// ======================
var CellMask = new CellMask(this.grd, CellBitMask);
IChunkRulePair <CellBoundaryQuadRule>[] cellBndRule = this.m_cellBndQF.GetQuadRuleSet(CellMask, order).ToArray();
int[] jCell2PairIdx = new int[J];
for (int i = 0; i < cellBndRule.Length; i++)
{
var chk = cellBndRule[i].Chunk;
for (int jCell = chk.JE - 1; jCell >= chk.i0; jCell--)
{
jCell2PairIdx[jCell] = i + 555;
}
}
int[] iChunk = new int[NoEdg]; // which chunk for which edge?
for (int i = 0; i < NoEdg; i++)
{
if (Cells[i] >= 0)
{
iChunk[i] = jCell2PairIdx[Cells[i]] - 555;
}
else
{
iChunk[i] = int.MinValue;
}
}
// build rule
// ==========
{
for (int i = 0; i < NoEdg; i++) // loop over edges
//if (MaxDomainMask[Cells[i]] == false)
// Debugger.Break();
//if (Cells[i] >= 0) {
{
var CellBndR = cellBndRule[iChunk[i]].Rule;
QuadRule qrEdge = null;
if (Faces[i] >= 0)
{
qrEdge = this.CombineQr(null, CellBndR, Faces[i]);
}
else
{
throw new NotSupportedException("currently no support for non-conformal edges.");
}
qrEdge.Nodes.LockForever();
qrEdge.Weights.LockForever();
Ret[i] = new ChunkRulePair <QuadRule>(Chunk.GetSingleElementChunk(EdgeIndices[i]), qrEdge);
//} else {
// Debug.Assert(Ret[i] != null);
//}
}
}
// return
// ======
#if DEBUG
for (int i = 0; i < Ret.Length; i++)
{
Chunk c = Ret[i].Chunk;
for (int e = c.i0; e < c.JE; e++)
{
Debug.Assert(maskBitMask[e] == true);
}
}
#endif
return(Ret);
/*
*
* var EdgesThatConcernMe = grd.Edges.Edges4RefElement[m_cellBndQF.RefElement.FaceSimplex];
* EdgeMask edgMask = (mask as EdgeMask).Intersect(EdgesThatConcernMe);
*
* var ret = new Dictionary<Chunk, QuadRule>(mask.NoOfItemsLocally);
#if DEBUG
* var EdgesOfInterest = edgMask.GetBitMask();
* var EdgeTouched = (BitArray)EdgesOfInterest.Clone();
*
* edgMask.ToTxtFile("Edges-" + grd.MyRank + ".csv", false);
#endif
*
*
* WeightInbalance = 0.0;
*
* // find all cells that are 'touched' by the edge mask
* // --------------------------------------------------
* int J = grd.Cells.NoOfLocalUpdatedCells;
* BitArray TouchedCells = new BitArray(J, false);
*
* var Edg2Cell = grd.Edges.CellIndices;
*
* int chunkCnt = 0;
* foreach (var chnk in mask) {
* int EE = chnk.JE;
* for (int e = chnk.i0; e < EE; e++) {
* if (!(grd.Edges.IsEdgeConformalwithCell1(e) || grd.Edges.IsEdgeConformalwithCell2(e))) {
* throw new NotSupportedException("For an edge that is not conformal with at least one cell, no edge rule can be created from a cell boundary rule.");
* }
*
* int j1 = Edg2Cell[e, 0], j2 = Edg2Cell[e, 1];
* TouchedCells[j1] = true;
* if (j2 >= 0 && j2 < J)
* TouchedCells[j2] = true;
*
*
* Chunk singleEdgeChunk;
* singleEdgeChunk.i0 = e;
* singleEdgeChunk.Len = 1;
*
* ret.Add(singleEdgeChunk, null);
* }
* chunkCnt++;
* }
*
* CellMask celMask = new CellMask(grd, TouchedCells);
* celMask.ToTxtFile("CellsU-" + grd.MyRank + ".csv", false);
* celMask = celMask.Intersect(m_maxDomain);
* celMask.ToTxtFile("Cells-" + grd.MyRank + ".csv", false);
*
* // create cell boundary rule!
* IEnumerable<IChunkRulePair<CellBoundaryQuadRule>> cellBndRule = m_cellBndQF.GetQuadRuleSet(celMask, order);
*
* //// do MPI communication (get rules for external cells)
* //{
* // int size, rank;
* // csMPI.Raw.Comm_Rank(csMPI.Raw._COMM.WORLD, out rank);
* // csMPI.Raw.Comm_Size(csMPI.Raw._COMM.WORLD, out size);
*
* // if (size > 1)
* // throw new NotSupportedException("currently no MPI support");
* //}
*
* // assign the cell boundary rule to edges
* // --------------------------------------
* var volSplx = m_cellBndQF.RefElement;
* int NoOfFaces = volSplx.NoOfFaces;
* var Cells2Edge = grd.Cells.Cells2Edges;
* var FaceIndices = grd.Edges.FaceIndices;
*
* int cnt = -1;
* foreach (var kv in cellBndRule) { // loop over cell chunks (in the cell boundary rule)...
* Chunk chk = kv.Chunk;
* CellBoundaryQuadRule qr = kv.Rule;
* cnt++;
*
* int JE = chk.JE;
* for (int j = chk.i0; j < JE; j++) { // loop over all cells in chunk...
* Debug.Assert(qr.NumbersOfNodesPerFace.Length == NoOfFaces);
* var Cells2Edge_j = Cells2Edge[j];
*
* for (int _e = Cells2Edge_j.Length - 1; _e >= 0; _e--) { // loop over all edges of cell...
*
* //if (qr.NumbersOfNodesPerEdge[e] <= 0)
* // // no contribution from this edge
* // continue;
*
* bool isInCell = Cells2Edge_j[_e] >= 0;
* int iEdge = Math.Abs(Cells2Edge_j[_e]) - 1;
* int iFace = FaceIndices[iEdge, isInCell ? 0 : 1];
*
* if (isInCell) {
* if (!grd.Edges.IsEdgeConformalwithCell1(iEdge))
* // we already tested that at least one cell is conformal with the edge,
* // so it is safe to drop this face
* continue;
* } else {
* if (!grd.Edges.IsEdgeConformalwithCell2(iEdge))
* // we already tested that at least one cell is conformal with the edge,
* // so it is safe to drop this face
* continue;
* }
*
*
* Chunk singleEdgeChunk = Chunk.GetSingleElementChunk(iEdge);
*
* QuadRule qrEdge;
* if (ret.TryGetValue(singleEdgeChunk, out qrEdge)) {
* // we are interested in this edge!
*
#if DEBUG
* Debug.Assert(EdgesOfInterest[iEdge] == true);
* EdgeTouched[iEdge] = false;
*
* var vtx = this.RefElement.Vertices;
* MultidimensionalArray _vtx = MultidimensionalArray.Create(vtx.GetLength(0), vtx.GetLength(1));
* _vtx.Set(vtx);
*
* var RefCoord = MultidimensionalArray.Create(vtx.GetLength(0), vtx.GetLength(1) + 1);
* var PhysCoord = MultidimensionalArray.Create(1, vtx.GetLength(0), vtx.GetLength(1) + 1);
*
* volSplx.TransformFaceCoordinates(iFace, _vtx, RefCoord);
* grd.TransformLocal2Global(RefCoord, PhysCoord, j, 1, 0);
*
#endif
*
* qrEdge = CombineQr(qrEdge, qr, iFace, j);
*
* Debug.Assert(qrEdge != null);
* ret[singleEdgeChunk] = qrEdge;
* } else {
* // nop: the edge is not in the 'edgMask'!
* continue;
* }
* }
*
* }
* }
*
#if DEBUG
* (new EdgeMask(this.grd, EdgeTouched)).ToTxtFile("failedEdges-" + grd.MyRank + ".csv", false);
*
* for (int i = EdgeTouched.Length - 1; i >= 0; i--)
* Debug.Assert(EdgeTouched[i] == false);
#endif
*
* return ret.Select(p => new ChunkRulePair<QuadRule>(p.Key, p.Value));
*/
}
static List <IChunkRulePair <TQuadRule> > ZipHelper2(List <IChunkRulePair <TQuadRule> > A, List <IChunkRulePair <TQuadRule> > B)
{
// spezialfaelle
// -------------
if (A.Count == 0)
{
return(B);
}
if (B.Count == 0)
{
return(A);
}
List <IChunkRulePair <TQuadRule> > output = new List <IChunkRulePair <TQuadRule> >();
var eA = A.GetEnumerator();
var eB = B.GetEnumerator();
bool runA = eA.MoveNext();
bool runB = eB.MoveNext();
ChunkRulePair <TQuadRule> cA = null;
ChunkRulePair <TQuadRule> cB = null;
if (runA)
{
cA = new ChunkRulePair <TQuadRule>(eA.Current);
}
if (runB)
{
cB = new ChunkRulePair <TQuadRule>(eB.Current);
}
// solong in boade lischtn wos drinnen isch,
// miassn ma se zommentian...
// -----------------------------------------
while (runA && runB)
{
if (cA._Chunk.JE <= cB._Chunk.i0)
{
// Fall 1
output.Add(cA);
runA = eA.MoveNext();
if (runA)
{
cA = new ChunkRulePair <TQuadRule>(eA.Current);
}
continue;
}
if (cB._Chunk.JE <= cA._Chunk.i0)
{
output.Add(cB);
runB = eB.MoveNext();
if (runB)
{
cB = new ChunkRulePair <TQuadRule>(eB.Current);
}
continue;
}
if (cB.Chunk.i0 <= cA.Chunk.i0)
{
// iatz kimmt zersch't amol cB!
output.Add(cB);
if (cB._Chunk.JE < cA._Chunk.JE)
{
// ein stückl von cA bleibt ibrig.
// -> aufkalten firn negscht'n loop
cA._Chunk.Len = cA._Chunk.JE - cB._Chunk.JE;
cA._Chunk.i0 = cB._Chunk.JE;
Debug.Assert(cA.Chunk.Len > 0);
}
else
{
while (runA && (cB._Chunk.JE >= cA._Chunk.JE))
{
// cA ist vollständig von cB überdeckt
// aktuelles cA wegschmeissen, weiter zum negscht'n
runA = eA.MoveNext();
if (runA)
{
cA = new ChunkRulePair <TQuadRule>(eA.Current);
}
}
if (runA && cA._Chunk.i0 <= cB._Chunk.JE)
{
// vo dem cA wo ma jetz ham, bleibt a stückl übrig.
// -> aufkalten fir negscht'n loop
cA._Chunk.Len = cA._Chunk.JE - cB._Chunk.JE;
cA._Chunk.i0 = cB._Chunk.JE;
Debug.Assert(cA.Chunk.Len > 0);
}
}
// weiter zum negscht'n cB
runB = eB.MoveNext();
if (runB)
{
cB = new ChunkRulePair <TQuadRule>(eB.Current);
}
continue;
}
if (cB.Chunk.i0 > cA.Chunk.i0)
{
// vorne isch no a stückl cA!
Debug.Assert(cA._Chunk.JE > cB._Chunk.i0);
Debug.Assert(cB._Chunk.i0 < cA._Chunk.JE);
var cX = new ChunkRulePair <TQuadRule>(cA);
cX._Chunk.Len = cB._Chunk.i0 - cA._Chunk.i0;
Debug.Assert(cX.Chunk.Len > 0);
output.Add(cX);
cA._Chunk.Len = cA._Chunk.JE - cX._Chunk.JE;
Debug.Assert(cA.Chunk.Len > 0); // müsste eigentlich schon durch "Fall 1" (siehe oben) abgefangen werden.
cA._Chunk.i0 = cX._Chunk.JE;
continue;
}
Debug.Assert(false); // wenn mir do her kemmen, nor isch eppes gonz tschelawenget.
}
// izant isch nur mehr in A oder in B wos drinnen,
// oder in koaner vu boaden.
// -----------------------------------------------
while (runB)
{
output.Add(cB);
runB = eB.MoveNext();
if (runB)
{
cB = new ChunkRulePair <TQuadRule>(eB.Current);
}
}
while (runA)
{
output.Add(cA);
runA = eA.MoveNext();
if (runA)
{
cA = new ChunkRulePair <TQuadRule>(eA.Current);
}
}
// return
// ------
return(output);
}