static bool IsCellCut(int iEdge, int[,] E2C, LevelSetTracker.LevelSetRegions regions, SpeciesId mySp)
{
int jCell0 = E2C[iEdge, 0];
int iSpc_cell0 = regions.GetSpeciesIndex(mySp, jCell0);
if (iSpc_cell0 != 0)
{
return(true);
}
int jCell1 = E2C[iEdge, 1];
if (jCell1 >= 0)
{
int iSpc_cell1 = regions.GetSpeciesIndex(mySp, jCell1);
if (iSpc_cell1 != 0)
{
return(true);
}
}
return(false);
}
public MiniMapping(UnsetteledCoordinateMapping Map, SpeciesId spId, LevelSetTracker.LevelSetRegions r)
{
m_Map = Map;
m_spId = spId;
m_LsRegion = r;
Basis[] BS = Map.BasisS.ToArray();
NS = new int[BS.Length];
VarIsXdg = new bool[BS.Length];
NoOfVars = BS.Length;
for (int iVar = 0; iVar < BS.Length; iVar++) {
XDGBasis xBasis = BS[iVar] as XDGBasis;
if (xBasis != null) {
NS[iVar] = xBasis.NonX_Basis.Length;
//m_LsTrk = xBasis.Tracker;
VarIsXdg[iVar] = true;
} else {
NS[iVar] = BS[iVar].Length;
VarIsXdg[iVar] = false;
}
MaxDeg = Math.Max(MaxDeg, BS[iVar].Degree);
}
}
/// <summary>
/// ctor
/// </summary>
/// <param name="lsTrk">level set tracker</param>
/// <param name="spcId">species which should be framed</param>
/// <param name="__FullMap"></param>
/// <param name="SupportExternal">
/// true: support also indices related to external/ghost cells
/// </param>
public FrameBase(LevelSetTracker.LevelSetRegions regions, SpeciesId spcId, UnsetteledCoordinateMapping __FullMap, bool SupportExternal)
{
m_Regions = regions;
m_spcId = spcId;
FrameMap = CreateMap(__FullMap);
FullMap = __FullMap;
m_supportExternal = SupportExternal;
Setup_Frame2Full(); // Frame2Full is almost used every time, so we set it up immediately
// (in contrast, Full2Frame is set up on demand)
}
/// <summary>
/// returns global unique indices which correlate to a certain sub-set of ...
/// <list type="bullet">
/// <item>the mappings's basis (<paramref name="mapping"/>, <see cref="UnsetteledCoordinateMapping.BasisS"/>).</item>
/// <item>species (<paramref name="_SpcIds"/>).</item>
/// <item>cells (<paramref name="cm"/>).</item>
/// </list>
/// </summary>
/// <param name="mapping">
/// the mapping
/// </param>
/// <param name="Fields">
/// determines which fields should be in the sub-vector-indices-list
/// </param>
/// <param name="_SpcIds">
/// determines which species should be in the sub-vector-indices-list; null indicates all species.
/// </param>
/// <param name="cm">
/// determines which cells should be in the sub-vector-indices-list; null indicates all cells.
/// </param>
/// <param name="regions">
/// Determines which XDG-coordinate belongs to which species.
/// </param>
/// <param name="presenceTest">
/// if true, cells where some species has zero measure are excluded from the sub-vector-indices-list.
/// </param>
/// <param name="drk">
/// a cell-agglomeration object: if null, ignored; if provided,
/// cells which are eliminated by the agglomeration are excluded from the sub-vector-indices-list
/// </param>
/// <returns>a list of global (over all MPI processes) unique indices.</returns>
static public int[] GetSubvectorIndices(this UnsetteledCoordinateMapping mapping, LevelSetTracker.LevelSetRegions regions, int[] Fields,
ICollection <SpeciesId> _SpcIds = null, CellMask cm = null, bool presenceTest = true, MultiphaseCellAgglomerator drk = null)
{
#region Check Arguments
// =========
SpeciesId[] SpcIds = null;
if (_SpcIds == null)
{
// take all species, if arg is null
SpcIds = regions.SpeciesIdS.ToArray();
}
else
{
SpcIds = _SpcIds.ToArray();
}
if (SpcIds.Length <= 0)
{
// return will be empty for no species
return(new int[0]);
}
#endregion
#region collect cells which are excluded by agglomeration
// =================================================
int[][] ExcludeLists;
if (drk != null)
{
ExcludeLists = new int[regions.SpeciesIdS.Count][]; // new Dictionary<SpeciesId, int[]>();
foreach (var id in SpcIds)
{
int[] ExcludeList = drk.GetAgglomerator(id).AggInfo.AgglomerationPairs.Select(pair => pair.jCellSource).ToArray();
Array.Sort(ExcludeList);
ExcludeLists[id.cntnt - LevelSetTracker.___SpeciesIDOffest] = ExcludeList;
}
}
else
{
ExcludeLists = null;
}
#endregion
#region determine over which cells we want to loop
// ==========================================
CellMask loopCells;
if ((new HashSet <SpeciesId>(regions.SpeciesIdS)).SetEquals(new HashSet <SpeciesId>(SpcIds)))
{
if (cm == null)
{
loopCells = CellMask.GetFullMask(regions.GridDat);
}
else
{
loopCells = cm;
}
}
else
{
loopCells = regions.GetSpeciesMask(SpcIds[0]);
for (int i = 1; i < SpcIds.Length; i++)
{
loopCells = loopCells.Intersect(regions.GetSpeciesMask(SpcIds[i]));
}
if (cm != null)
{
loopCells = loopCells.Intersect(cm);
}
}
#endregion
#region build list
// ==========
var R = new List <int>();
// which basis is XDG?
var _BasisS = mapping.BasisS.ToArray();
XDGBasis[] _XBasisS = new XDGBasis[_BasisS.Length];
for (int i = 0; i < _BasisS.Length; i++)
{
_XBasisS[i] = _BasisS[i] as XDGBasis;
}
Tuple <int, SpeciesId>[] iSpcS = new Tuple <int, SpeciesId> [SpcIds.Length];
int KK;
int Len_iSpcS = iSpcS.Length;
int[] ExcludeListsPointer = new int[regions.SpeciesIdS.Count];
// loop over cells?
foreach (int jCell in loopCells.ItemEnum)
{
int NoOfSpc = regions.GetNoOfSpecies(jCell);
#region
//
// in cell 'jCell', for each species in 'SpcIds' ...
// * is the species present in 'jCell'?
// * what is the species index in 'jCell'?
// * we also have to consider that due to agglomeration, the respective cut-cell for the species might have been agglomerated.
// so we determine
// * 'KK' is the number of species (from 'SpcIds') which is actually present and not agglomerated in 'jCell'
// * for i in (0 ... KK-1), iSpcS[i] is a tuple of (Species-index-in-cell, SpeciesID)
//
// yes, the following code sucks:
KK = 0;
for (int k = 0; k < Len_iSpcS; k++) // loop over all species (provided as argument)...
{
SpeciesId id = SpcIds[k];
int __iSpcS = regions.GetSpeciesIndex(id, jCell);
if (__iSpcS >= 0)
{
// species index is non-negative, so indices for the species are allocated ...
if (!presenceTest || regions.IsSpeciesPresentInCell(id, jCell))
{
// species is also present (i.e. has a greater-than-zero measure ...
if (drk == null)
{
// no agglomeration exclution
iSpcS[KK] = new Tuple <int, SpeciesId>(__iSpcS, id);
KK++;
}
else
{
int q = id.cntnt - LevelSetTracker.___SpeciesIDOffest;
var el = ExcludeLists[q];
while (ExcludeListsPointer[q] < el.Length &&
el[ExcludeListsPointer[q]] < jCell)
{
ExcludeListsPointer[q]++;
}
Debug.Assert(ExcludeListsPointer[q] >= el.Length || el[ExcludeListsPointer[q]] >= jCell);
if (ExcludeListsPointer[q] >= el.Length || el[ExcludeListsPointer[q]] != jCell)
{
// cell is also not agglomerated ...
iSpcS[KK] = new Tuple <int, SpeciesId>(__iSpcS, id);
KK++;
}
}
}
}
}
if (KK > 1)
{
Array.Sort <Tuple <int, SpeciesId> >(iSpcS, 0, KK, new ilPSP.FuncComparer <Tuple <int, SpeciesId> >((a, b) => a.Item1 - b.Item1));
}
// --------- esc (end of sucking code)
#endregion
for (int k = 0; k < KK; k++) // loop over species in cell
{
int iSpc = iSpcS[k].Item1;
for (int i = 0; i < Fields.Length; i++)
{
int iField = Fields[i];
if (_XBasisS[iField] == null)
{
int N = _BasisS[iField].GetLength(jCell);
int i0 = mapping.LocalUniqueCoordinateIndex(iField, jCell, 0);
for (int n = 0; n < N; n++)
{
R.Add(i0 + n);
}
}
else
{
int N = _XBasisS[iField].DOFperSpeciesPerCell;
int i0 = mapping.LocalUniqueCoordinateIndex(iField, jCell, 0) + iSpc * N;
for (int n = 0; n < N; n++)
{
R.Add(i0 + n);
}
}
}
}
}
#endregion
return(R.ToArray());
}
/// <summary>
/// computes the mass matrices for a given mapping and accumulates the mass matrix to some other matrix.
/// </summary>
public void AccMassMatrix <T>(T M, UnsetteledCoordinateMapping mapping, IDictionary <SpeciesId, IEnumerable <double> > _alpha, bool inverse = false)
where T : IMutableMatrixEx //
{
using (new FuncTrace()) {
var _basisS = mapping.BasisS.ToArray();
var ctx = _basisS[0].GridDat;
int J = ctx.iLogicalCells.NoOfLocalUpdatedCells;
if (!M.RowPartitioning.EqualsPartition(mapping))
{
throw new ArgumentException("Mismatch in row mapping.");
}
if (!M.ColPartition.EqualsPartition(mapping))
{
throw new ArgumentException("Mismatch in column mapping.");
}
if (!_alpha.Keys.IsSubsetOf(this.AvailableSpecies))
{
throw new ArgumentException("trying to obtain mass matrix for species that is not supported by this factory.");
}
foreach (var __alpha in _alpha.Values)
{
if (__alpha.Count() != _basisS.Length)
{
throw new ArgumentException("Number of alpha's must match number of variables/fields in mapping.");
}
}
LevelSetTracker.LevelSetRegions regions = null;// XDGSpaceMetrics.LevelSetRegions;
// compute the Mass-Blocks for the cut cells...
// --------------------------------------------
int _MaxDeg = _basisS.Max(b => b.Degree);
var RequestedSpecies = _alpha.Keys;
UpdateBlocks(_MaxDeg, RequestedSpecies);
Dictionary <SpeciesId, MassMatrixBlockContainer>[] invBlocks = null;
if (inverse)
{
invBlocks = GetInverseMassMatrixBlocks(RequestedSpecies, mapping.BasisS.Select(b => b.Degree).ToArray());
//VariableAgglomerationSwitch = new bool[VariableAgglomerationSwitch.Length];
//VariableAgglomerationSwitch.SetAll(true); // we already took care about this in the 'GetInverseMassMatrixBlocks'
}
// set the matrix
// --------------
for (int fld = 0; fld < _basisS.Length; fld++) // loop over Variables in mapping...
// loop over species...
{
foreach (var species in _alpha.Keys)
{
double alpha = _alpha[species].ElementAt(fld);
int[] jSub2jCell = this.MassBlocks[species].jSub2jCell;
if (alpha != 0.0)
{
// properties of the basis
XDGBasis Xbasis = _basisS[fld] as XDGBasis;
Basis nonXbasis;
Basis basis = _basisS[fld];
if (Xbasis != null)
{
nonXbasis = Xbasis.NonX_Basis;
regions = Xbasis.Tracker.Regions; // compute species indices with respect to **actual** regions !!!!
//if (!object.ReferenceEquals(Xbasis.Tracker, this.XDGSpaceMetrics.))
// throw new ArgumentException();
}
else
{
nonXbasis = _basisS[fld];
}
int N = nonXbasis.Length;
// get Mass-Matrix subblock
MultidimensionalArray Mass;
if (!inverse)
{
Mass = this.MassBlocks[species].MassMatrixBlocks;
}
else
{
Mass = invBlocks[fld][species].MassMatrixBlocks;
Debug.Assert(Mass.GetLength(1) == N);
Debug.Assert(Mass.GetLength(2) == N);
}
// set diagonal element 1.0 in all cells of the subgrid
// (later, we subtract 1.0 from the diagonal in cut cells)
var speciesMask = XDGSpaceMetrics.LevelSetRegions.GetSpeciesMask(species);
{
foreach (int jCell in speciesMask.ItemEnum)
{
int iSpc = 0;
if (Xbasis != null)
{
int NoOfSpc = regions.GetNoOfSpecies(jCell);
iSpc = regions.GetSpeciesIndex(species, jCell);
}
int n0 = mapping.GlobalUniqueCoordinateIndex(fld, jCell, N * iSpc);
for (int n = 0; n < N; n++)
{
M[n0 + n, n0 + n] += alpha;
}
}
}
// now, set then Non-Identity blocks in the cut cells
var speciesBitMask = speciesMask.GetBitMask();
{
int JSUB = jSub2jCell.Length;
for (int jsub = 0; jsub < JSUB; jsub++) // loop over cut cells
{
int jCell = jSub2jCell[jsub];
if (!speciesBitMask[jCell])
{
continue;
}
int iSpc = 0;
if (Xbasis != null)
{
int NoOfSpc = regions.GetNoOfSpecies(jCell);
iSpc = regions.GetSpeciesIndex(species, jCell);
}
var MassSub = Mass.ExtractSubArrayShallow(new int[] { jsub, 0, 0 }, new int[] { jsub - 1, N - 1, N - 1 });
int i0 = mapping.GlobalUniqueCoordinateIndex(fld, jCell, N * iSpc);
for (int n = 0; n < N; n++) // loop over rows (within block)
{
for (int m = 0; m < N; m++) // loop over columns (within block)
{
M[i0 + n, i0 + m] += alpha * MassSub[n, m] - (m == n ? alpha : 0.0);
}
}
}
}
}
}
}
}
}