private void AssembleMatrix(double dt, out BlockMsrMatrix SystemMatrix, out double[] SystemAffine)
{
// Init Matrix and Affine Part
SystemMatrix = new BlockMsrMatrix(Mapping);
SystemAffine = new double[Mapping.LocalLength];
// choose TimeStepping-Scheme, based on what has been pushed to the stack,yet
int Smax = TSCchain[0].S;
Debug.Assert(Smax == TSCchain.Length);
Tsc = TSCchain[Smax - PopulatedStackDepth];
UpdateOperatorMatrix();
//Implicit Part of RHS
SystemMatrix.Acc(Tsc.theta1, Stack_OpMatrix[1]);
SystemAffine.AccV(Tsc.theta1, Stack_OpAffine[1]);
//Implicit Part of LHS
SystemMatrix.AccEyeSp(1 / dt);
// Explicit part of RHS
Stack_OpMatrix[0].SpMV(-Tsc.theta0, CurrentState, 1.0, SystemAffine);
SystemAffine.AccV(-Tsc.theta0, Stack_OpAffine[0]);
//Explicit parts of LHS
for (int i = 0; i < Tsc.beta.Length; i++)
{
SystemAffine.AccV(Tsc.beta[i] * 1 / dt, Stack_u[i]);
}
Debug.Assert(SystemMatrix.InfNorm() > 0);
Debug.Assert(SystemAffine.L2Norm() > 0);
if (subGrid != null)
{
int[] SubVecIdx = Mapping.GetSubvectorIndices(subGrid, true, new int[] { 0 });
int L = SubVecIdx.Length;
for (int i = 0; i < L; i++)
{
SystemMatrix.ClearRow(SubVecIdx[i]);
SystemMatrix[SubVecIdx[i], SubVecIdx[i]] = 1;
SystemAffine[SubVecIdx[i]] = 0;
}
}
}
public static void SubSelection(
[Values(SelectionType.all_combined, SelectionType.degrees, SelectionType.species, SelectionType.variables)] SelectionType SType
)
{
Utils.TestInit((int)SType);
Console.WriteLine("SubSelection({0})", SType);
//Arrange --- extracts entries of matrix according to hardcoded selection
int DGdegree = 2;
int GridResolution = 4;
var mgo = Utils.CreateTestMGOperator(XDGusage.all, DGdegree, MatrixShape.full_var_spec, GridResolution);
int sampleCellA = Utils.GetIdxOfFirstBlockWith(mgo.Mapping, false); //1 species
int sampleCellB = Utils.GetIdxOfFirstBlockWith(mgo.Mapping, true); //2 species
BlockMsrMatrix compA = Utils.GetCellCompMatrix(SType, mgo, sampleCellA);
BlockMsrMatrix compB = Utils.GetCellCompMatrix(SType, mgo, sampleCellB);
//Arrange --- setup masking, which correspond to hardcoded
SubBlockSelector sbsA = new SubBlockSelector(mgo.Mapping);
sbsA.GetDefaultSelection(SType, sampleCellA); // single spec
BlockMask maskA = new BlockMask(sbsA, null);
SubBlockSelector sbsB = new SubBlockSelector(mgo.Mapping);
sbsB.GetDefaultSelection(SType, sampleCellB); // double spec
BlockMask maskB = new BlockMask(sbsB, null);
//Arrange --- stop the watch
Stopwatch stw = new Stopwatch();
stw.Reset();
//Act --- get subblocks
stw.Start();
BlockMsrMatrix subA = maskA.GetSubBlockMatrix(mgo.OperatorMatrix);
BlockMsrMatrix subB = maskB.GetSubBlockMatrix(mgo.OperatorMatrix);
stw.Stop();
//Assert --- compare masking of single spec cell
Debug.Assert(compA.InfNorm() != 0.0);
subA.Acc(-1.0, compA);
Assert.IsTrue(subA.InfNorm() == 0.0);
//Assert --- compare masking of double spec cell
Debug.Assert(compB.InfNorm() != 0.0);
subB.Acc(-1.0, compB);
Assert.IsTrue(subB.InfNorm() == 0.0);
}
/// <summary>
/// Matrix/Affine assembly in the case of an implicit RK stage.
/// </summary>
protected override void AssembleMatrixCallback(out BlockMsrMatrix System, out double[] Affine, out BlockMsrMatrix PcMassMatrix, DGField[] argCurSt, bool Linearization)
{
if (Linearization == false)
{
throw new NotImplementedException("todo");
}
int Ndof = m_CurrentState.Count;
// copy data from 'argCurSt' to 'CurrentStateMapping', if necessary
// -----------------------------------------------------------
DGField[] locCurSt = CurrentStateMapping.Fields.ToArray();
if (locCurSt.Length != argCurSt.Length)
{
throw new ApplicationException();
}
int NF = locCurSt.Length;
for (int iF = 0; iF < NF; iF++)
{
if (object.ReferenceEquals(locCurSt[iF], argCurSt[iF]))
{
// nothing to do
}
else
{
locCurSt[iF].Clear();
locCurSt[iF].Acc(1.0, argCurSt[iF]);
}
}
// update of level-set
// ----------------------
bool updateAgglom = false;
if (this.Config_LevelSetHandling == LevelSetHandling.Coupled_Once && m_ImplStParams.m_IterationCounter == 0 ||
this.Config_LevelSetHandling == LevelSetHandling.Coupled_Iterative)
{
//MoveLevelSetAndRelatedStuff(locCurSt, m_CurrentPhystime, m_CurrentDt, 1.0);
if (Math.Abs(m_ImplStParams.m_ActualLevSetRelTime - m_ImplStParams.m_RelTime) > 1.0e-14)
{
if (m_ImplStParams.m_IterationCounter <= 0)// only push tracker in the first iter
{
m_LsTrk.PushStacks();
}
MoveLevelSetAndRelatedStuff(locCurSt,
m_ImplStParams.m_CurrentPhystime, m_ImplStParams.m_CurrentDt * m_ImplStParams.m_RelTime, IterUnderrelax,
m_ImplStParams.m_Mass, m_ImplStParams.m_k);
// note that we need to update the agglomeration
updateAgglom = true;
}
}
// update agglomeration
// --------------------
#if DEBUG
if (this.Config_LevelSetHandling == LevelSetHandling.LieSplitting || this.Config_LevelSetHandling == LevelSetHandling.StrangSplitting)
{
Debug.Assert(m_CurrentAgglomeration != null);
Debug.Assert(m_PrecondMassMatrix != null);
// ensure, that, when splitting is used we update the agglomerator in the very first iteration.
}
#endif
if (updateAgglom || m_CurrentAgglomeration == null)
{
this.UpdateAgglom(m_ImplStParams.m_IterationCounter > 0);
// update Multigrid-XDG basis
base.MultigridBasis.UpdateXdgAggregationBasis(m_CurrentAgglomeration);
}
// mass matrix update
// ------------------
if (this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsIdentity)
{
// may occur e.g. if one runs the FSI solver as a pure single-phase solver,
// i.e. if the Level-Set is outside the domain.
PcMassMatrix = null;
}
else
{
// checks:
Debug.Assert(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity ||
this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeDependent ||
this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeAndSolutionDependent,
"Something is not implemented here.");
if (this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity &&
Config_LevelSetHandling != LevelSetHandling.None)
{
throw new NotSupportedException("Illegal configuration;");
}
if (this.Config_LevelSetHandling == LevelSetHandling.Coupled_Once || this.Config_LevelSetHandling == LevelSetHandling.Coupled_Iterative)
{
if ((this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity && m_PrecondMassMatrix == null) || // compute mass matrix (only once in application lifetime)
(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeDependent && m_ImplStParams.m_IterationCounter == 0) || // compute mass matrix once per timestep
(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeAndSolutionDependent) // re-compute mass matrix in every iteration
)
{
BlockMsrMatrix PM, SM;
UpdateMassMatrix(out PM, out SM, m_ImplStParams.m_CurrentPhystime + m_ImplStParams.m_CurrentDt * m_ImplStParams.m_RelTime);
m_ImplStParams.m_Mass[1] = SM;
m_PrecondMassMatrix = PM;
}
}
PcMassMatrix = m_PrecondMassMatrix;
}
// operator matrix update
// ----------------------
// we perform the extrapolation to have valid parameters if
// - the operator matrix depends on these values
this.m_CurrentAgglomeration.Extrapolate(CurrentStateMapping);
var OpMatrix = new BlockMsrMatrix(CurrentStateMapping);
var OpAffine = new double[Ndof];
this.ComputeOperatorMatrix(OpMatrix, OpAffine, CurrentStateMapping, locCurSt, base.GetAgglomeratedLengthScales(), m_ImplStParams.m_CurrentPhystime + m_ImplStParams.m_CurrentDt * m_ImplStParams.m_RelTime);
// assemble system
// ---------------
double dt = m_ImplStParams.m_CurrentDt;
// select mass matrix (and some checks)
double[] RHS = new double[Ndof];
BlockMsrMatrix MamaRHS, MamaLHS;
if (this.Config_LevelSetHandling == LevelSetHandling.Coupled_Once ||
this.Config_LevelSetHandling == LevelSetHandling.Coupled_Iterative)
{
Debug.Assert(m_ImplStParams.m_Mass.Length == 2);
MamaRHS = m_ImplStParams.m_Mass[0];
MamaLHS = m_ImplStParams.m_Mass[1];
}
else if (this.Config_LevelSetHandling == LevelSetHandling.LieSplitting ||
this.Config_LevelSetHandling == LevelSetHandling.StrangSplitting ||
this.Config_LevelSetHandling == LevelSetHandling.None)
{
Debug.Assert(m_ImplStParams.m_Mass.Length == 1);
MamaRHS = m_ImplStParams.m_Mass[0];
MamaLHS = m_ImplStParams.m_Mass[0];
}
else
{
throw new NotImplementedException();
}
// right-hand-side, resp. affine vector
if (MamaRHS != null)
{
MamaRHS.SpMV(1.0 / dt, m_ImplStParams.m_u0, 0.0, RHS);
}
else
{
Debug.Assert(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsIdentity);
RHS.SetV(m_ImplStParams.m_u0, 1.0 / dt);
}
for (int l = 0; l < m_ImplStParams.m_s; l++)
{
if (m_ImplStParams.m_RK_as[l] != 0.0)
{
RHS.AccV(-m_ImplStParams.m_RK_as[l], m_ImplStParams.m_k[l]);
}
}
Affine = RHS;
Affine.ScaleV(-1.0);
Affine.AccV(m_ImplStParams.m_RK_as[m_ImplStParams.m_s], OpAffine);
// left-hand-side
System = OpMatrix.CloneAs();
System.Scale(m_ImplStParams.m_RK_as[m_ImplStParams.m_s]);
if (MamaLHS != null)
{
System.Acc(1.0 / dt, MamaLHS);
}
else
{
System.AccEyeSp(1.0 / dt);
}
// perform agglomeration
// ---------------------
Debug.Assert(object.ReferenceEquals(m_CurrentAgglomeration.Tracker, m_LsTrk));
m_CurrentAgglomeration.ManipulateMatrixAndRHS(System, Affine, CurrentStateMapping, CurrentStateMapping);
// increase iteration counter
// --------------------------
m_ImplStParams.m_IterationCounter++;
}
public void Init(MultigridOperator op)
{
using (new FuncTrace()) {
if (m_MgOp != null)
{
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
// someone is trying to re-use this solver: see if the settings permit that
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
if (op.LevelIndex != m_MgOp.LevelIndex)
{
throw new ArgumentException("Re-use on different level not possible.");
}
if (!this.MtxFull._RowPartitioning.EqualsPartition(op.OperatorMatrix._RowPartitioning))
{
throw new ArgumentException("Matrix has changed, unable to re-use");
}
if (!this.MtxFull._ColPartitioning.EqualsPartition(op.OperatorMatrix._ColPartitioning))
{
throw new ArgumentException("Matrix has changed, unable to re-use");
}
#if DEBUG
if (!object.ReferenceEquals(this.MtxFull, op.OperatorMatrix))
{
BlockMsrMatrix Check = this.MtxFull.CloneAs();
Check.Acc(-1.0, op.OperatorMatrix);
if (Check.InfNorm() != 0.0)
{
throw new ArgumentException("Matrix has changed, unable to re-use");
}
}
#endif
if (this.m_BlockingStrategy.GetNoOfBlocks(op) != this.blockSolvers.Count())
{
throw new ArgumentException("Blocking, unable to re-use");
}
return;
}
var Mop = op.OperatorMatrix;
var MgMap = op.Mapping;
this.m_MgOp = op;
int myMpiRank = MgMap.MpiRank;
int myMpisize = MgMap.MpiSize;
if (!Mop.RowPartitioning.EqualsPartition(MgMap.Partitioning))
{
throw new ArgumentException("Row partitioning mismatch.");
}
if (!Mop.ColPartition.EqualsPartition(MgMap.Partitioning))
{
throw new ArgumentException("Column partitioning mismatch.");
}
var ag = MgMap.AggGrid;
int JComp = ag.iLogicalCells.NoOfLocalUpdatedCells;
int JGhost = ag.iLogicalCells.NoOfExternalCells;
#if DEBUG
ilPSP.Connectors.Matlab.BatchmodeConnector matlab;
if (m_MatlabParalellizationCheck)
{
matlab = new ilPSP.Connectors.Matlab.BatchmodeConnector();
}
else
{
matlab = null;
}
#endif
//Mop.Clear();
//for(int i = Mop.RowPartitioning.i0; i < Mop.RowPartitioning.iE; i++) {
// Mop[i, i] = i + 1;
//}
// get cell blocks
// ===============
var _Blocks = this.m_BlockingStrategy.GetBlocking(op);
int NoOfSchwzBlocks = _Blocks.Count();
// test cell blocks
// ================
#if DEBUG
{
// ensure that each cell is used exactly once, among all blocks
bool[] test = new bool[ag.iLogicalCells.NoOfLocalUpdatedCells];
foreach (var bi in _Blocks)
{
foreach (int j in bi)
{
Debug.Assert(test[j] == false);
test[j] = true;
}
;
}
for (int i = 0; i < test.Length; i++)
{
Debug.Assert(test[i] == true);
}
}
#endif
// extend blocks according to desired overlap
// ==========================================
{
BitArray marker = new BitArray(JComp + JGhost);
if (Overlap < 0)
{
throw new ArgumentException();
}
if (Overlap > 0)
{
if (Overlap > 1 && Mop.RowPartitioning.MpiSize > 1)
{
throw new NotSupportedException("In MPI parallel runs, the maximum supported overlap for the Schwarz preconditioner is 1.");
}
foreach (List <int> bi in _Blocks) // loop over blocks...
{
marker.SetAll(false); // marks all cells which are members of the block
foreach (int jcomp in bi)
{
marker[jcomp] = true;
}
// determine overlap regions
for (int k = 0; k < Overlap; k++)
{
int Jblock = bi.Count;
for (int j = 0; j < Jblock; j++)
{
int jCell = bi[j];
int[] Neighs = ag.iLogicalCells.CellNeighbours[jCell];
foreach (int jNeigh in Neighs)
{
if (marker[jNeigh] == false)
{
// neighbor cell is not already a member of the block
// => add it.
bi.Add(jNeigh);
marker[jNeigh] = true;
}
}
}
}
bi.Sort();
}
}
BlockCells = _Blocks.Select(list => list.ToArray()).ToArray();
}
// convert cell blocks to DOF blocks
// =================================
List <int>[] BlkIdx_gI_lR; // for each Schwarz block, (global) indices in the local range
List <int>[] BlkIdx_gI_eR; // for each Schwarz block, (global) indices of external rows and columns
List <int>[] TempRowIdx_gI; // for each Schwarz block, (global) indices into the temporary matrix
List <int>[] BlkIdx_lI_eR; // for each Schwarz block, (local) indices of external rows and columns
List <int>[] LocalBlocks_i0, LocalBlocks_N; // blocking of the Schwarz-Blocks.
// for matrix 'ExternalRowsTemp': which rows of 'Mop' are required locally
List <int> ExternalRowsIndices, ExternalRows_BlockI0, ExternalRows_BlockN;
{
int Jup = MgMap.AggGrid.iLogicalCells.NoOfLocalUpdatedCells;
int Jgh = MgMap.AggGrid.iLogicalCells.NoOfExternalCells;
int LocalizedBlockCounter = 0;
BlkIdx_gI_lR = NoOfSchwzBlocks.ForLoop(iPart => new List <int>(BlockCells[iPart].Length * MgMap.MaximalLength));
BlkIdx_gI_eR = NoOfSchwzBlocks.ForLoop(iPart => new List <int>());
LocalBlocks_i0 = NoOfSchwzBlocks.ForLoop(iPart => new List <int>());
LocalBlocks_N = NoOfSchwzBlocks.ForLoop(iPart => new List <int>());
TempRowIdx_gI = NoOfSchwzBlocks.ForLoop(iPart => new List <int>());
BlkIdx_lI_eR = NoOfSchwzBlocks.ForLoop(iPart => new List <int>());
ExternalRowsIndices = new List <int>();
ExternalRows_BlockI0 = new List <int>();
ExternalRows_BlockN = new List <int>();
for (int iPart = 0; iPart < NoOfSchwzBlocks; iPart++) // loop over parts...
{
int[] bc = BlockCells[iPart];
var biI = BlkIdx_gI_lR[iPart];
var biE = BlkIdx_gI_eR[iPart];
var l1 = TempRowIdx_gI[iPart];
var l2 = BlkIdx_lI_eR[iPart];
var LBBi0 = LocalBlocks_i0[iPart];
var LBBN = LocalBlocks_N[iPart];
int Jblock = bc.Length;
int anotherCounter = 0;
for (int jblk = 0; jblk < Jblock; jblk++) // loop over cells in blocks...
{
int j = bc[jblk];
int N = MgMap.GetLength(j);
if (j < Jup)
{
// locally updated cell
int i0 = MgMap.GlobalUniqueIndex(0, j, 0);
for (int n = 0; n < N; n++)
{
biI.Add(i0 + n);
}
}
else
{
// external cell
int i0E = MgMap.GlobalUniqueIndex(0, j, 0); //
int i0L = MgMap.LocalUniqueIndex(0, j, 0); //
ExternalRows_BlockI0.Add(LocalizedBlockCounter);
ExternalRows_BlockN.Add(N);
//LEBi0.Add(LocalizedBlockCounter);
//LEBn.Add(N);
for (int n = 0; n < N; n++)
{
biE.Add(i0E + n);
ExternalRowsIndices.Add(i0E + n);
l1.Add(LocalizedBlockCounter + n);
l2.Add(i0L + n);
Debug.Assert(Mop._RowPartitioning.FindProcess(i0E + n) != myMpiRank);
}
LocalizedBlockCounter += N;
}
LBBi0.Add(anotherCounter);
LBBN.Add(N);
anotherCounter += N;
}
}
//this.BlockIndices = _LocallyStoredBlockIndices.Select(bi => bi.ToArray()).ToArray();
}
// get rows for blocks that use external cells
// ===========================================
#if DEBUG
{
if (Overlap == 0)
{
Debug.Assert(ExternalRowsIndices.Count == 0);
Debug.Assert(ExternalRows_BlockI0.Count == 0);
Debug.Assert(ExternalRows_BlockN.Count == 0);
}
foreach (var bi in BlkIdx_gI_lR)
{
foreach (int idx in bi)
{
Debug.Assert(idx >= m_MgOp.Mapping.i0);
Debug.Assert(idx < m_MgOp.Mapping.iE);
}
}
foreach (var ei in BlkIdx_gI_eR)
{
foreach (int idx in ei)
{
Debug.Assert(idx < m_MgOp.Mapping.i0 || idx >= m_MgOp.Mapping.iE);
}
}
int LL = m_MgOp.Mapping.LocalLength;
int jMax = m_MgOp.Mapping.AggGrid.iLogicalCells.NoOfCells - 1;
int LE = m_MgOp.Mapping.LocalUniqueIndex(0, jMax, 0) + m_MgOp.Mapping.GetLength(jMax);
foreach (var ci in BlkIdx_lI_eR)
{
foreach (int idx in ci)
{
Debug.Assert(idx >= LL);
Debug.Assert(idx < LE);
}
}
if (m_MatlabParalellizationCheck)
{
int globalBlockCounter = 0;
for (int rankCounter = 0; rankCounter < myMpisize; rankCounter++)
{
int rank_NoBlks = NoOfSchwzBlocks.MPIBroadcast(rankCounter);
if (rankCounter == myMpiRank)
{
Debug.Assert(rank_NoBlks == NoOfSchwzBlocks);
}
for (int iBlock = 0; iBlock < rank_NoBlks; iBlock++)
{
double[] vec;
if (rankCounter == myMpiRank)
{
vec = ArrayTools.Cat(BlkIdx_gI_lR[iBlock], BlkIdx_gI_eR[iBlock]).Select(ii => ((double)(ii + 1))).ToArray();
}
else
{
vec = new double[0];
}
matlab.PutVector(vec, string.Format("BlockIdx{0}", globalBlockCounter));
globalBlockCounter++;
csMPI.Raw.Barrier(csMPI.Raw._COMM.WORLD);
}
}
}
}
#endif
BlockMsrMatrix ExternalRowsTemp;
if (myMpisize > 1 && Overlap > 0)
{
//int NoOfLocalRows = _ExternalBlockIndices.Sum(L => L.Count);
BlockPartitioning PermRow = new BlockPartitioning(ExternalRowsIndices.Count, ExternalRows_BlockI0, ExternalRows_BlockN, Mop.MPI_Comm, i0isLocal: true);
// Remark: we use a permutation matrix for MPI-exchange of rows
BlockMsrMatrix Perm = new BlockMsrMatrix(PermRow, Mop._RowPartitioning);
for (int iRow = 0; iRow < ExternalRowsIndices.Count; iRow++)
{
Debug.Assert(Mop._RowPartitioning.IsInLocalRange(ExternalRowsIndices[iRow]) == false);
Perm[iRow + PermRow.i0, ExternalRowsIndices[iRow]] = 1;
}
ExternalRowsTemp = BlockMsrMatrix.Multiply(Perm, Mop);
#if DEBUG
if (m_MatlabParalellizationCheck)
{
matlab.PutSparseMatrix(Perm, "Perm");
matlab.PutSparseMatrix(ExternalRowsTemp, "ExternalRowsTemp");
}
#endif
}
else
{
ExternalRowsTemp = null;
}
ExternalRowsIndices = null;
ExternalRows_BlockI0 = null;
ExternalRows_BlockN = null;
// create solvers
// ==============
{
blockSolvers = new ISparseSolver[NoOfSchwzBlocks];
#if DEBUG
List <BlockMsrMatrix> Blocks = new List <BlockMsrMatrix>();
#endif
for (int iPart = 0; iPart < NoOfSchwzBlocks; iPart++)
{
var bi = BlkIdx_gI_lR[iPart];
int Bsz;
if (MgMap.MinimalLength == MgMap.MaximalLength)
{
Bsz = MgMap.MaximalLength;
}
else
{
Bsz = 1;
}
var l1 = TempRowIdx_gI[iPart];
//if (M.RowPartitioning.MpiSize > 1) {
// int i0Proc = M.RowPartitioning.i0;
// bi = bi.CloneAs();
// for (int i = 0; i < bi.Length; i++) {
// bi[i] += i0Proc;
// }
//}
BlockPartitioning localBlocking = new BlockPartitioning(bi.Count + l1.Count, LocalBlocks_i0[iPart], LocalBlocks_N[iPart], csMPI.Raw._COMM.SELF);
if (l1.Count > 0)
{
// convert the indices into 'ExternalRowsTemp' to global indices
int l1L = l1.Count;
int offset = ExternalRowsTemp._RowPartitioning.i0;
for (int i = 0; i < l1L; i++)
{
l1[i] += offset;
}
}
BlockMsrMatrix Block = new BlockMsrMatrix(localBlocking, localBlocking);// bi.Length, bi.Length, Bsz, Bsz);
Mop.WriteSubMatrixTo(Block, bi, default(int[]), bi, default(int[]));
if (l1.Count > 0)
{
int offset = bi.Count;
int[] targRows = l1.Count.ForLoop(i => i + offset);
var biE = BlkIdx_gI_eR[iPart];
int[] extTargCols = biE.Count.ForLoop(i => i + offset);
Mop.AccSubMatrixTo(1.0, Block, bi, default(int[]), new int[0], default(int[]), biE, extTargCols);
ExternalRowsTemp.AccSubMatrixTo(1.0, Block, l1, targRows, bi, default(int[]), biE, extTargCols);
}
#if DEBUG
if (m_MatlabParalellizationCheck)
{
Blocks.Add(Block);
}
#endif
blockSolvers[iPart] = new PARDISOSolver()
{
CacheFactorization = true,
UseDoublePrecision = false
};
//blockSolvers[iPart] = new FullDirectSolver();
//blockSolvers[iPart] = new ilPSP.LinSolvers.MUMPS.MUMPSSolver();
blockSolvers[iPart].DefineMatrix(Block);
}
#if DEBUG
if (m_MatlabParalellizationCheck)
{
int globalBlockCounter = 0;
for (int rankCounter = 0; rankCounter < myMpisize; rankCounter++)
{
int rank_NoBlks = NoOfSchwzBlocks.MPIBroadcast(rankCounter);
for (int iBlock = 0; iBlock < rank_NoBlks; iBlock++)
{
BlockMsrMatrix Block;
if (rankCounter == myMpiRank)
{
Block = Blocks[iBlock];
}
else
{
Block = null;
}
matlab.PutSparseMatrix(Block, string.Format("Block{0}", globalBlockCounter));
globalBlockCounter++;
csMPI.Raw.Barrier(csMPI.Raw._COMM.WORLD);
}
}
}
#endif
}
// Record required indices
// =======================
{
this.BlockIndices_Local = new int[NoOfSchwzBlocks][];
this.BlockIndices_External = new int[NoOfSchwzBlocks][];
int LocalI0 = MgMap.i0;
int LocalLength = MgMap.LocalLength;
for (int iBlock = 0; iBlock < NoOfSchwzBlocks; iBlock++)
{
var _bi = BlkIdx_gI_lR[iBlock];
int L = _bi.Count;
int[] bil = new int[L];
this.BlockIndices_Local[iBlock] = bil;
for (int l = 0; l < L; l++)
{
bil[l] = _bi[l] - LocalI0;
Debug.Assert(bil[l] >= 0);
Debug.Assert(bil[l] < MgMap.LocalLength);
}
var _biE = BlkIdx_lI_eR[iBlock];
if (_biE.Count > 0)
{
this.BlockIndices_External[iBlock] = _biE.ToArray();
}
}
}
this.MtxFull = Mop;
if (CoarseSolver != null)
{
CoarseSolver.Init(op.CoarserLevel);
}
// Debug & Test-Code
// =================
#if DEBUG
if (m_MatlabParalellizationCheck)
{
Console.WriteLine("Matlab dir: " + matlab.WorkingDirectory);
matlab.PutSparseMatrix(Mop, "Full");
int GlobalNoOfBlocks = NoOfSchwzBlocks.MPISum();
for (int iGlbBlock = 0; iGlbBlock < GlobalNoOfBlocks; iGlbBlock++)
{
matlab.Cmd("BlockErr({0} + 1, 1) = norm( Block{0} - Full( BlockIdx{0}, BlockIdx{0} ), inf );", iGlbBlock);
}
Random rnd = new Random(myMpiRank);
double[] testRHS = new double[MgMap.LocalLength];
for (int i = 0; i < testRHS.Length; i++)
{
testRHS[i] = rnd.NextDouble();
}
matlab.PutVector(testRHS, "testRHS");
MPIexchange <double[]> ResExchange = new MPIexchange <double[]>(MgMap, testRHS);
ResExchange.TransceiveStartImReturn();
ResExchange.TransceiveFinish(0.0);
int offset = MgMap.LocalLength;
int g = 0;
for (int rankCounter = 0; rankCounter < myMpisize; rankCounter++)
{
int rank_NoBlks = NoOfSchwzBlocks.MPIBroadcast(rankCounter);
for (int iBlock = 0; iBlock < rank_NoBlks; iBlock++)
{
double[] SubVec;
if (rankCounter == myMpiRank)
{
int LL = this.BlockIndices_Local[iBlock].Length;
int LE;
if (this.BlockIndices_External[iBlock] != null)
{
LE = this.BlockIndices_External[iBlock].Length;
}
else
{
LE = 0;
}
int L = LL + LE;
SubVec = new double[L];
for (int i = 0; i < LL; i++)
{
SubVec[i] = testRHS[this.BlockIndices_Local[iBlock][i]];
}
if (LE > 0)
{
for (int i = 0; i < LE; i++)
{
SubVec[i + LL] = ResExchange.Vector_Ext[this.BlockIndices_External[iBlock][i] - offset];
}
}
}
else
{
SubVec = new double[0];
}
matlab.PutVector(SubVec, "SubVec" + g);
g++;
}
}
for (int iGlbBlock = 0; iGlbBlock < GlobalNoOfBlocks; iGlbBlock++)
{
matlab.Cmd("RhsErr({0} + 1, 1) = norm( SubVec{0} - testRHS( BlockIdx{0} ), inf );", iGlbBlock);
}
double[] testX = new double[testRHS.Length];
MPIexchangeInverse <double[]> XExchange = new MPIexchangeInverse <double[]>(MgMap, testX);
g = 0;
for (int rankCounter = 0; rankCounter < myMpisize; rankCounter++)
{
int rank_NoBlks = NoOfSchwzBlocks.MPIBroadcast(rankCounter);
for (int iBlock = 0; iBlock < rank_NoBlks; iBlock++)
{
if (rankCounter == myMpiRank)
{
int LL = this.BlockIndices_Local[iBlock].Length;
int LE;
if (this.BlockIndices_External[iBlock] != null)
{
LE = this.BlockIndices_External[iBlock].Length;
}
else
{
LE = 0;
}
int L = LL + LE;
for (int i = 0; i < LL; i++)
{
testX[this.BlockIndices_Local[iBlock][i]] += (g + 1);
}
if (LE > 0)
{
for (int i = 0; i < LE; i++)
{
XExchange.Vector_Ext[this.BlockIndices_External[iBlock][i] - offset] += (g + 1);
}
}
}
else
{
//nop
}
g++;
}
}
XExchange.TransceiveStartImReturn();
XExchange.TransceiveFinish(1.0);
matlab.Cmd("testXref = zeros({0},1);", MgMap.TotalLength);
for (int iGlbBlock = 0; iGlbBlock < GlobalNoOfBlocks; iGlbBlock++)
{
matlab.Cmd("testXref(BlockIdx{0},1) = testXref(BlockIdx{0},1) + ({0} + 1);", iGlbBlock);
}
matlab.PutVector(testX, "testX");
matlab.Cmd("testXErr = norm(testX - testXref, inf);");
MultidimensionalArray BlockErr = MultidimensionalArray.Create(GlobalNoOfBlocks, 1);
MultidimensionalArray RhsErr = MultidimensionalArray.Create(GlobalNoOfBlocks, 1);
MultidimensionalArray testXErr = MultidimensionalArray.Create(1, 1);
matlab.GetMatrix(BlockErr, "BlockErr");
matlab.GetMatrix(RhsErr, "RhsErr");
matlab.GetMatrix(testXErr, "testXErr");
matlab.Execute();
for (int iGlbBlock = 0; iGlbBlock < GlobalNoOfBlocks; iGlbBlock++)
{
Console.WriteLine("Block #{0} Error (external? ) " + BlockErr[iGlbBlock, 0], iGlbBlock);
Console.WriteLine("RHS #{0} Error " + RhsErr[iGlbBlock, 0], iGlbBlock);
Debug.Assert(BlockErr[iGlbBlock, 0] == 0);
Debug.Assert(RhsErr[iGlbBlock, 0] == 0);
}
Console.WriteLine("X Error " + testXErr[0, 0]);
Debug.Assert(testXErr[0, 0] == 0.0);
matlab.Dispose();
}
#endif
}
}
public static void SubMatrixTest(
[Values(XDGusage.none, XDGusage.mixed1, XDGusage.mixed2, XDGusage.all)] XDGusage UseXdg,
[Values(1, 3)] int DGOrder,
[Values(false, true)] bool compressL1,
[Values(false, true)] bool compressL2)
{
unsafe
{
int[] Params = new int[8], ParamsGlob = new int[8];
fixed(int *pParams = Params, pParamsGlob = ParamsGlob)
{
pParams[0] = (int)UseXdg;
pParams[1] = DGOrder;
pParams[2] = compressL1 ? 1 : 0;
pParams[3] = compressL2 ? 1 : 0;
pParams[4] = -pParams[0];
pParams[5] = -pParams[1];
pParams[6] = -pParams[2];
pParams[7] = -pParams[3];
csMPI.Raw.Allreduce((IntPtr)pParams, (IntPtr)pParamsGlob, 8, csMPI.Raw._DATATYPE.INT, csMPI.Raw._OP.MIN, csMPI.Raw._COMM.WORLD);
}
int[] ParamsMin = ParamsGlob.GetSubVector(0, 4);
int[] ParamsMax = ParamsGlob.GetSubVector(4, 4);
for (int i = 0; i < 4; i++)
{
if (Params[i] != ParamsMin[i])
{
throw new ApplicationException();
}
if (Params[i] != -ParamsMax[i])
{
throw new ApplicationException();
}
}
Console.WriteLine("SubMatrixTest({0},{1},{2},{3})", UseXdg, DGOrder, compressL1, compressL2);
}
using (var solver = new Matrix_MPItestMain()
{
m_UseXdg = UseXdg, m_DGorder = DGOrder
}) {
// create the test data
// ====================
BoSSS.Solution.Application.CommandLineOptions opts = null;
//opts = new BoSSS.Solution.Application.CommandLineOptions();
solver.Init(null, opts);
solver.RunSolverMode();
Stopwatch stw = new Stopwatch();
stw.Reset();
stw.Start();
BlockMsrMatrix M = solver.OperatorMatrix;
int[] Ilist1 = solver.ProblemMapping.GetSubvectorIndices(false, 0);
int[] Ilist2 = solver.ProblemMapping.GetSubvectorIndices(false, 1);
foreach (int i in Ilist1)
{
Assert.IsTrue(solver.ProblemMapping.IsInLocalRange(i));
}
foreach (int i in Ilist2)
{
Assert.IsTrue(solver.ProblemMapping.IsInLocalRange(i));
}
var Blk1 = solver.ProblemMapping.GetSubBlocking(Ilist1, csMPI.Raw._COMM.WORLD, compressL1 ? -1 : 0);
var Blk2 = solver.ProblemMapping.GetSubBlocking(Ilist2, csMPI.Raw._COMM.WORLD, compressL2 ? -1 : 0);
int[] Tlist1 = compressL1 ? default(int[]) : Blk1.GetOccupiedIndicesList();
int[] Tlist2 = compressL2 ? default(int[]) : Blk2.GetOccupiedIndicesList();
if (Tlist1 != null)
{
Assert.AreEqual(Tlist1.Length, Ilist1.Length);
foreach (int i in Tlist1)
{
Assert.IsTrue(Blk1.IsInLocalRange(i));
}
}
if (Tlist2 != null)
{
Assert.AreEqual(Tlist2.Length, Ilist2.Length);
foreach (int i in Tlist2)
{
Assert.IsTrue(Blk2.IsInLocalRange(i));
}
}
BlockMsrMatrix M11 = new BlockMsrMatrix(Blk1, Blk1);
BlockMsrMatrix M12 = new BlockMsrMatrix(Blk1, Blk2);
BlockMsrMatrix M21 = new BlockMsrMatrix(Blk2, Blk1);
BlockMsrMatrix M22 = new BlockMsrMatrix(Blk2, Blk2);
M.AccSubMatrixTo(1.0, M11, Ilist1, Tlist1, Ilist1, Tlist1);
M.AccSubMatrixTo(1.0, M12, Ilist1, Tlist1, Ilist2, Tlist2);
M.AccSubMatrixTo(1.0, M21, Ilist2, Tlist2, Ilist1, Tlist1);
M.AccSubMatrixTo(1.0, M22, Ilist2, Tlist2, Ilist2, Tlist2);
BlockMsrMatrix restored_M = new BlockMsrMatrix(M._RowPartitioning, M._ColPartitioning);
int[] Idx1 = compressL1 ? Blk1.LocalLength.ForLoop(i => i + Blk1.i0) : Tlist1;
int[] Idx2 = compressL2 ? Blk2.LocalLength.ForLoop(i => i + Blk2.i0) : Tlist2;
M11.AccSubMatrixTo(1.0, restored_M, Idx1, Ilist1, Idx1, Ilist1);
M12.AccSubMatrixTo(1.0, restored_M, Idx1, Ilist1, Idx2, Ilist2);
M21.AccSubMatrixTo(1.0, restored_M, Idx2, Ilist2, Idx1, Ilist1);
M22.AccSubMatrixTo(1.0, restored_M, Idx2, Ilist2, Idx2, Ilist2);
// test transpose-operator
var M_TT = M.Transpose().Transpose();
var M11_TT = M11.Transpose().Transpose();
var M12_TT = M12.Transpose().Transpose();
var M21_TT = M21.Transpose().Transpose();
var M22_TT = M22.Transpose().Transpose();
M_TT.Acc(-1.0, M);
M11_TT.Acc(-1.0, M11);
M12_TT.Acc(-1.0, M12);
M21_TT.Acc(-1.0, M21);
M22_TT.Acc(-1.0, M22);
double M_TT_norm = M_TT.InfNorm();
double M11_TT_norm = M11_TT.InfNorm();
double M12_TT_norm = M12_TT.InfNorm();
double M21_TT_norm = M21_TT.InfNorm();
double M22_TT_norm = M22_TT.InfNorm();
Assert.IsTrue(M_TT_norm == 0.0, "Transpose^2 is not identity.");
Assert.IsTrue(M11_TT_norm == 0.0, "Transpose^2 is not identity.");
Assert.IsTrue(M12_TT_norm == 0.0, "Transpose^2 is not identity.");
Assert.IsTrue(M21_TT_norm == 0.0, "Transpose^2 is not identity.");
Assert.IsTrue(M22_TT_norm == 0.0, "Transpose^2 is not identity.");
//M.SaveToTextFileSparse(@"C:\tmp\M.txt");
//M11.SaveToTextFileSparse(@"C:\tmp\M11.txt");
//M12.SaveToTextFileSparse(@"C:\tmp\M12.txt");
//M21.SaveToTextFileSparse(@"C:\tmp\M21.txt");
//M22.SaveToTextFileSparse(@"C:\tmp\M22.txt");
//restored_M.SaveToTextFileSparse(@"C:\tmp\Mr.txt");
stw.Stop();
using (var MatlabRef = new BatchmodeConnector()) {
MatlabRef.PutVector(Ilist1.Select(i => (double)i + 1.0).ToArray(), "Ilist1");
MatlabRef.PutVector(Ilist2.Select(i => (double)i + 1.0).ToArray(), "Ilist2");
MatlabRef.PutVector(Tlist1 == null ? Ilist1.Length.ForLoop(i => (double)i + 1.0 + Blk1.i0) : Tlist1.Select(i => (double)i + 1.0).ToArray(), "Tlist1");
MatlabRef.PutVector(Tlist2 == null ? Ilist2.Length.ForLoop(i => (double)i + 1.0 + Blk2.i0) : Tlist2.Select(i => (double)i + 1.0).ToArray(), "Tlist2");
MultidimensionalArray CheckRes = MultidimensionalArray.Create(1, 4);
MatlabRef.PutSparseMatrix(M, "M");
MatlabRef.PutSparseMatrix(M11, "M11");
MatlabRef.PutSparseMatrix(M12, "M12");
MatlabRef.PutSparseMatrix(M21, "M21");
MatlabRef.PutSparseMatrix(M22, "M22");
MatlabRef.Cmd("L1 = {0};", Blk1.TotalLength);
MatlabRef.Cmd("L2 = {0};", Blk2.TotalLength);
MatlabRef.Cmd("refM11 = sparse(L1, L1);");
MatlabRef.Cmd("refM12 = sparse(L1, L2);");
MatlabRef.Cmd("refM21 = sparse(L2, L1);");
MatlabRef.Cmd("refM22 = sparse(L2, L2);");
MatlabRef.Cmd("refM11(Tlist1, Tlist1) = M(Ilist1, Ilist1);");
MatlabRef.Cmd("refM12(Tlist1, Tlist2) = M(Ilist1, Ilist2);");
MatlabRef.Cmd("refM21(Tlist2, Tlist1) = M(Ilist2, Ilist1);");
MatlabRef.Cmd("refM22(Tlist2, Tlist2) = M(Ilist2, Ilist2);");
MatlabRef.Cmd("err11 = norm(refM11 - M11, inf);");
MatlabRef.Cmd("err12 = norm(refM12 - M12, inf);");
MatlabRef.Cmd("err21 = norm(refM21 - M21, inf);");
MatlabRef.Cmd("err22 = norm(refM22 - M22, inf);");
MatlabRef.Cmd("CheckRes = [err11, err12, err21, err22];");
MatlabRef.GetMatrix(CheckRes, "CheckRes");
MatlabRef.Execute();
Console.WriteLine("Matlab check 11: " + CheckRes[0, 0]);
Console.WriteLine("Matlab check 12: " + CheckRes[0, 1]);
Console.WriteLine("Matlab check 21: " + CheckRes[0, 2]);
Console.WriteLine("Matlab check 22: " + CheckRes[0, 3]);
Assert.IsTrue(CheckRes[0, 0] == 0.0);
Assert.IsTrue(CheckRes[0, 1] == 0.0);
Assert.IsTrue(CheckRes[0, 2] == 0.0);
Assert.IsTrue(CheckRes[0, 3] == 0.0);
}
stw.Start();
restored_M.Acc(-1.0, M);
double err = restored_M.InfNorm();
Console.WriteLine("Submatrix operations error: " + err);
Assert.IsTrue(err == 0.0);
restored_M.Clear();
restored_M.Acc(1.0, M);
IMutuableMatrixEx_Extensions.Acc(restored_M, -1.0, M);
double err2 = restored_M.InfNorm();
Console.WriteLine("Submatrix operations error: " + err2);
Assert.IsTrue(err2 == 0.0);
stw.Stop();
Console.WriteLine("Time spend in matrix operations: " + stw.Elapsed.TotalSeconds + " sec.");
TotTime_MatrixOp += stw.Elapsed;
}
}
public static void MultiplyTest(
[Values(XDGusage.none, XDGusage.mixed1, XDGusage.mixed2, XDGusage.all)] XDGusage UseXdg,
[Values(1, 3)] int DGOrder,
[Values(false, true)] bool compressL1,
[Values(false, true)] bool compressL2)
{
unsafe
{
int[] Params = new int[8], ParamsGlob = new int[8];
fixed(int *pParams = Params, pParamsGlob = ParamsGlob)
{
pParams[0] = (int)UseXdg;
pParams[1] = DGOrder;
pParams[2] = compressL1 ? 1 : 0;
pParams[3] = compressL2 ? 1 : 0;
pParams[4] = -pParams[0];
pParams[5] = -pParams[1];
pParams[6] = -pParams[2];
pParams[7] = -pParams[3];
csMPI.Raw.Allreduce((IntPtr)pParams, (IntPtr)pParamsGlob, 8, csMPI.Raw._DATATYPE.INT, csMPI.Raw._OP.MIN, csMPI.Raw._COMM.WORLD);
}
int[] ParamsMin = ParamsGlob.GetSubVector(0, 4);
int[] ParamsMax = ParamsGlob.GetSubVector(4, 4);
for (int i = 0; i < 4; i++)
{
if (Params[i] != ParamsMin[i])
{
throw new ApplicationException();
}
if (Params[i] != -ParamsMax[i])
{
throw new ApplicationException();
}
}
Console.WriteLine("MultiplyTest({0},{1},{2},{3})", UseXdg, DGOrder, compressL1, compressL2);
}
using (var solver = new Matrix_MPItestMain()
{
m_UseXdg = UseXdg, m_DGorder = DGOrder
}) {
// create the test data
// ====================
solver.Init(null);
solver.RunSolverMode();
Stopwatch stw = new Stopwatch();
stw.Reset();
stw.Start();
BlockMsrMatrix M = solver.OperatorMatrix;
int[] Ilist1 = solver.ProblemMapping.GetSubvectorIndices(false, 0);
int[] Ilist2 = solver.ProblemMapping.GetSubvectorIndices(false, 1);
foreach (int i in Ilist1)
{
Assert.IsTrue(solver.ProblemMapping.IsInLocalRange(i));
}
foreach (int i in Ilist2)
{
Assert.IsTrue(solver.ProblemMapping.IsInLocalRange(i));
}
var Blk1 = solver.ProblemMapping.GetSubBlocking(Ilist1, csMPI.Raw._COMM.WORLD, compressL1 ? -1 : 0);
var Blk2 = solver.ProblemMapping.GetSubBlocking(Ilist2, csMPI.Raw._COMM.WORLD, compressL2 ? -1 : 0);
int[] Tlist1 = compressL1 ? default(int[]) : Blk1.GetOccupiedIndicesList();
int[] Tlist2 = compressL2 ? default(int[]) : Blk2.GetOccupiedIndicesList();
if (Tlist1 != null)
{
Assert.AreEqual(Tlist1.Length, Ilist1.Length);
foreach (int i in Tlist1)
{
Assert.IsTrue(Blk1.IsInLocalRange(i));
}
}
if (Tlist2 != null)
{
Assert.AreEqual(Tlist2.Length, Ilist2.Length);
foreach (int i in Tlist2)
{
Assert.IsTrue(Blk2.IsInLocalRange(i));
}
}
BlockMsrMatrix M11 = new BlockMsrMatrix(Blk1, Blk1);
BlockMsrMatrix M12 = new BlockMsrMatrix(Blk1, Blk2);
BlockMsrMatrix M21 = new BlockMsrMatrix(Blk2, Blk1);
BlockMsrMatrix M22 = new BlockMsrMatrix(Blk2, Blk2);
M.AccSubMatrixTo(1.0, M11, Ilist1, Tlist1, Ilist1, Tlist1);
M.AccSubMatrixTo(1.0, M12, Ilist1, Tlist1, Ilist2, Tlist2);
M.AccSubMatrixTo(1.0, M21, Ilist2, Tlist2, Ilist1, Tlist1);
M.AccSubMatrixTo(1.0, M22, Ilist2, Tlist2, Ilist2, Tlist2);
/*
* MultidimensionalArray CheckRes2 = MultidimensionalArray.Create(1, 4);
* using (var MatlabRef = new BatchmodeConnector()) {
*
* MatlabRef.PutVector(Ilist1.Select(i => (double)i + 1.0).ToArray(), "Ilist1");
* MatlabRef.PutVector(Ilist2.Select(i => (double)i + 1.0).ToArray(), "Ilist2");
* MatlabRef.PutVector(Tlist1 == null ? Ilist1.Length.ForLoop(i => (double)i + 1.0 + Blk1.i0) : Tlist1.Select(i => (double)i + 1.0).ToArray(), "Tlist1");
* MatlabRef.PutVector(Tlist2 == null ? Ilist2.Length.ForLoop(i => (double)i + 1.0 + Blk2.i0) : Tlist2.Select(i => (double)i + 1.0).ToArray(), "Tlist2");
*
* MatlabRef.PutSparseMatrix(solver.AltOperatorMatrix, "M");
*
*
* MatlabRef.Cmd("L1 = {0};", Blk1.TotalLength);
* MatlabRef.Cmd("L2 = {0};", Blk2.TotalLength);
* //MatlabRef.Cmd("refM11 = sparse(L1, L1);");
* //MatlabRef.Cmd("refM12 = sparse(L1, L2);");
* MatlabRef.Cmd("refM21 = sparse(L2, L1);");
* //MatlabRef.Cmd("refM22 = sparse(L2, L2);");
*
* //MatlabRef.Cmd("refM11(Tlist1, Tlist1) = M(Ilist1, Ilist1);");
* //MatlabRef.Cmd("refM12(Tlist1, Tlist2) = M(Ilist1, Ilist2);");
* MatlabRef.Cmd("refM21(Tlist2, Tlist1) = M(Ilist2, Ilist1);");
* //MatlabRef.Cmd("refM22(Tlist2, Tlist2) = M(Ilist2, Ilist2);");
*
* //MatlabRef.Cmd("err11 = norm(refM11 - M11, inf);");
* //MatlabRef.Cmd("err12 = norm(refM12 - M12, inf);");
* //MatlabRef.Cmd("err21 = norm(refM21 - M21, inf);");
* //MatlabRef.Cmd("err22 = norm(refM22 - M22, inf);");
*
* MatlabRef.Cmd("CheckRes = [refM21(1339, 1321), 0.0, 1.567, 0 ];");
* MatlabRef.GetMatrix(CheckRes2, "CheckRes");
*
* MatlabRef.Execute();
* }
*/
// test multipliation (later verified by matlab)
BlockMsrMatrix M11xM12 = new BlockMsrMatrix(M11._RowPartitioning, M12._ColPartitioning);
M11xM12.Acc(1.0, M12);
BlockMsrMatrix.Multiply(M11xM12, M11, M12);
BlockMsrMatrix M22xM21 = new BlockMsrMatrix(M22._RowPartitioning, M21._ColPartitioning);
BlockMsrMatrix.Multiply(M22xM21, M22, M21);
double ProdNorm = M22xM21.InfNorm();
stw.Stop();
//M.SaveToTextFileSparse(@"C:\tmp\M.txt");
//M11.SaveToTextFileSparse(@"C:\tmp\M11.txt");
//M12.SaveToTextFileSparse(@"C:\tmp\M12.txt");
//M21.SaveToTextFileSparse(@"C:\tmp\M21.txt");
//M22.SaveToTextFileSparse(@"C:\tmp\M22.txt");
//M22xM21.SaveToTextFileSparse(@"C:\tmp\M22xM21.txt");
using (var MatlabRef = new BatchmodeConnector()) {
MultidimensionalArray CheckRes = MultidimensionalArray.Create(1, 4);
MatlabRef.PutSparseMatrix(M11, "M11");
MatlabRef.PutSparseMatrix(M12, "M12");
MatlabRef.PutSparseMatrix(M21, "M21");
MatlabRef.PutSparseMatrix(M22, "M22");
MatlabRef.PutSparseMatrix(M11xM12, "M11xM12");
MatlabRef.PutSparseMatrix(M22xM21, "M22xM21");
MatlabRef.Cmd("refM11xM12 = M12 + M11*M12;");
MatlabRef.Cmd("refM22xM21 = M22*M21;");
MatlabRef.Cmd("err1112 = norm(refM11xM12 - M11xM12, inf);");
MatlabRef.Cmd("err2221 = norm(refM22xM21 - M22xM21, inf);");
MatlabRef.Cmd("CheckRes = [err1112, err2221, 0, 0];");
MatlabRef.GetMatrix(CheckRes, "CheckRes");
MatlabRef.Execute();
Console.WriteLine("Matlab check M11*M12: " + CheckRes[0, 0]);
Console.WriteLine("Matlab check M22*M21: " + CheckRes[0, 1]);
Assert.IsTrue(CheckRes[0, 0] == 0.0);
Assert.IsTrue(CheckRes[0, 1] < 1.0e-10 * ProdNorm);
//Assert.IsTrue(CheckRes[0, 2] == 0.0);
//Assert.IsTrue(CheckRes[0, 3] == 0.0);
}
Console.WriteLine("Time spend in matrix operations: " + stw.Elapsed.TotalSeconds + " sec.");
TotTime_MatrixOp += stw.Elapsed;
}
}
//
//
/// <summary>
/// applies the agglomeration on a general matrix
/// </summary>
/// <param name="Matrix">the matrix that should be manipulated.</param>
/// <param name="Rhs">the right-hand-side that should be manipulated</param>
/// <param name="ColMap"></param>
/// <param name="ColMapAggSw">Turns column agglomeration on/off fore each variable individually; default == null is on. </param>
/// <param name="RowMap"></param>
/// <param name="RowMapAggSw">The same shit as for <paramref name="ColMapAggSw"/>, just for rows.</param>
public void ManipulateMatrixAndRHS<M, T>(M Matrix, T Rhs, UnsetteledCoordinateMapping RowMap, UnsetteledCoordinateMapping ColMap, bool[] RowMapAggSw = null, bool[] ColMapAggSw = null)
where M : IMutableMatrixEx
where T : IList<double>
{
MPICollectiveWatchDog.Watch();
//var mtxS = GetFrameMatrices(Matrix, RowMap, ColMap);
if (Matrix == null && Rhs == null)
// nothing to do
return;
if (TotalNumberOfAgglomerations <= 0)
// nothing to do
return;
if (RowMapAggSw != null)
throw new NotImplementedException();
// generate agglomeration sparse matrices
// ======================================
int RequireRight;
if (Matrix == null) {
// we don't need multiplication-from-the-right at all
RequireRight = 0;
} else {
if (RowMap.EqualsUnsetteled(ColMap) && ArrayTools.ListEquals(ColMapAggSw, RowMapAggSw)) {
// we can use the same matrix for right and left multiplication
RequireRight = 1;
} else {
// separate matrix for the multiplication-from-the-right is required
RequireRight = 2;
}
}
BlockMsrMatrix LeftMul = null, RightMul = null;
{
foreach (var kv in DictAgglomeration) {
var Species = kv.Key;
var m_Agglomerator = kv.Value;
if (m_Agglomerator != null) {
CellMask spcMask = this.Tracker.Regions.GetSpeciesMask(Species);
MiniMapping rowMini = new MiniMapping(RowMap, Species, this.Tracker.Regions);
BlockMsrMatrix LeftMul_Species = m_Agglomerator.GetRowManipulationMatrix(RowMap, rowMini.MaxDeg, rowMini.NoOfVars, rowMini.i0Func, rowMini.NFunc, false, spcMask);
if (LeftMul == null) {
LeftMul = LeftMul_Species;
} else {
LeftMul.Acc(1.0, LeftMul_Species);
}
if (!object.ReferenceEquals(LeftMul, RightMul) && RightMul != null) {
MiniMapping colMini = new MiniMapping(ColMap, Species, this.Tracker.Regions);
BlockMsrMatrix RightMul_Species = m_Agglomerator.GetRowManipulationMatrix(ColMap, colMini.MaxDeg, colMini.NoOfVars, colMini.i0Func, colMini.NFunc, false, spcMask);
if (RightMul == null) {
RightMul = RightMul_Species;
} else {
RightMul.Acc(1.0, RightMul_Species);
}
} else if (RequireRight == 1) {
RightMul = LeftMul;
} else {
RightMul = null;
}
}
}
}
// apply the agglomeration to the matrix
// =====================================
if (Matrix != null) {
BlockMsrMatrix RightMulTr = RightMul.Transpose();
BlockMsrMatrix _Matrix;
if (Matrix is BlockMsrMatrix) {
_Matrix = (BlockMsrMatrix)((object)Matrix);
} else {
_Matrix = Matrix.ToBlockMsrMatrix(RowMap, ColMap);
}
var AggMatrix = BlockMsrMatrix.Multiply(LeftMul, BlockMsrMatrix.Multiply(_Matrix, RightMulTr));
if (object.ReferenceEquals(_Matrix, Matrix)) {
_Matrix.Clear();
_Matrix.Acc(1.0, AggMatrix);
} else {
Matrix.Acc(-1.0, _Matrix); // das ist so
Matrix.Acc(1.0, AggMatrix); // meagaschlecht !!!!!!
}
}
// apply the agglomeration to the Rhs
// ==================================
if (Rhs != null) {
double[] tmp = Rhs.ToArray();
if (object.ReferenceEquals(tmp, Rhs))
throw new ApplicationException("Flache kopie sollte eigentlich ausgeschlossen sein!?");
LeftMul.SpMV(1.0, tmp, 0.0, Rhs);
}
}
public static void SubBlockExtractionWithCoupling(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.diagonal, MatrixShape.diagonal_var, MatrixShape.diagonal_spec, MatrixShape.diagonal_var_spec)] MatrixShape MShape
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("ExtractDiagonalBlocks({0},{1},{2})", UseXdg, DGOrder, MShape);
//Arrange --- get multigridoperator
MultigridOperator MGOp = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape);
BlockMsrMatrix M = MGOp.OperatorMatrix;
MultigridMapping map = MGOp.Mapping;
//Arrange --- setup masking
SubBlockSelector SBS = new SubBlockSelector(map);
BlockMask mask = new BlockMask(SBS, null);
bool[] coupling = Utils.SetCoupling(MShape);
//Arrange --- some time measurement
Stopwatch stw = new Stopwatch();
stw.Reset();
//Arrange --- setup auxiliary matrix
//this will show us if more is extracted, than it should ...
var Mprep = new BlockMsrMatrix(map);
Mprep.Acc(1.0, M);
//Act --- diagonal subblock extraction
stw.Start();
var blocks = mask.GetDiagonalBlocks(Mprep, coupling[0], coupling[1]);
stw.Stop();
//Assert --- all diagonal blocks are extracted
Assert.IsTrue(blocks.Length == map.LocalNoOfBlocks);
for (int i = 0; i < map.LocalNoOfBlocks; i++)
{
//Arrange --- get ith diagonal block of M: M_i
int iBlock = i + map.AggGrid.CellPartitioning.i0;
int L = map.GetBlockLen(iBlock);
int i0 = map.GetBlockI0(iBlock);
var Mblock = MultidimensionalArray.Create(L, L);
M.ReadBlock(i0, i0, Mblock);
//Act --- M_i-Mones_i
Mblock.Acc(-1.0, blocks[i]);
//Assert --- are extracted blocks and
Assert.IsTrue(Mblock.InfNorm() == 0.0, String.Format("infNorm of block {0} neq 0!", i));
}
//BlockMsrMatrix all1;
//all1.SetAll(1);
//Generate broken diagonal matrix, die zur Maske passt: M
//M+all1=M_prep
//Wende Extraction auf M_prep an, Man sollte nun M bekommen
//Test: M_prep-extract(M_prep)=all1
//Test-crit: Result.SumEntries=DOF^2 oder Result.Max()==Result.Min()==1
//oder (besser)
//Test: M-extract(M_prep)=zeros
//Test-crit: Result.InfNorm()==0
//Der Test kann für ExtractSubMatrix mit ignore coupling wiederholt werden
//eventuell: Testmatrix finden mit brauchbaren Nebendiagonalen für einen Fall
//Was wird getestet: funktioniert ignorecoupling richtig?
}