public static bool[] SetCoupling(MatrixShape shape)
{
bool[] coupling = new bool[2];
switch (shape)
{
case MatrixShape.diagonal:
case MatrixShape.full:
coupling = new bool[] { true, true };
break;
case MatrixShape.diagonal_var:
case MatrixShape.full_var:
coupling = new bool[] { false, true };
break;
case MatrixShape.diagonal_spec:
case MatrixShape.full_spec:
coupling = new bool[] { true, false };
break;
case MatrixShape.diagonal_var_spec:
case MatrixShape.full_var_spec:
coupling = new bool[] { false, false };
break;
default:
throw new NotSupportedException(String.Format("{0} is not supported by this test", shape));
}
return(coupling);
}
public double[,,,] forward(double[,,,] input)
{
//获取样本的总数
int sampleCount = input.GetLength(0);
//获取单个样本的深度
int sampleSingleDepth = input.GetLength(1);
//获取特征图的行数（高）
int inputRow = input.GetLength(2);
//获取特征图的列数（宽）
int inputColumn = input.GetLength(3);
//创建最大值的
SingleMaxIndex = new int[sampleCount][][];
int row = (inputRow - PadRow) / Stride + 1;
int column = (inputColumn - PadColumn) / Stride + 1;
var result = new double[sampleCount, sampleSingleDepth, row, column];
for (int sampleIndex = 0; sampleIndex < sampleCount; sampleIndex++)
{
//初始化特征图最大索引对象
SingleMaxIndex[sampleIndex] = new int[sampleSingleDepth][];
//记录特征图的行和列信息
InputShape = new MatrixShape(inputRow, inputColumn);
for (int depth = 0; depth < sampleSingleDepth; depth++)
{
LMatrix pad = im2col(input.GetNextDimVal(sampleIndex, depth, inputRow, inputColumn), row, column, PadRow, PadColumn, Stride);
SingleMaxIndex[sampleIndex][depth] = pad.MaxIndex();
//LMatrix data = pad.Matrix.Select(m => m.Max()).ToArray();
LMatrix data = pad.Max(1);
result.SetDimVal(data.ReShape(row, column), sampleIndex, depth, row, column);
}
}
return(result);
}
public static void SubSelection(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.full_var_spec, MatrixShape.full_spec, MatrixShape.full_var, MatrixShape.full)] MatrixShape MShape,
[Values(4)] int Res)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape, Res);
Console.WriteLine("SubSelection({0},{1},{2},{3})", UseXdg, DGOrder, MShape, Res);
//Arrange --- create test matrix, MG mapping
MultigridOperator mgo = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape, Res);
MultigridMapping map = mgo.Mapping;
BlockMsrMatrix M = mgo.OperatorMatrix;
//Arrange --- get mask
int[] cells = Utils.GetCellsOfOverlappingTestBlock(map);
Array.Sort(cells);
var sbs = new SubBlockSelector(map);
sbs.CellSelector(cells, false);
BlockMsrMatrix M_ext = BlockMask.GetAllExternalRows(map, M);
var mask = new BlockMask(sbs, M_ext);
//Arrange --- get GlobalIdxList
int[] idc = Utils.GetIdcOfSubBlock(map, cells);
bool[] coup = Utils.SetCoupling(MShape);
var M_sub = mask.GetSubBlockMatrix(M, false, coup[0], coup[1]);
var infNorm = MultidimensionalArray.Create(4, 1);
int rank = map.MpiRank;
using (BatchmodeConnector matlab = new BatchmodeConnector()) {
double[] GlobIdx = idc.Count().ForLoop(i => (double)idc[i] + 1.0);
Assert.IsTrue(GlobIdx.Length == M_sub.NoOfRows);
matlab.PutSparseMatrix(M, "M");
// note: M_sub lives on Comm_Self, therefore we have to distinguish between procs ...
matlab.PutSparseMatrixRankExclusive(M_sub, "M_sub");
matlab.PutVectorRankExclusive(GlobIdx, "Idx");
matlab.Cmd("M_0 = full(M(Idx_0, Idx_0));");
matlab.Cmd("M_1 = full(M(Idx_1, Idx_1));");
matlab.Cmd("M_2 = full(M(Idx_2, Idx_2));");
matlab.Cmd("M_3 = full(M(Idx_3, Idx_3));");
matlab.Cmd("n=[0; 0; 0; 0];");
matlab.Cmd("n(1,1)=norm(M_0-M_sub_0,inf);");
matlab.Cmd("n(2,1)=norm(M_1-M_sub_1,inf);");
matlab.Cmd("n(3,1)=norm(M_2-M_sub_2,inf);");
matlab.Cmd("n(4,1)=norm(M_3-M_sub_3,inf);");
matlab.GetMatrix(infNorm, "n");
matlab.Execute();
}
Assert.IsTrue(infNorm[rank, 0] == 0.0);
}
public static void SplitVectorOperations(
XDGusage UseXdg,
int DGOrder,
MatrixShape MShape
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("SplitVectorOperations({0},{1},{2})", UseXdg, DGOrder, MShape);
//matrix Erzeugung wie in ExtractDiagonalCellBlocks...
//Auf der HierarchieEbene, auf der Kopplung ausgesetzt wird kann Auswahl vorgenommen werden
//bei var: 0 / 1, bei DG: <=1 / >1, bei spec: A / B, bei Cells: odd / even
//accumulierte Teilergebnisse sind dann == fullM*fullX
var mop = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape);
var map = mop.Mapping;
double[] Vec = Utils.GetRandomVector(mop.Mapping.LocalLength);
//Arrange --- setup masking
SubBlockSelector sbsA = new SubBlockSelector(map);
sbsA.SetDefaultSplitSelection(MShape, true);
BlockMask maskA = new BlockMask(sbsA, null);
SubBlockSelector sbsB = new SubBlockSelector(map);
sbsB.SetDefaultSplitSelection(MShape, false);
BlockMask maskB = new BlockMask(sbsB, null);
double[] VecAB = new double[Vec.Length];
//Arrange --- some time measurement
Stopwatch stw = new Stopwatch();
stw.Reset();
//Act ---
stw.Start();
var VecA = maskA.GetSubVec(Vec);
var VecB = maskB.GetSubVec(Vec);
maskA.AccSubVec(VecA, VecAB);
maskB.AccSubVec(VecB, VecAB);
stw.Stop();
Debug.Assert(Vec.L2Norm() != 0);
double fac = ((MShape == MatrixShape.full_var || MShape == MatrixShape.diagonal_var) && UseXdg == XDGusage.none) ? -2.0 : -1.0;
VecAB.AccV(fac, Vec);
//Assert --- are extracted blocks and
Assert.IsTrue(VecAB.L2Norm() == 0.0, String.Format("L2Norm neq 0!"));
}
public static void VectorSplitOperation(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.full_var_spec, MatrixShape.full_spec, MatrixShape.full)] MatrixShape MShape,
[Values(4)] int Res)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape, Res);
Console.WriteLine("VectorSplitOperation({0},{1},{2},{3})", UseXdg, DGOrder, MShape, Res);
//Arrange --- create test matrix, MG mapping
MultigridOperator mgo = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape, Res);
MultigridMapping map = mgo.Mapping;
BlockMsrMatrix M = mgo.OperatorMatrix;
BlockMsrMatrix M_ext = BlockMask.GetAllExternalRows(map, M);
double[] Vec = Utils.GetRandomVector(M_ext.RowPartitioning.LocalLength);
//Arrange --- setup masking
SubBlockSelector sbsA = new SubBlockSelector(map);
sbsA.SetDefaultSplitSelection(MShape, true, false);
BlockMask maskA = new BlockMask(sbsA, M_ext);
SubBlockSelector sbsB = new SubBlockSelector(map);
sbsB.SetDefaultSplitSelection(MShape, false, false);
BlockMask maskB = new BlockMask(sbsB, M_ext);
double[] VecAB = new double[Vec.Length];
//Arrange --- some time measurement
Stopwatch stw = new Stopwatch();
stw.Reset();
//Act ---
stw.Start();
var VecA = maskA.GetSubVec(Vec, new double[0]);
var VecB = maskB.GetSubVec(Vec, new double[0]);
maskA.AccSubVec(VecA, VecAB, new double[0]);
maskB.AccSubVec(VecB, VecAB, new double[0]);
stw.Stop();
Debug.Assert(Vec.L2Norm() != 0);
double fac = ((MShape == MatrixShape.full_var || MShape == MatrixShape.diagonal_var) && UseXdg == XDGusage.none) ? -2.0 : -1.0;
VecAB.AccV(fac, Vec);
//Assert --- are extracted blocks and
Assert.IsTrue(VecAB.L2Norm() == 0.0, String.Format("L2Norm neq 0!"));
}
public static void CellBlockVectorOperations(
[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
)
{
//matrix Erzeugung wie in ExtractDiagonalCellBlocks...
//Auf der HierarchieEbene, auf der Kopplung ausgesetzt wird kann Auswahl vorgenommen werden
//bei var: 0 / 1, bei DG: <=1 / >1, bei spec: A / B, bei Cells: odd / even
//accumulierte Teilergebnisse sind dann == fullM*fullX
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("CellBlockVectorOperations({0},{1},{2})", UseXdg, DGOrder, MShape);
var mop = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape);
var map = mop.Mapping;
double[] Vec = Utils.GetRandomVector(mop.Mapping.LocalLength);
//Arrange --- setup masking
SubBlockSelector SBS = new SubBlockSelector(map);
BlockMask mask = new BlockMask(SBS, null);
//Arrange --- some time measurement
Stopwatch stw = new Stopwatch();
stw.Reset();
//Assert --- all diagonal blocks are extracted
//Assert.IsTrue(blocks.Length == map.LocalNoOfBlocks);
double[] Vec_col = new double[map.LocalLength];
for (int i = 0; i < map.LocalNoOfBlocks; i++)
{
stw.Start();
double[] Vec_i = mask.GetSubVecOfCell(Vec, i);
mask.AccSubVecOfCell(Vec_i, i, Vec_col);
stw.Stop();
}
Vec_col.AccV(-1.0, Vec);
//Assert --- are extracted blocks and
Assert.IsTrue(Vec_col.L2Norm() == 0.0, String.Format("L2Norm neq 0!"));
}
public static void SubMatrixExtractionWithCoupling(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.diagonal, MatrixShape.diagonal_var, MatrixShape.full_spec, MatrixShape.full_var_spec)] MatrixShape MShape
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("ExtractSubMatrixAndIgnoreCoupling({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[] coup = Utils.SetCoupling(MShape);
//Arrange --- some time measurement
Stopwatch stw = new Stopwatch();
stw.Reset();
//Act --- establish submatrix
stw.Start();
//var Ones = M.CloneAs();
//Ones.Clear();
//Ones.SetAll(1);
//var extractOnes = mask.GetSubBlockMatrix(Ones, false, coup[0], coup[1]);
var Mext = mask.GetSubBlockMatrix(M, false, coup[0], coup[1]);
stw.Stop();
var Mquad = M.ConvertToQuadraticBMsr(mask.GlobalIList_Internal.ToArray(), true);
Mext.Acc(-1.0, Mquad);
//Assert --- Mext conains only diagonal blocks of M
Assert.IsTrue(Mext.InfNorm() == 0);
}
public static void SetDefaultSplitSelection(this SubBlockSelector sbs, MatrixShape shape, bool upper, bool islocal = true)
{
switch (shape)
{
case MatrixShape.diagonal:
case MatrixShape.full:
sbs.DefaultCellSplit(upper, islocal);
break;
case MatrixShape.diagonal_var:
case MatrixShape.full_var:
sbs.DefaultSpeciesSplit(upper);
if (!islocal)
{
sbs.AllExternalCellsSelection();
}
break;
case MatrixShape.diagonal_spec:
case MatrixShape.full_spec:
sbs.DefaultVarSplit(upper);
if (!islocal)
{
sbs.AllExternalCellsSelection();
}
break;
case MatrixShape.diagonal_var_spec:
case MatrixShape.full_var_spec:
sbs.DefaultCellSplit(upper, islocal);
break;
default:
throw new NotSupportedException(String.Format("{0} is not supported by this test", shape));
}
}
public static MultigridOperator CreateTestMGOperator(out double[] Vec, XDGusage UseXdg = XDGusage.none, int DGOrder = 2, MatrixShape MShape = MatrixShape.full, int Resolution = 4)
{
MultigridOperator retMGOp;
using (var solver = new SubBlockTestSolver2Var()
{
m_UseXdg = UseXdg, m_DGorder = DGOrder, m_Mshape = MShape, m_Res = Resolution
}) {
solver.Init(null);
solver.RunSolverMode();
retMGOp = solver.MGOp;
Vec = solver.someVec;
}
return(retMGOp);
}
public static MultigridOperator CreateTestMGOperator(XDGusage UseXdg = XDGusage.none, int DGOrder = 2, MatrixShape MShape = MatrixShape.full, int Resolution = 4)
{
return(CreateTestMGOperator(out double[] Vec, UseXdg, DGOrder, MShape, Resolution));
}
public static MultigridOperator CreateTestMGOperator(out AggregationGridData[] MGSeq, XDGusage UseXdg = XDGusage.all, int DGOrder = 2, MatrixShape MShape = MatrixShape.laplace, int Resolution = 4)
{
MultigridOperator retMGOp;
using (var solver = new SubBlockTestSolver2Var()
{
m_UseXdg = UseXdg, m_DGorder = DGOrder, m_Mshape = MShape, m_Res = Resolution
}) {
solver.Init(null);
solver.RunSolverMode();
retMGOp = solver.MGOp;
MGSeq = solver.MgSeq;
}
return(retMGOp);
}
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?
}
public static void FastSubMatrixExtraction(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.laplace)] MatrixShape MShape,
[Values(4)] int Res
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("FastSubMatrixExtraction({0},{1},{2})", UseXdg, DGOrder, MShape);
//Arrange ---
MultigridOperator mgo = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape, Res);
MultigridMapping map = mgo.Mapping;
BlockMsrMatrix M = mgo.OperatorMatrix;
var sbs = new SubBlockSelector(map);
int[] extcells = sbs.AllExternalCellsSelection();
var M_ext = BlockMask.GetAllExternalRows(map, M);
var mask = new BlockMask(sbs, M_ext);
//Arrange --- get index list of all external cells
int[] idc = Utils.GetAllExtCellIdc(map);
double[] GlobIdx = idc.Count().ForLoop(i => (double)idc[i] + 1.0);
//Arrange --- stopwatch
var stw = new Stopwatch();
stw.Reset();
//Act --- Extract SubMatrix
stw.Start();
BlockMsrMatrix subM = mask.GetSubBlockMatrix(M);
stw.Stop();
//Arrange --- Extract Blocks in Matlab and substract
var infNorm = MultidimensionalArray.Create(4, 1);
int rank = map.MpiRank;
using (BatchmodeConnector matlab = new BatchmodeConnector()) {
matlab.PutSparseMatrix(M, "M");
// note: M_sub lives on Comm_Self, therefore we have to distinguish between procs ...
matlab.PutSparseMatrixRankExclusive(subM, "M_sub");
matlab.PutVectorRankExclusive(GlobIdx, "Idx");
matlab.Cmd("M_0 = M(Idx_0, Idx_0);");
matlab.Cmd("M_1 = M(Idx_1, Idx_1);");
matlab.Cmd("M_2 = M(Idx_2, Idx_2);");
matlab.Cmd("M_3 = M(Idx_3, Idx_3);");
matlab.Cmd("n=[0; 0; 0; 0];");
matlab.Cmd("n(1,1)=norm(M_0-M_sub_0,inf);");
matlab.Cmd("n(2,1)=norm(M_1-M_sub_1,inf);");
matlab.Cmd("n(3,1)=norm(M_2-M_sub_2,inf);");
matlab.Cmd("n(4,1)=norm(M_3-M_sub_3,inf);");
matlab.GetMatrix(infNorm, "n");
matlab.Execute();
}
//Assert --- mask blocks and extracted blocks are the same
Assert.IsTrue(infNorm[rank, 0] == 0.0);
}
public static void VectorCellwiseOperation(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.diagonal_var_spec, MatrixShape.diagonal_spec, MatrixShape.diagonal_var, MatrixShape.diagonal)] MatrixShape MShape,
[Values(4)] int Res
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("SubMatrixIgnoreCoupling({0},{1},{2})", UseXdg, DGOrder, MShape);
//Arrange --- create test matrix, MG mapping
MultigridOperator mgo = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape, Res);
MultigridMapping map = mgo.Mapping;
BlockMsrMatrix M = mgo.OperatorMatrix;
//Arrange --- masking and subblock extraction of external cells
var sbs = new SubBlockSelector(map);
sbs.AllExternalCellsSelection();
var M_ext = BlockMask.GetAllExternalRows(map, M);
var mask = new BlockMask(sbs, M_ext);
var eblocks = mask.GetDiagonalBlocks(M, false, false);
//Dictionary<int, int[]> Didc = Utils.GetDictOfAllExtCellIdc(map);
//Arrange --- generate rnd vector and distribute it
double[] vec = new double[map.LocalLength];
vec = Utils.GetRandomVector(map.LocalLength);
var vec_ex = new MPIexchange <double[]>(map, vec);
vec_ex.TransceiveStartImReturn();
vec_ex.TransceiveFinish(0.0);
Debug.Assert(vec_ex.Vector_Ext.L2Norm() != 0);
//Arrange --- stopwatch
var stw = new Stopwatch();
stw.Reset();
//Arrange --- get extended (loc+external cells) vector
double[] Vec_ext = new double[vec.Length + vec_ex.Vector_Ext.Length];
mask.AccSubVec(vec_ex.Vector_Ext, Vec_ext);
bool test = eblocks.Length.MPIEquals();
Debug.Assert(test);
//Act --- calculate blockwise result: M_i*vec_i=Res_i
double[] Res_ext = new double[Vec_ext.Length];
stw.Start();
for (int i = 0; i < eblocks.Length; i++)
{
//int iBlock = i + map.AggGrid.iLogicalCells.NoOfLocalUpdatedCells;
double[] vec_i = mask.GetSubVecOfCell(Vec_ext, i);
double[] Res_i = new double[vec_i.Length];
eblocks[i].MatVecMul(1.0, vec_i, 0.0, Res_i);
mask.AccSubVecOfCell(Res_i, i, Res_ext);
if (map.MpiRank == 0)
{
eblocks[i].ConvertToMsr().SaveToTextFileSparseDebug(String.Format("block_{0}_{1}", i, map.MpiRank));
vec_i.SaveToTextFileDebug(String.Format("vec_{0}_{1}", i, map.MpiRank));
Res_i.SaveToTextFileDebug(String.Format("Res_{0}_{1}", i, map.MpiRank));
}
}
stw.Stop();
//Act --- project Res_i onto Res_g and Res_g=M_ext*vec_ext-Res_g
double[] Res_g = mask.GetSubVec(Res_ext);
var qM_ext = M_ext.ConvertToQuadraticBMsr(mask.GlobalIList_External.ToArray(), false);
qM_ext.SpMV(1.0, vec_ex.Vector_Ext, -1.0, Res_g);
if (map.MpiRank == 0)
{
vec_ex.Vector_Ext.SaveToTextFileDebug("vec_g");
Res_g.SaveToTextFileDebug("Res_g");
M_ext.SaveToTextFileSparseDebug("M_ext");
qM_ext.SaveToTextFileSparseDebug("qM_ext");
}
//Assert --- |Res_g| should be at least near to zero
Assert.IsTrue(Res_g.L2Norm() == 0.0);
}
public static void SubBlockExtraction(
[Values(XDGusage.none, XDGusage.all)] XDGusage UseXdg,
[Values(2)] int DGOrder,
[Values(MatrixShape.diagonal_var_spec, MatrixShape.diagonal_spec, MatrixShape.diagonal_var, MatrixShape.diagonal)] MatrixShape MShape,
[Values(4)] int Res
)
{
Utils.TestInit((int)UseXdg, DGOrder, (int)MShape);
Console.WriteLine("SubMatrixIgnoreCoupling({0},{1},{2})", UseXdg, DGOrder, MShape);
//Arrange --- create test matrix and MG mapping
MultigridOperator mgo = Utils.CreateTestMGOperator(UseXdg, DGOrder, MShape, Res);
MultigridMapping map = mgo.Mapping;
BlockMsrMatrix M = mgo.OperatorMatrix;
//Arrange --- masking of all external cells
var sbs = new SubBlockSelector(map);
sbs.AllExternalCellsSelection();
var M_ext = BlockMask.GetAllExternalRows(map, M);
var mask = new BlockMask(sbs, M_ext);
//bool[] coup = Utils.SetCoupling(MShape);
//Arrange --- get index dictonary of all external cell indices
Dictionary <int, int[]> Didc = Utils.GetDictOfAllExtCellIdc(map);
//Arrange --- stopwatch
var stw = new Stopwatch();
stw.Reset();
//Act --- Extract subblocks
stw.Start();
//var eblocks = mask.GetSubBlocks(M,coup[0],coup[1],coup[2]);
var eblocks = mask.GetDiagonalBlocks(M, false, false);
stw.Stop();
//Assert --- same number of blocks?
Assert.IsTrue(eblocks.Length == M_ext._RowPartitioning.LocalNoOfBlocks);
bool test = eblocks.Length.MPIEquals();
Debug.Assert(test);
for (int iBlock = 0; iBlock < eblocks.Length; iBlock++)
{
var infNorm = MultidimensionalArray.Create(4, 1);
int rank = map.MpiRank;
int ExtBlockIdx = iBlock + map.AggGrid.iLogicalCells.NoOfLocalUpdatedCells;
Didc.TryGetValue(ExtBlockIdx, out int[] idc);
using (BatchmodeConnector matlab = new BatchmodeConnector()) {
double[] GlobIdx = idc.Count().ForLoop(i => (double)idc[i] + 1.0);
Assert.IsTrue(GlobIdx.Length == eblocks[iBlock].Lengths[0]);
MsrMatrix M_sub = eblocks[iBlock].ConvertToMsr();
matlab.PutSparseMatrix(M, "M");
// note: M_sub lives on Comm_Self, therefore we have to distinguish between procs ...
matlab.PutSparseMatrixRankExclusive(M_sub, "M_sub");
matlab.PutVectorRankExclusive(GlobIdx, "Idx");
matlab.Cmd("M_0 = full(M(Idx_0, Idx_0));");
matlab.Cmd("M_1 = full(M(Idx_1, Idx_1));");
matlab.Cmd("M_2 = full(M(Idx_2, Idx_2));");
matlab.Cmd("M_3 = full(M(Idx_3, Idx_3));");
matlab.Cmd("n=[0; 0; 0; 0];");
matlab.Cmd("n(1,1)=norm(M_0-M_sub_0,inf);");
matlab.Cmd("n(2,1)=norm(M_1-M_sub_1,inf);");
matlab.Cmd("n(3,1)=norm(M_2-M_sub_2,inf);");
matlab.Cmd("n(4,1)=norm(M_3-M_sub_3,inf);");
matlab.GetMatrix(infNorm, "n");
matlab.Execute();
}
Assert.IsTrue(infNorm[rank, 0] == 0.0); //
}
}