예제 #1
0
void GLReplay::RenderHighlightBox(float w, float h, float scale)
{
	MakeCurrentReplayContext(m_DebugCtx);
	
	const float xpixdim = 2.0f/w;
	const float ypixdim = 2.0f/h;
	
	const float xdim = scale*xpixdim;
	const float ydim = scale*ypixdim;

	WrappedOpenGL &gl = *m_pDriver;
	
	gl.glUseProgram(DebugData.genericProg);

	GLint offsetLoc = gl.glGetUniformLocation(DebugData.genericProg, "RENDERDOC_GenericVS_Offset");
	GLint scaleLoc = gl.glGetUniformLocation(DebugData.genericProg, "RENDERDOC_GenericVS_Scale");
	GLint colLoc = gl.glGetUniformLocation(DebugData.genericProg, "RENDERDOC_GenericFS_Color");
	
	Vec4f offsetVal(0.0f, 0.0f, 0.0f, 0.0f);
	Vec4f scaleVal(xdim, ydim, 1.0f, 1.0f);
	Vec4f colVal(1.0f, 1.0f, 1.0f, 1.0f);

	gl.glUniform4fv(offsetLoc, 1, &offsetVal.x);
	gl.glUniform4fv(scaleLoc, 1, &scaleVal.x);
	gl.glUniform4fv(colLoc, 1, &colVal.x);
	
	gl.glBindVertexArray(DebugData.outlineStripVAO);
	gl.glDrawArrays(eGL_LINE_LOOP, 0, 4);

	offsetVal = Vec4f(-xpixdim, ypixdim, 0.0f, 0.0f);
	scaleVal = Vec4f(xdim+xpixdim*2, ydim+ypixdim*2, 1.0f, 1.0f);
	colVal = Vec4f(0.0f, 0.0f, 0.0f, 1.0f);
	
	gl.glUniform4fv(offsetLoc, 1, &offsetVal.x);
	gl.glUniform4fv(scaleLoc, 1, &scaleVal.x);
	gl.glUniform4fv(colLoc, 1, &colVal.x);

	gl.glBindVertexArray(DebugData.outlineStripVAO);
	gl.glDrawArrays(eGL_LINE_LOOP, 0, 4);
}
예제 #2
0
double Ifpack_FrobeniusNorm(const Epetra_RowMatrix& A)
{
  double MyNorm = 0.0, GlobalNorm;

  std::vector<int> colInd(A.MaxNumEntries());
  std::vector<double> colVal(A.MaxNumEntries());

  for (int i = 0 ; i < A.NumMyRows() ; ++i) {

    int Nnz;
    IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                      &colVal[0],&colInd[0]));

    for (int j = 0 ; j < Nnz ; ++j) {
      MyNorm += colVal[j] * colVal[j];
    }
  }

  A.Comm().SumAll(&MyNorm,&GlobalNorm,1);

  return(sqrt(GlobalNorm));
}
// ============================================================================
int ML_Epetra::MultiLevelPreconditioner::
CreateAuxiliaryMatrixCrs(Epetra_FECrsMatrix* &FakeMatrix)
{

  int NumMyRows = RowMatrix_->NumMyRows();

  const Epetra_Map& RowMap = RowMatrix_->RowMatrixRowMap();
  const Epetra_Map& ColMap = RowMatrix_->RowMatrixColMap();
  FakeMatrix = new Epetra_FECrsMatrix(Copy,RowMap,
				      2*RowMatrix_->MaxNumEntries());

  if (FakeMatrix == 0)
    ML_CHK_ERR(-1); // something went wrong

  int NumDimensions = 0;

  double* x_coord = List_.get("x-coordinates", (double *)0);
  if (x_coord != 0) ++NumDimensions;

  // at least x-coordinates must be not null
  if( NumDimensions == 0 ) {
    std::cerr << ErrorMsg_ << "Option `aggregation: use auxiliary matrix' == true" << std::endl
         << ErrorMsg_ << "requires x-, y-, or z-coordinates." << std::endl
         << ErrorMsg_ << "You must specify them using options" << std::endl
         << ErrorMsg_ << "`x-coordinates' (and equivalently for" << std::endl
         << ErrorMsg_ << "y- and z-." << std::endl;
    ML_CHK_ERR(-2); // wrong parameters
  }

  double* y_coord = List_.get("y-coordinates", (double *)0);
  if (y_coord != 0) ++NumDimensions;

  double* z_coord = List_.get("z-coordinates", (double *)0);
  if (z_coord != 0) ++NumDimensions;

  // small check to avoid strange behavior
  if( z_coord != 0 && y_coord == 0 ) {
    std::cerr << ErrorMsg_ << "Something wrong: `y-coordinates'" << std::endl
         << ErrorMsg_ << "is null, while `z-coordinates' is null" << std::endl;
    ML_CHK_ERR(-3); // something went wrong
  }

  double theta = List_.get("aggregation: theta",0.0);

  bool SymmetricPattern = List_.get("aggregation: use symmetric pattern",false);

  // usual crap to clutter the output
  if( verbose_ ) {
    std::cout << std::endl;
    std::cout << PrintMsg_ << "*** Using auxiliary matrix to create the aggregates" << std::endl
         << PrintMsg_ << "*** Number of dimensions = " << NumDimensions << std::endl
         << PrintMsg_ << "*** theta = " << theta;
    if( SymmetricPattern ) std::cout << ", using symmetric pattern" << std::endl;
    else                   std::cout << ", using original pattern" << std::endl;
    std::cout << std::endl;
  }

  // create vectors containing coordinates, replicated for all unknonws
  // FIXME: I don't really need Z in all cases
  // for west
  // I am over-allocating, for large number of equations per node
  // this is not optimal. However, it is a only-once importing
  // of some more data. It should harm too much...
  //
  // The following will work for constant number of equations per
  // node only. The fix should be easy, though.
  Epetra_Vector RowX(RowMap); RowX.PutScalar(0.0);
  Epetra_Vector RowY(RowMap); RowY.PutScalar(0.0);
  Epetra_Vector RowZ(RowMap); RowZ.PutScalar(0.0);

  for (int i = 0 ; i < NumMyRows ; i += NumPDEEqns_) {
    RowX[i] = x_coord[i / NumPDEEqns_];
    if (NumDimensions > 1) RowY[i] = y_coord[i / NumPDEEqns_];
    if (NumDimensions > 2) RowZ[i] = z_coord[i / NumPDEEqns_];
  }

  // create vectors containing coordinates for columns
  // (this is useful only if MIS/ParMETIS are used)
  Epetra_Vector ColX(ColMap); ColX.PutScalar(0.0);
  Epetra_Vector ColY(ColMap); ColY.PutScalar(0.0);
  Epetra_Vector ColZ(ColMap); ColZ.PutScalar(0.0);

  // get coordinates for non-local nodes (in column map)
  Epetra_Import Importer(ColMap,RowMap);
  ColX.Import(RowX,Importer,Insert);
  if (NumDimensions > 1) ColY.Import(RowY,Importer,Insert);
  if (NumDimensions > 2) ColZ.Import(RowZ,Importer,Insert);

  // global row and column numbering
  int* MyGlobalRowElements = RowMap.MyGlobalElements();
  int* MyGlobalColElements = ColMap.MyGlobalElements();

  // room for getrow()
  int MaxNnz = RowMatrix_->MaxNumEntries();
  std::vector<int> colInd(MaxNnz);
  std::vector<double> colVal(MaxNnz);
  std::vector<double> coord_i(3);
  std::vector<double> coord_j(3);

  // =================== //
  // cycle over all rows //
  // =================== //

  for (int i = 0; i < NumMyRows ; i += NumPDEEqns_) {

    int GlobalRow = MyGlobalRowElements[i];

    if( i%NumPDEEqns_ == 0 ) { // do it just once for each block row
      switch( NumDimensions ) {
      case 3:
	coord_i[2] = RowZ[i];
      case 2:
	coord_i[1] = RowY[i];
      case 1:
	coord_i[0] = RowX[i];

      }

      int NumEntries;
      ML_CHK_ERR(RowMatrix_->ExtractMyRowCopy(i,MaxNnz,NumEntries,
                                              &colVal[0],&colInd[0]));

      // NOTE: for VBR matrices, the "real" value that will be used in
      // the subsequent part of the code is only the one for the first
      // equations. For each block, I replace values with the sum of
      // the std::abs of each block entry.
      for (int j = 0 ; j < NumEntries ; j += NumPDEEqns_) {
	colVal[j] = std::fabs(colVal[j]);
	for (int k = 1 ; k < NumPDEEqns_ ; ++k) {
	  colVal[j] += std::fabs(colVal[j+k]);
	}
      }

      // work only on the first equations. Theta will blend the
      // coordinate part with the sub of std::abs of row elements.
      int GlobalCol;
      double total = 0.0;

      for (int j = 0 ; j < NumEntries ; j += NumPDEEqns_) {

        if (colInd[j] >= NumMyRows)
          continue;

	if (colInd[j]%NumPDEEqns_ == 0) {

	  // insert diagonal later
	  if (colInd[j] != i) {

	    // get coordinates of this node
	    switch (NumDimensions) {
	    case 3:
	      coord_j[2] = ColZ[colInd[j]];
	    case 2:
	      coord_j[1] = ColY[colInd[j]];
	    case 1:
	      coord_j[0] = ColX[colInd[j]];
	    }

	    // d2 is the square of the distance between node `i' and
	    // node `j'
	    double d2 = (coord_i[0] - coord_j[0]) * (coord_i[0] - coord_j[0]) +
	      (coord_i[1] - coord_j[1]) * (coord_i[1] - coord_j[1]) +
	      (coord_i[2] - coord_j[2]) * (coord_i[2] - coord_j[2]);

	    if (d2 == 0.0) {
	      std::cerr << std::endl;
	      std::cerr << ErrorMsg_ << "distance between node " << i/NumPDEEqns_ << " and node "
                   << colInd[j]/NumPDEEqns_ << std::endl
                   << ErrorMsg_ << "is zero. Coordinates of these nodes are" << std::endl
	           << ErrorMsg_ << "x_i = " << coord_i[0] << ", x_j = " << coord_j[0] << std::endl
		   << ErrorMsg_ << "y_i = " << coord_i[1] << ", y_j = " << coord_j[1] << std::endl
		   << ErrorMsg_ << "z_i = " << coord_i[2] << ", z_j = " << coord_j[2] << std::endl
		   << ErrorMsg_ << "Now proceeding with distance = 1.0" << std::endl;
	      std::cerr << std::endl;
	      d2 = 1.0;
	    }

	    // blend d2 with the actual values of the matrix
	    // FIXME: am I useful?
	    double val = -(1.0 - theta) * (1.0 / d2) + theta * (colVal[j]);

	    GlobalCol = MyGlobalColElements[colInd[j]];

	    // insert this value on all rows
	    for (int k = 0 ; k < NumPDEEqns_ ; ++k) {
	      int row = GlobalRow + k;
	      int col = GlobalCol + k;

	      if (FakeMatrix->SumIntoGlobalValues(1,&row,1,&col,&val) != 0) {
		ML_CHK_ERR(FakeMatrix->InsertGlobalValues(1,&row,1,&col,&val));
	      }

	    }

	    total -= val;

	    // put (j,i) element as well, only for in-process stuff.
	    // I have some problems with off-processor elements.
            // It is here that I need the FE matrix.
	    if (SymmetricPattern == true && colInd[j] < NumMyRows ) {

	      for( int k=0 ; k<NumPDEEqns_ ; ++k ) {
		int row = GlobalCol+k;
		int col = GlobalRow+k;

		if( FakeMatrix->SumIntoGlobalValues(1,&row,1,&col,&val) != 0 ) {
		  ML_CHK_ERR(FakeMatrix->InsertGlobalValues(1,&row,1,&col,&val));
		}

	      }
	      total -= val;
	    }
	  }
	}
      }

      // create lines with zero-row sum
      for (int k = 0 ; k < NumPDEEqns_ ; ++k) {
	int row = GlobalRow + k;
	if (FakeMatrix->SumIntoGlobalValues(1,&row,1,&row,&total) != 0) {
	  if (FakeMatrix->InsertGlobalValues(1,&row,1,&row,&total) != 0)
	    ML_CHK_ERR(-9); // something went wrong
	}

      }
    }
  }

  if (FakeMatrix->FillComplete())
    ML_CHK_ERR(-5); // something went wrong

  // stick pointer in Amat for level 0 (finest level)
  ml_->Amat[LevelID_[0]].data = (void *)FakeMatrix;

  // tell ML to keep the tentative prolongator
  ML_Aggregate_Set_Reuse(agg_);

  // pray that no bugs will tease us
  return(0);
}
// ============================================================================
int ML_Epetra::MultiLevelPreconditioner::
CreateAuxiliaryMatrixVbr(Epetra_VbrMatrix* &FakeMatrix)
{

  // FakeMatrix has already been created before
  if (FakeMatrix == 0)
    ML_CHK_ERR(-1); // something went wrong

  int NumDimensions = 0;

  double* x_coord = List_.get("x-coordinates", (double *)0);
  if (x_coord != 0) ++NumDimensions;

  // at least x-coordinates must be not null
  if( NumDimensions == 0 ) {
    std::cerr << ErrorMsg_ << "Option `aggregation: use auxiliary matrix' == true" << std::endl
         << ErrorMsg_ << "requires x-, y-, or z-coordinates." << std::endl
         << ErrorMsg_ << "You must specify them using options" << std::endl
         << ErrorMsg_ << "`x-coordinates' (and equivalently for" << std::endl
         << ErrorMsg_ << "y- and z-)." << std::endl;
    ML_CHK_ERR(-2); // wrong parameters
  }

  double* y_coord = List_.get("y-coordinates", (double *)0);
  if (y_coord != 0) ++NumDimensions;

  double* z_coord = List_.get("z-coordinates", (double *)0);
  if (z_coord != 0) ++NumDimensions;

  // small check to avoid strange behavior
  if( z_coord != 0 && y_coord == 0 ) {
    std::cerr << ErrorMsg_ << "Something wrong: `y-coordinates'" << std::endl
         << ErrorMsg_ << "is null, while `z-coordinates' is not null" << std::endl;
    ML_CHK_ERR(-3); // something went wrong
  }

  // usual crap to clutter the output
  if( verbose_ ) {
    std::cout << std::endl;
    std::cout << PrintMsg_ << "*** Using auxiliary matrix to create the aggregates" << std::endl
         << PrintMsg_ << "*** Number of dimensions = " << NumDimensions << std::endl
         << PrintMsg_ << "*** (the version for Epetra_VbrMatrix is currently used)" << std::endl;
    std::cout << std::endl;
  }

  const Epetra_BlockMap& RowMap = FakeMatrix->RowMap();
  const Epetra_BlockMap& ColMap = FakeMatrix->ColMap();
  int NumMyRowElements = RowMap.NumMyElements();
  int NumMyColElements = ColMap.NumMyElements();
  int* MyGlobalRowElements = RowMap.MyGlobalElements();
  int* MyGlobalColElements = ColMap.MyGlobalElements();

  // use point map to exchange coordinates
  Epetra_Map PointRowMap(-1,NumMyRowElements,MyGlobalRowElements,0,Comm());
  Epetra_Map PointColMap(-1,NumMyColElements,MyGlobalColElements,0,Comm());

  Epetra_Vector RowX(PointRowMap);
  Epetra_Vector RowY(PointRowMap);
  Epetra_Vector RowZ(PointRowMap);

  for (int i = 0 ; i < NumMyRowElements ; ++i) {
    RowX[i] = x_coord[i];
    if (NumDimensions > 1) RowY[i] = y_coord[i];
    if (NumDimensions > 2) RowZ[i] = z_coord[i];
  }

  // create vectors containing coordinates for columns
  // (this is useful only if MIS/ParMETIS are used)
  Epetra_Vector ColX(PointColMap);
  Epetra_Vector ColY(PointColMap);
  Epetra_Vector ColZ(PointColMap);

  // get coordinates for non-local nodes (in column map)
  Epetra_Import Importer(PointColMap,PointRowMap);
  ColX.Import(RowX,Importer,Insert);
  if (NumDimensions > 1) ColY.Import(RowY,Importer,Insert);
  if (NumDimensions > 2) ColZ.Import(RowZ,Importer,Insert);

  // room for getrow()
  int MaxNnz = FakeMatrix->MaxNumEntries();
  std::vector<int> colInd(MaxNnz);
  std::vector<double> colVal(MaxNnz);
  std::vector<double> coord_i(3);
  std::vector<double> coord_j(3);

  // change the entries of FakeMatrix so that it corresponds to a discrete
  // Laplacian. Note: This is not exactly the same as in the Crs case.

  FakeMatrix->PutScalar(0.0);

  for (int LocalRow = 0; LocalRow < NumMyRowElements ; ++LocalRow) {

    int RowDim, NumBlockEntries;
    int* BlockIndices;
    Epetra_SerialDenseMatrix** RowValues;

    switch (NumDimensions) {
    case 3:
      coord_i[2] = RowZ[LocalRow];
    case 2:
      coord_i[1] = RowY[LocalRow];
    case 1:
      coord_i[0] = RowX[LocalRow];
    }

    FakeMatrix->ExtractMyBlockRowView(LocalRow,RowDim,NumBlockEntries,
                                      BlockIndices,RowValues);

    // accumulator for zero row-sum
    double total = 0.0;

    for (int j = 0 ; j < NumBlockEntries ; ++j) {

      int LocalCol = BlockIndices[j];

      // insert diagonal later
      if (LocalCol != LocalRow) {

        // get coordinates of this node
        switch (NumDimensions) {
        case 3:
          coord_j[2] = ColZ[LocalCol];
        case 2:
          coord_j[1] = ColY[LocalCol];
        case 1:
          coord_j[0] = ColX[LocalCol];
        }

        // d2 is the square of the distance between node `i' and
        // node `j'
        double d2 = (coord_i[0] - coord_j[0]) * (coord_i[0] - coord_j[0]) +
          (coord_i[1] - coord_j[1]) * (coord_i[1] - coord_j[1]) +
          (coord_i[2] - coord_j[2]) * (coord_i[2] - coord_j[2]);

        if (d2 == 0.0) {
          std::cerr << std::endl;
          std::cerr << ErrorMsg_ << "distance between node " << LocalRow << " and node "
            << LocalCol << std::endl
            << ErrorMsg_ << "is zero. Coordinates of these nodes are" << std::endl
            << ErrorMsg_ << "x_i = " << coord_i[0] << ", x_j = " << coord_j[0] << std::endl
            << ErrorMsg_ << "y_i = " << coord_i[1] << ", y_j = " << coord_j[1] << std::endl
            << ErrorMsg_ << "z_i = " << coord_i[2] << ", z_j = " << coord_j[2] << std::endl
            << ErrorMsg_ << "Now proceeding with distance = 1.0" << std::endl;
          std::cerr << std::endl;
          d2 = 1.0;
        }

        for (int k = 0 ; k < RowValues[j]->M() ; ++k) {
          for (int h = 0 ; h < RowValues[j]->N() ; ++h) {
            if (k == h)
              (*RowValues[j])(k,h) = - 1.0 / d2;
          }
        }

        total += 1.0 /d2;

      }
    }

    // check that the diagonal block exists
    bool ok = false;
    int DiagonalBlock = 0;
    for (int j = 0 ; j < NumBlockEntries ; ++j) {
      if (BlockIndices[j] == LocalRow) {
        DiagonalBlock = j;
        ok = true;
        break;
      }
    }
    assert (ok == true);

    for (int k = 0 ; k < RowValues[DiagonalBlock]->N() ; ++k) {
      (*RowValues[DiagonalBlock])(k,k) = total;
    }
  }

  // tell ML to keep the tentative prolongator
  ML_Aggregate_Set_Reuse(agg_);

  // pray that no bugs will tease us
  return(0);
}
예제 #5
0
int Ifpack_AnalyzeMatrixElements(const Epetra_RowMatrix& A,
                                 const bool abs, const int steps)
{

  bool verbose = (A.Comm().MyPID() == 0);
  double min_val =  DBL_MAX;
  double max_val = -DBL_MAX;

  std::vector<int>    colInd(A.MaxNumEntries());
  std::vector<double> colVal(A.MaxNumEntries());

  for (int i = 0 ; i < A.NumMyRows() ; ++i) {

    int Nnz;
    IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                      &colVal[0],&colInd[0]));

    for (int j = 0 ; j < Nnz ; ++j) {
      double v = colVal[j];
      if (abs)
        if (v < 0) v = -v;
      if (v < min_val)
        min_val = v;
      if (v > max_val)
        max_val = v;
    }
  }

  if (verbose) {
    cout << endl;
    Ifpack_PrintLine();
    cout << "Label of matrix = " << A.Label() << endl;
    cout << endl;
  }

  double delta = (max_val - min_val) / steps;
  for (int k = 0 ; k < steps ; ++k) {

    double below = delta * k + min_val;
    double above = below + delta;
    int MyBelow = 0, GlobalBelow;

    for (int i = 0 ; i < A.NumMyRows() ; ++i) {

      int Nnz;
      IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                        &colVal[0],&colInd[0]));

      for (int j = 0 ; j < Nnz ; ++j) {
        double v = colVal[j];
        if (abs)
          if (v < 0) v = -v;
        if (v >= below && v < above) MyBelow++;
      }

    }
    A.Comm().SumAll(&MyBelow, &GlobalBelow, 1);
    if (verbose) {
      printf("Elements in [%+7e, %+7e) = %10d ( = %5.2f %%)\n",
             below, above, GlobalBelow,
             100.0 * GlobalBelow / A.NumGlobalNonzeros64());
    }
  }

  if (verbose) {
    Ifpack_PrintLine();
    cout << endl;
  }

  return(0);
}
예제 #6
0
int Ifpack_Analyze(const Epetra_RowMatrix& A, const bool Cheap,
                   const int NumPDEEqns)
{

  int NumMyRows = A.NumMyRows();
  long long NumGlobalRows = A.NumGlobalRows64();
  long long NumGlobalCols = A.NumGlobalCols64();
  long long MyBandwidth = 0, GlobalBandwidth;
  long long MyLowerNonzeros = 0, MyUpperNonzeros = 0;
  long long GlobalLowerNonzeros, GlobalUpperNonzeros;
  long long MyDiagonallyDominant = 0, GlobalDiagonallyDominant;
  long long MyWeaklyDiagonallyDominant = 0, GlobalWeaklyDiagonallyDominant;
  double MyMin, MyAvg, MyMax;
  double GlobalMin, GlobalAvg, GlobalMax;
  long long GlobalStorage;

  bool verbose = (A.Comm().MyPID() == 0);

  GlobalStorage = sizeof(int*) * NumGlobalRows +
    sizeof(int) * A.NumGlobalNonzeros64() +
    sizeof(double) * A.NumGlobalNonzeros64();

  if (verbose) {
    print();
    Ifpack_PrintLine();
    print<const char*>("Label", A.Label());
    print<long long>("Global rows", NumGlobalRows);
    print<long long>("Global columns", NumGlobalCols);
    print<long long>("Stored nonzeros", A.NumGlobalNonzeros64());
    print<long long>("Nonzeros / row", A.NumGlobalNonzeros64() / NumGlobalRows);
    print<double>("Estimated storage (Mbytes)", 1.0e-6 * GlobalStorage);
  }

  long long NumMyActualNonzeros = 0, NumGlobalActualNonzeros;
  long long NumMyEmptyRows = 0, NumGlobalEmptyRows;
  long long NumMyDirichletRows = 0, NumGlobalDirichletRows;

  std::vector<int> colInd(A.MaxNumEntries());
  std::vector<double> colVal(A.MaxNumEntries());

  Epetra_Vector Diag(A.RowMatrixRowMap());
  Epetra_Vector RowSum(A.RowMatrixRowMap());
  Diag.PutScalar(0.0);
  RowSum.PutScalar(0.0);

  for (int i = 0 ; i < NumMyRows ; ++i) {

    long long GRID = A.RowMatrixRowMap().GID64(i);
    int Nnz;
    IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                      &colVal[0],&colInd[0]));

    if (Nnz == 0)
      NumMyEmptyRows++;

    if (Nnz == 1)
      NumMyDirichletRows++;

    for (int j = 0 ; j < Nnz ; ++j) {

      double v = colVal[j];
      if (v < 0) v = -v;
      if (colVal[j] != 0.0)
        NumMyActualNonzeros++;

      long long GCID = A.RowMatrixColMap().GID64(colInd[j]);

      if (GCID != GRID)
        RowSum[i] += v;
      else
        Diag[i] = v;

      if (GCID < GRID)
        MyLowerNonzeros++;
      else if (GCID > GRID)
        MyUpperNonzeros++;
      long long b = GCID - GRID;
      if (b < 0) b = -b;
      if (b > MyBandwidth)
        MyBandwidth = b;
    }

    if (Diag[i] > RowSum[i])
      MyDiagonallyDominant++;

    if (Diag[i] >= RowSum[i])
      MyWeaklyDiagonallyDominant++;

    RowSum[i] += Diag[i];
  }

  // ======================== //
  // summing up global values //
  // ======================== //

  A.Comm().SumAll(&MyDiagonallyDominant,&GlobalDiagonallyDominant,1);
  A.Comm().SumAll(&MyWeaklyDiagonallyDominant,&GlobalWeaklyDiagonallyDominant,1);
  A.Comm().SumAll(&NumMyActualNonzeros, &NumGlobalActualNonzeros, 1);
  A.Comm().SumAll(&NumMyEmptyRows, &NumGlobalEmptyRows, 1);
  A.Comm().SumAll(&NumMyDirichletRows, &NumGlobalDirichletRows, 1);
  A.Comm().SumAll(&MyBandwidth, &GlobalBandwidth, 1);
  A.Comm().SumAll(&MyLowerNonzeros, &GlobalLowerNonzeros, 1);
  A.Comm().SumAll(&MyUpperNonzeros, &GlobalUpperNonzeros, 1);
  A.Comm().SumAll(&MyDiagonallyDominant, &GlobalDiagonallyDominant, 1);
  A.Comm().SumAll(&MyWeaklyDiagonallyDominant, &GlobalWeaklyDiagonallyDominant, 1);

  double NormOne = A.NormOne();
  double NormInf = A.NormInf();
  double NormF   = Ifpack_FrobeniusNorm(A);

  if (verbose) {
    print();
    print<long long>("Actual nonzeros", NumGlobalActualNonzeros);
    print<long long>("Nonzeros in strict lower part", GlobalLowerNonzeros);
    print<long long>("Nonzeros in strict upper part", GlobalUpperNonzeros);
    print();
    print<long long>("Empty rows", NumGlobalEmptyRows,
               100.0 * NumGlobalEmptyRows / NumGlobalRows);
    print<long long>("Dirichlet rows", NumGlobalDirichletRows,
               100.0 * NumGlobalDirichletRows / NumGlobalRows);
    print<long long>("Diagonally dominant rows", GlobalDiagonallyDominant,
               100.0 * GlobalDiagonallyDominant / NumGlobalRows);
    print<long long>("Weakly diag. dominant rows",
               GlobalWeaklyDiagonallyDominant,
               100.0 * GlobalWeaklyDiagonallyDominant / NumGlobalRows);
    print();
    print<long long>("Maximum bandwidth", GlobalBandwidth);

    print();
    print("", "one-norm", "inf-norm", "Frobenius", false);
    print("", "========", "========", "=========", false);
    print();

    print<double>("A", NormOne, NormInf, NormF);
  }

  if (Cheap == false) {

    // create A + A^T and A - A^T

    Epetra_FECrsMatrix AplusAT(Copy, A.RowMatrixRowMap(), 0);
    Epetra_FECrsMatrix AminusAT(Copy, A.RowMatrixRowMap(), 0);

#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
    if(A.RowMatrixRowMap().GlobalIndicesInt()) {
      for (int i = 0 ; i < NumMyRows ; ++i) {

        int GRID = A.RowMatrixRowMap().GID(i);
        assert (GRID != -1);

        int Nnz;
        IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                          &colVal[0],&colInd[0]));

        for (int j = 0 ; j < Nnz ; ++j) {

          int GCID         = A.RowMatrixColMap().GID(colInd[j]);
          assert (GCID != -1);

          double plus_val  = colVal[j];
          double minus_val = -colVal[j];

          if (AplusAT.SumIntoGlobalValues(1,&GRID,1,&GCID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AplusAT.InsertGlobalValues(1,&GRID,1,&GCID,&plus_val));
          }

          if (AplusAT.SumIntoGlobalValues(1,&GCID,1,&GRID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AplusAT.InsertGlobalValues(1,&GCID,1,&GRID,&plus_val));
          }

          if (AminusAT.SumIntoGlobalValues(1,&GRID,1,&GCID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AminusAT.InsertGlobalValues(1,&GRID,1,&GCID,&plus_val));
          }

          if (AminusAT.SumIntoGlobalValues(1,&GCID,1,&GRID,&minus_val) != 0) {
            IFPACK_CHK_ERR(AminusAT.InsertGlobalValues(1,&GCID,1,&GRID,&minus_val));
          }

        }
      }
    }
        else
#endif
#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
    if(A.RowMatrixRowMap().GlobalIndicesLongLong()) {
      for (int i = 0 ; i < NumMyRows ; ++i) {

        long long GRID = A.RowMatrixRowMap().GID64(i);
        assert (GRID != -1);

        int Nnz;
        IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                          &colVal[0],&colInd[0]));

        for (int j = 0 ; j < Nnz ; ++j) {

          long long GCID         = A.RowMatrixColMap().GID64(colInd[j]);
          assert (GCID != -1);

          double plus_val  = colVal[j];
          double minus_val = -colVal[j];

          if (AplusAT.SumIntoGlobalValues(1,&GRID,1,&GCID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AplusAT.InsertGlobalValues(1,&GRID,1,&GCID,&plus_val));
          }

          if (AplusAT.SumIntoGlobalValues(1,&GCID,1,&GRID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AplusAT.InsertGlobalValues(1,&GCID,1,&GRID,&plus_val));
          }

          if (AminusAT.SumIntoGlobalValues(1,&GRID,1,&GCID,&plus_val) != 0) {
            IFPACK_CHK_ERR(AminusAT.InsertGlobalValues(1,&GRID,1,&GCID,&plus_val));
          }

          if (AminusAT.SumIntoGlobalValues(1,&GCID,1,&GRID,&minus_val) != 0) {
            IFPACK_CHK_ERR(AminusAT.InsertGlobalValues(1,&GCID,1,&GRID,&minus_val));
          }

        }
      }
        }
        else
#endif
      throw "Ifpack_Analyze: GlobalIndices type unknown";

    AplusAT.FillComplete();
    AminusAT.FillComplete();

    AplusAT.Scale(0.5);
    AminusAT.Scale(0.5);

    NormOne = AplusAT.NormOne();
    NormInf = AplusAT.NormInf();
    NormF   = Ifpack_FrobeniusNorm(AplusAT);

    if (verbose) {
      print<double>("A + A^T", NormOne, NormInf, NormF);
    }

    NormOne = AminusAT.NormOne();
    NormInf = AminusAT.NormInf();
    NormF   = Ifpack_FrobeniusNorm(AminusAT);

    if (verbose) {
      print<double>("A - A^T", NormOne, NormInf, NormF);
    }
  }

  if (verbose) {
    print();
    print<const char*>("", "min", "avg", "max", false);
    print<const char*>("", "===", "===", "===", false);
  }

  MyMax = -DBL_MAX;
  MyMin = DBL_MAX;
  MyAvg = 0.0;

  for (int i = 0 ; i < NumMyRows ; ++i) {

    int Nnz;
    IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                      &colVal[0],&colInd[0]));

    for (int j = 0 ; j < Nnz ; ++j) {
      MyAvg += colVal[j];
      if (colVal[j] > MyMax) MyMax = colVal[j];
      if (colVal[j] < MyMin) MyMin = colVal[j];
    }
  }

  A.Comm().MaxAll(&MyMax, &GlobalMax, 1);
  A.Comm().MinAll(&MyMin, &GlobalMin, 1);
  A.Comm().SumAll(&MyAvg, &GlobalAvg, 1);
  GlobalAvg /= A.NumGlobalNonzeros64();

  if (verbose) {
    print();
    print<double>(" A(i,j)", GlobalMin, GlobalAvg, GlobalMax);
  }

  MyMax = 0.0;
  MyMin = DBL_MAX;
  MyAvg = 0.0;

  for (int i = 0 ; i < NumMyRows ; ++i) {

    int Nnz;
    IFPACK_CHK_ERR(A.ExtractMyRowCopy(i,A.MaxNumEntries(),Nnz,
                                      &colVal[0],&colInd[0]));

    for (int j = 0 ; j < Nnz ; ++j) {
      double v = colVal[j];
      if (v < 0) v = -v;
      MyAvg += v;
      if (colVal[j] > MyMax) MyMax = v;
      if (colVal[j] < MyMin) MyMin = v;
    }
  }

  A.Comm().MaxAll(&MyMax, &GlobalMax, 1);
  A.Comm().MinAll(&MyMin, &GlobalMin, 1);
  A.Comm().SumAll(&MyAvg, &GlobalAvg, 1);
  GlobalAvg /= A.NumGlobalNonzeros64();

  if (verbose) {
    print<double>("|A(i,j)|", GlobalMin, GlobalAvg, GlobalMax);
  }

  // ================= //
  // diagonal elements //
  // ================= //

  Diag.MinValue(&GlobalMin);
  Diag.MaxValue(&GlobalMax);
  Diag.MeanValue(&GlobalAvg);

  if (verbose) {
    print();
    print<double>(" A(k,k)", GlobalMin, GlobalAvg, GlobalMax);
  }

  Diag.Abs(Diag);
  Diag.MinValue(&GlobalMin);
  Diag.MaxValue(&GlobalMax);
  Diag.MeanValue(&GlobalAvg);
  if (verbose) {
    print<double>("|A(k,k)|", GlobalMin, GlobalAvg, GlobalMax);
  }

  // ============================================== //
  // cycle over all equations for diagonal elements //
  // ============================================== //

  if (NumPDEEqns > 1 ) {

    if (verbose) print();

    for (int ie = 0 ; ie < NumPDEEqns ; ie++) {

      MyMin = DBL_MAX;
      MyMax = -DBL_MAX;
      MyAvg = 0.0;

      for (int i = ie ; i < Diag.MyLength() ; i += NumPDEEqns) {
        double d = Diag[i];
        MyAvg += d;
        if (d < MyMin)
          MyMin = d;
        if (d > MyMax)
          MyMax = d;
      }
      A.Comm().MinAll(&MyMin, &GlobalMin, 1);
      A.Comm().MaxAll(&MyMax, &GlobalMax, 1);
      A.Comm().SumAll(&MyAvg, &GlobalAvg, 1);
      // does not really work fine if the number of global
      // elements is not a multiple of NumPDEEqns
          GlobalAvg /= (Diag.GlobalLength64() / NumPDEEqns);

      if (verbose) {
        char str[80];
        sprintf(str, " A(k,k), eq %d", ie);
        print<double>(str, GlobalMin, GlobalAvg, GlobalMax);
      }
    }
  }

  // ======== //
  // row sums //
  // ======== //

  RowSum.MinValue(&GlobalMin);
  RowSum.MaxValue(&GlobalMax);
  RowSum.MeanValue(&GlobalAvg);

  if (verbose) {
    print();
    print<double>(" sum_j A(k,j)", GlobalMin, GlobalAvg, GlobalMax);
  }

  // ===================================== //
  // cycle over all equations for row sums //
  // ===================================== //

  if (NumPDEEqns > 1 ) {

    if (verbose) print();

    for (int ie = 0 ; ie < NumPDEEqns ; ie++) {

      MyMin = DBL_MAX;
      MyMax = -DBL_MAX;
      MyAvg = 0.0;

      for (int i = ie ; i < Diag.MyLength() ; i += NumPDEEqns) {
        double d = RowSum[i];
        MyAvg += d;
        if (d < MyMin)
          MyMin = d;
        if (d > MyMax)
          MyMax = d;
      }
      A.Comm().MinAll(&MyMin, &GlobalMin, 1);
      A.Comm().MaxAll(&MyMax, &GlobalMax, 1);
      A.Comm().SumAll(&MyAvg, &GlobalAvg, 1);
      // does not really work fine if the number of global
      // elements is not a multiple of NumPDEEqns
          GlobalAvg /= (Diag.GlobalLength64() / NumPDEEqns);

      if (verbose) {
        char str[80];
        sprintf(str, " sum_j A(k,j), eq %d", ie);
        print<double>(str, GlobalMin, GlobalAvg, GlobalMax);
      }
    }
  }

  if (verbose)
    Ifpack_PrintLine();

  return(0);
}
예제 #7
0
// read and set a pixel
TRgb CSurface::ReadPixel(TInt aX, TInt aY)
{
   TRgb colVal(0xFFFFFFFF);
	iDevice->GetPixel(colVal, TPoint(aX,aY));
	return(colVal);
}