test/UseTranspose/cxx_main.cpp

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//
//       Ifpack: Object-Oriented Algebraic Preconditioner Package
//                 Copyright (2002) Sandia Corporation
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#include "Ifpack_ConfigDefs.h"
#ifdef HAVE_MPI
#include "mpi.h"
#include "Epetra_MpiComm.h"
#else
#include "Epetra_SerialComm.h"
#endif
#include "Epetra_Comm.h"
#include "Epetra_Map.h"
#include "Epetra_MultiVector.h"
#include "Epetra_CrsMatrix.h"
#include "Ifpack_ILU.h"
#include "Ifpack_ILUT.h"
#include "Ifpack_AdditiveSchwarz.h"
 
template<class T>
void Test(const std::string what, Epetra_RowMatrix& A)
{
  using std::cout;
  using std::endl;
 
  T Prec(&A);
 
  bool UseTranspose = true;
 
  IFPACK_CHK_ERRV(Prec.Initialize());
  IFPACK_CHK_ERRV(Prec.Compute());
  IFPACK_CHK_ERRV(Prec.SetUseTranspose(UseTranspose));
 
  Epetra_MultiVector LHS_exact(A.OperatorDomainMap(), 2);
  Epetra_MultiVector LHS(A.OperatorDomainMap(), 2);
  Epetra_MultiVector RHS(A.OperatorRangeMap(), 2);
 
  LHS_exact.Random(); LHS.PutScalar(0.0);
 
  A.Multiply(UseTranspose, LHS_exact, RHS);
 
  Prec.ApplyInverse(RHS, LHS);
 
  LHS.Update(1.0, LHS_exact, -1.0);
  double norm[2];
 
  LHS.Norm2(norm);
  norm[0] += norm[1];
 
  if (norm[0] > 1e-5)
  {
    cout << what << ": Test failed: norm = " << norm[0] << endl;
    exit(EXIT_FAILURE);
  }
 
  cout << what << ": Test passed: norm = " << norm[0] << endl;
}
 
// =========== //
// main driver //
// =========== //
 
int main(int argc, char *argv[])
{
#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif
 
  if (Comm.NumProc() != 1)
  {
    cerr << "To be run with one processor only" << endl;
#ifdef HAVE_MPI
    MPI_Finalize();
#endif
    exit(EXIT_SUCCESS);
  }
 
  Epetra_Map Map(8, 0, Comm);
 
  Epetra_CrsMatrix A(Copy, Map, 0);
 
  // for this matrix the incomplete factorization
  // is the exact one, so ILU and ILUT must be exact solvers.
  for (int row = 0; row < 8; ++row)
  {
    double value = 2.0 + row;
    A.InsertGlobalValues(row, 1, &value, &row);
    if (row)
    {
      int col = row - 1;
      value = 1.0 + row;
      A.InsertGlobalValues(row, 1, &value, &col);
    }
#if 0
    if (row != Map.NumGlobalElements() - 1)
    {
      int col = row + 1;
      value = 0.0;
      A.InsertGlobalValues(row, 1, &value, &col);
    }
#endif
  }
 
  A.FillComplete();
 
  Test<Ifpack_ILU>("Ifpack_ILU", A);
  Test<Ifpack_ILUT>("Ifpack_ILUT", A);
  Test<Ifpack_AdditiveSchwarz<Ifpack_ILU> >("AS, Ifpack_ILU", A);
  Test<Ifpack_AdditiveSchwarz<Ifpack_ILUT> >("AS, Ifpack_ILUT", A);
 
#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif
 
  return(EXIT_SUCCESS);
}