int fevec4(Epetra_Comm& Comm, bool verbose)
{
  int NumElements = 4;
  Epetra_Map     Map(NumElements, 0, Comm);
  Epetra_FEVector x1(Map);
  const double value = 1.;
  x1.PutScalar (value);
				// replace one element by itself. processor 0
				// does not own this element
  const int GID = 3;
  x1.ReplaceGlobalValues(1, &GID, &value);
  x1.GlobalAssemble (Insert);

  if (Map.MyGID(3)) {
    //insist that the value for GID==3 is 1:
    if (std::abs(x1.Values()[Map.LID(3)] - 1) > 1.e-9) return -1;
  }

  std::cout << x1;

  Comm.Barrier();

				// re-apply GlobalAssemble. Nothing should
				// happen
  x1.GlobalAssemble (Insert);
  std::cout << x1;
  if (Map.MyGID(3)) {
    //insist that the value for GID==3 is 1:
    if (std::abs(x1.Values()[Map.LID(3)] - 1) > 1.e-9) return -1;
  }

  return 0;
}
示例#2
0
//============================================================================
void Ifpack_BreakForDebugger(Epetra_Comm& Comm)
{
  char hostname[80];
  char buf[80];
  if (Comm.MyPID()  == 0) cout << "Host and Process Ids for tasks" << endl;
  for (int i = 0; i <Comm.NumProc() ; i++) {
    if (i == Comm.MyPID() ) {
#if defined(TFLOP) || defined(JANUS_STLPORT)
      sprintf(buf, "Host: %s   PID: %d", "janus", getpid());
#elif defined(_WIN32)
      sprintf(buf,"Windows compiler, unknown hostname and PID!");
#else
      gethostname(hostname, sizeof(hostname));
      sprintf(buf, "Host: %s\tComm.MyPID(): %d\tPID: %d",
              hostname, Comm.MyPID(), getpid());
#endif
      printf("%s\n",buf);
      fflush(stdout);
#if !( defined(_WIN32) )
      sleep(1);
#endif
    }
  }
  if(Comm.MyPID() == 0) {
    printf("\n");
    printf("** Pausing to attach debugger...\n");
    printf("** You may now attach debugger to the processes listed above.\n");
    printf( "**\n");
    printf( "** Enter a character to continue > "); fflush(stdout);
    char go;
    scanf("%c",&go);
  }

  Comm.Barrier();

}
//
//  Amesos_TestMultiSolver.cpp reads in a matrix in Harwell-Boeing format, 
//  calls one of the sparse direct solvers, using blocked right hand sides
//  and computes the error and residual.  
//
//  TestSolver ignores the Harwell-Boeing right hand sides, creating
//  random right hand sides instead.  
//
//  Amesos_TestMultiSolver can test either A x = b or A^T x = b.
//  This can be a bit confusing because sparse direct solvers 
//  use compressed column storage - the transpose of Trilinos'
//  sparse row storage.
//
//  Matrices:
//    readA - Serial.  As read from the file.
//    transposeA - Serial.  The transpose of readA.
//    serialA - if (transpose) then transposeA else readA 
//    distributedA - readA distributed to all processes
//    passA - if ( distributed ) then distributedA else serialA
//
//
int Amesos_TestMultiSolver( Epetra_Comm &Comm, char *matrix_file, int numsolves, 
		      SparseSolverType SparseSolver, bool transpose,
		      int special, AMESOS_MatrixType matrix_type ) {


  int iam = Comm.MyPID() ;

  
  //  int hatever;
  //  if ( iam == 0 )  std::cin >> hatever ; 
  Comm.Barrier();


  Epetra_Map * readMap;
  Epetra_CrsMatrix * readA; 
  Epetra_Vector * readx; 
  Epetra_Vector * readb;
  Epetra_Vector * readxexact;
   
  std::string FileName = matrix_file ;
  int FN_Size = FileName.size() ; 
  std::string LastFiveBytes = FileName.substr( EPETRA_MAX(0,FN_Size-5), FN_Size );
  std::string LastFourBytes = FileName.substr( EPETRA_MAX(0,FN_Size-4), FN_Size );
  bool NonContiguousMap = false; 

  if ( LastFiveBytes == ".triU" ) { 
    NonContiguousMap = true; 
    // Call routine to read in unsymmetric Triplet matrix
    EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, false, Comm, readMap, readA, readx, 
						      readb, readxexact, NonContiguousMap ) );
  } else {
    if ( LastFiveBytes == ".triS" ) { 
      NonContiguousMap = true; 
      // Call routine to read in symmetric Triplet matrix
      EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, true, Comm, 
							readMap, readA, readx, 
							readb, readxexact, NonContiguousMap ) );
    } else {
      if (  LastFourBytes == ".mtx" ) { 
	EPETRA_CHK_ERR( Trilinos_Util_ReadMatrixMarket2Epetra( matrix_file, Comm, readMap, 
							       readA, readx, readb, readxexact) );
      } else {
	// Call routine to read in HB problem
	Trilinos_Util_ReadHb2Epetra( matrix_file, Comm, readMap, readA, readx, 
						     readb, readxexact) ;
      }
    }
  }

  Epetra_CrsMatrix transposeA(Copy, *readMap, 0);
  Epetra_CrsMatrix *serialA ; 

  if ( transpose ) {
    assert( CrsMatrixTranspose( readA, &transposeA ) == 0 ); 
    serialA = &transposeA ; 
  } else {
    serialA = readA ; 
  }

  // Create uniform distributed map
  Epetra_Map map(readMap->NumGlobalElements(), 0, Comm);
  Epetra_Map* map_;

  if( NonContiguousMap ) {
    //
    //  map gives us NumMyElements and MyFirstElement;
    //
    int NumGlobalElements =  readMap->NumGlobalElements();
    int NumMyElements = map.NumMyElements();
    int MyFirstElement = map.MinMyGID();
    std::vector<int> MapMap_( NumGlobalElements );
    readMap->MyGlobalElements( &MapMap_[0] ) ;
    Comm.Broadcast( &MapMap_[0], NumGlobalElements, 0 ) ; 
    map_ = new Epetra_Map( NumGlobalElements, NumMyElements, &MapMap_[MyFirstElement], 0, Comm);
  } else {
    map_ = new Epetra_Map( map ) ; 
  }


  // Create Exporter to distribute read-in matrix and vectors
  Epetra_Export exporter(*readMap, *map_);
  Epetra_CrsMatrix A(Copy, *map_, 0);

  Epetra_RowMatrix * passA = 0; 
  Epetra_MultiVector * passx = 0; 
  Epetra_MultiVector * passb = 0;
  Epetra_MultiVector * passxexact = 0;
  Epetra_MultiVector * passresid = 0;
  Epetra_MultiVector * passtmp = 0;

  Epetra_MultiVector x(*map_,numsolves);
  Epetra_MultiVector b(*map_,numsolves);
  Epetra_MultiVector xexact(*map_,numsolves);
  Epetra_MultiVector resid(*map_,numsolves);
  Epetra_MultiVector tmp(*map_,numsolves);

  Epetra_MultiVector serialx(*readMap,numsolves);
  Epetra_MultiVector serialb(*readMap,numsolves);
  Epetra_MultiVector serialxexact(*readMap,numsolves);
  Epetra_MultiVector serialresid(*readMap,numsolves);
  Epetra_MultiVector serialtmp(*readMap,numsolves);

  bool distribute_matrix = ( matrix_type == AMESOS_Distributed ) ; 
  if ( distribute_matrix ) { 
    //
    //  Initialize x, b and xexact to the values read in from the file
    //
    
    A.Export(*serialA, exporter, Add);
    Comm.Barrier();

    assert(A.FillComplete()==0);    
    Comm.Barrier();

    passA = &A; 
    passx = &x; 
    passb = &b;
    passxexact = &xexact;
    passresid = &resid;
    passtmp = &tmp;
  } else { 
    passA = serialA; 
    passx = &serialx; 
    passb = &serialb;
    passxexact = &serialxexact;
    passresid = &serialresid;
    passtmp = &serialtmp;
  }

  passxexact->SetSeed(131) ; 
  passxexact->Random();
  passx->SetSeed(11231) ; 
  passx->Random();

  passb->PutScalar( 0.0 );
  passA->Multiply( transpose, *passxexact, *passb ) ; 

  Epetra_MultiVector CopyB( *passb ) ;

  double Anorm = passA->NormInf() ; 
  SparseDirectTimingVars::SS_Result.Set_Anorm(Anorm) ;

  Epetra_LinearProblem Problem(  (Epetra_RowMatrix *) passA, 
				 (Epetra_MultiVector *) passx, 
				 (Epetra_MultiVector *) passb );

  double max_resid = 0.0;
  for ( int j = 0 ; j < special+1 ; j++ ) { 
    
    Epetra_Time TotalTime( Comm ) ; 
    if ( false ) { 
#ifdef TEST_UMFPACK

      unused code

    } else if ( SparseSolver == UMFPACK ) { 
      UmfpackOO umfpack( (Epetra_RowMatrix *) passA, 
			 (Epetra_MultiVector *) passx, 
			 (Epetra_MultiVector *) passb ) ; 
    
      umfpack.SetTrans( transpose ) ; 
      umfpack.Solve() ; 
#endif
#ifdef TEST_SUPERLU
    } else if ( SparseSolver == SuperLU ) { 
      SuperluserialOO superluserial( (Epetra_RowMatrix *) passA, 
				     (Epetra_MultiVector *) passx, 
				     (Epetra_MultiVector *) passb ) ; 

      superluserial.SetPermc( SuperLU_permc ) ; 
      superluserial.SetTrans( transpose ) ; 
      superluserial.SetUseDGSSV( special == 0 ) ; 
      superluserial.Solve() ; 
#endif
#ifdef HAVE_AMESOS_SLUD
    } else if ( SparseSolver == SuperLUdist ) { 
      SuperludistOO superludist( Problem ) ; 
      superludist.SetTrans( transpose ) ; 
      EPETRA_CHK_ERR( superludist.Solve( true ) ) ;
#endif 
#ifdef HAVE_AMESOS_SLUD2
    } else if ( SparseSolver == SuperLUdist2 ) { 
      Superludist2_OO superludist2( Problem ) ; 
      superludist2.SetTrans( transpose ) ; 
      EPETRA_CHK_ERR( superludist2.Solve( true ) ) ;
#endif 
#ifdef TEST_SPOOLES
    } else if ( SparseSolver == SPOOLES ) { 
      SpoolesOO spooles( (Epetra_RowMatrix *) passA, 
			 (Epetra_MultiVector *) passx, 
			 (Epetra_MultiVector *) passb ) ; 
    
      spooles.SetTrans( transpose ) ; 
      spooles.Solve() ; 
#endif
#ifdef HAVE_AMESOS_DSCPACK
    } else if ( SparseSolver == DSCPACK ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Dscpack dscpack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( dscpack.SetParameters( ParamList ) ); 
    
      EPETRA_CHK_ERR( dscpack.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_UMFPACK
    } else if ( SparseSolver == UMFPACK ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Umfpack umfpack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( umfpack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( umfpack.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( umfpack.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_KLU
    } else if ( SparseSolver == KLU ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Klu klu( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( klu.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( klu.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( klu.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( klu.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( klu.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_PARAKLETE
    } else if ( SparseSolver == PARAKLETE ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Paraklete paraklete( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( paraklete.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( paraklete.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( paraklete.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( paraklete.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( paraklete.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_SLUS
    } else if ( SparseSolver == SuperLU ) { 
      Epetra_SLU superluserial( &Problem ) ; 
      EPETRA_CHK_ERR( superluserial.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( superluserial.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( superluserial.NumericFactorization(  ) ); 

      EPETRA_CHK_ERR( superluserial.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_LAPACK
    } else if ( SparseSolver == LAPACK ) { 
      Teuchos::ParameterList ParamList ;
      ParamList.set( "MaxProcs", -3 );
      Amesos_Lapack lapack( Problem ) ; 
      EPETRA_CHK_ERR( lapack.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( lapack.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( lapack.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( lapack.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_TAUCS
    } else if ( SparseSolver == TAUCS ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Taucs taucs( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( taucs.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( taucs.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( taucs.SymbolicFactorization( ) ); 
      EPETRA_CHK_ERR( taucs.NumericFactorization( ) ); 
      EPETRA_CHK_ERR( taucs.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_PARDISO
    } else if ( SparseSolver == PARDISO ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Pardiso pardiso( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( pardiso.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( pardiso.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( pardiso.SymbolicFactorization( ) ); 
      EPETRA_CHK_ERR( pardiso.NumericFactorization( ) ); 
      EPETRA_CHK_ERR( pardiso.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_PARKLETE
    } else if ( SparseSolver == PARKLETE ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Parklete parklete( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( parklete.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( parklete.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( parklete.SymbolicFactorization( ) ); 
      EPETRA_CHK_ERR( parklete.NumericFactorization( ) ); 
      EPETRA_CHK_ERR( parklete.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_MUMPS
    } else if ( SparseSolver == MUMPS ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Mumps mumps( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( mumps.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( mumps.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( mumps.SymbolicFactorization( ) ); 
      EPETRA_CHK_ERR( mumps.NumericFactorization( ) ); 
      EPETRA_CHK_ERR( mumps.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_SCALAPACK
    } else if ( SparseSolver == SCALAPACK ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Scalapack scalapack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( scalapack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( scalapack.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( scalapack.SymbolicFactorization( ) ); 
      EPETRA_CHK_ERR( scalapack.NumericFactorization( ) ); 
      EPETRA_CHK_ERR( scalapack.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_SUPERLUDIST
    } else if ( SparseSolver == SUPERLUDIST ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Superludist superludist( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( superludist.SetParameters( ParamList ) ); 

      EPETRA_CHK_ERR( superludist.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( superludist.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( superludist.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( superludist.Solve( ) ); 
#endif
#ifdef HAVE_AMESOS_SUPERLU
    } else if ( SparseSolver == SUPERLU ) { 
      Teuchos::ParameterList ParamList ;
      Amesos_Superlu superlu( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( superlu.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( superlu.SetUseTranspose( transpose ) ); 
    
      EPETRA_CHK_ERR( superlu.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( superlu.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( superlu.Solve( ) ); 
#endif
#ifdef TEST_SPOOLESSERIAL 
    } else if ( SparseSolver == SPOOLESSERIAL ) { 
      SpoolesserialOO spoolesserial( (Epetra_RowMatrix *) passA, 
				     (Epetra_MultiVector *) passx, 
				     (Epetra_MultiVector *) passb ) ; 
    
      spoolesserial.Solve() ;
#endif
    } else { 
      SparseDirectTimingVars::log_file << "Solver not implemented yet" << std::endl ;
      std::cerr << "\n\n####################  Requested solver not available (Or not tested with blocked RHS) on this platform #####################\n" << std::endl ;
    }

    SparseDirectTimingVars::SS_Result.Set_Total_Time( TotalTime.ElapsedTime() ); 
    //    SparseDirectTimingVars::SS_Result.Set_First_Time( 0.0 ); 
    //    SparseDirectTimingVars::SS_Result.Set_Middle_Time( 0.0 ); 
    //    SparseDirectTimingVars::SS_Result.Set_Last_Time( 0.0 ); 

    //
    //  Compute the error = norm(xcomp - xexact )
    //
    std::vector <double> error(numsolves) ; 
    double max_error = 0.0;
  
    passresid->Update(1.0, *passx, -1.0, *passxexact, 0.0);

    passresid->Norm2(&error[0]);
    for ( int i = 0 ; i< numsolves; i++ ) 
      if ( error[i] > max_error ) max_error = error[i] ; 
    SparseDirectTimingVars::SS_Result.Set_Error(max_error) ;

    //  passxexact->Norm2(&error[0] ) ; 
    //  passx->Norm2(&error ) ; 

    //
    //  Compute the residual = norm(Ax - b)
    //
    std::vector <double> residual(numsolves) ; 
  
    passtmp->PutScalar(0.0);
    passA->Multiply( transpose, *passx, *passtmp);
    passresid->Update(1.0, *passtmp, -1.0, *passb, 0.0); 
    //    passresid->Update(1.0, *passtmp, -1.0, CopyB, 0.0); 
    passresid->Norm2(&residual[0]);

    for ( int i = 0 ; i< numsolves; i++ ) 
      if ( residual[i] > max_resid ) max_resid = residual[i] ; 


    SparseDirectTimingVars::SS_Result.Set_Residual(max_resid) ;
    
    std::vector <double> bnorm(numsolves); 
    passb->Norm2( &bnorm[0] ) ; 
    SparseDirectTimingVars::SS_Result.Set_Bnorm(bnorm[0]) ;

    std::vector <double> xnorm(numsolves); 
    passx->Norm2( &xnorm[0] ) ; 
    SparseDirectTimingVars::SS_Result.Set_Xnorm(xnorm[0]) ;


    if ( false && iam == 0 ) { 

      std::cout << " Amesos_TestMutliSolver.cpp " << std::endl ; 
      for ( int i = 0 ; i< numsolves && i < 10 ; i++ ) {
	std::cout << "i=" << i 
	     << " error = " << error[i] 
	     << " xnorm = " << xnorm[i] 
	     << " residual = " << residual[i] 
	     << " bnorm = " << bnorm[i] 
	     << std::endl ; 
      
      }
    
      std::cout << std::endl << " max_resid = " << max_resid ; 
      std::cout << " max_error = " << max_error << std::endl ; 
      std::cout << " Get_residual() again = " << SparseDirectTimingVars::SS_Result.Get_Residual() << std::endl ;

    }
  }
  delete readA;
  delete readx;
  delete readb;
  delete readxexact;
  delete readMap;
  delete map_;
  
  Comm.Barrier();

return 0 ;
}
int MatrixMarketFileToBlockMap( const char *filename, const Epetra_Comm & comm, Epetra_BlockMap * & map) {

  const int lineLength = 1025;
  char line[lineLength];
  char token[lineLength];
  int M, N, numProc, MaxElementSize, MinElementSize, NumMyElements, IndexBase, NumGlobalElements, firstGid;

  FILE * handle = 0;

  bool inHeader = true;

  handle = fopen(filename,"r");
  if (handle == 0)
    EPETRA_CHK_ERR(-1); // file not found

  while (inHeader) {
    if(fgets(line, lineLength, handle)==0) return(-1);
    if(sscanf(line, "%s", token)==0) return(-1);
    if (!strcmp(token, "%NumProc:")) inHeader = false;
  }

  if(fgets(line, lineLength, handle)==0) return(-1); // numProc value
  if(sscanf(line, "%s %d", token, &numProc)==0) return(-1);

  if(fgets(line, lineLength, handle)==0) return(-1); // MaxElementSize header line
  if(fgets(line, lineLength, handle)==0) return(-1); // MaxElementSize value
  if(sscanf(line, "%s %d", token, &MaxElementSize)==0) return(-1);

  if(fgets(line, lineLength, handle)==0) return(-1); // MinElementSize header line
  if(fgets(line, lineLength, handle)==0) return(-1); // MinElementSize value
  if(sscanf(line, "%s %d", token, &MinElementSize)==0) return(-1);

  if(fgets(line, lineLength, handle)==0) return(-1); // IndexBase header line
  if(fgets(line, lineLength, handle)==0) return(-1); // IndexBase value
  if(sscanf(line, "%s %d", token, &IndexBase)==0) return(-1);

  if(fgets(line, lineLength, handle)==0) return(-1); // NumGlobalElements header line
  if(fgets(line, lineLength, handle)==0) return(-1); // NumGlobalElements value
  if(sscanf(line, "%s %d", token, &NumGlobalElements)==0) return(-1);

  int ierr = 0;
  if (comm.NumProc()==numProc) {
    if(fgets(line, lineLength, handle)==0) return(-1); // NumMyElements header line
    firstGid = 0;
    for (int i=0; i<comm.MyPID(); i++) {
      if(fgets(line, lineLength, handle)==0) return(-1); // ith NumMyElements value
      if(sscanf(line, "%s %d", token, &NumMyElements)==0) return(-1);
      firstGid += NumMyElements;
    }
 
    if(fgets(line, lineLength, handle)==0) return(-1); // This PE's NumMyElements value
    if(sscanf(line, "%s %d", token, &NumMyElements)==0) return(-1);

    for (int i=comm.MyPID()+1; i<numProc; i++) {
      if(fgets(line, lineLength, handle)==0) return(-1); // ith NumMyElements value (dump these)
    }
  }
  else {
    ierr = 1; // Warning error, different number of processors.

    if(fgets(line, lineLength, handle)==0) return(-1); // NumMyElements header line
    for (int i=0; i<numProc; i++) {
      if(fgets(line, lineLength, handle)==0) return(-1); // ith NumMyElements value (dump these)
    }

    NumMyElements = NumGlobalElements/comm.NumProc();
    firstGid = comm.MyPID()*NumMyElements;
    int remainder = NumGlobalElements%comm.NumProc();
    if (comm.MyPID()<remainder) NumMyElements++;
    int extra = remainder;
    if (comm.MyPID()<remainder) extra = comm.MyPID();
    firstGid += extra;
  }
  if(fgets(line, lineLength, handle)==0) return(-1); // Number of rows, columns
  if(sscanf(line, "%d %d", &M, &N)==0) return(-1);

  bool doSizes = (N>1);
  Epetra_IntSerialDenseVector v1(NumMyElements);
  Epetra_IntSerialDenseVector v2(NumMyElements);
  for (int i=0; i<firstGid; i++) {
    if(fgets(line, lineLength, handle)==0) return(-1); // dump these
  }

  if (doSizes) {
    for (int i=0; i<NumMyElements; i++) {
      if(fgets(line, lineLength, handle)==0) return(-1);
      if(sscanf(line, "%d %d", &v1[i], &v2[i])==0) return(-1); // load v1, v2
    }
  }
  else {
    for (int i=0; i<NumMyElements; i++) {
      if(fgets(line, lineLength, handle)==0) return(-1);
      if(sscanf(line, "%d", &v1[i])==0) return(-1); // load v1
      v2[i] = MinElementSize; // Fill with constant size
    }
  }
  if (fclose(handle)) return(-1);

  comm.Barrier();

  if (MinElementSize==1 && MaxElementSize==1)
    map = new Epetra_Map(-1, NumMyElements, v1.Values(), IndexBase, comm);
  else
    map = new Epetra_BlockMap(-1, NumMyElements, v1.Values(), v2.Values(), IndexBase, comm);
  return(0);
}
示例#5
0
//------------------------------------------------------------------------------
int check_rowpermute_multivector_local(Epetra_Comm& Comm,
				       bool verbose)
{
  int MyPID = Comm.MyPID();
  int NumProc = Comm.NumProc();

  Comm.Barrier();
  bool verbose1 = verbose;

  if (verbose) verbose = (MyPID==0);

  if (verbose) {
    cerr << "================check_rowpermute_multivector_local=========="
	 <<endl;
  }

  int NumMyElements = 5;
  int NumGlobalElements = NumMyElements*NumProc;
 
  Epetra_Map Map(NumGlobalElements, NumMyElements, 0, Comm);

  int* p = new int[NumMyElements];
  int firstGlobalRow = MyPID*NumMyElements;

  //Set up a permutation that will reverse the order of all LOCAL rows. (i.e.,
  //this test won't cause any inter-processor data movement.)

  if (verbose) {
    cout << "Permutation P:"<<endl;
  }

  int i;

  for(i=0; i<NumMyElements; ++i) {
    p[i] = firstGlobalRow+NumMyElements-1-i;
    if (verbose1) {
      cout << "p["<<firstGlobalRow+i<<"]: "<<p[i]<<endl;
    }
  }

  Epetra_MultiVector v(Map, 3);

  double* v0 = v[0];
  double* v1 = v[1];
  double* v2 = v[2];

  for(i=0; i<NumMyElements; ++i) {
    v0[i] = 1.0*(firstGlobalRow+i) + 0.1;
    v1[i] = 1.0*(firstGlobalRow+i) + 0.2;
    v2[i] = 1.0*(firstGlobalRow+i) + 0.3;
  }
 
  if (verbose1) {
    cout << "*************** MultiVector v: ********************"<<endl;
    cout << v << endl;
  }

  EpetraExt::Permutation<Epetra_MultiVector> P(Copy, Map, p);

  Epetra_MultiVector& Pv = P(v);

  if (verbose1) {
    cout <<"************* permuted MultiVector Pv: ****************"<<endl;
    cout << Pv << endl;
  }

  return(0);
}
示例#6
0
//-------------------------------------------------------------------------------
int check_colpermute_crsmatrix(Epetra_Comm& Comm,
			       bool verbose)
{
  int MyPID = Comm.MyPID();
  int NumProc = Comm.NumProc();

  Comm.Barrier();
  bool verbose1 = verbose;

  if (verbose) verbose = (MyPID==0);

  if (verbose) {
    cerr << "================check_colpermute_crsmatrix=========="
	 <<endl;
  }

  int NumMyElements = 5;
  int NumGlobalElements = NumMyElements*NumProc;
 
  Epetra_Map Map(NumGlobalElements, NumMyElements, 0, Comm);

  int* p = new int[NumMyElements];
  int firstGlobalRow = MyPID*NumMyElements;

  if (verbose) {
    cout << "Permutation P:"<<endl;
  }

  int i;

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    p[i] = NumGlobalElements - row - 1;
    if (verbose1) {
      cout << "p["<<firstGlobalRow+i<<"]: "<<p[i]<<endl;
    }
  }

  Epetra_CrsMatrix A(Copy, Map, 1);

  int col;
  double val;

  //set up a tri-diagonal graph.

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    col = NumGlobalElements - row - 1;
    val = 1.0*col;

    A.InsertGlobalValues(row, 1, &val, &col);

    if (col > 0) {
      int colm1 = col-1;
      val = 1.0*colm1;
      A.InsertGlobalValues(row, 1, &val, &colm1);
    }

    if (col < NumGlobalElements-1) {
      int colp1 = col+1;
      val = 1.0*colp1;
      A.InsertGlobalValues(row, 1, &val, &colp1);
    }
  }
 
  A.FillComplete();

  if (verbose1) {
    cout << "*************** matrix A: ********************"<<endl;
    cout << A << endl;
  }

  EpetraExt::Permutation<Epetra_CrsMatrix> P(Copy, Map, p);

  bool column_permutation = true;
  Epetra_CrsMatrix& B = P(A, column_permutation);

  if (verbose1) {
    cout <<"************* column-permuted matrix B: ****************"<<endl;
    cout << B << endl;
  }

  delete [] p;

  return(0);
}
示例#7
0
//-------------------------------------------------------------------------------
int check_rowpermute_crsmatrix_global_diagonal(Epetra_Comm& Comm,
			bool verbose)
{
  int MyPID = Comm.MyPID();
  int NumProc = Comm.NumProc();

  Comm.Barrier();
  bool verbose1 = verbose;

  if (verbose) verbose = (MyPID==0);

  if (verbose) {
    cerr << "================check_rowpermute_crsmatrix_global_diagonal=========="
	 <<endl;
  }

  int NumMyElements = 5;
  int NumGlobalElements = NumMyElements*NumProc;
 
  Epetra_Map Map(NumGlobalElements, NumMyElements, 0, Comm);

  int* p = new int[NumMyElements];
  int firstGlobalRow = MyPID*NumMyElements;

  //Now set up a permutation that will GLOBALLY reverse the order of all rows.
  //(i.e., if there are multiple processors, there will be inter-processor
  //data movement as rows are migrated.)

  int i;

  Epetra_CrsMatrix A(Copy, Map, 1);

  int col;
  double val;

  //set up a diagonal matrix A. It's diagonal because that's the easiest
  //to fill and to examine output before and after permutation...

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    val = 1.0*row;
    col = row;

    A.InsertGlobalValues(row, 1, &val, &col);
  }
 
  A.FillComplete();

  if (verbose1) {
    cout << "******************* matrix A: ****************************"<<endl;
    cout << A << endl;
  }

  if (verbose) {
    cout << "Permutation P:"<<endl;
  }

  for(i=0; i<NumMyElements; ++i) {
    int globalrow = NumGlobalElements-(firstGlobalRow+i)-1;
    p[i] = globalrow;
    if (verbose1) {
      cout << "p["<<firstGlobalRow+i<<"]: "<<p[i]<<endl;
    }
  }

  EpetraExt::Permutation<Epetra_CrsMatrix> Pglobal(Copy, Map, p);

  Epetra_CrsMatrix& Bglobal = Pglobal(A);

  if (verbose1) {
    cout << "******************* permuted matrix Bglobal: *******************" <<endl;
    cout << Bglobal << endl;
  }

  return(0);
}
示例#8
0
//------------------------------------------------------------------------------
int check_colpermute_crsgraph(Epetra_Comm& Comm,
			      bool verbose)
{
  int MyPID = Comm.MyPID();
  int NumProc = Comm.NumProc();

  Comm.Barrier();
  bool verbose1 = verbose;

  if (verbose) verbose = (MyPID==0);

  if (verbose) {
    cerr << "================check_colpermute_crsgraph=========="
	 <<endl;
  }

  int NumMyElements = 5;
  int NumGlobalElements = NumMyElements*NumProc;
 
  Epetra_Map Map(NumGlobalElements, NumMyElements, 0, Comm);

  int* p = new int[NumMyElements];
  int firstGlobalRow = MyPID*NumMyElements;

  if (verbose) {
    cout << "Permutation P:"<<endl;
  }

  int i;

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    p[i] = NumGlobalElements - row - 1;
    if (verbose1) {
      cout << "p["<<firstGlobalRow+i<<"]: "<<p[i]<<endl;
    }
  }

  Epetra_CrsGraph Agrph(Copy, Map, 1);

  int col;

  //set up a tri-diagonal graph.

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    col = NumGlobalElements - row - 1;

    Agrph.InsertGlobalIndices(row, 1, &col);

    if (col > 0) {
      int colm1 = col-1;
      Agrph.InsertGlobalIndices(row, 1, &colm1);
    }

    if (col < NumGlobalElements-1) {
      int colp1 = col+1;
      Agrph.InsertGlobalIndices(row, 1, &colp1);
    }
  }
 
  Agrph.FillComplete();

  if (verbose1) {
    cout << "*************** graph Agrph: ********************"<<endl;
    cout << Agrph << endl;
  }

  EpetraExt::Permutation<Epetra_CrsGraph> P(Copy, Map, p);

  bool column_permutation = true;
  Epetra_CrsGraph& Bgrph = P(Agrph, column_permutation);

  if (verbose1) {
    cout <<"************* column-permuted graph Bgrph: ****************"<<endl;
    cout << Bgrph << endl;
  }

  delete [] p;

  return(0);
}
示例#9
0
//------------------------------------------------------------------------------
int check_rowpermute_crsgraph_local_diagonal(Epetra_Comm& Comm,
					  bool verbose)
{
  int MyPID = Comm.MyPID();
  int NumProc = Comm.NumProc();

  Comm.Barrier();
  bool verbose1 = verbose;

  if (verbose) verbose = (MyPID==0);

  if (verbose) {
    cerr << "================check_rowpermute_crsgraph_local_diagonal=========="
	 <<endl;
  }

  int NumMyElements = 5;
  int NumGlobalElements = NumMyElements*NumProc;
 
  Epetra_Map Map(NumGlobalElements, NumMyElements, 0, Comm);

  int* p = new int[NumMyElements];
  int firstGlobalRow = MyPID*NumMyElements;

  //Set up a permutation that will reverse the order of all LOCAL rows. (i.e.,
  //this test won't cause any inter-processor data movement.)

  if (verbose) {
    cout << "Permutation P:"<<endl;
  }

  int i;

  for(i=0; i<NumMyElements; ++i) {
    p[i] = firstGlobalRow+NumMyElements-1-i;
    if (verbose1) {
      cout << "p["<<firstGlobalRow+i<<"]: "<<p[i]<<endl;
    }
  }

  Epetra_CrsGraph Agrph(Copy, Map, 1);

  int col;

  //set up a diagonal graph. It's diagonal because that's the easiest
  //to fill and to examine output before and after permutation...

  for(i=0; i<NumMyElements; ++i) {
    int row = firstGlobalRow+i;
    col = row;

    Agrph.InsertGlobalIndices(row, 1, &col);
  }
 
  Agrph.FillComplete();

  if (verbose1) {
    cout << "*************** graph Agrph: ********************"<<endl;
    cout << Agrph << endl;
  }

  EpetraExt::Permutation<Epetra_CrsGraph> P(Copy, Map, p);

  Epetra_CrsGraph& Bgrph = P(Agrph);

  if (verbose1) {
    cout <<"************* permuted graph Bgrph: ****************"<<endl;
    cout << Bgrph << endl;
  }

  return(0);
}
示例#10
0
int Amesos_TestSolver( Epetra_Comm &Comm, char *matrix_file, 
		       SparseSolverType SparseSolver,
		       bool transpose, 
		       int special, AMESOS_MatrixType matrix_type ) {


  Epetra_Map * readMap;
  Epetra_CrsMatrix * readA; 
  Epetra_Vector * readx; 
  Epetra_Vector * readb;
  Epetra_Vector * readxexact;
   
  std::string FileName = matrix_file ;
  int FN_Size = FileName.size() ; 
  std::string LastFiveBytes = FileName.substr( EPETRA_MAX(0,FN_Size-5), FN_Size );
  std::string LastFourBytes = FileName.substr( EPETRA_MAX(0,FN_Size-4), FN_Size );
  bool NonContiguousMap = false; 

  if ( LastFiveBytes == ".triU" ) { 
    // Call routine to read in unsymmetric Triplet matrix
    NonContiguousMap = true; 
    EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, false, Comm, readMap, readA, readx, 
						      readb, readxexact, NonContiguousMap ) );
  } else {
    if ( LastFiveBytes == ".triS" ) { 
      NonContiguousMap = true; 
      // Call routine to read in symmetric Triplet matrix
      EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, true, Comm, readMap, readA, readx, 
							readb, readxexact, NonContiguousMap ) );
    } else {
      if (  LastFourBytes == ".mtx" ) { 
	EPETRA_CHK_ERR( Trilinos_Util_ReadMatrixMarket2Epetra( matrix_file, Comm, readMap, 
							       readA, readx, readb, readxexact) );
      } else {
	// Call routine to read in HB problem
	Trilinos_Util_ReadHb2Epetra( matrix_file, Comm, readMap, readA, readx, 
						     readb, readxexact) ;
      }
    }
  }

  Epetra_CrsMatrix transposeA(Copy, *readMap, 0);
  Epetra_CrsMatrix *serialA ; 

  if ( transpose ) {
    assert( CrsMatrixTranspose( readA, &transposeA ) == 0 ); 
    serialA = &transposeA ; 
  } else {
    serialA = readA ; 
  }

  Epetra_RowMatrix * passA = 0; 
  Epetra_Vector * passx = 0; 
  Epetra_Vector * passb = 0;
  Epetra_Vector * passxexact = 0;
  Epetra_Vector * passresid = 0;
  Epetra_Vector * passtmp = 0;

  // Create uniform distributed map
  Epetra_Map map(readMap->NumGlobalElements(), 0, Comm);
  Epetra_Map* map_;

  if( NonContiguousMap ) {
    //
    //  map gives us NumMyElements and MyFirstElement;
    //
    int NumGlobalElements =  readMap->NumGlobalElements();
    int NumMyElements = map.NumMyElements();
    int MyFirstElement = map.MinMyGID();
    std::vector<int> MapMap_( NumGlobalElements );
    readMap->MyGlobalElements( &MapMap_[0] ) ;
    Comm.Broadcast( &MapMap_[0], NumGlobalElements, 0 ) ; 
    map_ = new Epetra_Map( NumGlobalElements, NumMyElements, &MapMap_[MyFirstElement], 0, Comm);
  } else {
    map_ = new Epetra_Map( map ) ; 
  }


  Epetra_CrsMatrix A(Copy, *map_, 0);


  const Epetra_Map &OriginalMap = serialA->RowMatrixRowMap() ; 
  assert( OriginalMap.SameAs(*readMap) ); 
  Epetra_Export exporter(OriginalMap, *map_);
  Epetra_Export exporter2(OriginalMap, *map_);
  Epetra_Export MatrixExporter(OriginalMap, *map_);
  Epetra_CrsMatrix AwithDiag(Copy, *map_, 0);

  Epetra_Vector x(*map_);
  Epetra_Vector b(*map_);
  Epetra_Vector xexact(*map_);
  Epetra_Vector resid(*map_);
  Epetra_Vector readresid(*readMap);
  Epetra_Vector tmp(*map_);
  Epetra_Vector readtmp(*readMap);

  //  Epetra_Vector xcomp(*map_);      // X as computed by the solver
  bool distribute_matrix = ( matrix_type == AMESOS_Distributed ) ; 
  if ( distribute_matrix ) { 
    // Create Exporter to distribute read-in matrix and vectors
    //
    //  Initialize x, b and xexact to the values read in from the file
    //
    x.Export(*readx, exporter, Add);
    b.Export(*readb, exporter, Add);
    xexact.Export(*readxexact, exporter, Add);
    Comm.Barrier();
    
    A.Export(*serialA, exporter, Add);
    assert(A.FillComplete()==0);    
    
    Comm.Barrier();

    passA = &A; 

    passx = &x; 
    passb = &b;
    passxexact = &xexact;
    passresid = &resid;
    passtmp = &tmp;

  } else { 

    passA = serialA; 
    passx = readx; 
    passb = readb;
    passxexact = readxexact;
    passresid = &readresid;
    passtmp = &readtmp;
  }

  Epetra_MultiVector CopyB( *passb ) ;


  double Anorm = passA->NormInf() ; 
  SparseDirectTimingVars::SS_Result.Set_Anorm(Anorm) ;

  Epetra_LinearProblem Problem(  (Epetra_RowMatrix *) passA, 
				 (Epetra_MultiVector *) passx, 
				 (Epetra_MultiVector *) passb );
  

  for ( int i = 0; i < 1+special ; i++ ) { 
    Epetra_Time TotalTime( Comm ) ; 
    
    if ( false ) { 
      //  TEST_UMFPACK is never set by configure
#ifdef HAVE_AMESOS_SUPERLUDIST
    } else if ( SparseSolver == SUPERLUDIST ) {
	Teuchos::ParameterList ParamList ;
	ParamList.set( "MaxProcs", -3 );
	Amesos_Superludist A_Superludist( Problem ) ; 

  //ParamList.set( "Redistribute", true );
  //ParamList.set( "AddZeroToDiag", true );
  Teuchos::ParameterList& SuperludistParams = ParamList.sublist("Superludist") ;
  ParamList.set( "MaxProcs", -3 );

	EPETRA_CHK_ERR( A_Superludist.SetParameters( ParamList ) ); 
	EPETRA_CHK_ERR( A_Superludist.SetUseTranspose( transpose ) ); 
	EPETRA_CHK_ERR( A_Superludist.SymbolicFactorization(  ) ); 
	EPETRA_CHK_ERR( A_Superludist.NumericFactorization(  ) ); 
	EPETRA_CHK_ERR( A_Superludist.Solve(  ) ); 
#endif
#ifdef HAVE_AMESOS_DSCPACK
    } else if ( SparseSolver == DSCPACK ) {
      
      Teuchos::ParameterList ParamList ;
      ParamList.set( "MaxProcs", -3 );

      Amesos_Dscpack A_dscpack( Problem ) ; 
      EPETRA_CHK_ERR( A_dscpack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_dscpack.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_dscpack.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_dscpack.Solve(  ) ); 
#endif
#ifdef HAVE_AMESOS_SCALAPACK
    } else if ( SparseSolver == SCALAPACK ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Scalapack A_scalapack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_scalapack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_scalapack.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_scalapack.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_scalapack.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_scalapack.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_TAUCS
    } else if ( SparseSolver == TAUCS ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Taucs A_taucs( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_taucs.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_taucs.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_taucs.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_taucs.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_taucs.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_PARDISO
    } else if ( SparseSolver == PARDISO ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Pardiso A_pardiso( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_pardiso.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_pardiso.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_pardiso.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_pardiso.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_pardiso.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_PARAKLETE
    } else if ( SparseSolver == PARAKLETE ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Paraklete A_paraklete( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_paraklete.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_paraklete.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_paraklete.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_paraklete.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_paraklete.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_MUMPS
    } else if ( SparseSolver == MUMPS ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Mumps A_mumps( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_mumps.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_mumps.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_mumps.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_mumps.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_mumps.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_SUPERLU
    } else if ( SparseSolver == SUPERLU ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Superlu A_superlu( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_superlu.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_superlu.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_superlu.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_superlu.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_superlu.Solve(  ) ); 

#endif
#ifdef HAVE_AMESOS_LAPACK
    } else if ( SparseSolver == LAPACK ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Lapack A_lapack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_lapack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_lapack.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_lapack.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_lapack.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_lapack.Solve(  ) ); 
#endif
#ifdef HAVE_AMESOS_UMFPACK
    } else if ( SparseSolver == UMFPACK ) {

      Teuchos::ParameterList ParamList ;
      Amesos_Umfpack A_umfpack( Problem ) ; 
      ParamList.set( "MaxProcs", -3 );
      EPETRA_CHK_ERR( A_umfpack.SetParameters( ParamList ) ); 
      EPETRA_CHK_ERR( A_umfpack.SetUseTranspose( transpose ) ); 
      EPETRA_CHK_ERR( A_umfpack.SymbolicFactorization(  ) ); 
      EPETRA_CHK_ERR( A_umfpack.NumericFactorization(  ) ); 
      EPETRA_CHK_ERR( A_umfpack.Solve(  ) ); 
#endif
#ifdef HAVE_AMESOS_KLU
    } else if ( SparseSolver == KLU ) {


      using namespace Teuchos;

      Amesos_Time AT; 
      int setupTimePtr = -1, symTimePtr = -1, numTimePtr = -1, refacTimePtr = -1, solveTimePtr = -1;
      AT.CreateTimer(Comm, 2);
      AT.ResetTimer(0);

      Teuchos::ParameterList ParamList ;
      // ParamList.set("OutputLevel",2);
      Amesos_Klu A_klu( Problem ); 
      ParamList.set( "MaxProcs", -3 );
      ParamList.set( "TrustMe", false );
      // ParamList.set( "Refactorize", true );
      EPETRA_CHK_ERR( A_klu.SetParameters( ParamList ) ) ; 
      EPETRA_CHK_ERR( A_klu.SetUseTranspose( transpose ) ); 
      setupTimePtr = AT.AddTime("Setup", setupTimePtr, 0);
      EPETRA_CHK_ERR( A_klu.SymbolicFactorization(  ) ); 
      symTimePtr = AT.AddTime("Symbolic", symTimePtr, 0);
      EPETRA_CHK_ERR( A_klu.NumericFactorization(  ) ); 
      numTimePtr = AT.AddTime("Numeric", numTimePtr, 0);
      EPETRA_CHK_ERR( A_klu.NumericFactorization(  ) ); 
      refacTimePtr = AT.AddTime("Refactor", refacTimePtr, 0);
      // for ( int i=0; i<100000 ; i++ ) 
      EPETRA_CHK_ERR( A_klu.Solve(  ) ); 
      solveTimePtr = AT.AddTime("Solve", solveTimePtr, 0);

      double SetupTime = AT.GetTime(setupTimePtr);
      double SymbolicTime = AT.GetTime(symTimePtr);
      double NumericTime = AT.GetTime(numTimePtr);
      double RefactorTime = AT.GetTime(refacTimePtr);
      double SolveTime = AT.GetTime(solveTimePtr);

      std::cout << __FILE__ << "::"  << __LINE__ << " SetupTime = " << SetupTime << std::endl ; 
      std::cout << __FILE__ << "::"  << __LINE__ << " SymbolicTime = " << SymbolicTime - SetupTime << std::endl ; 
      std::cout << __FILE__ << "::"  << __LINE__ << " NumericTime = " << NumericTime - SymbolicTime<< std::endl ; 
      std::cout << __FILE__ << "::"  << __LINE__ << " RefactorTime = " << RefactorTime - NumericTime << std::endl ; 
      std::cout << __FILE__ << "::"  << __LINE__ << " SolveTime = " << SolveTime - RefactorTime << std::endl ; 

#endif
    } else { 
      SparseDirectTimingVars::log_file << "Solver not implemented yet" << std::endl ;
      std::cerr << "\n\n####################  Requested solver not available on this platform ##################### ATS\n" << std::endl ;
      std::cout << " SparseSolver = " << SparseSolver << std::endl ; 
      std::cerr << " SparseSolver = " << SparseSolver << std::endl ; 
    }
    
    SparseDirectTimingVars::SS_Result.Set_Total_Time( TotalTime.ElapsedTime() ); 
  }  // end for (int i=0; i<special; i++ ) 

  //
  //  Compute the error = norm(xcomp - xexact )
  //
  double error;
  passresid->Update(1.0, *passx, -1.0, *passxexact, 0.0);

  passresid->Norm2(&error);
  SparseDirectTimingVars::SS_Result.Set_Error(error) ;

  //  passxexact->Norm2(&error ) ; 
  //  passx->Norm2(&error ) ; 

  //
  //  Compute the residual = norm(Ax - b)
  //
  double residual ; 

  passA->Multiply( transpose, *passx, *passtmp);
  passresid->Update(1.0, *passtmp, -1.0, *passb, 0.0); 
  //  passresid->Update(1.0, *passtmp, -1.0, CopyB, 0.0); 
  passresid->Norm2(&residual);

  SparseDirectTimingVars::SS_Result.Set_Residual(residual) ;
    
  double bnorm; 
  passb->Norm2( &bnorm ) ; 
  SparseDirectTimingVars::SS_Result.Set_Bnorm(bnorm) ;

  double xnorm; 
  passx->Norm2( &xnorm ) ; 
  SparseDirectTimingVars::SS_Result.Set_Xnorm(xnorm) ;

  delete readA;
  delete readx;
  delete readb;
  delete readxexact;
  delete readMap;
  delete map_;
  
  Comm.Barrier();

  return 0;
}