C++ AztecOO::SetLHS方法代码示例

int Ifpack_ShyLU::JustTryIt()
{
    // Dummy function, To show the error in AztecOO, This works
    //cout << "Entering JustTryIt" << endl;
    AztecOO *solver;
    solver = slu_data_.innersolver;
    //cout << solver_ << endl;
    Epetra_Map BsMap(-1, slu_data_.Snr, slu_data_.SRowElems, 0, A_->Comm());
    Epetra_MultiVector Xs(BsMap, 1);
    Epetra_MultiVector Bs(BsMap, 1);
    Xs.PutScalar(0.0);
    solver->SetLHS(&Xs);
    solver->SetRHS(&Bs);
    solver->Iterate(30, 1e-10);
    return 0;
}

int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  // matrix downloaded from MatrixMarket
  char FileName[] = "../HBMatrices/fidap005.rua";

  Epetra_Map * readMap; // Pointers because of Trilinos_Util_ReadHb2Epetra
  Epetra_CrsMatrix * readA; 
  Epetra_Vector * readx; 
  Epetra_Vector * readb;
  Epetra_Vector * readxexact;
   
  // Call routine to read in HB problem
  Trilinos_Util_ReadHb2Epetra(FileName, Comm, readMap, readA, readx, 
			      readb, readxexact);

  int NumGlobalElements = readMap->NumGlobalElements();

  // Create uniform distributed map
  Epetra_Map map(NumGlobalElements, 0, Comm);

  // Create Exporter to distribute read-in matrix and vectors

  Epetra_Export exporter(*readMap, map);
  Epetra_CrsMatrix A(Copy, map, 0);
  Epetra_Vector x(map);
  Epetra_Vector b(map);
  Epetra_Vector xexact(map);

  Epetra_Time FillTimer(Comm);
  A.Export(*readA, exporter, Add);
  x.Export(*readx, exporter, Add);
  b.Export(*readb, exporter, Add);
  xexact.Export(*readxexact, exporter, Add);

  A.FillComplete();
  
  delete readA;
  delete readx;
  delete readb;
  delete readxexact;
  delete readMap;
  
  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  //  modify those parameters 
  int    LevelFill = 1;
  double DropTol = 0.0;
  double Condest;
  
  Ifpack_CrsIct * ICT = NULL;
  ICT = new Ifpack_CrsIct(A,DropTol,LevelFill);
  // Init values from A
  ICT->InitValues(A);
  // compute the factors
  ICT->Factor();
  // and now estimate the condition number
  ICT->Condest(false,Condest);
  
  cout << Condest << endl;
    
  if( Comm.MyPID() == 0 ) {
    cout << "Condition number estimate (level-of-fill = "
	 << LevelFill <<  ") = " << Condest << endl;
  }

  // Define label for printing out during the solve phase
  string label = "Ifpack_CrsIct Preconditioner: LevelFill = " + toString(LevelFill) + 
                                                 " Overlap = 0"; 
  ICT->SetLabel(label.c_str());
  
  // Here we create an AztecOO object
  AztecOO solver;
  solver.SetUserMatrix(&A);
  solver.SetLHS(&x);
  solver.SetRHS(&b);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  
  // Here we set the IFPACK preconditioner and specify few parameters
  
  solver.SetPrecOperator(ICT);

  int Niters = 1200;
  solver.SetAztecOption(AZ_kspace, Niters);
  solver.SetAztecOption(AZ_output, 20); 
  solver.Iterate(Niters, 5.0e-5);

  if (ICT!=0) delete ICT;
//.........这里部分代码省略.........

int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  // The problem is defined on a 2D grid, global size is nx * nx.
  int nx = 30;
  Teuchos::ParameterList GaleriList;
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  // I wanna test funky values to be sure that they have the same
  // influence on the algorithms, both old and new
  int    LevelFill = 2;
  double DropTol = 0.3333;
  double Condest;
  
  Teuchos::RefCountPtr<Ifpack_CrsIct> ICT;
  ICT = Teuchos::rcp( new Ifpack_CrsIct(*A,DropTol,LevelFill) );
  ICT->SetAbsoluteThreshold(0.00123);
  ICT->SetRelativeThreshold(0.9876);
  // Init values from A
  ICT->InitValues(*A);
  // compute the factors
  ICT->Factor();
  // and now estimate the condition number
  ICT->Condest(false,Condest);
  
  if( Comm.MyPID() == 0 ) {
    cout << "Condition number estimate (level-of-fill = "
	 << LevelFill <<  ") = " << Condest << endl;
  }

  // Define label for printing out during the solve phase
  string label = "Ifpack_CrsIct Preconditioner: LevelFill = " + toString(LevelFill) + 
                                                 " Overlap = 0"; 
  ICT->SetLabel(label.c_str());
  
  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  int Niters = 1200;

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*ICT);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

  int OldIters = solver.NumIters();

  // now rebuild the same preconditioner using ICT, we expect the same
  // number of iterations

  Ifpack Factory;
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec = Teuchos::rcp( Factory.Create("IC", &*A) );

  Teuchos::ParameterList List;
  List.get("fact: level-of-fill", 2);
  List.get("fact: drop tolerance", 0.3333);
  List.get("fact: absolute threshold", 0.00123);
  List.get("fact: relative threshold", 0.9876);
  List.get("fact: relaxation value", 0.0);

  IFPACK_CHK_ERR(Prec->SetParameters(List));
  IFPACK_CHK_ERR(Prec->Compute());

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*Prec);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

//.........这里部分代码省略.........

//.........这里部分代码省略.........
      Teuchos::rcp(new ML_Epetra::MultiLevelPreconditioner(*sg_J, precParams,
							   false));
    
    // Setup InArgs and OutArgs
    EpetraExt::ModelEvaluator::InArgs sg_inArgs = sg_model->createInArgs();
    EpetraExt::ModelEvaluator::OutArgs sg_outArgs = sg_model->createOutArgs();
    sg_inArgs.set_p(1, sg_p);
    sg_inArgs.set_x(sg_x);
    sg_outArgs.set_f(sg_f);
    sg_outArgs.set_W(sg_J);

    // Evaluate model
    sg_model->evalModel(sg_inArgs, sg_outArgs);
    sg_M->ComputePreconditioner();

    // Print initial residual norm
    double norm_f;
    sg_f->Norm2(&norm_f);
    if (MyPID == 0)
      std::cout << "\nInitial residual norm = " << norm_f << std::endl;

    // Setup AztecOO solver
    AztecOO aztec;
    if (symmetric)
      aztec.SetAztecOption(AZ_solver, AZ_cg);
    else
      aztec.SetAztecOption(AZ_solver, AZ_gmres);
    aztec.SetAztecOption(AZ_precond, AZ_none);
    aztec.SetAztecOption(AZ_kspace, 20);
    aztec.SetAztecOption(AZ_conv, AZ_r0);
    aztec.SetAztecOption(AZ_output, 1);
    aztec.SetUserOperator(sg_J.get());
    aztec.SetPrecOperator(sg_M.get());
    aztec.SetLHS(sg_dx.get());
    aztec.SetRHS(sg_f.get());

    // Solve linear system
    aztec.Iterate(1000, 1e-12);

    // Update x
    sg_x->Update(-1.0, *sg_dx, 1.0);

    // Save solution to file
    EpetraExt::VectorToMatrixMarketFile("stochastic_solution_interlaced.mm", 
					*sg_x);

    // Save RHS to file
    EpetraExt::VectorToMatrixMarketFile("stochastic_RHS_interlaced.mm", 
					*sg_f);

    // Save operator to file
    EpetraExt::RowMatrixToMatrixMarketFile("stochastic_operator_interlaced.mm", 
					   *sg_J);

    // Save mean and variance to file
    Teuchos::RCP<Stokhos::EpetraVectorOrthogPoly> sg_x_poly = 
      sg_model->create_x_sg(View, sg_x.get());
    Epetra_Vector mean(*(model->get_x_map()));
    Epetra_Vector std_dev(*(model->get_x_map()));
    sg_x_poly->computeMean(mean);
    sg_x_poly->computeStandardDeviation(std_dev);
    EpetraExt::VectorToMatrixMarketFile("mean_gal_interlaced.mm", mean);
    EpetraExt::VectorToMatrixMarketFile("std_dev_gal_interlaced.mm", std_dev);

    // Compute new residual & response function
    EpetraExt::ModelEvaluator::OutArgs sg_outArgs2 = sg_model->createOutArgs();

int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int ierr=HIPS_Initialize(1);
  HIPS_ExitOnError(ierr);

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  Teuchos::ParameterList GaleriList;
  int nx = 100; 
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  //  GaleriList.set("ny", nx);
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
                 
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  Teuchos::RefCountPtr<Ifpack_HIPS> RILU;

  RILU = Teuchos::rcp( new Ifpack_HIPS(&*A) );

  Teuchos::ParameterList List;
  List.set("hips: id",0);
  List.set("hips: setup output",2);
  List.set("hips: iteration output",0);
  List.set("hips: drop tolerance",5e-3);
  List.set("hips: graph symmetric",1);
  RILU->SetParameters(List);

  
  RILU->Initialize();
  RILU->Compute();

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  int Niters = 50;

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_gmres);
  solver.SetPrecOperator(&*RILU);
  solver.SetAztecOption(AZ_output, 1); 
  solver.Iterate(Niters, 1.0e-8);

  int OldIters = solver.NumIters();


  HIPS_Finalize();
  
#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}

int shylu_local_solve<Epetra_CrsMatrix, Epetra_MultiVector>
(
    shylu_symbolic<Epetra_CrsMatrix,Epetra_MultiVector> *ssym,
    shylu_data<Epetra_CrsMatrix,Epetra_MultiVector> *data,
    shylu_config<Epetra_CrsMatrix,Epetra_MultiVector> *config,
    const Epetra_MultiVector& X,
    Epetra_MultiVector& Y
)
{
    int err;
#ifndef NDEBUG
    int nvectors = X.NumVectors();
    assert (nvectors == data->localrhs->NumVectors());
#endif // NDEBUG

    // Initialize the X vector for iterative solver
    data->Xs->PutScalar(0.0);

    // Get local portion of X
    data->localrhs->Import(X, *(data->BdImporter), Insert);


    data->localrhs->Print(std::cout);
    std::cout << " " << std::endl;
    data->locallhs->Print(std::cout);

    // locallhs is z in paper
    if (config->amesosForDiagonal) {
        std::cout << "calling amesos for diagon" << endl;
        ssym->OrigLP->SetRHS((data->localrhs).getRawPtr());
        ssym->OrigLP->SetLHS((data->locallhs).getRawPtr());
        std::cout << "set RHS and LHS " << std::endl;
        ssym->ReIdx_LP->fwd();
        ssym->Solver->Solve();
    }
    else {
        ssym->ifSolver->ApplyInverse(*(data->localrhs), *(data->locallhs));
    }

    err = ssym->R->Multiply(false, *(data->locallhs), *(data->temp1));
    assert (err == 0);

    // Export temp1 to a dist vector - temp2
    data->temp2->Import(*(data->temp1), *(data->DistImporter), Insert);

    //Epetra_MultiVector Bs(SMap, nvectors); // b_2 - R * z in ShyLU paper
    data->Bs->Import(X, *(data->BsImporter), Insert);
    data->Bs->Update(-1.0, *(data->temp2), 1.0);

    AztecOO *solver = 0;
    Epetra_LinearProblem Problem(data->Sbar.get(),
                                 (data->Xs).getRawPtr(), (data->Bs).getRawPtr());
    if ((config->schurSolver == "G") || (config->schurSolver == "IQR"))
    {
        IFPACK_CHK_ERR(data->iqrSolver->Solve(*(data->schur_op),
                                              *(data->Bs), *(data->Xs)));
    }
    else if (config->schurSolver == "Amesos")
    {
        Amesos_BaseSolver *solver2 = data->dsolver;
        data->OrigLP2->SetLHS((data->Xs).getRawPtr());
        data->OrigLP2->SetRHS((data->Bs).getRawPtr());
        data->ReIdx_LP2->fwd();
        //cout << "Calling solve *****************************" << endl;
        solver2->Solve();
        //cout << "Out of solve *****************************" << endl;
    }
    else
    {
        if (config->libName == "Belos")
        {
            solver = data->innersolver;
            solver->SetLHS((data->Xs).getRawPtr());
            solver->SetRHS((data->Bs).getRawPtr());
        }
        else
        {
            // See the comment above on why we are not able to reuse the solver
            // when outer solve is AztecOO as well.
            solver = new AztecOO();
            //solver.SetPrecOperator(precop_);
            solver->SetAztecOption(AZ_solver, AZ_gmres);
            // Do not use AZ_none
            solver->SetAztecOption(AZ_precond, AZ_dom_decomp);
            //solver->SetAztecOption(AZ_precond, AZ_none);
            //solver->SetAztecOption(AZ_precond, AZ_Jacobi);
            ////solver->SetAztecOption(AZ_precond, AZ_Neumann);
            //solver->SetAztecOption(AZ_overlap, 3);
            //solver->SetAztecOption(AZ_subdomain_solve, AZ_ilu);
            //solver->SetAztecOption(AZ_output, AZ_all);
            //solver->SetAztecOption(AZ_diagnostics, AZ_all);
            solver->SetProblem(Problem);
        }

        // What should be a good inner_tolerance :-) ?
        solver->Iterate(config->inner_maxiters, config->inner_tolerance);
    }

    // Import Xs locally
    data->LocalXs->Import(*(data->Xs), *(data->XsImporter), Insert);
//.........这里部分代码省略.........

int shylu_dist_solve<Epetra_CrsMatrix,Epetra_MultiVector>(
    shylu_symbolic<Epetra_CrsMatrix,Epetra_MultiVector> *ssym,
    shylu_data<Epetra_CrsMatrix,Epetra_MultiVector> *data,
    shylu_config<Epetra_CrsMatrix,Epetra_MultiVector> *config,
    const Epetra_MultiVector& X,
    Epetra_MultiVector& Y
)
{
    int err;
    AztecOO *solver = 0;
    assert(X.Map().SameAs(Y.Map()));
    //assert(X.Map().SameAs(A_->RowMap()));
    const Epetra_MultiVector *newX;
    newX = &X;
    //rd_->redistribute(X, newX);

    int nvectors = newX->NumVectors();

    // May have to use importer/exporter
    Epetra_Map BsMap(-1, data->Snr, data->SRowElems, 0, X.Comm());
    Epetra_Map BdMap(-1, data->Dnr, data->DRowElems, 0, X.Comm());

    Epetra_MultiVector Bs(BsMap, nvectors);
    Epetra_Import BsImporter(BsMap, newX->Map());

    assert(BsImporter.SourceMap().SameAs(newX->Map()));
    assert((newX->Map()).SameAs(BsImporter.SourceMap()));

    Bs.Import(*newX, BsImporter, Insert);
    Epetra_MultiVector Xs(BsMap, nvectors);

    Epetra_SerialComm LComm;        // Use Serial Comm for the local vectors.
    Epetra_Map LocalBdMap(-1, data->Dnr, data->DRowElems, 0, LComm);
    Epetra_MultiVector localrhs(LocalBdMap, nvectors);
    Epetra_MultiVector locallhs(LocalBdMap, nvectors);

    Epetra_MultiVector Z(BdMap, nvectors);

    Epetra_MultiVector Bd(BdMap, nvectors);
    Epetra_Import BdImporter(BdMap, newX->Map());
    assert(BdImporter.SourceMap().SameAs(newX->Map()));
    assert((newX->Map()).SameAs(BdImporter.SourceMap()));
    Bd.Import(*newX, BdImporter, Insert);

    int lda;
    double *values;
    err = Bd.ExtractView(&values, &lda);
    assert (err == 0);
    int nrows = ssym->C->RowMap().NumMyElements();

    // copy to local vector //TODO: OMP ?
    assert(lda == nrows);
    for (int v = 0; v < nvectors; v++)
    {
        for (int i = 0; i < nrows; i++)
        {
            err = localrhs.ReplaceMyValue(i, v, values[i+v*lda]);
            assert (err == 0);
        }
    }

    // TODO : Do we need to reset the lhs and rhs here ?
    if (config->amesosForDiagonal)
    {
        ssym->LP->SetRHS(&localrhs);
        ssym->LP->SetLHS(&locallhs);
        ssym->Solver->Solve();
    }
    else
    {
        ssym->ifSolver->ApplyInverse(localrhs, locallhs);
    }

    err = locallhs.ExtractView(&values, &lda);
    assert (err == 0);

    // copy to distributed vector //TODO: OMP ?
    assert(lda == nrows);
    for (int v = 0; v < nvectors; v++)
    {
        for (int i = 0; i < nrows; i++)
        {
            err = Z.ReplaceMyValue(i, v, values[i+v*lda]);
            assert (err == 0);
        }
    }

    Epetra_MultiVector temp1(BsMap, nvectors);
    ssym->R->Multiply(false, Z, temp1);
    Bs.Update(-1.0, temp1, 1.0);

    Xs.PutScalar(0.0);

    Epetra_LinearProblem Problem(data->Sbar.get(), &Xs, &Bs);
    if (config->schurSolver == "Amesos")
    {
        Amesos_BaseSolver *solver2 = data->dsolver;
        data->LP2->SetLHS(&Xs);
        data->LP2->SetRHS(&Bs);
        //cout << "Calling solve *****************************" << endl;
//.........这里部分代码省略.........