test_gcrodr_complex_hb.cpp

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//                 Belos: Block Linear Solvers Package
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// This driver reads a problem from a Harwell-Boeing (HB) file.
// The right-hand-side from the HB file is used instead of random vectors.
// The initial guesses are all set to zero.
//
// NOTE: No preconditioner is used in this case.
//
#include "BelosConfigDefs.hpp"
#include "BelosLinearProblem.hpp"
#include "BelosGCRODRSolMgr.hpp"
#include "Teuchos_CommandLineProcessor.hpp"
#include "Teuchos_ParameterList.hpp"

#ifdef HAVE_MPI
#include <mpi.h>
#endif

// I/O for Harwell-Boeing files
#ifdef HAVE_BELOS_TRIUTILS
#include "Trilinos_Util_iohb.h"
#endif

#include "MyMultiVec.hpp"
#include "MyBetterOperator.hpp"
#include "MyOperator.hpp"

using namespace Teuchos;

int main(int argc, char *argv[]) {
  //
  typedef std::complex<double>              ST;
  typedef ScalarTraits<ST>                 SCT;
  typedef SCT::magnitudeType                MT;
  typedef Belos::MultiVec<ST>               MV;
  typedef Belos::Operator<ST>               OP;
  typedef Belos::MultiVecTraits<ST,MV>     MVT;
  typedef Belos::OperatorTraits<ST,MV,OP>  OPT;
  ST one  = SCT::one();
  ST zero = SCT::zero();

  int info = 0;
  bool norm_failure = false;

  Teuchos::GlobalMPISession session(&argc, &argv, NULL);
  int MyPID = session.getRank();

  using Teuchos::RCP;
  using Teuchos::rcp;

  bool success = false;
  bool verbose = false;
  try {
    bool proc_verbose = false;
    int frequency = -1;  // how often residuals are printed by solver
    int blocksize = 1;
    int numrhs = 1;
    std::string filename("mhd1280b.cua");
    MT tol = 1.0e-5;  // relative residual tolerance

    CommandLineProcessor cmdp(false,true);
    cmdp.setOption("verbose","quiet",&verbose,"Print messages and results.");
    cmdp.setOption("frequency",&frequency,"Solvers frequency for printing residuals (#iters).");
    cmdp.setOption("filename",&filename,"Filename for Harwell-Boeing test matrix.");
    cmdp.setOption("tol",&tol,"Relative residual tolerance used by GCRODR solver.");
    cmdp.setOption("num-rhs",&numrhs,"Number of right-hand sides to be solved for.");
    if (cmdp.parse(argc,argv) != CommandLineProcessor::PARSE_SUCCESSFUL) {
      return EXIT_FAILURE;
    }

    proc_verbose = verbose && (MyPID==0);  /* Only print on the zero processor */
    if (proc_verbose) {
      std::cout << Belos::Belos_Version() << std::endl << std::endl;
    }
    if (!verbose)
      frequency = -1;  // reset frequency if test is not verbose

#ifndef HAVE_BELOS_TRIUTILS
    std::cout << "This test requires Triutils. Please configure with --enable-triutils." << std::endl;
    if (MyPID==0) {
      std::cout << "End Result: TEST FAILED" << std::endl;
    }
    return EXIT_FAILURE;
#endif
    // Get the data from the HB file
    int dim,dim2,nnz;
    MT *dvals;
    int *colptr,*rowind;
    ST *cvals;
    nnz = -1;
    info = readHB_newmat_double(filename.c_str(),&dim,&dim2,&nnz,
        &colptr,&rowind,&dvals);
    if (info == 0 || nnz < 0) {
      if (MyPID==0) {
        std::cout << "Error reading '" << filename << "'" << std::endl;
        std::cout << "End Result: TEST FAILED" << std::endl;
      }
      return EXIT_FAILURE;
    }
    // Convert interleaved doubles to std::complex values
    cvals = new ST[nnz];
    for (int ii=0; ii<nnz; ii++) {
      cvals[ii] = ST(dvals[ii*2],dvals[ii*2+1]);
    }
    // Build the problem matrix
    RCP< MyBetterOperator<ST> > A
      = rcp( new MyBetterOperator<ST>(dim,colptr,nnz,rowind,cvals) );
    // ********Other information used by block solver***********
    // *****************(can be user specified)******************
    int maxits = dim/blocksize; // maximum number of iterations to run
    int numBlocks = 100;
    int numRecycledBlocks = 20;
    int numIters1, numIters2, numIters3;
    ParameterList belosList;
    belosList.set( "Maximum Iterations", maxits );         // Maximum number of iterations allowed
    belosList.set( "Convergence Tolerance", tol );         // Relative convergence tolerance requested
    belosList.set( "Verbosity", Belos::Errors + Belos::Warnings + Belos::StatusTestDetails + Belos::TimingDetails);
    belosList.set( "Num Blocks", numBlocks );
    belosList.set( "Num Recycled Blocks", numRecycledBlocks );
    // Construct the right-hand side and solution multivectors.
    // NOTE:  The right-hand side will be constructed such that the solution is
    // a vectors of one.
    RCP<MyMultiVec<ST> > soln = rcp( new MyMultiVec<ST>(dim,numrhs) );
    RCP<MyMultiVec<ST> > rhs = rcp( new MyMultiVec<ST>(dim,numrhs) );
    MVT::MvRandom( *soln );
    OPT::Apply( *A, *soln, *rhs );
    MVT::MvInit( *soln, zero );
    //  Construct an unpreconditioned linear problem instance.
    RCP<Belos::LinearProblem<ST,MV,OP> > problem =
      rcp( new Belos::LinearProblem<ST,MV,OP>( A, soln, rhs ) );
    bool set = problem->setProblem();
    if (set == false) {
      if (proc_verbose)
        std::cout << std::endl << "ERROR:  Belos::LinearProblem failed to set up correctly!" << std::endl;
      return EXIT_FAILURE;
    }
    // *******************************************************************
    // *************Start the GCRODR iteration***********************
    // *******************************************************************
    Belos::GCRODRSolMgr<ST,MV,OP> solver( problem, rcp(&belosList,false) );
    // **********Print out information about problem*******************
    if (proc_verbose) {
      std::cout << std::endl << std::endl;
      std::cout << "Dimension of matrix: " << dim << std::endl;
      std::cout << "Number of right-hand sides: " << numrhs << std::endl;
      std::cout << "Block size used by solver: " << blocksize << std::endl;
      std::cout << "Max number of GCRODR iterations: " << maxits << std::endl;
      std::cout << "Relative residual tolerance: " << tol << std::endl;
      std::cout << std::endl;
    }
    // Perform solve
    Belos::ReturnType ret = solver.solve();
    // Get number of iterations
    numIters1=solver.getNumIters();
    // Compute actual residuals.
    RCP<MyMultiVec<ST> > temp = rcp( new MyMultiVec<ST>(dim,numrhs) );
    std::vector<MT> norm_num(numrhs), norm_denom(numrhs);
    OPT::Apply( *A, *soln, *temp );
    MVT::MvAddMv( one, *rhs, -one, *temp, *temp );
    MVT::MvNorm( *temp, norm_num );
    MVT::MvNorm( *rhs, norm_denom );
    for (int i=0; i<numrhs; ++i) {
      if (proc_verbose)
        std::cout << "Relative residual "<<i<<" : " << norm_num[i] / norm_denom[i] << std::endl;
      if ( norm_num[i] / norm_denom[i] > tol ) {
        norm_failure = true;
      }
    }
    // Resolve linear system with same rhs and recycled space
    MVT::MvInit( *soln, zero );
    solver.reset(Belos::Problem);
    ret = solver.solve();
    numIters2=solver.getNumIters();

    // Resolve linear system (again) with same rhs and recycled space
    MVT::MvInit( *soln, zero );
    solver.reset(Belos::Problem);
    ret = solver.solve();
    numIters3=solver.getNumIters();
    // Clean up.
    delete [] dvals;
    delete [] colptr;
    delete [] rowind;
    delete [] cvals;
    // Test for failures
    if ( ret!=Belos::Converged || norm_failure || numIters1 < numIters2 || numIters2 < numIters3 ) {
      success = false;
      if (proc_verbose)
        std::cout << "End Result: TEST FAILED" << std::endl;
    } else {
      success = true;
      if (proc_verbose)
        std::cout << "End Result: TEST PASSED" << std::endl;
    }
  }
  TEUCHOS_STANDARD_CATCH_STATEMENTS(verbose, std::cerr, success);

  return ( success ? EXIT_SUCCESS : EXIT_FAILURE );
} // end test_gcrodr_complex_hb.cpp