int main(int argc, char* argv[])
{
//
// Get a default output stream from the Teuchos::VerboseObjectBase
//
Teuchos::RCP<Teuchos::FancyOStream>
out = Teuchos::VerboseObjectBase::getDefaultOStream();
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
#ifdef HAVE_COMPLEX
typedef std::complex<double> ST; // Scalar-type typedef
#elif HAVE_COMPLEX_H
typedef std::complex<double> ST; // Scalar-type typedef
#else
typedef double ST; // Scalar-type typedef
#endif
typedef Teuchos::ScalarTraits<ST>::magnitudeType MT; // Magnitude-type typedef
typedef int OT; // Ordinal-type typedef
ST one = Teuchos::ScalarTraits<ST>::one();
ST zero = Teuchos::ScalarTraits<ST>::zero();
#ifdef HAVE_MPI
MPI_Comm mpiComm = MPI_COMM_WORLD;
const Tpetra::MpiPlatform<OT,OT> ordinalPlatform(mpiComm);
const Tpetra::MpiPlatform<OT,ST> scalarPlatform(mpiComm);
#else
const Tpetra::SerialPlatform<OT,OT> ordinalPlatform;
const Tpetra::SerialPlatform<OT,ST> scalarPlatform;
#endif
//
// Get the data from the HB file
//
// Name of input matrix file
std::string matrixFile = "mhd1280b.cua";
int info=0;
int dim,dim2,nnz;
MT *dvals;
int *colptr,*rowind;
ST *cvals;
nnz = -1;
info = readHB_newmat_double(matrixFile.c_str(),&dim,&dim2,&nnz,
&colptr,&rowind,&dvals);
if (info == 0 || nnz < 0) {
*out << "Error reading '" << matrixFile << "'" << std::endl;
}
#ifdef HAVE_MPI
MPI_Finalize();
#endif
// 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]);
}
// Declare global dimension of the linear operator
OT globalDim = dim;
// Create the element space and std::vector space
const Tpetra::ElementSpace<OT> elementSpace(globalDim,0,ordinalPlatform);
const Tpetra::VectorSpace<OT,ST> vectorSpace(elementSpace,scalarPlatform);
// Create my implementation of a Tpetra::Operator
RCP<Tpetra::Operator<OT,ST> >
tpetra_A = rcp( new MyOperator<OT,ST>(vectorSpace,dim,colptr,nnz,rowind,cvals) );
// Create a Thyra linear operator (A) using the Tpetra::CisMatrix (tpetra_A).
RCP<Thyra::LinearOpBase<ST> >
A = Teuchos::rcp( new Thyra::TpetraLinearOp<OT,ST>(tpetra_A) );
//
// Set the parameters for the Belos LOWS Factory and create a parameter list.
//
int blockSize = 1;
int maxIterations = globalDim;
int maxRestarts = 15;
int gmresKrylovLength = 50;
int outputFrequency = 100;
bool outputMaxResOnly = true;
MT maxResid = 1e-5;
Teuchos::RCP<Teuchos::ParameterList>
belosLOWSFPL = Teuchos::rcp( new Teuchos::ParameterList() );
belosLOWSFPL->set("Solver Type","Block GMRES");
Teuchos::ParameterList& belosLOWSFPL_solver =
belosLOWSFPL->sublist("Solver Types");
Teuchos::ParameterList& belosLOWSFPL_gmres =
belosLOWSFPL_solver.sublist("Block GMRES");
belosLOWSFPL_gmres.set("Maximum Iterations",int(maxIterations));
belosLOWSFPL_gmres.set("Convergence Tolerance",MT(maxResid));
belosLOWSFPL_gmres.set("Maximum Restarts",int(maxRestarts));
belosLOWSFPL_gmres.set("Block Size",int(blockSize));
belosLOWSFPL_gmres.set("Num Blocks",int(gmresKrylovLength));
belosLOWSFPL_gmres.set("Output Frequency",int(outputFrequency));
belosLOWSFPL_gmres.set("Show Maximum Residual Norm Only",bool(outputMaxResOnly));
// Whether the linear solver succeeded.
// (this will be set during the residual check at the end)
bool success = true;
// Number of random right-hand sides we will be solving for.
int numRhs = 1;
// Get the domain space for the Thyra linear operator
Teuchos::RCP<const Thyra::VectorSpaceBase<ST> > domain = A->domain();
// Create the Belos LOWS factory.
Teuchos::RCP<Thyra::LinearOpWithSolveFactoryBase<ST> >
belosLOWSFactory = Teuchos::rcp(new Thyra::BelosLinearOpWithSolveFactory<ST>());
// Set the parameter list to specify the behavior of the factory.
belosLOWSFactory->setParameterList( belosLOWSFPL );
// Set the output stream and the verbosity level (prints to std::cout by defualt)
// NOTE: Set to VERB_NONE for no output from the solver.
belosLOWSFactory->setVerbLevel(Teuchos::VERB_LOW);
// Create a BelosLinearOpWithSolve object from the Belos LOWS factory.
Teuchos::RCP<Thyra::LinearOpWithSolveBase<ST> >
nsA = belosLOWSFactory->createOp();
// Initialize the BelosLinearOpWithSolve object with the Thyra linear operator.
Thyra::initializeOp<ST>( *belosLOWSFactory, A, &*nsA );
// Create a right-hand side with numRhs vectors in it.
Teuchos::RCP< Thyra::MultiVectorBase<ST> >
b = Thyra::createMembers(domain, numRhs);
// Create an initial std::vector with numRhs vectors in it and initialize it to one.
Teuchos::RCP< Thyra::MultiVectorBase<ST> >
x = Thyra::createMembers(domain, numRhs);
Thyra::assign(&*x, one);
// Initialize the right-hand side so that the solution is a std::vector of ones.
A->apply( Thyra::NONCONJ_ELE, *x, &*b );
Thyra::assign(&*x, zero);
// Perform solve using the linear operator to get the approximate solution of Ax=b,
// where b is the right-hand side and x is the left-hand side.
Thyra::SolveStatus<ST> solveStatus;
solveStatus = Thyra::solve( *nsA, Thyra::NONCONJ_ELE, *b, &*x );
// Print out status of solve.
*out << "\nBelos LOWS Status: "<< solveStatus << std::endl;
//
// Compute residual and ST check convergence.
//
std::vector<MT> norm_b(numRhs), norm_res(numRhs);
Teuchos::RCP< Thyra::MultiVectorBase<ST> >
y = Thyra::createMembers(domain, numRhs);
// Compute the column norms of the right-hand side b.
Thyra::norms_2( *b, &norm_b[0] );
// Compute y=A*x, where x is the solution from the linear solver.
A->apply( Thyra::NONCONJ_ELE, *x, &*y );
// Compute A*x-b = y-b
Thyra::update( -one, *b, &*y );
// Compute the column norms of A*x-b.
Thyra::norms_2( *y, &norm_res[0] );
// Print out the final relative residual norms.
MT rel_res = 0.0;
*out << "Final relative residual norms" << std::endl;
for (int i=0; i<numRhs; ++i) {
rel_res = norm_res[i]/norm_b[i];
if (rel_res > maxResid)
success = false;
*out << "RHS " << i+1 << " : "
<< std::setw(16) << std::right << rel_res << std::endl;
}
return ( success ? 0 : 1 );
}
int main(int argc, char *argv[])
{
int M, N, nonzeros, Nrhs;
int *colptr, *rowind;
double *val = NULL;
double *rhs;
int rhsentries = 0;
double *guess;
double *exact = NULL;
char *Type;
char Ptrfmt[]="(13I6)";
char Indfmt[]="(16I5)";
char Valfmt[]="(3E26.18)";
char Rhsfmt[]="(3E26.18)";
int i=0;
if (argc < 3)
{
fprintf(stderr,"Usage: %s HBfile HBfileout\n", argv[0]);
exit(-1);
}
/* Get information about the array stored in the file specified in the */
/* argument list: */
fprintf(stderr,"Reading matrix info from %s...\n",argv[1]);
readHB_info(argv[1], &M, &N, &nonzeros, &Type, &Nrhs);
fprintf(stderr,"Matrix in file %s is %d x %d, with %d nonzeros with type %s;\n",
argv[1], M, N, nonzeros, Type);
fprintf(stderr,"%d right-hand-side(s) available.\n",Nrhs);
/* Read the matrix information, generating the associated storage arrays */
fprintf(stderr,"Reading the matrix from %s...\n",argv[1]);
readHB_newmat_double(argv[1], &M, &N, &nonzeros, &colptr, &rowind, &val);
/* If a rhs is specified in the file, read one, generating the associate storage */
if (Nrhs > 0) {
fprintf(stderr,"Reading right-hand-side vector(s) from %s...\n",argv[1]);
readHB_newaux_double(argv[1], 'F', &rhs);
}
/* Generate a new Guess vector (all zeros) */
if ( Type[0] == 'R' )
rhsentries = M*Nrhs;
else if ( Type[0] == 'C' )
rhsentries = 2*M*Nrhs;
guess = (double *) malloc(rhsentries*sizeof(double));
for (i = 0; i < rhsentries ;i++)
guess[i] = 0;
if (Nrhs > 0) {
fprintf(
stderr,
"Writing the matrix and right-hand-side/guess vector(s) from %s...\n",
argv[1]
);
} else {
fprintf(
stderr,
"Writing the matrix from %s...\n",
argv[1]
);
}
writeHB_mat_double(argv[2], M, N, nonzeros, colptr, rowind, val, Nrhs, rhs,
guess, exact, "Test Title", "Test Key", Type, Ptrfmt,Indfmt,Valfmt,Rhsfmt,"FGN");
fprintf(stderr,"**** Successful completion of %s. Generated %s. ****\n",argv[0],argv[2]);
return 0;
}