int main (int argc, char *argv[])
{
HYPRE_Int i;
int myid, num_procs;
int N, n;
HYPRE_Int ilower, iupper;
HYPRE_Int local_size, extra;
int solver_id;
int print_solution, print_system;
double h, h2;
HYPRE_IJMatrix A;
HYPRE_ParCSRMatrix parcsr_A;
HYPRE_IJVector b;
HYPRE_ParVector par_b;
HYPRE_IJVector x;
HYPRE_ParVector par_x;
HYPRE_Solver solver, precond;
/* Initialize MPI */
MPI_Init(&argc, &argv);
MPI_Comm_rank(MPI_COMM_WORLD, &myid);
MPI_Comm_size(MPI_COMM_WORLD, &num_procs);
/* Default problem parameters */
n = 33;
solver_id = 0;
print_solution = 0;
print_system = 0;
/* Parse command line */
{
int arg_index = 0;
int print_usage = 0;
while (arg_index < argc)
{
if ( strcmp(argv[arg_index], "-n") == 0 )
{
arg_index++;
n = atoi(argv[arg_index++]);
}
else if ( strcmp(argv[arg_index], "-solver") == 0 )
{
arg_index++;
solver_id = atoi(argv[arg_index++]);
}
else if ( strcmp(argv[arg_index], "-print_solution") == 0 )
{
arg_index++;
print_solution = 1;
}
else if ( strcmp(argv[arg_index], "-print_system") == 0 )
{
arg_index++;
print_system = 1;
}
else if ( strcmp(argv[arg_index], "-help") == 0 )
{
print_usage = 1;
break;
}
else
{
arg_index++;
}
}
if ((print_usage) && (myid == 0))
{
printf("\n");
printf("Usage: %s [<options>]\n", argv[0]);
printf("\n");
printf(" -n <n> : problem size in each direction (default: 33)\n");
printf(" -solver <ID> : solver ID\n");
printf(" 0 - AMG (default) \n");
printf(" 1 - AMG-PCG\n");
printf(" 8 - ParaSails-PCG\n");
printf(" 50 - PCG\n");
printf(" 61 - AMG-FlexGMRES\n");
printf(" -print_solution : print the solution vector\n");
printf(" -print_system : print the matrix and rhs\n");
printf("\n");
}
if (print_usage)
{
MPI_Finalize();
return (0);
}
}
/* Preliminaries: want at least one processor per row */
if (n*n < num_procs) n = sqrt(num_procs) + 1;
N = n*n; /* global number of rows */
h = 1.0/(n+1); /* mesh size*/
h2 = h*h;
/* Each processor knows only of its own rows - the range is denoted by ilower
and upper. Here we partition the rows. We account for the fact that
N may not divide evenly by the number of processors. */
local_size = N/num_procs;
extra = N - local_size*num_procs;
ilower = local_size*myid;
ilower += hypre_min(myid, extra);
iupper = local_size*(myid+1);
iupper += hypre_min(myid+1, extra);
iupper = iupper - 1;
/* How many rows do I have? */
local_size = iupper - ilower + 1;
/* Create the matrix.
Note that this is a square matrix, so we indicate the row partition
size twice (since number of rows = number of cols) */
HYPRE_IJMatrixCreate(MPI_COMM_WORLD, ilower, iupper, ilower, iupper, &A);
/* Choose a parallel csr format storage (see the User's Manual) */
HYPRE_IJMatrixSetObjectType(A, HYPRE_PARCSR);
/* Initialize before setting coefficients */
HYPRE_IJMatrixInitialize(A);
/* Now go through my local rows and set the matrix entries.
Each row has at most 5 entries. For example, if n=3:
A = [M -I 0; -I M -I; 0 -I M]
M = [4 -1 0; -1 4 -1; 0 -1 4]
Note that here we are setting one row at a time, though
one could set all the rows together (see the User's Manual).
*/
{
HYPRE_Int nnz;
double values[5];
HYPRE_Int cols[5];
for (i = ilower; i <= iupper; i++)
{
nnz = 0;
/* The left identity block:position i-n */
if ((i-n)>=0)
{
cols[nnz] = i-n;
values[nnz] = -1.0;
nnz++;
}
/* The left -1: position i-1 */
if (i%n)
{
cols[nnz] = i-1;
values[nnz] = -1.0;
nnz++;
}
/* Set the diagonal: position i */
cols[nnz] = i;
values[nnz] = 4.0;
nnz++;
/* The right -1: position i+1 */
if ((i+1)%n)
{
cols[nnz] = i+1;
values[nnz] = -1.0;
nnz++;
}
/* The right identity block:position i+n */
if ((i+n)< N)
{
cols[nnz] = i+n;
values[nnz] = -1.0;
nnz++;
}
/* Set the values for row i */
HYPRE_IJMatrixSetValues(A, 1, &nnz, &i, cols, values);
}
}
/* Assemble after setting the coefficients */
HYPRE_IJMatrixAssemble(A);
/* Note: for the testing of small problems, one may wish to read
in a matrix in IJ format (for the format, see the output files
from the -print_system option).
In this case, one would use the following routine:
HYPRE_IJMatrixRead( <filename>, MPI_COMM_WORLD,
HYPRE_PARCSR, &A );
<filename> = IJ.A.out to read in what has been printed out
by -print_system (processor numbers are omitted).
A call to HYPRE_IJMatrixRead is an *alternative* to the
following sequence of HYPRE_IJMatrix calls:
Create, SetObjectType, Initialize, SetValues, and Assemble
*/
/* Get the parcsr matrix object to use */
HYPRE_IJMatrixGetObject(A, (void**) &parcsr_A);
/* Create the rhs and solution */
HYPRE_IJVectorCreate(MPI_COMM_WORLD, ilower, iupper,&b);
HYPRE_IJVectorSetObjectType(b, HYPRE_PARCSR);
HYPRE_IJVectorInitialize(b);
HYPRE_IJVectorCreate(MPI_COMM_WORLD, ilower, iupper,&x);
HYPRE_IJVectorSetObjectType(x, HYPRE_PARCSR);
HYPRE_IJVectorInitialize(x);
/* Set the rhs values to h^2 and the solution to zero */
{
double *rhs_values, *x_values;
HYPRE_Int *rows;
rhs_values = calloc(local_size, sizeof(double));
x_values = calloc(local_size, sizeof(double));
rows = calloc(local_size, sizeof(HYPRE_Int));
for (i=0; i<local_size; i++)
{
rhs_values[i] = h2;
x_values[i] = 0.0;
rows[i] = ilower + i;
}
HYPRE_IJVectorSetValues(b, local_size, rows, rhs_values);
HYPRE_IJVectorSetValues(x, local_size, rows, x_values);
free(x_values);
free(rhs_values);
free(rows);
}
HYPRE_IJVectorAssemble(b);
/* As with the matrix, for testing purposes, one may wish to read in a rhs:
HYPRE_IJVectorRead( <filename>, MPI_COMM_WORLD,
HYPRE_PARCSR, &b );
as an alternative to the
following sequence of HYPRE_IJVectors calls:
Create, SetObjectType, Initialize, SetValues, and Assemble
*/
HYPRE_IJVectorGetObject(b, (void **) &par_b);
HYPRE_IJVectorAssemble(x);
HYPRE_IJVectorGetObject(x, (void **) &par_x);
/* Print out the system - files names will be IJ.out.A.XXXXX
and IJ.out.b.XXXXX, where XXXXX = processor id */
if (print_system)
{
HYPRE_IJMatrixPrint(A, "IJ.out.A");
HYPRE_IJVectorPrint(b, "IJ.out.b");
}
/* Choose a solver and solve the system */
/* AMG */
if (solver_id == 0)
{
HYPRE_Int num_iterations;
double final_res_norm;
/* Create solver */
HYPRE_BoomerAMGCreate(&solver);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_BoomerAMGSetPrintLevel(solver, 3); /* print solve info + parameters */
HYPRE_BoomerAMGSetCoarsenType(solver, 6); /* Falgout coarsening */
HYPRE_BoomerAMGSetRelaxType(solver, 3); /* G-S/Jacobi hybrid relaxation */
HYPRE_BoomerAMGSetNumSweeps(solver, 1); /* Sweeeps on each level */
HYPRE_BoomerAMGSetMaxLevels(solver, 20); /* maximum number of levels */
HYPRE_BoomerAMGSetTol(solver, 1e-7); /* conv. tolerance */
/* Now setup and solve! */
HYPRE_BoomerAMGSetup(solver, parcsr_A, par_b, par_x);
HYPRE_BoomerAMGSolve(solver, parcsr_A, par_b, par_x);
/* Run info - needed logging turned on */
HYPRE_BoomerAMGGetNumIterations(solver, &num_iterations);
HYPRE_BoomerAMGGetFinalRelativeResidualNorm(solver, &final_res_norm);
if (myid == 0)
{
printf("\n");
printf("Iterations = %lld\n", num_iterations);
printf("Final Relative Residual Norm = %e\n", final_res_norm);
printf("\n");
}
/* Destroy solver */
HYPRE_BoomerAMGDestroy(solver);
}
/* PCG */
else if (solver_id == 50)
{
HYPRE_Int num_iterations;
double final_res_norm;
/* Create solver */
HYPRE_ParCSRPCGCreate(MPI_COMM_WORLD, &solver);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_PCGSetMaxIter(solver, 1000); /* max iterations */
HYPRE_PCGSetTol(solver, 1e-7); /* conv. tolerance */
HYPRE_PCGSetTwoNorm(solver, 1); /* use the two norm as the stopping criteria */
HYPRE_PCGSetPrintLevel(solver, 2); /* prints out the iteration info */
HYPRE_PCGSetLogging(solver, 1); /* needed to get run info later */
/* Now setup and solve! */
HYPRE_ParCSRPCGSetup(solver, parcsr_A, par_b, par_x);
HYPRE_ParCSRPCGSolve(solver, parcsr_A, par_b, par_x);
/* Run info - needed logging turned on */
HYPRE_PCGGetNumIterations(solver, &num_iterations);
HYPRE_PCGGetFinalRelativeResidualNorm(solver, &final_res_norm);
if (myid == 0)
{
printf("\n");
printf("Iterations = %lld\n", num_iterations);
printf("Final Relative Residual Norm = %e\n", final_res_norm);
printf("\n");
}
/* Destroy solver */
HYPRE_ParCSRPCGDestroy(solver);
}
/* PCG with AMG preconditioner */
else if (solver_id == 1)
{
HYPRE_Int num_iterations;
double final_res_norm;
/* Create solver */
HYPRE_ParCSRPCGCreate(MPI_COMM_WORLD, &solver);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_PCGSetMaxIter(solver, 1000); /* max iterations */
HYPRE_PCGSetTol(solver, 1e-7); /* conv. tolerance */
HYPRE_PCGSetTwoNorm(solver, 1); /* use the two norm as the stopping criteria */
HYPRE_PCGSetPrintLevel(solver, 2); /* print solve info */
HYPRE_PCGSetLogging(solver, 1); /* needed to get run info later */
/* Now set up the AMG preconditioner and specify any parameters */
HYPRE_BoomerAMGCreate(&precond);
HYPRE_BoomerAMGSetPrintLevel(precond, 1); /* print amg solution info */
HYPRE_BoomerAMGSetCoarsenType(precond, 6);
HYPRE_BoomerAMGSetRelaxType(precond, 6); /* Sym G.S./Jacobi hybrid */
HYPRE_BoomerAMGSetNumSweeps(precond, 1);
HYPRE_BoomerAMGSetTol(precond, 0.0); /* conv. tolerance zero */
HYPRE_BoomerAMGSetMaxIter(precond, 1); /* do only one iteration! */
/* Set the PCG preconditioner */
HYPRE_PCGSetPrecond(solver, (HYPRE_PtrToSolverFcn) HYPRE_BoomerAMGSolve,
(HYPRE_PtrToSolverFcn) HYPRE_BoomerAMGSetup, precond);
/* Now setup and solve! */
HYPRE_ParCSRPCGSetup(solver, parcsr_A, par_b, par_x);
HYPRE_ParCSRPCGSolve(solver, parcsr_A, par_b, par_x);
/* Run info - needed logging turned on */
HYPRE_PCGGetNumIterations(solver, &num_iterations);
HYPRE_PCGGetFinalRelativeResidualNorm(solver, &final_res_norm);
if (myid == 0)
{
printf("\n");
printf("Iterations = %lld\n", num_iterations);
printf("Final Relative Residual Norm = %e\n", final_res_norm);
printf("\n");
}
/* Destroy solver and preconditioner */
HYPRE_ParCSRPCGDestroy(solver);
HYPRE_BoomerAMGDestroy(precond);
}
/* PCG with Parasails Preconditioner */
else if (solver_id == 8)
{
HYPRE_Int num_iterations;
double final_res_norm;
int sai_max_levels = 1;
double sai_threshold = 0.1;
double sai_filter = 0.05;
int sai_sym = 1;
/* Create solver */
HYPRE_ParCSRPCGCreate(MPI_COMM_WORLD, &solver);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_PCGSetMaxIter(solver, 1000); /* max iterations */
HYPRE_PCGSetTol(solver, 1e-7); /* conv. tolerance */
HYPRE_PCGSetTwoNorm(solver, 1); /* use the two norm as the stopping criteria */
HYPRE_PCGSetPrintLevel(solver, 2); /* print solve info */
HYPRE_PCGSetLogging(solver, 1); /* needed to get run info later */
/* Now set up the ParaSails preconditioner and specify any parameters */
HYPRE_ParaSailsCreate(MPI_COMM_WORLD, &precond);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_ParaSailsSetParams(precond, sai_threshold, sai_max_levels);
HYPRE_ParaSailsSetFilter(precond, sai_filter);
HYPRE_ParaSailsSetSym(precond, sai_sym);
HYPRE_ParaSailsSetLogging(precond, 3);
/* Set the PCG preconditioner */
HYPRE_PCGSetPrecond(solver, (HYPRE_PtrToSolverFcn) HYPRE_ParaSailsSolve,
(HYPRE_PtrToSolverFcn) HYPRE_ParaSailsSetup, precond);
/* Now setup and solve! */
HYPRE_ParCSRPCGSetup(solver, parcsr_A, par_b, par_x);
HYPRE_ParCSRPCGSolve(solver, parcsr_A, par_b, par_x);
/* Run info - needed logging turned on */
HYPRE_PCGGetNumIterations(solver, &num_iterations);
HYPRE_PCGGetFinalRelativeResidualNorm(solver, &final_res_norm);
if (myid == 0)
{
printf("\n");
printf("Iterations = %lld\n", num_iterations);
printf("Final Relative Residual Norm = %e\n", final_res_norm);
printf("\n");
}
/* Destory solver and preconditioner */
HYPRE_ParCSRPCGDestroy(solver);
HYPRE_ParaSailsDestroy(precond);
}
/* Flexible GMRES with AMG Preconditioner */
else if (solver_id == 61)
{
HYPRE_Int num_iterations;
double final_res_norm;
int restart = 30;
int modify = 1;
/* Create solver */
HYPRE_ParCSRFlexGMRESCreate(MPI_COMM_WORLD, &solver);
/* Set some parameters (See Reference Manual for more parameters) */
HYPRE_FlexGMRESSetKDim(solver, restart);
HYPRE_FlexGMRESSetMaxIter(solver, 1000); /* max iterations */
HYPRE_FlexGMRESSetTol(solver, 1e-7); /* conv. tolerance */
HYPRE_FlexGMRESSetPrintLevel(solver, 2); /* print solve info */
HYPRE_FlexGMRESSetLogging(solver, 1); /* needed to get run info later */
/* Now set up the AMG preconditioner and specify any parameters */
HYPRE_BoomerAMGCreate(&precond);
HYPRE_BoomerAMGSetPrintLevel(precond, 1); /* print amg solution info */
HYPRE_BoomerAMGSetCoarsenType(precond, 6);
HYPRE_BoomerAMGSetRelaxType(precond, 6); /* Sym G.S./Jacobi hybrid */
HYPRE_BoomerAMGSetNumSweeps(precond, 1);
HYPRE_BoomerAMGSetTol(precond, 0.0); /* conv. tolerance zero */
HYPRE_BoomerAMGSetMaxIter(precond, 1); /* do only one iteration! */
/* Set the FlexGMRES preconditioner */
HYPRE_FlexGMRESSetPrecond(solver, (HYPRE_PtrToSolverFcn) HYPRE_BoomerAMGSolve,
(HYPRE_PtrToSolverFcn) HYPRE_BoomerAMGSetup, precond);
if (modify)
/* this is an optional call - if you don't call it, hypre_FlexGMRESModifyPCDefault
is used - which does nothing. Otherwise, you can define your own, similar to
the one used here */
HYPRE_FlexGMRESSetModifyPC( solver,
(HYPRE_PtrToModifyPCFcn) hypre_FlexGMRESModifyPCAMGExample);
/* Now setup and solve! */
HYPRE_ParCSRFlexGMRESSetup(solver, parcsr_A, par_b, par_x);
HYPRE_ParCSRFlexGMRESSolve(solver, parcsr_A, par_b, par_x);
/* Run info - needed logging turned on */
HYPRE_FlexGMRESGetNumIterations(solver, &num_iterations);
HYPRE_FlexGMRESGetFinalRelativeResidualNorm(solver, &final_res_norm);
if (myid == 0)
{
printf("\n");
printf("Iterations = %lld\n", num_iterations);
printf("Final Relative Residual Norm = %e\n", final_res_norm);
printf("\n");
}
/* Destory solver and preconditioner */
HYPRE_ParCSRFlexGMRESDestroy(solver);
HYPRE_BoomerAMGDestroy(precond);
}
else
{
if (myid ==0) printf("Invalid solver id specified.\n");
}
/* Print the solution */
if (print_solution)
HYPRE_IJVectorPrint(x, "ij.out.x");
/* Clean up */
HYPRE_IJMatrixDestroy(A);
HYPRE_IJVectorDestroy(b);
HYPRE_IJVectorDestroy(x);
/* Finalize MPI*/
MPI_Finalize();
return(0);
}
inline void numfact(unsigned int ncol, int* I, int* loc2glob, int* J, K* C) {
static_assert(std::is_same<double, K>::value, "Hypre only supports double-precision floating-point real numbers");
static_assert(S == 'G', "Hypre only supports nonsymmetric matrices");
HYPRE_IJMatrixCreate(DMatrix::_communicator, loc2glob[0], loc2glob[1], loc2glob[0], loc2glob[1], &_A);
HYPRE_IJMatrixSetObjectType(_A, HYPRE_PARCSR);
HYPRE_IJMatrixSetRowSizes(_A, I + 1);
_local = ncol;
int* rows = new int[3 * _local]();
int* diag_sizes = rows + _local;
int* offdiag_sizes = diag_sizes + _local;
rows[0] = I[0];
for(unsigned int i = 0; i < _local; ++i) {
std::for_each(J + rows[0], J + rows[0] + I[i + 1], [&](int& j) { (j < loc2glob[0] || loc2glob[1] < j) ? ++offdiag_sizes[i] : ++diag_sizes[i]; });
rows[0] += I[i + 1];
}
HYPRE_IJMatrixSetDiagOffdSizes(_A, diag_sizes, offdiag_sizes);
HYPRE_IJMatrixSetMaxOffProcElmts(_A, 0);
HYPRE_IJMatrixInitialize(_A);
std::iota(rows, rows + _local, loc2glob[0]);
HYPRE_IJMatrixSetValues(_A, _local, I + 1, rows, J, C);
HYPRE_IJMatrixAssemble(_A);
HYPRE_IJVectorCreate(DMatrix::_communicator, loc2glob[0], loc2glob[1], &_b);
HYPRE_IJVectorSetObjectType(_b, HYPRE_PARCSR);
HYPRE_IJVectorInitialize(_b);
HYPRE_IJVectorCreate(DMatrix::_communicator, loc2glob[0], loc2glob[1], &_x);
HYPRE_IJVectorSetObjectType(_x, HYPRE_PARCSR);
HYPRE_IJVectorInitialize(_x);
delete [] rows;
delete [] I;
delete [] loc2glob;
HYPRE_BoomerAMGCreate(_strategy == 1 ? &_solver : &_precond);
HYPRE_BoomerAMGSetCoarsenType(_strategy == 1 ? _solver : _precond, 6); /* Falgout coarsening */
HYPRE_BoomerAMGSetRelaxType(_strategy == 1 ? _solver : _precond, 6); /* G-S/Jacobi hybrid relaxation */
HYPRE_BoomerAMGSetNumSweeps(_strategy == 1 ? _solver : _precond, 1); /* sweeps on each level */
HYPRE_BoomerAMGSetMaxLevels(_strategy == 1 ? _solver : _precond, 10); /* maximum number of levels */
HYPRE_ParCSRMatrix parcsr_A;
HYPRE_IJMatrixGetObject(_A, reinterpret_cast<void**>(&parcsr_A));
HYPRE_ParVector par_b;
HYPRE_IJVectorGetObject(_b, reinterpret_cast<void**>(&par_b));
HYPRE_ParVector par_x;
HYPRE_IJVectorGetObject(_x, reinterpret_cast<void**>(&par_x));
if(_strategy == 1) {
HYPRE_BoomerAMGSetTol(_solver, 1.0e-8);
HYPRE_BoomerAMGSetMaxIter(_solver, 1000);
HYPRE_BoomerAMGSetPrintLevel(_solver, 1);
HYPRE_BoomerAMGSetup(_solver, parcsr_A, nullptr, nullptr);
}
else {
HYPRE_BoomerAMGSetTol(_precond, 0.0);
HYPRE_BoomerAMGSetMaxIter(_precond, 1);
HYPRE_BoomerAMGSetPrintLevel(_precond, 1);
if(_strategy == 2) {
HYPRE_ParCSRPCGCreate(DMatrix::_communicator, &_solver);
HYPRE_PCGSetMaxIter(_solver, 500);
HYPRE_PCGSetTol(_solver, 1.0e-8);
HYPRE_PCGSetTwoNorm(_solver, 1);
HYPRE_PCGSetPrintLevel(_solver, 1);
HYPRE_PCGSetLogging(_solver, 1);
HYPRE_PCGSetPrecond(_solver, reinterpret_cast<HYPRE_PtrToSolverFcn>(HYPRE_BoomerAMGSolve), reinterpret_cast<HYPRE_PtrToSolverFcn>(HYPRE_BoomerAMGSetup), _precond);
HYPRE_ParCSRPCGSetup(_solver, parcsr_A, par_b, par_x);
}
else {
HYPRE_ParCSRFlexGMRESCreate(DMatrix::_communicator, &_solver);
HYPRE_FlexGMRESSetKDim(_solver, 50);
HYPRE_FlexGMRESSetMaxIter(_solver, 500);
HYPRE_FlexGMRESSetTol(_solver, 1.0e-8);
HYPRE_FlexGMRESSetPrintLevel(_solver, 1);
HYPRE_FlexGMRESSetLogging(_solver, 1);
HYPRE_FlexGMRESSetPrecond(_solver, reinterpret_cast<HYPRE_PtrToSolverFcn>(HYPRE_BoomerAMGSolve), reinterpret_cast<HYPRE_PtrToSolverFcn>(HYPRE_BoomerAMGSetup), _precond);
HYPRE_ParCSRFlexGMRESSetup(_solver, parcsr_A, par_b, par_x);
}
}
}
HYPRE_Int
HYPRE_SStructFlexGMRESSetTol( HYPRE_SStructSolver solver,
double tol )
{
return( HYPRE_FlexGMRESSetTol( (HYPRE_Solver) solver, tol ) );
}
