#include "pargrid.h"
/*+ worker - Solve a nonsymmetric sparse matrix problem associated with a grid
Input Parameters:
grid - the given grid
procinfo - the processor information (in BlockSolve format)
+*/
void worker(par_grid *grid, BSprocinfo *procinfo)
{
int i, j, n, bs = 1, n_solves = 13, write_option = 0;
BSspmat *A;
BSpar_mat *pA, *f_pA;
BScomm *Acomm, *f_comm;
FLOAT shifted_diag, shifted_diag_inc, residual[2];
int num_iter;
FLOAT *x, *rhs, t;
extern double drand48();
/* number grid to use in matrix assembly */
num_grid3d(grid,procinfo);
/* now call the routines to set up the matrix */
A = get_mat3d(grid,procinfo);
/* Set symmetry and storage scheme to be used */
BSset_mat_symmetric(A,grid->symmetric);
BSset_mat_icc_storage(A,grid->icc_storage);
/* write out matrix */
if(write_option) write_mat_matlab("MAT.m",A,procinfo);
/* permute the matrix */
pA = BSmain_perm(procinfo,A); CHKERR(0);
/* diagonally scale the matrix */
BSscale_diag(pA,pA->diag,procinfo); CHKERR(0);
/* set up the communication structure for triangular matrix solution */
Acomm = BSsetup_forward(pA,procinfo); CHKERR(0);
/* shifted_diag is the initial diagonal */
shifted_diag = .80;
shifted_diag_inc = 1.2/(n_solves-1);
/* get a copy of the sparse matrix */
f_pA = BScopy_par_mat(pA); CHKERR(0);
/* set up a communication structure for factorization */
f_comm = BSsetup_factor(f_pA,procinfo); CHKERR(0);
/* set diagonal to initial shifted_diag */
BSset_diag(f_pA,shifted_diag,procinfo); CHKERR(0);
srand48((long)(11311));
for (j=0; j<n_solves; j++) {
/* factor the matrix until successful */
while (BSfactor(f_pA,f_comm,procinfo) != 0) {
CHKERR(0);
/* recopy the nonzeroes */
BScopy_nz(pA,f_pA); CHKERR(0);
/* increment the diagonal shift */
shifted_diag += 0.1;
BSset_diag(f_pA,shifted_diag,procinfo); CHKERR(0);
}
CHKERR(0);
/* set up the rhs and the x vector */
n = A->num_rows;
rhs = (FLOAT *) MALLOC(sizeof(FLOAT)*bs*n);
x = (FLOAT *) MALLOC(sizeof(FLOAT)*bs*n);
t = A->global_num_rows;
t = 1.0/sqrt(t);
for (i=0; i<n; i++) {
rhs[i] = drand48();
rhs[i] = t;
x[i] = 0.0;
if(bs==2) {
rhs[i+n] = t*i;
x[i+n] = 0.0;
}
}
/* write out rhs */
if(write_option) write_vec_matlab("RHS.m",rhs,A,procinfo);
/* solve it */
BSctx_set_max_it(procinfo,100);
BSctx_set_restart(procinfo,20);
BSctx_set_guess(procinfo,TRUE);
BSctx_set_tol(procinfo,1.0e-7);
if(j>0) BSctx_set_pr(procinfo,FALSE);
num_iter = BSpar_solve(pA,f_pA,Acomm,rhs,x,residual,procinfo); CHKERR(0);
if (procinfo->my_id == 0) {
printf(" shifted_diag(%d) = %f; num_iter(%d) = %d;\n",j+1,shifted_diag,
j+1,num_iter);
/*
printf("Took %d iterations: residuals = ",num_iter);
for (i=0; i<bs; i++)
printf("%e ",residual[i]);
printf("\n");
*/
}
/* write out ans */
if(write_option) write_vec_matlab("ANS.m",x,A,procinfo);
FREE(rhs);
FREE(x);
/* set up new system, increment the diagonal shift */
BScopy_nz(pA,f_pA); CHKERR(0);
shifted_diag += shifted_diag_inc;
BSset_diag(f_pA,shifted_diag,procinfo); CHKERR(0);
}
/* free the grid */
free_grid(grid);
/* free the spmat */
BSfree_easymat(A);
/* free the par mat, etc. */
BSfree_par_mat(pA);
BSfree_copy_par_mat(f_pA);
BSfree_comm(Acomm);
BSfree_comm(f_comm);
}
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