void AZK_create_linsys_no_copy(double *xr, double *xi, double *br, double *bi,
int *options, double *params, int *proc_config,
AZ_MATRIX *Amat_real, AZ_MATRIX *Amat_imag,
double **x, double **b, AZ_MATRIX **Amat)
{
/*
Transforms a complex-valued system
(Ar +i*Ai) * (xr + i*xi) = (br + i*bi)
where double precision arrays hold the real and imaginary parts separately.
Input arguments:
================
xr,xi: On input, contains the initial guess, real part in xr and
imaginary part in xi. On output contains the solution to
the linear system.
br,bi: Right hand side of linear system.
Output arguments:
=================
x: Komplex version of initial guess and solution.
b: Komplex version of RHS.
Amat: Komplex version of matrix stored as an AZ_MATRIX structure.
*/
AZ_KOMPLEX *linsys_pass_data;
int N_equations, N_blk_equations, N_real, N_external;
int *data_org_real, *data_org_imag;
int *komplex_to_real, *komplex_to_imag;
int i;
if (Amat_real->has_global_indices || Amat_imag->has_global_indices)
AZ_perror("AZK_create_linsys_no_copy requires local indices");
linsys_pass_data = (AZ_KOMPLEX *) AZ_allocate(sizeof(AZ_KOMPLEX));
if (linsys_pass_data == NULL)
AZ_perror("AZK_create_linsys_no_copy: Out of memory.");
data_org_real = Amat_real->data_org;
data_org_imag = Amat_imag->data_org;
N_real = data_org_real[AZ_N_internal] + data_org_real[AZ_N_border];
N_equations = 2 * N_real;
N_blk_equations = N_equations;
N_external = AZ_MAX(data_org_real[AZ_N_external], data_org_imag[AZ_N_external]);
if (Amat_real->matrix_type == AZ_MSR_MATRIX) {
Amat_real->data_org[AZ_N_int_blk] = Amat_real->data_org[AZ_N_internal];
Amat_real->data_org[AZ_N_bord_blk] = Amat_real->data_org[AZ_N_border];
N_blk_equations = N_equations;
}
else if (Amat_real->matrix_type == AZ_VBR_MATRIX)
{
N_blk_equations = data_org_real[AZ_N_int_blk] + data_org_real[AZ_N_bord_blk];
}
else if (Amat_real->matrix_type == AZ_USER_MATRIX) {
Amat_real->data_org[AZ_N_int_blk] = Amat_real->data_org[AZ_N_internal];
Amat_real->data_org[AZ_N_bord_blk] = Amat_real->data_org[AZ_N_border];
N_blk_equations = N_equations;
}
else
AZ_perror("AZK_create_linsys_no_copy: Unknown matrix type.");
if (Amat_imag->matrix_type == AZ_MSR_MATRIX) {
Amat_imag->data_org[AZ_N_int_blk] = Amat_imag->data_org[AZ_N_internal];
Amat_imag->data_org[AZ_N_bord_blk] = Amat_imag->data_org[AZ_N_border];
}
else if (Amat_imag->matrix_type == AZ_USER_MATRIX) {
Amat_imag->data_org[AZ_N_int_blk] = Amat_imag->data_org[AZ_N_internal];
Amat_imag->data_org[AZ_N_bord_blk] = Amat_imag->data_org[AZ_N_border];
}
(*Amat) = AZ_create_matrix(N_equations, 0,
AZ_USER_MATRIX, N_blk_equations,
AZ_NOT_USING_AZTEC_MATVEC);
/* Merge real and imaginary parts into K matrix order */
komplex_to_real = (int *) AZ_allocate (N_real*sizeof(int));
komplex_to_imag = (int *) AZ_allocate (N_real*sizeof(int));
(*x) = (double *) AZ_allocate((N_equations+N_external)*sizeof(double));
(*b) = (double *) AZ_allocate((N_equations+N_external)*sizeof(double));
if ((*b) == NULL)
AZ_perror("AZK_create_linsys_no_copy: Out of memory.");
for (i=0; i <N_real; i++)
{
komplex_to_real[i] = 2*i;
komplex_to_imag[i] = 2*i+1;
(*x)[komplex_to_real[i]] = xr[i];
(*x)[komplex_to_imag[i]] = xi[i];
(*b)[komplex_to_real[i]] = br[i];
(*b)[komplex_to_imag[i]] = bi[i];
}
linsys_pass_data->Amat_real = Amat_real;
linsys_pass_data->Amat_imag = Amat_imag;
linsys_pass_data->komplex_to_real = komplex_to_real;
linsys_pass_data->komplex_to_imag = komplex_to_imag;
linsys_pass_data->c11 = 1.0;
linsys_pass_data->c12 = 0.0;
linsys_pass_data->c21 = 0.0;
linsys_pass_data->c22 = 1.0;
linsys_pass_data->Form_of_Equations = AZK_Komplex_No_Copy;
linsys_pass_data->From_Global_Indices = 0;
(*Amat)->matvec = AZK_matvec_no_copy;
(*Amat)->aux_ptr = (void *) linsys_pass_data;
return;
}
void read_coo(char *data_file, int *proc_config,
int *N_global, int *n_nonzeros,
double **val, int **bindx,
double **x, double **b, double **xexact)
#undef DEBUG
/* read ASCII data file:
line 1: N_global, number of entries (%d,%d)
line 2-...: i,j,real (%d, %d, %f)
*/
{
FILE *data ;
int i, n_entries, N_columns;
int ii, jj ;
int kk = 0;
int max_ii = 0, max_jj = 0;
int ione = 1;
double value;
double *cnt;
int *pntr, *indx1, *pntr1;
double *val1;
int MAXBLOCKSIZE = 25;
if(proc_config[AZ_node] == 0)
{
data = fopen(data_file,"r") ;
fscanf(data, "%d %d %d", N_global, &N_columns, &n_entries) ;
if (N_columns != *N_global)
perror("Matrix dimensions must be the same");
printf("Reading from file: %s\n",data_file);
printf("Number of equations = %d\n",*N_global);
printf("Number of entries = %d\n",n_entries);
*bindx = (int *) calloc(n_entries+1,sizeof(int)) ;
*val = (double *) calloc(n_entries+1,sizeof(double)) ;
pntr1 = (int *) calloc(n_entries+1,sizeof(int)) ;
indx1 = (int *) calloc(n_entries+1,sizeof(int)) ;
val1 = (double *) calloc(n_entries+1,sizeof(double)) ;
pntr = (int *) calloc(n_entries+1,sizeof(int)) ;
if ((pntr) == NULL)
perror("Error: Not enough space to create matrix");
while(!feof(data))
{
fscanf(data, "%d %d %lf", &ii, &jj, &value) ;
max_ii = AZ_MAX(max_ii,ii);
max_jj = AZ_MAX(max_jj,jj);
#ifdef DEBUG
printf("Entry %d, %d = %lf.\n",ii,jj,value);
#endif
(*bindx)[kk] = ii;
pntr[kk] = jj;
(*val)[kk] = value;
kk++;
}
*n_nonzeros = kk-1;
*N_global = max_ii;
if (max_ii != max_jj) perror("Error: Number of rows and columns not equal");
printf("Number of nonzeros = %d\n",*n_nonzeros);
/* Convert real part in the following way:
- Convert COO to CSR
- CSR to CSC
- CSC to CSR (columns are now in ascending order)
- CSR to MSR
*/
coocsr_(N_global,n_nonzeros, *val, *bindx, pntr, val1, indx1, pntr1);
csrcsc_(N_global,&ione,&ione,
val1,indx1,pntr1,
*val,*bindx,pntr);
csrcsc_(N_global,&ione,&ione,
*val,*bindx,pntr,
val1,indx1,pntr1);
csrmsr_(N_global,val1,indx1,pntr1,
*val,*bindx,
*val,*bindx);
/* Finally, convert bindx vectors to zero base */
for (i=0;i<*n_nonzeros+1;i++)
(*bindx)[i] -= 1;
*b = (double *) calloc((*N_global)*MAXBLOCKSIZE,sizeof(double)) ;
*x = (double *) calloc((*N_global)*MAXBLOCKSIZE,sizeof(double)) ;
if ((*x) == NULL)
perror("Error: Not enough space to create matrix");
/* Set RHS to a random vector, initial guess to zero */
for (i=0;i<*N_global;i++)
{
(*b)[i] = drand48();
(*x)[i] = 0.0;
}
}
/* Release unneeded space */
free((void *) pntr);
free((void *) val1);
free((void *) indx1);
free((void *) pntr1);
/* end read_coo */
}
int update_solution(double** x, double** delta_x, int iter) {
/* Routine to update solution vector x using delta_x and
* to test for convergence of Newton's method.
*
* Note: Modifications to Newton's method, including damping, have not yet
* been translated form previous update_solution.
* iter value may be used in some damping methods
*/
int iunk, ibox, inode,inodeG,ijk[3],go_update,idim,nnodes_loop;
double updateNorm=0.0, temp,frac_min,frac;
char *yo = "newupdate solution";
if (Type_poly==WJDC3 && Grafted_Logical==TRUE) nnodes_loop=Nnodes_box_extra;
else nnodes_loop=Nnodes_box;
/* Certain unknowns - specifically densities and Gs in CMS DFT cannot be less than 0.
Here we locate problems, and scale the entire update vector to prevent this from
happening. */
frac_min=1.0;
for (ibox=0; ibox<nnodes_loop; ibox++) { /* find minimum update fraction in entire domain */
for (iunk=0; iunk<Nunk_per_node; iunk++){
if ( (Unk2Phys[iunk]==G_CHAIN && Pol_Sym[iunk-Phys2Unk_first[G_CHAIN]] == -1) ||
(Unk2Phys[iunk]==DENSITY && (!(Type_poly==WTC) || (Pol_Sym_Seg[iunk-Phys2Unk_first[DENSITY]] ==-1) )) ){
if(x[iunk][ibox]+delta_x[iunk][ibox]<0.0){
frac = AZ_MIN(1.0,x[iunk][ibox]/(-delta_x[iunk][ibox]));
frac = AZ_MAX(frac,NL_update_scalingParam);
}
else{
frac=1.0;
}
if (frac<frac_min) frac_min=frac;
}
}
}
frac_min=gmin_double(frac_min);
if (Proc==0 && Iwrite_screen != SCREEN_NONE && Iwrite_screen != SCREEN_ERRORS_ONLY){
if (Iwrite_screen == SCREEN_BASIC) printf("\tUpdate percent=%g ",frac_min*100);
else printf("\tUpdate Frac = %g percent\n",frac_min*100);
}
for (ibox=0; ibox<nnodes_loop; ibox++) {
/* Increment updateNorm only for owned nodes (inode=-1 for ghosts) */
inode = B2L_node[ibox];
if (inode != -1) {
for (iunk=0; iunk<Nunk_per_node; iunk++) {
temp =(frac_min*delta_x[iunk][ibox])/(NL_rel_tol*x[iunk][ibox] + NL_abs_tol);
updateNorm += temp*temp;
}
}
/* For some cases, we need to be able to keep the solution values at the boundaries constant
and set equal to the values that are read in from a file. Do not update the solution
vector at these points */
inodeG=B2G_node[ibox];
node_to_ijk(inodeG,ijk);
go_update=TRUE;
for (idim=0; idim<Ndim;idim++){
if ( (ijk[idim]==0 && Type_bc[idim][0] == LAST_NODE_RESTART) ||
(ijk[idim]==Nodes_x[idim]-1 && Type_bc[idim][1] == LAST_NODE_RESTART)) go_update=FALSE;
}
/* Update all solution componenets */
if (go_update){
for (iunk=0; iunk<Nunk_per_node; iunk++){
/* if (x[iunk][ibox]+frac_min*delta_x[iunk][ibox] <0.0 && */
if (x[iunk][ibox]+frac_min*delta_x[iunk][ibox] <1.e-99 &&
( (Unk2Phys[iunk]==DENSITY && (!(Type_poly==WTC) || (Pol_Sym_Seg[iunk-Phys2Unk_first[DENSITY]] ==-1) )) ||
(Unk2Phys[iunk]==G_CHAIN && Pol_Sym[iunk-Phys2Unk_first[G_CHAIN]] == -1) ||
Unk2Phys[iunk]==CMS_FIELD ||
Unk2Phys[iunk]==WJDC_FIELD ||
(Unk2Phys[iunk]==BONDWTC && Pol_Sym[iunk-Phys2Unk_first[BONDWTC]] == -1 ) ||
Unk2Phys[iunk]==CAVWTC)
){
x[iunk][ibox]=0.1*x[iunk][ibox];
}
else if ((iunk==Phys2Unk_first[HSRHOBAR] || iunk==(Phys2Unk_first[CAVWTC]+1)) &&
x[iunk][ibox]+frac_min*delta_x[iunk][ibox] > 1.0){
x[iunk][ibox]+=0.5*(1.0-x[iunk][ibox]);
}
else{
x[iunk][ibox] += frac_min*delta_x[iunk][ibox];
}
}
}
}
updateNorm = sqrt(gsum_double(updateNorm));
if (Proc==0 && Iwrite_screen != SCREEN_NONE && Iwrite_screen != SCREEN_ERRORS_ONLY){
if (Iwrite_screen == SCREEN_BASIC) printf("\tWeighted norm update vec = %g\n", updateNorm);
else printf("\n\t\tWeighted norm of update vector = %g\n", updateNorm);
}
if (updateNorm > 1.0) return(FALSE);
else return(TRUE);
}
int main(int argc, char *argv[])
{
char global[]="global";
char local[]="local";
int proc_config[AZ_PROC_SIZE];/* Processor information. */
int options[AZ_OPTIONS_SIZE]; /* Array used to select solver options. */
double params[AZ_PARAMS_SIZE]; /* User selected solver paramters. */
int *data_org;
/* Array to specify data layout */
double status[AZ_STATUS_SIZE]; /* Information returned from AZ_solve(). */
int *update; /* vector elements updated on this node. */
int *external;
/* vector elements needed by this node. */
int *update_index;
/* ordering of update[] and external[] */
int *extern_index;
/* locally on this processor. */
int *indx; /* MSR format of real and imag parts */
int *bindx;
int *bpntr;
int *rpntr;
int *cpntr;
AZ_MATRIX *Amat;
AZ_PRECOND *Prec;
double *val;
double *x, *b, *xexact, *xsolve;
int n_nonzeros, n_blk_nonzeros;
int N_update; /* # of block unknowns updated on this node */
int N_local;
/* Number scalar equations on this node */
int N_global, N_blk_global; /* Total number of equations */
int N_external, N_blk_eqns;
double *val_msr;
int *bindx_msr;
double norm, d ;
int matrix_type;
int has_global_indices, option;
int i, j, m, mp ;
int ione = 1;
#ifdef TEST_SINGULAR
double * xnull; /* will contain difference of given exact solution and computed solution*/
double * Axnull; /* Product of A time xnull */
double norm_Axnull;
#endif
#ifdef AZTEC_MPI
double MPI_Wtime(void) ;
#endif
double time ;
#ifdef AZTEC_MPI
MPI_Init(&argc,&argv);
#endif
/* get number of processors and the name of this processor */
#ifdef AZTEC_MPI
AZ_set_proc_config(proc_config,MPI_COMM_WORLD);
#else
AZ_set_proc_config(proc_config,0);
#endif
printf("proc %d of %d is alive\n",
proc_config[AZ_node],proc_config[AZ_N_procs]) ;
#ifdef AZTEC_MPI
MPI_Barrier(MPI_COMM_WORLD) ;
#endif
#ifdef VBRMATRIX
if(argc != 3)
perror("error: enter name of data and partition file on command line") ;
#else
if(argc != 2) perror("error: enter name of data file on command line") ;
#endif
/* Set exact solution to NULL */
xexact = NULL;
/* Read matrix file and distribute among processors.
Returns with this processor's set of rows */
#ifdef VBRMATRIX
read_hb(argv[1], proc_config, &N_global, &n_nonzeros,
&val_msr, &bindx_msr, &x, &b, &xexact);
create_vbr(argv[2], proc_config, &N_global, &N_blk_global,
&n_nonzeros, &n_blk_nonzeros, &N_update, &update,
bindx_msr, val_msr, &val, &indx,
&rpntr, &cpntr, &bpntr, &bindx);
if(proc_config[AZ_node] == 0)
{
free ((void *) val_msr);
free ((void *) bindx_msr);
free ((void *) cpntr);
}
matrix_type = AZ_VBR_MATRIX;
#ifdef AZTEC_MPI
MPI_Barrier(MPI_COMM_WORLD) ;
#endif
distrib_vbr_matrix( proc_config, N_global, N_blk_global,
&n_nonzeros, &n_blk_nonzeros,
&N_update, &update,
&val, &indx, &rpntr, &cpntr, &bpntr, &bindx,
&x, &b, &xexact);
#else
read_hb(argv[1], proc_config, &N_global, &n_nonzeros,
&val, &bindx, &x, &b, &xexact);
#ifdef AZTEC_MPI
MPI_Barrier(MPI_COMM_WORLD) ;
#endif
distrib_msr_matrix(proc_config, N_global, &n_nonzeros, &N_update,
&update, &val, &bindx, &x, &b, &xexact);
#ifdef DEBUG
for (i = 0; i<N_update; i++)
if (val[i] == 0.0 ) printf("Zero diagonal at row %d\n",i);
#endif
matrix_type = AZ_MSR_MATRIX;
#endif
/* convert matrix to a local distributed matrix */
cpntr = NULL;
AZ_transform(proc_config, &external, bindx, val, update,
&update_index, &extern_index, &data_org,
N_update, indx, bpntr, rpntr, &cpntr,
matrix_type);
printf("Processor %d: Completed AZ_transform\n",proc_config[AZ_node]) ;
has_global_indices = 0;
option = AZ_LOCAL;
#ifdef VBRMATRIX
N_local = rpntr[N_update];
#else
N_local = N_update;
#endif
Amat = AZ_matrix_create(N_local);
#ifdef VBRMATRIX
AZ_set_VBR(Amat, rpntr, cpntr, bpntr, indx, bindx, val, data_org,
N_update, update, option);
#else
AZ_set_MSR(Amat, bindx, val, data_org, N_update, update, option);
#endif
printf("proc %d Completed AZ_create_matrix\n",proc_config[AZ_node]) ;
#ifdef AZTEC_MPI
MPI_Barrier(MPI_COMM_WORLD) ;
#endif
/* initialize AZTEC options */
AZ_defaults(options, params);
options[AZ_solver] = AZ_gmres;
options[AZ_precond] = AZ_sym_GS;
options[AZ_poly_ord] = 1;
options[AZ_graph_fill] = 1;
params[AZ_rthresh] = 0.0E-7;
params[AZ_athresh] = 0.0E-7;
options[AZ_overlap] = 1;
/*
params[AZ_ilut_fill] = 2.0;
params[AZ_drop] = 0.01;
options[AZ_overlap] = 0;
options[AZ_reorder] = 0;
params[AZ_rthresh] = 1.0E-1;
params[AZ_athresh] = 1.0E-1;
options[AZ_precond] = AZ_dom_decomp ;
options[AZ_subdomain_solve] = AZ_bilu_ifp;
options[AZ_reorder] = 0;
options[AZ_graph_fill] = 0;
params[AZ_rthresh] = 1.0E-7;
params[AZ_athresh] = 1.0E-7;
options[AZ_poly_ord] = 1;
options[AZ_precond] = AZ_Jacobi;
params[AZ_omega] = 1.0;
options[AZ_precond] = AZ_none ;
options[AZ_poly_ord] = 1;
options[AZ_precond] = AZ_Jacobi ;
options[AZ_scaling] = AZ_sym_row_sum ;
options[AZ_scaling] = AZ_sym_diag;
options[AZ_conv] = AZ_noscaled;
options[AZ_scaling] = AZ_Jacobi ;
options[AZ_precond] = AZ_dom_decomp ;
options[AZ_subdomain_solve] = AZ_icc ;
options[AZ_subdomain_solve] = AZ_ilut ;
params[AZ_omega] = 1.2;
params[AZ_ilut_fill] = 2.0;
params[AZ_drop] = 0.01;
options[AZ_reorder] = 0;
options[AZ_overlap] = 0;
options[AZ_type_overlap] = AZ_symmetric;
options[AZ_precond] = AZ_dom_decomp ;
options[AZ_subdomain_solve] = AZ_bilu ;
options[AZ_graph_fill] = 0;
options[AZ_overlap] = 0;
options[AZ_precond] = AZ_dom_decomp ;
options[AZ_subdomain_solve] = AZ_bilu_ifp ;
options[AZ_graph_fill] = 0;
options[AZ_overlap] = 0;
params[AZ_rthresh] = 1.0E-3;
params[AZ_athresh] = 1.0E-3;
options[AZ_poly_ord] = 1;
options[AZ_precond] = AZ_Jacobi ; */
options[AZ_kspace] = 600 ;
options[AZ_max_iter] = 600 ;
params[AZ_tol] = 1.0e-14;
#ifdef BGMRES
options[AZ_gmres_blocksize] = 3;
options[AZ_gmres_num_rhs] = 1;
#endif
#ifdef DEBUG
if (proc_config[AZ_N_procs]==1)
write_vec("rhs.dat", N_local, b);
#endif
/* xsolve is a little longer vector needed to account for external
entries. Make it and copy x (initial guess) into it.
*/
if (has_global_indices)
{
N_external = 0;
}
else
{
N_external = data_org[AZ_N_external];
}
xsolve = (double *) calloc(N_local + N_external,
sizeof(double)) ;
for (i=0; i<N_local; i++) xsolve[i] = x[i];
/* Reorder rhs and xsolve to match matrix ordering from AZ_transform */
if (!has_global_indices)
{
AZ_reorder_vec(b, data_org, update_index, rpntr) ;
AZ_reorder_vec(xsolve, data_org, update_index, rpntr) ;
}
#ifdef VBRMATRIX
AZ_check_vbr(N_update, data_org[AZ_N_ext_blk], AZ_LOCAL,
bindx, bpntr, cpntr, rpntr, proc_config);
#else
AZ_check_msr(bindx, N_update, N_external, AZ_LOCAL, proc_config);
#endif
printf("Processor %d of %d N_local = %d N_external = %d NNZ = %d\n",
proc_config[AZ_node],proc_config[AZ_N_procs],N_local,N_external,
n_nonzeros);
/* solve the system of equations using b as the right hand side */
Prec = AZ_precond_create(Amat,AZ_precondition, NULL);
AZ_iterate(xsolve, b, options, params, status, proc_config,
Amat, Prec, NULL);
/*AZ_ifpack_iterate(xsolve, b, options, params, status, proc_config,
Amat);*/
if (proc_config[AZ_node]==0)
{
printf("True residual norm = %22.16g\n",status[AZ_r]);
printf("True scaled res = %22.16g\n",status[AZ_scaled_r]);
printf("Computed res norm = %22.16g\n",status[AZ_rec_r]);
}
#ifdef TEST_SINGULAR
xnull = (double *) calloc(N_local + N_external, sizeof(double)) ;
Axnull = (double *) calloc(N_local + N_external, sizeof(double)) ;
for (i=0; i<N_local; i++) xnull[i] = xexact[i];
if (!has_global_indices) AZ_reorder_vec(xnull, data_org, update_index, rpntr);
for (i=0; i<N_local; i++) xnull[i] -= xsolve[i]; /* fill with nullerence */
Amat->matvec(xnull, Axnull, Amat, proc_config);
norm_Axnull = AZ_gvector_norm(N_local, 2, Axnull, proc_config);
if (proc_config[AZ_node]==0) printf("Norm of A(xexact-xsolve) = %12.4g\n",norm_Axnull);
free((void *) xnull);
free((void *) Axnull);
#endif
/* Get solution back into original ordering */
if (!has_global_indices) {
AZ_invorder_vec(xsolve, data_org, update_index, rpntr, x);
free((void *) xsolve);
}
else {
free((void *) x);
x = xsolve;
}
#ifdef DEBUG
if (proc_config[AZ_N_procs]==1)
write_vec("solution.dat", N_local, x);
#endif
if (xexact != NULL)
{
double sum = 0.0;
double largest = 0.0;
for (i=0; i<N_local; i++) sum += fabs(x[i]-xexact[i]);
printf("Processor %d: Difference between exact and computed solution = %12.4g\n",
proc_config[AZ_node],sum);
for (i=0; i<N_local; i++) largest = AZ_MAX(largest,fabs(xexact[i]));
printf("Processor %d: Difference divided by max abs value of exact = %12.4g\n",
proc_config[AZ_node],sum/largest);
}
free((void *) val);
free((void *) bindx);
#ifdef VBRMATRIX
free((void *) rpntr);
free((void *) bpntr);
free((void *) indx);
#endif
free((void *) b);
free((void *) x);
if (xexact!=NULL) free((void *) xexact);
AZ_free((void *) update);
AZ_free((void *) update_index);
AZ_free((void *) external);
AZ_free((void *) extern_index);
AZ_free((void *) data_org);
if (cpntr!=NULL) AZ_free((void *) cpntr);
AZ_precond_destroy(&Prec);
AZ_matrix_destroy(&Amat);
#ifdef AZTEC_MPI
MPI_Finalize() ;
#endif
/* end main
*/
return 0 ;
}
