504 lines
12 KiB
C
504 lines
12 KiB
C
/*BHEADER**********************************************************************
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* (c) 1998 The Regents of the University of California
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*
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* See the file COPYRIGHT_and_DISCLAIMER for a complete copyright
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* notice, contact person, and disclaimer.
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*
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* $Revision$
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*********************************************************************EHEADER*/
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#include "headers.h"
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/*--------------------------------------------------------------------------
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* hypre_GenerateLaplacian9pt
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*--------------------------------------------------------------------------*/
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HYPRE_ParCSRMatrix
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GenerateLaplacian9pt( MPI_Comm comm,
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int nx,
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int ny,
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int P,
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int Q,
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int p,
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int q,
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double *value )
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{
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hypre_ParCSRMatrix *A;
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hypre_CSRMatrix *diag;
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hypre_CSRMatrix *offd;
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int *diag_i;
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int *diag_j;
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double *diag_data;
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int *offd_i;
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int *offd_j;
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double *offd_data;
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int *global_part;
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int ix, iy;
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int cnt, o_cnt;
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int local_num_rows;
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int *col_map_offd;
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int *work;
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int row_index;
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int i,j;
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int nx_local, ny_local;
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int nx_size, ny_size;
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int num_cols_offd;
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int grid_size;
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int *nx_part;
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int *ny_part;
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int num_procs, my_id;
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int P_busy, Q_busy;
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MPI_Comm_size(comm,&num_procs);
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MPI_Comm_rank(comm,&my_id);
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grid_size = nx*ny;
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hypre_GeneratePartitioning(nx,P,&nx_part);
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hypre_GeneratePartitioning(ny,Q,&ny_part);
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global_part = hypre_CTAlloc(int,P*Q+1);
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global_part[0] = 0;
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cnt = 1;
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for (iy = 0; iy < Q; iy++)
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{
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ny_size = ny_part[iy+1]-ny_part[iy];
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for (ix = 0; ix < P; ix++)
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{
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nx_size = nx_part[ix+1] - nx_part[ix];
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global_part[cnt] = global_part[cnt-1];
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global_part[cnt++] += nx_size*ny_size;
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}
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}
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nx_local = nx_part[p+1] - nx_part[p];
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ny_local = ny_part[q+1] - ny_part[q];
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my_id = q*P + p;
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num_procs = P*Q;
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local_num_rows = nx_local*ny_local;
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diag_i = hypre_CTAlloc(int, local_num_rows+1);
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offd_i = hypre_CTAlloc(int, local_num_rows+1);
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P_busy = hypre_min(nx,P);
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Q_busy = hypre_min(ny,Q);
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num_cols_offd = 0;
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if (p) num_cols_offd += ny_local;
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if (p < P_busy-1) num_cols_offd += ny_local;
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if (q) num_cols_offd += nx_local;
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if (q < Q_busy-1) num_cols_offd += nx_local;
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if (p && q) num_cols_offd++;
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if (p && q < Q_busy-1 ) num_cols_offd++;
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if (p < P_busy-1 && q ) num_cols_offd++;
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if (p < P_busy-1 && q < Q_busy-1 ) num_cols_offd++;
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if (!local_num_rows) num_cols_offd = 0;
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col_map_offd = hypre_CTAlloc(int, num_cols_offd);
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cnt = 0;
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o_cnt = 0;
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diag_i[0] = 0;
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offd_i[0] = 0;
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for (iy = ny_part[q]; iy < ny_part[q+1]; iy++)
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{
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for (ix = nx_part[p]; ix < nx_part[p+1]; ix++)
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{
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cnt++;
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o_cnt++;
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diag_i[cnt] = diag_i[cnt-1];
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offd_i[o_cnt] = offd_i[o_cnt-1];
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diag_i[cnt]++;
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if (iy > ny_part[q])
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{
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diag_i[cnt]++;
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if (ix > nx_part[p])
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{
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diag_i[cnt]++;
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}
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else
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{
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if (ix)
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offd_i[o_cnt]++;
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}
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if (ix < nx_part[p+1]-1)
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{
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diag_i[cnt]++;
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}
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else
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{
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if (ix+1 < nx)
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offd_i[o_cnt]++;
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}
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}
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else
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{
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if (iy)
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{
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offd_i[o_cnt]++;
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if (ix > nx_part[p])
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{
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offd_i[o_cnt]++;
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}
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else if (ix)
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{
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offd_i[o_cnt]++;
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}
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if (ix < nx_part[p+1]-1)
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{
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offd_i[o_cnt]++;
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}
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else if (ix < nx-1)
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{
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offd_i[o_cnt]++;
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}
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}
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}
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if (ix > nx_part[p])
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diag_i[cnt]++;
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else
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{
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if (ix)
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{
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offd_i[o_cnt]++;
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}
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}
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if (ix+1 < nx_part[p+1])
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diag_i[cnt]++;
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else
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{
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if (ix+1 < nx)
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{
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offd_i[o_cnt]++;
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}
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}
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if (iy+1 < ny_part[q+1])
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{
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diag_i[cnt]++;
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if (ix > nx_part[p])
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{
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diag_i[cnt]++;
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}
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else
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{
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if (ix)
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offd_i[o_cnt]++;
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}
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if (ix < nx_part[p+1]-1)
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{
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diag_i[cnt]++;
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}
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else
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{
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if (ix+1 < nx)
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offd_i[o_cnt]++;
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}
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}
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else
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{
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if (iy+1 < ny)
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{
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offd_i[o_cnt]++;
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if (ix > nx_part[p])
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{
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offd_i[o_cnt]++;
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}
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else if (ix)
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{
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offd_i[o_cnt]++;
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}
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if (ix < nx_part[p+1]-1)
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{
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offd_i[o_cnt]++;
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}
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else if (ix < nx-1)
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{
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offd_i[o_cnt]++;
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}
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}
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}
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}
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}
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diag_j = hypre_CTAlloc(int, diag_i[local_num_rows]);
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diag_data = hypre_CTAlloc(double, diag_i[local_num_rows]);
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if (num_procs > 1)
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{
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offd_j = hypre_CTAlloc(int, offd_i[local_num_rows]);
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offd_data = hypre_CTAlloc(double, offd_i[local_num_rows]);
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}
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row_index = 0;
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cnt = 0;
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o_cnt = 0;
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for (iy = ny_part[q]; iy < ny_part[q+1]; iy++)
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{
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for (ix = nx_part[p]; ix < nx_part[p+1]; ix++)
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{
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diag_j[cnt] = row_index;
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diag_data[cnt++] = value[0];
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if (iy > ny_part[q])
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{
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if (ix > nx_part[p])
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{
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diag_j[cnt] = row_index-nx_local-1 ;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix)
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{
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offd_j[o_cnt] = map2(ix-1,iy-1,p-1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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diag_j[cnt] = row_index-nx_local;
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diag_data[cnt++] = value[1];
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if (ix < nx_part[p+1]-1)
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{
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diag_j[cnt] = row_index-nx_local+1 ;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix+1 < nx)
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{
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offd_j[o_cnt] = map2(ix+1,iy-1,p+1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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}
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else
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{
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if (iy)
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{
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if (ix > nx_part[p])
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{
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offd_j[o_cnt] = map2(ix-1,iy-1,p,q-1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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else if (ix)
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{
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offd_j[o_cnt] = map2(ix-1,iy-1,p-1,q-1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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offd_j[o_cnt] = map2(ix,iy-1,p,q-1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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if (ix < nx_part[p+1]-1)
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{
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offd_j[o_cnt] = map2(ix+1,iy-1,p,q-1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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else if (ix+1 < nx)
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{
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offd_j[o_cnt] = map2(ix+1,iy-1,p+1,q-1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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}
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if (ix > nx_part[p])
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{
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diag_j[cnt] = row_index-1;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix)
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{
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offd_j[o_cnt] = map2(ix-1,iy,p-1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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if (ix+1 < nx_part[p+1])
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{
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diag_j[cnt] = row_index+1;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix+1 < nx)
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{
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offd_j[o_cnt] = map2(ix+1,iy,p+1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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if (iy+1 < ny_part[q+1])
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{
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if (ix > nx_part[p])
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{
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diag_j[cnt] = row_index+nx_local-1 ;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix)
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{
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offd_j[o_cnt] = map2(ix-1,iy+1,p-1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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diag_j[cnt] = row_index+nx_local;
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diag_data[cnt++] = value[1];
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if (ix < nx_part[p+1]-1)
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{
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diag_j[cnt] = row_index+nx_local+1 ;
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diag_data[cnt++] = value[1];
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}
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else
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{
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if (ix+1 < nx)
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{
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offd_j[o_cnt] = map2(ix+1,iy+1,p+1,q,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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}
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else
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{
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if (iy+1 < ny)
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{
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if (ix > nx_part[p])
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{
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offd_j[o_cnt] = map2(ix-1,iy+1,p,q+1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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else if (ix)
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{
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offd_j[o_cnt] = map2(ix-1,iy+1,p-1,q+1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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offd_j[o_cnt] = map2(ix,iy+1,p,q+1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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if (ix < nx_part[p+1]-1)
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{
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offd_j[o_cnt] = map2(ix+1,iy+1,p,q+1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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else if (ix < nx-1)
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{
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offd_j[o_cnt] = map2(ix+1,iy+1,p+1,q+1,P,Q,
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nx_part,ny_part,global_part);
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offd_data[o_cnt++] = value[1];
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}
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}
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}
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row_index++;
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}
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}
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if (num_procs > 1)
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{
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work = hypre_CTAlloc(int,o_cnt);
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for (i=0; i < o_cnt; i++)
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work[i] = offd_j[i];
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qsort0(work, 0, o_cnt-1);
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col_map_offd[0] = work[0];
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cnt = 0;
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for (i=0; i < o_cnt; i++)
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{
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if (work[i] > col_map_offd[cnt])
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{
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cnt++;
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col_map_offd[cnt] = work[i];
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}
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}
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for (i=0; i < o_cnt; i++)
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{
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for (j=0; j < num_cols_offd; j++)
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{
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if (offd_j[i] == col_map_offd[j])
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{
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offd_j[i] = j;
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break;
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}
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}
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}
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hypre_TFree(work);
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}
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A = hypre_ParCSRMatrixCreate(comm, grid_size, grid_size,
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global_part, global_part, num_cols_offd,
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diag_i[local_num_rows],
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offd_i[local_num_rows]);
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hypre_ParCSRMatrixColMapOffd(A) = col_map_offd;
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diag = hypre_ParCSRMatrixDiag(A);
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hypre_CSRMatrixI(diag) = diag_i;
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hypre_CSRMatrixJ(diag) = diag_j;
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hypre_CSRMatrixData(diag) = diag_data;
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offd = hypre_ParCSRMatrixOffd(A);
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hypre_CSRMatrixI(offd) = offd_i;
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if (num_cols_offd)
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{
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hypre_CSRMatrixJ(offd) = offd_j;
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hypre_CSRMatrixData(offd) = offd_data;
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}
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hypre_TFree(nx_part);
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hypre_TFree(ny_part);
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return (HYPRE_ParCSRMatrix) A;
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}
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/*--------------------------------------------------------------------------
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*--------------------------------------------------------------------------*/
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int
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map2( int ix,
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int iy,
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int p,
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int q,
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int P,
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int Q,
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int *nx_part,
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int *ny_part,
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int *global_part )
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{
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int nx_local;
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int ix_local;
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int iy_local;
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int global_index;
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int proc_num;
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proc_num = q*P + p;
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nx_local = nx_part[p+1] - nx_part[p];
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ix_local = ix - nx_part[p];
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iy_local = iy - ny_part[q];
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global_index = global_part[proc_num]
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+ iy_local*nx_local + ix_local;
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return global_index;
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}
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