| [2aa6644] | 1 | /*BHEADER**********************************************************************
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| 2 | * Copyright (c) 2008, Lawrence Livermore National Security, LLC.
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| 3 | * Produced at the Lawrence Livermore National Laboratory.
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| 4 | * This file is part of HYPRE. See file COPYRIGHT for details.
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| 5 | *
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| 6 | * HYPRE is free software; you can redistribute it and/or modify it under the
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| 7 | * terms of the GNU Lesser General Public License (as published by the Free
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| 8 | * Software Foundation) version 2.1 dated February 1999.
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| 9 | *
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| 10 | * $Revision: 2.4 $
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| 11 | ***********************************************************************EHEADER*/
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| 12 |
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| 13 |
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| 14 |
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| 15 |
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| 16 | #include "headers.h"
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| 17 |
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| 18 | /*--------------------------------------------------------------------------
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| 19 | * hypre_GenerateLaplacian
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| 20 | *--------------------------------------------------------------------------*/
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| 21 |
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| 22 | HYPRE_ParCSRMatrix
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| 23 | GenerateLaplacian( MPI_Comm comm,
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| 24 | HYPRE_BigInt nx,
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| 25 | HYPRE_BigInt ny,
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| 26 | HYPRE_BigInt nz,
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| 27 | int P,
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| 28 | int Q,
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| 29 | int R,
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| 30 | int p,
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| 31 | int q,
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| 32 | int r,
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| 33 | double *value,
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| 34 | HYPRE_ParVector *rhs_ptr,
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| 35 | HYPRE_ParVector *x_ptr)
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| 36 | {
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| 37 | hypre_ParCSRMatrix *A;
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| 38 | hypre_CSRMatrix *diag;
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| 39 | hypre_CSRMatrix *offd;
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| 40 | hypre_ParVector *par_rhs;
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| 41 | hypre_ParVector *par_x;
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| 42 | hypre_Vector *rhs;
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| 43 | hypre_Vector *x;
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| 44 | double *rhs_data;
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| 45 | double *x_data;
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| 46 |
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| 47 | int *diag_i;
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| 48 | int *diag_j;
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| 49 | double *diag_data;
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| 50 |
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| 51 | int *offd_i;
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| 52 | int *offd_j = NULL;
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| 53 | double *offd_data = NULL;
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| 54 |
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| 55 | HYPRE_BigInt *global_part;
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| 56 | HYPRE_BigInt *global_part_rhs;
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| 57 | HYPRE_BigInt *global_part_x;
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| 58 | int *tmp_j = NULL;
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| 59 | int ix, iy, iz;
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| 60 | int cnt, o_cnt;
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| 61 | int local_num_rows;
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| 62 | HYPRE_BigInt *col_map_offd = NULL;
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| 63 | int row_index;
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| 64 | int i, j;
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| 65 | int ip, iq, ir;
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| 66 |
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| 67 | int nx_local, ny_local, nz_local;
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| 68 | int num_cols_offd;
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| 69 | HYPRE_BigInt grid_size;
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| 70 |
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| 71 | HYPRE_BigInt *nx_part;
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| 72 | HYPRE_BigInt *ny_part;
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| 73 | HYPRE_BigInt *nz_part;
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| 74 |
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| 75 | int num_procs, my_id;
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| 76 | int P_busy, Q_busy, R_busy;
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| 77 |
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| 78 | #ifdef HYPRE_NO_GLOBAL_PARTITION
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| 79 | MPI_Comm_size(comm,&num_procs);
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| 80 | MPI_Comm_rank(comm,&my_id);
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| 81 |
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| 82 | hypre_GenerateLocalPartitioning(nx,P,p,&nx_part);
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| 83 | hypre_GenerateLocalPartitioning(ny,Q,q,&ny_part);
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| 84 | hypre_GenerateLocalPartitioning(nz,R,r,&nz_part);
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| 85 |
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| 86 | nx_local = (int)(nx_part[1] - nx_part[0]);
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| 87 | ny_local = (int)(ny_part[1] - ny_part[0]);
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| 88 | nz_local = (int)(nz_part[1] - nz_part[0]);
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| 89 | local_num_rows = nx_local*ny_local*nz_local;
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| 90 |
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| 91 | global_part = hypre_CTAlloc(HYPRE_BigInt,2);
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| 92 | global_part_rhs = hypre_CTAlloc(HYPRE_BigInt,2);
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| 93 | global_part_x = hypre_CTAlloc(HYPRE_BigInt,2);
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| 94 |
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| 95 | global_part[0] = (HYPRE_BigInt)my_id*(HYPRE_BigInt)local_num_rows;
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| 96 | global_part[1] = global_part[0]+(HYPRE_BigInt)local_num_rows;
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| 97 |
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| 98 | for (i=0; i< 2; i++)
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| 99 | {
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| 100 | global_part_x[i] = global_part[i];
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| 101 | global_part_rhs[i] = global_part[i];
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| 102 | }
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| 103 | ip = p;
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| 104 | iq = q;
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| 105 | ir = r;
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| 106 | #else
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| 107 | int nx_size, ny_size, nz_size;
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| 108 | MPI_Comm_size(comm,&num_procs);
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| 109 | MPI_Comm_rank(comm,&my_id);
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| 110 |
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| 111 | hypre_GeneratePartitioning(nx,P,&nx_part);
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| 112 | hypre_GeneratePartitioning(ny,Q,&ny_part);
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| 113 | hypre_GeneratePartitioning(nz,R,&nz_part);
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| 114 |
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| 115 | global_part = hypre_CTAlloc(HYPRE_BigInt,P*Q*R+1);
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| 116 | global_part_rhs = hypre_CTAlloc(HYPRE_BigInt,P*Q*R+1);
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| 117 | global_part_x = hypre_CTAlloc(HYPRE_BigInt,P*Q*R+1);
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| 118 |
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| 119 | global_part[0] = 0;
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| 120 | global_part_rhs[0] = 0;
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| 121 | global_part_x[0] = 0;
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| 122 | cnt = 1;
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| 123 | for (iz = 0; iz < R; iz++)
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| 124 | {
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| 125 | nz_size = (int)(nz_part[iz+1]-nz_part[iz]);
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| 126 | for (iy = 0; iy < Q; iy++)
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| 127 | {
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| 128 | ny_size = (int)(ny_part[iy+1]-ny_part[iy]);
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| 129 | for (ix = 0; ix < P; ix++)
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| 130 | {
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| 131 | nx_size = (int)(nx_part[ix+1] - nx_part[ix]);
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| 132 | global_part[cnt] = global_part[cnt-1];
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| 133 | global_part[cnt] += (HYPRE_BigInt)(nx_size*ny_size*nz_size);
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| 134 | global_part_x[cnt] = global_part[cnt];
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| 135 | global_part_rhs[cnt] = global_part[cnt];
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| 136 | cnt++;
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| 137 | }
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| 138 | }
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| 139 | }
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| 140 |
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| 141 | nx_local = (int)(nx_part[p+1] - nx_part[p]);
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| 142 | ny_local = (int)(ny_part[q+1] - ny_part[q]);
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| 143 | nz_local = (int)(nz_part[r+1] - nz_part[r]);
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| 144 | local_num_rows = nx_local*ny_local*nz_local;
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| 145 | ip = p;
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| 146 | iq = q;
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| 147 | ir = r;
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| 148 | #endif
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| 149 |
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| 150 | grid_size = nx*ny*nz;
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| 151 |
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| 152 | diag_i = hypre_CTAlloc(int, local_num_rows+1);
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| 153 | offd_i = hypre_CTAlloc(int, local_num_rows+1);
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| 154 | rhs_data = hypre_CTAlloc(double, local_num_rows);
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| 155 | x_data = hypre_CTAlloc(double, local_num_rows);
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| 156 |
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| 157 | for (i=0; i < local_num_rows; i++)
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| 158 | {
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| 159 | x_data[i] = 0.0;
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| 160 | rhs_data[i] = 1.0;
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| 161 | }
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| 162 |
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| 163 | P_busy = hypre_min(nx,P);
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| 164 | Q_busy = hypre_min(ny,Q);
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| 165 | R_busy = hypre_min(nz,R);
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| 166 |
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| 167 | num_cols_offd = 0;
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| 168 | if (p) num_cols_offd += ny_local*nz_local;
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| 169 | if (p < P_busy-1) num_cols_offd += ny_local*nz_local;
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| 170 | if (q) num_cols_offd += nx_local*nz_local;
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| 171 | if (q < Q_busy-1) num_cols_offd += nx_local*nz_local;
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| 172 | if (r) num_cols_offd += nx_local*ny_local;
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| 173 | if (r < R_busy-1) num_cols_offd += nx_local*ny_local;
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| 174 |
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| 175 | if (!local_num_rows) num_cols_offd = 0;
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| 176 |
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| 177 |
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| 178 | if (num_cols_offd)
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| 179 | {
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| 180 | col_map_offd = hypre_CTAlloc(HYPRE_BigInt, num_cols_offd);
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| 181 | }
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| 182 |
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| 183 | cnt = 1;
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| 184 | o_cnt = 1;
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| 185 | diag_i[0] = 0;
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| 186 | offd_i[0] = 0;
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| 187 | for (iz = 0; iz < nz_local; iz++)
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| 188 | {
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| 189 | for (iy = 0; iy < ny_local; iy++)
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| 190 | {
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| 191 | for (ix = 0; ix < nx_local; ix++)
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| 192 | {
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| 193 | diag_i[cnt] = diag_i[cnt-1];
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| 194 | offd_i[o_cnt] = offd_i[o_cnt-1];
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| 195 | diag_i[cnt]++;
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| 196 | if (iz)
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| 197 | diag_i[cnt]++;
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| 198 | else
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| 199 | {
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| 200 | if (ir)
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| 201 | {
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| 202 | offd_i[o_cnt]++;
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| 203 | }
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| 204 | }
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| 205 | if (iy)
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| 206 | diag_i[cnt]++;
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| 207 | else
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| 208 | {
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| 209 | if (iq)
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| 210 | {
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| 211 | offd_i[o_cnt]++;
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| 212 | }
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| 213 | }
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| 214 | if (ix)
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| 215 | diag_i[cnt]++;
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| 216 | else
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| 217 | {
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| 218 | if (ip)
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| 219 | {
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| 220 | offd_i[o_cnt]++;
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| 221 | }
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| 222 | }
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| 223 | if (ix+1 < nx_local)
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| 224 | diag_i[cnt]++;
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| 225 | else
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| 226 | {
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| 227 | if (ip+1 < P)
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| 228 | {
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| 229 | offd_i[o_cnt]++;
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| 230 | }
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| 231 | }
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| 232 | if (iy+1 < ny_local)
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| 233 | diag_i[cnt]++;
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| 234 | else
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| 235 | {
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| 236 | if (iq+1 < Q)
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| 237 | {
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| 238 | offd_i[o_cnt]++;
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| 239 | }
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| 240 | }
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| 241 | if (iz+1 < nz_local)
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| 242 | diag_i[cnt]++;
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| 243 | else
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| 244 | {
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| 245 | if (ir+1 < R)
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| 246 | {
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| 247 | offd_i[o_cnt]++;
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| 248 | }
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| 249 | }
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| 250 | cnt++;
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| 251 | o_cnt++;
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| 252 | }
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| 253 | }
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| 254 | }
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| 255 |
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| 256 |
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| 257 | diag_j = hypre_CTAlloc(int, diag_i[local_num_rows]);
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| 258 | diag_data = hypre_CTAlloc(double, diag_i[local_num_rows]);
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| 259 |
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| 260 | if (num_procs > 1)
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| 261 | {
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| 262 | offd_j = hypre_CTAlloc(int, offd_i[local_num_rows]);
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| 263 | offd_data = hypre_CTAlloc(double, offd_i[local_num_rows]);
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| 264 | }
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| 265 |
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| 266 | row_index = 0;
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| 267 | cnt = 0;
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| 268 | o_cnt = 0;
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| 269 | for (iz = 0; iz < nz_local; iz++)
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| 270 | {
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| 271 | for (iy = 0; iy < ny_local; iy++)
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| 272 | {
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| 273 | for (ix = 0; ix < nx_local; ix++)
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| 274 | {
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| 275 | diag_j[cnt] = row_index;
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| 276 | diag_data[cnt++] = value[0];
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| 277 | if (iz)
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| 278 | {
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| 279 | diag_j[cnt] = row_index-nx_local*ny_local;
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| 280 | diag_data[cnt++] = value[3];
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| 281 | }
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| 282 | else
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| 283 | {
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| 284 | if (ir)
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| 285 | {
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| 286 | offd_j[o_cnt] = o_cnt;
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| 287 | hypre_map(ix,iy,iz-1,p,q,r-1,P,Q,R,
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| 288 | nx_part,ny_part,nz_part,global_part,
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| 289 | &col_map_offd[o_cnt]);
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| 290 | offd_data[o_cnt++] = value[3];
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| 291 | }
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| 292 | }
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| 293 | if (iy)
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| 294 | {
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| 295 | diag_j[cnt] = row_index-nx_local;
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| 296 | diag_data[cnt++] = value[2];
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| 297 | }
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| 298 | else
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| 299 | {
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| 300 | if (iq)
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| 301 | {
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| 302 | offd_j[o_cnt] = o_cnt;
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| 303 | hypre_map(ix,iy-1,iz,p,q-1,r,P,Q,R,
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| 304 | nx_part,ny_part,nz_part,global_part,
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| 305 | &col_map_offd[o_cnt]);
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| 306 | offd_data[o_cnt++] = value[2];
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| 307 | }
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| 308 | }
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| 309 | if (ix)
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| 310 | {
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| 311 | diag_j[cnt] = row_index-1;
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| 312 | diag_data[cnt++] = value[1];
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| 313 | }
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| 314 | else
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| 315 | {
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| 316 | if (ip)
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| 317 | {
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| 318 | offd_j[o_cnt] = o_cnt;
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| 319 | hypre_map(ix-1,iy,iz,p-1,q,r,P,Q,R,
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| 320 | nx_part,ny_part,nz_part,global_part,
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| 321 | &col_map_offd[o_cnt]);
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| 322 | offd_data[o_cnt++] = value[1];
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| 323 | }
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| 324 | }
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| 325 | if (ix+1 < nx_local)
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| 326 | {
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| 327 | diag_j[cnt] = row_index+1;
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| 328 | diag_data[cnt++] = value[1];
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| 329 | }
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| 330 | else
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| 331 | {
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| 332 | if (ip+1 < P)
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| 333 | {
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| 334 | offd_j[o_cnt] = o_cnt;
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| 335 | hypre_map(ix+1,iy,iz,p+1,q,r,P,Q,R,
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| 336 | nx_part,ny_part,nz_part,global_part,
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| 337 | &col_map_offd[o_cnt]);
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| 338 | offd_data[o_cnt++] = value[1];
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| 339 | }
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| 340 | }
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| 341 | if (iy+1 < ny_local)
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| 342 | {
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| 343 | diag_j[cnt] = row_index+nx_local;
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| 344 | diag_data[cnt++] = value[2];
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| 345 | }
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| 346 | else
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| 347 | {
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| 348 | if (iq+1 < Q)
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| 349 | {
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| 350 | offd_j[o_cnt] = o_cnt;
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| 351 | hypre_map(ix,iy+1,iz,p,q+1,r,P,Q,R,
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| 352 | nx_part,ny_part,nz_part,global_part,
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| 353 | &col_map_offd[o_cnt]);
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| 354 | offd_data[o_cnt++] = value[2];
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| 355 | }
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| 356 | }
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| 357 | if (iz+1 < nz_local)
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| 358 | {
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| 359 | diag_j[cnt] = row_index+nx_local*ny_local;
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| 360 | diag_data[cnt++] = value[3];
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| 361 | }
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| 362 | else
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| 363 | {
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| 364 | if (ir+1 < R)
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| 365 | {
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| 366 | offd_j[o_cnt] = o_cnt;
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| 367 | hypre_map(ix,iy,iz+1,p,q,r+1,P,Q,R,
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| 368 | nx_part,ny_part,nz_part,global_part,
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| 369 | &col_map_offd[o_cnt]);
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| 370 | offd_data[o_cnt++] = value[3];
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| 371 | }
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| 372 | }
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| 373 | row_index++;
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| 374 | }
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| 375 | }
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| 376 | }
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| 377 |
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| 378 |
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| 379 | if (num_cols_offd) tmp_j = hypre_CTAlloc(int, num_cols_offd);
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| 380 | for (i=0; i < num_cols_offd; i++)
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| 381 | tmp_j[i] = offd_j[i];
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| 382 |
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| 383 |
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| 384 | if (num_procs > 1)
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| 385 | {
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| 386 | hypre_BigQsortbi(col_map_offd, tmp_j, 0, num_cols_offd-1);
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| 387 |
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| 388 | for (i=0; i < num_cols_offd; i++)
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| 389 | for (j=0; j < num_cols_offd; j++)
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| 390 | if (offd_j[i] == tmp_j[j])
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| 391 | {
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| 392 | offd_j[i] = j;
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| 393 | break;
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| 394 | }
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| 395 | }
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| 396 |
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| 397 |
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| 398 | hypre_TFree(tmp_j);
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| 399 |
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| 400 | A = hypre_ParCSRMatrixCreate(comm, grid_size, grid_size,
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| 401 | global_part, global_part, num_cols_offd,
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| 402 | diag_i[local_num_rows],
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| 403 | offd_i[local_num_rows]);
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| 404 |
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| 405 | par_rhs = hypre_ParVectorCreate(comm, grid_size, global_part_rhs);
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| 406 | rhs = hypre_ParVectorLocalVector(par_rhs);
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| 407 | hypre_VectorData(rhs) = rhs_data;
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| 408 |
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| 409 | par_x = hypre_ParVectorCreate(comm, grid_size, global_part_x);
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| 410 | x = hypre_ParVectorLocalVector(par_x);
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| 411 | hypre_VectorData(x) = x_data;
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| 412 |
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| 413 | hypre_ParCSRMatrixColMapOffd(A) = col_map_offd;
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| 414 |
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| 415 | diag = hypre_ParCSRMatrixDiag(A);
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| 416 | hypre_CSRMatrixI(diag) = diag_i;
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| 417 | hypre_CSRMatrixJ(diag) = diag_j;
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| 418 | hypre_CSRMatrixData(diag) = diag_data;
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| 419 |
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| 420 | offd = hypre_ParCSRMatrixOffd(A);
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| 421 | hypre_CSRMatrixI(offd) = offd_i;
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| 422 | if (num_cols_offd)
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| 423 | {
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| 424 | hypre_CSRMatrixJ(offd) = offd_j;
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| 425 | hypre_CSRMatrixData(offd) = offd_data;
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| 426 | }
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| 427 |
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| 428 | hypre_TFree(nx_part);
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| 429 | hypre_TFree(ny_part);
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| 430 | hypre_TFree(nz_part);
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| 431 |
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| 432 | *rhs_ptr = (HYPRE_ParVector) par_rhs;
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| 433 | *x_ptr = (HYPRE_ParVector) par_x;
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| 434 |
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| 435 | return (HYPRE_ParCSRMatrix) A;
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| 436 | }
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| 437 |
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| 438 | /*--------------------------------------------------------------------------
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| 439 | *--------------------------------------------------------------------------*/
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| 440 |
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| 441 | int
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| 442 | hypre_map( int ix,
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| 443 | int iy,
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| 444 | int iz,
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| 445 | int p,
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| 446 | int q,
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| 447 | int r,
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| 448 | int P,
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| 449 | int Q,
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| 450 | int R,
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| 451 | HYPRE_BigInt *nx_part,
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| 452 | HYPRE_BigInt *ny_part,
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| 453 | HYPRE_BigInt *nz_part,
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| 454 | HYPRE_BigInt *global_part,
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| 455 | HYPRE_BigInt *value_ptr)
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| 456 | {
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| 457 | int nx_local;
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| 458 | int ny_local;
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| 459 | int nz_local;
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| 460 | HYPRE_BigInt global_index;
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| 461 | int proc_num;
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| 462 |
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| 463 | #ifdef HYPRE_NO_GLOBAL_PARTITION
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| 464 | proc_num = r*P*Q + q*P + p;
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| 465 | nx_local = (int)(nx_part[1] - nx_part[0]);
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| 466 | ny_local = (int)(ny_part[1] - ny_part[0]);
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| 467 | nz_local = (int)(nz_part[1] - nz_part[0]);
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| 468 | if (ix < 0) ix += nx_local;
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| 469 | if (ix >= nx_local) ix -= nx_local;
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| 470 | if (iy < 0) iy += ny_local;
|
|---|
| 471 | if (iy >= ny_local) iy -= ny_local;
|
|---|
| 472 | if (iz < 0) iz += nz_local;
|
|---|
| 473 | if (iz >= nz_local) iz -= nz_local;
|
|---|
| 474 | global_index = (HYPRE_BigInt)proc_num
|
|---|
| 475 | *(HYPRE_BigInt)(nx_local*ny_local*nz_local)
|
|---|
| 476 | + (HYPRE_BigInt)((iz*ny_local+iy)*nx_local + ix);
|
|---|
| 477 | #else
|
|---|
| 478 | proc_num = r*P*Q + q*P + p;
|
|---|
| 479 | nx_local = (int)(nx_part[p+1] - nx_part[p]);
|
|---|
| 480 | ny_local = (int)(ny_part[q+1] - ny_part[q]);
|
|---|
| 481 | nz_local = (int)(nz_part[r+1] - nz_part[r]);
|
|---|
| 482 | if (ix < 0) ix += nx_local;
|
|---|
| 483 | if (ix >= nx_local) ix = 0;
|
|---|
| 484 | if (iy < 0) iy += ny_local;
|
|---|
| 485 | if (iy >= ny_local) iy = 0;
|
|---|
| 486 | if (iz < 0) iz += nz_local;
|
|---|
| 487 | if (iz >= nz_local) iz = 0;
|
|---|
| 488 | global_index = global_part[proc_num]
|
|---|
| 489 | + (HYPRE_BigInt)((iz*ny_local+iy)*nx_local + ix);
|
|---|
| 490 | #endif
|
|---|
| 491 | *value_ptr = global_index;
|
|---|
| 492 |
|
|---|
| 493 | return 0;
|
|---|
| 494 | }
|
|---|