xref: /petsc/src/mat/tutorials/ex15.c (revision c4762a1b19cd2af06abeed90e8f9d34fb975dd94)
1 static char help[] = "Example of using graph partitioning to partition a graph\n\n";
2 
3 /*T
4    Concepts: Mat^mat partitioning
5    Concepts: Mat^image segmentation
6    Processors: n
7 T*/
8 
9 #include <petscmat.h>
10 
11 int main(int argc, char **args)
12 {
13   Mat             A;
14   MatPartitioning part;
15   IS              is;
16   PetscInt        r,N = 10, start, end, *vweights;
17   PetscBool       set_vweights=PETSC_FALSE,use_edge_weights=PETSC_FALSE;
18   PetscMPIInt     rank;
19   MPI_Comm        comm;
20   PetscErrorCode  ierr;
21 
22   ierr = PetscInitialize(&argc, &args, (char*) 0, help);if (ierr) return ierr;
23   comm = PETSC_COMM_WORLD;
24   ierr = PetscOptionsGetInt(NULL,NULL, "-N", &N, NULL);CHKERRQ(ierr);
25   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
26   ierr = MatCreate(comm, &A);CHKERRQ(ierr);
27   ierr = MatSetSizes(A, PETSC_DECIDE, PETSC_DECIDE, N, N);CHKERRQ(ierr);
28   ierr = MatSetFromOptions(A);CHKERRQ(ierr);
29   ierr = MatSeqAIJSetPreallocation(A, 3, NULL);CHKERRQ(ierr);
30   ierr = MatMPIAIJSetPreallocation(A, 3, NULL, 2, NULL);CHKERRQ(ierr);
31   ierr = PetscOptionsGetBool(NULL,NULL,"-test_vertex_weights",&set_vweights,NULL);CHKERRQ(ierr);
32   ierr = PetscOptionsGetBool(NULL,NULL,"-test_use_edge_weights",&use_edge_weights,NULL);CHKERRQ(ierr);
33   /* Create a linear mesh */
34   ierr = MatGetOwnershipRange(A, &start, &end);CHKERRQ(ierr);
35   if (set_vweights) {
36     ierr = PetscMalloc1(end-start,&vweights);CHKERRQ(ierr);
37     for (r = start; r < end; ++r)
38       vweights[r-start] = rank+1;
39   }
40   for (r = start; r < end; ++r) {
41     if (r == 0) {
42       PetscInt    cols[2];
43       PetscScalar vals[2];
44 
45       cols[0] = r;   cols[1] = r+1;
46       vals[0] = 1.0; vals[1] = use_edge_weights? 2.0: 1.0;
47 
48       ierr = MatSetValues(A, 1, &r, 2, cols, vals, INSERT_VALUES);CHKERRQ(ierr);
49     } else if (r == N-1) {
50       PetscInt    cols[2];
51       PetscScalar vals[2];
52 
53       cols[0] = r-1; cols[1] = r;
54       vals[0] = use_edge_weights? 3.0:1.0; vals[1] = 1.0;
55 
56       ierr = MatSetValues(A, 1, &r, 2, cols, vals, INSERT_VALUES);CHKERRQ(ierr);
57     } else {
58       PetscInt    cols[3];
59       PetscScalar vals[3];
60 
61       cols[0] = r-1; cols[1] = r;   cols[2] = r+1;
62       /* ADJ matrix needs to be symmetric */
63       vals[0] = use_edge_weights? (cols[0]==0? 2.0:5.0):1.0;
64       vals[1] = 1.0;
65       vals[2] = use_edge_weights? (cols[2]==N-1? 3.0:5.0):1.0;
66 
67       ierr = MatSetValues(A, 1, &r, 3, cols, vals, INSERT_VALUES);CHKERRQ(ierr);
68     }
69   }
70   ierr = MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
71   ierr = MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
72 
73   ierr = MatPartitioningCreate(comm, &part);CHKERRQ(ierr);
74   ierr = MatPartitioningSetAdjacency(part, A);CHKERRQ(ierr);
75   if (set_vweights) {
76     ierr = MatPartitioningSetVertexWeights(part,vweights);CHKERRQ(ierr);
77   }
78   if (use_edge_weights) {
79     ierr = MatPartitioningSetUseEdgeWeights(part,use_edge_weights);CHKERRQ(ierr);
80 
81     ierr = MatPartitioningGetUseEdgeWeights(part,&use_edge_weights);CHKERRQ(ierr);
82     if (!use_edge_weights) SETERRQ(comm,PETSC_ERR_ARG_INCOMP, "use_edge_weights flag does not setup correctly \n");
83   }
84   ierr = MatPartitioningSetFromOptions(part);CHKERRQ(ierr);
85   ierr = MatPartitioningApply(part, &is);CHKERRQ(ierr);
86   ierr = ISView(is, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
87   ierr = ISDestroy(&is);CHKERRQ(ierr);
88   ierr = MatPartitioningDestroy(&part);CHKERRQ(ierr);
89 
90   ierr = MatDestroy(&A);CHKERRQ(ierr);
91   ierr = PetscFinalize();
92   return ierr;
93 }
94 
95 
96 /*TEST
97 
98    test:
99       nsize: 3
100       requires: parmetis
101       args: -mat_partitioning_type parmetis
102 
103    test:
104       suffix: 2
105       nsize: 3
106       requires: ptscotch
107       args: -mat_partitioning_type ptscotch
108 
109    test:
110       suffix: 3
111       nsize: 4
112       requires: party
113       args: -mat_partitioning_type party
114 
115    test:
116       suffix: 4
117       nsize: 3
118       requires: chaco
119       args: -mat_partitioning_type chaco
120 
121    test:
122       suffix: 5
123       nsize: 3
124       requires: parmetis
125       args: -mat_partitioning_type hierarch -mat_partitioning_hierarchical_nfineparts 3 -mat_partitioning_nparts 10 -N 100
126 
127    test:
128       suffix: 6
129       nsize: 3
130       requires: parmetis
131       args: -mat_partitioning_type hierarch -mat_partitioning_hierarchical_nfineparts 3 -mat_partitioning_nparts 10 -N 100 -test_vertex_weights 1 -mat_partitioning_use_edge_weights 1
132 
133    test:
134       suffix: 7
135       nsize: 2
136       requires: parmetis
137       args: -mat_partitioning_type hierarch -mat_partitioning_hierarchical_nfineparts 2 -mat_partitioning_nparts 10  -mat_partitioning_hierarchical_fineparttype hierarch -malloc_dump -N 100 -mat_partitioning_improve 1
138 
139    test:
140       suffix: 8
141       nsize: 2
142       requires: parmetis
143       args: -mat_partitioning_type parmetis -mat_partitioning_nparts 3 -test_use_edge_weights 1
144 
145    test:
146       suffix: 9
147       nsize: 2
148       requires: ptscotch
149       args: -mat_partitioning_type ptscotch -mat_partitioning_nparts 3 -test_use_edge_weights 1 -mat_partitioning_ptscotch_proc_weight 0
150 
151 TEST*/
152