xref: /petsc/src/mat/tutorials/ex15.c (revision d71ae5a4db6382e7f06317b8d368875286fe9008)

static char help[] = "Example of using graph partitioning to partition a graph\n\n";

#include <petscmat.h>

int main(int argc, char **args)
{
  Mat             A;
  MatPartitioning part;
  IS              is;
  PetscInt        r, N = 10, start, end, *vweights;
  PetscBool       set_vweights = PETSC_FALSE, use_edge_weights = PETSC_FALSE;
  PetscMPIInt     rank;
  MPI_Comm        comm;

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &args, (char *)0, help));
  comm = PETSC_COMM_WORLD;
  PetscCall(PetscOptionsGetInt(NULL, NULL, "-N", &N, NULL));
  PetscCallMPI(MPI_Comm_rank(comm, &rank));
  PetscCall(MatCreate(comm, &A));
  PetscCall(MatSetSizes(A, PETSC_DECIDE, PETSC_DECIDE, N, N));
  PetscCall(MatSetFromOptions(A));
  PetscCall(MatSeqAIJSetPreallocation(A, 3, NULL));
  PetscCall(MatMPIAIJSetPreallocation(A, 3, NULL, 2, NULL));
  PetscCall(PetscOptionsGetBool(NULL, NULL, "-test_vertex_weights", &set_vweights, NULL));
  PetscCall(PetscOptionsGetBool(NULL, NULL, "-test_use_edge_weights", &use_edge_weights, NULL));
  /* Create a linear mesh */
  PetscCall(MatGetOwnershipRange(A, &start, &end));
  if (set_vweights) {
    PetscCall(PetscMalloc1(end - start, &vweights));
    for (r = start; r < end; ++r) vweights[r - start] = rank + 1;
  }
  for (r = start; r < end; ++r) {
    if (r == 0) {
      PetscInt    cols[2];
      PetscScalar vals[2];

      cols[0] = r;
      cols[1] = r + 1;
      vals[0] = 1.0;
      vals[1] = use_edge_weights ? 2.0 : 1.0;

      PetscCall(MatSetValues(A, 1, &r, 2, cols, vals, INSERT_VALUES));
    } else if (r == N - 1) {
      PetscInt    cols[2];
      PetscScalar vals[2];

      cols[0] = r - 1;
      cols[1] = r;
      vals[0] = use_edge_weights ? 3.0 : 1.0;
      vals[1] = 1.0;

      PetscCall(MatSetValues(A, 1, &r, 2, cols, vals, INSERT_VALUES));
    } else {
      PetscInt    cols[3];
      PetscScalar vals[3];

      cols[0] = r - 1;
      cols[1] = r;
      cols[2] = r + 1;
      /* ADJ matrix needs to be symmetric */
      vals[0] = use_edge_weights ? (cols[0] == 0 ? 2.0 : 5.0) : 1.0;
      vals[1] = 1.0;
      vals[2] = use_edge_weights ? (cols[2] == N - 1 ? 3.0 : 5.0) : 1.0;

      PetscCall(MatSetValues(A, 1, &r, 3, cols, vals, INSERT_VALUES));
    }
  }
  PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));

  PetscCall(MatPartitioningCreate(comm, &part));
  PetscCall(MatPartitioningSetAdjacency(part, A));
  if (set_vweights) PetscCall(MatPartitioningSetVertexWeights(part, vweights));
  if (use_edge_weights) {
    PetscCall(MatPartitioningSetUseEdgeWeights(part, use_edge_weights));

    PetscCall(MatPartitioningGetUseEdgeWeights(part, &use_edge_weights));
    PetscCheck(use_edge_weights, comm, PETSC_ERR_ARG_INCOMP, "use_edge_weights flag does not setup correctly ");
  }
  PetscCall(MatPartitioningSetFromOptions(part));
  PetscCall(MatPartitioningApply(part, &is));
  PetscCall(ISView(is, PETSC_VIEWER_STDOUT_WORLD));
  PetscCall(ISDestroy(&is));
  PetscCall(MatPartitioningDestroy(&part));

  PetscCall(MatDestroy(&A));
  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

   test:
      nsize: 3
      requires: parmetis
      args: -mat_partitioning_type parmetis

   test:
      suffix: 2
      nsize: 3
      requires: ptscotch
      args: -mat_partitioning_type ptscotch

   test:
      suffix: 3
      nsize: 4
      requires: party
      args: -mat_partitioning_type party

   test:
      suffix: 4
      nsize: 3
      requires: chaco
      args: -mat_partitioning_type chaco

   test:
      suffix: 5
      nsize: 3
      requires: parmetis
      args: -mat_partitioning_type hierarch -mat_partitioning_hierarchical_nfineparts 3 -mat_partitioning_nparts 10 -N 100

   test:
      suffix: 6
      nsize: 3
      requires: parmetis
      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

   test:
      suffix: 7
      nsize: 2
      requires: parmetis
      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

   test:
      suffix: 8
      nsize: 2
      requires: parmetis
      args: -mat_partitioning_type parmetis -mat_partitioning_nparts 3 -test_use_edge_weights 1

   test:
      suffix: 9
      nsize: 2
      requires: ptscotch
      args: -mat_partitioning_type ptscotch -mat_partitioning_nparts 3 -test_use_edge_weights 1 -mat_partitioning_ptscotch_proc_weight 0

TEST*/