Actual source code: ex76f.F90

  1: !
  2: !   Description: Solves a linear system using PCHPDDM.
  3: !
  4: #include <petsc/finclude/petscksp.h>
  5: program main
  6:   use petscksp
  7:   implicit none
  8:   Vec x, b
  9:   Mat A, aux, Y, C
 10:   KSP ksp
 11:   PC pc
 12:   IS is, sizes
 13:   PetscScalar, parameter :: one = 1.0
 14:   PetscInt, pointer ::           idx(:)
 15:   PetscMPIInt rank, size
 16:   PetscInt m, N
 17:   PetscViewer viewer
 18:   character(PETSC_MAX_PATH_LEN) dir, name
 19:   PetscLayout map
 20:   PetscBool flg
 21:   PetscErrorCode ierr

 23:   PetscCallA(PetscInitialize(ierr))

 25:   PetscCallMPIA(MPI_Comm_size(PETSC_COMM_WORLD, size, ierr))
 26:   PetscCheckA(size == 4, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, 'This example requires 4 processes')
 27:   N = 1
 28:   PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-rhs', N, flg, ierr))
 29:   PetscCallMPIA(MPI_Comm_rank(PETSC_COMM_WORLD, rank, ierr))
 30:   PetscCallA(MatCreate(PETSC_COMM_WORLD, A, ierr))
 31:   dir = '.'
 32:   PetscCallA(PetscOptionsGetString(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-load_dir', dir, flg, ierr))
 33:   ! loading matrices
 34:   write (name, '(a,a,i0,a)') trim(dir), '/sizes_', size, '.dat'
 35:   PetscCallA(PetscViewerBinaryOpen(PETSC_COMM_WORLD, name, FILE_MODE_READ, viewer, ierr))
 36:   PetscCallA(ISCreate(PETSC_COMM_WORLD, sizes, ierr))
 37:   PetscCallA(ISLoad(sizes, viewer, ierr))
 38:   PetscCallA(ISGetIndices(sizes, idx, ierr))
 39:   PetscCallA(MatSetSizes(A, idx(1), idx(2), idx(3), idx(4), ierr))
 40:   PetscCallA(MatCreate(PETSC_COMM_WORLD, Y, ierr))
 41:   PetscCallA(MatSetSizes(Y, idx(5), idx(5), PETSC_DETERMINE, PETSC_DETERMINE, ierr))
 42:   PetscCallA(MatSetUp(Y, ierr))
 43:   PetscCallA(ISRestoreIndices(sizes, idx, ierr))
 44:   PetscCallA(ISDestroy(sizes, ierr))
 45:   PetscCallA(PetscViewerDestroy(viewer, ierr))
 46:   write (name, '(a,a)') trim(dir), '/A.dat'
 47:   PetscCallA(PetscViewerBinaryOpen(PETSC_COMM_WORLD, name, FILE_MODE_READ, viewer, ierr))
 48:   PetscCallA(MatLoad(A, viewer, ierr))
 49:   PetscCallA(PetscViewerDestroy(viewer, ierr))
 50:   write (name, '(a,a,i0,a)') trim(dir), '/is_', size, '.dat'
 51:   PetscCallA(PetscViewerBinaryOpen(PETSC_COMM_WORLD, name, FILE_MODE_READ, viewer, ierr))
 52:   PetscCallA(ISCreate(PETSC_COMM_WORLD, sizes, ierr))
 53:   PetscCallA(MatGetLayouts(Y, map, PETSC_NULL_LAYOUT, ierr))
 54:   PetscCallA(ISSetLayout(sizes, map, ierr))
 55:   PetscCallA(ISLoad(sizes, viewer, ierr))
 56:   PetscCallA(ISGetLocalSize(sizes, m, ierr))
 57:   PetscCallA(ISGetIndices(sizes, idx, ierr))
 58:   PetscCallA(ISCreateGeneral(PETSC_COMM_SELF, m, idx, PETSC_COPY_VALUES, is, ierr))
 59:   PetscCallA(ISRestoreIndices(sizes, idx, ierr))
 60:   PetscCallA(ISDestroy(sizes, ierr))
 61:   PetscCallA(PetscViewerDestroy(viewer, ierr))
 62:   write (name, '(a,a,i0,a)') trim(dir), '/Neumann_', size, '.dat'
 63:   PetscCallA(PetscViewerBinaryOpen(PETSC_COMM_WORLD, name, FILE_MODE_READ, viewer, ierr))
 64:   PetscCallA(MatLoad(Y, viewer, ierr))
 65:   PetscCallA(PetscViewerDestroy(viewer, ierr))
 66:   PetscCallA(MatGetDiagonalBlock(Y, C, ierr))
 67:   PetscCallA(MatDuplicate(C, MAT_COPY_VALUES, aux, ierr))
 68:   PetscCallA(MatDestroy(Y, ierr))
 69:   PetscCallA(MatSetBlockSizesFromMats(aux, A, A, ierr))
 70:   PetscCallA(MatSetOption(A, MAT_SYMMETRIC, PETSC_TRUE, ierr))
 71:   PetscCallA(MatSetOption(aux, MAT_SYMMETRIC, PETSC_TRUE, ierr))
 72:   ! ready for testing
 73:   PetscCallA(KSPCreate(PETSC_COMM_WORLD, ksp, ierr))
 74:   PetscCallA(KSPSetOperators(ksp, A, A, ierr))
 75:   PetscCallA(KSPGetPC(ksp, pc, ierr))
 76:   PetscCallA(PCSetType(pc, PCHPDDM, ierr))
 77: #if defined(PETSC_HAVE_HPDDM) && defined(PETSC_HAVE_DYNAMIC_LIBRARIES) && defined(PETSC_USE_SHARED_LIBRARIES)
 78:   PetscCallA(PCHPDDMSetAuxiliaryMat(pc, is, aux, PETSC_NULL_FUNCTION, PETSC_NULL_INTEGER, ierr))
 79:   PetscCallA(PCHPDDMHasNeumannMat(pc, PETSC_FALSE, ierr)) ! PETSC_TRUE is fine as well, just testing
 80: #endif
 81:   PetscCallA(ISDestroy(is, ierr))
 82:   PetscCallA(MatDestroy(aux, ierr))
 83:   PetscCallA(KSPSetFromOptions(ksp, ierr))
 84:   PetscCallA(MatCreateVecs(A, x, b, ierr))
 85:   PetscCallA(VecSet(b, one, ierr))
 86:   PetscCallA(KSPSolve(ksp, b, x, ierr))
 87:   PetscCallA(VecGetLocalSize(x, m, ierr))
 88:   PetscCallA(VecDestroy(x, ierr))
 89:   PetscCallA(VecDestroy(b, ierr))
 90:   if (N > 1) then
 91:     PetscCallA(PetscOptionsClearValue(PETSC_NULL_OPTIONS, '-ksp_converged_reason', ierr))
 92:     PetscCallA(KSPSetFromOptions(ksp, ierr))
 93:     PetscCallA(MatCreateDense(PETSC_COMM_WORLD, m, PETSC_DECIDE, PETSC_DECIDE, N, PETSC_NULL_SCALAR_ARRAY, C, ierr))
 94:     PetscCallA(MatCreateDense(PETSC_COMM_WORLD, m, PETSC_DECIDE, PETSC_DECIDE, N, PETSC_NULL_SCALAR_ARRAY, Y, ierr))
 95:     PetscCallA(MatSetRandom(C, PETSC_NULL_RANDOM, ierr))
 96:     PetscCallA(KSPMatSolve(ksp, C, Y, ierr))
 97:     PetscCallA(MatDestroy(Y, ierr))
 98:     PetscCallA(MatDestroy(C, ierr))
 99:   end if
100:   PetscCallA(KSPDestroy(ksp, ierr))
101:   PetscCallA(MatDestroy(A, ierr))
102:   PetscCallA(PetscFinalize(ierr))
103: end

105: !/*TEST
106: !
107: !   test:
108: !      requires: hpddm slepc datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
109: !      output_file: output/ex76_1.out
110: !      nsize: 4
111: !      args: -ksp_rtol 1e-3 -ksp_converged_reason -pc_type {{bjacobi hpddm}shared output} -pc_hpddm_coarse_sub_pc_type lu -sub_pc_type lu -options_left no -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO
112: !
113: !   test:
114: !      requires: hpddm slepc datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
115: !      suffix: geneo
116: !      output_file: output/ex76_geneo_pc_hpddm_levels_1_eps_nev-5.out
117: !      nsize: 4
118: !      args: -ksp_converged_reason -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type cholesky -pc_hpddm_levels_1_eps_nev 5 -pc_hpddm_levels_1_st_pc_type cholesky -pc_hpddm_coarse_p {{1 2}shared output} -pc_hpddm_coarse_pc_type redundant -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO
119: !
120: !   test:
121: !      requires: hpddm slepc datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
122: !      suffix: fgmres_geneo_20_p_2
123: !      output_file: output/ex76_fgmres_geneo_20_p_2.out
124: !      nsize: 4
125: !      args: -ksp_converged_reason -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 20 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_type fgmres -pc_hpddm_coarse_mat_type {{baij sbaij}shared output} -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO
126: !
127: !   test:
128: !      requires: hpddm slepc datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
129: !      suffix: fgmres_geneo_20_p_2_geneo
130: !      output_file: output/ex76_fgmres_geneo_20_p_2.out
131: !      nsize: 4
132: !      args: -ksp_converged_reason -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type cholesky -pc_hpddm_levels_1_eps_nev 20 -pc_hpddm_levels_2_p 2 -pc_hpddm_levels_2_mat_type {{baij sbaij}shared output} -pc_hpddm_levels_2_eps_nev {{5 20}shared output} -pc_hpddm_levels_2_sub_pc_type cholesky -pc_hpddm_levels_2_ksp_type gmres -ksp_type fgmres -pc_hpddm_coarse_mat_type {{baij sbaij}shared output} -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO
133: !   # PCHPDDM + KSPHPDDM test to exercise multilevel + multiple RHS in one go
134: !   test:
135: !      requires: hpddm slepc datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
136: !      suffix: fgmres_geneo_20_p_2_geneo_rhs
137: !      output_file: output/ex76_fgmres_geneo_20_p_2.out
138: !      nsize: 4
139: !      args: -ksp_converged_reason -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type cholesky -pc_hpddm_levels_1_eps_nev 20 -pc_hpddm_levels_2_p 2 -pc_hpddm_levels_2_mat_type baij -pc_hpddm_levels_2_eps_nev 5 -pc_hpddm_levels_2_sub_pc_type cholesky -pc_hpddm_levels_2_ksp_max_it 10 -pc_hpddm_levels_2_ksp_type hpddm -pc_hpddm_levels_2_ksp_hpddm_type gmres -ksp_type hpddm -ksp_hpddm_variant flexible -pc_hpddm_coarse_mat_type baij -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO -rhs 4
140: !
141: !TEST*/