| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | ! | ||
| 2 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | ! SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | ! Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | ! | ||
| 6 | ! This file is part of SLEPc. | ||
| 7 | ! SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | ! | ||
| 10 | ! Program usage: mpiexec -n <np> ./ex54f [-help] [-n <n>] [all SLEPc options] | ||
| 11 | ! | ||
| 12 | ! Description: Illustrates use of shell matrices in callback interface from Fortran. | ||
| 13 | ! Similar to ex21.c. This one solves a simple diagonal linear eigenproblem as a NEP. | ||
| 14 | ! | ||
| 15 | ! The command line options are: | ||
| 16 | ! -n <n>, where <n> = matrix dimension | ||
| 17 | |||
| 18 | #include <slepc/finclude/slepcnep.h> | ||
| 19 | |||
| 20 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 21 | ! Modules needed to pass and get the context to/from the Mat | ||
| 22 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 23 | |||
| 24 | module shell_ctx | ||
| 25 | use petscmat | ||
| 26 | implicit none | ||
| 27 | type :: MatCtx | ||
| 28 | PetscScalar :: lambda | ||
| 29 | end type MatCtx | ||
| 30 | ✗ | end module shell_ctx | |
| 31 | |||
| 32 | module shell_ctx_interfaces | ||
| 33 | use shell_ctx | ||
| 34 | implicit none | ||
| 35 | |||
| 36 | interface MatCreateShell | ||
| 37 | subroutine MatCreateShell(comm, mloc, nloc, m, n, ctx, mat, ierr) | ||
| 38 | use shell_ctx | ||
| 39 | MPI_Comm :: comm | ||
| 40 | PetscInt :: mloc, nloc, m, n | ||
| 41 | type(MatCtx) :: ctx | ||
| 42 | Mat :: mat | ||
| 43 | PetscErrorCode :: ierr | ||
| 44 | end subroutine MatCreateShell | ||
| 45 | end interface MatCreateShell | ||
| 46 | |||
| 47 | interface MatShellSetContext | ||
| 48 | subroutine MatShellSetContext(mat, ctx, ierr) | ||
| 49 | use shell_ctx | ||
| 50 | Mat :: mat | ||
| 51 | type(MatCtx) :: ctx | ||
| 52 | PetscErrorCode :: ierr | ||
| 53 | end subroutine MatShellSetContext | ||
| 54 | end interface MatShellSetContext | ||
| 55 | |||
| 56 | interface MatShellGetContext | ||
| 57 | subroutine MatShellGetContext(mat, ctx, ierr) | ||
| 58 | use shell_ctx | ||
| 59 | Mat :: mat | ||
| 60 | type(MatCtx), pointer :: ctx | ||
| 61 | PetscErrorCode :: ierr | ||
| 62 | end subroutine matShellGetContext | ||
| 63 | end interface MatShellGetContext | ||
| 64 | |||
| 65 | end module shell_ctx_interfaces | ||
| 66 | |||
| 67 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 68 | ! Module used to implement the shell matrix operations | ||
| 69 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 70 | |||
| 71 | module ex54fmodule | ||
| 72 | use slepcnep | ||
| 73 | implicit none | ||
| 74 | |||
| 75 | contains | ||
| 76 | ! -------------------------------------------------------------- | ||
| 77 | ! MyNEPFunction - Computes Function matrix T(lambda) | ||
| 78 | ! | ||
| 79 | 690 | subroutine MyNEPFunction(nep, lambda, T, P, ctx, ierr) | |
| 80 | use slepcnep | ||
| 81 | use shell_ctx_interfaces | ||
| 82 | implicit none | ||
| 83 | |||
| 84 | NEP :: nep | ||
| 85 | PetscScalar :: lambda | ||
| 86 | Mat :: T, P | ||
| 87 | PetscInt :: ctx | ||
| 88 | PetscErrorCode :: ierr | ||
| 89 | type(MatCtx), pointer :: ctxT | ||
| 90 | |||
| 91 |
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690 | PetscCall(MatShellGetContext(T, ctxT, ierr)) |
| 92 | 690 | ctxT%lambda = lambda | |
| 93 | end subroutine MyNEPFunction | ||
| 94 | |||
| 95 | ! -------------------------------------------------------------- | ||
| 96 | ! MyNEPJacobian - Computes Jacobian matrix T'(lambda) | ||
| 97 | ! | ||
| 98 | 18 | subroutine MyNEPJacobian(nep, lambda, T, ctx, ierr) | |
| 99 | use slepcnep | ||
| 100 | use shell_ctx_interfaces | ||
| 101 | implicit none | ||
| 102 | |||
| 103 | NEP :: nep | ||
| 104 | PetscScalar :: lambda | ||
| 105 | Mat :: T | ||
| 106 | PetscInt :: ctx | ||
| 107 | PetscErrorCode :: ierr | ||
| 108 | type(MatCtx), pointer :: ctxT | ||
| 109 | |||
| 110 |
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18 | PetscCall(MatShellGetContext(T, ctxT, ierr)) |
| 111 | 18 | ctxT%lambda = lambda | |
| 112 | end subroutine MyNEPJacobian | ||
| 113 | |||
| 114 | ! -------------------------------------------------------------- | ||
| 115 | ! MatMult_A - Shell matrix operation, multiples y=A*x | ||
| 116 | ! Here A=(D-lambda*I) where D is a diagonal matrix | ||
| 117 | ! | ||
| 118 | 8265 | subroutine MatMult_A(A, x, y, ierr) | |
| 119 | use shell_ctx_interfaces | ||
| 120 | implicit none | ||
| 121 | |||
| 122 | Mat :: A | ||
| 123 | Vec :: x, y | ||
| 124 | PetscErrorCode :: ierr | ||
| 125 | PetscInt :: i, istart, iend | ||
| 126 | PetscScalar :: val | ||
| 127 | type(MatCtx), pointer :: ctxA | ||
| 128 | ! | ||
| 129 |
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8265 | PetscCall(VecGetOwnershipRange(x, istart, iend, ierr)) |
| 130 |
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3314265 | do i = istart, iend - 1 |
| 131 | 3306000 | val = i + 1 | |
| 132 | 3306000 | val = 1.0/val | |
| 133 |
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3314265 | PetscCall(VecSetValue(y, i, val, INSERT_VALUES, ierr)) |
| 134 | end do | ||
| 135 |
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8265 | PetscCall(VecAssemblyBegin(y, ierr)) |
| 136 |
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8265 | PetscCall(VecAssemblyEnd(y, ierr)) |
| 137 |
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8265 | PetscCall(VecPointwiseMult(y, y, x, ierr)) |
| 138 |
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8265 | PetscCall(MatShellGetContext(A, ctxA, ierr)) |
| 139 |
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8265 | PetscCall(VecAXPY(y, -ctxA%lambda, x, ierr)) |
| 140 | end subroutine MatMult_A | ||
| 141 | |||
| 142 | ! -------------------------------------------------------------- | ||
| 143 | ! MatDuplicate_A - Shell matrix operation, duplicates A | ||
| 144 | ! | ||
| 145 | 18 | subroutine MatDuplicate_A(A, opt, M, ierr) | |
| 146 | use shell_ctx_interfaces | ||
| 147 | implicit none | ||
| 148 | |||
| 149 | Mat :: A, M | ||
| 150 | MatDuplicateOption :: opt | ||
| 151 | PetscErrorCode :: ierr | ||
| 152 | PetscInt :: ml, nl | ||
| 153 | type(MatCtx), pointer :: ctxM, ctxA | ||
| 154 | |||
| 155 |
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18 | PetscCall(MatGetLocalSize(A, ml, nl, ierr)) |
| 156 |
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18 | PetscCall(MatShellGetContext(A, ctxA, ierr)) |
| 157 |
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18 | allocate (ctxM) |
| 158 | 18 | ctxM%lambda = ctxA%lambda | |
| 159 |
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18 | PetscCall(MatCreateShell(PETSC_COMM_WORLD, ml, nl, PETSC_DETERMINE, PETSC_DETERMINE, ctxM, M, ierr)) |
| 160 |
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18 | PetscCall(MatShellSetOperation(M, MATOP_MULT, MatMult_A, ierr)) |
| 161 |
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18 | PetscCall(MatShellSetOperation(M, MATOP_DESTROY, MatDestroy_A, ierr)) |
| 162 | end subroutine MatDuplicate_A | ||
| 163 | |||
| 164 | ! -------------------------------------------------------------- | ||
| 165 | ! MatDestroy_A - Shell matrix operation, destroys A | ||
| 166 | ! | ||
| 167 | 18 | subroutine MatDestroy_A(A, ierr) | |
| 168 | use shell_ctx_interfaces | ||
| 169 | implicit none | ||
| 170 | |||
| 171 | Mat :: A | ||
| 172 | PetscErrorCode :: ierr | ||
| 173 | type(MatCtx), pointer :: ctxA | ||
| 174 | |||
| 175 |
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18 | PetscCall(MatShellGetContext(A, ctxA, ierr)) |
| 176 |
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18 | deallocate (ctxA) |
| 177 | end subroutine MatDestroy_A | ||
| 178 | |||
| 179 | ! -------------------------------------------------------------- | ||
| 180 | ! MatMult_B - Shell matrix operation, multiples y=B*x | ||
| 181 | ! Here B=-I | ||
| 182 | ! | ||
| 183 | 306 | subroutine MatMult_B(B, x, y, ierr) | |
| 184 | use petscmat | ||
| 185 | implicit none | ||
| 186 | |||
| 187 | Mat :: B | ||
| 188 | Vec :: x | ||
| 189 | Vec :: y | ||
| 190 | PetscErrorCode :: ierr | ||
| 191 | PetscScalar :: mone | ||
| 192 | |||
| 193 |
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306 | PetscCall(VecCopy(x, y, ierr)) |
| 194 | 306 | mone = -1.0 | |
| 195 |
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306 | PetscCall(VecScale(y, mone, ierr)) |
| 196 | end subroutine MatMult_B | ||
| 197 | |||
| 198 | end module ex54fmodule | ||
| 199 | |||
| 200 | !================================================================================================= | ||
| 201 | |||
| 202 | 16 | program ex54f | |
| 203 | 12 | use slepcnep | |
| 204 | use shell_ctx_interfaces | ||
| 205 | use ex54fmodule | ||
| 206 | implicit none | ||
| 207 | |||
| 208 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 209 | ! Declarations | ||
| 210 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 211 | |||
| 212 | NEP :: nep | ||
| 213 | Mat :: A, B | ||
| 214 | PetscInt :: n = 400, nev = 3, nconv | ||
| 215 | PetscErrorCode :: ierr | ||
| 216 | PetscScalar :: sigma | ||
| 217 | PetscBool :: flg, terse | ||
| 218 | PetscMPIInt :: rank | ||
| 219 | type(MatCtx) :: ctxA, ctxB | ||
| 220 | |||
| 221 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 222 | ! Beginning of program | ||
| 223 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 224 | |||
| 225 |
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12 | PetscCallA(SlepcInitialize(PETSC_NULL_CHARACTER, ierr)) |
| 226 |
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12 | PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-n', n, flg, ierr)) |
| 227 |
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12 | PetscCallMPIA(MPI_Comm_rank(PETSC_COMM_WORLD, rank, ierr)) |
| 228 |
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12 | if (rank == 0) then |
| 229 | 12 | write (*, '(/a,i4)') 'Nonlinear eigenproblem with shell matrices, n =', n | |
| 230 | end if | ||
| 231 | |||
| 232 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 233 | ! Create matrix-free operators for A and B corresponding to T and T' | ||
| 234 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 235 | |||
| 236 | 12 | ctxA%lambda = 0.0 | |
| 237 |
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12 | PetscCallA(MatCreateShell(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, n, n, ctxA, A, ierr)) |
| 238 |
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12 | PetscCallA(MatShellSetOperation(A, MATOP_MULT, MatMult_A, ierr)) |
| 239 |
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12 | PetscCallA(MatShellSetOperation(A, MATOP_DUPLICATE, MatDuplicate_A, ierr)) |
| 240 | |||
| 241 | 12 | ctxB%lambda = 0.0 ! unused | |
| 242 |
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12 | PetscCallA(MatCreateShell(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, n, n, ctxB, B, ierr)) |
| 243 |
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12 | PetscCallA(MatShellSetOperation(B, MATOP_MULT, MatMult_B, ierr)) |
| 244 | |||
| 245 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 246 | ! Create the eigensolver and set various options | ||
| 247 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 248 | |||
| 249 |
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12 | PetscCallA(NEPCreate(PETSC_COMM_WORLD, nep, ierr)) |
| 250 |
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12 | PetscCallA(NEPSetFunction(nep, A, A, MyNEPFunction, PETSC_NULL_INTEGER, ierr)) |
| 251 |
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12 | PetscCallA(NEPSetJacobian(nep, B, MyNEPJacobian, PETSC_NULL_INTEGER, ierr)) |
| 252 |
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12 | PetscCallA(NEPSetDimensions(nep, nev, PETSC_DETERMINE_INTEGER, PETSC_DETERMINE_INTEGER, ierr)) |
| 253 | 12 | sigma = 1.05 | |
| 254 |
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12 | PetscCallA(NEPSetTarget(nep, sigma, ierr)) |
| 255 |
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12 | PetscCallA(NEPSetFromOptions(nep, ierr)) |
| 256 | |||
| 257 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 258 | ! Solve the eigensystem, display solution and clean up | ||
| 259 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 260 | |||
| 261 |
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12 | PetscCallA(NEPSolve(nep, ierr)) |
| 262 | |||
| 263 |
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12 | PetscCallA(NEPGetConverged(nep, nconv, ierr)) |
| 264 |
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12 | if (rank == 0) then |
| 265 | 12 | write (*, '(a,i2/)') ' Number of converged approximate eigenpairs:', nconv | |
| 266 | end if | ||
| 267 | ! | ||
| 268 | ! ** show detailed info unless -terse option is given by user | ||
| 269 |
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12 | PetscCallA(PetscOptionsHasName(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-terse', terse, ierr)) |
| 270 |
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12 | if (terse) then |
| 271 |
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12 | PetscCallA(NEPErrorView(nep, NEP_ERROR_RELATIVE, PETSC_NULL_VIEWER, ierr)) |
| 272 | else | ||
| 273 | ✗ | PetscCallA(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD, PETSC_VIEWER_ASCII_INFO_DETAIL, ierr)) | |
| 274 | ✗ | PetscCallA(NEPConvergedReasonView(nep, PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 275 | ✗ | PetscCallA(NEPErrorView(nep, NEP_ERROR_RELATIVE, PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 276 | ✗ | PetscCallA(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 277 | end if | ||
| 278 | |||
| 279 |
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12 | PetscCallA(NEPDestroy(nep, ierr)) |
| 280 |
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12 | PetscCallA(MatDestroy(A, ierr)) |
| 281 |
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12 | PetscCallA(MatDestroy(B, ierr)) |
| 282 |
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12 | PetscCallA(SlepcFinalize(ierr)) |
| 283 | |||
| 284 | 2 | end program ex54f | |
| 285 | |||
| 286 | !/*TEST | ||
| 287 | ! | ||
| 288 | ! testset: | ||
| 289 | ! args: -terse | ||
| 290 | ! output_file: output/ex54f_1.out | ||
| 291 | ! filter: grep -v approximate | sed -e "s/[+-]0\.0*i//g" | ||
| 292 | ! test: | ||
| 293 | ! suffix: 1_slp | ||
| 294 | ! args: -nep_type slp -nep_slp_ksp_type gmres -nep_slp_pc_type none | ||
| 295 | ! requires: double | ||
| 296 | ! test: | ||
| 297 | ! suffix: 1_nleigs | ||
| 298 | ! args: -nep_type nleigs -rg_interval_endpoints 0.2,1.1 -nep_nleigs_ksp_type gmres -nep_nleigs_pc_type none | ||
| 299 | ! requires: !complex | ||
| 300 | ! test: | ||
| 301 | ! suffix: 1_nleigs_complex | ||
| 302 | ! args: -nep_type nleigs -rg_interval_endpoints 0.2,1.1,-.1,.1 -nep_nleigs_ksp_type gmres -nep_nleigs_pc_type none | ||
| 303 | ! requires: complex | ||
| 304 | ! | ||
| 305 | !TEST*/ | ||
| 306 |