| 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> ./ex16f [-help] [-n <n>] [-m <m>] [SLEPc opts] | ||
| 11 | ! | ||
| 12 | ! Description: Simple example that solves a quadratic eigensystem with PEP. | ||
| 13 | ! This is the Fortran90 equivalent to ex16.c | ||
| 14 | ! | ||
| 15 | ! The command line options are: | ||
| 16 | ! -n <n>, where <n> = number of grid subdivisions in x dimension | ||
| 17 | ! -m <m>, where <m> = number of grid subdivisions in y dimension | ||
| 18 | ! | ||
| 19 | ! ---------------------------------------------------------------------- | ||
| 20 | ! | ||
| 21 | #include <slepc/finclude/slepcpep.h> | ||
| 22 | 2 | program ex16f | |
| 23 | 2 | use slepcpep | |
| 24 | implicit none | ||
| 25 | |||
| 26 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 27 | ! Declarations | ||
| 28 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 29 | |||
| 30 |
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8 | Mat :: M, C, K, A(3) ! problem matrices |
| 31 | PEP :: pep ! polynomial eigenproblem solver context | ||
| 32 | PEPType :: tname | ||
| 33 | PetscInt :: N, nx, ny, i, j, Istart, Iend, II | ||
| 34 | PetscInt :: nev, ithree | ||
| 35 | PetscMPIInt :: rank | ||
| 36 | PetscErrorCode :: ierr | ||
| 37 | PetscBool :: flg, terse | ||
| 38 | PetscScalar :: mone, two, four, val | ||
| 39 | |||
| 40 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 41 | ! Beginning of program | ||
| 42 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 43 | |||
| 44 |
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2 | PetscCallA(SlepcInitialize(PETSC_NULL_CHARACTER, ierr)) |
| 45 |
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2 | PetscCallMPIA(MPI_Comm_rank(PETSC_COMM_WORLD, rank, ierr)) |
| 46 | 2 | nx = 10 | |
| 47 |
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2 | PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-n', nx, flg, ierr)) |
| 48 |
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2 | PetscCallA(PetscOptionsGetInt(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-m', ny, flg, ierr)) |
| 49 |
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2 | if (.not. flg) then |
| 50 | 2 | ny = nx | |
| 51 | end if | ||
| 52 | 2 | N = nx*ny | |
| 53 |
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2 | if (rank == 0) then |
| 54 | 2 | write (*, '(/a,i6,a,i4,a,i4,a)') 'Quadratic Eigenproblem, N=', N, ' (', nx, 'x', ny, ' grid)' | |
| 55 | end if | ||
| 56 | |||
| 57 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 58 | ! Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
| 59 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 60 | |||
| 61 | ! ** K is the 2-D Laplacian | ||
| 62 |
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2 | PetscCallA(MatCreate(PETSC_COMM_WORLD, K, ierr)) |
| 63 |
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2 | PetscCallA(MatSetSizes(K, PETSC_DECIDE, PETSC_DECIDE, N, N, ierr)) |
| 64 |
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2 | PetscCallA(MatSetFromOptions(K, ierr)) |
| 65 |
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2 | PetscCallA(MatGetOwnershipRange(K, Istart, Iend, ierr)) |
| 66 | 2 | mone = -1.0 | |
| 67 | 2 | four = 4.0 | |
| 68 |
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202 | do II = Istart, Iend - 1 |
| 69 | 200 | i = II/nx | |
| 70 | 200 | j = II - i*nx | |
| 71 |
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200 | if (i > 0) then |
| 72 |
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180 | PetscCallA(MatSetValue(K, II, II - nx, mone, INSERT_VALUES, ierr)) |
| 73 | end if | ||
| 74 |
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200 | if (i < ny - 1) then |
| 75 |
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180 | PetscCallA(MatSetValue(K, II, II + nx, mone, INSERT_VALUES, ierr)) |
| 76 | end if | ||
| 77 |
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200 | if (j > 0) then |
| 78 |
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180 | PetscCallA(MatSetValue(K, II, II - 1, mone, INSERT_VALUES, ierr)) |
| 79 | end if | ||
| 80 |
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200 | if (j < nx - 1) then |
| 81 |
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180 | PetscCallA(MatSetValue(K, II, II + 1, mone, INSERT_VALUES, ierr)) |
| 82 | end if | ||
| 83 |
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202 | PetscCallA(MatSetValue(K, II, II, four, INSERT_VALUES, ierr)) |
| 84 | end do | ||
| 85 |
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2 | PetscCallA(MatAssemblyBegin(K, MAT_FINAL_ASSEMBLY, ierr)) |
| 86 |
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2 | PetscCallA(MatAssemblyEnd(K, MAT_FINAL_ASSEMBLY, ierr)) |
| 87 | |||
| 88 | ! ** C is the 1-D Laplacian on horizontal lines | ||
| 89 |
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2 | PetscCallA(MatCreate(PETSC_COMM_WORLD, C, ierr)) |
| 90 |
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2 | PetscCallA(MatSetSizes(C, PETSC_DECIDE, PETSC_DECIDE, N, N, ierr)) |
| 91 |
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2 | PetscCallA(MatSetFromOptions(C, ierr)) |
| 92 |
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2 | PetscCallA(MatGetOwnershipRange(C, Istart, Iend, ierr)) |
| 93 | 2 | two = 2.0 | |
| 94 |
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202 | do II = Istart, Iend - 1 |
| 95 | 200 | i = II/nx | |
| 96 | 200 | j = II - i*nx | |
| 97 |
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200 | if (j > 0) then |
| 98 |
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180 | PetscCallA(MatSetValue(C, II, II - 1, mone, INSERT_VALUES, ierr)) |
| 99 | end if | ||
| 100 |
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200 | if (j < nx - 1) then |
| 101 |
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180 | PetscCallA(MatSetValue(C, II, II + 1, mone, INSERT_VALUES, ierr)) |
| 102 | end if | ||
| 103 |
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202 | PetscCallA(MatSetValue(C, II, II, two, INSERT_VALUES, ierr)) |
| 104 | end do | ||
| 105 |
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2 | PetscCallA(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY, ierr)) |
| 106 |
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2 | PetscCallA(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY, ierr)) |
| 107 | |||
| 108 | ! ** M is a diagonal matrix | ||
| 109 |
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2 | PetscCallA(MatCreate(PETSC_COMM_WORLD, M, ierr)) |
| 110 |
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2 | PetscCallA(MatSetSizes(M, PETSC_DECIDE, PETSC_DECIDE, N, N, ierr)) |
| 111 |
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2 | PetscCallA(MatSetFromOptions(M, ierr)) |
| 112 |
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2 | PetscCallA(MatGetOwnershipRange(M, Istart, Iend, ierr)) |
| 113 |
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202 | do II = Istart, Iend - 1 |
| 114 | 200 | val = II + 1 | |
| 115 |
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202 | PetscCallA(MatSetValue(M, II, II, val, INSERT_VALUES, ierr)) |
| 116 | end do | ||
| 117 |
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2 | PetscCallA(MatAssemblyBegin(M, MAT_FINAL_ASSEMBLY, ierr)) |
| 118 |
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2 | PetscCallA(MatAssemblyEnd(M, MAT_FINAL_ASSEMBLY, ierr)) |
| 119 | |||
| 120 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 121 | ! Create the eigensolver and set various options | ||
| 122 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 123 | |||
| 124 | ! ** Create eigensolver context | ||
| 125 |
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2 | PetscCallA(PEPCreate(PETSC_COMM_WORLD, pep, ierr)) |
| 126 | |||
| 127 | ! ** Set matrices and problem type | ||
| 128 | 2 | A(1) = K | |
| 129 | 2 | A(2) = C | |
| 130 | 2 | A(3) = M | |
| 131 | 2 | ithree = 3 | |
| 132 |
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2 | PetscCallA(PEPSetOperators(pep, ithree, A, ierr)) |
| 133 |
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2 | PetscCallA(PEPSetProblemType(pep, PEP_GENERAL, ierr)) |
| 134 | |||
| 135 | ! ** Set solver parameters at runtime | ||
| 136 |
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2 | PetscCallA(PEPSetFromOptions(pep, ierr)) |
| 137 | |||
| 138 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 139 | ! Solve the eigensystem | ||
| 140 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 141 | |||
| 142 |
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2 | PetscCallA(PEPSolve(pep, ierr)) |
| 143 | |||
| 144 | ! ** Optional: Get some information from the solver and display it | ||
| 145 |
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2 | PetscCallA(PEPGetType(pep, tname, ierr)) |
| 146 |
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2 | if (rank == 0) then |
| 147 | 2 | write (*, '(a,a)') ' Solution method: ', tname | |
| 148 | end if | ||
| 149 |
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2 | PetscCallA(PEPGetDimensions(pep, nev, PETSC_NULL_INTEGER, PETSC_NULL_INTEGER, ierr)) |
| 150 |
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2 | if (rank == 0) then |
| 151 | 2 | write (*, '(a,i4)') ' Number of requested eigenvalues:', nev | |
| 152 | end if | ||
| 153 | |||
| 154 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 155 | ! Display solution and clean up | ||
| 156 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 157 | |||
| 158 | ! ** show detailed info unless -terse option is given by user | ||
| 159 |
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2 | PetscCallA(PetscOptionsHasName(PETSC_NULL_OPTIONS, PETSC_NULL_CHARACTER, '-terse', terse, ierr)) |
| 160 |
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2 | if (terse) then |
| 161 |
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2 | PetscCallA(PEPErrorView(pep, PEP_ERROR_BACKWARD, PETSC_NULL_VIEWER, ierr)) |
| 162 | else | ||
| 163 | ✗ | PetscCallA(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD, PETSC_VIEWER_ASCII_INFO_DETAIL, ierr)) | |
| 164 | ✗ | PetscCallA(PEPConvergedReasonView(pep, PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 165 | ✗ | PetscCallA(PEPErrorView(pep, PEP_ERROR_BACKWARD, PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 166 | ✗ | PetscCallA(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD, ierr)) | |
| 167 | end if | ||
| 168 |
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2 | PetscCallA(PEPDestroy(pep, ierr)) |
| 169 |
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2 | PetscCallA(MatDestroy(K, ierr)) |
| 170 |
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2 | PetscCallA(MatDestroy(C, ierr)) |
| 171 |
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2 | PetscCallA(MatDestroy(M, ierr)) |
| 172 |
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2 | PetscCallA(SlepcFinalize(ierr)) |
| 173 | ✗ | end program ex16f | |
| 174 | |||
| 175 | !/*TEST | ||
| 176 | ! | ||
| 177 | ! test: | ||
| 178 | ! suffix: 1 | ||
| 179 | ! args: -pep_nev 4 -pep_ncv 19 -terse | ||
| 180 | ! requires: !complex | ||
| 181 | ! | ||
| 182 | !TEST*/ | ||
| 183 |