Date: 2016-03-29T14:58:26+00:00

Actual source code: test15f.F
slepc-3.6.3 2016-03-29
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      1: !  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      2: !  SLEPc - Scalable Library for Eigenvalue Problem Computations
      3: !  Copyright (c) 2002-2015, Universitat Politecnica de Valencia, Spain
      4: !
      5: !  This file is part of SLEPc.
      6: !
      7: !  SLEPc is free software: you can redistribute it and/or modify it under  the
      8: !  terms of version 3 of the GNU Lesser General Public License as published by
      9: !  the Free Software Foundation.
     10: !
     11: !  SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY
     12: !  WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS
     13: !  FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for
     14: !  more details.
     15: !
     16: !  You  should have received a copy of the GNU Lesser General  Public  License
     17: !  along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
     18: !  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     19: !
     20: !  Program usage: mpirun -np n test15f [-help] [-n <n>] [all SLEPc options]
     21: !
     22: !  Description: Tests custom monitors from Fortran.
     23: !
     24: !  The command line options are:
     25: !    -n <n>, where <n> = number of grid points = matrix size
     26: !    -my_eps_monitor, activates the custom monitor
     27: !
     28: ! ----------------------------------------------------------------------
     29: !
     30:       program main
     31:       implicit none

     33: #include <petsc/finclude/petscsys.h>
     34: #include <petsc/finclude/petscvec.h>
     35: #include <petsc/finclude/petscmat.h>
     36: #include <slepc/finclude/slepcsys.h>
     37: #include <slepc/finclude/slepceps.h>

     39: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     40: !     Declarations
     41: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     42: !
     43: !  Variables:
     44: !     A     operator matrix
     45: !     eps   eigenproblem solver context

     47:       Mat            A
     48:       EPS            eps
     49:       EPSType        tname
     50:       PetscInt       n, i, Istart, Iend
     51:       PetscInt       nev
     52:       PetscInt       col(3)
     53:       PetscInt       i1,i2,i3
     54:       PetscMPIInt    rank
     55:       PetscErrorCode ierr
     56:       PetscBool      flg
     57:       PetscScalar    value(3)

     59: !  Note: Any user-defined Fortran routines (such as MyEPSMonitor)
     60: !  MUST be declared as external.

     62:       external MyEPSMonitor

     64: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     65: !     Beginning of program
     66: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

     68:       call SlepcInitialize(PETSC_NULL_CHARACTER,ierr)
     69:       call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr)
     70:       n = 30
     71:       call PetscOptionsGetInt(PETSC_NULL_CHARACTER,'-n',n,flg,ierr)

     73:       if (rank .eq. 0) then
     74:         write(*,100) n
     75:       endif
     76:  100  format (/'1-D Laplacian Eigenproblem, n =',I3,' (Fortran)')

     78: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     79: !     Compute the operator matrix that defines the eigensystem, Ax=kx
     80: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

     82:       call MatCreate(PETSC_COMM_WORLD,A,ierr)
     83:       call MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n,ierr)
     84:       call MatSetFromOptions(A,ierr)
     85:       call MatSetUp(A,ierr)

     87:       i1 = 1
     88:       i2 = 2
     89:       i3 = 3
     90:       call MatGetOwnershipRange(A,Istart,Iend,ierr)
     91:       if (Istart .eq. 0) then
     92:         i = 0
     93:         col(1) = 0
     94:         col(2) = 1
     95:         value(1) =  2.0
     96:         value(2) = -1.0
     97:         call MatSetValues(A,i1,i,i2,col,value,INSERT_VALUES,ierr)
     98:         Istart = Istart+1
     99:       endif
    100:       if (Iend .eq. n) then
    101:         i = n-1
    102:         col(1) = n-2
    103:         col(2) = n-1
    104:         value(1) = -1.0
    105:         value(2) =  2.0
    106:         call MatSetValues(A,i1,i,i2,col,value,INSERT_VALUES,ierr)
    107:         Iend = Iend-1
    108:       endif
    109:       value(1) = -1.0
    110:       value(2) =  2.0
    111:       value(3) = -1.0
    112:       do i=Istart,Iend-1
    113:         col(1) = i-1
    114:         col(2) = i
    115:         col(3) = i+1
    116:         call MatSetValues(A,i1,i,i3,col,value,INSERT_VALUES,ierr)
    117:       enddo

    119:       call MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY,ierr)
    120:       call MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY,ierr)

    122: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    123: !     Create the eigensolver and display info
    124: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    126: !     ** Create eigensolver context
    127:       call EPSCreate(PETSC_COMM_WORLD,eps,ierr)

    129: !     ** Set operators. In this case, it is a standard eigenvalue problem
    130:       call EPSSetOperators(eps,A,PETSC_NULL_OBJECT,ierr)
    131:       call EPSSetProblemType(eps,EPS_HEP,ierr)

    133: !     ** Set user-defined monitor
    134:       call PetscOptionsHasName(PETSC_NULL_CHARACTER,'-my_eps_monitor',  &
    135:      &                    flg,ierr)
    136:       if (flg) then
    137:         call EPSMonitorSet(eps,MyEPSMonitor,PETSC_NULL_OBJECT,          &
    138:      &                     PETSC_NULL_FUNCTION,ierr)
    139:       endif

    141: !     ** Set solver parameters at runtime
    142:       call EPSSetFromOptions(eps,ierr)

    144: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    145: !     Solve the eigensystem
    146: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    148:       call EPSSolve(eps,ierr)

    150: !     ** Optional: Get some information from the solver and display it
    151:       call EPSGetType(eps,tname,ierr)
    152:       if (rank .eq. 0) then
    153:         write(*,120) tname
    154:       endif
    155:  120  format (' Solution method: ',A)
    156:       call EPSGetDimensions(eps,nev,PETSC_NULL_INTEGER,                 &
    157:      &                      PETSC_NULL_INTEGER,ierr)
    158:       if (rank .eq. 0) then
    159:         write(*,130) nev
    160:       endif
    161:  130  format (' Number of requested eigenvalues:',I2)

    163: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    164: !     Display solution and clean up
    165: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    167:       call EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_NULL_OBJECT,ierr)
    168:       call EPSDestroy(eps,ierr)
    169:       call MatDestroy(A,ierr)

    171:       call SlepcFinalize(ierr)
    172:       end

    174: ! --------------------------------------------------------------
    175: !
    176: !  MyEPSMonitor - This is a user-defined routine for monitoring
    177: !  the EPS iterative solvers.
    178: !
    179: !  Input Parameters:
    180: !    eps   - eigensolver context
    181: !    its   - iteration number
    182: !    nconv - number of converged eigenpairs
    183: !    eigr  - real part of the eigenvalues
    184: !    eigi  - imaginary part of the eigenvalues
    185: !    errest- relative error estimates for each eigenpair
    186: !    nest  - number of error estimates
    187: !    dummy - optional user-defined monitor context (unused here)
    188: !
    189:       subroutine MyEPSMonitor(eps,its,nconv,eigr,eigi,errest,nest,dummy,&
    190:      &                        ierr)

    192:       implicit none

    194: #include <petsc/finclude/petscsys.h>
    195: #include <petsc/finclude/petscvec.h>
    196: #include <petsc/finclude/petscmat.h>
    197: #include <slepc/finclude/slepcsys.h>
    198: #include <slepc/finclude/slepceps.h>

    200:       EPS            eps
    201:       Vec            x
    202:       PetscErrorCode ierr
    203:       PetscInt       its,nconv,nest,dummy
    204:       PetscScalar    eigr(*),eigi(*)
    205:       PetscReal      re,errest(*)
    206:       PetscMPIInt    rank

    208:       call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr)
    209:       if (its .gt. 0 .and. rank .eq. 0) then
    210:         re = PetscRealPart(eigr(nconv+1))
    211:         write(6,140) its,nconv,re,errest(nconv+1)
    212:       endif

    214:  140  format(i3,' EPS nconv=',i2,' first unconverged value (error) ',   &
    215:      &       f6.4,' (',g9.3,')')
    216:       0
    217:       end