Date: 2022-08-09T09:05:50+00:00

Actual source code: test3f.F
slepc-3.17.2 2022-08-09
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      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: !  Description: Simple example to test the PEP Fortran interface.
     11: !
     12: ! ----------------------------------------------------------------------
     13: !
     14:       program main
     15: #include <slepc/finclude/slepcpep.h>
     16:       use slepcpep
     17:       implicit none

     19: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     20: !     Declarations
     21: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     22:       Mat                A(3),B
     23:       PEP                pep
     24:       ST                 st
     25:       KSP                ksp
     26:       DS                 ds
     27:       PetscReal          tol,tolabs,alpha,lambda
     28:       PetscScalar        tget,val
     29:       PetscInt           n,i,its,Istart,Iend
     30:       PetscInt           nev,ncv,mpd,nmat,np
     31:       PEPWhich           which
     32:       PEPConvergedReason reason
     33:       PEPType            tname
     34:       PEPExtract         extr
     35:       PEPBasis           basis
     36:       PEPScale           scal
     37:       PEPRefine          refine
     38:       PEPRefineScheme    rscheme
     39:       PEPConv            conv
     40:       PEPStop            stp
     41:       PEPProblemType     ptype
     42:       PetscMPIInt        rank
     43:       PetscErrorCode     ierr
     44:       PetscViewerAndFormat vf

     46: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     47: !     Beginning of program
     48: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

     50:       call SlepcInitialize(PETSC_NULL_CHARACTER,ierr)
     51:       call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr)
     52:       n = 20
     53:       if (rank .eq. 0) then
     54:         write(*,100) n
     55:       endif
     56:  100  format (/'Diagonal Quadratic Eigenproblem, n =',I3,' (Fortran)')

     58:       call MatCreate(PETSC_COMM_WORLD,A(1),ierr)
     59:       call MatSetSizes(A(1),PETSC_DECIDE,PETSC_DECIDE,n,n,ierr)
     60:       call MatSetFromOptions(A(1),ierr)
     61:       call MatSetUp(A(1),ierr)
     62:       call MatGetOwnershipRange(A(1),Istart,Iend,ierr)
     63:       do i=Istart,Iend-1
     64:         val = i+1
     65:         call MatSetValue(A(1),i,i,val,INSERT_VALUES,ierr)
     66:       enddo
     67:       call MatAssemblyBegin(A(1),MAT_FINAL_ASSEMBLY,ierr)
     68:       call MatAssemblyEnd(A(1),MAT_FINAL_ASSEMBLY,ierr)

     70:       call MatCreate(PETSC_COMM_WORLD,A(2),ierr)
     71:       call MatSetSizes(A(2),PETSC_DECIDE,PETSC_DECIDE,n,n,ierr)
     72:       call MatSetFromOptions(A(2),ierr)
     73:       call MatSetUp(A(2),ierr)
     74:       call MatGetOwnershipRange(A(2),Istart,Iend,ierr)
     75:       do i=Istart,Iend-1
     76:         val = 1
     77:         call MatSetValue(A(2),i,i,val,INSERT_VALUES,ierr)
     78:       enddo
     79:       call MatAssemblyBegin(A(2),MAT_FINAL_ASSEMBLY,ierr)
     80:       call MatAssemblyEnd(A(2),MAT_FINAL_ASSEMBLY,ierr)

     82:       call MatCreate(PETSC_COMM_WORLD,A(3),ierr)
     83:       call MatSetSizes(A(3),PETSC_DECIDE,PETSC_DECIDE,n,n,ierr)
     84:       call MatSetFromOptions(A(3),ierr)
     85:       call MatSetUp(A(3),ierr)
     86:       call MatGetOwnershipRange(A(3),Istart,Iend,ierr)
     87:       do i=Istart,Iend-1
     88:         val = real(n)/real(i+1)
     89:         call MatSetValue(A(3),i,i,val,INSERT_VALUES,ierr)
     90:       enddo
     91:       call MatAssemblyBegin(A(3),MAT_FINAL_ASSEMBLY,ierr)
     92:       call MatAssemblyEnd(A(3),MAT_FINAL_ASSEMBLY,ierr)

     94: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     95: !     Create eigensolver and test interface functions
     96: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

     98:       call PEPCreate(PETSC_COMM_WORLD,pep,ierr)
     99:       nmat = 3
    100:       call PEPSetOperators(pep,nmat,A,ierr)
    101:       call PEPGetNumMatrices(pep,nmat,ierr)
    102:       if (rank .eq. 0) then
    103:         write(*,110) nmat-1
    104:       endif
    105:  110  format (' Polynomial of degree ',I2)
    106:       i = 0
    107:       call PEPGetOperators(pep,i,B,ierr)
    108:       call MatView(B,PETSC_NULL_VIEWER,ierr)

    110:       call PEPSetType(pep,PEPTOAR,ierr)
    111:       call PEPGetType(pep,tname,ierr)
    112:       if (rank .eq. 0) then
    113:         write(*,120) tname
    114:       endif
    115:  120  format (' Type set to ',A)

    117:       call PEPGetProblemType(pep,ptype,ierr)
    118:       if (rank .eq. 0) then
    119:         write(*,130) ptype
    120:       endif
    121:  130  format (' Problem type before changing = ',I2)
    122:       call PEPSetProblemType(pep,PEP_HERMITIAN,ierr)
    123:       call PEPGetProblemType(pep,ptype,ierr)
    124:       if (rank .eq. 0) then
    125:         write(*,140) ptype
    126:       endif
    127:  140  format (' ... changed to ',I2)

    129:       call PEPGetExtract(pep,extr,ierr)
    130:       if (rank .eq. 0) then
    131:         write(*,150) extr
    132:       endif
    133:  150  format (' Extraction before changing = ',I2)
    134:       call PEPSetExtract(pep,PEP_EXTRACT_STRUCTURED,ierr)
    135:       call PEPGetExtract(pep,extr,ierr)
    136:       if (rank .eq. 0) then
    137:         write(*,160) extr
    138:       endif
    139:  160  format (' ... changed to ',I2)

    141:       alpha = .1
    142:       its = 5
    143:       lambda = 1.
    144:       scal = PEP_SCALE_SCALAR
    145:       call PEPSetScale(pep,scal,alpha,PETSC_NULL_VEC,                   &
    146:      &                 PETSC_NULL_VEC,its,lambda,ierr)
    147:       call PEPGetScale(pep,scal,alpha,PETSC_NULL_VEC,                   &
    148:      &                 PETSC_NULL_VEC,its,lambda,ierr)
    149:       if (rank .eq. 0) then
    150:         write(*,170) scal,alpha,its
    151:       endif
    152:  170  format (' Scaling: ',I2,', alpha=',F7.4,', its=',I2)

    154:       basis = PEP_BASIS_CHEBYSHEV1
    155:       call PEPSetBasis(pep,basis,ierr)
    156:       call PEPGetBasis(pep,basis,ierr)
    157:       if (rank .eq. 0) then
    158:         write(*,180) basis
    159:       endif
    160:  180  format (' Polynomial basis: ',I2)

    162:       np = 1
    163:       tol = 1e-9
    164:       its = 2
    165:       refine = PEP_REFINE_SIMPLE
    166:       rscheme = PEP_REFINE_SCHEME_SCHUR
    167:       call PEPSetRefine(pep,refine,np,tol,its,rscheme,ierr)
    168:       call PEPGetRefine(pep,refine,np,tol,its,rscheme,ierr)
    169:       if (rank .eq. 0) then
    170:         write(*,190) refine,tol,its,rscheme
    171:       endif
    172:  190  format (' Refinement: ',I2,', tol=',F7.4,', its=',I2,', schem=',  &
    173:      &        I2)

    175:       tget = 4.8
    176:       call PEPSetTarget(pep,tget,ierr)
    177:       call PEPGetTarget(pep,tget,ierr)
    178:       call PEPSetWhichEigenpairs(pep,PEP_TARGET_MAGNITUDE,ierr)
    179:       call PEPGetWhichEigenpairs(pep,which,ierr)
    180:       if (rank .eq. 0) then
    181:         write(*,200) which,PetscRealPart(tget)
    182:       endif
    183:  200  format (' Which = ',I2,', target = ',F4.1)

    185:       nev = 4
    186:       call PEPSetDimensions(pep,nev,PETSC_DEFAULT_INTEGER,              &
    187:      &                      PETSC_DEFAULT_INTEGER,ierr)
    188:       call PEPGetDimensions(pep,nev,ncv,mpd,ierr)
    189:       if (rank .eq. 0) then
    190:         write(*,210) nev,ncv,mpd
    191:       endif
    192:  210  format (' Dimensions: nev=',I2,', ncv=',I2,', mpd=',I2)

    194:       tol = 2.2e-4
    195:       its = 200
    196:       call PEPSetTolerances(pep,tol,its,ierr)
    197:       call PEPGetTolerances(pep,tol,its,ierr)
    198:       if (rank .eq. 0) then
    199:         write(*,220) tol,its
    200:       endif
    201:  220  format (' Tolerance =',F8.5,', max_its =',I4)

    203:       call PEPSetConvergenceTest(pep,PEP_CONV_ABS,ierr)
    204:       call PEPGetConvergenceTest(pep,conv,ierr)
    205:       call PEPSetStoppingTest(pep,PEP_STOP_BASIC,ierr)
    206:       call PEPGetStoppingTest(pep,stp,ierr)
    207:       if (rank .eq. 0) then
    208:         write(*,230) conv,stp
    209:       endif
    210:  230  format (' Convergence test =',I2,', stopping test =',I2)

    212:       call PetscViewerAndFormatCreate(PETSC_VIEWER_STDOUT_WORLD,        &
    213:      &                   PETSC_VIEWER_DEFAULT,vf,ierr)
    214:       call PEPMonitorSet(pep,PEPMONITORFIRST,vf,                        &
    215:      &                   PetscViewerAndFormatDestroy,ierr)
    216:       call PEPMonitorConvergedCreate(PETSC_VIEWER_STDOUT_WORLD,         &
    217:      &                   PETSC_VIEWER_DEFAULT,PETSC_NULL_VEC,vf,ierr)
    218:       call PEPMonitorSet(pep,PEPMONITORCONVERGED,vf,                    &
    219:      &                   PEPMonitorConvergedDestroy,ierr)
    220:       call PEPMonitorCancel(pep,ierr)

    222:       call PEPGetST(pep,st,ierr)
    223:       call STGetKSP(st,ksp,ierr)
    224:       tol = 1.e-8
    225:       tolabs = 1.e-35
    226:       call KSPSetTolerances(ksp,tol,tolabs,PETSC_DEFAULT_REAL,          &
    227:      &                      PETSC_DEFAULT_INTEGER,ierr)
    228:       call STView(st,PETSC_NULL_VIEWER,ierr)
    229:       call PEPGetDS(pep,ds,ierr)
    230:       call DSView(ds,PETSC_NULL_VIEWER,ierr)

    232:       call PEPSetFromOptions(pep,ierr)
    233:       call PEPSolve(pep,ierr)
    234:       call PEPGetConvergedReason(pep,reason,ierr)
    235:       if (rank .eq. 0) then
    236:         write(*,240) reason
    237:       endif
    238:  240  format (' Finished - converged reason =',I2)

    240: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    241: !     Display solution and clean up
    242: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    243:       call PEPErrorView(pep,PEP_ERROR_RELATIVE,PETSC_NULL_VIEWER,ierr)
    244:       call PEPDestroy(pep,ierr)
    245:       call MatDestroy(A(1),ierr)
    246:       call MatDestroy(A(2),ierr)
    247:       call MatDestroy(A(3),ierr)

    249:       call SlepcFinalize(ierr)
    250:       end

    252: !/*TEST
    253: !
    254: !   test:
    255: !      suffix: 1
    256: !      args: -pep_tol 1e-6 -pep_ncv 22
    257: !      filter: sed -e "s/[+-]0\.0*i//g"
    258: !
    259: !TEST*/