Actual source code: test3f.F

slepc-3.11.2 2019-07-30
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  1: !
  2: !  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3: !  SLEPc - Scalable Library for Eigenvalue Problem Computations
  4: !  Copyright (c) 2002-2019, 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:       SlepcConvMonitor   ctx
 45:       PetscViewerAndFormat vf

 47: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 48: !     Beginning of program
 49: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 51:       call SlepcInitialize(PETSC_NULL_CHARACTER,ierr)
 52:       call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr)
 53:       n = 20
 54:       if (rank .eq. 0) then
 55:         write(*,100) n
 56:       endif
 57:  100  format (/'Diagonal Quadratic Eigenproblem, n =',I3,' (Fortran)')

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

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

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

 95: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 96: !     Create eigensolver and test interface functions
 97: ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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

111:       call PEPSetType(pep,PEPTOAR,ierr)
112:       call PEPGetType(pep,tname,ierr)
113:       if (rank .eq. 0) then
114:         write(*,120) tname
115:       endif
116:  120  format (' Type set to ',A)

118:       call PEPGetProblemType(pep,ptype,ierr)
119:       if (rank .eq. 0) then
120:         write(*,130) ptype
121:       endif
122:  130  format (' Problem type before changing = ',I2)
123:       call PEPSetProblemType(pep,PEP_HERMITIAN,ierr)
124:       call PEPGetProblemType(pep,ptype,ierr)
125:       if (rank .eq. 0) then
126:         write(*,140) ptype
127:       endif
128:  140  format (' ... changed to ',I2)

130:       call PEPGetExtract(pep,extr,ierr)
131:       if (rank .eq. 0) then
132:         write(*,150) extr
133:       endif
134:  150  format (' Extraction before changing = ',I2)
135:       call PEPSetExtract(pep,PEP_EXTRACT_STRUCTURED,ierr)
136:       call PEPGetExtract(pep,extr,ierr)
137:       if (rank .eq. 0) then
138:         write(*,160) extr
139:       endif
140:  160  format (' ... changed to ',I2)

142:       alpha = .1
143:       its = 5
144:       lambda = 1.
145:       scal = PEP_SCALE_SCALAR
146:       call PEPSetScale(pep,scal,alpha,PETSC_NULL_VEC,                   &
147:      &                 PETSC_NULL_VEC,its,lambda,ierr)
148:       call PEPGetScale(pep,scal,alpha,PETSC_NULL_VEC,                   &
149:      &                 PETSC_NULL_VEC,its,lambda,ierr)
150:       if (rank .eq. 0) then
151:         write(*,170) scal,alpha,its
152:       endif
153:  170  format (' Scaling: ',I2,', alpha=',F7.4,', its=',I2)

155:       basis = PEP_BASIS_CHEBYSHEV1
156:       call PEPSetBasis(pep,basis,ierr)
157:       call PEPGetBasis(pep,basis,ierr)
158:       if (rank .eq. 0) then
159:         write(*,180) basis
160:       endif
161:  180  format (' Polynomial basis: ',I2)

163:       np = 1
164:       tol = 1e-9
165:       its = 2
166:       refine = PEP_REFINE_SIMPLE
167:       rscheme = PEP_REFINE_SCHEME_SCHUR
168:       call PEPSetRefine(pep,refine,np,tol,its,rscheme,ierr)
169:       call PEPGetRefine(pep,refine,np,tol,its,rscheme,ierr)
170:       if (rank .eq. 0) then
171:         write(*,190) refine,tol,its,rscheme
172:       endif
173:  190  format (' Refinement: ',I2,', tol=',F7.4,', its=',I2', schem=',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 SlepcConvMonitorCreate(PETSC_VIEWER_STDOUT_WORLD,            &
217:      &                   PETSC_VIEWER_DEFAULT,ctx,ierr)
218:       call PEPMonitorSet(pep,PEPMONITORCONVERGED,ctx,                   &
219:      &                   SlepcConvMonitorDestroy,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: !
258: !TEST*/