GCC Code Coverage Report


Directory: ./
File: src/nep/impls/narnoldi/narnoldi.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 236 244 96.7%
Functions: 15 15 100.0%
Branches: 696 1250 55.7%

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 /*
11 SLEPc nonlinear eigensolver: "narnoldi"
12
13 Method: Nonlinear Arnoldi
14
15 Algorithm:
16
17 Arnoldi for nonlinear eigenproblems.
18
19 References:
20
21 [1] H. Voss, "An Arnoldi method for nonlinear eigenvalue problems",
22 BIT 44:387-401, 2004.
23 */
24
25 #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/
26 #include <../src/nep/impls/nepdefl.h>
27
28 typedef struct {
29 PetscInt lag; /* interval to rebuild preconditioner */
30 KSP ksp; /* linear solver object */
31 } NEP_NARNOLDI;
32
33 180 static PetscErrorCode NEPSetUp_NArnoldi(NEP nep)
34 {
35
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180 PetscFunctionBegin;
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180 PetscCall(NEPSetDimensions_Default(nep,nep->nev,&nep->ncv,&nep->mpd));
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180 PetscCheck(nep->ncv<=nep->nev+nep->mpd,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"The value of ncv must not be larger than nev+mpd");
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180 if (nep->max_it==PETSC_DETERMINE) nep->max_it = nep->nev*nep->ncv;
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180 if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE;
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180 PetscCheck(nep->which==NEP_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"This solver supports only target magnitude eigenvalues");
41
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180 NEPCheckUnsupported(nep,NEP_FEATURE_CALLBACK | NEP_FEATURE_REGION | NEP_FEATURE_TWOSIDED);
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180 PetscCall(NEPAllocateSolution(nep,0));
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180 PetscCall(NEPSetWorkVecs(nep,3));
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36 PetscFunctionReturn(PETSC_SUCCESS);
45 }
46
47 170 static PetscErrorCode NEPSolve_NArnoldi(NEP nep)
48 {
49 170 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
50 170 Mat T,H,A;
51 170 Vec f,r,u,uu;
52 170 PetscScalar *X,lambda=0.0,lambda2=0.0,*eigr,sigma;
53 170 PetscReal beta,resnorm=0.0,nrm,perr=0.0;
54 170 PetscInt n;
55 170 PetscBool breakdown,skip=PETSC_FALSE;
56 170 BV Vext;
57 170 DS ds;
58 170 NEP_EXT_OP extop=NULL;
59 170 SlepcSC sc;
60 170 KSPConvergedReason kspreason;
61
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170 PetscFunctionBegin;
63 /* get initial space and shift */
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170 PetscCall(NEPGetDefaultShift(nep,&sigma));
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170 if (!nep->nini) {
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160 PetscCall(BVSetRandomColumn(nep->V,0));
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160 PetscCall(BVNormColumn(nep->V,0,NORM_2,&nrm));
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160 PetscCall(BVScaleColumn(nep->V,0,1.0/nrm));
69 n = 1;
70 } else n = nep->nini;
71
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170 if (!ctx->ksp) PetscCall(NEPNArnoldiGetKSP(nep,&ctx->ksp));
73
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170 PetscCall(NEPDeflationInitialize(nep,nep->V,ctx->ksp,PETSC_FALSE,nep->nev,&extop));
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170 PetscCall(NEPDeflationCreateBV(extop,nep->ncv,&Vext));
75
76 /* prepare linear solver */
77
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170 PetscCall(NEPDeflationSolveSetUp(extop,sigma));
78
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170 PetscCall(BVGetColumn(Vext,0,&f));
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170 PetscCall(VecDuplicate(f,&r));
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170 PetscCall(VecDuplicate(f,&u));
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170 PetscCall(BVGetColumn(nep->V,0,&uu));
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170 PetscCall(NEPDeflationCopyToExtendedVec(extop,uu,NULL,f,PETSC_FALSE));
84
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170 PetscCall(BVRestoreColumn(nep->V,0,&uu));
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170 PetscCall(VecCopy(f,r));
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170 PetscCall(NEPDeflationFunctionSolve(extop,r,f));
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170 PetscCall(VecNorm(f,NORM_2,&nrm));
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170 PetscCall(VecScale(f,1.0/nrm));
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170 PetscCall(BVRestoreColumn(Vext,0,&f));
90
91
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170 PetscCall(DSCreate(PetscObjectComm((PetscObject)nep),&ds));
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170 PetscCall(DSSetType(ds,DSNEP));
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170 PetscCall(DSNEPSetFN(ds,nep->nt,nep->f));
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170 PetscCall(DSAllocate(ds,nep->ncv));
95
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170 PetscCall(DSGetSlepcSC(ds,&sc));
96 170 sc->comparison = nep->sc->comparison;
97 170 sc->comparisonctx = nep->sc->comparisonctx;
98
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170 PetscCall(DSSetFromOptions(ds));
99
100 /* build projected matrices for initial space */
101
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170 PetscCall(DSSetDimensions(ds,n,0,0));
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170 PetscCall(NEPDeflationProjectOperator(extop,Vext,ds,0,n));
103
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170 PetscCall(PetscMalloc1(nep->ncv,&eigr));
105
106 /* Restart loop */
107
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1885 while (nep->reason == NEP_CONVERGED_ITERATING) {
108 1715 nep->its++;
109
110 /* solve projected problem */
111
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1715 PetscCall(DSSetDimensions(ds,n,0,0));
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1715 PetscCall(DSSetState(ds,DS_STATE_RAW));
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1715 PetscCall(DSSolve(ds,eigr,NULL));
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1715 PetscCall(DSSynchronize(ds,eigr,NULL));
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1715 if (nep->its>1) lambda2 = lambda;
116 1715 lambda = eigr[0];
117 1715 nep->eigr[nep->nconv] = lambda;
118
119 /* compute Ritz vector, x = V*s */
120
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1715 PetscCall(DSGetArray(ds,DS_MAT_X,&X));
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1715 PetscCall(BVSetActiveColumns(Vext,0,n));
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1715 PetscCall(BVMultVec(Vext,1.0,0.0,u,X));
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1715 PetscCall(DSRestoreArray(ds,DS_MAT_X,&X));
124
125 /* compute the residual, r = T(lambda)*x */
126
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1715 PetscCall(NEPDeflationComputeFunction(extop,lambda,&T));
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1715 PetscCall(MatMult(T,u,r));
128
129 /* convergence test */
130
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1715 PetscCall(VecNorm(r,NORM_2,&resnorm));
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1715 if (nep->its>1) perr=nep->errest[nep->nconv];
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1715 PetscCall((*nep->converged)(nep,lambda,0,resnorm,&nep->errest[nep->nconv],nep->convergedctx));
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1715 if (nep->errest[nep->nconv]<=nep->tol) {
134 230 nep->nconv = nep->nconv + 1;
135
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230 PetscCall(NEPDeflationLocking(extop,u,lambda));
136 skip = PETSC_TRUE;
137 }
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1715 PetscCall((*nep->stopping)(nep,nep->its,nep->max_it,nep->nconv,nep->nev,&nep->reason,nep->stoppingctx));
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1715 if (!skip || nep->reason>0) PetscCall(NEPMonitor(nep,nep->its,nep->nconv,nep->eigr,nep->eigi,nep->errest,(nep->reason>0)?nep->nconv:nep->nconv+1));
140
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1715 if (nep->reason == NEP_CONVERGED_ITERATING) {
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1545 if (!skip) {
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1485 if (n>=nep->ncv) {
144 nep->reason = NEP_DIVERGED_SUBSPACE_EXHAUSTED;
145 break;
146 }
147
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1485 if (ctx->lag && !(nep->its%ctx->lag) && nep->its>=2*ctx->lag && perr && nep->errest[nep->nconv]>.5*perr) PetscCall(NEPDeflationSolveSetUp(extop,lambda2));
148
149 /* continuation vector: f = T(sigma)\r */
150
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1485 PetscCall(BVGetColumn(Vext,n,&f));
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1485 PetscCall(NEPDeflationFunctionSolve(extop,r,f));
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1485 PetscCall(BVRestoreColumn(Vext,n,&f));
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1485 PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason));
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1485 if (kspreason<0) {
155 PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed, stopping solve\n",nep->its));
156 nep->reason = NEP_DIVERGED_LINEAR_SOLVE;
157 break;
158 }
159
160 /* orthonormalize */
161
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1485 PetscCall(BVOrthonormalizeColumn(Vext,n,PETSC_FALSE,&beta,&breakdown));
162
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1485 if (breakdown || beta==0.0) {
163 PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", orthogonalization failed, stopping solve\n",nep->its));
164 nep->reason = NEP_DIVERGED_BREAKDOWN;
165 break;
166 }
167
168 /* update projected matrices */
169
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1485 PetscCall(DSSetDimensions(ds,n+1,0,0));
170
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1485 PetscCall(NEPDeflationProjectOperator(extop,Vext,ds,n,n+1));
171 n++;
172 } else {
173 60 nep->its--; /* do not count this as a full iteration */
174
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60 PetscCall(BVGetColumn(Vext,0,&f));
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60 PetscCall(NEPDeflationSetRandomVec(extop,f));
176
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60 PetscCall(NEPDeflationSolveSetUp(extop,sigma));
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60 PetscCall(VecCopy(f,r));
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60 PetscCall(NEPDeflationFunctionSolve(extop,r,f));
179
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60 PetscCall(VecNorm(f,NORM_2,&nrm));
180
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60 PetscCall(VecScale(f,1.0/nrm));
181
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60 PetscCall(BVRestoreColumn(Vext,0,&f));
182 60 n = 1;
183
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60 PetscCall(DSSetDimensions(ds,n,0,0));
184
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60 PetscCall(NEPDeflationProjectOperator(extop,Vext,ds,n-1,n));
185 skip = PETSC_FALSE;
186 }
187 }
188 }
189
190
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170 PetscCall(NEPDeflationGetInvariantPair(extop,NULL,&H));
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170 PetscCall(DSSetType(nep->ds,DSNHEP));
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170 PetscCall(DSAllocate(nep->ds,PetscMax(nep->nconv,1)));
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170 PetscCall(DSSetDimensions(nep->ds,nep->nconv,0,nep->nconv));
194
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170 PetscCall(DSGetMat(nep->ds,DS_MAT_A,&A));
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170 PetscCall(MatCopy(H,A,SAME_NONZERO_PATTERN));
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170 PetscCall(DSRestoreMat(nep->ds,DS_MAT_A,&A));
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170 PetscCall(MatDestroy(&H));
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170 PetscCall(DSSolve(nep->ds,nep->eigr,nep->eigi));
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170 PetscCall(NEPDeflationReset(extop));
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170 PetscCall(VecDestroy(&u));
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170 PetscCall(VecDestroy(&r));
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170 PetscCall(BVDestroy(&Vext));
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170 PetscCall(DSDestroy(&ds));
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170 PetscCall(PetscFree(eigr));
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34 PetscFunctionReturn(PETSC_SUCCESS);
206 }
207
208 20 static PetscErrorCode NEPNArnoldiSetLagPreconditioner_NArnoldi(NEP nep,PetscInt lag)
209 {
210 20 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
211
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20 PetscFunctionBegin;
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20 PetscCheck(lag>=0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag must be non-negative");
214 20 ctx->lag = lag;
215
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20 PetscFunctionReturn(PETSC_SUCCESS);
216 }
217
218 /*@
219 NEPNArnoldiSetLagPreconditioner - Determines when the preconditioner is rebuilt in the
220 nonlinear solve.
221
222 Logically Collective
223
224 Input Parameters:
225 + nep - nonlinear eigenvalue solver
226 - lag - 0 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is
227 computed within the nonlinear iteration, 2 means every second time
228 the Jacobian is built, etc.
229
230 Options Database Keys:
231 . -nep_narnoldi_lag_preconditioner <lag> - the lag value
232
233 Notes:
234 The default is 1.
235 The preconditioner is ALWAYS built in the first iteration of a nonlinear solve.
236
237 Level: intermediate
238
239 .seealso: NEPNArnoldiGetLagPreconditioner()
240 @*/
241 20 PetscErrorCode NEPNArnoldiSetLagPreconditioner(NEP nep,PetscInt lag)
242 {
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20 PetscFunctionBegin;
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20 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
245
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20 PetscValidLogicalCollectiveInt(nep,lag,2);
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20 PetscTryMethod(nep,"NEPNArnoldiSetLagPreconditioner_C",(NEP,PetscInt),(nep,lag));
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20 PetscFunctionReturn(PETSC_SUCCESS);
248 }
249
250 10 static PetscErrorCode NEPNArnoldiGetLagPreconditioner_NArnoldi(NEP nep,PetscInt *lag)
251 {
252 10 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
253
254
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10 PetscFunctionBegin;
255 10 *lag = ctx->lag;
256
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10 PetscFunctionReturn(PETSC_SUCCESS);
257 }
258
259 /*@
260 NEPNArnoldiGetLagPreconditioner - Indicates how often the preconditioner is rebuilt.
261
262 Not Collective
263
264 Input Parameter:
265 . nep - nonlinear eigenvalue solver
266
267 Output Parameter:
268 . lag - the lag parameter
269
270 Level: intermediate
271
272 .seealso: NEPNArnoldiSetLagPreconditioner()
273 @*/
274 10 PetscErrorCode NEPNArnoldiGetLagPreconditioner(NEP nep,PetscInt *lag)
275 {
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(lag,2);
279
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10 PetscUseMethod(nep,"NEPNArnoldiGetLagPreconditioner_C",(NEP,PetscInt*),(nep,lag));
280
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10 PetscFunctionReturn(PETSC_SUCCESS);
281 }
282
283 120 static PetscErrorCode NEPSetFromOptions_NArnoldi(NEP nep,PetscOptionItems PetscOptionsObject)
284 {
285 120 PetscInt i;
286 120 PetscBool flg;
287 120 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
288
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120 PetscFunctionBegin;
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120 PetscOptionsHeadBegin(PetscOptionsObject,"NEP N-Arnoldi Options");
291 120 i = 0;
292
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120 PetscCall(PetscOptionsInt("-nep_narnoldi_lag_preconditioner","Interval to rebuild preconditioner","NEPNArnoldiSetLagPreconditioner",ctx->lag,&i,&flg));
293
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120 if (flg) PetscCall(NEPNArnoldiSetLagPreconditioner(nep,i));
294
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120 PetscOptionsHeadEnd();
296
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120 if (!ctx->ksp) PetscCall(NEPNArnoldiGetKSP(nep,&ctx->ksp));
298
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120 PetscCall(KSPSetFromOptions(ctx->ksp));
299
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24 PetscFunctionReturn(PETSC_SUCCESS);
300 }
301
302 10 static PetscErrorCode NEPNArnoldiSetKSP_NArnoldi(NEP nep,KSP ksp)
303 {
304 10 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
305
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10 PetscFunctionBegin;
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10 PetscCall(PetscObjectReference((PetscObject)ksp));
308
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10 PetscCall(KSPDestroy(&ctx->ksp));
309 10 ctx->ksp = ksp;
310 10 nep->state = NEP_STATE_INITIAL;
311
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10 PetscFunctionReturn(PETSC_SUCCESS);
312 }
313
314 /*@
315 NEPNArnoldiSetKSP - Associate a linear solver object (KSP) to the nonlinear
316 eigenvalue solver.
317
318 Collective
319
320 Input Parameters:
321 + nep - eigenvalue solver
322 - ksp - the linear solver object
323
324 Level: advanced
325
326 .seealso: NEPNArnoldiGetKSP()
327 @*/
328 10 PetscErrorCode NEPNArnoldiSetKSP(NEP nep,KSP ksp)
329 {
330
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10 PetscFunctionBegin;
331
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
332
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10 PetscValidHeaderSpecific(ksp,KSP_CLASSID,2);
333
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10 PetscCheckSameComm(nep,1,ksp,2);
334
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10 PetscTryMethod(nep,"NEPNArnoldiSetKSP_C",(NEP,KSP),(nep,ksp));
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10 PetscFunctionReturn(PETSC_SUCCESS);
336 }
337
338 110 static PetscErrorCode NEPNArnoldiGetKSP_NArnoldi(NEP nep,KSP *ksp)
339 {
340 110 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
341
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110 PetscFunctionBegin;
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110 if (!ctx->ksp) {
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110 PetscCall(KSPCreate(PetscObjectComm((PetscObject)nep),&ctx->ksp));
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110 PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->ksp,(PetscObject)nep,1));
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110 PetscCall(KSPSetOptionsPrefix(ctx->ksp,((PetscObject)nep)->prefix));
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110 PetscCall(KSPAppendOptionsPrefix(ctx->ksp,"nep_narnoldi_"));
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110 PetscCall(PetscObjectSetOptions((PetscObject)ctx->ksp,((PetscObject)nep)->options));
349
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110 PetscCall(KSPSetErrorIfNotConverged(ctx->ksp,PETSC_TRUE));
350
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120 PetscCall(KSPSetTolerances(ctx->ksp,SlepcDefaultTol(nep->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT));
351 }
352 110 *ksp = ctx->ksp;
353
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110 PetscFunctionReturn(PETSC_SUCCESS);
354 }
355
356 /*@
357 NEPNArnoldiGetKSP - Retrieve the linear solver object (KSP) associated with
358 the nonlinear eigenvalue solver.
359
360 Collective
361
362 Input Parameter:
363 . nep - nonlinear eigenvalue solver
364
365 Output Parameter:
366 . ksp - the linear solver object
367
368 Level: advanced
369
370 .seealso: NEPNArnoldiSetKSP()
371 @*/
372 110 PetscErrorCode NEPNArnoldiGetKSP(NEP nep,KSP *ksp)
373 {
374
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110 PetscFunctionBegin;
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110 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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110 PetscAssertPointer(ksp,2);
377
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110 PetscUseMethod(nep,"NEPNArnoldiGetKSP_C",(NEP,KSP*),(nep,ksp));
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110 PetscFunctionReturn(PETSC_SUCCESS);
379 }
380
381 10 static PetscErrorCode NEPView_NArnoldi(NEP nep,PetscViewer viewer)
382 {
383 10 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
384 10 PetscBool isascii;
385
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10 PetscFunctionBegin;
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10 PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
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10 if (isascii) {
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10 if (ctx->lag) PetscCall(PetscViewerASCIIPrintf(viewer," updating the preconditioner every %" PetscInt_FMT " iterations\n",ctx->lag));
390
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10 if (!ctx->ksp) PetscCall(NEPNArnoldiGetKSP(nep,&ctx->ksp));
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10 PetscCall(PetscViewerASCIIPushTab(viewer));
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10 PetscCall(KSPView(ctx->ksp,viewer));
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10 PetscCall(PetscViewerASCIIPopTab(viewer));
394 }
395
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2 PetscFunctionReturn(PETSC_SUCCESS);
396 }
397
398 180 static PetscErrorCode NEPReset_NArnoldi(NEP nep)
399 {
400 180 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
401
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180 PetscFunctionBegin;
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180 PetscCall(KSPReset(ctx->ksp));
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36 PetscFunctionReturn(PETSC_SUCCESS);
405 }
406
407 120 static PetscErrorCode NEPDestroy_NArnoldi(NEP nep)
408 {
409 120 NEP_NARNOLDI *ctx = (NEP_NARNOLDI*)nep->data;
410
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120 PetscFunctionBegin;
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120 PetscCall(KSPDestroy(&ctx->ksp));
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120 PetscCall(PetscFree(nep->data));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiSetLagPreconditioner_C",NULL));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiGetLagPreconditioner_C",NULL));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiSetKSP_C",NULL));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiGetKSP_C",NULL));
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24 PetscFunctionReturn(PETSC_SUCCESS);
419 }
420
421 120 SLEPC_EXTERN PetscErrorCode NEPCreate_NArnoldi(NEP nep)
422 {
423 120 NEP_NARNOLDI *ctx;
424
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120 PetscFunctionBegin;
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120 PetscCall(PetscNew(&ctx));
427 120 nep->data = (void*)ctx;
428 120 ctx->lag = 1;
429
430 120 nep->useds = PETSC_TRUE;
431
432 120 nep->ops->solve = NEPSolve_NArnoldi;
433 120 nep->ops->setup = NEPSetUp_NArnoldi;
434 120 nep->ops->setfromoptions = NEPSetFromOptions_NArnoldi;
435 120 nep->ops->reset = NEPReset_NArnoldi;
436 120 nep->ops->destroy = NEPDestroy_NArnoldi;
437 120 nep->ops->view = NEPView_NArnoldi;
438 120 nep->ops->computevectors = NEPComputeVectors_Schur;
439
440
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiSetLagPreconditioner_C",NEPNArnoldiSetLagPreconditioner_NArnoldi));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiGetLagPreconditioner_C",NEPNArnoldiGetLagPreconditioner_NArnoldi));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiSetKSP_C",NEPNArnoldiSetKSP_NArnoldi));
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120 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNArnoldiGetKSP_C",NEPNArnoldiGetKSP_NArnoldi));
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24 PetscFunctionReturn(PETSC_SUCCESS);
445 }
446