GCC Code Coverage Report


Directory: ./
File: src/eps/impls/subspace/subspace.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 220 225 97.8%
Functions: 8 8 100.0%
Branches: 452 722 62.6%

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 eigensolver: "subspace"
12
13 Method: Subspace Iteration
14
15 Algorithm:
16
17 Subspace iteration with Rayleigh-Ritz projection and locking,
18 based on the SRRIT implementation.
19
20 References:
21
22 [1] "Subspace Iteration in SLEPc", SLEPc Technical Report STR-3,
23 available at https://slepc.upv.es.
24 */
25
26 #include <slepc/private/epsimpl.h>
27
28 typedef struct {
29 PetscBool estimatedrange; /* the filter range was not set by the user */
30 } EPS_SUBSPACE;
31
32 28 static PetscErrorCode EPSSetUp_Subspace_Filter(EPS eps)
33 {
34 28 EPS_SUBSPACE *ctx = (EPS_SUBSPACE*)eps->data;
35 28 PetscBool estimaterange=PETSC_TRUE;
36 28 PetscReal rleft,rright;
37 28 Mat A;
38
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28 PetscFunctionBegin;
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28 EPSCheckHermitianCondition(eps,PETSC_TRUE," with polynomial filter");
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28 EPSCheckStandardCondition(eps,PETSC_TRUE," with polynomial filter");
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28 PetscCheck(eps->intb<PETSC_MAX_REAL || eps->inta>PETSC_MIN_REAL,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"The defined computational interval should have at least one of their sides bounded");
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28 EPSCheckUnsupportedCondition(eps,EPS_FEATURE_ARBITRARY | EPS_FEATURE_REGION | EPS_FEATURE_EXTRACTION,PETSC_TRUE," with polynomial filter");
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28 PetscCall(STFilterSetInterval(eps->st,eps->inta,eps->intb));
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28 if (!ctx->estimatedrange) {
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28 PetscCall(STFilterGetRange(eps->st,&rleft,&rright));
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28 estimaterange = (!rleft && !rright)? PETSC_TRUE: PETSC_FALSE;
48 }
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4 if (estimaterange) { /* user did not set a range */
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28 PetscCall(STGetMatrix(eps->st,0,&A));
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28 PetscCall(MatEstimateSpectralRange_EPS(A,&rleft,&rright));
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28 PetscCall(PetscInfo(eps,"Setting eigenvalue range to [%g,%g]\n",(double)rleft,(double)rright));
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28 PetscCall(STFilterSetRange(eps->st,rleft,rright));
54 28 ctx->estimatedrange = PETSC_TRUE;
55 }
56
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28 if (eps->ncv==PETSC_DETERMINE && eps->nev==1) eps->nev = 40; /* user did not provide nev estimation */
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28 PetscCall(EPSSetDimensions_Default(eps,&eps->nev,&eps->ncv,&eps->mpd));
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28 PetscCheck(eps->ncv<=eps->nev+eps->mpd,PetscObjectComm((PetscObject)eps),PETSC_ERR_USER_INPUT,"The value of ncv must not be larger than nev+mpd");
59
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4 PetscFunctionReturn(PETSC_SUCCESS);
60 }
61
62 207 static PetscErrorCode EPSSetUp_Subspace(EPS eps)
63 {
64 207 PetscBool isfilt;
65
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207 PetscFunctionBegin;
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207 EPSCheckDefinite(eps);
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207 EPSCheckNotStructured(eps);
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207 if (eps->max_it==PETSC_DETERMINE) eps->max_it = PetscMax(100,2*eps->n/eps->ncv);
70
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207 if (!eps->which) PetscCall(EPSSetWhichEigenpairs_Default(eps));
71
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207 if (eps->which==EPS_ALL) {
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28 if (eps->nev==0) eps->nev = 1;
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28 PetscCall(PetscObjectTypeCompare((PetscObject)eps->st,STFILTER,&isfilt));
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28 PetscCheck(isfilt,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Spectrum slicing not supported in this solver");
75
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28 PetscCall(EPSSetUp_Subspace_Filter(eps));
76 } else {
77
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179 PetscCheck(eps->which==EPS_LARGEST_MAGNITUDE || eps->which==EPS_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver supports only largest magnitude or target magnitude eigenvalues");
78
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179 PetscCall(EPSSetDimensions_Default(eps,&eps->nev,&eps->ncv,&eps->mpd));
79 }
80
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207 EPSCheckUnsupported(eps,EPS_FEATURE_ARBITRARY | EPS_FEATURE_EXTRACTION | EPS_FEATURE_THRESHOLD | EPS_FEATURE_TWOSIDED);
81
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207 PetscCheck(eps->converged==EPSConvergedRelative,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver only supports relative convergence test");
82
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207 PetscCall(EPSAllocateSolution(eps,0));
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207 PetscCall(EPS_SetInnerProduct(eps));
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207 if (eps->ishermitian) PetscCall(DSSetType(eps->ds,DSHEP));
86
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56 else PetscCall(DSSetType(eps->ds,DSNHEP));
87
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207 PetscCall(DSAllocate(eps->ds,eps->ncv));
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39 PetscFunctionReturn(PETSC_SUCCESS);
89 }
90
91 207 static PetscErrorCode EPSSetUpSort_Subspace(EPS eps)
92 {
93 207 SlepcSC sc;
94
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207 PetscFunctionBegin;
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207 PetscCall(EPSSetUpSort_Default(eps));
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207 if (eps->which==EPS_ALL) {
98
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28 PetscCall(DSGetSlepcSC(eps->ds,&sc));
99 28 sc->rg = NULL;
100 28 sc->comparison = SlepcCompareLargestReal;
101 28 sc->comparisonctx = NULL;
102 28 sc->map = NULL;
103 28 sc->mapobj = NULL;
104 }
105
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39 PetscFunctionReturn(PETSC_SUCCESS);
106 }
107
108 /*
109 EPSSubspaceFindGroup - Find a group of nearly equimodular eigenvalues, provided
110 in arrays wr and wi, according to the tolerance grptol. Also the 2-norms
111 of the residuals must be passed in (rsd). Arrays are processed from index
112 l to index m only. The output information is:
113
114 ngrp - number of entries of the group
115 ctr - (w(l)+w(l+ngrp-1))/2
116 ae - average of wr(l),...,wr(l+ngrp-1)
117 arsd - average of rsd(l),...,rsd(l+ngrp-1)
118 */
119 6560 static PetscErrorCode EPSSubspaceFindGroup(PetscInt l,PetscInt m,PetscScalar *wr,PetscScalar *wi,PetscReal *rsd,PetscReal grptol,PetscInt *ngrp,PetscReal *ctr,PetscReal *ae,PetscReal *arsd)
120 {
121 6560 PetscInt i;
122 6560 PetscReal rmod,rmod1;
123
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6560 PetscFunctionBegin;
125 6560 *ngrp = 0;
126 6560 *ctr = 0;
127 6560 rmod = SlepcAbsEigenvalue(wr[l],wi[l]);
128
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19768 for (i=l;i<m;) {
130 16383 rmod1 = SlepcAbsEigenvalue(wr[i],wi[i]);
131
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16383 if (PetscAbsReal(rmod-rmod1) > grptol*(rmod+rmod1)) break;
132 10042 *ctr = (rmod+rmod1)/2.0;
133
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10042 if (wi[i] == 0.0) {
134 10042 (*ngrp)++;
135 10042 i++;
136 } else {
137 (*ngrp)+=2;
138 i+=2;
139 }
140 }
141
142 6560 *ae = 0;
143 6560 *arsd = 0;
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6560 if (*ngrp) {
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16602 for (i=l;i<l+*ngrp;i++) {
146 10042 (*ae) += PetscRealPart(wr[i]);
147 10042 (*arsd) += rsd[i]*rsd[i];
148 }
149 6560 *ae = *ae / *ngrp;
150 6560 *arsd = PetscSqrtReal(*arsd / *ngrp);
151 }
152
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6560 PetscFunctionReturn(PETSC_SUCCESS);
153 }
154
155 /*
156 EPSSubspaceResidualNorms - Computes the column norms of residual vectors
157 OP*V(1:n,l:m) - V*T(1:m,l:m), where, on entry, OP*V has been computed and
158 stored in R. On exit, rsd(l) to rsd(m) contain the computed norms.
159 */
160 1939 static PetscErrorCode EPSSubspaceResidualNorms(BV R,BV V,Mat T,PetscInt l,PetscInt m,PetscScalar *eigi,PetscReal *rsd)
161 {
162 1939 PetscInt i;
163
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1939 PetscFunctionBegin;
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1939 PetscCall(BVMult(R,-1.0,1.0,V,T));
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34128 for (i=l;i<m;i++) PetscCall(BVNormColumnBegin(R,i,NORM_2,rsd+i));
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34128 for (i=l;i<m;i++) PetscCall(BVNormColumnEnd(R,i,NORM_2,rsd+i));
168 #if !defined(PETSC_USE_COMPLEX)
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15487 for (i=l;i<m-1;i++) {
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14550 if (eigi[i]!=0.0) {
171 rsd[i] = SlepcAbs(rsd[i],rsd[i+1]);
172 rsd[i+1] = rsd[i];
173 i++;
174 }
175 }
176 #endif
177
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357 PetscFunctionReturn(PETSC_SUCCESS);
178 }
179
180 207 static PetscErrorCode EPSSolve_Subspace(EPS eps)
181 {
182 207 Mat H,Q,S,T,B;
183 207 BV AV,R;
184 207 PetscBool indef;
185 207 PetscInt i,k,ld,ngrp,nogrp,*itrsd,*itrsdold;
186 207 PetscInt nxtsrr,idsrr,idort,nxtort,nv,ncv = eps->ncv,its,ninside;
187 207 PetscReal arsd,oarsd,ctr,octr,ae,oae,*rsd,*orsd,tcond=1.0,gamma;
188 207 PetscScalar *oeigr,*oeigi;
189 /* Parameters */
190 207 PetscInt init = 5; /* Number of initial iterations */
191 207 PetscReal stpfac = 1.5; /* Max num of iter before next SRR step */
192 207 PetscReal alpha = 1.0; /* Used to predict convergence of next residual */
193 207 PetscReal beta = 1.1; /* Used to predict convergence of next residual */
194 207 PetscReal grptol = SLEPC_DEFAULT_TOL; /* Tolerance for EPSSubspaceFindGroup */
195 207 PetscReal cnvtol = 1e-6; /* Convergence criterion for cnv */
196 207 PetscInt orttol = 2; /* Number of decimal digits whose loss
197 can be tolerated in orthogonalization */
198
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207 PetscFunctionBegin;
200 207 its = 0;
201
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207 PetscCall(PetscMalloc6(ncv,&rsd,ncv,&orsd,ncv,&oeigr,ncv,&oeigi,ncv,&itrsd,ncv,&itrsdold));
202
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207 PetscCall(DSGetLeadingDimension(eps->ds,&ld));
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207 PetscCall(BVDuplicate(eps->V,&AV));
204
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207 PetscCall(BVDuplicate(eps->V,&R));
205
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207 PetscCall(STGetOperator(eps->st,&S));
206
207
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3956 for (i=0;i<ncv;i++) {
208 3749 rsd[i] = 0.0;
209 3749 itrsd[i] = -1;
210 }
211
212 /* Complete the initial basis with random vectors and orthonormalize them */
213
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3936 for (k=eps->nini;k<ncv;k++) {
214
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3729 PetscCall(BVSetRandomColumn(eps->V,k));
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3729 PetscCall(BVOrthonormalizeColumn(eps->V,k,PETSC_TRUE,NULL,NULL));
216 }
217
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1939 while (eps->reason == EPS_CONVERGED_ITERATING) {
219 1939 eps->its++;
220 1939 nv = PetscMin(eps->nconv+eps->mpd,ncv);
221
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1939 PetscCall(DSSetDimensions(eps->ds,nv,eps->nconv,0));
222
223
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34128 for (i=eps->nconv;i<nv;i++) {
224 32189 oeigr[i] = eps->eigr[i];
225 32189 oeigi[i] = eps->eigi[i];
226 32189 orsd[i] = rsd[i];
227 }
228
229 /* AV(:,idx) = OP * V(:,idx) */
230
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1939 PetscCall(BVSetActiveColumns(eps->V,eps->nconv,nv));
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1939 PetscCall(BVSetActiveColumns(AV,eps->nconv,nv));
232
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1939 PetscCall(BVMatMult(eps->V,S,AV));
233
234 /* T(:,idx) = V' * AV(:,idx) */
235
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1939 PetscCall(BVSetActiveColumns(eps->V,0,nv));
236
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1939 PetscCall(DSGetMat(eps->ds,DS_MAT_A,&H));
237
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1939 PetscCall(BVDot(AV,eps->V,H));
238
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1939 PetscCall(DSRestoreMat(eps->ds,DS_MAT_A,&H));
239
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1939 PetscCall(DSSetState(eps->ds,DS_STATE_RAW));
240
241 /* Solve projected problem */
242
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1939 PetscCall(DSSolve(eps->ds,eps->eigr,eps->eigi));
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1939 PetscCall(DSSort(eps->ds,eps->eigr,eps->eigi,NULL,NULL,NULL));
244
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1939 PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi));
245
246 /* Update vectors V(:,idx) = V * U(:,idx) */
247
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1939 PetscCall(DSGetMat(eps->ds,DS_MAT_Q,&Q));
248
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1939 PetscCall(BVSetActiveColumns(AV,0,nv));
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1939 PetscCall(BVSetActiveColumns(R,0,nv));
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1939 PetscCall(BVMultInPlace(eps->V,Q,eps->nconv,nv));
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1939 PetscCall(BVMultInPlace(AV,Q,eps->nconv,nv));
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1939 PetscCall(DSRestoreMat(eps->ds,DS_MAT_Q,&Q));
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1939 PetscCall(BVCopy(AV,R));
254
255 /* Convergence check */
256
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1939 PetscCall(DSGetMat(eps->ds,DS_MAT_A,&T));
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1939 PetscCall(EPSSubspaceResidualNorms(R,eps->V,T,eps->nconv,nv,eps->eigi,rsd));
258
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1939 PetscCall(DSRestoreMat(eps->ds,DS_MAT_A,&T));
259
260
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1939 if (eps->which==EPS_ALL && eps->its>1) { /* adjust eigenvalue count */
261 289 ninside = 0;
262
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289 PetscCall(STFilterGetThreshold(eps->st,&gamma));
263
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2567 for (i=eps->nconv;i<nv;i++) {
264
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2567 if (PetscRealPart(eps->eigr[i]) < gamma) break;
265 2278 ninside++;
266 }
267 289 eps->nev = eps->nconv+ninside;
268 }
269
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34128 for (i=eps->nconv;i<nv;i++) {
270 32189 itrsdold[i] = itrsd[i];
271 32189 itrsd[i] = its;
272 32189 eps->errest[i] = rsd[i];
273 }
274
275 3280 for (;;) {
276 /* Find clusters of computed eigenvalues */
277
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3280 PetscCall(EPSSubspaceFindGroup(eps->nconv,nv,eps->eigr,eps->eigi,eps->errest,grptol,&ngrp,&ctr,&ae,&arsd));
278
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3280 PetscCall(EPSSubspaceFindGroup(eps->nconv,nv,oeigr,oeigi,orsd,grptol,&nogrp,&octr,&oae,&oarsd));
279
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3280 if (ngrp!=nogrp) break;
280
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3073 if (ngrp==0) break;
281
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3073 if (PetscAbsReal(ae-oae)>ctr*cnvtol*(itrsd[eps->nconv]-itrsdold[eps->nconv])) break;
282
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2271 if (arsd>ctr*eps->tol) break;
283 1347 eps->nconv = eps->nconv + ngrp;
284
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1347 if (eps->nconv>=nv) break;
285 }
286
287
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1939 PetscCall(EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,nv));
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1939 PetscCall((*eps->stopping)(eps,eps->its,eps->max_it,eps->nconv,eps->nev,&eps->reason,eps->stoppingctx));
289
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1939 if (eps->reason != EPS_CONVERGED_ITERATING) break;
290
291 /* Compute nxtsrr (iteration of next projection step) */
292 1732 nxtsrr = PetscMin(eps->max_it,PetscMax((PetscInt)PetscFloorReal(stpfac*its),init));
293
294
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1732 if (ngrp!=nogrp || ngrp==0 || arsd>=oarsd) {
295 237 idsrr = nxtsrr - its;
296 } else {
297 1495 idsrr = (PetscInt)PetscFloorReal(alpha+beta*(itrsdold[eps->nconv]-itrsd[eps->nconv])*PetscLogReal(arsd/eps->tol)/PetscLogReal(arsd/oarsd));
298 1495 idsrr = PetscMax(1,idsrr);
299 }
300 1732 nxtsrr = PetscMin(nxtsrr,its+idsrr);
301
302 /* Compute nxtort (iteration of next orthogonalization step) */
303
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1732 PetscCall(DSCond(eps->ds,&tcond));
304
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1732 idort = PetscMax(1,(PetscInt)PetscFloorReal(orttol/PetscMax(1,PetscLog10Real(tcond))));
305 1732 nxtort = PetscMin(its+idort,nxtsrr);
306
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1732 PetscCall(PetscInfo(eps,"Updated iteration counts: nxtort=%" PetscInt_FMT ", nxtsrr=%" PetscInt_FMT "\n",nxtort,nxtsrr));
307
308 /* V(:,idx) = AV(:,idx) */
309
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1732 PetscCall(BVSetActiveColumns(eps->V,eps->nconv,nv));
310
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1732 PetscCall(BVSetActiveColumns(AV,eps->nconv,nv));
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1732 PetscCall(BVCopy(AV,eps->V));
312 1732 its++;
313
314 /* Orthogonalization loop */
315 19216 do {
316
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19216 PetscCall(BVGetMatrix(eps->V,&B,&indef));
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19216 PetscCall(BVSetMatrix(eps->V,NULL,PETSC_FALSE));
318
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53751 while (its<nxtort) {
319 /* A(:,idx) = OP*V(:,idx) with normalization */
320
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34535 PetscCall(BVMatMult(eps->V,S,AV));
321
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34535 PetscCall(BVCopy(AV,eps->V));
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34535 PetscCall(BVNormalize(eps->V,NULL));
323 34535 its++;
324 }
325
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19216 PetscCall(BVSetMatrix(eps->V,B,indef));
326 /* Orthonormalize vectors */
327
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19216 PetscCall(BVOrthogonalize(eps->V,NULL));
328 19216 nxtort = PetscMin(its+idort,nxtsrr);
329
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19216 } while (its<nxtsrr);
330 }
331
332
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207 PetscCall(PetscFree6(rsd,orsd,oeigr,oeigi,itrsd,itrsdold));
333
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207 PetscCall(BVDestroy(&AV));
334
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207 PetscCall(BVDestroy(&R));
335
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207 PetscCall(STRestoreOperator(eps->st,&S));
336
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207 PetscCall(DSTruncate(eps->ds,eps->nconv,PETSC_TRUE));
337
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39 PetscFunctionReturn(PETSC_SUCCESS);
338 }
339
340 187 static PetscErrorCode EPSDestroy_Subspace(EPS eps)
341 {
342
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187 PetscFunctionBegin;
343
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187 PetscCall(PetscFree(eps->data));
344
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35 PetscFunctionReturn(PETSC_SUCCESS);
345 }
346
347 187 SLEPC_EXTERN PetscErrorCode EPSCreate_Subspace(EPS eps)
348 {
349 187 EPS_SUBSPACE *ctx;
350
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187 PetscFunctionBegin;
352
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187 PetscCall(PetscNew(&ctx));
353 187 eps->data = (void*)ctx;
354
355 187 eps->useds = PETSC_TRUE;
356 187 eps->categ = EPS_CATEGORY_OTHER;
357
358 187 eps->ops->solve = EPSSolve_Subspace;
359 187 eps->ops->setup = EPSSetUp_Subspace;
360 187 eps->ops->setupsort = EPSSetUpSort_Subspace;
361 187 eps->ops->destroy = EPSDestroy_Subspace;
362 187 eps->ops->backtransform = EPSBackTransform_Default;
363 187 eps->ops->computevectors = EPSComputeVectors_Schur;
364
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187 PetscFunctionReturn(PETSC_SUCCESS);
365 }
366