GCC Code Coverage Report

Directory: ./
File: include/slepc/private/epsimpl.h
Date: 2026-04-06 03:57:41
Exec Total Coverage
Lines: 165 175 94.3%
Functions: 8 8 100.0%
Branches: 448 736 60.9%
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 #pragma once
12
13 #include <slepceps.h>
14 #include <slepc/private/bvimpl.h>
15
16 /* SUBMANSEC = EPS */
17
18 SLEPC_EXTERN PetscBool EPSRegisterAllCalled;
19 SLEPC_EXTERN PetscBool EPSMonitorRegisterAllCalled;
20 SLEPC_EXTERN PetscErrorCode EPSRegisterAll(void);
21 SLEPC_EXTERN PetscErrorCode EPSMonitorRegisterAll(void);
22 SLEPC_EXTERN PetscLogEvent EPS_SetUp,EPS_Solve,EPS_CISS_SVD;
23
24 typedef struct _EPSOps *EPSOps;
25
26 struct _EPSOps {
27 PetscErrorCode (*solve)(EPS);
28 PetscErrorCode (*setup)(EPS);
29 PetscErrorCode (*setupsort)(EPS);
30 PetscErrorCode (*setfromoptions)(EPS,PetscOptionItems);
31 PetscErrorCode (*publishoptions)(EPS);
32 PetscErrorCode (*destroy)(EPS);
33 PetscErrorCode (*reset)(EPS);
34 PetscErrorCode (*view)(EPS,PetscViewer);
35 PetscErrorCode (*backtransform)(EPS);
36 PetscErrorCode (*computevectors)(EPS);
37 PetscErrorCode (*setdefaultst)(EPS);
38 PetscErrorCode (*setdstype)(EPS);
39 };
40
41 /*
42 Maximum number of monitors you can run with a single EPS
43 */
44 #define MAXEPSMONITORS 5
45
46 /*
47 The solution process goes through several states
48 */
49 typedef enum { EPS_STATE_INITIAL,
50 EPS_STATE_SETUP,
51 EPS_STATE_SOLVED,
52 EPS_STATE_EIGENVECTORS } EPSStateType;
53
54 /*
55 To classify the different solvers into categories
56 */
57 typedef enum { EPS_CATEGORY_KRYLOV, /* Krylov solver: relies on STApply and STBackTransform (same as OTHER) */
58 EPS_CATEGORY_PRECOND, /* Preconditioned solver: uses ST only to manage preconditioner */
59 EPS_CATEGORY_CONTOUR, /* Contour integral: ST used to solve linear systems at integration points */
60 EPS_CATEGORY_OTHER } EPSSolverType;
61
62 /*
63 To check for unsupported features at EPSSetUp_XXX()
64 */
65 typedef enum { EPS_FEATURE_BALANCE=1, /* balancing */
66 EPS_FEATURE_ARBITRARY=2, /* arbitrary selection of eigepairs */
67 EPS_FEATURE_REGION=4, /* nontrivial region for filtering */
68 EPS_FEATURE_EXTRACTION=8, /* extraction technique different from Ritz */
69 EPS_FEATURE_CONVERGENCE=16, /* convergence test selected by user */
70 EPS_FEATURE_STOPPING=32, /* stopping test */
71 EPS_FEATURE_THRESHOLD=64, /* threshold stopping test */
72 EPS_FEATURE_TWOSIDED=128 /* two-sided variant */
73 } EPSFeatureType;
74
75 /*
76 Defines the EPS data structure
77 */
78 struct _p_EPS {
79 PETSCHEADER(struct _EPSOps);
80 /*------------------------- User parameters ---------------------------*/
81 PetscInt max_it; /* maximum number of iterations */
82 PetscInt nev; /* number of eigenvalues to compute */
83 PetscInt ncv; /* number of basis vectors */
84 PetscInt mpd; /* maximum dimension of projected problem */
85 PetscInt nini,ninil; /* number of initial vectors (negative means not copied yet) */
86 PetscInt nds; /* number of basis vectors of deflation space */
87 PetscScalar target; /* target value */
88 PetscReal tol; /* tolerance */
89 PetscReal thres; /* threshold */
90 PetscBool threlative; /* threshold is relative */
91 EPSConv conv; /* convergence test */
92 EPSStop stop; /* stopping test */
93 EPSWhich which; /* which part of the spectrum to be sought */
94 PetscReal inta,intb; /* interval [a,b] for spectrum slicing */
95 EPSProblemType problem_type; /* which kind of problem to be solved */
96 EPSExtraction extraction; /* which kind of extraction to be applied */
97 EPSBalance balance; /* the balancing method */
98 PetscInt balance_its; /* number of iterations of the balancing method */
99 PetscReal balance_cutoff; /* cutoff value for balancing */
100 PetscBool trueres; /* whether the true residual norm must be computed */
101 PetscBool trackall; /* whether all the residuals must be computed */
102 PetscBool purify; /* whether eigenvectors need to be purified */
103 PetscBool twosided; /* whether to compute left eigenvectors (two-sided solver) */
104
105 /*-------------- User-provided functions and contexts -----------------*/
106 EPSConvergenceTestFn *converged;
107 EPSConvergenceTestFn *convergeduser;
108 PetscCtxDestroyFn *convergeddestroy;
109 EPSStoppingTestFn *stopping;
110 EPSStoppingTestFn *stoppinguser;
111 PetscCtxDestroyFn *stoppingdestroy;
112 SlepcArbitrarySelectionFn *arbitrary;
113 PetscCtxDestroyFn *arbitrarydestroy;
114 void *convergedctx;
115 void *stoppingctx;
116 void *arbitraryctx;
117 EPSMonitorFn *monitor[MAXEPSMONITORS];
118 PetscCtxDestroyFn *monitordestroy[MAXEPSMONITORS];
119 void *monitorcontext[MAXEPSMONITORS];
120 PetscInt numbermonitors;
121
122 /*----------------- Child objects and working data -------------------*/
123 ST st; /* spectral transformation object */
124 DS ds; /* direct solver object */
125 BV V; /* set of basis vectors and computed eigenvectors */
126 BV W; /* left basis vectors (if left eigenvectors requested) */
127 RG rg; /* optional region for filtering */
128 SlepcSC sc; /* sorting criterion data */
129 Vec D; /* diagonal matrix for balancing */
130 Vec *IS,*ISL; /* references to user-provided initial spaces */
131 Vec *defl; /* references to user-provided deflation space */
132 PetscScalar *eigr,*eigi; /* real and imaginary parts of eigenvalues */
133 PetscReal *errest; /* error estimates */
134 PetscScalar *rr,*ri; /* values computed by user's arbitrary selection function */
135 PetscInt *perm; /* permutation for eigenvalue ordering */
136 PetscInt nwork; /* number of work vectors */
137 Vec *work; /* work vectors */
138 void *data; /* placeholder for solver-specific stuff */
139
140 /* ----------------------- Status variables --------------------------*/
141 EPSStateType state; /* initial -> setup -> solved -> eigenvectors */
142 EPSSolverType categ; /* solver category */
143 PetscInt nconv; /* number of converged eigenvalues */
144 PetscInt its; /* number of iterations so far computed */
145 PetscInt n,nloc; /* problem dimensions (global, local) */
146 PetscReal nrma,nrmb; /* computed matrix norms */
147 PetscBool useds; /* whether the solver uses the DS object or not */
148 PetscBool isgeneralized;
149 PetscBool ispositive;
150 PetscBool ishermitian;
151 PetscBool isstructured;
152 EPSConvergedReason reason;
153 };
154
155 /*
156 Macros to test valid EPS arguments
157 */
158 #if !defined(PETSC_USE_DEBUG)
159
160 #define EPSCheckSolved(h,arg) do {(void)(h);} while (0)
161
162 #else
163
164 #define EPSCheckSolved(h,arg) \
165 do { \
166 PetscCheck((h)->state>=EPS_STATE_SOLVED,PetscObjectComm((PetscObject)(h)),PETSC_ERR_ARG_WRONGSTATE,"Must call EPSSolve() first: Parameter #%d",arg); \
167 } while (0)
168
169 #endif
170
171 /*
172 Macros to check settings at EPSSetUp()
173 */
174
175 /* EPSCheckHermitianDefinite: the problem is HEP or GHEP */
176 #define EPSCheckHermitianDefiniteCondition(eps,condition,msg) \
177 do { \
178 if (condition) { \
179 PetscCheck((eps)->ishermitian,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s cannot be used for non-%s problems",((PetscObject)(eps))->type_name,(msg),SLEPC_STRING_HERMITIAN); \
180 PetscCheck(!(eps)->isgeneralized || (eps)->ispositive,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s requires that the problem is %s-definite",((PetscObject)(eps))->type_name,(msg),SLEPC_STRING_HERMITIAN); \
181 } \
182 } while (0)
183 #define EPSCheckHermitianDefinite(eps) EPSCheckHermitianDefiniteCondition(eps,PETSC_TRUE,"")
184
185 /* EPSCheckHermitian: the problem is HEP, GHEP, or GHIEP */
186 #define EPSCheckHermitianCondition(eps,condition,msg) \
187 do { \
188 if (condition) { \
189 PetscCheck((eps)->ishermitian,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s cannot be used for non-%s problems",((PetscObject)(eps))->type_name,(msg),SLEPC_STRING_HERMITIAN); \
190 } \
191 } while (0)
192 #define EPSCheckHermitian(eps) EPSCheckHermitianCondition(eps,PETSC_TRUE,"")
193
194 /* EPSCheckDefinite: the problem is not GHIEP */
195 #define EPSCheckDefiniteCondition(eps,condition,msg) \
196 do { \
197 if (condition) { \
198 PetscCheck(!(eps)->isgeneralized || !(eps)->ishermitian || (eps)->ispositive,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s cannot be used for %s-indefinite problems",((PetscObject)(eps))->type_name,(msg),SLEPC_STRING_HERMITIAN); \
199 } \
200 } while (0)
201 #define EPSCheckDefinite(eps) EPSCheckDefiniteCondition(eps,PETSC_TRUE,"")
202
203 /* EPSCheckStandard: the problem is HEP or NHEP */
204 #define EPSCheckStandardCondition(eps,condition,msg) \
205 do { \
206 if (condition) { \
207 PetscCheck(!(eps)->isgeneralized,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s cannot be used for generalized problems",((PetscObject)(eps))->type_name,(msg)); \
208 } \
209 } while (0)
210 #define EPSCheckStandard(eps) EPSCheckStandardCondition(eps,PETSC_TRUE,"")
211
212 /* EPSCheckNotStructured: the problem is not structured */
213 #define EPSCheckNotStructuredCondition(eps,condition,msg) \
214 do { \
215 if (condition) { \
216 PetscCheck(!(eps)->isstructured,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s does not provide support for structured eigenproblems",((PetscObject)(eps))->type_name,(msg)); \
217 } \
218 } while (0)
219 #define EPSCheckNotStructured(eps) EPSCheckNotStructuredCondition(eps,PETSC_TRUE,"")
220
221 /* EPSCheckSinvert: shift-and-invert ST */
222 #define EPSCheckSinvertCondition(eps,condition,msg) \
223 do { \
224 if (condition) { \
225 PetscBool __flg; \
226 PetscCall(PetscObjectTypeCompare((PetscObject)(eps)->st,STSINVERT,&__flg)); \
227 PetscCheck(__flg,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s requires a shift-and-invert spectral transform",((PetscObject)(eps))->type_name,(msg)); \
228 } \
229 } while (0)
230 #define EPSCheckSinvert(eps) EPSCheckSinvertCondition(eps,PETSC_TRUE,"")
231
232 /* EPSCheckSinvertCayley: shift-and-invert or Cayley ST */
233 #define EPSCheckSinvertCayleyCondition(eps,condition,msg) \
234 do { \
235 if (condition) { \
236 PetscBool __flg; \
237 PetscCall(PetscObjectTypeCompareAny((PetscObject)(eps)->st,&__flg,STSINVERT,STCAYLEY,"")); \
238 PetscCheck(__flg,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s requires shift-and-invert or Cayley transform",((PetscObject)(eps))->type_name,(msg)); \
239 } \
240 } while (0)
241 #define EPSCheckSinvertCayley(eps) EPSCheckSinvertCayleyCondition(eps,PETSC_TRUE,"")
242
243 /* Check for unsupported features */
244 #define EPSCheckUnsupportedCondition(eps,mask,condition,msg) \
245 do { \
246 if (condition) { \
247 PetscCheck(!((mask) & EPS_FEATURE_BALANCE) || (eps)->balance==EPS_BALANCE_NONE,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s does not support balancing",((PetscObject)(eps))->type_name,(msg)); \
248 PetscCheck(!((mask) & EPS_FEATURE_ARBITRARY) || !(eps)->arbitrary,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s does not support arbitrary selection of eigenpairs",((PetscObject)(eps))->type_name,(msg)); \
249 if ((mask) & EPS_FEATURE_REGION) { \
250 PetscBool __istrivial; \
251 PetscCall(RGIsTrivial((eps)->rg,&__istrivial)); \
252 PetscCheck(__istrivial,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s does not support region filtering",((PetscObject)(eps))->type_name,(msg)); \
253 } \
254 PetscCheck(!((mask) & EPS_FEATURE_EXTRACTION) || (eps)->extraction==EPS_RITZ,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s only supports Ritz extraction",((PetscObject)(eps))->type_name,(msg)); \
255 PetscCheck(!((mask) & EPS_FEATURE_CONVERGENCE) || (eps)->converged==EPSConvergedRelative,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s only supports the default convergence test",((PetscObject)(eps))->type_name,(msg)); \
256 PetscCheck(!((mask) & EPS_FEATURE_STOPPING) || (eps)->stopping==EPSStoppingBasic,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s only supports the default stopping test",((PetscObject)(eps))->type_name,(msg)); \
257 PetscCheck(!((mask) & EPS_FEATURE_THRESHOLD) || (eps)->stopping!=EPSStoppingThreshold,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s does not support the threshold stopping test",((PetscObject)(eps))->type_name,(msg)); \
258 PetscCheck(!((mask) & EPS_FEATURE_TWOSIDED) || !(eps)->twosided,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_SUP,"The solver '%s'%s cannot compute left eigenvectors (no two-sided variant)",((PetscObject)(eps))->type_name,(msg)); \
259 } \
260 } while (0)
261 #define EPSCheckUnsupported(eps,mask) EPSCheckUnsupportedCondition(eps,mask,PETSC_TRUE,"")
262
263 /* Check for ignored features */
264 #define EPSCheckIgnoredCondition(eps,mask,condition,msg) \
265 do { \
266 if (condition) { \
267 if (((mask) & EPS_FEATURE_BALANCE) && (eps)->balance!=EPS_BALANCE_NONE) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the balancing settings\n",((PetscObject)(eps))->type_name,(msg))); \
268 if (((mask) & EPS_FEATURE_ARBITRARY) && (eps)->arbitrary) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the settings for arbitrary selection of eigenpairs\n",((PetscObject)(eps))->type_name,(msg))); \
269 if ((mask) & EPS_FEATURE_REGION) { \
270 PetscBool __istrivial; \
271 PetscCall(RGIsTrivial((eps)->rg,&__istrivial)); \
272 if (!__istrivial) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the specified region\n",((PetscObject)(eps))->type_name,(msg))); \
273 } \
274 if (((mask) & EPS_FEATURE_EXTRACTION) && (eps)->extraction!=EPS_RITZ) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the extraction settings\n",((PetscObject)(eps))->type_name,(msg))); \
275 if (((mask) & EPS_FEATURE_CONVERGENCE) && (eps)->converged!=EPSConvergedRelative) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the convergence test settings\n",((PetscObject)(eps))->type_name,(msg))); \
276 if (((mask) & EPS_FEATURE_STOPPING) && (eps)->stopping!=EPSStoppingBasic) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the stopping test settings\n",((PetscObject)(eps))->type_name,(msg))); \
277 if (((mask) & EPS_FEATURE_TWOSIDED) && (eps)->twosided) PetscCall(PetscInfo((eps),"The solver '%s'%s ignores the two-sided flag\n",((PetscObject)(eps))->type_name,(msg))); \
278 } \
279 } while (0)
280 #define EPSCheckIgnored(eps,mask) EPSCheckIgnoredCondition(eps,mask,PETSC_TRUE,"")
281
282 /*
283 EPSSetCtxThreshold - Fills EPSStoppingCtx with data needed for the threshold stopping test
284
285 k = number of converged approximations, n = total number of available approximations
286 */
287 #define EPSSetCtxThreshold(eps,eigr,eigi,err_est,k,n) \
288 do { \
289 if ((eps)->stop==EPS_STOP_THRESHOLD && k) { \
290 PetscScalar __kr=(eigr)[k-1],__ki=(eigi)[k-1],__krn=0.0,__kin=0.0,__kr0=(eigr)[0],__ki0=(eigi)[0]; \
291 PetscCall(STBackTransform((eps)->st,1,&__kr,&__ki)); \
292 PetscCall(STBackTransform((eps)->st,1,&__kr0,&__ki0)); \
293 if (n>k) { \
294 __krn=(eigr)[k];__kin=(eigi)[k]; \
295 PetscCall(STBackTransform((eps)->st,1,&__krn,&__kin)); \
296 } \
297 if ((eps)->which==EPS_LARGEST_MAGNITUDE || (eps)->which==EPS_SMALLEST_MAGNITUDE) { \
298 ((EPSStoppingCtx)(eps)->stoppingctx)->firstev = SlepcAbsEigenvalue(__kr0,__ki0); \
299 ((EPSStoppingCtx)(eps)->stoppingctx)->lastev = SlepcAbsEigenvalue(__kr,__ki); \
300 ((EPSStoppingCtx)(eps)->stoppingctx)->firstnc = SlepcAbsEigenvalue(__krn,__kin); \
301 } else { \
302 ((EPSStoppingCtx)(eps)->stoppingctx)->firstev = PetscRealPart(__kr0); \
303 ((EPSStoppingCtx)(eps)->stoppingctx)->lastev = PetscRealPart(__kr); \
304 ((EPSStoppingCtx)(eps)->stoppingctx)->firstnc = PetscRealPart(__krn); \
305 } \
306 ((EPSStoppingCtx)(eps)->stoppingctx)->errest = (err_est)[k]; \
307 ((EPSStoppingCtx)(eps)->stoppingctx)->napprox = n; \
308 } \
309 } while (0)
310
311 /*
312 EPS_SetInnerProduct - set B matrix for inner product if appropriate.
313 */
314 8776 static inline PetscErrorCode EPS_SetInnerProduct(EPS eps)
315 {
316 8776 Mat B;
317
318
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 8776 PetscFunctionBegin;
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 8776 if (!eps->V) PetscCall(EPSGetBV(eps,&eps->V));
320
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 8776 if (eps->ispositive || (eps->isgeneralized && eps->ishermitian)) {
321
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 1438 PetscCall(STGetBilinearForm(eps->st,&B));
322
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 1438 PetscCall(BVSetMatrix(eps->V,B,PetscNot(eps->ispositive)));
323
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 1438 if (eps->twosided) PetscCall(BVSetMatrix(eps->W,B,PetscNot(eps->ispositive)));
324
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 1438 PetscCall(MatDestroy(&B));
325
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 7338 } else PetscCall(BVSetMatrix(eps->V,NULL,PETSC_FALSE));
326
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 1689 PetscFunctionReturn(PETSC_SUCCESS);
327 }
328
329 /*
330 EPS_Purify - purify the first k vectors in the V basis
331 */
332 795 static inline PetscErrorCode EPS_Purify(EPS eps,PetscInt k)
333 {
334 795 PetscInt i;
335 795 Vec v,z;
336
337
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 795 PetscFunctionBegin;
338
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 795 PetscCall(BVCreateVec(eps->V,&v));
339
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 14633 for (i=0;i<k;i++) {
340
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 13838 PetscCall(BVCopyVec(eps->V,i,v));
341
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 13838 PetscCall(BVGetColumn(eps->V,i,&z));
342
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 13838 PetscCall(STApply(eps->st,v,z));
343
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 13838 PetscCall(BVRestoreColumn(eps->V,i,&z));
344 }
345
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 795 PetscCall(VecDestroy(&v));
346
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 165 PetscFunctionReturn(PETSC_SUCCESS);
347 }
348
349 /*
350 EPS_KSPSetOperators - Sets the KSP matrices, see also ST_KSPSetOperators()
351 */
352 3771 static inline PetscErrorCode EPS_KSPSetOperators(KSP ksp,Mat A,Mat B)
353 {
354 3771 const char *prefix;
355
356
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 3771 PetscFunctionBegin;
357
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 3771 PetscCall(KSPSetOperators(ksp,A,B));
358
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 3771 PetscCall(MatGetOptionsPrefix(B,&prefix));
359
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 3771 if (!prefix) {
360 /* set Mat prefix to be the same as KSP to enable setting command-line options (e.g. MUMPS)
361 only applies if the Mat has no user-defined prefix */
362
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 3771 PetscCall(KSPGetOptionsPrefix(ksp,&prefix));
363
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 3771 PetscCall(MatSetOptionsPrefix(B,prefix));
364 }
365
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 803 PetscFunctionReturn(PETSC_SUCCESS);
366 }
367
368 /*
369 EPS_GetActualConverged - Gets the actual value of nconv; in special cases the
370 number of available eigenvalues is larger than the computed ones
371 */
372 273289 static inline PetscErrorCode EPS_GetActualConverged(EPS eps,PetscInt *nconv)
373 {
374
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 273289 PetscFunctionBegin;
375 273289 *nconv = eps->nconv;
376
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 273289 if (eps->isstructured) {
377
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 34537 if (eps->problem_type == EPS_BSE && (eps->which == EPS_SMALLEST_MAGNITUDE || eps->which == EPS_LARGEST_MAGNITUDE || eps->which == EPS_TARGET_MAGNITUDE)) *nconv *= 2;
378
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 8679 else if (eps->problem_type == EPS_HAMILT && (eps->which == EPS_SMALLEST_MAGNITUDE || eps->which == EPS_LARGEST_MAGNITUDE || eps->which == EPS_TARGET_MAGNITUDE)) *nconv *= 2;
379
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 7604 else if (eps->problem_type == EPS_LREP && (eps->which == EPS_SMALLEST_MAGNITUDE || eps->which == EPS_LARGEST_MAGNITUDE || eps->which == EPS_TARGET_MAGNITUDE)) *nconv *= 2;
380 }
381
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 273289 PetscFunctionReturn(PETSC_SUCCESS);
382 }
383
384 16832 static inline PetscErrorCode EPS_GetEigenvector_BSE(EPS eps,BV V,PetscInt i,Vec Vr,Vec Vi)
385 {
386 16832 PetscInt k;
387 16832 Vec v0,v1,w,w0,w1;
388 16832 Mat H;
389 16832 IS is[2];
390
391
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 16832 PetscFunctionBegin;
392
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 16832 PetscCheck(eps->which == EPS_SMALLEST_MAGNITUDE || eps->which == EPS_LARGEST_MAGNITUDE || eps->which == EPS_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)(eps)),PETSC_ERR_PLIB,"Inconsistent state");
393 /* BSE problem, even index is +lambda, odd index is -lambda */
394 16832 k = eps->perm[i/2];
395
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 16832 if (i%2) {
396 /* eigenvector of -lambda is J*conj(x) where J=[0 I; I 0] and x is eigenvector of lambda */
397
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 8416 PetscCall(VecDuplicate(Vr?Vr:Vi,&w));
398
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 8416 PetscCall(STGetMatrix(eps->st,0,&H));
399
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 8416 PetscCall(MatNestGetISs(H,is,NULL));
400
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 8416 if (Vr) {
401
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 8416 PetscCall(BV_GetEigenvector(V,k,eps->eigi[k],w,NULL));
402
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 8416 PetscCall(VecConjugate(w));
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 8416 PetscCall(VecGetSubVector(w,is[0],&w0));
404
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 8416 PetscCall(VecGetSubVector(w,is[1],&w1));
405
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 8416 PetscCall(VecGetSubVector(Vr,is[0],&v0));
406
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 8416 PetscCall(VecGetSubVector(Vr,is[1],&v1));
407
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 8416 PetscCall(VecCopy(w1,v0));
408
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 8416 PetscCall(VecCopy(w0,v1));
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 8416 PetscCall(VecRestoreSubVector(w,is[0],&w0));
410
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 8416 PetscCall(VecRestoreSubVector(w,is[1],&w1));
411
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 8416 PetscCall(VecRestoreSubVector(Vr,is[0],&v0));
412
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 8416 PetscCall(VecRestoreSubVector(Vr,is[1],&v1));
413 }
414 #if !defined(PETSC_USE_COMPLEX)
415
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 4752 if (Vi) {
416
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 988 PetscCall(BV_GetEigenvector(V,k,eps->eigi[k],NULL,w));
417
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 988 PetscCall(VecScale(w,-1.0));
418
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 988 PetscCall(VecGetSubVector(w,is[0],&w0));
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 988 PetscCall(VecGetSubVector(w,is[1],&w1));
420
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 988 PetscCall(VecGetSubVector(Vi,is[0],&v0));
421
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 988 PetscCall(VecGetSubVector(Vi,is[1],&v1));
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 988 PetscCall(VecCopy(w1,v0));
423
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 988 PetscCall(VecCopy(w0,v1));
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 988 PetscCall(VecRestoreSubVector(w,is[0],&w0));
425
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 988 PetscCall(VecRestoreSubVector(w,is[1],&w1));
426
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 988 PetscCall(VecRestoreSubVector(Vi,is[0],&v0));
427
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 988 PetscCall(VecRestoreSubVector(Vi,is[1],&v1));
428 }
429 #endif
430
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 8416 PetscCall(VecDestroy(&w));
431 } else {
432
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 8416 PetscCall(BV_GetEigenvector(V,k,eps->eigi[k],Vr,Vi));
433 }
434
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 2872 PetscFunctionReturn(PETSC_SUCCESS);
435 }
436
437 260 static inline PetscErrorCode EPS_GetEigenvector_HAMILT(EPS eps,BV V,PetscInt i,Vec Vr,Vec Vi)
438 {
439 #if !defined(PETSC_USE_COMPLEX)
440 260 PetscInt k;
441 260 Vec w;
442 260 PetscInt k0,k1,k2,iquad;
443 260 PetscReal nrm,nrmr=0.0,nrmi=0.0,sgn;
444 #endif
445
446
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 260 PetscFunctionBegin;
447 #if !defined(PETSC_USE_COMPLEX)
448 260 k = eps->perm[i/2];
449
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 260 if (eps->eigi[k]==0.0) { /* real eigenvalue */
450 ✗ if (Vr) {
451 ✗ PetscCall(BVCopyVec(V,k+eps->ncv/2+1,Vr));
452 ✗ PetscCall(BVGetColumn(V,k,&w));
453 ✗ PetscCall(VecAXPY(Vr,(i%2)?-eps->eigr[k]:eps->eigr[k],w));
454 ✗ PetscCall(BVRestoreColumn(V,k,&w));
455 ✗ PetscCall(VecNorm(Vr,NORM_2,&nrmr));
456 }
457 ✗ if (Vi) PetscCall(VecZeroEntries(Vi));
458 ✗ nrm = nrmr;
459
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 260 } else if (eps->eigr[k]==0.0 ) { /* purely imaginary eigenvalue */
460
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 60 if (Vr) {
461
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 60 PetscCall(BVCopyVec(V,k+eps->ncv/2+1,Vr));
462
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 60 PetscCall(VecNorm(Vr,NORM_2,&nrmr));
463 }
464
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 60 if (Vi) {
465
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 60 PetscCall(BVCopyVec(V,k,Vi));
466
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 60 PetscCall(VecScale(Vi,(i%2)?-eps->eigi[k]:eps->eigi[k]));
467
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 60 PetscCall(VecNorm(Vi,NORM_2,&nrmi));
468 }
469 60 nrm = SlepcAbs(nrmr,nrmi);
470 } else { /* quadruple eigenvalue (-conj(lambda),-lambda,lambda,conj(lambda)) */
471 200 iquad = i%2; /* index within the 4 values */
472
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 200 if (i>=2) {
473 160 k2 = eps->perm[(i-2)/2];
474
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 160 if (eps->eigr[k]==eps->eigr[k2] && eps->eigi[k]==-eps->eigi[k2]) iquad += 2;
475 }
476
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 160 k0 = (iquad<2)? k: k2;
477 200 k1 = k0+1;
478 /* Vr+Vi*i obtained as eig*u+v where u=ur+ui*i is stored in cols k0 (ur) and k1 (ui) and
479 v=vr+vi*i is in cols shifted by ncv/2+1.
480 For lambda=eigr+eigi*i:
481 Vr+Vi*i = (eigr+eigi*i)(ur+ui*i) + vr+vi*i
482 Vr+Vi*i = eigr*(ur+ui*i) - eigi*ui+eigi*ur*i + vr+vi*i
483 Vr+Vi*i = eigr*ur-eigi*ui+vr + (eigi*ur+eigr*ui+vi)*i
484 For -conj(lambda): eigr, ui and vi have the signs changed
485 For -lambda: eigr and eigi have the signs changed
486 For conj(lambda): eigi, ui and vi have the signs changed */
487
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 200 if (Vr) {
488
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 200 sgn = (iquad<2)? -1.0: 1.0;
489
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 200 PetscCall(BVCopyVec(V,k0,Vr)); /* ur */
490
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 200 PetscCall(VecScale(Vr,sgn*eps->eigr[k0]));
491
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 200 PetscCall(BVGetColumn(V,k1,&w)); /* ui */
492
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 200 PetscCall(VecAXPY(Vr,-sgn*eps->eigi[k0],w));
493
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 200 PetscCall(BVRestoreColumn(V,k1,&w));
494
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 200 PetscCall(BVGetColumn(V,k0+eps->ncv/2+1,&w)); /* vr */
495
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 200 PetscCall(VecAXPY(Vr,1.0,w));
496
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 200 PetscCall(BVRestoreColumn(V,k0+eps->ncv/2+1,&w));
497
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 200 PetscCall(VecNorm(Vr,NORM_2,&nrmr));
498 }
499
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 200 if (Vi) {
500
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 200 sgn = (iquad%2)? -1.0: 1.0;
501
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 200 PetscCall(BVCopyVec(V,k0,Vi)); /* ur */
502
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 200 PetscCall(VecScale(Vi,sgn*eps->eigi[k0]));
503
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 200 PetscCall(BVGetColumn(V,k1,&w)); /* ui */
504
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 200 PetscCall(VecAXPY(Vi,sgn*eps->eigr[k0],w));
505
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 200 PetscCall(BVRestoreColumn(V,k1,&w));
506
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 200 PetscCall(BVGetColumn(V,k1+eps->ncv/2+1,&w)); /* vi */
507
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 200 sgn = (iquad%3)? 1.0: -1.0;
508
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 200 PetscCall(VecAXPY(Vi,sgn,w));
509
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 200 PetscCall(BVRestoreColumn(V,k1+eps->ncv/2+1,&w));
510
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 200 PetscCall(VecNorm(Vi,NORM_2,&nrmi));
511 }
512 200 nrm = SlepcAbs(nrmr,nrmi);
513 }
514
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 260 if (Vr) PetscCall(VecScale(Vr,1.0/nrm));
515
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 260 if (Vi) PetscCall(VecScale(Vi,1.0/nrm));
516 #endif
517
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 52 PetscFunctionReturn(PETSC_SUCCESS);
518 }
519
520 2544 static inline PetscErrorCode EPS_GetEigenvector_LREP(EPS eps,BV V,PetscInt i,Vec Vr,Vec Vi)
521 {
522 2544 PetscInt k;
523 2544 Vec v;
524 2544 Mat H;
525 2544 IS is[2];
526
527
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 2544 PetscFunctionBegin;
528 /* LREP problem, even index is +lambda, odd index is -lambda */
529 2544 k = eps->perm[i/2];
530
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 2544 PetscCall(BV_GetEigenvector(V,k,eps->eigi[k],Vr,Vi));
531
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 2544 if (i%2) {
532 /* eigenvector of -lambda is S*x where S=[I 0; 0 -I] and x is eigenvector of lambda */
533
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 1272 PetscCall(STGetMatrix(eps->st,0,&H));
534
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 1272 PetscCall(MatNestGetISs(H,is,NULL));
535
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 1272 PetscCall(VecGetSubVector(Vr,is[1],&v));
536
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 1272 PetscCall(VecScale(v,-1.0));
537
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 1272 PetscCall(VecRestoreSubVector(Vr,is[1],&v));
538 }
539
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 432 PetscFunctionReturn(PETSC_SUCCESS);
540 }
541
542 /*
543 EPS_GetEigenvector - Gets the i-th eigenvector taking into account the case
544 where i exceeds the number of computed vectors (structure-preserving solver).
545 The argument V should be eps->V for right eigenvectors, eps->W for left ones.
546 */
547 93702 static inline PetscErrorCode EPS_GetEigenvector(EPS eps,BV V,PetscInt i,Vec Vr,Vec Vi)
548 {
549 93702 PetscInt k;
550 93702 PetscBool reduced;
551 93702 Mat H;
552
553
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 93702 PetscFunctionBegin;
554
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 93702 if (!eps->isstructured) {
555 74066 k = eps->perm[i];
556
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 74066 PetscCall(BV_GetEigenvector(V,k,eps->eigi[k],Vr,Vi));
557 } else {
558
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 19636 switch (eps->problem_type) {
559 14288 case EPS_BSE:
560
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 14288 PetscCall(EPS_GetEigenvector_BSE(eps,V,i,Vr,Vi));
561 break;
562 260 case EPS_HAMILT:
563
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 7957 PetscCall(EPS_GetEigenvector_HAMILT(eps,V,i,Vr,Vi));
564 break;
565 5088 case EPS_LREP:
566
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 5088 PetscCall(STGetMatrix(eps->st,0,&H));
567
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 5088 PetscCall(SlepcCheckMatLREPReduced(H,&reduced));
568
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 5088 if (reduced) PetscCall(EPS_GetEigenvector_LREP(eps,V,i,Vr,Vi));
569
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 2544 else PetscCall(EPS_GetEigenvector_BSE(eps,V,i,Vr,Vi));
570 break;
571 ✗ default:
572 ✗ SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"Inconsistent state");
573 }
574 }
575
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 16659 PetscFunctionReturn(PETSC_SUCCESS);
576 }
577
578 SLEPC_INTERN PetscErrorCode EPSSetWhichEigenpairs_Default(EPS);
579 SLEPC_INTERN PetscErrorCode EPSSetDimensions_Default(EPS,PetscInt*,PetscInt*,PetscInt*);
580 SLEPC_INTERN PetscErrorCode EPSBackTransform_Default(EPS);
581 SLEPC_INTERN PetscErrorCode EPSComputeVectors(EPS);
582 SLEPC_INTERN PetscErrorCode EPSComputeVectors_Hermitian(EPS);
583 SLEPC_INTERN PetscErrorCode EPSComputeVectors_Schur(EPS);
584 SLEPC_INTERN PetscErrorCode EPSComputeVectors_Indefinite(EPS);
585 SLEPC_INTERN PetscErrorCode EPSComputeVectors_Twosided(EPS);
586 SLEPC_INTERN PetscErrorCode EPSComputeVectors_Slice(EPS);
587 SLEPC_INTERN PetscErrorCode EPSComputeResidualNorm_Private(EPS,PetscBool,PetscScalar,PetscScalar,Vec,Vec,Vec*,PetscReal*);
588 SLEPC_INTERN PetscErrorCode EPSComputeRitzVector(EPS,PetscScalar*,PetscScalar*,BV,Vec,Vec);
589 SLEPC_INTERN PetscErrorCode EPSGetStartVector(EPS,PetscInt,PetscBool*);
590 SLEPC_INTERN PetscErrorCode EPSGetLeftStartVector(EPS,PetscInt,PetscBool*);
591 SLEPC_INTERN PetscErrorCode MatEstimateSpectralRange_EPS(Mat,PetscReal*,PetscReal*);
592
593 /* Private functions of the solver implementations */
594
595 SLEPC_INTERN PetscErrorCode EPSDelayedArnoldi(EPS,PetscScalar*,PetscInt,PetscInt,PetscInt*,PetscReal*,PetscBool*);
596 SLEPC_INTERN PetscErrorCode EPSDelayedArnoldi1(EPS,PetscScalar*,PetscInt,PetscInt,PetscInt*,PetscReal*,PetscBool*);
597 SLEPC_INTERN PetscErrorCode EPSKrylovConvergence(EPS,PetscBool,PetscInt,PetscInt,PetscReal,PetscReal,PetscReal,PetscInt*);
598 SLEPC_INTERN PetscErrorCode EPSPseudoLanczos(EPS,PetscReal*,PetscReal*,PetscReal*,PetscInt,PetscInt*,PetscBool*,PetscBool*,PetscReal*,Vec);
599 SLEPC_INTERN PetscErrorCode EPSBuildBalance_Krylov(EPS);
600 SLEPC_INTERN PetscErrorCode EPSSetDefaultST(EPS);
601 SLEPC_INTERN PetscErrorCode EPSSetDefaultST_Precond(EPS);
602 SLEPC_INTERN PetscErrorCode EPSSetDefaultST_GMRES(EPS);
603 SLEPC_INTERN PetscErrorCode EPSSetDefaultST_NoFactor(EPS);
604 SLEPC_INTERN PetscErrorCode EPSSetUpSort_Basic(EPS);
605 SLEPC_INTERN PetscErrorCode EPSSetUpSort_Default(EPS);
606