Line data Source code
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: "ciss"
12 :
13 : Method: Contour Integral Spectral Slicing
14 :
15 : Algorithm:
16 :
17 : Contour integral based on Sakurai-Sugiura method to construct a
18 : subspace, with various eigenpair extractions (Rayleigh-Ritz,
19 : explicit moment).
20 :
21 : Based on code contributed by Y. Maeda, T. Sakurai.
22 :
23 : References:
24 :
25 : [1] T. Sakurai and H. Sugiura, "A projection method for generalized
26 : eigenvalue problems", J. Comput. Appl. Math. 159:119-128, 2003.
27 :
28 : [2] T. Sakurai and H. Tadano, "CIRR: a Rayleigh-Ritz type method with
29 : contour integral for generalized eigenvalue problems", Hokkaido
30 : Math. J. 36:745-757, 2007.
31 : */
32 :
33 : #include <slepc/private/epsimpl.h> /*I "slepceps.h" I*/
34 : #include <slepc/private/slepccontour.h>
35 : #include <slepcblaslapack.h>
36 :
37 : typedef struct {
38 : /* user parameters */
39 : PetscInt N; /* number of integration points (32) */
40 : PetscInt L; /* block size (16) */
41 : PetscInt M; /* moment degree (N/4 = 4) */
42 : PetscReal delta; /* threshold of singular value (1e-12) */
43 : PetscInt L_max; /* maximum number of columns of the source matrix V */
44 : PetscReal spurious_threshold; /* discard spurious eigenpairs */
45 : PetscBool isreal; /* A and B are real */
46 : PetscInt npart; /* number of partitions */
47 : PetscInt refine_inner;
48 : PetscInt refine_blocksize;
49 : EPSCISSQuadRule quad;
50 : EPSCISSExtraction extraction;
51 : PetscBool usest;
52 : /* private data */
53 : SlepcContourData contour;
54 : PetscReal *sigma; /* threshold for numerical rank */
55 : PetscScalar *weight;
56 : PetscScalar *omega;
57 : PetscScalar *pp;
58 : BV V;
59 : BV S;
60 : BV pV;
61 : BV Y;
62 : PetscBool useconj;
63 : PetscBool usest_set; /* whether the user set the usest flag or not */
64 : PetscObjectId rgid;
65 : PetscObjectState rgstate;
66 : } EPS_CISS;
67 :
68 : /*
69 : Set up KSP solvers for every integration point, only called if !ctx->usest
70 : */
71 17 : static PetscErrorCode EPSCISSSetUp(EPS eps,Mat A,Mat B,Mat Pa,Mat Pb)
72 : {
73 17 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
74 17 : SlepcContourData contour;
75 17 : PetscInt i,p_id,nsplit;
76 17 : Mat Amat,Pmat;
77 17 : MatStructure str,strp;
78 :
79 17 : PetscFunctionBegin;
80 17 : if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL));
81 17 : PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()");
82 17 : contour = ctx->contour;
83 17 : PetscCall(STGetMatStructure(eps->st,&str));
84 17 : PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,&strp));
85 389 : for (i=0;i<contour->npoints;i++) {
86 372 : p_id = i*contour->subcomm->n + contour->subcomm->color;
87 372 : PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Amat));
88 372 : if (B) PetscCall(MatAXPY(Amat,-ctx->omega[p_id],B,str));
89 264 : else PetscCall(MatShift(Amat,-ctx->omega[p_id]));
90 372 : if (nsplit) {
91 64 : PetscCall(MatDuplicate(Pa,MAT_COPY_VALUES,&Pmat));
92 64 : if (Pb) PetscCall(MatAXPY(Pmat,-ctx->omega[p_id],Pb,strp));
93 0 : else PetscCall(MatShift(Pmat,-ctx->omega[p_id]));
94 308 : } else Pmat = Amat;
95 372 : PetscCall(EPS_KSPSetOperators(contour->ksp[i],Amat,Amat));
96 372 : PetscCall(MatDestroy(&Amat));
97 372 : if (nsplit) PetscCall(MatDestroy(&Pmat));
98 : }
99 17 : PetscFunctionReturn(PETSC_SUCCESS);
100 : }
101 :
102 : /*
103 : Y_i = (A-z_i B)^{-1}BV for every integration point, Y=[Y_i] is in the context
104 : */
105 26 : static PetscErrorCode EPSCISSSolve(EPS eps,Mat B,BV V,PetscInt L_start,PetscInt L_end)
106 : {
107 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
108 26 : SlepcContourData contour;
109 26 : PetscInt i,p_id;
110 26 : Mat MV,BMV=NULL,MC;
111 26 : KSP ksp;
112 :
113 26 : PetscFunctionBegin;
114 26 : if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL));
115 26 : contour = ctx->contour;
116 26 : PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()");
117 26 : PetscCall(BVSetActiveColumns(V,L_start,L_end));
118 26 : PetscCall(BVGetMat(V,&MV));
119 678 : for (i=0;i<contour->npoints;i++) {
120 652 : p_id = i*contour->subcomm->n + contour->subcomm->color;
121 652 : if (ctx->usest) {
122 280 : PetscCall(STSetShift(eps->st,ctx->omega[p_id]));
123 280 : PetscCall(STGetKSP(eps->st,&ksp));
124 372 : } else ksp = contour->ksp[i];
125 652 : PetscCall(BVSetActiveColumns(ctx->Y,i*ctx->L+L_start,i*ctx->L+L_end));
126 652 : PetscCall(BVGetMat(ctx->Y,&MC));
127 652 : if (B) {
128 324 : if (!i) {
129 13 : PetscCall(MatProductCreate(B,MV,NULL,&BMV));
130 13 : PetscCall(MatProductSetType(BMV,MATPRODUCT_AB));
131 13 : PetscCall(MatProductSetFromOptions(BMV));
132 13 : PetscCall(MatProductSymbolic(BMV));
133 : }
134 324 : PetscCall(MatProductNumeric(BMV));
135 324 : PetscCall(KSPMatSolve(ksp,BMV,MC));
136 328 : } else PetscCall(KSPMatSolve(ksp,MV,MC));
137 652 : PetscCall(BVRestoreMat(ctx->Y,&MC));
138 652 : if (ctx->usest && i<contour->npoints-1) PetscCall(KSPReset(ksp));
139 : }
140 26 : PetscCall(MatDestroy(&BMV));
141 26 : PetscCall(BVRestoreMat(V,&MV));
142 26 : PetscFunctionReturn(PETSC_SUCCESS);
143 : }
144 :
145 52 : static PetscErrorCode rescale_eig(EPS eps,PetscInt nv)
146 : {
147 52 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
148 52 : PetscInt i;
149 52 : PetscScalar center;
150 52 : PetscReal radius,a,b,c,d,rgscale;
151 : #if defined(PETSC_USE_COMPLEX)
152 : PetscReal start_ang,end_ang,vscale,theta;
153 : #endif
154 52 : PetscBool isring,isellipse,isinterval;
155 :
156 52 : PetscFunctionBegin;
157 52 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse));
158 52 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGRING,&isring));
159 52 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGINTERVAL,&isinterval));
160 52 : PetscCall(RGGetScale(eps->rg,&rgscale));
161 52 : if (isinterval) {
162 18 : PetscCall(RGIntervalGetEndpoints(eps->rg,NULL,NULL,&c,&d));
163 18 : if (c==d) {
164 242 : for (i=0;i<nv;i++) {
165 : #if defined(PETSC_USE_COMPLEX)
166 : eps->eigr[i] = PetscRealPart(eps->eigr[i]);
167 : #else
168 224 : eps->eigi[i] = 0;
169 : #endif
170 : }
171 : }
172 : }
173 52 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) {
174 10 : if (isellipse) {
175 4 : PetscCall(RGEllipseGetParameters(eps->rg,¢er,&radius,NULL));
176 28 : for (i=0;i<nv;i++) eps->eigr[i] = rgscale*(center + radius*eps->eigr[i]);
177 6 : } else if (isinterval) {
178 6 : PetscCall(RGIntervalGetEndpoints(eps->rg,&a,&b,&c,&d));
179 6 : if (ctx->quad == EPS_CISS_QUADRULE_CHEBYSHEV) {
180 24 : for (i=0;i<nv;i++) {
181 20 : if (c==d) eps->eigr[i] = ((b-a)*(eps->eigr[i]+1.0)/2.0+a)*rgscale;
182 20 : if (a==b) {
183 : #if defined(PETSC_USE_COMPLEX)
184 : eps->eigr[i] = ((d-c)*(eps->eigr[i]+1.0)/2.0+c)*rgscale*PETSC_i;
185 : #else
186 20 : SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Integration points on a vertical line require complex arithmetic");
187 : #endif
188 : }
189 : }
190 : } else {
191 2 : center = (b+a)/2.0+(d+c)/2.0*PETSC_PI;
192 4 : radius = PetscSqrtReal(PetscPowRealInt((b-a)/2.0,2)+PetscPowRealInt((d-c)/2.0,2));
193 14 : for (i=0;i<nv;i++) eps->eigr[i] = center + radius*eps->eigr[i];
194 : }
195 : } else if (isring) { /* only supported in complex scalars */
196 : #if defined(PETSC_USE_COMPLEX)
197 : PetscCall(RGRingGetParameters(eps->rg,¢er,&radius,&vscale,&start_ang,&end_ang,NULL));
198 : if (ctx->quad == EPS_CISS_QUADRULE_CHEBYSHEV) {
199 : for (i=0;i<nv;i++) {
200 : theta = (start_ang*2.0+(end_ang-start_ang)*(PetscRealPart(eps->eigr[i])+1.0))*PETSC_PI;
201 : eps->eigr[i] = rgscale*center + (rgscale*radius+PetscImaginaryPart(eps->eigr[i]))*PetscCMPLX(PetscCosReal(theta),vscale*PetscSinReal(theta));
202 : }
203 : } else {
204 : for (i=0;i<nv;i++) eps->eigr[i] = rgscale*(center + radius*eps->eigr[i]);
205 : }
206 : #endif
207 52 : }
208 : }
209 52 : PetscFunctionReturn(PETSC_SUCCESS);
210 : }
211 :
212 26 : static PetscErrorCode EPSSetUp_CISS(EPS eps)
213 : {
214 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
215 26 : SlepcContourData contour;
216 26 : PetscBool istrivial,isring,isellipse,isinterval,flg;
217 26 : PetscReal c,d;
218 26 : PetscInt nsplit;
219 26 : PetscRandom rand;
220 26 : PetscObjectId id;
221 26 : PetscObjectState state;
222 26 : Mat A[2],Psplit[2];
223 26 : Vec v0;
224 :
225 26 : PetscFunctionBegin;
226 26 : if (eps->ncv==PETSC_DEFAULT) {
227 24 : eps->ncv = ctx->L_max*ctx->M;
228 24 : if (eps->ncv>eps->n) {
229 15 : eps->ncv = eps->n;
230 15 : ctx->L_max = eps->ncv/ctx->M;
231 15 : PetscCheck(ctx->L_max,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Cannot adjust solver parameters, try setting a smaller value of M (moment size)");
232 : }
233 : } else {
234 2 : PetscCall(EPSSetDimensions_Default(eps,eps->nev,&eps->ncv,&eps->mpd));
235 2 : ctx->L_max = eps->ncv/ctx->M;
236 2 : if (!ctx->L_max) {
237 0 : ctx->L_max = 1;
238 0 : eps->ncv = ctx->L_max*ctx->M;
239 : }
240 : }
241 26 : ctx->L = PetscMin(ctx->L,ctx->L_max);
242 26 : if (eps->max_it==PETSC_DEFAULT) eps->max_it = 5;
243 26 : if (eps->mpd==PETSC_DEFAULT) eps->mpd = eps->ncv;
244 26 : if (!eps->which) eps->which = EPS_ALL;
245 26 : PetscCheck(eps->which==EPS_ALL,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver supports only computing all eigenvalues");
246 26 : EPSCheckUnsupported(eps,EPS_FEATURE_BALANCE | EPS_FEATURE_ARBITRARY | EPS_FEATURE_EXTRACTION | EPS_FEATURE_STOPPING | EPS_FEATURE_TWOSIDED);
247 :
248 : /* check region */
249 26 : PetscCall(RGIsTrivial(eps->rg,&istrivial));
250 26 : PetscCheck(!istrivial,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"CISS requires a nontrivial region, e.g. -rg_type ellipse ...");
251 26 : PetscCall(RGGetComplement(eps->rg,&flg));
252 26 : PetscCheck(!flg,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"A region with complement flag set is not allowed");
253 26 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse));
254 26 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGRING,&isring));
255 26 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGINTERVAL,&isinterval));
256 26 : PetscCheck(isellipse || isring || isinterval,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Currently only implemented for interval, elliptic or ring regions");
257 :
258 : /* if the region has changed, then reset contour data */
259 26 : PetscCall(PetscObjectGetId((PetscObject)eps->rg,&id));
260 26 : PetscCall(PetscObjectStateGet((PetscObject)eps->rg,&state));
261 26 : if (ctx->rgid && (id != ctx->rgid || state != ctx->rgstate)) {
262 0 : PetscCall(SlepcContourDataDestroy(&ctx->contour));
263 0 : PetscCall(PetscInfo(eps,"Resetting the contour data structure due to a change of region\n"));
264 0 : ctx->rgid = id; ctx->rgstate = state;
265 : }
266 :
267 : #if !defined(PETSC_USE_COMPLEX)
268 26 : PetscCheck(!isring,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Ring region only supported for complex scalars");
269 : #endif
270 26 : if (isinterval) {
271 9 : PetscCall(RGIntervalGetEndpoints(eps->rg,NULL,NULL,&c,&d));
272 : #if !defined(PETSC_USE_COMPLEX)
273 9 : PetscCheck(c==d && c==0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"In real scalars, endpoints of the imaginary axis must be both zero");
274 : #endif
275 9 : if (!ctx->quad && c==d) ctx->quad = EPS_CISS_QUADRULE_CHEBYSHEV;
276 : }
277 26 : if (!ctx->quad) ctx->quad = EPS_CISS_QUADRULE_TRAPEZOIDAL;
278 :
279 : /* create contour data structure */
280 26 : if (!ctx->contour) {
281 0 : PetscCall(RGCanUseConjugates(eps->rg,ctx->isreal,&ctx->useconj));
282 0 : PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)eps,&ctx->contour));
283 : }
284 :
285 26 : PetscCall(EPSAllocateSolution(eps,0));
286 26 : PetscCall(BVGetRandomContext(eps->V,&rand)); /* make sure the random context is available when duplicating */
287 26 : if (ctx->weight) PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma));
288 26 : PetscCall(PetscMalloc4(ctx->N,&ctx->weight,ctx->N+1,&ctx->omega,ctx->N,&ctx->pp,ctx->L_max*ctx->M,&ctx->sigma));
289 :
290 : /* allocate basis vectors */
291 26 : PetscCall(BVDestroy(&ctx->S));
292 26 : PetscCall(BVDuplicateResize(eps->V,ctx->L*ctx->M,&ctx->S));
293 26 : PetscCall(BVDestroy(&ctx->V));
294 26 : PetscCall(BVDuplicateResize(eps->V,ctx->L,&ctx->V));
295 :
296 26 : PetscCall(STGetMatrix(eps->st,0,&A[0]));
297 26 : PetscCall(MatIsShell(A[0],&flg));
298 26 : PetscCheck(!flg,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Matrix type shell is not supported in this solver");
299 26 : if (eps->isgeneralized) PetscCall(STGetMatrix(eps->st,1,&A[1]));
300 :
301 26 : if (!ctx->usest_set) ctx->usest = (ctx->npart>1)? PETSC_FALSE: PETSC_TRUE;
302 26 : PetscCheck(!ctx->usest || ctx->npart==1,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"The usest flag is not supported when partitions > 1");
303 :
304 : /* check if a user-defined split preconditioner has been set */
305 26 : PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL));
306 26 : if (nsplit) {
307 4 : PetscCall(STGetSplitPreconditionerTerm(eps->st,0,&Psplit[0]));
308 4 : if (eps->isgeneralized) PetscCall(STGetSplitPreconditionerTerm(eps->st,1,&Psplit[1]));
309 : }
310 :
311 26 : contour = ctx->contour;
312 61 : PetscCall(SlepcContourRedundantMat(contour,eps->isgeneralized?2:1,A,nsplit?Psplit:NULL));
313 26 : if (contour->pA) {
314 8 : PetscCall(BVGetColumn(ctx->V,0,&v0));
315 8 : PetscCall(SlepcContourScatterCreate(contour,v0));
316 8 : PetscCall(BVRestoreColumn(ctx->V,0,&v0));
317 8 : PetscCall(BVDestroy(&ctx->pV));
318 8 : PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->pV));
319 8 : PetscCall(BVSetSizesFromVec(ctx->pV,contour->xsub,eps->n));
320 8 : PetscCall(BVSetFromOptions(ctx->pV));
321 8 : PetscCall(BVResize(ctx->pV,ctx->L,PETSC_FALSE));
322 : }
323 :
324 26 : EPSCheckDefinite(eps);
325 26 : EPSCheckSinvertCondition(eps,ctx->usest," (with the usest flag set)");
326 :
327 26 : PetscCall(BVDestroy(&ctx->Y));
328 26 : if (contour->pA) {
329 8 : PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->Y));
330 8 : PetscCall(BVSetSizesFromVec(ctx->Y,contour->xsub,eps->n));
331 8 : PetscCall(BVSetFromOptions(ctx->Y));
332 8 : PetscCall(BVResize(ctx->Y,contour->npoints*ctx->L,PETSC_FALSE));
333 18 : } else PetscCall(BVDuplicateResize(eps->V,contour->npoints*ctx->L,&ctx->Y));
334 :
335 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(DSSetType(eps->ds,DSGNHEP));
336 21 : else if (eps->isgeneralized) {
337 10 : if (eps->ishermitian && eps->ispositive) PetscCall(DSSetType(eps->ds,DSGHEP));
338 1 : else PetscCall(DSSetType(eps->ds,DSGNHEP));
339 : } else {
340 11 : if (eps->ishermitian) PetscCall(DSSetType(eps->ds,DSHEP));
341 6 : else PetscCall(DSSetType(eps->ds,DSNHEP));
342 : }
343 26 : PetscCall(DSAllocate(eps->ds,eps->ncv));
344 :
345 : #if !defined(PETSC_USE_COMPLEX)
346 26 : PetscCall(EPSSetWorkVecs(eps,3));
347 26 : if (!eps->ishermitian) PetscCall(PetscInfo(eps,"Warning: complex eigenvalues are not calculated exactly without --with-scalar-type=complex in PETSc\n"));
348 : #else
349 : PetscCall(EPSSetWorkVecs(eps,2));
350 : #endif
351 26 : PetscFunctionReturn(PETSC_SUCCESS);
352 : }
353 :
354 26 : static PetscErrorCode EPSSetUpSort_CISS(EPS eps)
355 : {
356 26 : SlepcSC sc;
357 :
358 26 : PetscFunctionBegin;
359 : /* fill sorting criterion context */
360 26 : eps->sc->comparison = SlepcCompareSmallestReal;
361 26 : eps->sc->comparisonctx = NULL;
362 26 : eps->sc->map = NULL;
363 26 : eps->sc->mapobj = NULL;
364 :
365 : /* fill sorting criterion for DS */
366 26 : PetscCall(DSGetSlepcSC(eps->ds,&sc));
367 26 : sc->comparison = SlepcCompareLargestMagnitude;
368 26 : sc->comparisonctx = NULL;
369 26 : sc->map = NULL;
370 26 : sc->mapobj = NULL;
371 26 : PetscFunctionReturn(PETSC_SUCCESS);
372 : }
373 :
374 26 : static PetscErrorCode EPSSolve_CISS(EPS eps)
375 : {
376 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
377 26 : SlepcContourData contour = ctx->contour;
378 26 : Mat A,B,X,M,pA,pB,T,J,Pa=NULL,Pb=NULL;
379 26 : BV V;
380 26 : PetscInt i,j,ld,nmat,L_add=0,nv=0,L_base=ctx->L,inner,nlocal,*inside,nsplit;
381 26 : PetscScalar *Mu,*H0,*H1=NULL,*rr,*temp;
382 26 : PetscReal error,max_error,norm;
383 26 : PetscBool *fl1;
384 26 : Vec si,si1=NULL,w[3];
385 26 : PetscRandom rand;
386 : #if defined(PETSC_USE_COMPLEX)
387 : PetscBool isellipse;
388 : PetscReal est_eig,eta;
389 : #else
390 26 : PetscReal normi;
391 : #endif
392 :
393 26 : PetscFunctionBegin;
394 26 : w[0] = eps->work[0];
395 : #if defined(PETSC_USE_COMPLEX)
396 : w[1] = NULL;
397 : #else
398 26 : w[1] = eps->work[2];
399 : #endif
400 26 : w[2] = eps->work[1];
401 26 : PetscCall(VecGetLocalSize(w[0],&nlocal));
402 26 : PetscCall(DSGetLeadingDimension(eps->ds,&ld));
403 42 : PetscCall(RGComputeQuadrature(eps->rg,ctx->quad==EPS_CISS_QUADRULE_CHEBYSHEV?RG_QUADRULE_CHEBYSHEV:RG_QUADRULE_TRAPEZOIDAL,ctx->N,ctx->omega,ctx->pp,ctx->weight));
404 26 : PetscCall(STGetNumMatrices(eps->st,&nmat));
405 26 : PetscCall(STGetMatrix(eps->st,0,&A));
406 26 : if (nmat>1) PetscCall(STGetMatrix(eps->st,1,&B));
407 13 : else B = NULL;
408 26 : J = (contour->pA && nmat>1)? contour->pA[1]: B;
409 26 : V = contour->pA? ctx->pV: ctx->V;
410 26 : if (!ctx->usest) {
411 17 : T = contour->pA? contour->pA[0]: A;
412 17 : PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL));
413 17 : if (nsplit) {
414 3 : if (contour->pA) {
415 2 : Pa = contour->pP[0];
416 2 : if (nsplit>1) Pb = contour->pP[1];
417 : } else {
418 1 : PetscCall(STGetSplitPreconditionerTerm(eps->st,0,&Pa));
419 1 : if (nsplit>1) PetscCall(STGetSplitPreconditionerTerm(eps->st,1,&Pb));
420 : }
421 : }
422 17 : PetscCall(EPSCISSSetUp(eps,T,J,Pa,Pb));
423 : }
424 26 : PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L));
425 26 : PetscCall(BVSetRandomSign(ctx->V));
426 26 : PetscCall(BVGetRandomContext(ctx->V,&rand));
427 :
428 26 : if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup));
429 26 : PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L));
430 : #if defined(PETSC_USE_COMPLEX)
431 : PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse));
432 : if (isellipse) {
433 : PetscCall(BVTraceQuadrature(ctx->Y,ctx->V,ctx->L,ctx->L,ctx->weight,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj,&est_eig));
434 : PetscCall(PetscInfo(eps,"Estimated eigenvalue count: %f\n",(double)est_eig));
435 : eta = PetscPowReal(10.0,-PetscLog10Real(eps->tol)/ctx->N);
436 : L_add = PetscMax(0,(PetscInt)PetscCeilReal((est_eig*eta)/ctx->M)-ctx->L);
437 : if (L_add>ctx->L_max-ctx->L) {
438 : PetscCall(PetscInfo(eps,"Number of eigenvalues inside the contour path may be too large\n"));
439 : L_add = ctx->L_max-ctx->L;
440 : }
441 : }
442 : #endif
443 26 : if (L_add>0) {
444 : PetscCall(PetscInfo(eps,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by Estimate #Eig\n",ctx->L,ctx->L+L_add));
445 : PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints));
446 : PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add));
447 : PetscCall(BVSetRandomSign(ctx->V));
448 : if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup));
449 : ctx->L += L_add;
450 26 : PetscCall(EPSCISSSolve(eps,J,V,ctx->L-L_add,ctx->L));
451 : }
452 26 : PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0));
453 26 : for (i=0;i<ctx->refine_blocksize;i++) {
454 1 : PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj));
455 1 : PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0));
456 1 : PetscCall(PetscLogEventBegin(EPS_CISS_SVD,eps,0,0,0));
457 1 : PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv));
458 1 : PetscCall(PetscLogEventEnd(EPS_CISS_SVD,eps,0,0,0));
459 1 : if (ctx->sigma[0]<=ctx->delta || nv < ctx->L*ctx->M || ctx->L == ctx->L_max) break;
460 0 : L_add = L_base;
461 0 : if (ctx->L+L_add>ctx->L_max) L_add = ctx->L_max-ctx->L;
462 0 : PetscCall(PetscInfo(eps,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by SVD(H0)\n",ctx->L,ctx->L+L_add));
463 0 : PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints));
464 0 : PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add));
465 0 : PetscCall(BVSetRandomSign(ctx->V));
466 0 : if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup));
467 0 : ctx->L += L_add;
468 0 : PetscCall(EPSCISSSolve(eps,J,V,ctx->L-L_add,ctx->L));
469 0 : if (L_add) {
470 0 : PetscCall(PetscFree2(Mu,H0));
471 0 : PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0));
472 : }
473 : }
474 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(PetscMalloc1(ctx->L*ctx->M*ctx->L*ctx->M,&H1));
475 :
476 52 : while (eps->reason == EPS_CONVERGED_ITERATING) {
477 26 : eps->its++;
478 26 : for (inner=0;inner<=ctx->refine_inner;inner++) {
479 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) {
480 5 : PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj));
481 5 : PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0));
482 5 : PetscCall(PetscLogEventBegin(EPS_CISS_SVD,eps,0,0,0));
483 5 : PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv));
484 5 : PetscCall(PetscLogEventEnd(EPS_CISS_SVD,eps,0,0,0));
485 : break;
486 : } else {
487 21 : PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj));
488 21 : PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L));
489 21 : PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L));
490 21 : PetscCall(BVCopy(ctx->S,ctx->V));
491 21 : PetscCall(BVSVDAndRank(ctx->S,ctx->M,ctx->L,ctx->delta,BV_SVD_METHOD_REFINE,H0,ctx->sigma,&nv));
492 21 : if (ctx->sigma[0]>ctx->delta && nv==ctx->L*ctx->M && inner!=ctx->refine_inner) {
493 0 : if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup));
494 0 : PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L));
495 : } else break;
496 : }
497 : }
498 26 : eps->nconv = 0;
499 26 : if (nv == 0) eps->reason = EPS_CONVERGED_TOL;
500 : else {
501 26 : PetscCall(DSSetDimensions(eps->ds,nv,0,0));
502 26 : PetscCall(DSSetState(eps->ds,DS_STATE_RAW));
503 :
504 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) {
505 5 : PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0));
506 5 : PetscCall(CISS_BlockHankel(Mu,1,ctx->L,ctx->M,H1));
507 5 : PetscCall(DSGetArray(eps->ds,DS_MAT_A,&temp));
508 33 : for (j=0;j<nv;j++) {
509 188 : for (i=0;i<nv;i++) {
510 160 : temp[i+j*ld] = H1[i+j*ctx->L*ctx->M];
511 : }
512 : }
513 5 : PetscCall(DSRestoreArray(eps->ds,DS_MAT_A,&temp));
514 5 : PetscCall(DSGetArray(eps->ds,DS_MAT_B,&temp));
515 33 : for (j=0;j<nv;j++) {
516 188 : for (i=0;i<nv;i++) {
517 160 : temp[i+j*ld] = H0[i+j*ctx->L*ctx->M];
518 : }
519 : }
520 5 : PetscCall(DSRestoreArray(eps->ds,DS_MAT_B,&temp));
521 : } else {
522 21 : PetscCall(BVSetActiveColumns(ctx->S,0,nv));
523 21 : PetscCall(DSGetMat(eps->ds,DS_MAT_A,&pA));
524 21 : PetscCall(MatZeroEntries(pA));
525 21 : PetscCall(BVMatProject(ctx->S,A,ctx->S,pA));
526 21 : PetscCall(DSRestoreMat(eps->ds,DS_MAT_A,&pA));
527 21 : if (B) {
528 10 : PetscCall(DSGetMat(eps->ds,DS_MAT_B,&pB));
529 10 : PetscCall(MatZeroEntries(pB));
530 10 : PetscCall(BVMatProject(ctx->S,B,ctx->S,pB));
531 10 : PetscCall(DSRestoreMat(eps->ds,DS_MAT_B,&pB));
532 : }
533 : }
534 :
535 26 : PetscCall(DSSolve(eps->ds,eps->eigr,eps->eigi));
536 26 : PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi));
537 :
538 26 : PetscCall(PetscMalloc3(nv,&fl1,nv,&inside,nv,&rr));
539 26 : PetscCall(rescale_eig(eps,nv));
540 26 : PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL));
541 26 : PetscCall(DSGetMat(eps->ds,DS_MAT_X,&X));
542 26 : PetscCall(SlepcCISS_isGhost(X,nv,ctx->sigma,ctx->spurious_threshold,fl1));
543 26 : PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&X));
544 26 : PetscCall(RGCheckInside(eps->rg,nv,eps->eigr,eps->eigi,inside));
545 508 : for (i=0;i<nv;i++) {
546 482 : if (fl1[i] && inside[i]>=0) {
547 174 : rr[i] = 1.0;
548 174 : eps->nconv++;
549 308 : } else rr[i] = 0.0;
550 : }
551 26 : PetscCall(DSSort(eps->ds,eps->eigr,eps->eigi,rr,NULL,&eps->nconv));
552 26 : PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi));
553 26 : PetscCall(rescale_eig(eps,nv));
554 26 : PetscCall(PetscFree3(fl1,inside,rr));
555 26 : PetscCall(BVSetActiveColumns(eps->V,0,nv));
556 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) {
557 5 : PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj));
558 5 : PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L));
559 5 : PetscCall(BVCopy(ctx->S,ctx->V));
560 5 : PetscCall(BVSetActiveColumns(ctx->S,0,nv));
561 : }
562 26 : PetscCall(BVCopy(ctx->S,eps->V));
563 :
564 26 : PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL));
565 26 : PetscCall(DSGetMat(eps->ds,DS_MAT_X,&X));
566 26 : PetscCall(BVMultInPlace(ctx->S,X,0,eps->nconv));
567 26 : if (eps->ishermitian) PetscCall(BVMultInPlace(eps->V,X,0,eps->nconv));
568 26 : PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&X));
569 : max_error = 0.0;
570 196 : for (i=0;i<eps->nconv;i++) {
571 170 : PetscCall(BVGetColumn(ctx->S,i,&si));
572 : #if !defined(PETSC_USE_COMPLEX)
573 170 : if (eps->eigi[i]!=0.0) PetscCall(BVGetColumn(ctx->S,i+1,&si1));
574 : #endif
575 170 : PetscCall(EPSComputeResidualNorm_Private(eps,PETSC_FALSE,eps->eigr[i],eps->eigi[i],si,si1,w,&error));
576 170 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { /* vector is not normalized */
577 21 : PetscCall(VecNorm(si,NORM_2,&norm));
578 : #if !defined(PETSC_USE_COMPLEX)
579 21 : if (eps->eigi[i]!=0.0) {
580 0 : PetscCall(VecNorm(si1,NORM_2,&normi));
581 0 : norm = SlepcAbsEigenvalue(norm,normi);
582 : }
583 : #endif
584 21 : error /= norm;
585 : }
586 170 : PetscCall((*eps->converged)(eps,eps->eigr[i],eps->eigi[i],error,&error,eps->convergedctx));
587 170 : PetscCall(BVRestoreColumn(ctx->S,i,&si));
588 : #if !defined(PETSC_USE_COMPLEX)
589 170 : if (eps->eigi[i]!=0.0) {
590 4 : PetscCall(BVRestoreColumn(ctx->S,i+1,&si1));
591 : i++;
592 : }
593 : #endif
594 246 : max_error = PetscMax(max_error,error);
595 : }
596 :
597 26 : if (max_error <= eps->tol) eps->reason = EPS_CONVERGED_TOL;
598 0 : else if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS;
599 : else {
600 0 : if (eps->nconv > ctx->L) nv = eps->nconv;
601 0 : else if (ctx->L > nv) nv = ctx->L;
602 0 : nv = PetscMin(nv,ctx->L*ctx->M);
603 0 : PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nv,ctx->L,NULL,&M));
604 0 : PetscCall(MatSetRandom(M,rand));
605 0 : PetscCall(BVSetActiveColumns(ctx->S,0,nv));
606 0 : PetscCall(BVMultInPlace(ctx->S,M,0,ctx->L));
607 0 : PetscCall(MatDestroy(&M));
608 0 : PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L));
609 0 : PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L));
610 0 : PetscCall(BVCopy(ctx->S,ctx->V));
611 0 : if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup));
612 52 : PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L));
613 : }
614 : }
615 : }
616 26 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(PetscFree(H1));
617 26 : PetscCall(PetscFree2(Mu,H0));
618 26 : PetscFunctionReturn(PETSC_SUCCESS);
619 : }
620 :
621 26 : static PetscErrorCode EPSComputeVectors_CISS(EPS eps)
622 : {
623 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
624 26 : PetscInt n;
625 26 : Mat Z,B=NULL;
626 :
627 26 : PetscFunctionBegin;
628 26 : if (eps->ishermitian) {
629 16 : if (eps->isgeneralized && !eps->ispositive) PetscCall(EPSComputeVectors_Indefinite(eps));
630 16 : else PetscCall(EPSComputeVectors_Hermitian(eps));
631 16 : if (eps->isgeneralized && eps->ispositive && ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) {
632 : /* normalize to have unit B-norm */
633 2 : PetscCall(STGetMatrix(eps->st,1,&B));
634 2 : PetscCall(BVSetMatrix(eps->V,B,PETSC_FALSE));
635 2 : PetscCall(BVNormalize(eps->V,NULL));
636 2 : PetscCall(BVSetMatrix(eps->V,NULL,PETSC_FALSE));
637 : }
638 16 : PetscFunctionReturn(PETSC_SUCCESS);
639 : }
640 10 : PetscCall(DSGetDimensions(eps->ds,&n,NULL,NULL,NULL));
641 10 : PetscCall(BVSetActiveColumns(eps->V,0,n));
642 :
643 : /* right eigenvectors */
644 10 : PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL));
645 :
646 : /* V = V * Z */
647 10 : PetscCall(DSGetMat(eps->ds,DS_MAT_X,&Z));
648 10 : PetscCall(BVMultInPlace(eps->V,Z,0,n));
649 10 : PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&Z));
650 10 : PetscCall(BVSetActiveColumns(eps->V,0,eps->nconv));
651 :
652 : /* normalize */
653 10 : if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(BVNormalize(eps->V,NULL));
654 10 : PetscFunctionReturn(PETSC_SUCCESS);
655 : }
656 :
657 13 : static PetscErrorCode EPSCISSSetSizes_CISS(EPS eps,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats)
658 : {
659 13 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
660 13 : PetscInt oN,oL,oM,oLmax,onpart;
661 13 : PetscMPIInt size;
662 :
663 13 : PetscFunctionBegin;
664 13 : oN = ctx->N;
665 13 : if (ip == PETSC_DECIDE || ip == PETSC_DEFAULT) {
666 0 : if (ctx->N!=32) { ctx->N =32; ctx->M = ctx->N/4; }
667 : } else {
668 13 : PetscCheck(ip>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be > 0");
669 13 : PetscCheck(ip%2==0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be an even number");
670 13 : if (ctx->N!=ip) { ctx->N = ip; ctx->M = ctx->N/4; }
671 : }
672 13 : oL = ctx->L;
673 13 : if (bs == PETSC_DECIDE || bs == PETSC_DEFAULT) {
674 0 : ctx->L = 16;
675 : } else {
676 13 : PetscCheck(bs>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The bs argument must be > 0");
677 13 : ctx->L = bs;
678 : }
679 13 : oM = ctx->M;
680 13 : if (ms == PETSC_DECIDE || ms == PETSC_DEFAULT) {
681 0 : ctx->M = ctx->N/4;
682 : } else {
683 13 : PetscCheck(ms>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be > 0");
684 13 : PetscCheck(ms<=ctx->N,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be less than or equal to the number of integration points");
685 13 : ctx->M = ms;
686 : }
687 13 : onpart = ctx->npart;
688 13 : if (npart == PETSC_DECIDE || npart == PETSC_DEFAULT) {
689 0 : ctx->npart = 1;
690 : } else {
691 13 : PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)eps),&size));
692 13 : PetscCheck(npart>0 && npart<=size,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of npart");
693 13 : ctx->npart = npart;
694 : }
695 13 : oLmax = ctx->L_max;
696 13 : if (bsmax == PETSC_DECIDE || bsmax == PETSC_DEFAULT) {
697 0 : ctx->L_max = 64;
698 : } else {
699 13 : PetscCheck(bsmax>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The bsmax argument must be > 0");
700 13 : ctx->L_max = PetscMax(bsmax,ctx->L);
701 : }
702 13 : if (onpart != ctx->npart || oN != ctx->N || realmats != ctx->isreal) {
703 12 : PetscCall(SlepcContourDataDestroy(&ctx->contour));
704 12 : PetscCall(PetscInfo(eps,"Resetting the contour data structure due to a change of parameters\n"));
705 12 : eps->state = EPS_STATE_INITIAL;
706 : }
707 13 : ctx->isreal = realmats;
708 13 : if (oL != ctx->L || oM != ctx->M || oLmax != ctx->L_max) eps->state = EPS_STATE_INITIAL;
709 13 : PetscFunctionReturn(PETSC_SUCCESS);
710 : }
711 :
712 : /*@
713 : EPSCISSSetSizes - Sets the values of various size parameters in the CISS solver.
714 :
715 : Logically Collective
716 :
717 : Input Parameters:
718 : + eps - the eigenproblem solver context
719 : . ip - number of integration points
720 : . bs - block size
721 : . ms - moment size
722 : . npart - number of partitions when splitting the communicator
723 : . bsmax - max block size
724 : - realmats - A and B are real
725 :
726 : Options Database Keys:
727 : + -eps_ciss_integration_points - Sets the number of integration points
728 : . -eps_ciss_blocksize - Sets the block size
729 : . -eps_ciss_moments - Sets the moment size
730 : . -eps_ciss_partitions - Sets the number of partitions
731 : . -eps_ciss_maxblocksize - Sets the maximum block size
732 : - -eps_ciss_realmats - A and B are real
733 :
734 : Note:
735 : The default number of partitions is 1. This means the internal KSP object is shared
736 : among all processes of the EPS communicator. Otherwise, the communicator is split
737 : into npart communicators, so that npart KSP solves proceed simultaneously.
738 :
739 : Level: advanced
740 :
741 : .seealso: EPSCISSGetSizes()
742 : @*/
743 13 : PetscErrorCode EPSCISSSetSizes(EPS eps,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats)
744 : {
745 13 : PetscFunctionBegin;
746 13 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
747 52 : PetscValidLogicalCollectiveInt(eps,ip,2);
748 52 : PetscValidLogicalCollectiveInt(eps,bs,3);
749 52 : PetscValidLogicalCollectiveInt(eps,ms,4);
750 52 : PetscValidLogicalCollectiveInt(eps,npart,5);
751 52 : PetscValidLogicalCollectiveInt(eps,bsmax,6);
752 52 : PetscValidLogicalCollectiveBool(eps,realmats,7);
753 13 : PetscTryMethod(eps,"EPSCISSSetSizes_C",(EPS,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscBool),(eps,ip,bs,ms,npart,bsmax,realmats));
754 13 : PetscFunctionReturn(PETSC_SUCCESS);
755 : }
756 :
757 26 : static PetscErrorCode EPSCISSGetSizes_CISS(EPS eps,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats)
758 : {
759 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
760 :
761 26 : PetscFunctionBegin;
762 26 : if (ip) *ip = ctx->N;
763 26 : if (bs) *bs = ctx->L;
764 26 : if (ms) *ms = ctx->M;
765 26 : if (npart) *npart = ctx->npart;
766 26 : if (bsmax) *bsmax = ctx->L_max;
767 26 : if (realmats) *realmats = ctx->isreal;
768 26 : PetscFunctionReturn(PETSC_SUCCESS);
769 : }
770 :
771 : /*@
772 : EPSCISSGetSizes - Gets the values of various size parameters in the CISS solver.
773 :
774 : Not Collective
775 :
776 : Input Parameter:
777 : . eps - the eigenproblem solver context
778 :
779 : Output Parameters:
780 : + ip - number of integration points
781 : . bs - block size
782 : . ms - moment size
783 : . npart - number of partitions when splitting the communicator
784 : . bsmax - max block size
785 : - realmats - A and B are real
786 :
787 : Level: advanced
788 :
789 : .seealso: EPSCISSSetSizes()
790 : @*/
791 26 : PetscErrorCode EPSCISSGetSizes(EPS eps,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats)
792 : {
793 26 : PetscFunctionBegin;
794 26 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
795 26 : PetscUseMethod(eps,"EPSCISSGetSizes_C",(EPS,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscBool*),(eps,ip,bs,ms,npart,bsmax,realmats));
796 26 : PetscFunctionReturn(PETSC_SUCCESS);
797 : }
798 :
799 2 : static PetscErrorCode EPSCISSSetThreshold_CISS(EPS eps,PetscReal delta,PetscReal spur)
800 : {
801 2 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
802 :
803 2 : PetscFunctionBegin;
804 2 : if (delta == (PetscReal)PETSC_DEFAULT) {
805 0 : ctx->delta = SLEPC_DEFAULT_TOL*1e-4;
806 : } else {
807 2 : PetscCheck(delta>0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The delta argument must be > 0.0");
808 2 : ctx->delta = delta;
809 : }
810 2 : if (spur == (PetscReal)PETSC_DEFAULT) {
811 0 : ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL);
812 : } else {
813 2 : PetscCheck(spur>0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The spurious threshold argument must be > 0.0");
814 2 : ctx->spurious_threshold = spur;
815 : }
816 2 : PetscFunctionReturn(PETSC_SUCCESS);
817 : }
818 :
819 : /*@
820 : EPSCISSSetThreshold - Sets the values of various threshold parameters in
821 : the CISS solver.
822 :
823 : Logically Collective
824 :
825 : Input Parameters:
826 : + eps - the eigenproblem solver context
827 : . delta - threshold for numerical rank
828 : - spur - spurious threshold (to discard spurious eigenpairs)
829 :
830 : Options Database Keys:
831 : + -eps_ciss_delta - Sets the delta
832 : - -eps_ciss_spurious_threshold - Sets the spurious threshold
833 :
834 : Level: advanced
835 :
836 : .seealso: EPSCISSGetThreshold()
837 : @*/
838 2 : PetscErrorCode EPSCISSSetThreshold(EPS eps,PetscReal delta,PetscReal spur)
839 : {
840 2 : PetscFunctionBegin;
841 2 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
842 8 : PetscValidLogicalCollectiveReal(eps,delta,2);
843 8 : PetscValidLogicalCollectiveReal(eps,spur,3);
844 2 : PetscTryMethod(eps,"EPSCISSSetThreshold_C",(EPS,PetscReal,PetscReal),(eps,delta,spur));
845 2 : PetscFunctionReturn(PETSC_SUCCESS);
846 : }
847 :
848 26 : static PetscErrorCode EPSCISSGetThreshold_CISS(EPS eps,PetscReal *delta,PetscReal *spur)
849 : {
850 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
851 :
852 26 : PetscFunctionBegin;
853 26 : if (delta) *delta = ctx->delta;
854 26 : if (spur) *spur = ctx->spurious_threshold;
855 26 : PetscFunctionReturn(PETSC_SUCCESS);
856 : }
857 :
858 : /*@
859 : EPSCISSGetThreshold - Gets the values of various threshold parameters
860 : in the CISS solver.
861 :
862 : Not Collective
863 :
864 : Input Parameter:
865 : . eps - the eigenproblem solver context
866 :
867 : Output Parameters:
868 : + delta - threshold for numerical rank
869 : - spur - spurious threshold (to discard spurious eigenpairs)
870 :
871 : Level: advanced
872 :
873 : .seealso: EPSCISSSetThreshold()
874 : @*/
875 26 : PetscErrorCode EPSCISSGetThreshold(EPS eps,PetscReal *delta,PetscReal *spur)
876 : {
877 26 : PetscFunctionBegin;
878 26 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
879 26 : PetscUseMethod(eps,"EPSCISSGetThreshold_C",(EPS,PetscReal*,PetscReal*),(eps,delta,spur));
880 26 : PetscFunctionReturn(PETSC_SUCCESS);
881 : }
882 :
883 1 : static PetscErrorCode EPSCISSSetRefinement_CISS(EPS eps,PetscInt inner,PetscInt blsize)
884 : {
885 1 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
886 :
887 1 : PetscFunctionBegin;
888 1 : if (inner == PETSC_DEFAULT) {
889 0 : ctx->refine_inner = 0;
890 : } else {
891 1 : PetscCheck(inner>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The refine inner argument must be >= 0");
892 1 : ctx->refine_inner = inner;
893 : }
894 1 : if (blsize == PETSC_DEFAULT) {
895 0 : ctx->refine_blocksize = 0;
896 : } else {
897 1 : PetscCheck(blsize>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The refine blocksize argument must be >= 0");
898 1 : ctx->refine_blocksize = blsize;
899 : }
900 1 : PetscFunctionReturn(PETSC_SUCCESS);
901 : }
902 :
903 : /*@
904 : EPSCISSSetRefinement - Sets the values of various refinement parameters
905 : in the CISS solver.
906 :
907 : Logically Collective
908 :
909 : Input Parameters:
910 : + eps - the eigenproblem solver context
911 : . inner - number of iterative refinement iterations (inner loop)
912 : - blsize - number of iterative refinement iterations (blocksize loop)
913 :
914 : Options Database Keys:
915 : + -eps_ciss_refine_inner - Sets number of inner iterations
916 : - -eps_ciss_refine_blocksize - Sets number of blocksize iterations
917 :
918 : Level: advanced
919 :
920 : .seealso: EPSCISSGetRefinement()
921 : @*/
922 1 : PetscErrorCode EPSCISSSetRefinement(EPS eps,PetscInt inner,PetscInt blsize)
923 : {
924 1 : PetscFunctionBegin;
925 1 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
926 4 : PetscValidLogicalCollectiveInt(eps,inner,2);
927 4 : PetscValidLogicalCollectiveInt(eps,blsize,3);
928 1 : PetscTryMethod(eps,"EPSCISSSetRefinement_C",(EPS,PetscInt,PetscInt),(eps,inner,blsize));
929 1 : PetscFunctionReturn(PETSC_SUCCESS);
930 : }
931 :
932 26 : static PetscErrorCode EPSCISSGetRefinement_CISS(EPS eps,PetscInt *inner,PetscInt *blsize)
933 : {
934 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
935 :
936 26 : PetscFunctionBegin;
937 26 : if (inner) *inner = ctx->refine_inner;
938 26 : if (blsize) *blsize = ctx->refine_blocksize;
939 26 : PetscFunctionReturn(PETSC_SUCCESS);
940 : }
941 :
942 : /*@
943 : EPSCISSGetRefinement - Gets the values of various refinement parameters
944 : in the CISS solver.
945 :
946 : Not Collective
947 :
948 : Input Parameter:
949 : . eps - the eigenproblem solver context
950 :
951 : Output Parameters:
952 : + inner - number of iterative refinement iterations (inner loop)
953 : - blsize - number of iterative refinement iterations (blocksize loop)
954 :
955 : Level: advanced
956 :
957 : .seealso: EPSCISSSetRefinement()
958 : @*/
959 26 : PetscErrorCode EPSCISSGetRefinement(EPS eps, PetscInt *inner, PetscInt *blsize)
960 : {
961 26 : PetscFunctionBegin;
962 26 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
963 26 : PetscUseMethod(eps,"EPSCISSGetRefinement_C",(EPS,PetscInt*,PetscInt*),(eps,inner,blsize));
964 26 : PetscFunctionReturn(PETSC_SUCCESS);
965 : }
966 :
967 10 : static PetscErrorCode EPSCISSSetUseST_CISS(EPS eps,PetscBool usest)
968 : {
969 10 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
970 :
971 10 : PetscFunctionBegin;
972 10 : ctx->usest = usest;
973 10 : ctx->usest_set = PETSC_TRUE;
974 10 : eps->state = EPS_STATE_INITIAL;
975 10 : PetscFunctionReturn(PETSC_SUCCESS);
976 : }
977 :
978 : /*@
979 : EPSCISSSetUseST - Sets a flag indicating that the CISS solver will
980 : use the ST object for the linear solves.
981 :
982 : Logically Collective
983 :
984 : Input Parameters:
985 : + eps - the eigenproblem solver context
986 : - usest - boolean flag to use the ST object or not
987 :
988 : Options Database Keys:
989 : . -eps_ciss_usest <bool> - whether the ST object will be used or not
990 :
991 : Level: advanced
992 :
993 : .seealso: EPSCISSGetUseST()
994 : @*/
995 10 : PetscErrorCode EPSCISSSetUseST(EPS eps,PetscBool usest)
996 : {
997 10 : PetscFunctionBegin;
998 10 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
999 40 : PetscValidLogicalCollectiveBool(eps,usest,2);
1000 10 : PetscTryMethod(eps,"EPSCISSSetUseST_C",(EPS,PetscBool),(eps,usest));
1001 10 : PetscFunctionReturn(PETSC_SUCCESS);
1002 : }
1003 :
1004 26 : static PetscErrorCode EPSCISSGetUseST_CISS(EPS eps,PetscBool *usest)
1005 : {
1006 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1007 :
1008 26 : PetscFunctionBegin;
1009 26 : *usest = ctx->usest;
1010 26 : PetscFunctionReturn(PETSC_SUCCESS);
1011 : }
1012 :
1013 : /*@
1014 : EPSCISSGetUseST - Gets the flag for using the ST object
1015 : in the CISS solver.
1016 :
1017 : Not Collective
1018 :
1019 : Input Parameter:
1020 : . eps - the eigenproblem solver context
1021 :
1022 : Output Parameters:
1023 : . usest - boolean flag indicating if the ST object is being used
1024 :
1025 : Level: advanced
1026 :
1027 : .seealso: EPSCISSSetUseST()
1028 : @*/
1029 26 : PetscErrorCode EPSCISSGetUseST(EPS eps,PetscBool *usest)
1030 : {
1031 26 : PetscFunctionBegin;
1032 26 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1033 26 : PetscAssertPointer(usest,2);
1034 26 : PetscUseMethod(eps,"EPSCISSGetUseST_C",(EPS,PetscBool*),(eps,usest));
1035 26 : PetscFunctionReturn(PETSC_SUCCESS);
1036 : }
1037 :
1038 5 : static PetscErrorCode EPSCISSSetQuadRule_CISS(EPS eps,EPSCISSQuadRule quad)
1039 : {
1040 5 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1041 :
1042 5 : PetscFunctionBegin;
1043 5 : if (ctx->quad != quad) {
1044 5 : ctx->quad = quad;
1045 5 : eps->state = EPS_STATE_INITIAL;
1046 : }
1047 5 : PetscFunctionReturn(PETSC_SUCCESS);
1048 : }
1049 :
1050 : /*@
1051 : EPSCISSSetQuadRule - Sets the quadrature rule used in the CISS solver.
1052 :
1053 : Logically Collective
1054 :
1055 : Input Parameters:
1056 : + eps - the eigenproblem solver context
1057 : - quad - the quadrature rule
1058 :
1059 : Options Database Key:
1060 : . -eps_ciss_quadrule - Sets the quadrature rule (either 'trapezoidal' or
1061 : 'chebyshev')
1062 :
1063 : Notes:
1064 : By default, the trapezoidal rule is used (EPS_CISS_QUADRULE_TRAPEZOIDAL).
1065 :
1066 : If the 'chebyshev' option is specified (EPS_CISS_QUADRULE_CHEBYSHEV), then
1067 : Chebyshev points are used as quadrature points.
1068 :
1069 : Level: advanced
1070 :
1071 : .seealso: EPSCISSGetQuadRule(), EPSCISSQuadRule
1072 : @*/
1073 5 : PetscErrorCode EPSCISSSetQuadRule(EPS eps,EPSCISSQuadRule quad)
1074 : {
1075 5 : PetscFunctionBegin;
1076 5 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1077 20 : PetscValidLogicalCollectiveEnum(eps,quad,2);
1078 5 : PetscTryMethod(eps,"EPSCISSSetQuadRule_C",(EPS,EPSCISSQuadRule),(eps,quad));
1079 5 : PetscFunctionReturn(PETSC_SUCCESS);
1080 : }
1081 :
1082 1 : static PetscErrorCode EPSCISSGetQuadRule_CISS(EPS eps,EPSCISSQuadRule *quad)
1083 : {
1084 1 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1085 :
1086 1 : PetscFunctionBegin;
1087 1 : *quad = ctx->quad;
1088 1 : PetscFunctionReturn(PETSC_SUCCESS);
1089 : }
1090 :
1091 : /*@
1092 : EPSCISSGetQuadRule - Gets the quadrature rule used in the CISS solver.
1093 :
1094 : Not Collective
1095 :
1096 : Input Parameter:
1097 : . eps - the eigenproblem solver context
1098 :
1099 : Output Parameters:
1100 : . quad - quadrature rule
1101 :
1102 : Level: advanced
1103 :
1104 : .seealso: EPSCISSSetQuadRule() EPSCISSQuadRule
1105 : @*/
1106 1 : PetscErrorCode EPSCISSGetQuadRule(EPS eps,EPSCISSQuadRule *quad)
1107 : {
1108 1 : PetscFunctionBegin;
1109 1 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1110 1 : PetscAssertPointer(quad,2);
1111 1 : PetscUseMethod(eps,"EPSCISSGetQuadRule_C",(EPS,EPSCISSQuadRule*),(eps,quad));
1112 1 : PetscFunctionReturn(PETSC_SUCCESS);
1113 : }
1114 :
1115 6 : static PetscErrorCode EPSCISSSetExtraction_CISS(EPS eps,EPSCISSExtraction extraction)
1116 : {
1117 6 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1118 :
1119 6 : PetscFunctionBegin;
1120 6 : if (ctx->extraction != extraction) {
1121 5 : ctx->extraction = extraction;
1122 5 : eps->state = EPS_STATE_INITIAL;
1123 : }
1124 6 : PetscFunctionReturn(PETSC_SUCCESS);
1125 : }
1126 :
1127 : /*@
1128 : EPSCISSSetExtraction - Sets the extraction technique used in the CISS solver.
1129 :
1130 : Logically Collective
1131 :
1132 : Input Parameters:
1133 : + eps - the eigenproblem solver context
1134 : - extraction - the extraction technique
1135 :
1136 : Options Database Key:
1137 : . -eps_ciss_extraction - Sets the extraction technique (either 'ritz' or
1138 : 'hankel')
1139 :
1140 : Notes:
1141 : By default, the Rayleigh-Ritz extraction is used (EPS_CISS_EXTRACTION_RITZ).
1142 :
1143 : If the 'hankel' option is specified (EPS_CISS_EXTRACTION_HANKEL), then
1144 : the Block Hankel method is used for extracting eigenpairs.
1145 :
1146 : Level: advanced
1147 :
1148 : .seealso: EPSCISSGetExtraction(), EPSCISSExtraction
1149 : @*/
1150 6 : PetscErrorCode EPSCISSSetExtraction(EPS eps,EPSCISSExtraction extraction)
1151 : {
1152 6 : PetscFunctionBegin;
1153 6 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1154 24 : PetscValidLogicalCollectiveEnum(eps,extraction,2);
1155 6 : PetscTryMethod(eps,"EPSCISSSetExtraction_C",(EPS,EPSCISSExtraction),(eps,extraction));
1156 6 : PetscFunctionReturn(PETSC_SUCCESS);
1157 : }
1158 :
1159 1 : static PetscErrorCode EPSCISSGetExtraction_CISS(EPS eps,EPSCISSExtraction *extraction)
1160 : {
1161 1 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1162 :
1163 1 : PetscFunctionBegin;
1164 1 : *extraction = ctx->extraction;
1165 1 : PetscFunctionReturn(PETSC_SUCCESS);
1166 : }
1167 :
1168 : /*@
1169 : EPSCISSGetExtraction - Gets the extraction technique used in the CISS solver.
1170 :
1171 : Not Collective
1172 :
1173 : Input Parameter:
1174 : . eps - the eigenproblem solver context
1175 :
1176 : Output Parameters:
1177 : . extraction - extraction technique
1178 :
1179 : Level: advanced
1180 :
1181 : .seealso: EPSCISSSetExtraction() EPSCISSExtraction
1182 : @*/
1183 1 : PetscErrorCode EPSCISSGetExtraction(EPS eps,EPSCISSExtraction *extraction)
1184 : {
1185 1 : PetscFunctionBegin;
1186 1 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1187 1 : PetscAssertPointer(extraction,2);
1188 1 : PetscUseMethod(eps,"EPSCISSGetExtraction_C",(EPS,EPSCISSExtraction*),(eps,extraction));
1189 1 : PetscFunctionReturn(PETSC_SUCCESS);
1190 : }
1191 :
1192 26 : static PetscErrorCode EPSCISSGetKSPs_CISS(EPS eps,PetscInt *nsolve,KSP **ksp)
1193 : {
1194 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1195 26 : SlepcContourData contour;
1196 26 : PetscInt i,nsplit;
1197 26 : PC pc;
1198 26 : MPI_Comm child;
1199 :
1200 26 : PetscFunctionBegin;
1201 26 : if (!ctx->contour) { /* initialize contour data structure first */
1202 26 : PetscCall(RGCanUseConjugates(eps->rg,ctx->isreal,&ctx->useconj));
1203 26 : PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)eps,&ctx->contour));
1204 : }
1205 26 : contour = ctx->contour;
1206 26 : if (!contour->ksp) {
1207 26 : PetscCall(PetscMalloc1(contour->npoints,&contour->ksp));
1208 26 : PetscCall(EPSGetST(eps,&eps->st));
1209 26 : PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL));
1210 26 : PetscCall(PetscSubcommGetChild(contour->subcomm,&child));
1211 678 : for (i=0;i<contour->npoints;i++) {
1212 652 : PetscCall(KSPCreate(child,&contour->ksp[i]));
1213 652 : PetscCall(PetscObjectIncrementTabLevel((PetscObject)contour->ksp[i],(PetscObject)eps,1));
1214 652 : PetscCall(KSPSetOptionsPrefix(contour->ksp[i],((PetscObject)eps)->prefix));
1215 652 : PetscCall(KSPAppendOptionsPrefix(contour->ksp[i],"eps_ciss_"));
1216 652 : PetscCall(PetscObjectSetOptions((PetscObject)contour->ksp[i],((PetscObject)eps)->options));
1217 652 : PetscCall(KSPSetErrorIfNotConverged(contour->ksp[i],PETSC_TRUE));
1218 908 : PetscCall(KSPSetTolerances(contour->ksp[i],SlepcDefaultTol(eps->tol),PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT));
1219 652 : PetscCall(KSPGetPC(contour->ksp[i],&pc));
1220 652 : if (nsplit) {
1221 96 : PetscCall(KSPSetType(contour->ksp[i],KSPBCGS));
1222 96 : PetscCall(PCSetType(pc,PCBJACOBI));
1223 : } else {
1224 556 : PetscCall(KSPSetType(contour->ksp[i],KSPPREONLY));
1225 652 : PetscCall(PCSetType(pc,PCLU));
1226 : }
1227 : }
1228 : }
1229 26 : if (nsolve) *nsolve = contour->npoints;
1230 26 : if (ksp) *ksp = contour->ksp;
1231 26 : PetscFunctionReturn(PETSC_SUCCESS);
1232 : }
1233 :
1234 : /*@C
1235 : EPSCISSGetKSPs - Retrieve the array of linear solver objects associated with
1236 : the CISS solver.
1237 :
1238 : Not Collective
1239 :
1240 : Input Parameter:
1241 : . eps - the eigenproblem solver solver
1242 :
1243 : Output Parameters:
1244 : + nsolve - number of solver objects
1245 : - ksp - array of linear solver object
1246 :
1247 : Notes:
1248 : The number of KSP solvers is equal to the number of integration points divided by
1249 : the number of partitions. This value is halved in the case of real matrices with
1250 : a region centered at the real axis.
1251 :
1252 : Level: advanced
1253 :
1254 : .seealso: EPSCISSSetSizes()
1255 : @*/
1256 26 : PetscErrorCode EPSCISSGetKSPs(EPS eps,PetscInt *nsolve,KSP **ksp)
1257 : {
1258 26 : PetscFunctionBegin;
1259 26 : PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
1260 26 : PetscUseMethod(eps,"EPSCISSGetKSPs_C",(EPS,PetscInt*,KSP**),(eps,nsolve,ksp));
1261 26 : PetscFunctionReturn(PETSC_SUCCESS);
1262 : }
1263 :
1264 26 : static PetscErrorCode EPSReset_CISS(EPS eps)
1265 : {
1266 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1267 :
1268 26 : PetscFunctionBegin;
1269 26 : PetscCall(BVDestroy(&ctx->S));
1270 26 : PetscCall(BVDestroy(&ctx->V));
1271 26 : PetscCall(BVDestroy(&ctx->Y));
1272 26 : if (!ctx->usest) PetscCall(SlepcContourDataReset(ctx->contour));
1273 26 : PetscCall(BVDestroy(&ctx->pV));
1274 26 : PetscFunctionReturn(PETSC_SUCCESS);
1275 : }
1276 :
1277 26 : static PetscErrorCode EPSSetFromOptions_CISS(EPS eps,PetscOptionItems *PetscOptionsObject)
1278 : {
1279 26 : PetscReal r3,r4;
1280 26 : PetscInt i,i1,i2,i3,i4,i5,i6,i7;
1281 26 : PetscBool b1,b2,flg,flg2,flg3,flg4,flg5,flg6;
1282 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1283 26 : EPSCISSQuadRule quad;
1284 26 : EPSCISSExtraction extraction;
1285 :
1286 26 : PetscFunctionBegin;
1287 26 : PetscOptionsHeadBegin(PetscOptionsObject,"EPS CISS Options");
1288 :
1289 26 : PetscCall(EPSCISSGetSizes(eps,&i1,&i2,&i3,&i4,&i5,&b1));
1290 26 : PetscCall(PetscOptionsInt("-eps_ciss_integration_points","Number of integration points","EPSCISSSetSizes",i1,&i1,&flg));
1291 26 : PetscCall(PetscOptionsInt("-eps_ciss_blocksize","Block size","EPSCISSSetSizes",i2,&i2,&flg2));
1292 26 : PetscCall(PetscOptionsInt("-eps_ciss_moments","Moment size","EPSCISSSetSizes",i3,&i3,&flg3));
1293 26 : PetscCall(PetscOptionsInt("-eps_ciss_partitions","Number of partitions","EPSCISSSetSizes",i4,&i4,&flg4));
1294 26 : PetscCall(PetscOptionsInt("-eps_ciss_maxblocksize","Maximum block size","EPSCISSSetSizes",i5,&i5,&flg5));
1295 26 : PetscCall(PetscOptionsBool("-eps_ciss_realmats","True if A and B are real","EPSCISSSetSizes",b1,&b1,&flg6));
1296 26 : if (flg || flg2 || flg3 || flg4 || flg5 || flg6) PetscCall(EPSCISSSetSizes(eps,i1,i2,i3,i4,i5,b1));
1297 :
1298 26 : PetscCall(EPSCISSGetThreshold(eps,&r3,&r4));
1299 26 : PetscCall(PetscOptionsReal("-eps_ciss_delta","Threshold for numerical rank","EPSCISSSetThreshold",r3,&r3,&flg));
1300 26 : PetscCall(PetscOptionsReal("-eps_ciss_spurious_threshold","Threshold for the spurious eigenpairs","EPSCISSSetThreshold",r4,&r4,&flg2));
1301 26 : if (flg || flg2) PetscCall(EPSCISSSetThreshold(eps,r3,r4));
1302 :
1303 26 : PetscCall(EPSCISSGetRefinement(eps,&i6,&i7));
1304 26 : PetscCall(PetscOptionsInt("-eps_ciss_refine_inner","Number of inner iterative refinement iterations","EPSCISSSetRefinement",i6,&i6,&flg));
1305 26 : PetscCall(PetscOptionsInt("-eps_ciss_refine_blocksize","Number of blocksize iterative refinement iterations","EPSCISSSetRefinement",i7,&i7,&flg2));
1306 26 : if (flg || flg2) PetscCall(EPSCISSSetRefinement(eps,i6,i7));
1307 :
1308 26 : PetscCall(EPSCISSGetUseST(eps,&b2));
1309 26 : PetscCall(PetscOptionsBool("-eps_ciss_usest","Use ST for linear solves","EPSCISSSetUseST",b2,&b2,&flg));
1310 26 : if (flg) PetscCall(EPSCISSSetUseST(eps,b2));
1311 :
1312 26 : PetscCall(PetscOptionsEnum("-eps_ciss_quadrule","Quadrature rule","EPSCISSSetQuadRule",EPSCISSQuadRules,(PetscEnum)ctx->quad,(PetscEnum*)&quad,&flg));
1313 26 : if (flg) PetscCall(EPSCISSSetQuadRule(eps,quad));
1314 :
1315 26 : PetscCall(PetscOptionsEnum("-eps_ciss_extraction","Extraction technique","EPSCISSSetExtraction",EPSCISSExtractions,(PetscEnum)ctx->extraction,(PetscEnum*)&extraction,&flg));
1316 26 : if (flg) PetscCall(EPSCISSSetExtraction(eps,extraction));
1317 :
1318 26 : PetscOptionsHeadEnd();
1319 :
1320 26 : if (!eps->rg) PetscCall(EPSGetRG(eps,&eps->rg));
1321 26 : PetscCall(RGSetFromOptions(eps->rg)); /* this is necessary here to set useconj */
1322 26 : if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL));
1323 26 : PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()");
1324 678 : for (i=0;i<ctx->contour->npoints;i++) PetscCall(KSPSetFromOptions(ctx->contour->ksp[i]));
1325 26 : PetscCall(PetscSubcommSetFromOptions(ctx->contour->subcomm));
1326 26 : PetscFunctionReturn(PETSC_SUCCESS);
1327 : }
1328 :
1329 26 : static PetscErrorCode EPSDestroy_CISS(EPS eps)
1330 : {
1331 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1332 :
1333 26 : PetscFunctionBegin;
1334 26 : PetscCall(SlepcContourDataDestroy(&ctx->contour));
1335 26 : PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma));
1336 26 : PetscCall(PetscFree(eps->data));
1337 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetSizes_C",NULL));
1338 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetSizes_C",NULL));
1339 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetThreshold_C",NULL));
1340 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetThreshold_C",NULL));
1341 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetRefinement_C",NULL));
1342 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetRefinement_C",NULL));
1343 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetUseST_C",NULL));
1344 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetUseST_C",NULL));
1345 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetQuadRule_C",NULL));
1346 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetQuadRule_C",NULL));
1347 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetExtraction_C",NULL));
1348 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetExtraction_C",NULL));
1349 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetKSPs_C",NULL));
1350 26 : PetscFunctionReturn(PETSC_SUCCESS);
1351 : }
1352 :
1353 0 : static PetscErrorCode EPSView_CISS(EPS eps,PetscViewer viewer)
1354 : {
1355 0 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1356 0 : PetscBool isascii;
1357 0 : PetscViewer sviewer;
1358 :
1359 0 : PetscFunctionBegin;
1360 0 : PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
1361 0 : if (isascii) {
1362 0 : PetscCall(PetscViewerASCIIPrintf(viewer," sizes { integration points: %" PetscInt_FMT ", block size: %" PetscInt_FMT ", moment size: %" PetscInt_FMT ", partitions: %" PetscInt_FMT ", maximum block size: %" PetscInt_FMT " }\n",ctx->N,ctx->L,ctx->M,ctx->npart,ctx->L_max));
1363 0 : if (ctx->isreal) PetscCall(PetscViewerASCIIPrintf(viewer," exploiting symmetry of integration points\n"));
1364 0 : PetscCall(PetscViewerASCIIPrintf(viewer," threshold { delta: %g, spurious threshold: %g }\n",(double)ctx->delta,(double)ctx->spurious_threshold));
1365 0 : PetscCall(PetscViewerASCIIPrintf(viewer," iterative refinement { inner: %" PetscInt_FMT ", blocksize: %" PetscInt_FMT " }\n",ctx->refine_inner, ctx->refine_blocksize));
1366 0 : PetscCall(PetscViewerASCIIPrintf(viewer," extraction: %s\n",EPSCISSExtractions[ctx->extraction]));
1367 0 : PetscCall(PetscViewerASCIIPrintf(viewer," quadrature rule: %s\n",EPSCISSQuadRules[ctx->quad]));
1368 0 : if (ctx->usest) PetscCall(PetscViewerASCIIPrintf(viewer," using ST for linear solves\n"));
1369 : else {
1370 0 : if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL));
1371 0 : PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()");
1372 0 : PetscCall(PetscViewerASCIIPushTab(viewer));
1373 0 : if (ctx->npart>1 && ctx->contour->subcomm) {
1374 0 : PetscCall(PetscViewerGetSubViewer(viewer,ctx->contour->subcomm->child,&sviewer));
1375 0 : if (!ctx->contour->subcomm->color) PetscCall(KSPView(ctx->contour->ksp[0],sviewer));
1376 0 : PetscCall(PetscViewerFlush(sviewer));
1377 0 : PetscCall(PetscViewerRestoreSubViewer(viewer,ctx->contour->subcomm->child,&sviewer));
1378 : /* extra call needed because of the two calls to PetscViewerASCIIPushSynchronized() in PetscViewerGetSubViewer() */
1379 0 : PetscCall(PetscViewerASCIIPopSynchronized(viewer));
1380 0 : } else PetscCall(KSPView(ctx->contour->ksp[0],viewer));
1381 0 : PetscCall(PetscViewerASCIIPopTab(viewer));
1382 : }
1383 : }
1384 0 : PetscFunctionReturn(PETSC_SUCCESS);
1385 : }
1386 :
1387 52 : static PetscErrorCode EPSSetDefaultST_CISS(EPS eps)
1388 : {
1389 52 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1390 52 : PetscBool usest = ctx->usest;
1391 52 : KSP ksp;
1392 52 : PC pc;
1393 :
1394 52 : PetscFunctionBegin;
1395 52 : if (!((PetscObject)eps->st)->type_name) {
1396 21 : if (!ctx->usest_set) usest = (ctx->npart>1)? PETSC_FALSE: PETSC_TRUE;
1397 21 : if (usest) PetscCall(STSetType(eps->st,STSINVERT));
1398 : else {
1399 : /* we are not going to use ST, so avoid factorizing the matrix */
1400 14 : PetscCall(STSetType(eps->st,STSHIFT));
1401 14 : if (eps->isgeneralized) {
1402 3 : PetscCall(STGetKSP(eps->st,&ksp));
1403 3 : PetscCall(KSPGetPC(ksp,&pc));
1404 3 : PetscCall(PCSetType(pc,PCNONE));
1405 : }
1406 : }
1407 : }
1408 52 : PetscFunctionReturn(PETSC_SUCCESS);
1409 : }
1410 :
1411 26 : SLEPC_EXTERN PetscErrorCode EPSCreate_CISS(EPS eps)
1412 : {
1413 26 : EPS_CISS *ctx = (EPS_CISS*)eps->data;
1414 :
1415 26 : PetscFunctionBegin;
1416 26 : PetscCall(PetscNew(&ctx));
1417 26 : eps->data = ctx;
1418 :
1419 26 : eps->useds = PETSC_TRUE;
1420 26 : eps->categ = EPS_CATEGORY_CONTOUR;
1421 :
1422 26 : eps->ops->solve = EPSSolve_CISS;
1423 26 : eps->ops->setup = EPSSetUp_CISS;
1424 26 : eps->ops->setupsort = EPSSetUpSort_CISS;
1425 26 : eps->ops->setfromoptions = EPSSetFromOptions_CISS;
1426 26 : eps->ops->destroy = EPSDestroy_CISS;
1427 26 : eps->ops->reset = EPSReset_CISS;
1428 26 : eps->ops->view = EPSView_CISS;
1429 26 : eps->ops->computevectors = EPSComputeVectors_CISS;
1430 26 : eps->ops->setdefaultst = EPSSetDefaultST_CISS;
1431 :
1432 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetSizes_C",EPSCISSSetSizes_CISS));
1433 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetSizes_C",EPSCISSGetSizes_CISS));
1434 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetThreshold_C",EPSCISSSetThreshold_CISS));
1435 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetThreshold_C",EPSCISSGetThreshold_CISS));
1436 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetRefinement_C",EPSCISSSetRefinement_CISS));
1437 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetRefinement_C",EPSCISSGetRefinement_CISS));
1438 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetUseST_C",EPSCISSSetUseST_CISS));
1439 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetUseST_C",EPSCISSGetUseST_CISS));
1440 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetQuadRule_C",EPSCISSSetQuadRule_CISS));
1441 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetQuadRule_C",EPSCISSGetQuadRule_CISS));
1442 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetExtraction_C",EPSCISSSetExtraction_CISS));
1443 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetExtraction_C",EPSCISSGetExtraction_CISS));
1444 26 : PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetKSPs_C",EPSCISSGetKSPs_CISS));
1445 :
1446 : /* set default values of parameters */
1447 26 : ctx->N = 32;
1448 26 : ctx->L = 16;
1449 26 : ctx->M = ctx->N/4;
1450 26 : ctx->delta = SLEPC_DEFAULT_TOL*1e-4;
1451 26 : ctx->L_max = 64;
1452 26 : ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL);
1453 26 : ctx->usest = PETSC_TRUE;
1454 26 : ctx->usest_set = PETSC_FALSE;
1455 26 : ctx->isreal = PETSC_FALSE;
1456 26 : ctx->refine_inner = 0;
1457 26 : ctx->refine_blocksize = 0;
1458 26 : ctx->npart = 1;
1459 26 : ctx->quad = (EPSCISSQuadRule)0;
1460 26 : ctx->extraction = EPS_CISS_EXTRACTION_RITZ;
1461 26 : PetscFunctionReturn(PETSC_SUCCESS);
1462 : }
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