Actual source code: pepview.c

slepc-3.22.2 2024-12-02
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

  6:    This file is part of SLEPc.
  7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
  8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  9: */
 10: /*
 11:    The PEP routines related to various viewers
 12: */

 14: #include <slepc/private/pepimpl.h>
 15: #include <slepc/private/bvimpl.h>
 16: #include <petscdraw.h>

 18: /*@
 19:    PEPView - Prints the PEP data structure.

 21:    Collective

 23:    Input Parameters:
 24: +  pep - the polynomial eigenproblem solver context
 25: -  viewer - optional visualization context

 27:    Options Database Key:
 28: .  -pep_view -  Calls PEPView() at end of PEPSolve()

 30:    Note:
 31:    The available visualization contexts include
 32: +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
 33: -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
 34:          output where only the first processor opens
 35:          the file.  All other processors send their
 36:          data to the first processor to print.

 38:    The user can open an alternative visualization context with
 39:    PetscViewerASCIIOpen() - output to a specified file.

 41:    Level: beginner

 43: .seealso: STView()
 44: @*/
 45: PetscErrorCode PEPView(PEP pep,PetscViewer viewer)
 46: {
 47:   const char     *type=NULL;
 48:   char           str[50];
 49:   PetscBool      isascii,islinear,istrivial;
 50:   PetscInt       i;
 51:   PetscViewer    sviewer;
 52:   MPI_Comm       child;

 54:   PetscFunctionBegin;
 56:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pep),&viewer));
 58:   PetscCheckSameComm(pep,1,viewer,2);

 60:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
 61:   if (isascii) {
 62:     PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)pep,viewer));
 63:     PetscCall(PetscViewerASCIIPushTab(viewer));
 64:     PetscTryTypeMethod(pep,view,viewer);
 65:     PetscCall(PetscViewerASCIIPopTab(viewer));
 66:     if (pep->problem_type) {
 67:       switch (pep->problem_type) {
 68:         case PEP_GENERAL:    type = "general polynomial eigenvalue problem"; break;
 69:         case PEP_HERMITIAN:  type = SLEPC_STRING_HERMITIAN " polynomial eigenvalue problem"; break;
 70:         case PEP_HYPERBOLIC: type = "hyperbolic polynomial eigenvalue problem"; break;
 71:         case PEP_GYROSCOPIC: type = "gyroscopic polynomial eigenvalue problem"; break;
 72:       }
 73:     } else type = "not yet set";
 74:     PetscCall(PetscViewerASCIIPrintf(viewer,"  problem type: %s\n",type));
 75:     PetscCall(PetscViewerASCIIPrintf(viewer,"  polynomial represented in %s basis\n",PEPBasisTypes[pep->basis]));
 76:     switch (pep->scale) {
 77:       case PEP_SCALE_NONE:
 78:         break;
 79:       case PEP_SCALE_SCALAR:
 80:         PetscCall(PetscViewerASCIIPrintf(viewer,"  parameter scaling enabled, with scaling factor=%g\n",(double)pep->sfactor));
 81:         break;
 82:       case PEP_SCALE_DIAGONAL:
 83:         PetscCall(PetscViewerASCIIPrintf(viewer,"  diagonal balancing enabled, with its=%" PetscInt_FMT " and lambda=%g\n",pep->sits,(double)pep->slambda));
 84:         break;
 85:       case PEP_SCALE_BOTH:
 86:         PetscCall(PetscViewerASCIIPrintf(viewer,"  parameter scaling & diagonal balancing enabled, with scaling factor=%g, its=%" PetscInt_FMT " and lambda=%g\n",(double)pep->sfactor,pep->sits,(double)pep->slambda));
 87:         break;
 88:     }
 89:     PetscCall(PetscViewerASCIIPrintf(viewer,"  selected portion of the spectrum: "));
 90:     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
 91:     PetscCall(SlepcSNPrintfScalar(str,sizeof(str),pep->target,PETSC_FALSE));
 92:     if (!pep->which) PetscCall(PetscViewerASCIIPrintf(viewer,"not yet set\n"));
 93:     else switch (pep->which) {
 94:       case PEP_WHICH_USER:
 95:         PetscCall(PetscViewerASCIIPrintf(viewer,"user defined\n"));
 96:         break;
 97:       case PEP_TARGET_MAGNITUDE:
 98:         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (in magnitude)\n",str));
 99:         break;
100:       case PEP_TARGET_REAL:
101:         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (along the real axis)\n",str));
102:         break;
103:       case PEP_TARGET_IMAGINARY:
104:         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (along the imaginary axis)\n",str));
105:         break;
106:       case PEP_LARGEST_MAGNITUDE:
107:         PetscCall(PetscViewerASCIIPrintf(viewer,"largest eigenvalues in magnitude\n"));
108:         break;
109:       case PEP_SMALLEST_MAGNITUDE:
110:         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest eigenvalues in magnitude\n"));
111:         break;
112:       case PEP_LARGEST_REAL:
113:         PetscCall(PetscViewerASCIIPrintf(viewer,"largest real parts\n"));
114:         break;
115:       case PEP_SMALLEST_REAL:
116:         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest real parts\n"));
117:         break;
118:       case PEP_LARGEST_IMAGINARY:
119:         PetscCall(PetscViewerASCIIPrintf(viewer,"largest imaginary parts\n"));
120:         break;
121:       case PEP_SMALLEST_IMAGINARY:
122:         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest imaginary parts\n"));
123:         break;
124:       case PEP_ALL:
125:         if (pep->inta || pep->intb) PetscCall(PetscViewerASCIIPrintf(viewer,"all eigenvalues in interval [%g,%g]\n",(double)pep->inta,(double)pep->intb));
126:         else PetscCall(PetscViewerASCIIPrintf(viewer,"all eigenvalues in the region\n"));
127:         break;
128:     }
129:     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
130:     PetscCall(PetscViewerASCIIPrintf(viewer,"  number of eigenvalues (nev): %" PetscInt_FMT "\n",pep->nev));
131:     PetscCall(PetscViewerASCIIPrintf(viewer,"  number of column vectors (ncv): %" PetscInt_FMT "\n",pep->ncv));
132:     PetscCall(PetscViewerASCIIPrintf(viewer,"  maximum dimension of projected problem (mpd): %" PetscInt_FMT "\n",pep->mpd));
133:     PetscCall(PetscViewerASCIIPrintf(viewer,"  maximum number of iterations: %" PetscInt_FMT "\n",pep->max_it));
134:     PetscCall(PetscViewerASCIIPrintf(viewer,"  tolerance: %g\n",(double)pep->tol));
135:     PetscCall(PetscViewerASCIIPrintf(viewer,"  convergence test: "));
136:     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
137:     switch (pep->conv) {
138:     case PEP_CONV_ABS:
139:       PetscCall(PetscViewerASCIIPrintf(viewer,"absolute\n"));break;
140:     case PEP_CONV_REL:
141:       PetscCall(PetscViewerASCIIPrintf(viewer,"relative to the eigenvalue\n"));break;
142:     case PEP_CONV_NORM:
143:       PetscCall(PetscViewerASCIIPrintf(viewer,"relative to the matrix norms\n"));
144:       if (pep->nrma) {
145:         PetscCall(PetscViewerASCIIPrintf(viewer,"  computed matrix norms: %g",(double)pep->nrma[0]));
146:         for (i=1;i<pep->nmat;i++) PetscCall(PetscViewerASCIIPrintf(viewer,", %g",(double)pep->nrma[i]));
147:         PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
148:       }
149:       break;
150:     case PEP_CONV_USER:
151:       PetscCall(PetscViewerASCIIPrintf(viewer,"user-defined\n"));break;
152:     }
153:     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
154:     PetscCall(PetscViewerASCIIPrintf(viewer,"  extraction type: %s\n",PEPExtractTypes[pep->extract]));
155:     if (pep->refine) {
156:       PetscCall(PetscViewerASCIIPrintf(viewer,"  iterative refinement: %s, with %s scheme\n",PEPRefineTypes[pep->refine],PEPRefineSchemes[pep->scheme]));
157:       PetscCall(PetscViewerASCIIPrintf(viewer,"  refinement stopping criterion: tol=%g, its=%" PetscInt_FMT "\n",(double)pep->rtol,pep->rits));
158:       if (pep->npart>1) PetscCall(PetscViewerASCIIPrintf(viewer,"  splitting communicator in %" PetscInt_FMT " partitions for refinement\n",pep->npart));
159:     }
160:     if (pep->nini) PetscCall(PetscViewerASCIIPrintf(viewer,"  dimension of user-provided initial space: %" PetscInt_FMT "\n",PetscAbs(pep->nini)));
161:   } else PetscTryTypeMethod(pep,view,viewer);
162:   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO));
163:   if (!pep->V) PetscCall(PEPGetBV(pep,&pep->V));
164:   PetscCall(BVView(pep->V,viewer));
165:   if (!pep->rg) PetscCall(PEPGetRG(pep,&pep->rg));
166:   PetscCall(RGIsTrivial(pep->rg,&istrivial));
167:   if (!istrivial) PetscCall(RGView(pep->rg,viewer));
168:   PetscCall(PetscObjectTypeCompare((PetscObject)pep,PEPLINEAR,&islinear));
169:   if (!islinear) {
170:     if (!pep->ds) PetscCall(PEPGetDS(pep,&pep->ds));
171:     PetscCall(DSView(pep->ds,viewer));
172:   }
173:   PetscCall(PetscViewerPopFormat(viewer));
174:   if (!pep->st) PetscCall(PEPGetST(pep,&pep->st));
175:   PetscCall(STView(pep->st,viewer));
176:   if (pep->refine!=PEP_REFINE_NONE) {
177:     PetscCall(PetscViewerASCIIPushTab(viewer));
178:     if (pep->npart>1) {
179:       if (pep->refinesubc->color==0) {
180:         PetscCall(PetscSubcommGetChild(pep->refinesubc,&child));
181:         PetscCall(PetscViewerASCIIGetStdout(child,&sviewer));
182:         PetscCall(KSPView(pep->refineksp,sviewer));
183:       }
184:     } else PetscCall(KSPView(pep->refineksp,viewer));
185:     PetscCall(PetscViewerASCIIPopTab(viewer));
186:   }
187:   PetscFunctionReturn(PETSC_SUCCESS);
188: }

190: /*@
191:    PEPViewFromOptions - View from options

193:    Collective

195:    Input Parameters:
196: +  pep  - the eigensolver context
197: .  obj  - optional object
198: -  name - command line option

200:    Level: intermediate

202: .seealso: PEPView(), PEPCreate()
203: @*/
204: PetscErrorCode PEPViewFromOptions(PEP pep,PetscObject obj,const char name[])
205: {
206:   PetscFunctionBegin;
208:   PetscCall(PetscObjectViewFromOptions((PetscObject)pep,obj,name));
209:   PetscFunctionReturn(PETSC_SUCCESS);
210: }

212: /*@
213:    PEPConvergedReasonView - Displays the reason a PEP solve converged or diverged.

215:    Collective

217:    Input Parameters:
218: +  pep - the eigensolver context
219: -  viewer - the viewer to display the reason

221:    Options Database Keys:
222: .  -pep_converged_reason - print reason for convergence, and number of iterations

224:    Note:
225:    To change the format of the output call PetscViewerPushFormat(viewer,format) before
226:    this call. Use PETSC_VIEWER_DEFAULT for the default, use PETSC_VIEWER_FAILED to only
227:    display a reason if it fails. The latter can be set in the command line with
228:    -pep_converged_reason ::failed

230:    Level: intermediate

232: .seealso: PEPSetConvergenceTest(), PEPSetTolerances(), PEPGetIterationNumber(), PEPConvergedReasonViewFromOptions()
233: @*/
234: PetscErrorCode PEPConvergedReasonView(PEP pep,PetscViewer viewer)
235: {
236:   PetscBool         isAscii;
237:   PetscViewerFormat format;

239:   PetscFunctionBegin;
240:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pep));
241:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isAscii));
242:   if (isAscii) {
243:     PetscCall(PetscViewerGetFormat(viewer,&format));
244:     PetscCall(PetscViewerASCIIAddTab(viewer,((PetscObject)pep)->tablevel));
245:     if (pep->reason > 0 && format != PETSC_VIEWER_FAILED) PetscCall(PetscViewerASCIIPrintf(viewer,"%s Polynomial eigensolve converged (%" PetscInt_FMT " eigenpair%s) due to %s; iterations %" PetscInt_FMT "\n",((PetscObject)pep)->prefix?((PetscObject)pep)->prefix:"",pep->nconv,(pep->nconv>1)?"s":"",PEPConvergedReasons[pep->reason],pep->its));
246:     else if (pep->reason <= 0) PetscCall(PetscViewerASCIIPrintf(viewer,"%s Polynomial eigensolve did not converge due to %s; iterations %" PetscInt_FMT "\n",((PetscObject)pep)->prefix?((PetscObject)pep)->prefix:"",PEPConvergedReasons[pep->reason],pep->its));
247:     PetscCall(PetscViewerASCIISubtractTab(viewer,((PetscObject)pep)->tablevel));
248:   }
249:   PetscFunctionReturn(PETSC_SUCCESS);
250: }

252: /*@
253:    PEPConvergedReasonViewFromOptions - Processes command line options to determine if/how
254:    the PEP converged reason is to be viewed.

256:    Collective

258:    Input Parameter:
259: .  pep - the eigensolver context

261:    Level: developer

263: .seealso: PEPConvergedReasonView()
264: @*/
265: PetscErrorCode PEPConvergedReasonViewFromOptions(PEP pep)
266: {
267:   PetscViewer       viewer;
268:   PetscBool         flg;
269:   static PetscBool  incall = PETSC_FALSE;
270:   PetscViewerFormat format;

272:   PetscFunctionBegin;
273:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
274:   incall = PETSC_TRUE;
275:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_converged_reason",&viewer,&format,&flg));
276:   if (flg) {
277:     PetscCall(PetscViewerPushFormat(viewer,format));
278:     PetscCall(PEPConvergedReasonView(pep,viewer));
279:     PetscCall(PetscViewerPopFormat(viewer));
280:     PetscCall(PetscViewerDestroy(&viewer));
281:   }
282:   incall = PETSC_FALSE;
283:   PetscFunctionReturn(PETSC_SUCCESS);
284: }

286: static PetscErrorCode PEPErrorView_ASCII(PEP pep,PEPErrorType etype,PetscViewer viewer)
287: {
288:   PetscReal      error;
289:   PetscInt       i,j,k,nvals;

291:   PetscFunctionBegin;
292:   nvals = (pep->which==PEP_ALL)? pep->nconv: pep->nev;
293:   if (pep->which!=PEP_ALL && pep->nconv<pep->nev) {
294:     PetscCall(PetscViewerASCIIPrintf(viewer," Problem: less than %" PetscInt_FMT " eigenvalues converged\n\n",pep->nev));
295:     PetscFunctionReturn(PETSC_SUCCESS);
296:   }
297:   if (pep->which==PEP_ALL && !nvals) {
298:     PetscCall(PetscViewerASCIIPrintf(viewer," No eigenvalues have been found\n\n"));
299:     PetscFunctionReturn(PETSC_SUCCESS);
300:   }
301:   for (i=0;i<nvals;i++) {
302:     PetscCall(PEPComputeError(pep,i,etype,&error));
303:     if (error>=5.0*pep->tol) {
304:       PetscCall(PetscViewerASCIIPrintf(viewer," Problem: some of the first %" PetscInt_FMT " relative errors are higher than the tolerance\n\n",nvals));
305:       PetscFunctionReturn(PETSC_SUCCESS);
306:     }
307:   }
308:   if (pep->which==PEP_ALL) PetscCall(PetscViewerASCIIPrintf(viewer," Found %" PetscInt_FMT " eigenvalues, all of them computed up to the required tolerance:",nvals));
309:   else PetscCall(PetscViewerASCIIPrintf(viewer," All requested eigenvalues computed up to the required tolerance:"));
310:   for (i=0;i<=(nvals-1)/8;i++) {
311:     PetscCall(PetscViewerASCIIPrintf(viewer,"\n     "));
312:     for (j=0;j<PetscMin(8,nvals-8*i);j++) {
313:       k = pep->perm[8*i+j];
314:       PetscCall(SlepcPrintEigenvalueASCII(viewer,pep->eigr[k],pep->eigi[k]));
315:       if (8*i+j+1<nvals) PetscCall(PetscViewerASCIIPrintf(viewer,", "));
316:     }
317:   }
318:   PetscCall(PetscViewerASCIIPrintf(viewer,"\n\n"));
319:   PetscFunctionReturn(PETSC_SUCCESS);
320: }

322: static PetscErrorCode PEPErrorView_DETAIL(PEP pep,PEPErrorType etype,PetscViewer viewer)
323: {
324:   PetscReal      error,re,im;
325:   PetscScalar    kr,ki;
326:   PetscInt       i;
327:   char           ex[30],sep[]=" ---------------------- --------------------\n";

329:   PetscFunctionBegin;
330:   if (!pep->nconv) PetscFunctionReturn(PETSC_SUCCESS);
331:   switch (etype) {
332:     case PEP_ERROR_ABSOLUTE:
333:       PetscCall(PetscSNPrintf(ex,sizeof(ex),"   ||P(k)x||"));
334:       break;
335:     case PEP_ERROR_RELATIVE:
336:       PetscCall(PetscSNPrintf(ex,sizeof(ex),"||P(k)x||/||kx||"));
337:       break;
338:     case PEP_ERROR_BACKWARD:
339:       PetscCall(PetscSNPrintf(ex,sizeof(ex),"    eta(x,k)"));
340:       break;
341:   }
342:   PetscCall(PetscViewerASCIIPrintf(viewer,"%s            k             %s\n%s",sep,ex,sep));
343:   for (i=0;i<pep->nconv;i++) {
344:     PetscCall(PEPGetEigenpair(pep,i,&kr,&ki,NULL,NULL));
345:     PetscCall(PEPComputeError(pep,i,etype,&error));
346: #if defined(PETSC_USE_COMPLEX)
347:     re = PetscRealPart(kr);
348:     im = PetscImaginaryPart(kr);
349: #else
350:     re = kr;
351:     im = ki;
352: #endif
353:     if (im!=0.0) PetscCall(PetscViewerASCIIPrintf(viewer,"  % 9f%+9fi      %12g\n",(double)re,(double)im,(double)error));
354:     else PetscCall(PetscViewerASCIIPrintf(viewer,"    % 12f           %12g\n",(double)re,(double)error));
355:   }
356:   PetscCall(PetscViewerASCIIPrintf(viewer,"%s",sep));
357:   PetscFunctionReturn(PETSC_SUCCESS);
358: }

360: static PetscErrorCode PEPErrorView_MATLAB(PEP pep,PEPErrorType etype,PetscViewer viewer)
361: {
362:   PetscReal      error;
363:   PetscInt       i;
364:   const char     *name;

366:   PetscFunctionBegin;
367:   PetscCall(PetscObjectGetName((PetscObject)pep,&name));
368:   PetscCall(PetscViewerASCIIPrintf(viewer,"Error_%s = [\n",name));
369:   for (i=0;i<pep->nconv;i++) {
370:     PetscCall(PEPComputeError(pep,i,etype,&error));
371:     PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e\n",(double)error));
372:   }
373:   PetscCall(PetscViewerASCIIPrintf(viewer,"];\n"));
374:   PetscFunctionReturn(PETSC_SUCCESS);
375: }

377: /*@
378:    PEPErrorView - Displays the errors associated with the computed solution
379:    (as well as the eigenvalues).

381:    Collective

383:    Input Parameters:
384: +  pep    - the eigensolver context
385: .  etype  - error type
386: -  viewer - optional visualization context

388:    Options Database Keys:
389: +  -pep_error_absolute - print absolute errors of each eigenpair
390: .  -pep_error_relative - print relative errors of each eigenpair
391: -  -pep_error_backward - print backward errors of each eigenpair

393:    Notes:
394:    By default, this function checks the error of all eigenpairs and prints
395:    the eigenvalues if all of them are below the requested tolerance.
396:    If the viewer has format=PETSC_VIEWER_ASCII_INFO_DETAIL then a table with
397:    eigenvalues and corresponding errors is printed.

399:    Level: intermediate

401: .seealso: PEPSolve(), PEPValuesView(), PEPVectorsView()
402: @*/
403: PetscErrorCode PEPErrorView(PEP pep,PEPErrorType etype,PetscViewer viewer)
404: {
405:   PetscBool         isascii;
406:   PetscViewerFormat format;

408:   PetscFunctionBegin;
410:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pep),&viewer));
412:   PetscCheckSameComm(pep,1,viewer,3);
413:   PEPCheckSolved(pep,1);
414:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
415:   if (!isascii) PetscFunctionReturn(PETSC_SUCCESS);

417:   PetscCall(PetscViewerGetFormat(viewer,&format));
418:   switch (format) {
419:     case PETSC_VIEWER_DEFAULT:
420:     case PETSC_VIEWER_ASCII_INFO:
421:       PetscCall(PEPErrorView_ASCII(pep,etype,viewer));
422:       break;
423:     case PETSC_VIEWER_ASCII_INFO_DETAIL:
424:       PetscCall(PEPErrorView_DETAIL(pep,etype,viewer));
425:       break;
426:     case PETSC_VIEWER_ASCII_MATLAB:
427:       PetscCall(PEPErrorView_MATLAB(pep,etype,viewer));
428:       break;
429:     default:
430:       PetscCall(PetscInfo(pep,"Unsupported viewer format %s\n",PetscViewerFormats[format]));
431:   }
432:   PetscFunctionReturn(PETSC_SUCCESS);
433: }

435: /*@
436:    PEPErrorViewFromOptions - Processes command line options to determine if/how
437:    the errors of the computed solution are to be viewed.

439:    Collective

441:    Input Parameter:
442: .  pep - the eigensolver context

444:    Level: developer

446: .seealso: PEPErrorView()
447: @*/
448: PetscErrorCode PEPErrorViewFromOptions(PEP pep)
449: {
450:   PetscViewer       viewer;
451:   PetscBool         flg;
452:   static PetscBool  incall = PETSC_FALSE;
453:   PetscViewerFormat format;

455:   PetscFunctionBegin;
456:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
457:   incall = PETSC_TRUE;
458:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_error_absolute",&viewer,&format,&flg));
459:   if (flg) {
460:     PetscCall(PetscViewerPushFormat(viewer,format));
461:     PetscCall(PEPErrorView(pep,PEP_ERROR_ABSOLUTE,viewer));
462:     PetscCall(PetscViewerPopFormat(viewer));
463:     PetscCall(PetscViewerDestroy(&viewer));
464:   }
465:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_error_relative",&viewer,&format,&flg));
466:   if (flg) {
467:     PetscCall(PetscViewerPushFormat(viewer,format));
468:     PetscCall(PEPErrorView(pep,PEP_ERROR_RELATIVE,viewer));
469:     PetscCall(PetscViewerPopFormat(viewer));
470:     PetscCall(PetscViewerDestroy(&viewer));
471:   }
472:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_error_backward",&viewer,&format,&flg));
473:   if (flg) {
474:     PetscCall(PetscViewerPushFormat(viewer,format));
475:     PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,viewer));
476:     PetscCall(PetscViewerPopFormat(viewer));
477:     PetscCall(PetscViewerDestroy(&viewer));
478:   }
479:   incall = PETSC_FALSE;
480:   PetscFunctionReturn(PETSC_SUCCESS);
481: }

483: static PetscErrorCode PEPValuesView_DRAW(PEP pep,PetscViewer viewer)
484: {
485:   PetscDraw      draw;
486:   PetscDrawSP    drawsp;
487:   PetscReal      re,im;
488:   PetscInt       i,k;

490:   PetscFunctionBegin;
491:   if (!pep->nconv) PetscFunctionReturn(PETSC_SUCCESS);
492:   PetscCall(PetscViewerDrawGetDraw(viewer,0,&draw));
493:   PetscCall(PetscDrawSetTitle(draw,"Computed Eigenvalues"));
494:   PetscCall(PetscDrawSPCreate(draw,1,&drawsp));
495:   for (i=0;i<pep->nconv;i++) {
496:     k = pep->perm[i];
497: #if defined(PETSC_USE_COMPLEX)
498:     re = PetscRealPart(pep->eigr[k]);
499:     im = PetscImaginaryPart(pep->eigr[k]);
500: #else
501:     re = pep->eigr[k];
502:     im = pep->eigi[k];
503: #endif
504:     PetscCall(PetscDrawSPAddPoint(drawsp,&re,&im));
505:   }
506:   PetscCall(PetscDrawSPDraw(drawsp,PETSC_TRUE));
507:   PetscCall(PetscDrawSPSave(drawsp));
508:   PetscCall(PetscDrawSPDestroy(&drawsp));
509:   PetscFunctionReturn(PETSC_SUCCESS);
510: }

512: static PetscErrorCode PEPValuesView_BINARY(PEP pep,PetscViewer viewer)
513: {
514: #if defined(PETSC_HAVE_COMPLEX)
515:   PetscInt       i,k;
516:   PetscComplex   *ev;
517: #endif

519:   PetscFunctionBegin;
520: #if defined(PETSC_HAVE_COMPLEX)
521:   PetscCall(PetscMalloc1(pep->nconv,&ev));
522:   for (i=0;i<pep->nconv;i++) {
523:     k = pep->perm[i];
524: #if defined(PETSC_USE_COMPLEX)
525:     ev[i] = pep->eigr[k];
526: #else
527:     ev[i] = PetscCMPLX(pep->eigr[k],pep->eigi[k]);
528: #endif
529:   }
530:   PetscCall(PetscViewerBinaryWrite(viewer,ev,pep->nconv,PETSC_COMPLEX));
531:   PetscCall(PetscFree(ev));
532: #endif
533:   PetscFunctionReturn(PETSC_SUCCESS);
534: }

536: #if defined(PETSC_HAVE_HDF5)
537: static PetscErrorCode PEPValuesView_HDF5(PEP pep,PetscViewer viewer)
538: {
539:   PetscInt       i,k,n,N;
540:   PetscMPIInt    rank;
541:   Vec            v;
542:   char           vname[30];
543:   const char     *ename;

545:   PetscFunctionBegin;
546:   PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rank));
547:   N = pep->nconv;
548:   n = rank? 0: N;
549:   /* create a vector containing the eigenvalues */
550:   PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)pep),n,N,&v));
551:   PetscCall(PetscObjectGetName((PetscObject)pep,&ename));
552:   PetscCall(PetscSNPrintf(vname,sizeof(vname),"eigr_%s",ename));
553:   PetscCall(PetscObjectSetName((PetscObject)v,vname));
554:   if (!rank) {
555:     for (i=0;i<pep->nconv;i++) {
556:       k = pep->perm[i];
557:       PetscCall(VecSetValue(v,i,pep->eigr[k],INSERT_VALUES));
558:     }
559:   }
560:   PetscCall(VecAssemblyBegin(v));
561:   PetscCall(VecAssemblyEnd(v));
562:   PetscCall(VecView(v,viewer));
563: #if !defined(PETSC_USE_COMPLEX)
564:   /* in real scalars write the imaginary part as a separate vector */
565:   PetscCall(PetscSNPrintf(vname,sizeof(vname),"eigi_%s",ename));
566:   PetscCall(PetscObjectSetName((PetscObject)v,vname));
567:   if (!rank) {
568:     for (i=0;i<pep->nconv;i++) {
569:       k = pep->perm[i];
570:       PetscCall(VecSetValue(v,i,pep->eigi[k],INSERT_VALUES));
571:     }
572:   }
573:   PetscCall(VecAssemblyBegin(v));
574:   PetscCall(VecAssemblyEnd(v));
575:   PetscCall(VecView(v,viewer));
576: #endif
577:   PetscCall(VecDestroy(&v));
578:   PetscFunctionReturn(PETSC_SUCCESS);
579: }
580: #endif

582: static PetscErrorCode PEPValuesView_ASCII(PEP pep,PetscViewer viewer)
583: {
584:   PetscInt       i,k;

586:   PetscFunctionBegin;
587:   PetscCall(PetscViewerASCIIPrintf(viewer,"Eigenvalues = \n"));
588:   for (i=0;i<pep->nconv;i++) {
589:     k = pep->perm[i];
590:     PetscCall(PetscViewerASCIIPrintf(viewer,"   "));
591:     PetscCall(SlepcPrintEigenvalueASCII(viewer,pep->eigr[k],pep->eigi[k]));
592:     PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
593:   }
594:   PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
595:   PetscFunctionReturn(PETSC_SUCCESS);
596: }

598: static PetscErrorCode PEPValuesView_MATLAB(PEP pep,PetscViewer viewer)
599: {
600:   PetscInt       i,k;
601:   PetscReal      re,im;
602:   const char     *name;

604:   PetscFunctionBegin;
605:   PetscCall(PetscObjectGetName((PetscObject)pep,&name));
606:   PetscCall(PetscViewerASCIIPrintf(viewer,"Lambda_%s = [\n",name));
607:   for (i=0;i<pep->nconv;i++) {
608:     k = pep->perm[i];
609: #if defined(PETSC_USE_COMPLEX)
610:     re = PetscRealPart(pep->eigr[k]);
611:     im = PetscImaginaryPart(pep->eigr[k]);
612: #else
613:     re = pep->eigr[k];
614:     im = pep->eigi[k];
615: #endif
616:     if (im!=0.0) PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e%+18.16ei\n",(double)re,(double)im));
617:     else PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e\n",(double)re));
618:   }
619:   PetscCall(PetscViewerASCIIPrintf(viewer,"];\n"));
620:   PetscFunctionReturn(PETSC_SUCCESS);
621: }

623: /*@
624:    PEPValuesView - Displays the computed eigenvalues in a viewer.

626:    Collective

628:    Input Parameters:
629: +  pep    - the eigensolver context
630: -  viewer - the viewer

632:    Options Database Key:
633: .  -pep_view_values - print computed eigenvalues

635:    Level: intermediate

637: .seealso: PEPSolve(), PEPVectorsView(), PEPErrorView()
638: @*/
639: PetscErrorCode PEPValuesView(PEP pep,PetscViewer viewer)
640: {
641:   PetscBool         isascii,isdraw,isbinary;
642:   PetscViewerFormat format;
643: #if defined(PETSC_HAVE_HDF5)
644:   PetscBool         ishdf5;
645: #endif

647:   PetscFunctionBegin;
649:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pep),&viewer));
651:   PetscCheckSameComm(pep,1,viewer,2);
652:   PEPCheckSolved(pep,1);
653:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw));
654:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary));
655: #if defined(PETSC_HAVE_HDF5)
656:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERHDF5,&ishdf5));
657: #endif
658:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
659:   if (isdraw) PetscCall(PEPValuesView_DRAW(pep,viewer));
660:   else if (isbinary) PetscCall(PEPValuesView_BINARY(pep,viewer));
661: #if defined(PETSC_HAVE_HDF5)
662:   else if (ishdf5) PetscCall(PEPValuesView_HDF5(pep,viewer));
663: #endif
664:   else if (isascii) {
665:     PetscCall(PetscViewerGetFormat(viewer,&format));
666:     switch (format) {
667:       case PETSC_VIEWER_DEFAULT:
668:       case PETSC_VIEWER_ASCII_INFO:
669:       case PETSC_VIEWER_ASCII_INFO_DETAIL:
670:         PetscCall(PEPValuesView_ASCII(pep,viewer));
671:         break;
672:       case PETSC_VIEWER_ASCII_MATLAB:
673:         PetscCall(PEPValuesView_MATLAB(pep,viewer));
674:         break;
675:       default:
676:         PetscCall(PetscInfo(pep,"Unsupported viewer format %s\n",PetscViewerFormats[format]));
677:     }
678:   }
679:   PetscFunctionReturn(PETSC_SUCCESS);
680: }

682: /*@
683:    PEPValuesViewFromOptions - Processes command line options to determine if/how
684:    the computed eigenvalues are to be viewed.

686:    Collective

688:    Input Parameter:
689: .  pep - the eigensolver context

691:    Level: developer

693: .seealso: PEPValuesView()
694: @*/
695: PetscErrorCode PEPValuesViewFromOptions(PEP pep)
696: {
697:   PetscViewer       viewer;
698:   PetscBool         flg;
699:   static PetscBool  incall = PETSC_FALSE;
700:   PetscViewerFormat format;

702:   PetscFunctionBegin;
703:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
704:   incall = PETSC_TRUE;
705:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_view_values",&viewer,&format,&flg));
706:   if (flg) {
707:     PetscCall(PetscViewerPushFormat(viewer,format));
708:     PetscCall(PEPValuesView(pep,viewer));
709:     PetscCall(PetscViewerPopFormat(viewer));
710:     PetscCall(PetscViewerDestroy(&viewer));
711:   }
712:   incall = PETSC_FALSE;
713:   PetscFunctionReturn(PETSC_SUCCESS);
714: }

716: /*@
717:    PEPVectorsView - Outputs computed eigenvectors to a viewer.

719:    Collective

721:    Input Parameters:
722: +  pep    - the eigensolver context
723: -  viewer - the viewer

725:    Options Database Key:
726: .  -pep_view_vectors - output eigenvectors.

728:    Note:
729:    If PETSc was configured with real scalars, complex conjugate eigenvectors
730:    will be viewed as two separate real vectors, one containing the real part
731:    and another one containing the imaginary part.

733:    Level: intermediate

735: .seealso: PEPSolve(), PEPValuesView(), PEPErrorView()
736: @*/
737: PetscErrorCode PEPVectorsView(PEP pep,PetscViewer viewer)
738: {
739:   PetscInt       i,k;
740:   Vec            xr,xi=NULL;

742:   PetscFunctionBegin;
744:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pep),&viewer));
746:   PetscCheckSameComm(pep,1,viewer,2);
747:   PEPCheckSolved(pep,1);
748:   if (pep->nconv) {
749:     PetscCall(PEPComputeVectors(pep));
750:     PetscCall(BVCreateVec(pep->V,&xr));
751: #if !defined(PETSC_USE_COMPLEX)
752:     PetscCall(BVCreateVec(pep->V,&xi));
753: #endif
754:     for (i=0;i<pep->nconv;i++) {
755:       k = pep->perm[i];
756:       PetscCall(BV_GetEigenvector(pep->V,k,pep->eigi[k],xr,xi));
757:       PetscCall(SlepcViewEigenvector(viewer,xr,xi,"X",i,(PetscObject)pep));
758:     }
759:     PetscCall(VecDestroy(&xr));
760: #if !defined(PETSC_USE_COMPLEX)
761:     PetscCall(VecDestroy(&xi));
762: #endif
763:   }
764:   PetscFunctionReturn(PETSC_SUCCESS);
765: }

767: /*@
768:    PEPVectorsViewFromOptions - Processes command line options to determine if/how
769:    the computed eigenvectors are to be viewed.

771:    Collective

773:    Input Parameter:
774: .  pep - the eigensolver context

776:    Level: developer

778: .seealso: PEPVectorsView()
779: @*/
780: PetscErrorCode PEPVectorsViewFromOptions(PEP pep)
781: {
782:   PetscViewer       viewer;
783:   PetscBool         flg = PETSC_FALSE;
784:   static PetscBool  incall = PETSC_FALSE;
785:   PetscViewerFormat format;

787:   PetscFunctionBegin;
788:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
789:   incall = PETSC_TRUE;
790:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)pep),((PetscObject)pep)->options,((PetscObject)pep)->prefix,"-pep_view_vectors",&viewer,&format,&flg));
791:   if (flg) {
792:     PetscCall(PetscViewerPushFormat(viewer,format));
793:     PetscCall(PEPVectorsView(pep,viewer));
794:     PetscCall(PetscViewerPopFormat(viewer));
795:     PetscCall(PetscViewerDestroy(&viewer));
796:   }
797:   incall = PETSC_FALSE;
798:   PetscFunctionReturn(PETSC_SUCCESS);
799: }