Actual source code: snesut.c


  2: #include <petsc/private/snesimpl.h>
  3: #include <petscdm.h>
  4: #include <petscsection.h>
  5: #include <petscblaslapack.h>

  7: /*@C
  8:    SNESMonitorSolution - Monitors progress of the SNES solvers by calling
  9:    VecView() for the approximate solution at each iteration.

 11:    Collective on SNES

 13:    Input Parameters:
 14: +  snes - the SNES context
 15: .  its - iteration number
 16: .  fgnorm - 2-norm of residual
 17: -  dummy -  a viewer

 19:    Options Database Keys:
 20: .  -snes_monitor_solution [ascii binary draw][:filename][:viewer format] - plots solution at each iteration

 22:    Level: intermediate

 24: .seealso: SNESMonitorSet(), SNESMonitorDefault(), VecView()
 25: @*/
 26: PetscErrorCode  SNESMonitorSolution(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
 27: {
 29:   Vec            x;
 30:   PetscViewer    viewer = vf->viewer;

 34:   SNESGetSolution(snes,&x);
 35:   PetscViewerPushFormat(viewer,vf->format);
 36:   VecView(x,viewer);
 37:   PetscViewerPopFormat(viewer);
 38:   return(0);
 39: }

 41: /*@C
 42:    SNESMonitorResidual - Monitors progress of the SNES solvers by calling
 43:    VecView() for the residual at each iteration.

 45:    Collective on SNES

 47:    Input Parameters:
 48: +  snes - the SNES context
 49: .  its - iteration number
 50: .  fgnorm - 2-norm of residual
 51: -  dummy -  a viewer

 53:    Options Database Keys:
 54: .  -snes_monitor_residual [ascii binary draw][:filename][:viewer format] - plots residual (not its norm) at each iteration

 56:    Level: intermediate

 58: .seealso: SNESMonitorSet(), SNESMonitorDefault(), VecView()
 59: @*/
 60: PetscErrorCode  SNESMonitorResidual(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
 61: {
 63:   Vec            x;
 64:   PetscViewer    viewer = vf->viewer;

 68:   SNESGetFunction(snes,&x,NULL,NULL);
 69:   PetscViewerPushFormat(viewer,vf->format);
 70:   VecView(x,viewer);
 71:   PetscViewerPopFormat(viewer);
 72:   return(0);
 73: }

 75: /*@C
 76:    SNESMonitorSolutionUpdate - Monitors progress of the SNES solvers by calling
 77:    VecView() for the UPDATE to the solution at each iteration.

 79:    Collective on SNES

 81:    Input Parameters:
 82: +  snes - the SNES context
 83: .  its - iteration number
 84: .  fgnorm - 2-norm of residual
 85: -  dummy - a viewer

 87:    Options Database Keys:
 88: .  -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration

 90:    Level: intermediate

 92: .seealso: SNESMonitorSet(), SNESMonitorDefault(), VecView()
 93: @*/
 94: PetscErrorCode  SNESMonitorSolutionUpdate(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
 95: {
 97:   Vec            x;
 98:   PetscViewer    viewer = vf->viewer;

102:   SNESGetSolutionUpdate(snes,&x);
103:   PetscViewerPushFormat(viewer,vf->format);
104:   VecView(x,viewer);
105:   PetscViewerPopFormat(viewer);
106:   return(0);
107: }

109: #include <petscdraw.h>

111: /*@C
112:   KSPMonitorSNESResidual - Prints the SNES residual norm, as well as the linear residual norm, at each iteration of an iterative solver.

114:   Collective on ksp

116:   Input Parameters:
117: + ksp   - iterative context
118: . n     - iteration number
119: . rnorm - 2-norm (preconditioned) residual value (may be estimated).
120: - vf    - The viewer context

122:   Options Database Key:
123: . -snes_monitor_ksp - Activates KSPMonitorSNESResidual()

125:   Level: intermediate

127: .seealso: KSPMonitorSet(), KSPMonitorResidual(),KSPMonitorTrueResidualMaxNorm()
128: @*/
129: PetscErrorCode KSPMonitorSNESResidual(KSP ksp, PetscInt n, PetscReal rnorm, PetscViewerAndFormat *vf)
130: {
131:   PetscViewer       viewer = vf->viewer;
132:   PetscViewerFormat format = vf->format;
133:   SNES              snes   = (SNES) vf->data;
134:   Vec               snes_solution, work1, work2;
135:   PetscReal         snorm;
136:   PetscInt          tablevel;
137:   const char       *prefix;
138:   PetscErrorCode    ierr;

142:   SNESGetSolution(snes, &snes_solution);
143:   VecDuplicate(snes_solution, &work1);
144:   VecDuplicate(snes_solution, &work2);
145:   KSPBuildSolution(ksp, work1, NULL);
146:   VecAYPX(work1, -1.0, snes_solution);
147:   SNESComputeFunction(snes, work1, work2);
148:   VecNorm(work2, NORM_2, &snorm);
149:   VecDestroy(&work1);
150:   VecDestroy(&work2);

152:   PetscObjectGetTabLevel((PetscObject) ksp, &tablevel);
153:   PetscObjectGetOptionsPrefix((PetscObject) ksp, &prefix);
154:   PetscViewerPushFormat(viewer, format);
155:   PetscViewerASCIIAddTab(viewer, tablevel);
156:   if (n == 0 && prefix) {PetscViewerASCIIPrintf(viewer, "  Residual norms for %s solve.\n", prefix);}
157:   PetscViewerASCIIPrintf(viewer, "%3D SNES Residual norm %5.3e KSP Residual norm %5.3e \n", n, (double) snorm, (double) rnorm);
158:   PetscViewerASCIISubtractTab(viewer, tablevel);
159:   PetscViewerPopFormat(viewer);
160:   return(0);
161: }

163: /*@C
164:   KSPMonitorSNESResidualDrawLG - Plots the linear SNES residual norm at each iteration of an iterative solver.

166:   Collective on ksp

168:   Input Parameters:
169: + ksp   - iterative context
170: . n     - iteration number
171: . rnorm - 2-norm (preconditioned) residual value (may be estimated).
172: - vf    - The viewer context

174:   Options Database Key:
175: . -snes_monitor_ksp draw::draw_lg - Activates KSPMonitorSNESResidualDrawLG()

177:   Level: intermediate

179: .seealso: KSPMonitorSet(), KSPMonitorTrueResidual()
180: @*/
181: PetscErrorCode KSPMonitorSNESResidualDrawLG(KSP ksp, PetscInt n, PetscReal rnorm, PetscViewerAndFormat *vf)
182: {
183:   PetscViewer        viewer = vf->viewer;
184:   PetscViewerFormat  format = vf->format;
185:   PetscDrawLG        lg     = vf->lg;
186:   SNES               snes   = (SNES) vf->data;
187:   Vec                snes_solution, work1, work2;
188:   PetscReal          snorm;
189:   KSPConvergedReason reason;
190:   PetscReal          x[2], y[2];
191:   PetscErrorCode     ierr;

196:   SNESGetSolution(snes, &snes_solution);
197:   VecDuplicate(snes_solution, &work1);
198:   VecDuplicate(snes_solution, &work2);
199:   KSPBuildSolution(ksp, work1, NULL);
200:   VecAYPX(work1, -1.0, snes_solution);
201:   SNESComputeFunction(snes, work1, work2);
202:   VecNorm(work2, NORM_2, &snorm);
203:   VecDestroy(&work1);
204:   VecDestroy(&work2);

206:   PetscViewerPushFormat(viewer, format);
207:   if (!n) {PetscDrawLGReset(lg);}
208:   x[0] = (PetscReal) n;
209:   if (rnorm > 0.0) y[0] = PetscLog10Real(rnorm);
210:   else y[0] = -15.0;
211:   x[1] = (PetscReal) n;
212:   if (snorm > 0.0) y[1] = PetscLog10Real(snorm);
213:   else y[1] = -15.0;
214:   PetscDrawLGAddPoint(lg, x, y);
215:   KSPGetConvergedReason(ksp, &reason);
216:   if (n <= 20 || !(n % 5) || reason) {
217:     PetscDrawLGDraw(lg);
218:     PetscDrawLGSave(lg);
219:   }
220:   PetscViewerPopFormat(viewer);
221:   return(0);
222: }

224: /*@C
225:   KSPMonitorSNESResidualDrawLGCreate - Creates the plotter for the linear SNES residual.

227:   Collective on ksp

229:   Input Parameters:
230: + viewer - The PetscViewer
231: . format - The viewer format
232: - ctx    - An optional user context

234:   Output Parameter:
235: . vf    - The viewer context

237:   Level: intermediate

239: .seealso: KSPMonitorSet(), KSPMonitorTrueResidual()
240: @*/
241: PetscErrorCode KSPMonitorSNESResidualDrawLGCreate(PetscViewer viewer, PetscViewerFormat format, void *ctx, PetscViewerAndFormat **vf)
242: {
243:   const char    *names[] = {"linear", "nonlinear"};

247:   PetscViewerAndFormatCreate(viewer, format, vf);
248:   (*vf)->data = ctx;
249:   KSPMonitorLGCreate(PetscObjectComm((PetscObject) viewer), NULL, NULL, "Log Residual Norm", 2, names, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &(*vf)->lg);
250:   return(0);
251: }

253: /*@C
254:    SNESMonitorDefault - Monitors progress of the SNES solvers (default).

256:    Collective on SNES

258:    Input Parameters:
259: +  snes - the SNES context
260: .  its - iteration number
261: .  fgnorm - 2-norm of residual
262: -  vf - viewer and format structure

264:    Notes:
265:    This routine prints the residual norm at each iteration.

267:    Level: intermediate

269: .seealso: SNESMonitorSet(), SNESMonitorSolution()
270: @*/
271: PetscErrorCode  SNESMonitorDefault(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
272: {
273:   PetscViewer       viewer = vf->viewer;
274:   PetscViewerFormat format = vf->format;
275:   PetscBool         isascii, isdraw;
276:   PetscErrorCode    ierr;

280:   PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &isascii);
281:   PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERDRAW,  &isdraw);
282:   PetscViewerPushFormat(viewer,format);
283:   if (isascii) {
284:     PetscViewerASCIIAddTab(viewer,((PetscObject)snes)->tablevel);
285:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm %14.12e \n",its,(double)fgnorm);
286:     PetscViewerASCIISubtractTab(viewer,((PetscObject)snes)->tablevel);
287:   } else if (isdraw) {
288:     if (format == PETSC_VIEWER_DRAW_LG) {
289:       PetscDrawLG lg = (PetscDrawLG) vf->lg;
290:       PetscReal   x, y;

293:       if (!its) {PetscDrawLGReset(lg);}
294:       x = (PetscReal) its;
295:       if (fgnorm > 0.0) y = PetscLog10Real(fgnorm);
296:       else y = -15.0;
297:       PetscDrawLGAddPoint(lg,&x,&y);
298:       if (its <= 20 || !(its % 5) || snes->reason) {
299:         PetscDrawLGDraw(lg);
300:         PetscDrawLGSave(lg);
301:       }
302:     }
303:   }
304:   PetscViewerPopFormat(viewer);
305:   return(0);
306: }

308: /*@C
309:    SNESMonitorScaling - Monitors the largest value in each row of the Jacobian.

311:    Collective on SNES

313:    Input Parameters:
314: +  snes - the SNES context
315: .  its - iteration number
316: .  fgnorm - 2-norm of residual
317: -  vf - viewer and format structure

319:    Notes:
320:    This routine prints the largest value in each row of the Jacobian

322:    Level: intermediate

324: .seealso: SNESMonitorSet(), SNESMonitorSolution()
325: @*/
326: PetscErrorCode  SNESMonitorScaling(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
327: {
329:   PetscViewer    viewer = vf->viewer;
330:   KSP            ksp;
331:   Mat            J;
332:   Vec            v;

336:   SNESGetKSP(snes,&ksp);
337:   KSPGetOperators(ksp,&J,NULL);
338:   MatCreateVecs(J,&v,NULL);
339:   MatGetRowMaxAbs(J,v,NULL);
340:   PetscViewerPushFormat(viewer,vf->format);
341:   PetscViewerASCIIAddTab(viewer,((PetscObject)snes)->tablevel);
342:   PetscViewerASCIIPrintf(viewer,"%3D SNES Jacobian maximum row entries \n");
343:   VecView(v,viewer);
344:   PetscViewerASCIISubtractTab(viewer,((PetscObject)snes)->tablevel);
345:   PetscViewerPopFormat(viewer);
346:   VecDestroy(&v);
347:   return(0);
348: }

350: PetscErrorCode SNESMonitorJacUpdateSpectrum(SNES snes,PetscInt it,PetscReal fnorm,PetscViewerAndFormat *vf)
351: {
352: #if defined(PETSC_HAVE_ESSL)
353:   SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_SUP,"GEEV - No support for ESSL Lapack Routines");
354: #else
355:   Vec            X;
356:   Mat            J,dJ,dJdense;
358:   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
359:   PetscInt       n;
360:   PetscBLASInt   nb = 0,lwork;
361:   PetscReal      *eigr,*eigi;
362:   PetscScalar    *work;
363:   PetscScalar    *a;

366:   if (it == 0) return(0);
367:   /* create the difference between the current update and the current jacobian */
368:   SNESGetSolution(snes,&X);
369:   SNESGetJacobian(snes,NULL,&J,&func,NULL);
370:   MatDuplicate(J,MAT_COPY_VALUES,&dJ);
371:   SNESComputeJacobian(snes,X,dJ,dJ);
372:   MatAXPY(dJ,-1.0,J,SAME_NONZERO_PATTERN);

374:   /* compute the spectrum directly */
375:   MatConvert(dJ,MATSEQDENSE,MAT_INITIAL_MATRIX,&dJdense);
376:   MatGetSize(dJ,&n,NULL);
377:   PetscBLASIntCast(n,&nb);
378:   lwork = 3*nb;
379:   PetscMalloc1(n,&eigr);
380:   PetscMalloc1(n,&eigi);
381:   PetscMalloc1(lwork,&work);
382:   MatDenseGetArray(dJdense,&a);
383: #if !defined(PETSC_USE_COMPLEX)
384:   {
385:     PetscBLASInt lierr;
386:     PetscInt     i;
387:     PetscFPTrapPush(PETSC_FP_TRAP_OFF);
388:     PetscStackCallBLAS("LAPACKgeev",LAPACKgeev_("N","N",&nb,a,&nb,eigr,eigi,NULL,&nb,NULL,&nb,work,&lwork,&lierr));
389:     if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"geev() error %d",lierr);
390:     PetscFPTrapPop();
391:     PetscPrintf(PetscObjectComm((PetscObject)snes),"Eigenvalues of J_%d - J_%d:\n",it,it-1);
392:     for (i=0;i<n;i++) {
393:       PetscPrintf(PetscObjectComm((PetscObject)snes),"%5d: %20.5g + %20.5gi\n",i,(double)eigr[i],(double)eigi[i]);
394:     }
395:   }
396:   MatDenseRestoreArray(dJdense,&a);
397:   MatDestroy(&dJ);
398:   MatDestroy(&dJdense);
399:   PetscFree(eigr);
400:   PetscFree(eigi);
401:   PetscFree(work);
402:   return(0);
403: #else
404:   SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not coded for complex");
405: #endif
406: #endif
407: }

409: PETSC_INTERN PetscErrorCode  SNESMonitorRange_Private(SNES,PetscInt,PetscReal*);

411: PetscErrorCode  SNESMonitorRange_Private(SNES snes,PetscInt it,PetscReal *per)
412: {
414:   Vec            resid;
415:   PetscReal      rmax,pwork;
416:   PetscInt       i,n,N;
417:   PetscScalar    *r;

420:   SNESGetFunction(snes,&resid,NULL,NULL);
421:   VecNorm(resid,NORM_INFINITY,&rmax);
422:   VecGetLocalSize(resid,&n);
423:   VecGetSize(resid,&N);
424:   VecGetArray(resid,&r);
425:   pwork = 0.0;
426:   for (i=0; i<n; i++) {
427:     pwork += (PetscAbsScalar(r[i]) > .20*rmax);
428:   }
429:   MPIU_Allreduce(&pwork,per,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)snes));
430:   VecRestoreArray(resid,&r);
431:   *per = *per/N;
432:   return(0);
433: }

435: /*@C
436:    SNESMonitorRange - Prints the percentage of residual elements that are more then 10 percent of the maximum value.

438:    Collective on SNES

440:    Input Parameters:
441: +  snes   - iterative context
442: .  it    - iteration number
443: .  rnorm - 2-norm (preconditioned) residual value (may be estimated).
444: -  dummy - unused monitor context

446:    Options Database Key:
447: .  -snes_monitor_range - Activates SNESMonitorRange()

449:    Level: intermediate

451: .seealso: SNESMonitorSet(), SNESMonitorDefault(), SNESMonitorLGCreate()
452: @*/
453: PetscErrorCode  SNESMonitorRange(SNES snes,PetscInt it,PetscReal rnorm,PetscViewerAndFormat *vf)
454: {
456:   PetscReal      perc,rel;
457:   PetscViewer    viewer = vf->viewer;
458:   /* should be in a MonitorRangeContext */
459:   static PetscReal prev;

463:   if (!it) prev = rnorm;
464:   SNESMonitorRange_Private(snes,it,&perc);

466:   rel  = (prev - rnorm)/prev;
467:   prev = rnorm;
468:   PetscViewerPushFormat(viewer,vf->format);
469:   PetscViewerASCIIAddTab(viewer,((PetscObject)snes)->tablevel);
470:   PetscViewerASCIIPrintf(viewer,"%3D SNES preconditioned resid norm %14.12e Percent values above 20 percent of maximum %5.2f relative decrease %5.2e ratio %5.2e \n",it,(double)rnorm,(double)(100.0*perc),(double)rel,(double)(rel/perc));
471:   PetscViewerASCIISubtractTab(viewer,((PetscObject)snes)->tablevel);
472:   PetscViewerPopFormat(viewer);
473:   return(0);
474: }

476: /*@C
477:    SNESMonitorRatio - Monitors progress of the SNES solvers by printing the ratio
478:    of residual norm at each iteration to the previous.

480:    Collective on SNES

482:    Input Parameters:
483: +  snes - the SNES context
484: .  its - iteration number
485: .  fgnorm - 2-norm of residual (or gradient)
486: -  dummy -  context of monitor

488:    Level: intermediate

490:    Notes:
491:     Insure that SNESMonitorRatio() is called when you set this monitor
492: .seealso: SNESMonitorSet(), SNESMonitorSolution(), SNESMonitorRatio()
493: @*/
494: PetscErrorCode  SNESMonitorRatio(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
495: {
496:   PetscErrorCode          ierr;
497:   PetscInt                len;
498:   PetscReal               *history;
499:   PetscViewer             viewer = vf->viewer;

502:   SNESGetConvergenceHistory(snes,&history,NULL,&len);
503:   PetscViewerPushFormat(viewer,vf->format);
504:   PetscViewerASCIIAddTab(viewer,((PetscObject)snes)->tablevel);
505:   if (!its || !history || its > len) {
506:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm %14.12e \n",its,(double)fgnorm);
507:   } else {
508:     PetscReal ratio = fgnorm/history[its-1];
509:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm %14.12e %14.12e \n",its,(double)fgnorm,(double)ratio);
510:   }
511:   PetscViewerASCIISubtractTab(viewer,((PetscObject)snes)->tablevel);
512:   PetscViewerPopFormat(viewer);
513:   return(0);
514: }

516: /*@C
517:    SNESMonitorRatioSetUp - Insures the SNES object is saving its history since this monitor needs access to it

519:    Collective on SNES

521:    Input Parameters:
522: +   snes - the SNES context
523: -   viewer - the PetscViewer object (ignored)

525:    Level: intermediate

527: .seealso: SNESMonitorSet(), SNESMonitorSolution(), SNESMonitorDefault(), SNESMonitorRatio()
528: @*/
529: PetscErrorCode  SNESMonitorRatioSetUp(SNES snes,PetscViewerAndFormat *vf)
530: {
531:   PetscErrorCode          ierr;
532:   PetscReal               *history;

535:   SNESGetConvergenceHistory(snes,&history,NULL,NULL);
536:   if (!history) {
537:     SNESSetConvergenceHistory(snes,NULL,NULL,100,PETSC_TRUE);
538:   }
539:   return(0);
540: }

542: /* ---------------------------------------------------------------- */
543: /*
544:      Default (short) SNES Monitor, same as SNESMonitorDefault() except
545:   it prints fewer digits of the residual as the residual gets smaller.
546:   This is because the later digits are meaningless and are often
547:   different on different machines; by using this routine different
548:   machines will usually generate the same output.

550:   Deprecated: Intentionally has no manual page
551: */
552: PetscErrorCode  SNESMonitorDefaultShort(SNES snes,PetscInt its,PetscReal fgnorm,PetscViewerAndFormat *vf)
553: {
555:   PetscViewer    viewer = vf->viewer;

559:   PetscViewerPushFormat(viewer,vf->format);
560:   PetscViewerASCIIAddTab(viewer,((PetscObject)snes)->tablevel);
561:   if (fgnorm > 1.e-9) {
562:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm %g \n",its,(double)fgnorm);
563:   } else if (fgnorm > 1.e-11) {
564:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm %5.3e \n",its,(double)fgnorm);
565:   } else {
566:     PetscViewerASCIIPrintf(viewer,"%3D SNES Function norm < 1.e-11\n",its);
567:   }
568:   PetscViewerASCIISubtractTab(viewer,((PetscObject)snes)->tablevel);
569:   PetscViewerPopFormat(viewer);
570:   return(0);
571: }

573: /*@C
574:   SNESMonitorDefaultField - Monitors progress of the SNES solvers, separated into fields.

576:   Collective on SNES

578:   Input Parameters:
579: + snes   - the SNES context
580: . its    - iteration number
581: . fgnorm - 2-norm of residual
582: - ctx    - the PetscViewer

584:   Notes:
585:   This routine uses the DM attached to the residual vector

587:   Level: intermediate

589: .seealso: SNESMonitorSet(), SNESMonitorSolution(), SNESMonitorDefault()
590: @*/
591: PetscErrorCode SNESMonitorDefaultField(SNES snes, PetscInt its, PetscReal fgnorm, PetscViewerAndFormat *vf)
592: {
593:   PetscViewer    viewer = vf->viewer;
594:   Vec            r;
595:   DM             dm;
596:   PetscReal      res[256];
597:   PetscInt       tablevel;

602:   SNESGetFunction(snes, &r, NULL, NULL);
603:   VecGetDM(r, &dm);
604:   if (!dm) {SNESMonitorDefault(snes, its, fgnorm, vf);}
605:   else {
606:     PetscSection s, gs;
607:     PetscInt     Nf, f;

609:     DMGetLocalSection(dm, &s);
610:     DMGetGlobalSection(dm, &gs);
611:     if (!s || !gs) {SNESMonitorDefault(snes, its, fgnorm, vf);}
612:     PetscSectionGetNumFields(s, &Nf);
613:     if (Nf > 256) SETERRQ1(PetscObjectComm((PetscObject) snes), PETSC_ERR_SUP, "Do not support %d fields > 256", Nf);
614:     PetscSectionVecNorm(s, gs, r, NORM_2, res);
615:     PetscObjectGetTabLevel((PetscObject) snes, &tablevel);
616:     PetscViewerPushFormat(viewer,vf->format);
617:     PetscViewerASCIIAddTab(viewer, tablevel);
618:     PetscViewerASCIIPrintf(viewer, "%3D SNES Function norm %14.12e [", its, (double) fgnorm);
619:     for (f = 0; f < Nf; ++f) {
620:       if (f) {PetscViewerASCIIPrintf(viewer, ", ");}
621:       PetscViewerASCIIPrintf(viewer, "%14.12e", res[f]);
622:     }
623:     PetscViewerASCIIPrintf(viewer, "] \n");
624:     PetscViewerASCIISubtractTab(viewer, tablevel);
625:     PetscViewerPopFormat(viewer);
626:   }
627:   return(0);
628: }
629: /* ---------------------------------------------------------------- */
630: /*@C
631:    SNESConvergedDefault - Default onvergence test of the solvers for
632:    systems of nonlinear equations.

634:    Collective on SNES

636:    Input Parameters:
637: +  snes - the SNES context
638: .  it - the iteration (0 indicates before any Newton steps)
639: .  xnorm - 2-norm of current iterate
640: .  snorm - 2-norm of current step
641: .  fnorm - 2-norm of function at current iterate
642: -  dummy - unused context

644:    Output Parameter:
645: .   reason  - one of
646: $  SNES_CONVERGED_FNORM_ABS       - (fnorm < abstol),
647: $  SNES_CONVERGED_SNORM_RELATIVE  - (snorm < stol*xnorm),
648: $  SNES_CONVERGED_FNORM_RELATIVE  - (fnorm < rtol*fnorm0),
649: $  SNES_DIVERGED_FUNCTION_COUNT   - (nfct > maxf),
650: $  SNES_DIVERGED_FNORM_NAN        - (fnorm == NaN),
651: $  SNES_CONVERGED_ITERATING       - (otherwise),
652: $  SNES_DIVERGED_DTOL             - (fnorm > divtol*snes->fnorm0)

654:    where
655: +    maxf - maximum number of function evaluations,  set with SNESSetTolerances()
656: .    nfct - number of function evaluations,
657: .    abstol - absolute function norm tolerance, set with SNESSetTolerances()
658: .    rtol - relative function norm tolerance, set with SNESSetTolerances()
659: .    divtol - divergence tolerance, set with SNESSetDivergenceTolerance()
660: -    fnorm0 - 2-norm of the function at the initial solution (initial guess; zeroth iteration)

662:   Options Database Keys:
663: +  -snes_stol - convergence tolerance in terms of the norm  of the change in the solution between steps
664: .  -snes_atol <abstol> - absolute tolerance of residual norm
665: .  -snes_rtol <rtol> - relative decrease in tolerance norm from the initial 2-norm of the solution
666: .  -snes_divergence_tolerance <divtol> - if the residual goes above divtol*rnorm0, exit with divergence
667: .  -snes_max_funcs <max_funcs> - maximum number of function evaluations
668: .  -snes_max_fail <max_fail> - maximum number of line search failures allowed before stopping, default is none
669: -  -snes_max_linear_solve_fail - number of linear solver failures before SNESSolve() stops

671:    Level: intermediate

673: .seealso: SNESSetConvergenceTest(), SNESConvergedSkip(), SNESSetTolerances(), SNESSetDivergenceTolerance()
674: @*/
675: PetscErrorCode  SNESConvergedDefault(SNES snes,PetscInt it,PetscReal xnorm,PetscReal snorm,PetscReal fnorm,SNESConvergedReason *reason,void *dummy)
676: {


683:   *reason = SNES_CONVERGED_ITERATING;

685:   if (!it) {
686:     /* set parameter for default relative tolerance convergence test */
687:     snes->ttol   = fnorm*snes->rtol;
688:     snes->rnorm0 = fnorm;
689:   }
690:   if (PetscIsInfOrNanReal(fnorm)) {
691:     PetscInfo(snes,"Failed to converged, function norm is NaN\n");
692:     *reason = SNES_DIVERGED_FNORM_NAN;
693:   } else if (fnorm < snes->abstol && (it || !snes->forceiteration)) {
694:     PetscInfo2(snes,"Converged due to function norm %14.12e < %14.12e\n",(double)fnorm,(double)snes->abstol);
695:     *reason = SNES_CONVERGED_FNORM_ABS;
696:   } else if (snes->nfuncs >= snes->max_funcs && snes->max_funcs >= 0) {
697:     PetscInfo2(snes,"Exceeded maximum number of function evaluations: %D > %D\n",snes->nfuncs,snes->max_funcs);
698:     *reason = SNES_DIVERGED_FUNCTION_COUNT;
699:   }

701:   if (it && !*reason) {
702:     if (fnorm <= snes->ttol) {
703:       PetscInfo2(snes,"Converged due to function norm %14.12e < %14.12e (relative tolerance)\n",(double)fnorm,(double)snes->ttol);
704:       *reason = SNES_CONVERGED_FNORM_RELATIVE;
705:     } else if (snorm < snes->stol*xnorm) {
706:       PetscInfo3(snes,"Converged due to small update length: %14.12e < %14.12e * %14.12e\n",(double)snorm,(double)snes->stol,(double)xnorm);
707:       *reason = SNES_CONVERGED_SNORM_RELATIVE;
708:     } else if (snes->divtol > 0 && (fnorm > snes->divtol*snes->rnorm0)) {
709:       PetscInfo3(snes,"Diverged due to increase in function norm: %14.12e > %14.12e * %14.12e\n",(double)fnorm,(double)snes->divtol,(double)snes->rnorm0);
710:       *reason = SNES_DIVERGED_DTOL;
711:     }

713:   }
714:   return(0);
715: }

717: /*@C
718:    SNESConvergedSkip - Convergence test for SNES that NEVER returns as
719:    converged, UNLESS the maximum number of iteration have been reached.

721:    Logically Collective on SNES

723:    Input Parameters:
724: +  snes - the SNES context
725: .  it - the iteration (0 indicates before any Newton steps)
726: .  xnorm - 2-norm of current iterate
727: .  snorm - 2-norm of current step
728: .  fnorm - 2-norm of function at current iterate
729: -  dummy - unused context

731:    Output Parameter:
732: .   reason  - SNES_CONVERGED_ITERATING, SNES_CONVERGED_ITS, or SNES_DIVERGED_FNORM_NAN

734:    Notes:
735:    Convergence is then declared after a fixed number of iterations have been used.

737:    Level: advanced

739: .seealso: SNESConvergedDefault(), SNESSetConvergenceTest()
740: @*/
741: PetscErrorCode  SNESConvergedSkip(SNES snes,PetscInt it,PetscReal xnorm,PetscReal snorm,PetscReal fnorm,SNESConvergedReason *reason,void *dummy)
742: {


749:   *reason = SNES_CONVERGED_ITERATING;

751:   if (fnorm != fnorm) {
752:     PetscInfo(snes,"Failed to converged, function norm is NaN\n");
753:     *reason = SNES_DIVERGED_FNORM_NAN;
754:   } else if (it == snes->max_its) {
755:     *reason = SNES_CONVERGED_ITS;
756:   }
757:   return(0);
758: }

760: /*@C
761:   SNESSetWorkVecs - Gets a number of work vectors.

763:   Input Parameters:
764: + snes  - the SNES context
765: - nw - number of work vectors to allocate

767:   Level: developer

769: @*/
770: PetscErrorCode SNESSetWorkVecs(SNES snes,PetscInt nw)
771: {
772:   DM             dm;
773:   Vec            v;

777:   if (snes->work) {VecDestroyVecs(snes->nwork,&snes->work);}
778:   snes->nwork = nw;

780:   SNESGetDM(snes, &dm);
781:   DMGetGlobalVector(dm, &v);
782:   VecDuplicateVecs(v,snes->nwork,&snes->work);
783:   DMRestoreGlobalVector(dm, &v);
784:   PetscLogObjectParents(snes,nw,snes->work);
785:   return(0);
786: }