xref: /petsc/src/snes/linesearch/interface/linesearch.c (revision 8aa97da3a1ae4645f66a081d05f8fa255a9b5d19)
1 #include <petsc-private/linesearchimpl.h> /*I "petscsnes.h" I*/
2 
3 PetscBool  SNESLineSearchRegisterAllCalled = PETSC_FALSE;
4 PetscFList SNESLineSearchList              = PETSC_NULL;
5 
6 PetscClassId   SNESLINESEARCH_CLASSID;
7 PetscLogEvent  SNESLineSearch_Apply;
8 
9 #undef __FUNCT__
10 #define __FUNCT__ "SNESLineSearchCreate"
11 /*@
12    SNESLineSearchCreate - Creates the line search context.
13 
14    Logically Collective on Comm
15 
16    Input Parameters:
17 .  comm - MPI communicator for the line search (typically from the associated SNES context).
18 
19    Output Parameters:
20 .  outlinesearch - the new linesearch context
21 
22    Level: beginner
23 
24 .keywords: LineSearch, create, context
25 
26 .seealso: LineSearchDestroy()
27 @*/
28 
29 PetscErrorCode SNESLineSearchCreate(MPI_Comm comm, SNESLineSearch *outlinesearch) {
30   PetscErrorCode      ierr;
31   SNESLineSearch     linesearch;
32   PetscFunctionBegin;
33   PetscValidPointer(outlinesearch,2);
34   *outlinesearch = PETSC_NULL;
35   ierr = PetscHeaderCreate(linesearch,_p_LineSearch,struct _LineSearchOps,SNESLINESEARCH_CLASSID, 0,
36                            "SNESLineSearch","Line-search method","SNESLineSearch",comm,SNESLineSearchDestroy,SNESLineSearchView);CHKERRQ(ierr);
37 
38   linesearch->ops->precheckstep = PETSC_NULL;
39   linesearch->ops->postcheckstep = PETSC_NULL;
40 
41   linesearch->vec_sol_new   = PETSC_NULL;
42   linesearch->vec_func_new  = PETSC_NULL;
43   linesearch->vec_sol       = PETSC_NULL;
44   linesearch->vec_func      = PETSC_NULL;
45   linesearch->vec_update    = PETSC_NULL;
46 
47   linesearch->lambda        = 1.0;
48   linesearch->fnorm         = 1.0;
49   linesearch->ynorm         = 1.0;
50   linesearch->xnorm         = 1.0;
51   linesearch->success       = PETSC_TRUE;
52   linesearch->norms         = PETSC_TRUE;
53   linesearch->keeplambda    = PETSC_FALSE;
54   linesearch->damping       = 1.0;
55   linesearch->maxstep       = 1e8;
56   linesearch->steptol       = 1e-12;
57   linesearch->rtol          = 1e-8;
58   linesearch->atol          = 1e-15;
59   linesearch->ltol          = 1e-8;
60   linesearch->precheckctx   = PETSC_NULL;
61   linesearch->postcheckctx  = PETSC_NULL;
62   linesearch->max_its       = 1;
63   linesearch->setupcalled   = PETSC_FALSE;
64   *outlinesearch            = linesearch;
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "SNESLineSearchSetUp"
70 /*@
71    SNESLineSearchSetUp - Prepares the line search for being applied by allocating
72    any required vectors.
73 
74    Collective on SNESLineSearch
75 
76    Input Parameters:
77 .  linesearch - The LineSearch instance.
78 
79    Notes:
80    For most cases, this needn't be called outside of SNESLineSearchApply().
81    The only current case where this is called outside of this is for the VI
82    solvers, which modify the solution and work vectors before the first call
83    of SNESLineSearchApply, requiring the SNESLineSearch work vectors to be
84    allocated upfront.
85 
86 
87    Level: advanced
88 
89 .keywords: SNESLineSearch, SetUp
90 
91 .seealso: SNESLineSearchReset()
92 @*/
93 
94 PetscErrorCode SNESLineSearchSetUp(SNESLineSearch linesearch) {
95   PetscErrorCode ierr;
96   PetscFunctionBegin;
97   if (!((PetscObject)linesearch)->type_name) {
98     ierr = SNESLineSearchSetType(linesearch,SNESLINESEARCHBASIC);CHKERRQ(ierr);
99   }
100   if (!linesearch->setupcalled) {
101     if (!linesearch->vec_sol_new) {
102       ierr = VecDuplicate(linesearch->vec_sol, &linesearch->vec_sol_new);CHKERRQ(ierr);
103     }
104     if (!linesearch->vec_func_new) {
105       ierr = VecDuplicate(linesearch->vec_sol, &linesearch->vec_func_new);CHKERRQ(ierr);
106     }
107     if (linesearch->ops->setup) {
108       ierr = (*linesearch->ops->setup)(linesearch);CHKERRQ(ierr);
109     }
110     linesearch->lambda = linesearch->damping;
111     linesearch->setupcalled = PETSC_TRUE;
112   }
113   PetscFunctionReturn(0);
114 }
115 
116 #undef __FUNCT__
117 #define __FUNCT__ "SNESLineSearchReset"
118 
119 /*@
120    SNESLineSearchReset - Undoes the SetUp and deletes any Vecs or Mats allocated by the line search.
121 
122    Collective on SNESLineSearch
123 
124    Input Parameters:
125 .  linesearch - The LineSearch instance.
126 
127    Level: intermediate
128 
129 .keywords: SNESLineSearch, Reset
130 
131 .seealso: SNESLineSearchSetUp()
132 @*/
133 
134 PetscErrorCode SNESLineSearchReset(SNESLineSearch linesearch) {
135   PetscErrorCode ierr;
136   PetscFunctionBegin;
137   if (linesearch->ops->reset) {
138     (*linesearch->ops->reset)(linesearch);
139   }
140   ierr = VecDestroy(&linesearch->vec_sol_new);CHKERRQ(ierr);
141   ierr = VecDestroy(&linesearch->vec_func_new);CHKERRQ(ierr);
142 
143   ierr = VecDestroyVecs(linesearch->nwork, &linesearch->work);CHKERRQ(ierr);
144   linesearch->nwork = 0;
145   linesearch->setupcalled = PETSC_FALSE;
146   PetscFunctionReturn(0);
147 }
148 
149 
150 #undef __FUNCT__
151 #define __FUNCT__ "SNESLineSearchSetPreCheck"
152 /*@C
153    SNESLineSearchSetPreCheck - Sets a pre-check function for the line search routine.
154 
155    Logically Collective on SNESLineSearch
156 
157    Input Parameters:
158 +  linesearch - the SNESLineSearch context
159 .  func       - [optional] function evaluation routine
160 -  ctx        - [optional] user-defined context for private data for the
161                 function evaluation routine (may be PETSC_NULL)
162 
163    Calling sequence of func:
164 $    func (SNESLineSearch snes,Vec x,Vec y, PetscBool *changed);
165 
166 +  x - solution vector
167 .  y - search direction vector
168 -  changed - flag to indicate the precheck changed x or y.
169 
170    Level: intermediate
171 
172 .keywords: set, linesearch, pre-check
173 
174 .seealso: SNESLineSearchSetPostCheck()
175 @*/
176 PetscErrorCode  SNESLineSearchSetPreCheck(SNESLineSearch linesearch, SNESLineSearchPreCheckFunc func,void *ctx)
177 {
178   PetscFunctionBegin;
179   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
180   if (func) linesearch->ops->precheckstep = func;
181   if (ctx) linesearch->precheckctx = ctx;
182   PetscFunctionReturn(0);
183 }
184 
185 
186 #undef __FUNCT__
187 #define __FUNCT__ "SNESLineSearchGetPreCheck"
188 /*@C
189    SNESLineSearchSetPreCheck - Gets the pre-check function for the line search routine.
190 
191    Input Parameters:
192 .  linesearch - the SNESLineSearch context
193 
194    Output Parameters:
195 +  func       - [optional] function evaluation routine
196 -  ctx        - [optional] user-defined context for private data for the
197                 function evaluation routine (may be PETSC_NULL)
198 
199    Level: intermediate
200 
201 .keywords: get, linesearch, pre-check
202 
203 .seealso: SNESLineSearchGetPostCheck(), SNESLineSearchSetPreCheck()
204 @*/
205 PetscErrorCode  SNESLineSearchGetPreCheck(SNESLineSearch linesearch, SNESLineSearchPreCheckFunc *func,void **ctx)
206 {
207   PetscFunctionBegin;
208   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
209   if (func) *func = linesearch->ops->precheckstep;
210   if (ctx) *ctx = linesearch->precheckctx;
211   PetscFunctionReturn(0);
212 }
213 
214 
215 #undef __FUNCT__
216 #define __FUNCT__ "SNESLineSearchSetPostCheck"
217 /*@C
218    SNESLineSearchSetPostCheck - Sets a post-check function for the line search routine.
219 
220    Logically Collective on SNESLineSearch
221 
222    Input Parameters:
223 +  linesearch - the SNESLineSearch context
224 .  func       - [optional] function evaluation routine
225 -  ctx        - [optional] user-defined context for private data for the
226                 function evaluation routine (may be PETSC_NULL)
227 
228    Calling sequence of func:
229 $    func (SNESLineSearch linesearch,Vec x, Vec w, Vec y, PetscBool *changed_w, *changed_y);
230 
231 +  x - old solution vector
232 .  y - search direction vector
233 .  w - new solution vector
234 .  changed_y - indicates that the line search changed y
235 .  changed_w - indicates that the line search changed w
236 
237    Level: intermediate
238 
239 .keywords: set, linesearch, post-check
240 
241 .seealso: SNESLineSearchSetPreCheck()
242 @*/
243 PetscErrorCode  SNESLineSearchSetPostCheck(SNESLineSearch linesearch, SNESLineSearchPostCheckFunc func,void *ctx)
244 {
245   PetscFunctionBegin;
246   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
247   if (func) linesearch->ops->postcheckstep = func;
248   if (ctx) linesearch->postcheckctx = ctx;
249   PetscFunctionReturn(0);
250 }
251 
252 
253 #undef __FUNCT__
254 #define __FUNCT__ "SNESLineSearchGetPostCheck"
255 /*@C
256    SNESLineSearchGetPostCheck - Gets the post-check function for the line search routine.
257 
258    Input Parameters:
259 .  linesearch - the SNESLineSearch context
260 
261    Output Parameters:
262 +  func       - [optional] function evaluation routine
263 -  ctx        - [optional] user-defined context for private data for the
264                 function evaluation routine (may be PETSC_NULL)
265 
266    Level: intermediate
267 
268 .keywords: get, linesearch, post-check
269 
270 .seealso: SNESLineSearchGetPreCheck(), SNESLineSearchSetPostCheck()
271 @*/
272 PetscErrorCode  SNESLineSearchGetPostCheck(SNESLineSearch linesearch, SNESLineSearchPostCheckFunc *func,void **ctx)
273 {
274   PetscFunctionBegin;
275   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
276   if (func) *func = linesearch->ops->postcheckstep;
277   if (ctx) *ctx = linesearch->postcheckctx;
278   PetscFunctionReturn(0);
279 }
280 
281 
282 #undef __FUNCT__
283 #define __FUNCT__ "SNESLineSearchPreCheck"
284 /*@
285    SNESLineSearchPreCheck - Prepares the line search for being applied.
286 
287    Logically Collective on SNESLineSearch
288 
289    Input Parameters:
290 .  linesearch - The linesearch instance.
291 
292    Output Parameters:
293 .  changed - Indicator that the precheck routine has changed anything
294 
295    Level: Beginner
296 
297 .keywords: SNESLineSearch, Create
298 
299 .seealso: SNESLineSearchPostCheck()
300 @*/
301 PetscErrorCode SNESLineSearchPreCheck(SNESLineSearch linesearch, PetscBool * changed)
302 {
303   PetscErrorCode ierr;
304   PetscFunctionBegin;
305   *changed = PETSC_FALSE;
306   if (linesearch->ops->precheckstep) {
307     ierr = (*linesearch->ops->precheckstep)(linesearch, linesearch->vec_sol, linesearch->vec_update, changed, linesearch->precheckctx);CHKERRQ(ierr);
308   }
309   PetscFunctionReturn(0);
310 }
311 
312 #undef __FUNCT__
313 #define __FUNCT__ "SNESLineSearchPostCheck"
314 /*@
315    SNESLineSearchPostCheck - Prepares the line search for being applied.
316 
317    Logically Collective on SNESLineSearch
318 
319    Input Parameters:
320 .  linesearch - The linesearch context
321 
322    Output Parameters:
323 +  changed_Y - Indicator if the direction Y has been changed.
324 -  changed_W - Indicator if the new candidate solution W has been changed.
325 
326    Level: Intermediate
327 
328 .keywords: SNESLineSearch, Create
329 
330 .seealso: SNESLineSearchPreCheck()
331 @*/
332 PetscErrorCode SNESLineSearchPostCheck(SNESLineSearch linesearch, PetscBool * changed_Y, PetscBool * changed_W)
333 {
334   PetscErrorCode ierr;
335   PetscFunctionBegin;
336   *changed_Y = PETSC_FALSE;
337   *changed_W = PETSC_FALSE;
338   if (linesearch->ops->postcheckstep) {
339     ierr = (*linesearch->ops->postcheckstep)(linesearch, linesearch->vec_sol, linesearch->vec_update, linesearch->vec_sol_new, changed_Y, changed_W, linesearch->postcheckctx);CHKERRQ(ierr);
340   }
341   PetscFunctionReturn(0);
342 }
343 
344 
345 #undef __FUNCT__
346 #define __FUNCT__ "SNESLineSearchPreCheckPicard"
347 /*@C
348    SNESLineSearchPreCheckPicard - Implements a correction that is sometimes useful to improve the convergence rate of Picard iteration
349 
350    Logically Collective on SNESLineSearch
351 
352    Input Arguments:
353 +  linesearch - linesearch context
354 .  X - base state for this step
355 .  Y - initial correction
356 
357    Output Arguments:
358 +  Y - correction, possibly modified
359 -  changed - flag indicating that Y was modified
360 
361    Options Database Key:
362 +  -snes_linesearch_precheck_picard - activate this routine
363 -  -snes_linesearch_precheck_picard_angle - angle
364 
365    Level: advanced
366 
367    Notes:
368    This function should be passed to SNESLineSearchSetPreCheck()
369 
370    The justification for this method involves the linear convergence of a Picard iteration
371    so the Picard linearization should be provided in place of the "Jacobian". This correction
372    is generally not useful when using a Newton linearization.
373 
374    Reference:
375    Hindmarsh and Payne (1996) Time step limits for stable solutions of the ice sheet equation, Annals of Glaciology.
376 
377 .seealso: SNESLineSearchSetPreCheck()
378 @*/
379 PetscErrorCode SNESLineSearchPreCheckPicard(SNESLineSearch linesearch,Vec X,Vec Y,PetscBool *changed,void *ctx)
380 {
381   PetscErrorCode ierr;
382   PetscReal      angle = *(PetscReal*)linesearch->precheckctx;
383   Vec            Ylast;
384   PetscScalar    dot;
385 
386   PetscInt       iter;
387   PetscReal      ynorm,ylastnorm,theta,angle_radians;
388   SNES           snes;
389 
390   PetscFunctionBegin;
391   ierr = SNESLineSearchGetSNES(linesearch, &snes);CHKERRQ(ierr);
392   ierr = PetscObjectQuery((PetscObject)snes,"SNESLineSearchPreCheckPicard_Ylast",(PetscObject*)&Ylast);CHKERRQ(ierr);
393   if (!Ylast) {
394     ierr = VecDuplicate(Y,&Ylast);CHKERRQ(ierr);
395     ierr = PetscObjectCompose((PetscObject)snes,"SNESLineSearchPreCheckPicard_Ylast",(PetscObject)Ylast);CHKERRQ(ierr);
396     ierr = PetscObjectDereference((PetscObject)Ylast);CHKERRQ(ierr);
397   }
398   ierr = SNESGetIterationNumber(snes,&iter);CHKERRQ(ierr);
399   if (iter < 2) {
400     ierr = VecCopy(Y,Ylast);CHKERRQ(ierr);
401     *changed = PETSC_FALSE;
402     PetscFunctionReturn(0);
403   }
404 
405   ierr = VecDot(Y,Ylast,&dot);CHKERRQ(ierr);
406   ierr = VecNorm(Y,NORM_2,&ynorm);CHKERRQ(ierr);
407   ierr = VecNorm(Ylast,NORM_2,&ylastnorm);CHKERRQ(ierr);
408   /* Compute the angle between the vectors Y and Ylast, clip to keep inside the domain of acos() */
409   theta = acos((double)PetscClipInterval(PetscAbsScalar(dot) / (ynorm * ylastnorm),-1.0,1.0));
410   angle_radians = angle * PETSC_PI / 180.;
411   if (PetscAbsReal(theta) < angle_radians || PetscAbsReal(theta - PETSC_PI) < angle_radians) {
412     /* Modify the step Y */
413     PetscReal alpha,ydiffnorm;
414     ierr = VecAXPY(Ylast,-1.0,Y);CHKERRQ(ierr);
415     ierr = VecNorm(Ylast,NORM_2,&ydiffnorm);CHKERRQ(ierr);
416     alpha = ylastnorm / ydiffnorm;
417     ierr = VecCopy(Y,Ylast);CHKERRQ(ierr);
418     ierr = VecScale(Y,alpha);CHKERRQ(ierr);
419     ierr = PetscInfo3(snes,"Angle %G degrees less than threshold %G, corrected step by alpha=%G\n",theta*180./PETSC_PI,angle,alpha);CHKERRQ(ierr);
420   } else {
421     ierr = PetscInfo2(snes,"Angle %G degrees exceeds threshold %G, no correction applied\n",theta*180./PETSC_PI,angle);CHKERRQ(ierr);
422     ierr = VecCopy(Y,Ylast);CHKERRQ(ierr);
423     *changed = PETSC_FALSE;
424   }
425   PetscFunctionReturn(0);
426 }
427 
428 #undef __FUNCT__
429 #define __FUNCT__ "SNESLineSearchApply"
430 /*@
431    SNESLineSearchApply - Computes the line-search update.
432 
433    Collective on SNESLineSearch
434 
435    Input Parameters:
436 +  linesearch - The linesearch context
437 .  X - The current solution
438 .  F - The current function
439 .  fnorm - The current norm
440 -  Y - The search direction
441 
442    Output Parameters:
443 +  X - The new solution
444 .  F - The new function
445 -  fnorm - The new function norm
446 
447    Options Database Keys:
448 + -snes_linesearch_type - The Line search method
449 . -snes_linesearch_monitor - Print progress of line searches
450 . -snes_linesearch_damping - The linesearch damping parameter.
451 . -snes_linesearch_norms   - Turn on/off the linesearch norms
452 . -snes_linesearch_keeplambda - Keep the previous search length as the initial guess.
453 - -snes_linesearch_max_it - The number of iterations for iterative line searches.
454 
455    Notes:
456    This is typically called from within a SNESSolve() implementation in order to
457    help with convergence of the nonlinear method.  Various SNES types use line searches
458    in different ways, but the overarching theme is that a line search is used to determine
459    an optimal damping parameter of a step at each iteration of the method.  Each
460    application of the line search may invoke SNESComputeFunction several times, and
461    therefore may be fairly expensive.
462 
463    Level: Intermediate
464 
465 .keywords: SNESLineSearch, Create
466 
467 .seealso: SNESLineSearchCreate(), SNESLineSearchPreCheck(), SNESLineSearchPostCheck(), SNESSolve(), SNESComputeFunction()
468 @*/
469 PetscErrorCode SNESLineSearchApply(SNESLineSearch linesearch, Vec X, Vec F, PetscReal * fnorm, Vec Y) {
470   PetscErrorCode ierr;
471   PetscFunctionBegin;
472 
473   /* check the pointers */
474   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
475   PetscValidHeaderSpecific(X,VEC_CLASSID,2);
476   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
477   PetscValidHeaderSpecific(Y,VEC_CLASSID,4);
478 
479   linesearch->success = PETSC_TRUE;
480 
481   linesearch->vec_sol = X;
482   linesearch->vec_update = Y;
483   linesearch->vec_func = F;
484 
485   ierr = SNESLineSearchSetUp(linesearch);CHKERRQ(ierr);
486 
487   if (!linesearch->keeplambda)
488     linesearch->lambda = linesearch->damping; /* set the initial guess to lambda */
489 
490   if (fnorm) {
491     linesearch->fnorm = *fnorm;
492   } else {
493     ierr = VecNorm(F, NORM_2, &linesearch->fnorm);CHKERRQ(ierr);
494   }
495 
496   ierr = PetscLogEventBegin(SNESLineSearch_Apply,linesearch,X,F,Y);CHKERRQ(ierr);
497 
498   ierr = (*linesearch->ops->apply)(linesearch);CHKERRQ(ierr);
499 
500   ierr = PetscLogEventEnd(SNESLineSearch_Apply,linesearch,X,F,Y);CHKERRQ(ierr);
501 
502   if (fnorm)
503     *fnorm = linesearch->fnorm;
504   PetscFunctionReturn(0);
505 }
506 
507 #undef __FUNCT__
508 #define __FUNCT__ "SNESLineSearchDestroy"
509 /*@
510    SNESLineSearchDestroy - Destroys the line search instance.
511 
512    Collective on SNESLineSearch
513 
514    Input Parameters:
515 .  linesearch - The linesearch context
516 
517    Level: Intermediate
518 
519 .keywords: SNESLineSearch, Destroy
520 
521 .seealso: SNESLineSearchCreate(), SNESLineSearchReset(), SNESDestroy()
522 @*/
523 PetscErrorCode SNESLineSearchDestroy(SNESLineSearch * linesearch) {
524   PetscErrorCode ierr;
525   PetscFunctionBegin;
526   if (!*linesearch) PetscFunctionReturn(0);
527   PetscValidHeaderSpecific((*linesearch),SNESLINESEARCH_CLASSID,1);
528   if (--((PetscObject)(*linesearch))->refct > 0) {*linesearch = 0; PetscFunctionReturn(0);}
529   ierr = PetscObjectDepublish((*linesearch));CHKERRQ(ierr);
530   ierr = SNESLineSearchReset(*linesearch);
531   if ((*linesearch)->ops->destroy) {
532     (*linesearch)->ops->destroy(*linesearch);
533   }
534   ierr = PetscViewerDestroy(&(*linesearch)->monitor);CHKERRQ(ierr);
535   ierr = PetscHeaderDestroy(linesearch);CHKERRQ(ierr);
536   PetscFunctionReturn(0);
537 }
538 
539 #undef __FUNCT__
540 #define __FUNCT__ "SNESLineSearchSetMonitor"
541 /*@
542    SNESLineSearchSetMonitor - Turns on/off printing useful information and debugging output about the line search.
543 
544    Input Parameters:
545 +  snes - nonlinear context obtained from SNESCreate()
546 -  flg - PETSC_TRUE to monitor the line search
547 
548    Logically Collective on SNES
549 
550    Options Database:
551 .   -snes_linesearch_monitor - enables the monitor
552 
553    Level: intermediate
554 
555 
556 .seealso: SNESLineSearchGetMonitor(), PetscViewer
557 @*/
558 PetscErrorCode  SNESLineSearchSetMonitor(SNESLineSearch linesearch, PetscBool flg)
559 {
560 
561   PetscErrorCode ierr;
562   PetscFunctionBegin;
563   if (flg && !linesearch->monitor) {
564     ierr = PetscViewerASCIIOpen(((PetscObject)linesearch)->comm,"stdout",&linesearch->monitor);CHKERRQ(ierr);
565   } else if (!flg && linesearch->monitor) {
566     ierr = PetscViewerDestroy(&linesearch->monitor);CHKERRQ(ierr);
567   }
568   PetscFunctionReturn(0);
569 }
570 
571 #undef __FUNCT__
572 #define __FUNCT__ "SNESLineSearchGetMonitor"
573 /*@
574    SNESLineSearchGetMonitor - Gets the PetscViewer instance for the line search monitor.
575 
576    Input Parameters:
577 .  linesearch - linesearch context
578 
579    Input Parameters:
580 .  monitor - monitor context
581 
582    Logically Collective on SNES
583 
584 
585    Options Database Keys:
586 .   -snes_linesearch_monitor - enables the monitor
587 
588    Level: intermediate
589 
590 
591 .seealso: SNESLineSearchSetMonitor(), PetscViewer
592 @*/
593 PetscErrorCode  SNESLineSearchGetMonitor(SNESLineSearch linesearch, PetscViewer *monitor)
594 {
595 
596   PetscFunctionBegin;
597   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
598   if (monitor) {
599     PetscValidPointer(monitor, 2);
600     *monitor = linesearch->monitor;
601   }
602   PetscFunctionReturn(0);
603 }
604 
605 #undef __FUNCT__
606 #define __FUNCT__ "SNESLineSearchSetFromOptions"
607 /*@
608    SNESLineSearchSetFromOptions - Sets options for the line search
609 
610    Input Parameters:
611 .  linesearch - linesearch context
612 
613    Options Database Keys:
614 + -snes_linesearch_type - The Line search method
615 . -snes_linesearch_minlambda - The minimum step length
616 . -snes_linesearch_maxstep - The maximum step size
617 . -snes_linesearch_rtol - Relative tolerance for iterative line searches
618 . -snes_linesearch_atol - Absolute tolerance for iterative line searches
619 . -snes_linesearch_ltol - Change in lambda tolerance for iterative line searches
620 . -snes_linesearch_max_it - The number of iterations for iterative line searches
621 . -snes_linesearch_monitor - Print progress of line searches
622 . -snes_linesearch_damping - The linesearch damping parameter
623 . -snes_linesearch_norms   - Turn on/off the linesearch norms
624 . -snes_linesearch_keeplambda - Keep the previous search length as the initial guess.
625 . -snes_linesearch_order - The polynomial order of approximation used in the linesearch
626 . -snes_linesearch_precheck_picard - Use precheck that speeds up convergence of picard method
627 - -snes_linesearch_precheck_picard_angle - Angle used in picard precheck method
628 
629    Logically Collective on SNESLineSearch
630 
631    Level: intermediate
632 
633 
634 .seealso: SNESLineSearchCreate()
635 @*/
636 PetscErrorCode SNESLineSearchSetFromOptions(SNESLineSearch linesearch) {
637   PetscErrorCode ierr;
638   const char       *orders[] = {"linear", "quadratic", "cubic"};
639   PetscInt         indx = 0;
640   const char     *deft = SNESLINESEARCHBASIC;
641   char           type[256];
642   PetscBool      flg, set;
643   PetscFunctionBegin;
644   if (!SNESLineSearchRegisterAllCalled) {ierr = SNESLineSearchRegisterAll(PETSC_NULL);CHKERRQ(ierr);}
645 
646   ierr = PetscObjectOptionsBegin((PetscObject)linesearch);CHKERRQ(ierr);
647   if (((PetscObject)linesearch)->type_name) {
648     deft = ((PetscObject)linesearch)->type_name;
649   }
650   ierr = PetscOptionsList("-snes_linesearch_type","Line-search method","SNESLineSearchSetType",SNESLineSearchList,deft,type,256,&flg);CHKERRQ(ierr);
651   if (flg) {
652     ierr = SNESLineSearchSetType(linesearch,type);CHKERRQ(ierr);
653   } else if (!((PetscObject)linesearch)->type_name) {
654     ierr = SNESLineSearchSetType(linesearch,deft);CHKERRQ(ierr);
655   }
656   if (linesearch->ops->setfromoptions) {
657     (*linesearch->ops->setfromoptions)(linesearch);CHKERRQ(ierr);
658   }
659 
660   ierr = PetscOptionsBool("-snes_linesearch_monitor","Print progress of line searches","SNESSNESLineSearchSetMonitor",
661                           linesearch->monitor ? PETSC_TRUE : PETSC_FALSE,&flg,&set);CHKERRQ(ierr);
662   if (set) {ierr = SNESLineSearchSetMonitor(linesearch,flg);CHKERRQ(ierr);}
663 
664   /* tolerances */
665   ierr = PetscOptionsReal("-snes_linesearch_minlambda","Minimum step length","SNESLineSearchSetTolerances",linesearch->steptol,&linesearch->steptol,0);CHKERRQ(ierr);
666   ierr = PetscOptionsReal("-snes_linesearch_maxstep","Maximum step size","SNESLineSearchSetTolerances",linesearch->maxstep,&linesearch->maxstep,0);CHKERRQ(ierr);
667   ierr = PetscOptionsReal("-snes_linesearch_rtol","Relative tolerance for iterative line search","SNESLineSearchSetTolerances",linesearch->rtol,&linesearch->rtol,0);CHKERRQ(ierr);
668   ierr = PetscOptionsReal("-snes_linesearch_atol","Absolute tolerance for iterative line search","SNESLineSearchSetTolerances",linesearch->atol,&linesearch->atol,0);CHKERRQ(ierr);
669   ierr = PetscOptionsReal("-snes_linesearch_ltol","Change in lambda tolerance for iterative line search","SNESLineSearchSetTolerances",linesearch->ltol,&linesearch->ltol,0);CHKERRQ(ierr);
670   ierr = PetscOptionsInt("-snes_linesearch_max_it","Maximum iterations for iterative line searches","SNESLineSearchSetTolerances",linesearch->max_its,&linesearch->max_its,0);CHKERRQ(ierr);
671 
672   /* damping parameters */
673   ierr = PetscOptionsReal("-snes_linesearch_damping","Line search damping and initial step guess","SNESLineSearchSetDamping",linesearch->damping,&linesearch->damping,0);CHKERRQ(ierr);
674 
675   ierr = PetscOptionsBool("-snes_linesearch_keeplambda","Use previous lambda as damping","SNESLineSearchSetKeepLambda",linesearch->keeplambda,&linesearch->keeplambda,0);CHKERRQ(ierr);
676 
677   /* precheck */
678   ierr = PetscOptionsBool("-snes_linesearch_precheck_picard","Use a correction that sometimes improves convergence of Picard iteration","SNESLineSearchPreCheckPicard",flg,&flg,&set);CHKERRQ(ierr);
679   if (set) {
680     if (flg) {
681       linesearch->precheck_picard_angle = 10.; /* correction only active if angle is less than 10 degrees */
682       ierr = PetscOptionsReal("-snes_linesearch_precheck_picard_angle","Maximum angle at which to activate the correction",
683                               "none",linesearch->precheck_picard_angle,&linesearch->precheck_picard_angle,PETSC_NULL);CHKERRQ(ierr);
684       ierr = SNESLineSearchSetPreCheck(linesearch,SNESLineSearchPreCheckPicard,&linesearch->precheck_picard_angle);CHKERRQ(ierr);
685     } else {
686       ierr = SNESLineSearchSetPreCheck(linesearch,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
687     }
688   }
689 
690   ierr = PetscOptionsEList("-snes_linesearch_order",  "Order of approximation", "SNESLineSearchSetOrder", orders,3,orders[(PetscInt)linesearch->order],&indx,&flg);CHKERRQ(ierr);
691   if (flg) {
692     switch (indx) {
693     case 0: linesearch->order = SNES_LINESEARCH_LINEAR;
694       break;
695     case 1: linesearch->order = SNES_LINESEARCH_QUADRATIC;
696       break;
697     case 2: linesearch->order = SNES_LINESEARCH_CUBIC;
698       break;
699     }
700   }
701 
702   ierr = PetscOptionsBool("-snes_linesearch_norms","Compute final norms in line search","SNESLineSearchSetComputeNorms",linesearch->norms,&linesearch->norms,0);CHKERRQ(ierr);
703 
704   ierr = PetscObjectProcessOptionsHandlers((PetscObject)linesearch);CHKERRQ(ierr);
705   ierr = PetscOptionsEnd();CHKERRQ(ierr);
706   PetscFunctionReturn(0);
707 }
708 
709 #undef __FUNCT__
710 #define __FUNCT__ "SNESLineSearchView"
711 /*@
712    SNESLineSearchView - Prints useful information about the line search not
713    related to an individual call.
714 
715    Input Parameters:
716 .  linesearch - linesearch context
717 
718    Logically Collective on SNESLineSearch
719 
720    Level: intermediate
721 
722 .seealso: SNESLineSearchCreate()
723 @*/
724 PetscErrorCode SNESLineSearchView(SNESLineSearch linesearch, PetscViewer viewer) {
725   PetscErrorCode ierr;
726   PetscBool      iascii;
727   PetscFunctionBegin;
728   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
729   if (!viewer) {
730     ierr = PetscViewerASCIIGetStdout(((PetscObject)linesearch)->comm,&viewer);CHKERRQ(ierr);
731   }
732   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
733   PetscCheckSameComm(linesearch,1,viewer,2);
734 
735   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
736   if (iascii) {
737     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)linesearch,viewer,"SNESLineSearch Object");CHKERRQ(ierr);
738     if (linesearch->ops->view) {
739       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
740       ierr = (*linesearch->ops->view)(linesearch,viewer);CHKERRQ(ierr);
741       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
742     }
743     ierr = PetscViewerASCIIPrintf(viewer,"  maxstep=%G, minlambda=%G\n", linesearch->maxstep,linesearch->steptol);CHKERRQ(ierr);
744     ierr = PetscViewerASCIIPrintf(viewer,"  tolerances: relative=%G, absolute=%G, lambda=%G\n", linesearch->rtol,linesearch->atol,linesearch->ltol);CHKERRQ(ierr);
745     ierr = PetscViewerASCIIPrintf(viewer,"  maximum iterations=%D\n", linesearch->max_its);CHKERRQ(ierr);
746     if (linesearch->ops->precheckstep) {
747       if (linesearch->ops->precheckstep == SNESLineSearchPreCheckPicard) {
748         ierr = PetscViewerASCIIPrintf(viewer,"  using precheck step to speed up Picard convergence\n", linesearch->max_its);CHKERRQ(ierr);
749       } else {
750         ierr = PetscViewerASCIIPrintf(viewer,"  using user-defined precheck step\n", linesearch->max_its);CHKERRQ(ierr);
751       }
752     }
753     if (linesearch->ops->postcheckstep) {
754       ierr = PetscViewerASCIIPrintf(viewer,"  using user-defined postcheck step\n", linesearch->max_its);CHKERRQ(ierr);
755     }
756   }
757   PetscFunctionReturn(0);
758 }
759 
760 #undef __FUNCT__
761 #define __FUNCT__ "SNESLineSearchSetType"
762 /*@C
763    SNESLineSearchSetType - Sets the linesearch type
764 
765    Input Parameters:
766 +  linesearch - linesearch context
767 -  type - The type of line search to be used
768 
769    Available Types:
770 +  basic - Simple damping line search.
771 .  bt - Backtracking line search over the L2 norm of the function
772 .  l2 - Secant line search over the L2 norm of the function
773 .  cp - Critical point secant line search assuming F(x) = grad G(x) for some unknown G(x)
774 -  shell - User provided SNESLineSearch implementation
775 
776    Logically Collective on SNESLineSearch
777 
778    Level: intermediate
779 
780 
781 .seealso: SNESLineSearchCreate()
782 @*/
783 PetscErrorCode SNESLineSearchSetType(SNESLineSearch linesearch, const SNESLineSearchType type)
784 {
785 
786   PetscErrorCode ierr,(*r)(SNESLineSearch);
787   PetscBool      match;
788 
789   PetscFunctionBegin;
790   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
791   PetscValidCharPointer(type,2);
792 
793   ierr = PetscTypeCompare((PetscObject)linesearch,type,&match);CHKERRQ(ierr);
794   if (match) PetscFunctionReturn(0);
795 
796   ierr =  PetscFListFind(SNESLineSearchList,((PetscObject)linesearch)->comm,type,PETSC_TRUE,(void (**)(void)) &r);CHKERRQ(ierr);
797   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unable to find requested Line Search type %s",type);
798   /* Destroy the previous private linesearch context */
799   if (linesearch->ops->destroy) {
800     ierr = (*(linesearch)->ops->destroy)(linesearch);CHKERRQ(ierr);
801     linesearch->ops->destroy = PETSC_NULL;
802   }
803   /* Reinitialize function pointers in SNESLineSearchOps structure */
804   linesearch->ops->apply          = 0;
805   linesearch->ops->view           = 0;
806   linesearch->ops->setfromoptions = 0;
807   linesearch->ops->destroy        = 0;
808 
809   ierr = PetscObjectChangeTypeName((PetscObject)linesearch,type);CHKERRQ(ierr);
810   ierr = (*r)(linesearch);CHKERRQ(ierr);
811 #if defined(PETSC_HAVE_AMS)
812   if (PetscAMSPublishAll) {
813     ierr = PetscObjectAMSPublish((PetscObject)linesearch);CHKERRQ(ierr);
814   }
815 #endif
816   PetscFunctionReturn(0);
817 }
818 
819 #undef __FUNCT__
820 #define __FUNCT__ "SNESLineSearchSetSNES"
821 /*@
822    SNESLineSearchSetSNES - Sets the SNES for the linesearch for function evaluation.
823 
824    Input Parameters:
825 +  linesearch - linesearch context
826 -  snes - The snes instance
827 
828    Level: developer
829 
830    Notes:
831    This happens automatically when the line search is gotten/created with
832    SNESGetSNESLineSearch().  This routine is therefore mainly called within SNES
833    implementations.
834 
835 
836 .seealso: SNESLineSearchGetSNES(), SNESLineSearchSetVecs(), SNES
837 @*/
838 PetscErrorCode  SNESLineSearchSetSNES(SNESLineSearch linesearch, SNES snes){
839   PetscFunctionBegin;
840   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
841   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
842   linesearch->snes = snes;
843   PetscFunctionReturn(0);
844 }
845 
846 #undef __FUNCT__
847 #define __FUNCT__ "SNESLineSearchGetSNES"
848 /*@
849    SNESLineSearchGetSNES - Gets the SNES for the linesearch for function evaluation.
850 
851    Input Parameters:
852 .  linesearch - linesearch context
853 
854    Output Parameters:
855 .  snes - The snes instance
856 
857    Level: advanced
858 
859 .seealso: SNESLineSearchGetSNES(), SNESLineSearchSetVecs(), SNES
860 @*/
861 PetscErrorCode  SNESLineSearchGetSNES(SNESLineSearch linesearch, SNES *snes){
862   PetscFunctionBegin;
863   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
864   PetscValidPointer(snes, 2);
865   *snes = linesearch->snes;
866   PetscFunctionReturn(0);
867 }
868 
869 #undef __FUNCT__
870 #define __FUNCT__ "SNESLineSearchGetLambda"
871 /*@
872    SNESLineSearchGetLambda - Gets the last linesearch steplength discovered.
873 
874    Input Parameters:
875 .  linesearch - linesearch context
876 
877    Output Parameters:
878 .  lambda - The last steplength computed during SNESLineSearchApply()
879 
880    Level: advanced
881 
882    Notes:
883    This is useful in methods where the solver is ill-scaled and
884    requires some adaptive notion of the difference in scale between the
885    solution and the function.  For instance, SNESQN may be scaled by the
886    line search lambda using the argument -snes_qn_scaling ls.
887 
888 
889 .seealso: SNESLineSearchSetLambda(), SNESLineSearchGetDamping(), SNESLineSearchApply()
890 @*/
891 PetscErrorCode  SNESLineSearchGetLambda(SNESLineSearch linesearch,PetscReal *lambda)
892 {
893   PetscFunctionBegin;
894   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
895   PetscValidPointer(lambda, 2);
896   *lambda = linesearch->lambda;
897   PetscFunctionReturn(0);
898 }
899 
900 #undef __FUNCT__
901 #define __FUNCT__ "SNESLineSearchSetLambda"
902 /*@
903    SNESLineSearchSetLambda - Sets the linesearch steplength.
904 
905    Input Parameters:
906 +  linesearch - linesearch context
907 -  lambda - The last steplength.
908 
909    Notes:
910    This routine is typically used within implementations of SNESLineSearchApply
911    to set the final steplength.  This routine (and SNESLineSearchGetLambda()) were
912    added in order to facilitate Quasi-Newton methods that use the previous steplength
913    as an inner scaling parameter.
914 
915    Level: advanced
916 
917 .seealso: SNESLineSearchGetLambda()
918 @*/
919 PetscErrorCode  SNESLineSearchSetLambda(SNESLineSearch linesearch, PetscReal lambda)
920 {
921   PetscFunctionBegin;
922   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
923   linesearch->lambda = lambda;
924   PetscFunctionReturn(0);
925 }
926 
927 #undef  __FUNCT__
928 #define __FUNCT__ "SNESLineSearchGetTolerances"
929 /*@
930    SNESLineSearchGetTolerances - Gets the tolerances for the method.  These include
931    tolerances for the relative and absolute change in the function norm, the change
932    in lambda for iterative line searches, the minimum steplength, the maximum steplength,
933    and the maximum number of iterations the line search procedure may take.
934 
935    Input Parameters:
936 .  linesearch - linesearch context
937 
938    Output Parameters:
939 +  steptol - The minimum steplength
940 .  maxstep - The maximum steplength
941 .  rtol    - The relative tolerance for iterative line searches
942 .  atol    - The absolute tolerance for iterative line searches
943 .  ltol    - The change in lambda tolerance for iterative line searches
944 -  max_it  - The maximum number of iterations of the line search
945 
946    Level: intermediate
947 
948    Notes:
949    Different line searches may implement these parameters slightly differently as
950    the method requires.
951 
952 .seealso: SNESLineSearchSetTolerances()
953 @*/
954 PetscErrorCode  SNESLineSearchGetTolerances(SNESLineSearch linesearch,PetscReal *steptol,PetscReal *maxstep, PetscReal *rtol, PetscReal *atol, PetscReal *ltol, PetscInt *max_its)
955 {
956   PetscFunctionBegin;
957   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
958   if (steptol) {
959     PetscValidPointer(steptol, 2);
960     *steptol = linesearch->steptol;
961   }
962   if (maxstep) {
963     PetscValidPointer(maxstep, 3);
964     *maxstep = linesearch->maxstep;
965   }
966   if (rtol) {
967     PetscValidPointer(rtol, 4);
968     *rtol = linesearch->rtol;
969   }
970   if (atol) {
971     PetscValidPointer(atol, 5);
972     *atol = linesearch->atol;
973   }
974   if (ltol) {
975     PetscValidPointer(ltol, 6);
976     *ltol = linesearch->ltol;
977   }
978   if (max_its) {
979     PetscValidPointer(max_its, 7);
980     *max_its = linesearch->max_its;
981   }
982   PetscFunctionReturn(0);
983 }
984 
985 #undef  __FUNCT__
986 #define __FUNCT__ "SNESLineSearchSetTolerances"
987 /*@
988    SNESLineSearchSetTolerances -  Gets the tolerances for the method.  These include
989    tolerances for the relative and absolute change in the function norm, the change
990    in lambda for iterative line searches, the minimum steplength, the maximum steplength,
991    and the maximum number of iterations the line search procedure may take.
992 
993    Input Parameters:
994 +  linesearch - linesearch context
995 .  steptol - The minimum steplength
996 .  maxstep - The maximum steplength
997 .  rtol    - The relative tolerance for iterative line searches
998 .  atol    - The absolute tolerance for iterative line searches
999 .  ltol    - The change in lambda tolerance for iterative line searches
1000 -  max_it  - The maximum number of iterations of the line search
1001 
1002    Notes:
1003    The user may choose to not set any of the tolerances in the method using PETSC_DEFAULT in
1004    place of an argument.
1005 
1006    Level: intermediate
1007 
1008 .seealso: SNESLineSearchGetTolerances()
1009 @*/
1010 PetscErrorCode  SNESLineSearchSetTolerances(SNESLineSearch linesearch,PetscReal steptol,PetscReal maxstep, PetscReal rtol, PetscReal atol, PetscReal ltol, PetscInt max_its)
1011 {
1012   PetscFunctionBegin;
1013   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1014   PetscValidLogicalCollectiveReal(linesearch,steptol,2);
1015   PetscValidLogicalCollectiveReal(linesearch,maxstep,3);
1016   PetscValidLogicalCollectiveReal(linesearch,rtol,4);
1017   PetscValidLogicalCollectiveReal(linesearch,atol,5);
1018   PetscValidLogicalCollectiveReal(linesearch,ltol,6);
1019   PetscValidLogicalCollectiveInt(linesearch,max_its,7);
1020 
1021   if ( steptol!= PETSC_DEFAULT) {
1022     if ( steptol < 0.0) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Minimum step length %G must be non-negative",steptol);
1023     linesearch->steptol = steptol;
1024   }
1025 
1026   if ( maxstep!= PETSC_DEFAULT) {
1027     if ( maxstep < 0.0) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Maximum step length %G must be non-negative",maxstep);
1028     linesearch->maxstep = maxstep;
1029   }
1030 
1031   if (rtol != PETSC_DEFAULT) {
1032     if (rtol < 0.0 || 1.0 <= rtol) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Relative tolerance %G must be non-negative and less than 1.0",rtol);
1033     linesearch->rtol = rtol;
1034   }
1035 
1036   if (atol != PETSC_DEFAULT) {
1037     if (atol < 0.0) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Absolute tolerance %G must be non-negative",atol);
1038     linesearch->atol = atol;
1039   }
1040 
1041   if (ltol != PETSC_DEFAULT) {
1042     if (ltol < 0.0) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Labmda tolerance %G must be non-negative",ltol);
1043   linesearch->ltol = ltol;
1044   }
1045 
1046   if (max_its != PETSC_DEFAULT) {
1047     if (max_its < 0) SETERRQ1(((PetscObject)linesearch)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Maximum number of iterations %D must be non-negative",max_its);
1048     linesearch->max_its = max_its;
1049   }
1050 
1051   PetscFunctionReturn(0);
1052 }
1053 
1054 
1055 #undef __FUNCT__
1056 #define __FUNCT__ "SNESLineSearchGetDamping"
1057 /*@
1058    SNESLineSearchGetDamping - Gets the line search damping parameter.
1059 
1060    Input Parameters:
1061 .  linesearch - linesearch context
1062 
1063    Output Parameters:
1064 .  damping - The damping parameter
1065 
1066    Level: advanced
1067 
1068 .seealso: SNESLineSearchGetStepTolerance(), SNESQN
1069 @*/
1070 
1071 PetscErrorCode  SNESLineSearchGetDamping(SNESLineSearch linesearch,PetscReal *damping)
1072 {
1073   PetscFunctionBegin;
1074   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1075   PetscValidPointer(damping, 2);
1076   *damping = linesearch->damping;
1077   PetscFunctionReturn(0);
1078 }
1079 
1080 #undef __FUNCT__
1081 #define __FUNCT__ "SNESLineSearchSetDamping"
1082 /*@
1083    SNESLineSearchSetDamping - Sets the line search damping paramter.
1084 
1085    Input Parameters:
1086 .  linesearch - linesearch context
1087 .  damping - The damping parameter
1088 
1089    Level: intermediate
1090 
1091    Notes:
1092    The basic line search merely takes the update step scaled by the damping parameter.
1093    The use of the damping parameter in the l2 and cp line searches is much more subtle;
1094    it is used as a starting point in calculating the secant step. However, the eventual
1095    step may be of greater length than the damping parameter.  In the bt line search it is
1096    used as the maximum possible step length, as the bt line search only backtracks.
1097 
1098 .seealso: SNESLineSearchGetDamping()
1099 @*/
1100 PetscErrorCode  SNESLineSearchSetDamping(SNESLineSearch linesearch,PetscReal damping)
1101 {
1102   PetscFunctionBegin;
1103   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1104   linesearch->damping = damping;
1105   PetscFunctionReturn(0);
1106 }
1107 
1108 #undef __FUNCT__
1109 #define __FUNCT__ "SNESLineSearchGetOrder"
1110 /*@
1111    SNESLineSearchGetOrder - Gets the line search approximation order.
1112 
1113    Input Parameters:
1114 .  linesearch - linesearch context
1115 
1116    Output Parameters:
1117 .  order - The order
1118 
1119    Possible Values for order:
1120 +  SNES_LINESEARCH_LINEAR - linear method
1121 .  SNES_LINESEARCH_QUADRATIC - quadratic method
1122 -  SNES_LINESEARCH_CUBIC - cubic method
1123 
1124    Level: intermediate
1125 
1126 .seealso: SNESLineSearchSetOrder()
1127 @*/
1128 
1129 PetscErrorCode  SNESLineSearchGetOrder(SNESLineSearch linesearch,SNESLineSearchOrder *order)
1130 {
1131   PetscFunctionBegin;
1132   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1133   PetscValidPointer(order, 2);
1134   *order = linesearch->order;
1135   PetscFunctionReturn(0);
1136 }
1137 
1138 #undef __FUNCT__
1139 #define __FUNCT__ "SNESLineSearchSetOrder"
1140 /*@
1141    SNESLineSearchSetOrder - Sets the line search damping paramter.
1142 
1143    Input Parameters:
1144 .  linesearch - linesearch context
1145 .  order - The damping parameter
1146 
1147    Level: intermediate
1148 
1149    Possible Values for order:
1150 +  SNES_LINESEARCH_LINEAR - linear method
1151 .  SNES_LINESEARCH_QUADRATIC - quadratic method
1152 -  SNES_LINESEARCH_CUBIC - cubic method
1153 
1154    Notes:
1155    Variable orders are supported by the following line searches:
1156 +  bt - cubic and quadratic
1157 -  cp - linear and quadratic
1158 
1159 .seealso: SNESLineSearchGetOrder()
1160 @*/
1161 PetscErrorCode  SNESLineSearchSetOrder(SNESLineSearch linesearch,SNESLineSearchOrder order)
1162 {
1163   PetscFunctionBegin;
1164   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1165   linesearch->order = order;
1166   PetscFunctionReturn(0);
1167 }
1168 
1169 #undef __FUNCT__
1170 #define __FUNCT__ "SNESLineSearchGetNorms"
1171 /*@
1172    SNESLineSearchGetNorms - Gets the norms for for X, Y, and F.
1173 
1174    Input Parameters:
1175 .  linesearch - linesearch context
1176 
1177    Output Parameters:
1178 +  xnorm - The norm of the current solution
1179 .  fnorm - The norm of the current function
1180 -  ynorm - The norm of the current update
1181 
1182    Notes:
1183    This function is mainly called from SNES implementations.
1184 
1185    Level: developer
1186 
1187 .seealso: SNESLineSearchSetNorms() SNESLineSearchGetVecs()
1188 @*/
1189 PetscErrorCode  SNESLineSearchGetNorms(SNESLineSearch linesearch, PetscReal * xnorm, PetscReal * fnorm, PetscReal * ynorm)
1190 {
1191   PetscFunctionBegin;
1192   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1193   if (xnorm) {
1194     *xnorm = linesearch->xnorm;
1195   }
1196   if (fnorm) {
1197     *fnorm = linesearch->fnorm;
1198   }
1199   if (ynorm) {
1200     *ynorm = linesearch->ynorm;
1201   }
1202   PetscFunctionReturn(0);
1203 }
1204 
1205 #undef __FUNCT__
1206 #define __FUNCT__ "SNESLineSearchSetNorms"
1207 /*@
1208    SNESLineSearchSetNorms - Gets the computed norms for for X, Y, and F.
1209 
1210    Input Parameters:
1211 +  linesearch - linesearch context
1212 .  xnorm - The norm of the current solution
1213 .  fnorm - The norm of the current function
1214 -  ynorm - The norm of the current update
1215 
1216    Level: advanced
1217 
1218 .seealso: SNESLineSearchGetNorms(), SNESLineSearchSetVecs()
1219 @*/
1220 PetscErrorCode  SNESLineSearchSetNorms(SNESLineSearch linesearch, PetscReal xnorm, PetscReal fnorm, PetscReal ynorm)
1221 {
1222   PetscFunctionBegin;
1223   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1224   linesearch->xnorm = xnorm;
1225   linesearch->fnorm = fnorm;
1226   linesearch->ynorm = ynorm;
1227   PetscFunctionReturn(0);
1228 }
1229 
1230 #undef __FUNCT__
1231 #define __FUNCT__ "SNESLineSearchComputeNorms"
1232 /*@
1233    SNESLineSearchComputeNorms - Computes the norms of X, F, and Y.
1234 
1235    Input Parameters:
1236 .  linesearch - linesearch context
1237 
1238    Options Database Keys:
1239 .   -snes_linesearch_norms - turn norm computation on or off
1240 
1241    Level: intermediate
1242 
1243 .seealso: SNESLineSearchGetNorms, SNESLineSearchSetNorms(), SNESLineSearchSetComputeNorms()
1244 @*/
1245 PetscErrorCode SNESLineSearchComputeNorms(SNESLineSearch linesearch)
1246 {
1247   PetscErrorCode ierr;
1248   SNES snes;
1249   PetscFunctionBegin;
1250   if (linesearch->norms) {
1251     if (linesearch->ops->vinorm) {
1252       ierr = SNESLineSearchGetSNES(linesearch, &snes);CHKERRQ(ierr);
1253       ierr = VecNorm(linesearch->vec_sol, NORM_2, &linesearch->xnorm);CHKERRQ(ierr);
1254       ierr = VecNorm(linesearch->vec_update, NORM_2, &linesearch->ynorm);CHKERRQ(ierr);
1255       ierr = (*linesearch->ops->vinorm)(snes, linesearch->vec_func, linesearch->vec_sol, &linesearch->fnorm);CHKERRQ(ierr);
1256     } else {
1257       ierr = VecNormBegin(linesearch->vec_func,   NORM_2, &linesearch->fnorm);CHKERRQ(ierr);
1258       ierr = VecNormBegin(linesearch->vec_sol,    NORM_2, &linesearch->xnorm);CHKERRQ(ierr);
1259       ierr = VecNormBegin(linesearch->vec_update, NORM_2, &linesearch->ynorm);CHKERRQ(ierr);
1260       ierr = VecNormEnd(linesearch->vec_func,     NORM_2, &linesearch->fnorm);CHKERRQ(ierr);
1261       ierr = VecNormEnd(linesearch->vec_sol,      NORM_2, &linesearch->xnorm);CHKERRQ(ierr);
1262       ierr = VecNormEnd(linesearch->vec_update,   NORM_2, &linesearch->ynorm);CHKERRQ(ierr);
1263     }
1264   }
1265   PetscFunctionReturn(0);
1266 }
1267 
1268 
1269 #undef __FUNCT__
1270 #define __FUNCT__ "SNESLineSearchSetComputeNorms"
1271 /*@
1272    SNESLineSearchSetComputeNorms - Turns on or off the computation of final norms in the line search.
1273 
1274    Input Parameters:
1275 +  linesearch  - linesearch context
1276 -  flg  - indicates whether or not to compute norms
1277 
1278    Options Database Keys:
1279 .   -snes_linesearch_norms - turn norm computation on or off
1280 
1281    Notes:
1282    This is most relevant to the SNESLINESEARCHBASIC line search type.
1283 
1284    Level: intermediate
1285 
1286 .seealso: SNESLineSearchGetNorms(), SNESLineSearchSetNorms(), SNESLineSearchComputeNorms(), SNESLINESEARCHBASIC
1287 @*/
1288 PetscErrorCode SNESLineSearchSetComputeNorms(SNESLineSearch linesearch, PetscBool flg)
1289 {
1290   PetscFunctionBegin;
1291   linesearch->norms = flg;
1292   PetscFunctionReturn(0);
1293 }
1294 
1295 #undef __FUNCT__
1296 #define __FUNCT__ "SNESLineSearchGetVecs"
1297 /*@
1298    SNESLineSearchGetVecs - Gets the vectors from the SNESLineSearch context
1299 
1300    Input Parameters:
1301 .  linesearch - linesearch context
1302 
1303    Output Parameters:
1304 +  X - The old solution
1305 .  F - The old function
1306 .  Y - The search direction
1307 .  W - The new solution
1308 -  G - The new function
1309 
1310    Level: advanced
1311 
1312 .seealso: SNESLineSearchGetNorms(), SNESLineSearchSetVecs()
1313 @*/
1314 PetscErrorCode SNESLineSearchGetVecs(SNESLineSearch linesearch,Vec *X,Vec *F, Vec *Y,Vec *W,Vec *G) {
1315   PetscFunctionBegin;
1316   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1317   if (X) {
1318     PetscValidPointer(X, 2);
1319     *X = linesearch->vec_sol;
1320   }
1321   if (F) {
1322     PetscValidPointer(F, 3);
1323     *F = linesearch->vec_func;
1324   }
1325   if (Y) {
1326     PetscValidPointer(Y, 4);
1327     *Y = linesearch->vec_update;
1328   }
1329   if (W) {
1330     PetscValidPointer(W, 5);
1331     *W = linesearch->vec_sol_new;
1332   }
1333   if (G) {
1334     PetscValidPointer(G, 6);
1335     *G = linesearch->vec_func_new;
1336   }
1337 
1338   PetscFunctionReturn(0);
1339 }
1340 
1341 #undef __FUNCT__
1342 #define __FUNCT__ "SNESLineSearchSetVecs"
1343 /*@
1344    SNESLineSearchSetVecs - Sets the vectors on the SNESLineSearch context
1345 
1346    Input Parameters:
1347 +  linesearch - linesearch context
1348 .  X - The old solution
1349 .  F - The old function
1350 .  Y - The search direction
1351 .  W - The new solution
1352 -  G - The new function
1353 
1354    Level: advanced
1355 
1356 .seealso: SNESLineSearchSetNorms(), SNESLineSearchGetVecs()
1357 @*/
1358 PetscErrorCode SNESLineSearchSetVecs(SNESLineSearch linesearch,Vec X,Vec F,Vec Y,Vec W, Vec G) {
1359   PetscFunctionBegin;
1360   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1361   if (X) {
1362     PetscValidHeaderSpecific(X,VEC_CLASSID,2);
1363     linesearch->vec_sol = X;
1364   }
1365   if (F) {
1366     PetscValidHeaderSpecific(F,VEC_CLASSID,3);
1367     linesearch->vec_func = F;
1368   }
1369   if (Y) {
1370     PetscValidHeaderSpecific(Y,VEC_CLASSID,4);
1371     linesearch->vec_update = Y;
1372   }
1373   if (W) {
1374     PetscValidHeaderSpecific(W,VEC_CLASSID,5);
1375     linesearch->vec_sol_new = W;
1376   }
1377   if (G) {
1378     PetscValidHeaderSpecific(G,VEC_CLASSID,6);
1379     linesearch->vec_func_new = G;
1380   }
1381 
1382   PetscFunctionReturn(0);
1383 }
1384 
1385 #undef __FUNCT__
1386 #define __FUNCT__ "SNESLineSearchAppendOptionsPrefix"
1387 /*@C
1388    SNESLineSearchAppendOptionsPrefix - Appends to the prefix used for searching for all
1389    SNES options in the database.
1390 
1391    Logically Collective on SNESLineSearch
1392 
1393    Input Parameters:
1394 +  snes - the SNES context
1395 -  prefix - the prefix to prepend to all option names
1396 
1397    Notes:
1398    A hyphen (-) must NOT be given at the beginning of the prefix name.
1399    The first character of all runtime options is AUTOMATICALLY the hyphen.
1400 
1401    Level: advanced
1402 
1403 .keywords: SNESLineSearch, append, options, prefix, database
1404 
1405 .seealso: SNESGetOptionsPrefix()
1406 @*/
1407 PetscErrorCode  SNESLineSearchAppendOptionsPrefix(SNESLineSearch linesearch,const char prefix[])
1408 {
1409   PetscErrorCode ierr;
1410 
1411   PetscFunctionBegin;
1412   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1413   ierr = PetscObjectAppendOptionsPrefix((PetscObject)linesearch,prefix);CHKERRQ(ierr);
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 #undef __FUNCT__
1418 #define __FUNCT__ "SNESLineSearchGetOptionsPrefix"
1419 /*@C
1420    SNESLineSearchGetOptionsPrefix - Sets the prefix used for searching for all
1421    SNESLineSearch options in the database.
1422 
1423    Not Collective
1424 
1425    Input Parameter:
1426 .  linesearch - the SNESLineSearch context
1427 
1428    Output Parameter:
1429 .  prefix - pointer to the prefix string used
1430 
1431    Notes:
1432    On the fortran side, the user should pass in a string 'prefix' of
1433    sufficient length to hold the prefix.
1434 
1435    Level: advanced
1436 
1437 .keywords: SNESLineSearch, get, options, prefix, database
1438 
1439 .seealso: SNESAppendOptionsPrefix()
1440 @*/
1441 PetscErrorCode  SNESLineSearchGetOptionsPrefix(SNESLineSearch linesearch,const char *prefix[])
1442 {
1443   PetscErrorCode ierr;
1444 
1445   PetscFunctionBegin;
1446   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1447   ierr = PetscObjectGetOptionsPrefix((PetscObject)linesearch,prefix);CHKERRQ(ierr);
1448   PetscFunctionReturn(0);
1449 }
1450 
1451 #undef __FUNCT__
1452 #define __FUNCT__ "SNESLineSearchGetWork"
1453 /*@
1454    SNESLineSearchGetWork - Gets work vectors for the line search.
1455 
1456    Input Parameter:
1457 +  linesearch - the SNESLineSearch context
1458 -  nwork - the number of work vectors
1459 
1460    Level: developer
1461 
1462    Notes:
1463    This is typically called at the beginning of a SNESLineSearch or SNESLineSearchShell implementation.
1464 
1465 .keywords: SNESLineSearch, work, vector
1466 
1467 .seealso: SNESDefaultGetWork()
1468 @*/
1469 PetscErrorCode  SNESLineSearchGetWork(SNESLineSearch linesearch, PetscInt nwork)
1470 {
1471   PetscErrorCode ierr;
1472   PetscFunctionBegin;
1473   if (linesearch->vec_sol) {
1474     ierr = VecDuplicateVecs(linesearch->vec_sol, nwork, &linesearch->work);CHKERRQ(ierr);
1475   } else {
1476     SETERRQ(((PetscObject)linesearch)->comm, PETSC_ERR_USER, "Cannot get linesearch work-vectors without setting a solution vec!");
1477   }
1478   PetscFunctionReturn(0);
1479 }
1480 
1481 
1482 #undef __FUNCT__
1483 #define __FUNCT__ "SNESLineSearchGetSuccess"
1484 /*@
1485    SNESLineSearchGetSuccess - Gets the success/failure status of the last line search application
1486 
1487    Input Parameters:
1488 .  linesearch - linesearch context
1489 
1490    Output Parameters:
1491 .  success - The success or failure status
1492 
1493    Notes:
1494    This is typically called after SNESLineSearchApply in order to determine if the line-search failed
1495    (and set the SNES convergence accordingly).
1496 
1497    Level: intermediate
1498 
1499 .seealso: SNESLineSearchSetSuccess()
1500 @*/
1501 PetscErrorCode  SNESLineSearchGetSuccess(SNESLineSearch linesearch, PetscBool *success)
1502 {
1503   PetscFunctionBegin;
1504   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1505   PetscValidPointer(success, 2);
1506   if (success) {
1507     *success = linesearch->success;
1508   }
1509   PetscFunctionReturn(0);
1510 }
1511 
1512 #undef __FUNCT__
1513 #define __FUNCT__ "SNESLineSearchSetSuccess"
1514 /*@
1515    SNESLineSearchSetSuccess - Sets the success/failure status of the last line search application
1516 
1517    Input Parameters:
1518 +  linesearch - linesearch context
1519 -  success - The success or failure status
1520 
1521    Notes:
1522    This is typically called in a SNESLineSearchApply() or SNESLineSearchShell implementation to set
1523    the success or failure of the line search method.
1524 
1525    Level: developer
1526 
1527 .seealso: SNESLineSearchGetSuccess()
1528 @*/
1529 PetscErrorCode  SNESLineSearchSetSuccess(SNESLineSearch linesearch, PetscBool success)
1530 {
1531   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1532   PetscFunctionBegin;
1533   linesearch->success = success;
1534   PetscFunctionReturn(0);
1535 }
1536 
1537 #undef __FUNCT__
1538 #define __FUNCT__ "SNESLineSearchSetVIFunctions"
1539 /*@C
1540    SNESLineSearchSetVIFunctions - Sets VI-specific functions for line search computation.
1541 
1542    Input Parameters:
1543 +  snes - nonlinear context obtained from SNESCreate()
1544 .  projectfunc - function for projecting the function to the bounds
1545 -  normfunc - function for computing the norm of an active set
1546 
1547    Logically Collective on SNES
1548 
1549    Calling sequence of projectfunc:
1550 .vb
1551    projectfunc (SNES snes, Vec X)
1552 .ve
1553 
1554     Input parameters for projectfunc:
1555 +   snes - nonlinear context
1556 -   X - current solution
1557 
1558     Output parameters for projectfunc:
1559 .   X - Projected solution
1560 
1561    Calling sequence of normfunc:
1562 .vb
1563    projectfunc (SNES snes, Vec X, Vec F, PetscScalar * fnorm)
1564 .ve
1565 
1566     Input parameters for normfunc:
1567 +   snes - nonlinear context
1568 .   X - current solution
1569 -   F - current residual
1570 
1571     Output parameters for normfunc:
1572 .   fnorm - VI-specific norm of the function
1573 
1574     Notes:
1575     The VI solvers require projection of the solution to the feasible set.  projectfunc should implement this.
1576 
1577     The VI solvers require special evaluation of the function norm such that the norm is only calculated
1578     on the inactive set.  This should be implemented by normfunc.
1579 
1580     Level: developer
1581 
1582 .keywords: SNES, line search, VI, nonlinear, set, line search
1583 
1584 .seealso: SNESLineSearchGetVIFunctions(), SNESLineSearchSetPostCheck(), SNESLineSearchSetPreCheck()
1585 @*/
1586 extern PetscErrorCode SNESLineSearchSetVIFunctions(SNESLineSearch linesearch, SNESLineSearchVIProjectFunc projectfunc, SNESLineSearchVINormFunc normfunc)
1587 {
1588   PetscFunctionBegin;
1589   PetscValidHeaderSpecific(linesearch,SNESLINESEARCH_CLASSID,1);
1590   if (projectfunc) linesearch->ops->viproject = projectfunc;
1591   if (normfunc) linesearch->ops->vinorm = normfunc;
1592   PetscFunctionReturn(0);
1593 }
1594 
1595 #undef __FUNCT__
1596 #define __FUNCT__ "SNESLineSearchGetVIFunctions"
1597 /*@C
1598    SNESLineSearchGetVIFunctions - Sets VI-specific functions for line search computation.
1599 
1600    Input Parameters:
1601 .  snes - nonlinear context obtained from SNESCreate()
1602 
1603    Output Parameters:
1604 +  projectfunc - function for projecting the function to the bounds
1605 -  normfunc - function for computing the norm of an active set
1606 
1607    Logically Collective on SNES
1608 
1609     Level: developer
1610 
1611 .keywords: SNES, line search, VI, nonlinear, get, line search
1612 
1613 .seealso: SNESLineSearchSetVIFunctions(), SNESLineSearchGetPostCheck(), SNESLineSearchGetPreCheck()
1614 @*/
1615 extern PetscErrorCode SNESLineSearchGetVIFunctions(SNESLineSearch linesearch, SNESLineSearchVIProjectFunc *projectfunc, SNESLineSearchVINormFunc *normfunc)
1616 {
1617   PetscFunctionBegin;
1618   if (projectfunc) *projectfunc = linesearch->ops->viproject;
1619   if (normfunc) *normfunc = linesearch->ops->vinorm;
1620   PetscFunctionReturn(0);
1621 }
1622 
1623 #undef __FUNCT__
1624 #define __FUNCT__ "SNESLineSearchRegister"
1625 /*@C
1626   SNESLineSearchRegister - See SNESLineSearchRegisterDynamic()
1627 
1628   Level: advanced
1629 @*/
1630 PetscErrorCode  SNESLineSearchRegister(const char sname[],const char path[],const char name[],PetscErrorCode (*function)(SNESLineSearch))
1631 {
1632   char           fullname[PETSC_MAX_PATH_LEN];
1633   PetscErrorCode ierr;
1634 
1635   PetscFunctionBegin;
1636   ierr = PetscFListConcat(path,name,fullname);CHKERRQ(ierr);
1637   ierr = PetscFListAdd(&SNESLineSearchList,sname,fullname,(void (*)(void))function);CHKERRQ(ierr);
1638   PetscFunctionReturn(0);
1639 }
1640