xref: /petsc/src/snes/interface/snes.c (revision 4f29c25c018745a40f2485b169f1d80c1491b1e7)
1 
2 #include <petsc-private/snesimpl.h>      /*I "petscsnes.h"  I*/
3 #include <petscdmshell.h>
4 
5 PetscBool         SNESRegisterAllCalled = PETSC_FALSE;
6 PetscFunctionList SNESList              = NULL;
7 
8 /* Logging support */
9 PetscClassId  SNES_CLASSID, DMSNES_CLASSID;
10 PetscLogEvent SNES_Solve, SNES_FunctionEval, SNES_JacobianEval, SNES_GSEval, SNES_NPCSolve;
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "SNESSetErrorIfNotConverged"
14 /*@
15    SNESSetErrorIfNotConverged - Causes SNESSolve() to generate an error if the solver has not converged.
16 
17    Logically Collective on SNES
18 
19    Input Parameters:
20 +  snes - iterative context obtained from SNESCreate()
21 -  flg - PETSC_TRUE indicates you want the error generated
22 
23    Options database keys:
24 .  -snes_error_if_not_converged : this takes an optional truth value (0/1/no/yes/true/false)
25 
26    Level: intermediate
27 
28    Notes:
29     Normally PETSc continues if a linear solver fails to converge, you can call SNESGetConvergedReason() after a SNESSolve()
30     to determine if it has converged.
31 
32 .keywords: SNES, set, initial guess, nonzero
33 
34 .seealso: SNESGetErrorIfNotConverged(), KSPGetErrorIfNotConverged(), KSPSetErrorIFNotConverged()
35 @*/
36 PetscErrorCode  SNESSetErrorIfNotConverged(SNES snes,PetscBool flg)
37 {
38   PetscFunctionBegin;
39   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
40   PetscValidLogicalCollectiveBool(snes,flg,2);
41   snes->errorifnotconverged = flg;
42   PetscFunctionReturn(0);
43 }
44 
45 #undef __FUNCT__
46 #define __FUNCT__ "SNESGetErrorIfNotConverged"
47 /*@
48    SNESGetErrorIfNotConverged - Will SNESSolve() generate an error if the solver does not converge?
49 
50    Not Collective
51 
52    Input Parameter:
53 .  snes - iterative context obtained from SNESCreate()
54 
55    Output Parameter:
56 .  flag - PETSC_TRUE if it will generate an error, else PETSC_FALSE
57 
58    Level: intermediate
59 
60 .keywords: SNES, set, initial guess, nonzero
61 
62 .seealso:  SNESSetErrorIfNotConverged(), KSPGetErrorIfNotConverged(), KSPSetErrorIFNotConverged()
63 @*/
64 PetscErrorCode  SNESGetErrorIfNotConverged(SNES snes,PetscBool  *flag)
65 {
66   PetscFunctionBegin;
67   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
68   PetscValidPointer(flag,2);
69   *flag = snes->errorifnotconverged;
70   PetscFunctionReturn(0);
71 }
72 
73 #undef __FUNCT__
74 #define __FUNCT__ "SNESSetFunctionDomainError"
75 /*@
76    SNESSetFunctionDomainError - tells SNES that the input vector to your SNESFunction is not
77      in the functions domain. For example, negative pressure.
78 
79    Logically Collective on SNES
80 
81    Input Parameters:
82 .  snes - the SNES context
83 
84    Level: advanced
85 
86 .keywords: SNES, view
87 
88 .seealso: SNESCreate(), SNESSetFunction(), SNESFunction
89 @*/
90 PetscErrorCode  SNESSetFunctionDomainError(SNES snes)
91 {
92   PetscFunctionBegin;
93   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
94   snes->domainerror = PETSC_TRUE;
95   PetscFunctionReturn(0);
96 }
97 
98 #undef __FUNCT__
99 #define __FUNCT__ "SNESGetFunctionDomainError"
100 /*@
101    SNESGetFunctionDomainError - Gets the status of the domain error after a call to SNESComputeFunction;
102 
103    Logically Collective on SNES
104 
105    Input Parameters:
106 .  snes - the SNES context
107 
108    Output Parameters:
109 .  domainerror - Set to PETSC_TRUE if there's a domain error; PETSC_FALSE otherwise.
110 
111    Level: advanced
112 
113 .keywords: SNES, view
114 
115 .seealso: SNESSetFunctionDomainError(), SNESComputeFunction()
116 @*/
117 PetscErrorCode  SNESGetFunctionDomainError(SNES snes, PetscBool *domainerror)
118 {
119   PetscFunctionBegin;
120   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
121   PetscValidPointer(domainerror, 2);
122   *domainerror = snes->domainerror;
123   PetscFunctionReturn(0);
124 }
125 
126 #undef __FUNCT__
127 #define __FUNCT__ "SNESLoad"
128 /*@C
129   SNESLoad - Loads a SNES that has been stored in binary  with SNESView().
130 
131   Collective on PetscViewer
132 
133   Input Parameters:
134 + newdm - the newly loaded SNES, this needs to have been created with SNESCreate() or
135            some related function before a call to SNESLoad().
136 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
137 
138    Level: intermediate
139 
140   Notes:
141    The type is determined by the data in the file, any type set into the SNES before this call is ignored.
142 
143   Notes for advanced users:
144   Most users should not need to know the details of the binary storage
145   format, since SNESLoad() and TSView() completely hide these details.
146   But for anyone who's interested, the standard binary matrix storage
147   format is
148 .vb
149      has not yet been determined
150 .ve
151 
152 .seealso: PetscViewerBinaryOpen(), SNESView(), MatLoad(), VecLoad()
153 @*/
154 PetscErrorCode  SNESLoad(SNES snes, PetscViewer viewer)
155 {
156   PetscErrorCode ierr;
157   PetscBool      isbinary;
158   PetscInt       classid;
159   char           type[256];
160   KSP            ksp;
161   DM             dm;
162   DMSNES         dmsnes;
163 
164   PetscFunctionBegin;
165   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
166   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
167   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
168   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
169 
170   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
171   if (classid != SNES_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_WRONG,"Not SNES next in file");
172   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
173   ierr = SNESSetType(snes, type);CHKERRQ(ierr);
174   if (snes->ops->load) {
175     ierr = (*snes->ops->load)(snes,viewer);CHKERRQ(ierr);
176   }
177   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
178   ierr = DMGetDMSNES(dm,&dmsnes);CHKERRQ(ierr);
179   ierr = DMSNESLoad(dmsnes,viewer);CHKERRQ(ierr);
180   ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
181   ierr = KSPLoad(ksp,viewer);CHKERRQ(ierr);
182   PetscFunctionReturn(0);
183 }
184 
185 #include <petscdraw.h>
186 #undef __FUNCT__
187 #define __FUNCT__ "SNESView"
188 /*@C
189    SNESView - Prints the SNES data structure.
190 
191    Collective on SNES
192 
193    Input Parameters:
194 +  SNES - the SNES context
195 -  viewer - visualization context
196 
197    Options Database Key:
198 .  -snes_view - Calls SNESView() at end of SNESSolve()
199 
200    Notes:
201    The available visualization contexts include
202 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
203 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
204          output where only the first processor opens
205          the file.  All other processors send their
206          data to the first processor to print.
207 
208    The user can open an alternative visualization context with
209    PetscViewerASCIIOpen() - output to a specified file.
210 
211    Level: beginner
212 
213 .keywords: SNES, view
214 
215 .seealso: PetscViewerASCIIOpen()
216 @*/
217 PetscErrorCode  SNESView(SNES snes,PetscViewer viewer)
218 {
219   SNESKSPEW      *kctx;
220   PetscErrorCode ierr;
221   KSP            ksp;
222   SNESLineSearch linesearch;
223   PetscBool      iascii,isstring,isbinary,isdraw;
224   DMSNES         dmsnes;
225 
226   PetscFunctionBegin;
227   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
228   if (!viewer) {
229     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes),&viewer);CHKERRQ(ierr);
230   }
231   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
232   PetscCheckSameComm(snes,1,viewer,2);
233 
234   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
235   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
236   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
237   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
238   if (iascii) {
239     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)snes,viewer,"SNES Object");CHKERRQ(ierr);
240     if (snes->ops->view) {
241       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
242       ierr = (*snes->ops->view)(snes,viewer);CHKERRQ(ierr);
243       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
244     }
245     ierr = PetscViewerASCIIPrintf(viewer,"  maximum iterations=%D, maximum function evaluations=%D\n",snes->max_its,snes->max_funcs);CHKERRQ(ierr);
246     ierr = PetscViewerASCIIPrintf(viewer,"  tolerances: relative=%G, absolute=%G, solution=%G\n",snes->rtol,snes->abstol,snes->stol);CHKERRQ(ierr);
247     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",snes->linear_its);CHKERRQ(ierr);
248     ierr = PetscViewerASCIIPrintf(viewer,"  total number of function evaluations=%D\n",snes->nfuncs);CHKERRQ(ierr);
249     if (snes->gridsequence) {
250       ierr = PetscViewerASCIIPrintf(viewer,"  total number of grid sequence refinements=%D\n",snes->gridsequence);CHKERRQ(ierr);
251     }
252     if (snes->ksp_ewconv) {
253       kctx = (SNESKSPEW*)snes->kspconvctx;
254       if (kctx) {
255         ierr = PetscViewerASCIIPrintf(viewer,"  Eisenstat-Walker computation of KSP relative tolerance (version %D)\n",kctx->version);CHKERRQ(ierr);
256         ierr = PetscViewerASCIIPrintf(viewer,"    rtol_0=%G, rtol_max=%G, threshold=%G\n",kctx->rtol_0,kctx->rtol_max,kctx->threshold);CHKERRQ(ierr);
257         ierr = PetscViewerASCIIPrintf(viewer,"    gamma=%G, alpha=%G, alpha2=%G\n",kctx->gamma,kctx->alpha,kctx->alpha2);CHKERRQ(ierr);
258       }
259     }
260     if (snes->lagpreconditioner == -1) {
261       ierr = PetscViewerASCIIPrintf(viewer,"  Preconditioned is never rebuilt\n");CHKERRQ(ierr);
262     } else if (snes->lagpreconditioner > 1) {
263       ierr = PetscViewerASCIIPrintf(viewer,"  Preconditioned is rebuilt every %D new Jacobians\n",snes->lagpreconditioner);CHKERRQ(ierr);
264     }
265     if (snes->lagjacobian == -1) {
266       ierr = PetscViewerASCIIPrintf(viewer,"  Jacobian is never rebuilt\n");CHKERRQ(ierr);
267     } else if (snes->lagjacobian > 1) {
268       ierr = PetscViewerASCIIPrintf(viewer,"  Jacobian is rebuilt every %D SNES iterations\n",snes->lagjacobian);CHKERRQ(ierr);
269     }
270   } else if (isstring) {
271     const char *type;
272     ierr = SNESGetType(snes,&type);CHKERRQ(ierr);
273     ierr = PetscViewerStringSPrintf(viewer," %-3.3s",type);CHKERRQ(ierr);
274   } else if (isbinary) {
275     PetscInt    classid = SNES_FILE_CLASSID;
276     MPI_Comm    comm;
277     PetscMPIInt rank;
278     char        type[256];
279 
280     ierr = PetscObjectGetComm((PetscObject)snes,&comm);CHKERRQ(ierr);
281     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
282     if (!rank) {
283       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
284       ierr = PetscStrncpy(type,((PetscObject)snes)->type_name,256);CHKERRQ(ierr);
285       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
286     }
287     if (snes->ops->view) {
288       ierr = (*snes->ops->view)(snes,viewer);CHKERRQ(ierr);
289     }
290   } else if (isdraw) {
291     PetscDraw draw;
292     char      str[36];
293     PetscReal x,y,bottom,h;
294 
295     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
296     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
297     ierr   = PetscStrcpy(str,"SNES: ");CHKERRQ(ierr);
298     ierr   = PetscStrcat(str,((PetscObject)snes)->type_name);CHKERRQ(ierr);
299     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLUE,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
300     bottom = y - h;
301     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
302     if (snes->ops->view) {
303       ierr = (*snes->ops->view)(snes,viewer);CHKERRQ(ierr);
304     }
305   }
306   if (snes->linesearch) {
307     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
308     ierr = SNESGetSNESLineSearch(snes, &linesearch);CHKERRQ(ierr);
309     ierr = SNESLineSearchView(linesearch, viewer);CHKERRQ(ierr);
310     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
311   }
312   if (snes->pc && snes->usespc) {
313     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
314     ierr = SNESView(snes->pc, viewer);CHKERRQ(ierr);
315     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
316   }
317   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
318   ierr = DMGetDMSNES(snes->dm,&dmsnes);CHKERRQ(ierr);
319   ierr = DMSNESView(dmsnes, viewer);CHKERRQ(ierr);
320   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
321   if (snes->usesksp) {
322     ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
323     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
324     ierr = KSPView(ksp,viewer);CHKERRQ(ierr);
325     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
326   }
327   if (isdraw) {
328     PetscDraw draw;
329     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
330     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
331   }
332   PetscFunctionReturn(0);
333 }
334 
335 /*
336   We retain a list of functions that also take SNES command
337   line options. These are called at the end SNESSetFromOptions()
338 */
339 #define MAXSETFROMOPTIONS 5
340 static PetscInt numberofsetfromoptions;
341 static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);
342 
343 #undef __FUNCT__
344 #define __FUNCT__ "SNESAddOptionsChecker"
345 /*@C
346   SNESAddOptionsChecker - Adds an additional function to check for SNES options.
347 
348   Not Collective
349 
350   Input Parameter:
351 . snescheck - function that checks for options
352 
353   Level: developer
354 
355 .seealso: SNESSetFromOptions()
356 @*/
357 PetscErrorCode  SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES))
358 {
359   PetscFunctionBegin;
360   if (numberofsetfromoptions >= MAXSETFROMOPTIONS) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %D allowed", MAXSETFROMOPTIONS);
361   othersetfromoptions[numberofsetfromoptions++] = snescheck;
362   PetscFunctionReturn(0);
363 }
364 
365 extern PetscErrorCode  SNESDefaultMatrixFreeCreate2(SNES,Vec,Mat*);
366 
367 #undef __FUNCT__
368 #define __FUNCT__ "SNESSetUpMatrixFree_Private"
369 static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
370 {
371   Mat            J;
372   KSP            ksp;
373   PC             pc;
374   PetscBool      match;
375   PetscErrorCode ierr;
376 
377   PetscFunctionBegin;
378   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
379 
380   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
381     Mat A = snes->jacobian, B = snes->jacobian_pre;
382     ierr = MatGetVecs(A ? A : B, NULL,&snes->vec_func);CHKERRQ(ierr);
383   }
384 
385   if (version == 1) {
386     ierr = MatCreateSNESMF(snes,&J);CHKERRQ(ierr);
387     ierr = MatMFFDSetOptionsPrefix(J,((PetscObject)snes)->prefix);CHKERRQ(ierr);
388     ierr = MatSetFromOptions(J);CHKERRQ(ierr);
389   } else if (version == 2) {
390     if (!snes->vec_func) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"SNESSetFunction() must be called first");
391 #if !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
392     ierr = SNESDefaultMatrixFreeCreate2(snes,snes->vec_func,&J);CHKERRQ(ierr);
393 #else
394     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP, "matrix-free operator rutines (version 2)");
395 #endif
396   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "matrix-free operator rutines, only version 1 and 2");
397 
398   ierr = PetscInfo1(snes,"Setting default matrix-free operator routines (version %D)\n", version);CHKERRQ(ierr);
399   if (hasOperator) {
400 
401     /* This version replaces the user provided Jacobian matrix with a
402        matrix-free version but still employs the user-provided preconditioner matrix. */
403     ierr = SNESSetJacobian(snes,J,0,0,0);CHKERRQ(ierr);
404   } else {
405     /* This version replaces both the user-provided Jacobian and the user-
406      provided preconditioner Jacobian with the default matrix free version. */
407     if ((snes->pcside == PC_LEFT) && snes->pc) {
408       if (!snes->jacobian){ierr = SNESSetJacobian(snes,J,0,0,0);CHKERRQ(ierr);}
409     } else {
410       ierr = SNESSetJacobian(snes,J,J,MatMFFDComputeJacobian,0);CHKERRQ(ierr);
411     }
412     /* Force no preconditioner */
413     ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
414     ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr);
415     ierr = PetscObjectTypeCompare((PetscObject)pc,PCSHELL,&match);CHKERRQ(ierr);
416     if (!match) {
417       ierr = PetscInfo(snes,"Setting default matrix-free preconditioner routines\nThat is no preconditioner is being used\n");CHKERRQ(ierr);
418       ierr = PCSetType(pc,PCNONE);CHKERRQ(ierr);
419     }
420   }
421   ierr = MatDestroy(&J);CHKERRQ(ierr);
422   PetscFunctionReturn(0);
423 }
424 
425 #undef __FUNCT__
426 #define __FUNCT__ "DMRestrictHook_SNESVecSol"
427 static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine,Mat Restrict,Vec Rscale,Mat Inject,DM dmcoarse,void *ctx)
428 {
429   SNES           snes = (SNES)ctx;
430   PetscErrorCode ierr;
431   Vec            Xfine,Xfine_named = NULL,Xcoarse;
432 
433   PetscFunctionBegin;
434   if (PetscLogPrintInfo) {
435     PetscInt finelevel,coarselevel,fineclevel,coarseclevel;
436     ierr = DMGetRefineLevel(dmfine,&finelevel);CHKERRQ(ierr);
437     ierr = DMGetCoarsenLevel(dmfine,&fineclevel);CHKERRQ(ierr);
438     ierr = DMGetRefineLevel(dmcoarse,&coarselevel);CHKERRQ(ierr);
439     ierr = DMGetCoarsenLevel(dmcoarse,&coarseclevel);CHKERRQ(ierr);
440     ierr = PetscInfo4(dmfine,"Restricting SNES solution vector from level %D-%D to level %D-%D\n",finelevel,fineclevel,coarselevel,coarseclevel);CHKERRQ(ierr);
441   }
442   if (dmfine == snes->dm) Xfine = snes->vec_sol;
443   else {
444     ierr  = DMGetNamedGlobalVector(dmfine,"SNESVecSol",&Xfine_named);CHKERRQ(ierr);
445     Xfine = Xfine_named;
446   }
447   ierr = DMGetNamedGlobalVector(dmcoarse,"SNESVecSol",&Xcoarse);CHKERRQ(ierr);
448   ierr = MatRestrict(Restrict,Xfine,Xcoarse);CHKERRQ(ierr);
449   ierr = VecPointwiseMult(Xcoarse,Xcoarse,Rscale);CHKERRQ(ierr);
450   ierr = DMRestoreNamedGlobalVector(dmcoarse,"SNESVecSol",&Xcoarse);CHKERRQ(ierr);
451   if (Xfine_named) {ierr = DMRestoreNamedGlobalVector(dmfine,"SNESVecSol",&Xfine_named);CHKERRQ(ierr);}
452   PetscFunctionReturn(0);
453 }
454 
455 #undef __FUNCT__
456 #define __FUNCT__ "DMCoarsenHook_SNESVecSol"
457 static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm,DM dmc,void *ctx)
458 {
459   PetscErrorCode ierr;
460 
461   PetscFunctionBegin;
462   ierr = DMCoarsenHookAdd(dmc,DMCoarsenHook_SNESVecSol,DMRestrictHook_SNESVecSol,ctx);CHKERRQ(ierr);
463   PetscFunctionReturn(0);
464 }
465 
466 #undef __FUNCT__
467 #define __FUNCT__ "KSPComputeOperators_SNES"
468 /* This may be called to rediscretize the operator on levels of linear multigrid. The DM shuffle is so the user can
469  * safely call SNESGetDM() in their residual evaluation routine. */
470 static PetscErrorCode KSPComputeOperators_SNES(KSP ksp,Mat A,Mat B,MatStructure *mstruct,void *ctx)
471 {
472   SNES           snes = (SNES)ctx;
473   PetscErrorCode ierr;
474   Mat            Asave = A,Bsave = B;
475   Vec            X,Xnamed = NULL;
476   DM             dmsave;
477   void           *ctxsave;
478   PetscErrorCode (*jac)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
479 
480   PetscFunctionBegin;
481   dmsave = snes->dm;
482   ierr   = KSPGetDM(ksp,&snes->dm);CHKERRQ(ierr);
483   if (dmsave == snes->dm) X = snes->vec_sol; /* We are on the finest level */
484   else {                                     /* We are on a coarser level, this vec was initialized using a DM restrict hook */
485     ierr = DMGetNamedGlobalVector(snes->dm,"SNESVecSol",&Xnamed);CHKERRQ(ierr);
486     X    = Xnamed;
487     ierr = SNESGetJacobian(snes,NULL,NULL,&jac,&ctxsave);CHKERRQ(ierr);
488     /* If the DM's don't match up, the MatFDColoring context needed for the jacobian won't match up either -- fixit. */
489     if (jac == SNESComputeJacobianDefaultColor) {
490       ierr = SNESSetJacobian(snes,NULL,NULL,SNESComputeJacobianDefaultColor,0);CHKERRQ(ierr);
491     }
492   }
493   /* put the previous context back */
494 
495   ierr = SNESComputeJacobian(snes,X,&A,&B,mstruct);CHKERRQ(ierr);
496   if (snes->dm != dmsave && jac == SNESComputeJacobianDefaultColor) {
497     ierr = SNESSetJacobian(snes,NULL,NULL,jac,ctxsave);CHKERRQ(ierr);
498   }
499 
500   if (A != Asave || B != Bsave) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_SUP,"No support for changing matrices at this time");
501   if (Xnamed) {
502     ierr = DMRestoreNamedGlobalVector(snes->dm,"SNESVecSol",&Xnamed);CHKERRQ(ierr);
503   }
504   snes->dm = dmsave;
505   PetscFunctionReturn(0);
506 }
507 
508 #undef __FUNCT__
509 #define __FUNCT__ "SNESSetUpMatrices"
510 /*@
511    SNESSetUpMatrices - ensures that matrices are available for SNES, to be called by SNESSetUp_XXX()
512 
513    Collective
514 
515    Input Arguments:
516 .  snes - snes to configure
517 
518    Level: developer
519 
520 .seealso: SNESSetUp()
521 @*/
522 PetscErrorCode SNESSetUpMatrices(SNES snes)
523 {
524   PetscErrorCode ierr;
525   DM             dm;
526   DMSNES         sdm;
527 
528   PetscFunctionBegin;
529   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
531   if (!sdm->ops->computejacobian) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_PLIB,"DMSNES not properly configured");
532   else if (!snes->jacobian && snes->mf) {
533     Mat  J;
534     void *functx;
535     ierr = MatCreateSNESMF(snes,&J);CHKERRQ(ierr);
536     ierr = MatMFFDSetOptionsPrefix(J,((PetscObject)snes)->prefix);CHKERRQ(ierr);
537     ierr = MatSetFromOptions(J);CHKERRQ(ierr);
538     ierr = SNESGetFunction(snes,NULL,NULL,&functx);CHKERRQ(ierr);
539     ierr = SNESSetJacobian(snes,J,J,0,0);CHKERRQ(ierr);
540     ierr = MatDestroy(&J);CHKERRQ(ierr);
541   } else if (snes->mf_operator && !snes->jacobian_pre && !snes->jacobian) {
542     Mat J,B;
543     ierr = MatCreateSNESMF(snes,&J);CHKERRQ(ierr);
544     ierr = MatMFFDSetOptionsPrefix(J,((PetscObject)snes)->prefix);CHKERRQ(ierr);
545     ierr = MatSetFromOptions(J);CHKERRQ(ierr);
546     ierr = DMCreateMatrix(snes->dm,MATAIJ,&B);CHKERRQ(ierr);
547     /* sdm->computejacobian was already set to reach here */
548     ierr = SNESSetJacobian(snes,J,B,NULL,NULL);CHKERRQ(ierr);
549     ierr = MatDestroy(&J);CHKERRQ(ierr);
550     ierr = MatDestroy(&B);CHKERRQ(ierr);
551   } else if (!snes->jacobian_pre) {
552     Mat J,B;
553     J    = snes->jacobian;
554     ierr = DMCreateMatrix(snes->dm,MATAIJ,&B);CHKERRQ(ierr);
555     ierr = SNESSetJacobian(snes,J ? J : B,B,NULL,NULL);CHKERRQ(ierr);
556     ierr = MatDestroy(&B);CHKERRQ(ierr);
557   }
558   {
559     KSP ksp;
560     ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
561     ierr = KSPSetComputeOperators(ksp,KSPComputeOperators_SNES,snes);CHKERRQ(ierr);
562     ierr = DMCoarsenHookAdd(snes->dm,DMCoarsenHook_SNESVecSol,DMRestrictHook_SNESVecSol,snes);CHKERRQ(ierr);
563   }
564   PetscFunctionReturn(0);
565 }
566 
567 #undef __FUNCT__
568 #define __FUNCT__ "SNESSetFromOptions"
569 /*@
570    SNESSetFromOptions - Sets various SNES and KSP parameters from user options.
571 
572    Collective on SNES
573 
574    Input Parameter:
575 .  snes - the SNES context
576 
577    Options Database Keys:
578 +  -snes_type <type> - ls, tr, ngmres, ncg, richardson, qn, vi, fas
579 .  -snes_stol - convergence tolerance in terms of the norm
580                 of the change in the solution between steps
581 .  -snes_atol <abstol> - absolute tolerance of residual norm
582 .  -snes_rtol <rtol> - relative decrease in tolerance norm from initial
583 .  -snes_max_it <max_it> - maximum number of iterations
584 .  -snes_max_funcs <max_funcs> - maximum number of function evaluations
585 .  -snes_max_fail <max_fail> - maximum number of line search failures allowed before stopping, default is none
586 .  -snes_max_linear_solve_fail - number of linear solver failures before SNESSolve() stops
587 .  -snes_lag_preconditioner <lag> - how often preconditioner is rebuilt (use -1 to never rebuild)
588 .  -snes_lag_jacobian <lag> - how often Jacobian is rebuilt (use -1 to never rebuild)
589 .  -snes_trtol <trtol> - trust region tolerance
590 .  -snes_no_convergence_test - skip convergence test in nonlinear
591                                solver; hence iterations will continue until max_it
592                                or some other criterion is reached. Saves expense
593                                of convergence test
594 .  -snes_monitor <optional filename> - prints residual norm at each iteration. if no
595                                        filename given prints to stdout
596 .  -snes_monitor_solution - plots solution at each iteration
597 .  -snes_monitor_residual - plots residual (not its norm) at each iteration
598 .  -snes_monitor_solution_update - plots update to solution at each iteration
599 .  -snes_monitor_lg_residualnorm - plots residual norm at each iteration
600 .  -snes_monitor_lg_range - plots residual norm at each iteration
601 .  -snes_fd - use finite differences to compute Jacobian; very slow, only for testing
602 .  -snes_fd_color - use finite differences with coloring to compute Jacobian
603 .  -snes_mf_ksp_monitor - if using matrix-free multiply then print h at each KSP iteration
604 -  -snes_converged_reason - print the reason for convergence/divergence after each solve
605 
606     Options Database for Eisenstat-Walker method:
607 +  -snes_ksp_ew - use Eisenstat-Walker method for determining linear system convergence
608 .  -snes_ksp_ew_version ver - version of  Eisenstat-Walker method
609 .  -snes_ksp_ew_rtol0 <rtol0> - Sets rtol0
610 .  -snes_ksp_ew_rtolmax <rtolmax> - Sets rtolmax
611 .  -snes_ksp_ew_gamma <gamma> - Sets gamma
612 .  -snes_ksp_ew_alpha <alpha> - Sets alpha
613 .  -snes_ksp_ew_alpha2 <alpha2> - Sets alpha2
614 -  -snes_ksp_ew_threshold <threshold> - Sets threshold
615 
616    Notes:
617    To see all options, run your program with the -help option or consult
618    the <A href="../../docs/manual.pdf#nameddest=ch_snes">SNES chapter of the users manual</A>.
619 
620    Level: beginner
621 
622 .keywords: SNES, nonlinear, set, options, database
623 
624 .seealso: SNESSetOptionsPrefix()
625 @*/
626 PetscErrorCode  SNESSetFromOptions(SNES snes)
627 {
628   PetscBool      flg,pcset;
629   PetscInt       i,indx,lag,grids;
630   MatStructure   matflag;
631   const char     *deft        = SNESNEWTONLS;
632   const char     *convtests[] = {"default","skip"};
633   SNESKSPEW      *kctx        = NULL;
634   char           type[256], monfilename[PETSC_MAX_PATH_LEN];
635   PetscViewer    monviewer;
636   PetscErrorCode ierr;
637   PCSide         pcside;
638   const char     *optionsprefix;
639 
640   PetscFunctionBegin;
641   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
642 
643   if (!SNESRegisterAllCalled) {ierr = SNESRegisterAll(NULL);CHKERRQ(ierr);}
644   ierr = PetscObjectOptionsBegin((PetscObject)snes);CHKERRQ(ierr);
645   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
646   ierr = PetscOptionsList("-snes_type","Nonlinear solver method","SNESSetType",SNESList,deft,type,256,&flg);CHKERRQ(ierr);
647   if (flg) {
648     ierr = SNESSetType(snes,type);CHKERRQ(ierr);
649   } else if (!((PetscObject)snes)->type_name) {
650     ierr = SNESSetType(snes,deft);CHKERRQ(ierr);
651   }
652   /* not used here, but called so will go into help messaage */
653   ierr = PetscOptionsName("-snes_view","Print detailed information on solver used","SNESView",0);CHKERRQ(ierr);
654 
655   ierr = PetscOptionsReal("-snes_stol","Stop if step length less than","SNESSetTolerances",snes->stol,&snes->stol,0);CHKERRQ(ierr);
656   ierr = PetscOptionsReal("-snes_atol","Stop if function norm less than","SNESSetTolerances",snes->abstol,&snes->abstol,0);CHKERRQ(ierr);
657 
658   ierr = PetscOptionsReal("-snes_rtol","Stop if decrease in function norm less than","SNESSetTolerances",snes->rtol,&snes->rtol,0);CHKERRQ(ierr);
659   ierr = PetscOptionsInt("-snes_max_it","Maximum iterations","SNESSetTolerances",snes->max_its,&snes->max_its,NULL);CHKERRQ(ierr);
660   ierr = PetscOptionsInt("-snes_max_funcs","Maximum function evaluations","SNESSetTolerances",snes->max_funcs,&snes->max_funcs,NULL);CHKERRQ(ierr);
661   ierr = PetscOptionsInt("-snes_max_fail","Maximum nonlinear step failures","SNESSetMaxNonlinearStepFailures",snes->maxFailures,&snes->maxFailures,NULL);CHKERRQ(ierr);
662   ierr = PetscOptionsInt("-snes_max_linear_solve_fail","Maximum failures in linear solves allowed","SNESSetMaxLinearSolveFailures",snes->maxLinearSolveFailures,&snes->maxLinearSolveFailures,NULL);CHKERRQ(ierr);
663   ierr = PetscOptionsBool("-snes_error_if_not_converged","Generate error if solver does not converge","SNESSetErrorIfNotConverged",snes->errorifnotconverged,&snes->errorifnotconverged,NULL);CHKERRQ(ierr);
664 
665   ierr = PetscOptionsInt("-snes_lag_preconditioner","How often to rebuild preconditioner","SNESSetLagPreconditioner",snes->lagpreconditioner,&lag,&flg);CHKERRQ(ierr);
666   if (flg) {
667     ierr = SNESSetLagPreconditioner(snes,lag);CHKERRQ(ierr);
668   }
669   ierr = PetscOptionsInt("-snes_lag_jacobian","How often to rebuild Jacobian","SNESSetLagJacobian",snes->lagjacobian,&lag,&flg);CHKERRQ(ierr);
670   if (flg) {
671     ierr = SNESSetLagJacobian(snes,lag);CHKERRQ(ierr);
672   }
673   ierr = PetscOptionsInt("-snes_grid_sequence","Use grid sequencing to generate initial guess","SNESSetGridSequence",snes->gridsequence,&grids,&flg);CHKERRQ(ierr);
674   if (flg) {
675     ierr = SNESSetGridSequence(snes,grids);CHKERRQ(ierr);
676   }
677 
678   ierr = PetscOptionsEList("-snes_convergence_test","Convergence test","SNESSetConvergenceTest",convtests,2,"default",&indx,&flg);CHKERRQ(ierr);
679   if (flg) {
680     switch (indx) {
681     case 0: ierr = SNESSetConvergenceTest(snes,SNESConvergedDefault,NULL,NULL);CHKERRQ(ierr); break;
682     case 1: ierr = SNESSetConvergenceTest(snes,SNESSkipConverged,NULL,NULL);CHKERRQ(ierr);    break;
683     }
684   }
685 
686   ierr = PetscOptionsBool("-snes_converged_reason","Print reason for converged or diverged","SNESSolve",snes->printreason,&snes->printreason,NULL);CHKERRQ(ierr);
687 
688   ierr = PetscOptionsEList("-snes_norm_type","SNES Norm type","SNESSetNormType",SNESNormTypes,5,"function",&indx,&flg);CHKERRQ(ierr);
689   if (flg) { ierr = SNESSetNormType(snes,(SNESNormType)indx);CHKERRQ(ierr); }
690 
691   kctx = (SNESKSPEW*)snes->kspconvctx;
692 
693   ierr = PetscOptionsBool("-snes_ksp_ew","Use Eisentat-Walker linear system convergence test","SNESKSPSetUseEW",snes->ksp_ewconv,&snes->ksp_ewconv,NULL);CHKERRQ(ierr);
694 
695   ierr = PetscOptionsInt("-snes_ksp_ew_version","Version 1, 2 or 3","SNESKSPSetParametersEW",kctx->version,&kctx->version,0);CHKERRQ(ierr);
696   ierr = PetscOptionsReal("-snes_ksp_ew_rtol0","0 <= rtol0 < 1","SNESKSPSetParametersEW",kctx->rtol_0,&kctx->rtol_0,0);CHKERRQ(ierr);
697   ierr = PetscOptionsReal("-snes_ksp_ew_rtolmax","0 <= rtolmax < 1","SNESKSPSetParametersEW",kctx->rtol_max,&kctx->rtol_max,0);CHKERRQ(ierr);
698   ierr = PetscOptionsReal("-snes_ksp_ew_gamma","0 <= gamma <= 1","SNESKSPSetParametersEW",kctx->gamma,&kctx->gamma,0);CHKERRQ(ierr);
699   ierr = PetscOptionsReal("-snes_ksp_ew_alpha","1 < alpha <= 2","SNESKSPSetParametersEW",kctx->alpha,&kctx->alpha,0);CHKERRQ(ierr);
700   ierr = PetscOptionsReal("-snes_ksp_ew_alpha2","alpha2","SNESKSPSetParametersEW",kctx->alpha2,&kctx->alpha2,0);CHKERRQ(ierr);
701   ierr = PetscOptionsReal("-snes_ksp_ew_threshold","0 < threshold < 1","SNESKSPSetParametersEW",kctx->threshold,&kctx->threshold,0);CHKERRQ(ierr);
702 
703   flg  = PETSC_FALSE;
704   ierr = PetscOptionsBool("-snes_check_jacobian","Check each Jacobian with a differenced one","SNESUpdateCheckJacobian",flg,&flg,NULL);CHKERRQ(ierr);
705   if (flg) {
706     ierr = SNESSetUpdate(snes,SNESUpdateCheckJacobian);CHKERRQ(ierr);
707   }
708 
709   flg  = PETSC_FALSE;
710   ierr = PetscOptionsBool("-snes_monitor_cancel","Remove all monitors","SNESMonitorCancel",flg,&flg,NULL);CHKERRQ(ierr);
711   if (flg) {ierr = SNESMonitorCancel(snes);CHKERRQ(ierr);}
712 
713   ierr = PetscOptionsString("-snes_monitor","Monitor norm of function","SNESMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
714   if (flg) {
715     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)snes),monfilename,&monviewer);CHKERRQ(ierr);
716     ierr = SNESMonitorSet(snes,SNESMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
717   }
718 
719   ierr = PetscOptionsString("-snes_monitor_range","Monitor range of elements of function","SNESMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
720   if (flg) {
721     ierr = SNESMonitorSet(snes,SNESMonitorRange,0,0);CHKERRQ(ierr);
722   }
723 
724   ierr = PetscOptionsString("-snes_ratiomonitor","Monitor ratios of norms of function","SNESMonitorSetRatio","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
725   if (flg) {
726     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)snes),monfilename,&monviewer);CHKERRQ(ierr);
727     ierr = SNESMonitorSetRatio(snes,monviewer);CHKERRQ(ierr);
728   }
729 
730   ierr = PetscOptionsString("-snes_monitor_short","Monitor norm of function (fewer digits)","SNESMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
731   if (flg) {
732     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)snes),monfilename,&monviewer);CHKERRQ(ierr);
733     ierr = SNESMonitorSet(snes,SNESMonitorDefaultShort,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
734   }
735 
736   ierr = PetscOptionsString("-snes_monitor_python","Use Python function","SNESMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
737   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)snes,monfilename);CHKERRQ(ierr);}
738 
739   flg  = PETSC_FALSE;
740   ierr = PetscOptionsBool("-snes_monitor_solution","Plot solution at each iteration","SNESMonitorSolution",flg,&flg,NULL);CHKERRQ(ierr);
741   if (flg) {ierr = SNESMonitorSet(snes,SNESMonitorSolution,0,0);CHKERRQ(ierr);}
742   flg  = PETSC_FALSE;
743   ierr = PetscOptionsBool("-snes_monitor_solution_update","Plot correction at each iteration","SNESMonitorSolutionUpdate",flg,&flg,NULL);CHKERRQ(ierr);
744   if (flg) {ierr = SNESMonitorSet(snes,SNESMonitorSolutionUpdate,0,0);CHKERRQ(ierr);}
745   flg  = PETSC_FALSE;
746   ierr = PetscOptionsBool("-snes_monitor_residual","Plot residual at each iteration","SNESMonitorResidual",flg,&flg,NULL);CHKERRQ(ierr);
747   if (flg) {ierr = SNESMonitorSet(snes,SNESMonitorResidual,0,0);CHKERRQ(ierr);}
748   flg  = PETSC_FALSE;
749   ierr = PetscOptionsBool("-snes_monitor_lg_residualnorm","Plot function norm at each iteration","SNESMonitorLGResidualNorm",flg,&flg,NULL);CHKERRQ(ierr);
750   if (flg) {
751     PetscDrawLG ctx;
752 
753     ierr = SNESMonitorLGCreate(0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,&ctx);CHKERRQ(ierr);
754     ierr = SNESMonitorSet(snes,SNESMonitorLGResidualNorm,ctx,(PetscErrorCode (*)(void**))SNESMonitorLGDestroy);CHKERRQ(ierr);
755   }
756   flg  = PETSC_FALSE;
757   ierr = PetscOptionsBool("-snes_monitor_lg_range","Plot function range at each iteration","SNESMonitorLGRange",flg,&flg,NULL);CHKERRQ(ierr);
758   if (flg) {
759     PetscViewer ctx;
760 
761     ierr = PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,&ctx);CHKERRQ(ierr);
762     ierr = SNESMonitorSet(snes,SNESMonitorLGRange,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
763   }
764 
765   flg  = PETSC_FALSE;
766   ierr = PetscOptionsBool("-snes_monitor_jacupdate_spectrum","Print the change in the spectrum of the Jacobian","SNESMonitorJacUpdateSpectrum",flg,&flg,NULL);CHKERRQ(ierr);
767   if (flg) {ierr = SNESMonitorSet(snes,SNESMonitorJacUpdateSpectrum,0,0);CHKERRQ(ierr);}
768 
769   flg  = PETSC_FALSE;
770   ierr = PetscOptionsBool("-snes_fd","Use finite differences (slow) to compute Jacobian","SNESComputeJacobianDefault",flg,&flg,NULL);CHKERRQ(ierr);
771   if (flg) {
772     void *functx;
773     ierr = SNESGetFunction(snes,NULL,NULL,&functx);CHKERRQ(ierr);
774     ierr = SNESSetJacobian(snes,snes->jacobian,snes->jacobian_pre,SNESComputeJacobianDefault,functx);CHKERRQ(ierr);
775     ierr = PetscInfo(snes,"Setting default finite difference Jacobian matrix\n");CHKERRQ(ierr);
776   }
777 
778   flg  = PETSC_FALSE;
779   ierr = PetscOptionsBool("-snes_fd_function","Use finite differences (slow) to compute function from user objective","SNESObjectiveComputeFunctionDefaultFD",flg,&flg,NULL);CHKERRQ(ierr);
780   if (flg) {
781     ierr = SNESSetFunction(snes,NULL,SNESObjectiveComputeFunctionDefaultFD,NULL);CHKERRQ(ierr);
782   }
783 
784   flg  = PETSC_FALSE;
785   ierr = PetscOptionsBool("-snes_fd_color","Use finite differences with coloring to compute Jacobian","SNESComputeJacobianDefaultColor",flg,&flg,NULL);CHKERRQ(ierr);
786   if (flg) {
787     void *functx;
788     ierr = SNESGetFunction(snes,NULL,NULL,&functx);CHKERRQ(ierr);
789     ierr = SNESSetJacobian(snes,snes->jacobian,snes->jacobian_pre,SNESComputeJacobianDefaultColor,0);CHKERRQ(ierr);
790     ierr = PetscInfo(snes,"Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
791   }
792 
793   flg  = PETSC_FALSE;
794   ierr = PetscOptionsBool("-snes_mf_operator","Use a Matrix-Free Jacobian with user-provided preconditioner matrix","MatCreateSNESMF",PETSC_FALSE,&snes->mf_operator,&flg);CHKERRQ(ierr);
795   if (flg && snes->mf_operator) {
796     snes->mf_operator = PETSC_TRUE;
797     snes->mf          = PETSC_TRUE;
798   }
799   flg  = PETSC_FALSE;
800   ierr = PetscOptionsBool("-snes_mf","Use a Matrix-Free Jacobian with no preconditioner matrix","MatCreateSNESMF",PETSC_FALSE,&snes->mf,&flg);CHKERRQ(ierr);
801   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
802   ierr = PetscOptionsInt("-snes_mf_version","Matrix-Free routines version 1 or 2","None",snes->mf_version,&snes->mf_version,0);CHKERRQ(ierr);
803 
804   flg  = PETSC_FALSE;
805   ierr = SNESGetPCSide(snes,&pcside);CHKERRQ(ierr);
806   ierr = PetscOptionsEnum("-snes_npc_side","SNES nonlinear preconditioner side","SNESSetPCSide",PCSides,(PetscEnum)pcside,(PetscEnum*)&pcside,&flg);CHKERRQ(ierr);
807   if (flg) {ierr = SNESSetPCSide(snes,pcside);CHKERRQ(ierr);}
808 
809   for (i = 0; i < numberofsetfromoptions; i++) {
810     ierr = (*othersetfromoptions[i])(snes);CHKERRQ(ierr);
811   }
812 
813   if (snes->ops->setfromoptions) {
814     ierr = (*snes->ops->setfromoptions)(snes);CHKERRQ(ierr);
815   }
816 
817   /* process any options handlers added with PetscObjectAddOptionsHandler() */
818   ierr = PetscObjectProcessOptionsHandlers((PetscObject)snes);CHKERRQ(ierr);
819   ierr = PetscOptionsEnd();CHKERRQ(ierr);
820 
821   if (!snes->ksp) {ierr = SNESGetKSP(snes,&snes->ksp);CHKERRQ(ierr);}
822   ierr = KSPGetOperators(snes->ksp,NULL,NULL,&matflag);CHKERRQ(ierr);
823   ierr = KSPSetOperators(snes->ksp,snes->jacobian,snes->jacobian_pre,matflag);CHKERRQ(ierr);
824   ierr = KSPSetFromOptions(snes->ksp);CHKERRQ(ierr);
825 
826   if (!snes->linesearch) {
827     ierr = SNESGetSNESLineSearch(snes, &snes->linesearch);CHKERRQ(ierr);
828   }
829   ierr = SNESLineSearchSetFromOptions(snes->linesearch);CHKERRQ(ierr);
830 
831   /* if someone has set the SNES PC type, create it. */
832   ierr = SNESGetOptionsPrefix(snes, &optionsprefix);CHKERRQ(ierr);
833   ierr = PetscOptionsHasName(optionsprefix, "-npc_snes_type", &pcset);CHKERRQ(ierr);
834   if (pcset && (!snes->pc)) {
835     ierr = SNESGetPC(snes, &snes->pc);CHKERRQ(ierr);
836   }
837   PetscFunctionReturn(0);
838 }
839 
840 #undef __FUNCT__
841 #define __FUNCT__ "SNESSetComputeApplicationContext"
842 /*@
843    SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
844    the nonlinear solvers.
845 
846    Logically Collective on SNES
847 
848    Input Parameters:
849 +  snes - the SNES context
850 .  compute - function to compute the context
851 -  destroy - function to destroy the context
852 
853    Level: intermediate
854 
855 .keywords: SNES, nonlinear, set, application, context
856 
857 .seealso: SNESGetApplicationContext(), SNESSetComputeApplicationContext(), SNESGetApplicationContext()
858 @*/
859 PetscErrorCode  SNESSetComputeApplicationContext(SNES snes,PetscErrorCode (*compute)(SNES,void**),PetscErrorCode (*destroy)(void**))
860 {
861   PetscFunctionBegin;
862   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
863   snes->ops->usercompute = compute;
864   snes->ops->userdestroy = destroy;
865   PetscFunctionReturn(0);
866 }
867 
868 #undef __FUNCT__
869 #define __FUNCT__ "SNESSetApplicationContext"
870 /*@
871    SNESSetApplicationContext - Sets the optional user-defined context for
872    the nonlinear solvers.
873 
874    Logically Collective on SNES
875 
876    Input Parameters:
877 +  snes - the SNES context
878 -  usrP - optional user context
879 
880    Level: intermediate
881 
882 .keywords: SNES, nonlinear, set, application, context
883 
884 .seealso: SNESGetApplicationContext()
885 @*/
886 PetscErrorCode  SNESSetApplicationContext(SNES snes,void *usrP)
887 {
888   PetscErrorCode ierr;
889   KSP            ksp;
890 
891   PetscFunctionBegin;
892   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
893   ierr       = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
894   ierr       = KSPSetApplicationContext(ksp,usrP);CHKERRQ(ierr);
895   snes->user = usrP;
896   PetscFunctionReturn(0);
897 }
898 
899 #undef __FUNCT__
900 #define __FUNCT__ "SNESGetApplicationContext"
901 /*@
902    SNESGetApplicationContext - Gets the user-defined context for the
903    nonlinear solvers.
904 
905    Not Collective
906 
907    Input Parameter:
908 .  snes - SNES context
909 
910    Output Parameter:
911 .  usrP - user context
912 
913    Level: intermediate
914 
915 .keywords: SNES, nonlinear, get, application, context
916 
917 .seealso: SNESSetApplicationContext()
918 @*/
919 PetscErrorCode  SNESGetApplicationContext(SNES snes,void *usrP)
920 {
921   PetscFunctionBegin;
922   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
923   *(void**)usrP = snes->user;
924   PetscFunctionReturn(0);
925 }
926 
927 #undef __FUNCT__
928 #define __FUNCT__ "SNESGetIterationNumber"
929 /*@
930    SNESGetIterationNumber - Gets the number of nonlinear iterations completed
931    at this time.
932 
933    Not Collective
934 
935    Input Parameter:
936 .  snes - SNES context
937 
938    Output Parameter:
939 .  iter - iteration number
940 
941    Notes:
942    For example, during the computation of iteration 2 this would return 1.
943 
944    This is useful for using lagged Jacobians (where one does not recompute the
945    Jacobian at each SNES iteration). For example, the code
946 .vb
947       ierr = SNESGetIterationNumber(snes,&it);
948       if (!(it % 2)) {
949         [compute Jacobian here]
950       }
951 .ve
952    can be used in your ComputeJacobian() function to cause the Jacobian to be
953    recomputed every second SNES iteration.
954 
955    Level: intermediate
956 
957 .keywords: SNES, nonlinear, get, iteration, number,
958 
959 .seealso:   SNESGetFunctionNorm(), SNESGetLinearSolveIterations()
960 @*/
961 PetscErrorCode  SNESGetIterationNumber(SNES snes,PetscInt *iter)
962 {
963   PetscFunctionBegin;
964   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
965   PetscValidIntPointer(iter,2);
966   *iter = snes->iter;
967   PetscFunctionReturn(0);
968 }
969 
970 #undef __FUNCT__
971 #define __FUNCT__ "SNESSetIterationNumber"
972 /*@
973    SNESSetIterationNumber - Sets the current iteration number.
974 
975    Not Collective
976 
977    Input Parameter:
978 .  snes - SNES context
979 .  iter - iteration number
980 
981    Level: developer
982 
983 .keywords: SNES, nonlinear, set, iteration, number,
984 
985 .seealso:   SNESGetFunctionNorm(), SNESGetLinearSolveIterations()
986 @*/
987 PetscErrorCode  SNESSetIterationNumber(SNES snes,PetscInt iter)
988 {
989   PetscErrorCode ierr;
990 
991   PetscFunctionBegin;
992   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
993   ierr       = PetscObjectTakeAccess(snes);CHKERRQ(ierr);
994   snes->iter = iter;
995   ierr       = PetscObjectGrantAccess(snes);CHKERRQ(ierr);
996   PetscFunctionReturn(0);
997 }
998 
999 #undef __FUNCT__
1000 #define __FUNCT__ "SNESGetFunctionNorm"
1001 /*@
1002    SNESGetFunctionNorm - Gets the norm of the current function that was set
1003    with SNESSSetFunction().
1004 
1005    Collective on SNES
1006 
1007    Input Parameter:
1008 .  snes - SNES context
1009 
1010    Output Parameter:
1011 .  fnorm - 2-norm of function
1012 
1013    Level: intermediate
1014 
1015 .keywords: SNES, nonlinear, get, function, norm
1016 
1017 .seealso: SNESGetFunction(), SNESGetIterationNumber(), SNESGetLinearSolveIterations()
1018 @*/
1019 PetscErrorCode  SNESGetFunctionNorm(SNES snes,PetscReal *fnorm)
1020 {
1021   PetscFunctionBegin;
1022   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1023   PetscValidScalarPointer(fnorm,2);
1024   *fnorm = snes->norm;
1025   PetscFunctionReturn(0);
1026 }
1027 
1028 
1029 #undef __FUNCT__
1030 #define __FUNCT__ "SNESSetFunctionNorm"
1031 /*@
1032    SNESSetFunctionNorm - Sets the 2-norm of the current function computed using VecNorm().
1033 
1034    Collective on SNES
1035 
1036    Input Parameter:
1037 .  snes - SNES context
1038 .  fnorm - 2-norm of function
1039 
1040    Level: developer
1041 
1042 .keywords: SNES, nonlinear, set, function, norm
1043 
1044 .seealso: SNESSetFunction(), SNESSetIterationNumber(), VecNorm().
1045 @*/
1046 PetscErrorCode  SNESSetFunctionNorm(SNES snes,PetscReal fnorm)
1047 {
1048 
1049   PetscErrorCode ierr;
1050 
1051   PetscFunctionBegin;
1052   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1053   ierr       = PetscObjectTakeAccess(snes);CHKERRQ(ierr);
1054   snes->norm = fnorm;
1055   ierr       = PetscObjectGrantAccess(snes);CHKERRQ(ierr);
1056   PetscFunctionReturn(0);
1057 }
1058 
1059 #undef __FUNCT__
1060 #define __FUNCT__ "SNESGetNonlinearStepFailures"
1061 /*@
1062    SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1063    attempted by the nonlinear solver.
1064 
1065    Not Collective
1066 
1067    Input Parameter:
1068 .  snes - SNES context
1069 
1070    Output Parameter:
1071 .  nfails - number of unsuccessful steps attempted
1072 
1073    Notes:
1074    This counter is reset to zero for each successive call to SNESSolve().
1075 
1076    Level: intermediate
1077 
1078 .keywords: SNES, nonlinear, get, number, unsuccessful, steps
1079 
1080 .seealso: SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures(), SNESGetLinearSolveFailures(),
1081           SNESSetMaxNonlinearStepFailures(), SNESGetMaxNonlinearStepFailures()
1082 @*/
1083 PetscErrorCode  SNESGetNonlinearStepFailures(SNES snes,PetscInt *nfails)
1084 {
1085   PetscFunctionBegin;
1086   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1087   PetscValidIntPointer(nfails,2);
1088   *nfails = snes->numFailures;
1089   PetscFunctionReturn(0);
1090 }
1091 
1092 #undef __FUNCT__
1093 #define __FUNCT__ "SNESSetMaxNonlinearStepFailures"
1094 /*@
1095    SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1096    attempted by the nonlinear solver before it gives up.
1097 
1098    Not Collective
1099 
1100    Input Parameters:
1101 +  snes     - SNES context
1102 -  maxFails - maximum of unsuccessful steps
1103 
1104    Level: intermediate
1105 
1106 .keywords: SNES, nonlinear, set, maximum, unsuccessful, steps
1107 
1108 .seealso: SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures(), SNESGetLinearSolveFailures(),
1109           SNESGetMaxNonlinearStepFailures(), SNESGetNonlinearStepFailures()
1110 @*/
1111 PetscErrorCode  SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1112 {
1113   PetscFunctionBegin;
1114   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1115   snes->maxFailures = maxFails;
1116   PetscFunctionReturn(0);
1117 }
1118 
1119 #undef __FUNCT__
1120 #define __FUNCT__ "SNESGetMaxNonlinearStepFailures"
1121 /*@
1122    SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1123    attempted by the nonlinear solver before it gives up.
1124 
1125    Not Collective
1126 
1127    Input Parameter:
1128 .  snes     - SNES context
1129 
1130    Output Parameter:
1131 .  maxFails - maximum of unsuccessful steps
1132 
1133    Level: intermediate
1134 
1135 .keywords: SNES, nonlinear, get, maximum, unsuccessful, steps
1136 
1137 .seealso: SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures(), SNESGetLinearSolveFailures(),
1138           SNESSetMaxNonlinearStepFailures(), SNESGetNonlinearStepFailures()
1139 
1140 @*/
1141 PetscErrorCode  SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1142 {
1143   PetscFunctionBegin;
1144   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1145   PetscValidIntPointer(maxFails,2);
1146   *maxFails = snes->maxFailures;
1147   PetscFunctionReturn(0);
1148 }
1149 
1150 #undef __FUNCT__
1151 #define __FUNCT__ "SNESGetNumberFunctionEvals"
1152 /*@
1153    SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1154      done by SNES.
1155 
1156    Not Collective
1157 
1158    Input Parameter:
1159 .  snes     - SNES context
1160 
1161    Output Parameter:
1162 .  nfuncs - number of evaluations
1163 
1164    Level: intermediate
1165 
1166 .keywords: SNES, nonlinear, get, maximum, unsuccessful, steps
1167 
1168 .seealso: SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures(), SNESGetLinearSolveFailures()
1169 @*/
1170 PetscErrorCode  SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1171 {
1172   PetscFunctionBegin;
1173   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1174   PetscValidIntPointer(nfuncs,2);
1175   *nfuncs = snes->nfuncs;
1176   PetscFunctionReturn(0);
1177 }
1178 
1179 #undef __FUNCT__
1180 #define __FUNCT__ "SNESGetLinearSolveFailures"
1181 /*@
1182    SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1183    linear solvers.
1184 
1185    Not Collective
1186 
1187    Input Parameter:
1188 .  snes - SNES context
1189 
1190    Output Parameter:
1191 .  nfails - number of failed solves
1192 
1193    Notes:
1194    This counter is reset to zero for each successive call to SNESSolve().
1195 
1196    Level: intermediate
1197 
1198 .keywords: SNES, nonlinear, get, number, unsuccessful, steps
1199 
1200 .seealso: SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures()
1201 @*/
1202 PetscErrorCode  SNESGetLinearSolveFailures(SNES snes,PetscInt *nfails)
1203 {
1204   PetscFunctionBegin;
1205   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1206   PetscValidIntPointer(nfails,2);
1207   *nfails = snes->numLinearSolveFailures;
1208   PetscFunctionReturn(0);
1209 }
1210 
1211 #undef __FUNCT__
1212 #define __FUNCT__ "SNESSetMaxLinearSolveFailures"
1213 /*@
1214    SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1215    allowed before SNES returns with a diverged reason of SNES_DIVERGED_LINEAR_SOLVE
1216 
1217    Logically Collective on SNES
1218 
1219    Input Parameters:
1220 +  snes     - SNES context
1221 -  maxFails - maximum allowed linear solve failures
1222 
1223    Level: intermediate
1224 
1225    Notes: By default this is 0; that is SNES returns on the first failed linear solve
1226 
1227 .keywords: SNES, nonlinear, set, maximum, unsuccessful, steps
1228 
1229 .seealso: SNESGetLinearSolveFailures(), SNESGetMaxLinearSolveFailures(), SNESGetLinearSolveIterations()
1230 @*/
1231 PetscErrorCode  SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1232 {
1233   PetscFunctionBegin;
1234   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1235   PetscValidLogicalCollectiveInt(snes,maxFails,2);
1236   snes->maxLinearSolveFailures = maxFails;
1237   PetscFunctionReturn(0);
1238 }
1239 
1240 #undef __FUNCT__
1241 #define __FUNCT__ "SNESGetMaxLinearSolveFailures"
1242 /*@
1243    SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1244      are allowed before SNES terminates
1245 
1246    Not Collective
1247 
1248    Input Parameter:
1249 .  snes     - SNES context
1250 
1251    Output Parameter:
1252 .  maxFails - maximum of unsuccessful solves allowed
1253 
1254    Level: intermediate
1255 
1256    Notes: By default this is 1; that is SNES returns on the first failed linear solve
1257 
1258 .keywords: SNES, nonlinear, get, maximum, unsuccessful, steps
1259 
1260 .seealso: SNESGetLinearSolveFailures(), SNESGetLinearSolveIterations(), SNESSetMaxLinearSolveFailures(),
1261 @*/
1262 PetscErrorCode  SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1263 {
1264   PetscFunctionBegin;
1265   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1266   PetscValidIntPointer(maxFails,2);
1267   *maxFails = snes->maxLinearSolveFailures;
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 #undef __FUNCT__
1272 #define __FUNCT__ "SNESGetLinearSolveIterations"
1273 /*@
1274    SNESGetLinearSolveIterations - Gets the total number of linear iterations
1275    used by the nonlinear solver.
1276 
1277    Not Collective
1278 
1279    Input Parameter:
1280 .  snes - SNES context
1281 
1282    Output Parameter:
1283 .  lits - number of linear iterations
1284 
1285    Notes:
1286    This counter is reset to zero for each successive call to SNESSolve().
1287 
1288    Level: intermediate
1289 
1290 .keywords: SNES, nonlinear, get, number, linear, iterations
1291 
1292 .seealso:  SNESGetIterationNumber(), SNESGetFunctionNorm(), SNESGetLinearSolveFailures(), SNESGetMaxLinearSolveFailures()
1293 @*/
1294 PetscErrorCode  SNESGetLinearSolveIterations(SNES snes,PetscInt *lits)
1295 {
1296   PetscFunctionBegin;
1297   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1298   PetscValidIntPointer(lits,2);
1299   *lits = snes->linear_its;
1300   PetscFunctionReturn(0);
1301 }
1302 
1303 #undef __FUNCT__
1304 #define __FUNCT__ "SNESGetKSP"
1305 /*@
1306    SNESGetKSP - Returns the KSP context for a SNES solver.
1307 
1308    Not Collective, but if SNES object is parallel, then KSP object is parallel
1309 
1310    Input Parameter:
1311 .  snes - the SNES context
1312 
1313    Output Parameter:
1314 .  ksp - the KSP context
1315 
1316    Notes:
1317    The user can then directly manipulate the KSP context to set various
1318    options, etc.  Likewise, the user can then extract and manipulate the
1319    PC contexts as well.
1320 
1321    Level: beginner
1322 
1323 .keywords: SNES, nonlinear, get, KSP, context
1324 
1325 .seealso: KSPGetPC(), SNESCreate(), KSPCreate(), SNESSetKSP()
1326 @*/
1327 PetscErrorCode  SNESGetKSP(SNES snes,KSP *ksp)
1328 {
1329   PetscErrorCode ierr;
1330 
1331   PetscFunctionBegin;
1332   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1333   PetscValidPointer(ksp,2);
1334 
1335   if (!snes->ksp) {
1336     ierr = KSPCreate(PetscObjectComm((PetscObject)snes),&snes->ksp);CHKERRQ(ierr);
1337     ierr = PetscObjectIncrementTabLevel((PetscObject)snes->ksp,(PetscObject)snes,1);CHKERRQ(ierr);
1338     ierr = PetscLogObjectParent(snes,snes->ksp);CHKERRQ(ierr);
1339   }
1340   *ksp = snes->ksp;
1341   PetscFunctionReturn(0);
1342 }
1343 
1344 #undef __FUNCT__
1345 #define __FUNCT__ "SNESSetKSP"
1346 /*@
1347    SNESSetKSP - Sets a KSP context for the SNES object to use
1348 
1349    Not Collective, but the SNES and KSP objects must live on the same MPI_Comm
1350 
1351    Input Parameters:
1352 +  snes - the SNES context
1353 -  ksp - the KSP context
1354 
1355    Notes:
1356    The SNES object already has its KSP object, you can obtain with SNESGetKSP()
1357    so this routine is rarely needed.
1358 
1359    The KSP object that is already in the SNES object has its reference count
1360    decreased by one.
1361 
1362    Level: developer
1363 
1364 .keywords: SNES, nonlinear, get, KSP, context
1365 
1366 .seealso: KSPGetPC(), SNESCreate(), KSPCreate(), SNESSetKSP()
1367 @*/
1368 PetscErrorCode  SNESSetKSP(SNES snes,KSP ksp)
1369 {
1370   PetscErrorCode ierr;
1371 
1372   PetscFunctionBegin;
1373   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1374   PetscValidHeaderSpecific(ksp,KSP_CLASSID,2);
1375   PetscCheckSameComm(snes,1,ksp,2);
1376   ierr = PetscObjectReference((PetscObject)ksp);CHKERRQ(ierr);
1377   if (snes->ksp) {ierr = PetscObjectDereference((PetscObject)snes->ksp);CHKERRQ(ierr);}
1378   snes->ksp = ksp;
1379   PetscFunctionReturn(0);
1380 }
1381 
1382 #if 0
1383 #undef __FUNCT__
1384 #define __FUNCT__ "SNESPublish_Petsc"
1385 static PetscErrorCode SNESPublish_Petsc(PetscObject obj)
1386 {
1387   PetscFunctionBegin;
1388   PetscFunctionReturn(0);
1389 }
1390 #endif
1391 
1392 /* -----------------------------------------------------------*/
1393 #undef __FUNCT__
1394 #define __FUNCT__ "SNESCreate"
1395 /*@
1396    SNESCreate - Creates a nonlinear solver context.
1397 
1398    Collective on MPI_Comm
1399 
1400    Input Parameters:
1401 .  comm - MPI communicator
1402 
1403    Output Parameter:
1404 .  outsnes - the new SNES context
1405 
1406    Options Database Keys:
1407 +   -snes_mf - Activates default matrix-free Jacobian-vector products,
1408                and no preconditioning matrix
1409 .   -snes_mf_operator - Activates default matrix-free Jacobian-vector
1410                products, and a user-provided preconditioning matrix
1411                as set by SNESSetJacobian()
1412 -   -snes_fd - Uses (slow!) finite differences to compute Jacobian
1413 
1414    Level: beginner
1415 
1416 .keywords: SNES, nonlinear, create, context
1417 
1418 .seealso: SNESSolve(), SNESDestroy(), SNES, SNESSetLagPreconditioner()
1419 
1420 @*/
1421 PetscErrorCode  SNESCreate(MPI_Comm comm,SNES *outsnes)
1422 {
1423   PetscErrorCode ierr;
1424   SNES           snes;
1425   SNESKSPEW      *kctx;
1426 
1427   PetscFunctionBegin;
1428   PetscValidPointer(outsnes,2);
1429   *outsnes = NULL;
1430 #if !defined(PETSC_USE_DYNAMIC_LIBRARIES)
1431   ierr = SNESInitializePackage(NULL);CHKERRQ(ierr);
1432 #endif
1433 
1434   ierr = PetscHeaderCreate(snes,_p_SNES,struct _SNESOps,SNES_CLASSID,"SNES","Nonlinear solver","SNES",comm,SNESDestroy,SNESView);CHKERRQ(ierr);
1435 
1436   snes->ops->converged    = SNESConvergedDefault;
1437   snes->usesksp           = PETSC_TRUE;
1438   snes->tolerancesset     = PETSC_FALSE;
1439   snes->max_its           = 50;
1440   snes->max_funcs         = 10000;
1441   snes->norm              = 0.0;
1442   snes->normtype          = SNES_NORM_FUNCTION;
1443   snes->rtol              = 1.e-8;
1444   snes->ttol              = 0.0;
1445   snes->abstol            = 1.e-50;
1446   snes->stol              = 1.e-8;
1447   snes->deltatol          = 1.e-12;
1448   snes->nfuncs            = 0;
1449   snes->numFailures       = 0;
1450   snes->maxFailures       = 1;
1451   snes->linear_its        = 0;
1452   snes->lagjacobian       = 1;
1453   snes->lagpreconditioner = 1;
1454   snes->numbermonitors    = 0;
1455   snes->data              = 0;
1456   snes->setupcalled       = PETSC_FALSE;
1457   snes->ksp_ewconv        = PETSC_FALSE;
1458   snes->nwork             = 0;
1459   snes->work              = 0;
1460   snes->nvwork            = 0;
1461   snes->vwork             = 0;
1462   snes->conv_hist_len     = 0;
1463   snes->conv_hist_max     = 0;
1464   snes->conv_hist         = NULL;
1465   snes->conv_hist_its     = NULL;
1466   snes->conv_hist_reset   = PETSC_TRUE;
1467   snes->vec_func_init_set = PETSC_FALSE;
1468   snes->norm_init         = 0.;
1469   snes->norm_init_set     = PETSC_FALSE;
1470   snes->reason            = SNES_CONVERGED_ITERATING;
1471   snes->pcside            = PC_RIGHT;
1472 
1473   snes->mf          = PETSC_FALSE;
1474   snes->mf_operator = PETSC_FALSE;
1475   snes->mf_version  = 1;
1476 
1477   snes->numLinearSolveFailures = 0;
1478   snes->maxLinearSolveFailures = 1;
1479 
1480   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1481   ierr = PetscNewLog(snes,SNESKSPEW,&kctx);CHKERRQ(ierr);
1482 
1483   snes->kspconvctx  = (void*)kctx;
1484   kctx->version     = 2;
1485   kctx->rtol_0      = .3; /* Eisenstat and Walker suggest rtol_0=.5, but
1486                              this was too large for some test cases */
1487   kctx->rtol_last   = 0.0;
1488   kctx->rtol_max    = .9;
1489   kctx->gamma       = 1.0;
1490   kctx->alpha       = .5*(1.0 + PetscSqrtReal(5.0));
1491   kctx->alpha2      = kctx->alpha;
1492   kctx->threshold   = .1;
1493   kctx->lresid_last = 0.0;
1494   kctx->norm_last   = 0.0;
1495 
1496   *outsnes = snes;
1497   PetscFunctionReturn(0);
1498 }
1499 
1500 /*MC
1501     SNESFunction - functional form used to convey the nonlinear function to be solved by SNES
1502 
1503      Synopsis:
1504      #include "petscsnes.h"
1505      SNESFunction(SNES snes,Vec x,Vec f,void *ctx);
1506 
1507      Input Parameters:
1508 +     snes - the SNES context
1509 .     x    - state at which to evaluate residual
1510 -     ctx     - optional user-defined function context, passed in with SNESSetFunction()
1511 
1512      Output Parameter:
1513 .     f  - vector to put residual (function value)
1514 
1515 .seealso:   SNESSetFunction(), SNESGetFunction()
1516 M*/
1517 
1518 #undef __FUNCT__
1519 #define __FUNCT__ "SNESSetFunction"
1520 /*@C
1521    SNESSetFunction - Sets the function evaluation routine and function
1522    vector for use by the SNES routines in solving systems of nonlinear
1523    equations.
1524 
1525    Logically Collective on SNES
1526 
1527    Input Parameters:
1528 +  snes - the SNES context
1529 .  r - vector to store function value
1530 .  SNESFunction - function evaluation routine
1531 -  ctx - [optional] user-defined context for private data for the
1532          function evaluation routine (may be NULL)
1533 
1534    Notes:
1535    The Newton-like methods typically solve linear systems of the form
1536 $      f'(x) x = -f(x),
1537    where f'(x) denotes the Jacobian matrix and f(x) is the function.
1538 
1539    Level: beginner
1540 
1541 .keywords: SNES, nonlinear, set, function
1542 
1543 .seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESSetPicard(), SNESFunction
1544 @*/
1545 PetscErrorCode  SNESSetFunction(SNES snes,Vec r,PetscErrorCode (*SNESFunction)(SNES,Vec,Vec,void*),void *ctx)
1546 {
1547   PetscErrorCode ierr;
1548   DM             dm;
1549 
1550   PetscFunctionBegin;
1551   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1552   if (r) {
1553     PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1554     PetscCheckSameComm(snes,1,r,2);
1555     ierr = PetscObjectReference((PetscObject)r);CHKERRQ(ierr);
1556     ierr = VecDestroy(&snes->vec_func);CHKERRQ(ierr);
1557 
1558     snes->vec_func = r;
1559   }
1560   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
1561   ierr = DMSNESSetFunction(dm,SNESFunction,ctx);CHKERRQ(ierr);
1562   PetscFunctionReturn(0);
1563 }
1564 
1565 
1566 #undef __FUNCT__
1567 #define __FUNCT__ "SNESSetInitialFunction"
1568 /*@C
1569    SNESSetInitialFunction - Sets the function vector to be used as the
1570    function norm at the initialization of the method.  In some
1571    instances, the user has precomputed the function before calling
1572    SNESSolve.  This function allows one to avoid a redundant call
1573    to SNESComputeFunction in that case.
1574 
1575    Logically Collective on SNES
1576 
1577    Input Parameters:
1578 +  snes - the SNES context
1579 -  f - vector to store function value
1580 
1581    Notes:
1582    This should not be modified during the solution procedure.
1583 
1584    This is used extensively in the SNESFAS hierarchy and in nonlinear preconditioning.
1585 
1586    Level: developer
1587 
1588 .keywords: SNES, nonlinear, set, function
1589 
1590 .seealso: SNESSetFunction(), SNESComputeFunction(), SNESSetInitialFunctionNorm()
1591 @*/
1592 PetscErrorCode  SNESSetInitialFunction(SNES snes, Vec f)
1593 {
1594   PetscErrorCode ierr;
1595   Vec            vec_func;
1596 
1597   PetscFunctionBegin;
1598   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1599   PetscValidHeaderSpecific(f,VEC_CLASSID,2);
1600   PetscCheckSameComm(snes,1,f,2);
1601   ierr = SNESGetFunction(snes,&vec_func,NULL,NULL);CHKERRQ(ierr);
1602   ierr = VecCopy(f, vec_func);CHKERRQ(ierr);
1603 
1604   snes->vec_func_init_set = PETSC_TRUE;
1605   PetscFunctionReturn(0);
1606 }
1607 
1608 
1609 #undef __FUNCT__
1610 #define __FUNCT__ "SNESSetInitialFunctionNorm"
1611 /*@C
1612    SNESSetInitialFunctionNorm - Sets the function norm to be used as the function norm
1613    at the initialization of the  method.  In some instances, the user has precomputed
1614    the function and its norm before calling SNESSolve.  This function allows one to
1615    avoid a redundant call to SNESComputeFunction() and VecNorm() in that case.
1616 
1617    Logically Collective on SNES
1618 
1619    Input Parameters:
1620 +  snes - the SNES context
1621 -  fnorm - the norm of F as set by SNESSetInitialFunction()
1622 
1623    This is used extensively in the SNESFAS hierarchy and in nonlinear preconditioning.
1624 
1625    Level: developer
1626 
1627 .keywords: SNES, nonlinear, set, function, norm
1628 
1629 .seealso: SNESSetFunction(), SNESComputeFunction(), SNESSetInitialFunction()
1630 @*/
1631 PetscErrorCode  SNESSetInitialFunctionNorm(SNES snes, PetscReal fnorm)
1632 {
1633   PetscFunctionBegin;
1634   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1635   snes->norm_init     = fnorm;
1636   snes->norm_init_set = PETSC_TRUE;
1637   PetscFunctionReturn(0);
1638 }
1639 
1640 #undef __FUNCT__
1641 #define __FUNCT__ "SNESSetNormType"
1642 /*@
1643    SNESSetNormType - Sets the SNESNormType used in covergence and monitoring
1644    of the SNES method.
1645 
1646    Logically Collective on SNES
1647 
1648    Input Parameters:
1649 +  snes - the SNES context
1650 -  normtype - the type of the norm used
1651 
1652    Notes:
1653    Only certain SNES methods support certain SNESNormTypes.  Most require evaluation
1654    of the nonlinear function and the taking of its norm at every iteration to
1655    even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
1656    (SNESGS) and the like do not require the norm of the function to be computed, and therfore
1657    may either be monitored for convergence or not.  As these are often used as nonlinear
1658    preconditioners, monitoring the norm of their error is not a useful enterprise within
1659    their solution.
1660 
1661    Level: developer
1662 
1663 .keywords: SNES, nonlinear, set, function, norm, type
1664 
1665 .seealso: SNESGetNormType(), SNESComputeFunction(), VecNorm(), SNESSetFunction(), SNESSetInitialFunction(), SNESNormType
1666 @*/
1667 PetscErrorCode  SNESSetNormType(SNES snes, SNESNormType normtype)
1668 {
1669   PetscFunctionBegin;
1670   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1671   snes->normtype = normtype;
1672   PetscFunctionReturn(0);
1673 }
1674 
1675 
1676 #undef __FUNCT__
1677 #define __FUNCT__ "SNESGetNormType"
1678 /*@
1679    SNESGetNormType - Gets the SNESNormType used in covergence and monitoring
1680    of the SNES method.
1681 
1682    Logically Collective on SNES
1683 
1684    Input Parameters:
1685 +  snes - the SNES context
1686 -  normtype - the type of the norm used
1687 
1688    Level: advanced
1689 
1690 .keywords: SNES, nonlinear, set, function, norm, type
1691 
1692 .seealso: SNESSetNormType(), SNESComputeFunction(), VecNorm(), SNESSetFunction(), SNESSetInitialFunction(), SNESNormType
1693 @*/
1694 PetscErrorCode  SNESGetNormType(SNES snes, SNESNormType *normtype)
1695 {
1696   PetscFunctionBegin;
1697   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1698   *normtype = snes->normtype;
1699   PetscFunctionReturn(0);
1700 }
1701 
1702 /*MC
1703     SNESGSFunction - function used to convey a Gauss-Seidel sweep on the nonlinear function
1704 
1705      Synopsis:
1706      #include "petscsnes.h"
1707 $    SNESGSFunction(SNES snes,Vec x,Vec b,void *ctx);
1708 
1709 +  X   - solution vector
1710 .  B   - RHS vector
1711 -  ctx - optional user-defined Gauss-Seidel context
1712 
1713 .seealso:   SNESSetGS(), SNESGetGS()
1714 M*/
1715 
1716 #undef __FUNCT__
1717 #define __FUNCT__ "SNESSetGS"
1718 /*@C
1719    SNESSetGS - Sets the user nonlinear Gauss-Seidel routine for
1720    use with composed nonlinear solvers.
1721 
1722    Input Parameters:
1723 +  snes   - the SNES context
1724 .  SNESGSFunction - function evaluation routine
1725 -  ctx    - [optional] user-defined context for private data for the
1726             smoother evaluation routine (may be NULL)
1727 
1728    Notes:
1729    The GS routines are used by the composed nonlinear solver to generate
1730     a problem appropriate update to the solution, particularly FAS.
1731 
1732    Level: intermediate
1733 
1734 .keywords: SNES, nonlinear, set, Gauss-Seidel
1735 
1736 .seealso: SNESGetFunction(), SNESComputeGS()
1737 @*/
1738 PetscErrorCode SNESSetGS(SNES snes,PetscErrorCode (*SNESGSFunction)(SNES,Vec,Vec,void*),void *ctx)
1739 {
1740   PetscErrorCode ierr;
1741   DM             dm;
1742 
1743   PetscFunctionBegin;
1744   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1745   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
1746   ierr = DMSNESSetGS(dm,SNESGSFunction,ctx);CHKERRQ(ierr);
1747   PetscFunctionReturn(0);
1748 }
1749 
1750 #undef __FUNCT__
1751 #define __FUNCT__ "SNESPicardComputeFunction"
1752 PetscErrorCode  SNESPicardComputeFunction(SNES snes,Vec x,Vec f,void *ctx)
1753 {
1754   PetscErrorCode ierr;
1755   DM             dm;
1756   DMSNES         sdm;
1757 
1758   PetscFunctionBegin;
1759   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
1760   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
1761   /*  A(x)*x - b(x) */
1762   if (sdm->ops->computepfunction) {
1763     ierr = (*sdm->ops->computepfunction)(snes,x,f,sdm->pctx);CHKERRQ(ierr);
1764   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetPicard() to provide Picard function.");
1765 
1766   if (sdm->ops->computepjacobian) {
1767     ierr = (*sdm->ops->computepjacobian)(snes,x,&snes->jacobian,&snes->jacobian_pre,&snes->matstruct,sdm->pctx);CHKERRQ(ierr);
1768   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetPicard() to provide Picard matrix.");
1769   ierr = VecScale(f,-1.0);CHKERRQ(ierr);
1770   ierr = MatMultAdd(snes->jacobian,x,f,f);CHKERRQ(ierr);
1771   PetscFunctionReturn(0);
1772 }
1773 
1774 #undef __FUNCT__
1775 #define __FUNCT__ "SNESPicardComputeJacobian"
1776 PetscErrorCode  SNESPicardComputeJacobian(SNES snes,Vec x1,Mat *J,Mat *B,MatStructure *flag,void *ctx)
1777 {
1778   PetscFunctionBegin;
1779   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
1780   *flag = snes->matstruct;
1781   PetscFunctionReturn(0);
1782 }
1783 
1784 #undef __FUNCT__
1785 #define __FUNCT__ "SNESSetPicard"
1786 /*@C
1787    SNESSetPicard - Use SNES to solve the semilinear-system A(x) x = b(x) via a Picard type iteration (Picard linearization)
1788 
1789    Logically Collective on SNES
1790 
1791    Input Parameters:
1792 +  snes - the SNES context
1793 .  r - vector to store function value
1794 .  SNESFunction - function evaluation routine
1795 .  Amat - matrix with which A(x) x - b(x) is to be computed
1796 .  Pmat - matrix from which preconditioner is computed (usually the same as Amat)
1797 .  SNESJacobianFunction  - function to compute matrix value
1798 -  ctx - [optional] user-defined context for private data for the
1799          function evaluation routine (may be NULL)
1800 
1801    Notes:
1802     We do not recomemend using this routine. It is far better to provide the nonlinear function F() and some approximation to the Jacobian and use
1803     an approximate Newton solver. This interface is provided to allow porting/testing a previous Picard based code in PETSc before converting it to approximate Newton.
1804 
1805     One can call SNESSetPicard() or SNESSetFunction() (and possibly SNESSetJacobian()) but cannot call both
1806 
1807 $     Solves the equation A(x) x = b(x) via the defect correction algorithm A(x^{n}) (x^{n+1} - x^{n}) = b(x^{n}) - A(x^{n})x^{n}
1808 $     Note that when an exact solver is used this corresponds to the "classic" Picard A(x^{n}) x^{n+1} = b(x^{n}) iteration.
1809 
1810      Run with -snes_mf_operator to solve the system with Newton's method using A(x^{n}) to construct the preconditioner.
1811 
1812    We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
1813    the direct Picard iteration A(x^n) x^{n+1} = b(x^n)
1814 
1815    There is some controversity over the definition of a Picard iteration for nonlinear systems but almost everyone agrees that it involves a linear solve and some
1816    believe it is the iteration  A(x^{n}) x^{n+1} = b(x^{n}) hence we use the name Picard. If anyone has an authoritative  reference that defines the Picard iteration
1817    different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument :-).
1818 
1819    Level: intermediate
1820 
1821 .keywords: SNES, nonlinear, set, function
1822 
1823 .seealso: SNESGetFunction(), SNESSetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESGetPicard(), SNESLineSearchPreCheckPicard()
1824 @*/
1825 PetscErrorCode  SNESSetPicard(SNES snes,Vec r,PetscErrorCode (*SNESFunction)(SNES,Vec,Vec,void*),Mat Amat, Mat Pmat, PetscErrorCode (*SNESJacobianFunction)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void *ctx)
1826 {
1827   PetscErrorCode ierr;
1828   DM             dm;
1829 
1830   PetscFunctionBegin;
1831   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1832   ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr);
1833   ierr = DMSNESSetPicard(dm,SNESFunction,SNESJacobianFunction,ctx);CHKERRQ(ierr);
1834   ierr = SNESSetFunction(snes,r,SNESPicardComputeFunction,ctx);CHKERRQ(ierr);
1835   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESPicardComputeJacobian,ctx);CHKERRQ(ierr);
1836   PetscFunctionReturn(0);
1837 }
1838 
1839 #undef __FUNCT__
1840 #define __FUNCT__ "SNESGetPicard"
1841 /*@C
1842    SNESGetPicard - Returns the context for the Picard iteration
1843 
1844    Not Collective, but Vec is parallel if SNES is parallel. Collective if Vec is requested, but has not been created yet.
1845 
1846    Input Parameter:
1847 .  snes - the SNES context
1848 
1849    Output Parameter:
1850 +  r - the function (or NULL)
1851 .  SNESFunction - the function (or NULL)
1852 .  Amat - the matrix used to defined the operation A(x) x - b(x) (or NULL)
1853 .  Pmat  - the matrix from which the preconditioner will be constructed (or NULL)
1854 .  SNESJacobianFunction - the function for matrix evaluation (or NULL)
1855 -  ctx - the function context (or NULL)
1856 
1857    Level: advanced
1858 
1859 .keywords: SNES, nonlinear, get, function
1860 
1861 .seealso: SNESSetPicard(), SNESGetFunction(), SNESGetJacobian(), SNESGetDM(), SNESFunction, SNESJacobianFunction
1862 @*/
1863 PetscErrorCode  SNESGetPicard(SNES snes,Vec *r,PetscErrorCode (**SNESFunction)(SNES,Vec,Vec,void*),Mat *Amat, Mat *Pmat, PetscErrorCode (**SNESJacobianFunction)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void **ctx)
1864 {
1865   PetscErrorCode ierr;
1866   DM             dm;
1867 
1868   PetscFunctionBegin;
1869   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1870   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1871   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
1872   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
1873   ierr = DMSNESGetPicard(dm,SNESFunction,SNESJacobianFunction,ctx);CHKERRQ(ierr);
1874   PetscFunctionReturn(0);
1875 }
1876 
1877 #undef __FUNCT__
1878 #define __FUNCT__ "SNESSetComputeInitialGuess"
1879 /*@C
1880    SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the problem
1881 
1882    Logically Collective on SNES
1883 
1884    Input Parameters:
1885 +  snes - the SNES context
1886 .  func - function evaluation routine
1887 -  ctx - [optional] user-defined context for private data for the
1888          function evaluation routine (may be NULL)
1889 
1890    Calling sequence of func:
1891 $    func (SNES snes,Vec x,void *ctx);
1892 
1893 .  f - function vector
1894 -  ctx - optional user-defined function context
1895 
1896    Level: intermediate
1897 
1898 .keywords: SNES, nonlinear, set, function
1899 
1900 .seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian()
1901 @*/
1902 PetscErrorCode  SNESSetComputeInitialGuess(SNES snes,PetscErrorCode (*func)(SNES,Vec,void*),void *ctx)
1903 {
1904   PetscFunctionBegin;
1905   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1906   if (func) snes->ops->computeinitialguess = func;
1907   if (ctx)  snes->initialguessP            = ctx;
1908   PetscFunctionReturn(0);
1909 }
1910 
1911 /* --------------------------------------------------------------- */
1912 #undef __FUNCT__
1913 #define __FUNCT__ "SNESGetRhs"
1914 /*@C
1915    SNESGetRhs - Gets the vector for solving F(x) = rhs. If rhs is not set
1916    it assumes a zero right hand side.
1917 
1918    Logically Collective on SNES
1919 
1920    Input Parameter:
1921 .  snes - the SNES context
1922 
1923    Output Parameter:
1924 .  rhs - the right hand side vector or NULL if the right hand side vector is null
1925 
1926    Level: intermediate
1927 
1928 .keywords: SNES, nonlinear, get, function, right hand side
1929 
1930 .seealso: SNESGetSolution(), SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESSetFunction()
1931 @*/
1932 PetscErrorCode  SNESGetRhs(SNES snes,Vec *rhs)
1933 {
1934   PetscFunctionBegin;
1935   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1936   PetscValidPointer(rhs,2);
1937   *rhs = snes->vec_rhs;
1938   PetscFunctionReturn(0);
1939 }
1940 
1941 #undef __FUNCT__
1942 #define __FUNCT__ "SNESComputeFunction"
1943 /*@
1944    SNESComputeFunction - Calls the function that has been set with SNESSetFunction().
1945 
1946    Collective on SNES
1947 
1948    Input Parameters:
1949 +  snes - the SNES context
1950 -  x - input vector
1951 
1952    Output Parameter:
1953 .  y - function vector, as set by SNESSetFunction()
1954 
1955    Notes:
1956    SNESComputeFunction() is typically used within nonlinear solvers
1957    implementations, so most users would not generally call this routine
1958    themselves.
1959 
1960    Level: developer
1961 
1962 .keywords: SNES, nonlinear, compute, function
1963 
1964 .seealso: SNESSetFunction(), SNESGetFunction()
1965 @*/
1966 PetscErrorCode  SNESComputeFunction(SNES snes,Vec x,Vec y)
1967 {
1968   PetscErrorCode ierr;
1969   DM             dm;
1970   DMSNES         sdm;
1971 
1972   PetscFunctionBegin;
1973   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
1974   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
1975   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
1976   PetscCheckSameComm(snes,1,x,2);
1977   PetscCheckSameComm(snes,1,y,3);
1978   ierr = VecValidValues(x,2,PETSC_TRUE);CHKERRQ(ierr);
1979 
1980   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
1981   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
1982   if (snes->pc && snes->pcside == PC_LEFT) {
1983     ierr = VecCopy(x,y);CHKERRQ(ierr);
1984     ierr = PetscLogEventBegin(SNES_NPCSolve,snes->pc,x,y,0);CHKERRQ(ierr);
1985     ierr = SNESSolve(snes->pc,snes->vec_rhs,y);CHKERRQ(ierr);
1986     ierr = PetscLogEventEnd(SNES_NPCSolve,snes->pc,x,y,0);CHKERRQ(ierr);
1987     ierr = VecAYPX(y,-1.0,x);CHKERRQ(ierr);
1988   } else if (sdm->ops->computefunction) {
1989     ierr = PetscLogEventBegin(SNES_FunctionEval,snes,x,y,0);CHKERRQ(ierr);
1990     PetscStackPush("SNES user function");
1991     ierr = (*sdm->ops->computefunction)(snes,x,y,sdm->functionctx);CHKERRQ(ierr);
1992     PetscStackPop;
1993     ierr = PetscLogEventEnd(SNES_FunctionEval,snes,x,y,0);CHKERRQ(ierr);
1994   } else if (snes->vec_rhs) {
1995     ierr = MatMult(snes->jacobian, x, y);CHKERRQ(ierr);
1996   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetFunction() or SNESSetDM() before SNESComputeFunction(), likely called from SNESSolve().");
1997   if (snes->vec_rhs) {
1998     ierr = VecAXPY(y,-1.0,snes->vec_rhs);CHKERRQ(ierr);
1999   }
2000   snes->nfuncs++;
2001   ierr = VecValidValues(y,3,PETSC_FALSE);CHKERRQ(ierr);
2002   PetscFunctionReturn(0);
2003 }
2004 
2005 #undef __FUNCT__
2006 #define __FUNCT__ "SNESComputeGS"
2007 /*@
2008    SNESComputeGS - Calls the Gauss-Seidel function that has been set with  SNESSetGS().
2009 
2010    Collective on SNES
2011 
2012    Input Parameters:
2013 +  snes - the SNES context
2014 .  x - input vector
2015 -  b - rhs vector
2016 
2017    Output Parameter:
2018 .  x - new solution vector
2019 
2020    Notes:
2021    SNESComputeGS() is typically used within composed nonlinear solver
2022    implementations, so most users would not generally call this routine
2023    themselves.
2024 
2025    Level: developer
2026 
2027 .keywords: SNES, nonlinear, compute, function
2028 
2029 .seealso: SNESSetGS(), SNESComputeFunction()
2030 @*/
2031 PetscErrorCode  SNESComputeGS(SNES snes,Vec b,Vec x)
2032 {
2033   PetscErrorCode ierr;
2034   DM             dm;
2035   DMSNES         sdm;
2036 
2037   PetscFunctionBegin;
2038   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2039   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
2040   if (b) PetscValidHeaderSpecific(b,VEC_CLASSID,3);
2041   PetscCheckSameComm(snes,1,x,2);
2042   if (b) PetscCheckSameComm(snes,1,b,3);
2043   if (b) {ierr = VecValidValues(b,2,PETSC_TRUE);CHKERRQ(ierr);}
2044   ierr = PetscLogEventBegin(SNES_GSEval,snes,x,b,0);CHKERRQ(ierr);
2045   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2046   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
2047   if (sdm->ops->computegs) {
2048     PetscStackPush("SNES user GS");
2049     ierr = (*sdm->ops->computegs)(snes,x,b,sdm->gsctx);CHKERRQ(ierr);
2050     PetscStackPop;
2051   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetGS() before SNESComputeGS(), likely called from SNESSolve().");
2052   ierr = PetscLogEventEnd(SNES_GSEval,snes,x,b,0);CHKERRQ(ierr);
2053   ierr = VecValidValues(x,3,PETSC_FALSE);CHKERRQ(ierr);
2054   PetscFunctionReturn(0);
2055 }
2056 
2057 #undef __FUNCT__
2058 #define __FUNCT__ "SNESComputeJacobian"
2059 /*@
2060    SNESComputeJacobian - Computes the Jacobian matrix that has been set with SNESSetJacobian().
2061 
2062    Collective on SNES and Mat
2063 
2064    Input Parameters:
2065 +  snes - the SNES context
2066 -  x - input vector
2067 
2068    Output Parameters:
2069 +  A - Jacobian matrix
2070 .  B - optional preconditioning matrix
2071 -  flag - flag indicating matrix structure (one of, SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER)
2072 
2073   Options Database Keys:
2074 +    -snes_lag_preconditioner <lag>
2075 .    -snes_lag_jacobian <lag>
2076 .    -snes_compare_explicit - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2077 .    -snes_compare_explicit_draw  - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2078 .    -snes_compare_explicit_contour  - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2079 .    -snes_compare_operator  - Make the comparison options above use the operator instead of the preconditioning matrix
2080 .    -snes_compare_coloring - Compute the finite differece Jacobian using coloring and display norms of difference
2081 .    -snes_compare_coloring_display - Compute the finite differece Jacobian using coloring and display verbose differences
2082 .    -snes_compare_coloring_threshold - Display only those matrix entries that differ by more than a given threshold
2083 .    -snes_compare_coloring_threshold_atol - Absolute tolerance for difference in matrix entries to be displayed by -snes_compare_coloring_threshold
2084 .    -snes_compare_coloring_threshold_rtol - Relative tolerance for difference in matrix entries to be displayed by -snes_compare_coloring_threshold
2085 .    -snes_compare_coloring_draw - Compute the finite differece Jacobian using coloring and draw differences
2086 -    -snes_compare_coloring_draw_contour - Compute the finite differece Jacobian using coloring and show contours of matrices and differences
2087 
2088 
2089    Notes:
2090    Most users should not need to explicitly call this routine, as it
2091    is used internally within the nonlinear solvers.
2092 
2093    See KSPSetOperators() for important information about setting the
2094    flag parameter.
2095 
2096    Level: developer
2097 
2098 .keywords: SNES, compute, Jacobian, matrix
2099 
2100 .seealso:  SNESSetJacobian(), KSPSetOperators(), MatStructure, SNESSetLagPreconditioner(), SNESSetLagJacobian()
2101 @*/
2102 PetscErrorCode  SNESComputeJacobian(SNES snes,Vec X,Mat *A,Mat *B,MatStructure *flg)
2103 {
2104   PetscErrorCode ierr;
2105   PetscBool      flag;
2106   DM             dm;
2107   DMSNES         sdm;
2108 
2109   PetscFunctionBegin;
2110   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2111   PetscValidHeaderSpecific(X,VEC_CLASSID,2);
2112   PetscValidPointer(flg,5);
2113   PetscCheckSameComm(snes,1,X,2);
2114   ierr = VecValidValues(X,2,PETSC_TRUE);CHKERRQ(ierr);
2115   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2116   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
2117 
2118   if (!sdm->ops->computejacobian) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_USER,"Must call SNESSetJacobian(), DMSNESSetJacobian(), DMDASNESSetJacobianLocal(), etc");
2119 
2120   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix free */
2121 
2122   if (snes->lagjacobian == -2) {
2123     snes->lagjacobian = -1;
2124 
2125     ierr = PetscInfo(snes,"Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n");CHKERRQ(ierr);
2126   } else if (snes->lagjacobian == -1) {
2127     *flg = SAME_PRECONDITIONER;
2128     ierr = PetscInfo(snes,"Reusing Jacobian/preconditioner because lag is -1\n");CHKERRQ(ierr);
2129     ierr = PetscObjectTypeCompare((PetscObject)*A,MATMFFD,&flag);CHKERRQ(ierr);
2130     if (flag) {
2131       ierr = MatAssemblyBegin(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2132       ierr = MatAssemblyEnd(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2133     }
2134     PetscFunctionReturn(0);
2135   } else if (snes->lagjacobian > 1 && snes->iter % snes->lagjacobian) {
2136     *flg = SAME_PRECONDITIONER;
2137     ierr = PetscInfo2(snes,"Reusing Jacobian/preconditioner because lag is %D and SNES iteration is %D\n",snes->lagjacobian,snes->iter);CHKERRQ(ierr);
2138     ierr = PetscObjectTypeCompare((PetscObject)*A,MATMFFD,&flag);CHKERRQ(ierr);
2139     if (flag) {
2140       ierr = MatAssemblyBegin(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2141       ierr = MatAssemblyEnd(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2142     }
2143     PetscFunctionReturn(0);
2144   }
2145   if (snes->pc && snes->pcside == PC_LEFT) {
2146       ierr = MatAssemblyBegin(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2147       ierr = MatAssemblyEnd(*A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2148       PetscFunctionReturn(0);
2149   }
2150 
2151   *flg = DIFFERENT_NONZERO_PATTERN;
2152   ierr = PetscLogEventBegin(SNES_JacobianEval,snes,X,*A,*B);CHKERRQ(ierr);
2153 
2154   PetscStackPush("SNES user Jacobian function");
2155   ierr = (*sdm->ops->computejacobian)(snes,X,A,B,flg,sdm->jacobianctx);CHKERRQ(ierr);
2156   PetscStackPop;
2157 
2158   ierr = PetscLogEventEnd(SNES_JacobianEval,snes,X,*A,*B);CHKERRQ(ierr);
2159 
2160   if (snes->lagpreconditioner == -2) {
2161     ierr = PetscInfo(snes,"Rebuilding preconditioner exactly once since lag is -2\n");CHKERRQ(ierr);
2162 
2163     snes->lagpreconditioner = -1;
2164   } else if (snes->lagpreconditioner == -1) {
2165     *flg = SAME_PRECONDITIONER;
2166     ierr = PetscInfo(snes,"Reusing preconditioner because lag is -1\n");CHKERRQ(ierr);
2167   } else if (snes->lagpreconditioner > 1 && snes->iter % snes->lagpreconditioner) {
2168     *flg = SAME_PRECONDITIONER;
2169     ierr = PetscInfo2(snes,"Reusing preconditioner because lag is %D and SNES iteration is %D\n",snes->lagpreconditioner,snes->iter);CHKERRQ(ierr);
2170   }
2171 
2172   /* make sure user returned a correct Jacobian and preconditioner */
2173   /* PetscValidHeaderSpecific(*A,MAT_CLASSID,3);
2174     PetscValidHeaderSpecific(*B,MAT_CLASSID,4);   */
2175   {
2176     PetscBool flag = PETSC_FALSE,flag_draw = PETSC_FALSE,flag_contour = PETSC_FALSE,flag_operator = PETSC_FALSE;
2177     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_explicit",&flag,NULL);CHKERRQ(ierr);
2178     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_explicit_draw",&flag_draw,NULL);CHKERRQ(ierr);
2179     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_explicit_draw_contour",&flag_contour,NULL);CHKERRQ(ierr);
2180     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_operator",&flag_operator,NULL);CHKERRQ(ierr);
2181     if (flag || flag_draw || flag_contour) {
2182       Mat          Bexp_mine = NULL,Bexp,FDexp;
2183       MatStructure mstruct;
2184       PetscViewer  vdraw,vstdout;
2185       PetscBool    flg;
2186       if (flag_operator) {
2187         ierr = MatComputeExplicitOperator(*A,&Bexp_mine);CHKERRQ(ierr);
2188         Bexp = Bexp_mine;
2189       } else {
2190         /* See if the preconditioning matrix can be viewed and added directly */
2191         ierr = PetscObjectTypeCompareAny((PetscObject)*B,&flg,MATSEQAIJ,MATMPIAIJ,MATSEQDENSE,MATMPIDENSE,MATSEQBAIJ,MATMPIBAIJ,MATSEQSBAIJ,MATMPIBAIJ,"");CHKERRQ(ierr);
2192         if (flg) Bexp = *B;
2193         else {
2194           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
2195           ierr = MatComputeExplicitOperator(*B,&Bexp_mine);CHKERRQ(ierr);
2196           Bexp = Bexp_mine;
2197         }
2198       }
2199       ierr = MatConvert(Bexp,MATSAME,MAT_INITIAL_MATRIX,&FDexp);CHKERRQ(ierr);
2200       ierr = SNESComputeJacobianDefault(snes,X,&FDexp,&FDexp,&mstruct,NULL);CHKERRQ(ierr);
2201       ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes),&vstdout);CHKERRQ(ierr);
2202       if (flag_draw || flag_contour) {
2203         ierr = PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes),0,"Explicit Jacobians",PETSC_DECIDE,PETSC_DECIDE,300,300,&vdraw);CHKERRQ(ierr);
2204         if (flag_contour) {ierr = PetscViewerPushFormat(vdraw,PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);}
2205       } else vdraw = NULL;
2206       ierr = PetscViewerASCIIPrintf(vstdout,"Explicit %s\n",flag_operator ? "Jacobian" : "preconditioning Jacobian");CHKERRQ(ierr);
2207       if (flag) {ierr = MatView(Bexp,vstdout);CHKERRQ(ierr);}
2208       if (vdraw) {ierr = MatView(Bexp,vdraw);CHKERRQ(ierr);}
2209       ierr = PetscViewerASCIIPrintf(vstdout,"Finite difference Jacobian\n");CHKERRQ(ierr);
2210       if (flag) {ierr = MatView(FDexp,vstdout);CHKERRQ(ierr);}
2211       if (vdraw) {ierr = MatView(FDexp,vdraw);CHKERRQ(ierr);}
2212       ierr = MatAYPX(FDexp,-1.0,Bexp,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2213       ierr = PetscViewerASCIIPrintf(vstdout,"User-provided matrix minus finite difference Jacobian\n");CHKERRQ(ierr);
2214       if (flag) {ierr = MatView(FDexp,vstdout);CHKERRQ(ierr);}
2215       if (vdraw) {              /* Always use contour for the difference */
2216         ierr = PetscViewerPushFormat(vdraw,PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
2217         ierr = MatView(FDexp,vdraw);CHKERRQ(ierr);
2218         ierr = PetscViewerPopFormat(vdraw);CHKERRQ(ierr);
2219       }
2220       if (flag_contour) {ierr = PetscViewerPopFormat(vdraw);CHKERRQ(ierr);}
2221       ierr = PetscViewerDestroy(&vdraw);CHKERRQ(ierr);
2222       ierr = MatDestroy(&Bexp_mine);CHKERRQ(ierr);
2223       ierr = MatDestroy(&FDexp);CHKERRQ(ierr);
2224     }
2225   }
2226   {
2227     PetscBool flag = PETSC_FALSE,flag_display = PETSC_FALSE,flag_draw = PETSC_FALSE,flag_contour = PETSC_FALSE,flag_threshold = PETSC_FALSE;
2228     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON,threshold_rtol = 10*PETSC_SQRT_MACHINE_EPSILON;
2229     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_coloring",&flag,NULL);CHKERRQ(ierr);
2230     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_coloring_display",&flag_display,NULL);CHKERRQ(ierr);
2231     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_coloring_draw",&flag_draw,NULL);CHKERRQ(ierr);
2232     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_coloring_draw_contour",&flag_contour,NULL);CHKERRQ(ierr);
2233     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_compare_coloring_threshold",&flag_threshold,NULL);CHKERRQ(ierr);
2234     ierr = PetscOptionsGetReal(((PetscObject)snes)->prefix,"-snes_compare_coloring_threshold_rtol",&threshold_rtol,NULL);CHKERRQ(ierr);
2235     ierr = PetscOptionsGetReal(((PetscObject)snes)->prefix,"-snes_compare_coloring_threshold_atol",&threshold_atol,NULL);CHKERRQ(ierr);
2236     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
2237       Mat            Bfd;
2238       MatStructure   mstruct;
2239       PetscViewer    vdraw,vstdout;
2240       ISColoring     iscoloring;
2241       MatFDColoring  matfdcoloring;
2242       PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2243       void           *funcctx;
2244       PetscReal      norm1,norm2,normmax;
2245 
2246       ierr = MatDuplicate(*B,MAT_DO_NOT_COPY_VALUES,&Bfd);CHKERRQ(ierr);
2247       ierr = MatGetColoring(Bfd,MATCOLORINGSL,&iscoloring);CHKERRQ(ierr);
2248       ierr = MatFDColoringCreate(Bfd,iscoloring,&matfdcoloring);CHKERRQ(ierr);
2249       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
2250 
2251       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
2252       ierr = SNESGetFunction(snes,NULL,&func,&funcctx);CHKERRQ(ierr);
2253       ierr = MatFDColoringSetFunction(matfdcoloring,(PetscErrorCode (*)(void))func,funcctx);CHKERRQ(ierr);
2254       ierr = PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring,((PetscObject)snes)->prefix);CHKERRQ(ierr);
2255       ierr = PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring,"coloring_");CHKERRQ(ierr);
2256       ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
2257       ierr = MatFDColoringApply(Bfd,matfdcoloring,X,&mstruct,snes);CHKERRQ(ierr);
2258       ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);
2259 
2260       ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes),&vstdout);CHKERRQ(ierr);
2261       if (flag_draw || flag_contour) {
2262         ierr = PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes),0,"Colored Jacobians",PETSC_DECIDE,PETSC_DECIDE,300,300,&vdraw);CHKERRQ(ierr);
2263         if (flag_contour) {ierr = PetscViewerPushFormat(vdraw,PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);}
2264       } else vdraw = NULL;
2265       ierr = PetscViewerASCIIPrintf(vstdout,"Explicit preconditioning Jacobian\n");CHKERRQ(ierr);
2266       if (flag_display) {ierr = MatView(*B,vstdout);CHKERRQ(ierr);}
2267       if (vdraw) {ierr = MatView(*B,vdraw);CHKERRQ(ierr);}
2268       ierr = PetscViewerASCIIPrintf(vstdout,"Colored Finite difference Jacobian\n");CHKERRQ(ierr);
2269       if (flag_display) {ierr = MatView(Bfd,vstdout);CHKERRQ(ierr);}
2270       if (vdraw) {ierr = MatView(Bfd,vdraw);CHKERRQ(ierr);}
2271       ierr = MatAYPX(Bfd,-1.0,*B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2272       ierr = MatNorm(Bfd,NORM_1,&norm1);CHKERRQ(ierr);
2273       ierr = MatNorm(Bfd,NORM_FROBENIUS,&norm2);CHKERRQ(ierr);
2274       ierr = MatNorm(Bfd,NORM_MAX,&normmax);CHKERRQ(ierr);
2275       ierr = PetscViewerASCIIPrintf(vstdout,"User-provided matrix minus finite difference Jacobian, norm1=%G normFrob=%G normmax=%G\n",norm1,norm2,normmax);CHKERRQ(ierr);
2276       if (flag_display) {ierr = MatView(Bfd,vstdout);CHKERRQ(ierr);}
2277       if (vdraw) {              /* Always use contour for the difference */
2278         ierr = PetscViewerPushFormat(vdraw,PETSC_VIEWER_DRAW_CONTOUR);CHKERRQ(ierr);
2279         ierr = MatView(Bfd,vdraw);CHKERRQ(ierr);
2280         ierr = PetscViewerPopFormat(vdraw);CHKERRQ(ierr);
2281       }
2282       if (flag_contour) {ierr = PetscViewerPopFormat(vdraw);CHKERRQ(ierr);}
2283 
2284       if (flag_threshold) {
2285         PetscInt bs,rstart,rend,i;
2286         ierr = MatGetBlockSize(*B,&bs);CHKERRQ(ierr);
2287         ierr = MatGetOwnershipRange(*B,&rstart,&rend);CHKERRQ(ierr);
2288         for (i=rstart; i<rend; i++) {
2289           const PetscScalar *ba,*ca;
2290           const PetscInt    *bj,*cj;
2291           PetscInt          bn,cn,j,maxentrycol = -1,maxdiffcol = -1,maxrdiffcol = -1;
2292           PetscReal         maxentry = 0,maxdiff = 0,maxrdiff = 0;
2293           ierr = MatGetRow(*B,i,&bn,&bj,&ba);CHKERRQ(ierr);
2294           ierr = MatGetRow(Bfd,i,&cn,&cj,&ca);CHKERRQ(ierr);
2295           if (bn != cn) SETERRQ(((PetscObject)*A)->comm,PETSC_ERR_PLIB,"Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
2296           for (j=0; j<bn; j++) {
2297             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol*PetscAbsScalar(ba[j]));
2298             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
2299               maxentrycol = bj[j];
2300               maxentry    = PetscRealPart(ba[j]);
2301             }
2302             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
2303               maxdiffcol = bj[j];
2304               maxdiff    = PetscRealPart(ca[j]);
2305             }
2306             if (rdiff > maxrdiff) {
2307               maxrdiffcol = bj[j];
2308               maxrdiff    = rdiff;
2309             }
2310           }
2311           if (maxrdiff > 1) {
2312             ierr = PetscViewerASCIIPrintf(vstdout,"row %D (maxentry=%G at %D, maxdiff=%G at %D, maxrdiff=%G at %D):",i,maxentry,maxentrycol,maxdiff,maxdiffcol,maxrdiff,maxrdiffcol);CHKERRQ(ierr);
2313             for (j=0; j<bn; j++) {
2314               PetscReal rdiff;
2315               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol*PetscAbsScalar(ba[j]));
2316               if (rdiff > 1) {
2317                 ierr = PetscViewerASCIIPrintf(vstdout," (%D,%G:%G)",bj[j],PetscRealPart(ba[j]),PetscRealPart(ca[j]));CHKERRQ(ierr);
2318               }
2319             }
2320             ierr = PetscViewerASCIIPrintf(vstdout,"\n",i,maxentry,maxdiff,maxrdiff);CHKERRQ(ierr);
2321           }
2322           ierr = MatRestoreRow(*B,i,&bn,&bj,&ba);CHKERRQ(ierr);
2323           ierr = MatRestoreRow(Bfd,i,&cn,&cj,&ca);CHKERRQ(ierr);
2324         }
2325       }
2326       ierr = PetscViewerDestroy(&vdraw);CHKERRQ(ierr);
2327       ierr = MatDestroy(&Bfd);CHKERRQ(ierr);
2328     }
2329   }
2330   PetscFunctionReturn(0);
2331 }
2332 
2333 /*MC
2334     SNESJacobianFunction - function used to convey the nonlinear Jacobian of the function to be solved by SNES
2335 
2336      Synopsis:
2337      #include "petscsnes.h"
2338 $     SNESJacobianFunction(SNES snes,Vec x,Mat *Amat,Mat *Pmat,int *flag,void *ctx);
2339 
2340 +  x - input vector
2341 .  Amat - the matrix that defines the (approximate) Jacobian
2342 .  Pmat - the matrix to be used in constructing the preconditioner, usually the same as Amat.
2343 .  flag - flag indicating information about the preconditioner matrix
2344    structure (same as flag in KSPSetOperators()), one of SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER
2345 -  ctx - [optional] user-defined Jacobian context
2346 
2347 .seealso:   SNESSetFunction(), SNESGetFunction(), SNESSetJacobian(), SNESGetJacobian()
2348 M*/
2349 
2350 #undef __FUNCT__
2351 #define __FUNCT__ "SNESSetJacobian"
2352 /*@C
2353    SNESSetJacobian - Sets the function to compute Jacobian as well as the
2354    location to store the matrix.
2355 
2356    Logically Collective on SNES and Mat
2357 
2358    Input Parameters:
2359 +  snes - the SNES context
2360 .  Amat - the matrix that defines the (approximate) Jacobian
2361 .  Pmat - the matrix to be used in constructing the preconditioner, usually the same as Amat.
2362 .  SNESJacobianFunction - Jacobian evaluation routine (if NULL then SNES retains any previously set value)
2363 -  ctx - [optional] user-defined context for private data for the
2364          Jacobian evaluation routine (may be NULL) (if NULL then SNES retains any previously set value)
2365 
2366    Notes:
2367    See KSPSetOperators() for important information about setting the flag
2368    output parameter in the routine func().  Be sure to read this information!
2369 
2370    The routine func() takes Mat * as the matrix arguments rather than Mat.
2371    This allows the Jacobian evaluation routine to replace A and/or B with a
2372    completely new new matrix structure (not just different matrix elements)
2373    when appropriate, for instance, if the nonzero structure is changing
2374    throughout the global iterations.
2375 
2376    If the Amat matrix and Pmat matrix are different you must call MatAssemblyBegin/End() on
2377    each matrix.
2378 
2379    If using SNESComputeJacobianDefaultColor() to assemble a Jacobian, the ctx argument
2380    must be a MatFDColoring.
2381 
2382    Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
2383    example is to use the "Picard linearization" which only differentiates through the highest order parts of each term.
2384 
2385    Level: beginner
2386 
2387 .keywords: SNES, nonlinear, set, Jacobian, matrix
2388 
2389 .seealso: KSPSetOperators(), SNESSetFunction(), MatMFFDComputeJacobian(), SNESComputeJacobianDefaultColor(), MatStructure, SNESJacobianFunction, SNESSetPicard()
2390 @*/
2391 PetscErrorCode  SNESSetJacobian(SNES snes,Mat Amat,Mat Pmat,PetscErrorCode (*SNESJacobianFunction)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void *ctx)
2392 {
2393   PetscErrorCode ierr;
2394   DM             dm;
2395 
2396   PetscFunctionBegin;
2397   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2398   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2399   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
2400   if (Amat) PetscCheckSameComm(snes,1,Amat,2);
2401   if (Pmat) PetscCheckSameComm(snes,1,Pmat,3);
2402   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2403   ierr = DMSNESSetJacobian(dm,SNESJacobianFunction,ctx);CHKERRQ(ierr);
2404   if (Amat) {
2405     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2406     ierr = MatDestroy(&snes->jacobian);CHKERRQ(ierr);
2407 
2408     snes->jacobian = Amat;
2409   }
2410   if (Pmat) {
2411     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
2412     ierr = MatDestroy(&snes->jacobian_pre);CHKERRQ(ierr);
2413 
2414     snes->jacobian_pre = Pmat;
2415   }
2416   PetscFunctionReturn(0);
2417 }
2418 
2419 #undef __FUNCT__
2420 #define __FUNCT__ "SNESGetJacobian"
2421 /*@C
2422    SNESGetJacobian - Returns the Jacobian matrix and optionally the user
2423    provided context for evaluating the Jacobian.
2424 
2425    Not Collective, but Mat object will be parallel if SNES object is
2426 
2427    Input Parameter:
2428 .  snes - the nonlinear solver context
2429 
2430    Output Parameters:
2431 +  Amat - location to stash (approximate) Jacobian matrix (or NULL)
2432 .  Pmat - location to stash matrix used to compute the preconditioner (or NULL)
2433 .  SNESJacobianFunction - location to put Jacobian function (or NULL)
2434 -  ctx - location to stash Jacobian ctx (or NULL)
2435 
2436    Level: advanced
2437 
2438 .seealso: SNESSetJacobian(), SNESComputeJacobian()
2439 @*/
2440 PetscErrorCode SNESGetJacobian(SNES snes,Mat *Amat,Mat *Pmat,PetscErrorCode (**SNESJacobianFunction)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void **ctx)
2441 {
2442   PetscErrorCode ierr;
2443   DM             dm;
2444   DMSNES         sdm;
2445 
2446   PetscFunctionBegin;
2447   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2448   if (Amat) *Amat = snes->jacobian;
2449   if (Pmat) *Pmat = snes->jacobian_pre;
2450   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2451   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
2452   if (SNESJacobianFunction) *SNESJacobianFunction = sdm->ops->computejacobian;
2453   if (ctx) *ctx = sdm->jacobianctx;
2454   PetscFunctionReturn(0);
2455 }
2456 
2457 #undef __FUNCT__
2458 #define __FUNCT__ "SNESSetUp"
2459 /*@
2460    SNESSetUp - Sets up the internal data structures for the later use
2461    of a nonlinear solver.
2462 
2463    Collective on SNES
2464 
2465    Input Parameters:
2466 .  snes - the SNES context
2467 
2468    Notes:
2469    For basic use of the SNES solvers the user need not explicitly call
2470    SNESSetUp(), since these actions will automatically occur during
2471    the call to SNESSolve().  However, if one wishes to control this
2472    phase separately, SNESSetUp() should be called after SNESCreate()
2473    and optional routines of the form SNESSetXXX(), but before SNESSolve().
2474 
2475    Level: advanced
2476 
2477 .keywords: SNES, nonlinear, setup
2478 
2479 .seealso: SNESCreate(), SNESSolve(), SNESDestroy()
2480 @*/
2481 PetscErrorCode  SNESSetUp(SNES snes)
2482 {
2483   PetscErrorCode ierr;
2484   DM             dm;
2485   DMSNES         sdm;
2486   SNESLineSearch linesearch, pclinesearch;
2487   void           *lsprectx,*lspostctx;
2488   PetscErrorCode (*precheck)(SNESLineSearch,Vec,Vec,PetscBool*,void*);
2489   PetscErrorCode (*postcheck)(SNESLineSearch,Vec,Vec,Vec,PetscBool*,PetscBool*,void*);
2490   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2491   Vec            f,fpc;
2492   void           *funcctx;
2493   PetscErrorCode (*jac)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
2494   void           *jacctx,*appctx;
2495   Mat            A,B;
2496 
2497   PetscFunctionBegin;
2498   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2499   if (snes->setupcalled) PetscFunctionReturn(0);
2500 
2501   if (!((PetscObject)snes)->type_name) {
2502     ierr = SNESSetType(snes,SNESNEWTONLS);CHKERRQ(ierr);
2503   }
2504 
2505   ierr = SNESGetFunction(snes,&snes->vec_func,NULL,NULL);CHKERRQ(ierr);
2506   if (snes->vec_func == snes->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_IDN,"Solution vector cannot be function vector");
2507   if (snes->vec_rhs  == snes->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_IDN,"Solution vector cannot be right hand side vector");
2508 
2509   if (!snes->vec_sol_update /* && snes->vec_sol */) {
2510     ierr = VecDuplicate(snes->vec_sol,&snes->vec_sol_update);CHKERRQ(ierr);
2511     ierr = PetscLogObjectParent(snes,snes->vec_sol_update);CHKERRQ(ierr);
2512   }
2513 
2514   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2515   ierr = DMShellSetGlobalVector(snes->dm,snes->vec_sol);CHKERRQ(ierr);
2516   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
2517   if (!sdm->ops->computefunction) SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_ARG_WRONGSTATE,"Function never provided to SNES object");
2518   if (!sdm->ops->computejacobian) {
2519     ierr = DMSNESSetJacobian(dm,SNESComputeJacobianDefaultColor,NULL);CHKERRQ(ierr);
2520   }
2521   if (!snes->vec_func) {
2522     ierr = DMCreateGlobalVector(dm,&snes->vec_func);CHKERRQ(ierr);
2523   }
2524 
2525   if (!snes->ksp) {
2526     ierr = SNESGetKSP(snes, &snes->ksp);CHKERRQ(ierr);
2527   }
2528 
2529   if (!snes->linesearch) {
2530     ierr = SNESGetSNESLineSearch(snes, &snes->linesearch);CHKERRQ(ierr);
2531   }
2532 
2533   if (snes->pc && (snes->pcside == PC_LEFT)) {
2534     snes->mf          = PETSC_TRUE;
2535     snes->mf_operator = PETSC_FALSE;
2536   }
2537 
2538   if (snes->mf) {
2539     ierr = SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version);CHKERRQ(ierr);
2540   }
2541 
2542   if (snes->ops->usercompute && !snes->user) {
2543     ierr = (*snes->ops->usercompute)(snes,(void**)&snes->user);CHKERRQ(ierr);
2544   }
2545 
2546   if (snes->pc) {
2547     /* copy the DM over */
2548     ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
2549     ierr = SNESSetDM(snes->pc,dm);CHKERRQ(ierr);
2550 
2551     ierr = SNESGetFunction(snes,&f,&func,&funcctx);CHKERRQ(ierr);
2552     ierr = VecDuplicate(f,&fpc);CHKERRQ(ierr);
2553     ierr = SNESSetFunction(snes->pc,fpc,func,funcctx);CHKERRQ(ierr);
2554     ierr = SNESGetJacobian(snes,&A,&B,&jac,&jacctx);CHKERRQ(ierr);
2555     ierr = SNESSetJacobian(snes->pc,A,B,jac,jacctx);CHKERRQ(ierr);
2556     ierr = SNESGetApplicationContext(snes,&appctx);CHKERRQ(ierr);
2557     ierr = SNESSetApplicationContext(snes->pc,appctx);CHKERRQ(ierr);
2558     ierr = VecDestroy(&fpc);CHKERRQ(ierr);
2559 
2560     /* copy the function pointers over */
2561     ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)snes,(PetscObject)snes->pc);CHKERRQ(ierr);
2562 
2563     /* default to 1 iteration */
2564     ierr = SNESSetTolerances(snes->pc,0.0,0.0,0.0,1,snes->pc->max_funcs);CHKERRQ(ierr);
2565     if (snes->pcside==PC_RIGHT) {
2566       ierr = SNESSetNormType(snes->pc,SNES_NORM_FINAL_ONLY);CHKERRQ(ierr);
2567     } else {
2568       ierr = SNESSetNormType(snes->pc,SNES_NORM_NONE);CHKERRQ(ierr);
2569     }
2570     ierr = SNESSetFromOptions(snes->pc);CHKERRQ(ierr);
2571 
2572     /* copy the line search context over */
2573     ierr = SNESGetSNESLineSearch(snes,&linesearch);CHKERRQ(ierr);
2574     ierr = SNESGetSNESLineSearch(snes->pc,&pclinesearch);CHKERRQ(ierr);
2575     ierr = SNESLineSearchGetPreCheck(linesearch,&precheck,&lsprectx);CHKERRQ(ierr);
2576     ierr = SNESLineSearchGetPostCheck(linesearch,&postcheck,&lspostctx);CHKERRQ(ierr);
2577     ierr = SNESLineSearchSetPreCheck(pclinesearch,precheck,lsprectx);CHKERRQ(ierr);
2578     ierr = SNESLineSearchSetPostCheck(pclinesearch,postcheck,lspostctx);CHKERRQ(ierr);
2579     ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch);CHKERRQ(ierr);
2580   }
2581 
2582   if (snes->ops->setup) {
2583     ierr = (*snes->ops->setup)(snes);CHKERRQ(ierr);
2584   }
2585 
2586   snes->setupcalled = PETSC_TRUE;
2587   PetscFunctionReturn(0);
2588 }
2589 
2590 #undef __FUNCT__
2591 #define __FUNCT__ "SNESReset"
2592 /*@
2593    SNESReset - Resets a SNES context to the snessetupcalled = 0 state and removes any allocated Vecs and Mats
2594 
2595    Collective on SNES
2596 
2597    Input Parameter:
2598 .  snes - iterative context obtained from SNESCreate()
2599 
2600    Level: intermediate
2601 
2602    Notes: Also calls the application context destroy routine set with SNESSetComputeApplicationContext()
2603 
2604 .keywords: SNES, destroy
2605 
2606 .seealso: SNESCreate(), SNESSetUp(), SNESSolve()
2607 @*/
2608 PetscErrorCode  SNESReset(SNES snes)
2609 {
2610   PetscErrorCode ierr;
2611 
2612   PetscFunctionBegin;
2613   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2614   if (snes->ops->userdestroy && snes->user) {
2615     ierr       = (*snes->ops->userdestroy)((void**)&snes->user);CHKERRQ(ierr);
2616     snes->user = NULL;
2617   }
2618   if (snes->pc) {
2619     ierr = SNESReset(snes->pc);CHKERRQ(ierr);
2620   }
2621 
2622   if (snes->ops->reset) {
2623     ierr = (*snes->ops->reset)(snes);CHKERRQ(ierr);
2624   }
2625   if (snes->ksp) {
2626     ierr = KSPReset(snes->ksp);CHKERRQ(ierr);
2627   }
2628 
2629   if (snes->linesearch) {
2630     ierr = SNESLineSearchReset(snes->linesearch);CHKERRQ(ierr);
2631   }
2632 
2633   ierr = VecDestroy(&snes->vec_rhs);CHKERRQ(ierr);
2634   ierr = VecDestroy(&snes->vec_sol);CHKERRQ(ierr);
2635   ierr = VecDestroy(&snes->vec_sol_update);CHKERRQ(ierr);
2636   ierr = VecDestroy(&snes->vec_func);CHKERRQ(ierr);
2637   ierr = MatDestroy(&snes->jacobian);CHKERRQ(ierr);
2638   ierr = MatDestroy(&snes->jacobian_pre);CHKERRQ(ierr);
2639   ierr = VecDestroyVecs(snes->nwork,&snes->work);CHKERRQ(ierr);
2640   ierr = VecDestroyVecs(snes->nvwork,&snes->vwork);CHKERRQ(ierr);
2641 
2642   snes->nwork       = snes->nvwork = 0;
2643   snes->setupcalled = PETSC_FALSE;
2644   PetscFunctionReturn(0);
2645 }
2646 
2647 #undef __FUNCT__
2648 #define __FUNCT__ "SNESDestroy"
2649 /*@
2650    SNESDestroy - Destroys the nonlinear solver context that was created
2651    with SNESCreate().
2652 
2653    Collective on SNES
2654 
2655    Input Parameter:
2656 .  snes - the SNES context
2657 
2658    Level: beginner
2659 
2660 .keywords: SNES, nonlinear, destroy
2661 
2662 .seealso: SNESCreate(), SNESSolve()
2663 @*/
2664 PetscErrorCode  SNESDestroy(SNES *snes)
2665 {
2666   PetscErrorCode ierr;
2667 
2668   PetscFunctionBegin;
2669   if (!*snes) PetscFunctionReturn(0);
2670   PetscValidHeaderSpecific((*snes),SNES_CLASSID,1);
2671   if (--((PetscObject)(*snes))->refct > 0) {*snes = 0; PetscFunctionReturn(0);}
2672 
2673   ierr = SNESReset((*snes));CHKERRQ(ierr);
2674   ierr = SNESDestroy(&(*snes)->pc);CHKERRQ(ierr);
2675 
2676   /* if memory was published with AMS then destroy it */
2677   ierr = PetscObjectDepublish((*snes));CHKERRQ(ierr);
2678   if ((*snes)->ops->destroy) {ierr = (*((*snes))->ops->destroy)((*snes));CHKERRQ(ierr);}
2679 
2680   ierr = DMDestroy(&(*snes)->dm);CHKERRQ(ierr);
2681   ierr = KSPDestroy(&(*snes)->ksp);CHKERRQ(ierr);
2682   ierr = SNESLineSearchDestroy(&(*snes)->linesearch);CHKERRQ(ierr);
2683 
2684   ierr = PetscFree((*snes)->kspconvctx);CHKERRQ(ierr);
2685   if ((*snes)->ops->convergeddestroy) {
2686     ierr = (*(*snes)->ops->convergeddestroy)((*snes)->cnvP);CHKERRQ(ierr);
2687   }
2688   if ((*snes)->conv_malloc) {
2689     ierr = PetscFree((*snes)->conv_hist);CHKERRQ(ierr);
2690     ierr = PetscFree((*snes)->conv_hist_its);CHKERRQ(ierr);
2691   }
2692   ierr = SNESMonitorCancel((*snes));CHKERRQ(ierr);
2693   ierr = PetscHeaderDestroy(snes);CHKERRQ(ierr);
2694   PetscFunctionReturn(0);
2695 }
2696 
2697 /* ----------- Routines to set solver parameters ---------- */
2698 
2699 #undef __FUNCT__
2700 #define __FUNCT__ "SNESSetLagPreconditioner"
2701 /*@
2702    SNESSetLagPreconditioner - Determines when the preconditioner is rebuilt in the nonlinear solve.
2703 
2704    Logically Collective on SNES
2705 
2706    Input Parameters:
2707 +  snes - the SNES context
2708 -  lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
2709          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that
2710 
2711    Options Database Keys:
2712 .    -snes_lag_preconditioner <lag>
2713 
2714    Notes:
2715    The default is 1
2716    The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1
2717    If  -1 is used before the very first nonlinear solve the preconditioner is still built because there is no previous preconditioner to use
2718 
2719    Level: intermediate
2720 
2721 .keywords: SNES, nonlinear, set, convergence, tolerances
2722 
2723 .seealso: SNESSetTrustRegionTolerance(), SNESGetLagPreconditioner(), SNESSetLagJacobian(), SNESGetLagJacobian()
2724 
2725 @*/
2726 PetscErrorCode  SNESSetLagPreconditioner(SNES snes,PetscInt lag)
2727 {
2728   PetscFunctionBegin;
2729   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2730   if (lag < -2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag must be -2, -1, 1 or greater");
2731   if (!lag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag cannot be 0");
2732   PetscValidLogicalCollectiveInt(snes,lag,2);
2733   snes->lagpreconditioner = lag;
2734   PetscFunctionReturn(0);
2735 }
2736 
2737 #undef __FUNCT__
2738 #define __FUNCT__ "SNESSetGridSequence"
2739 /*@
2740    SNESSetGridSequence - sets the number of steps of grid sequencing that SNES does
2741 
2742    Logically Collective on SNES
2743 
2744    Input Parameters:
2745 +  snes - the SNES context
2746 -  steps - the number of refinements to do, defaults to 0
2747 
2748    Options Database Keys:
2749 .    -snes_grid_sequence <steps>
2750 
2751    Level: intermediate
2752 
2753    Notes:
2754    Use SNESGetSolution() to extract the fine grid solution after grid sequencing.
2755 
2756 .keywords: SNES, nonlinear, set, convergence, tolerances
2757 
2758 .seealso: SNESSetTrustRegionTolerance(), SNESGetLagPreconditioner(), SNESSetLagJacobian(), SNESGetLagJacobian()
2759 
2760 @*/
2761 PetscErrorCode  SNESSetGridSequence(SNES snes,PetscInt steps)
2762 {
2763   PetscFunctionBegin;
2764   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2765   PetscValidLogicalCollectiveInt(snes,steps,2);
2766   snes->gridsequence = steps;
2767   PetscFunctionReturn(0);
2768 }
2769 
2770 #undef __FUNCT__
2771 #define __FUNCT__ "SNESGetLagPreconditioner"
2772 /*@
2773    SNESGetLagPreconditioner - Indicates how often the preconditioner is rebuilt
2774 
2775    Not Collective
2776 
2777    Input Parameter:
2778 .  snes - the SNES context
2779 
2780    Output Parameter:
2781 .   lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
2782          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that
2783 
2784    Options Database Keys:
2785 .    -snes_lag_preconditioner <lag>
2786 
2787    Notes:
2788    The default is 1
2789    The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1
2790 
2791    Level: intermediate
2792 
2793 .keywords: SNES, nonlinear, set, convergence, tolerances
2794 
2795 .seealso: SNESSetTrustRegionTolerance(), SNESSetLagPreconditioner()
2796 
2797 @*/
2798 PetscErrorCode  SNESGetLagPreconditioner(SNES snes,PetscInt *lag)
2799 {
2800   PetscFunctionBegin;
2801   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2802   *lag = snes->lagpreconditioner;
2803   PetscFunctionReturn(0);
2804 }
2805 
2806 #undef __FUNCT__
2807 #define __FUNCT__ "SNESSetLagJacobian"
2808 /*@
2809    SNESSetLagJacobian - Determines when the Jacobian is rebuilt in the nonlinear solve. See SNESSetLagPreconditioner() for determining how
2810      often the preconditioner is rebuilt.
2811 
2812    Logically Collective on SNES
2813 
2814    Input Parameters:
2815 +  snes - the SNES context
2816 -  lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
2817          the Jacobian is built etc. -2 means rebuild at next chance but then never again
2818 
2819    Options Database Keys:
2820 .    -snes_lag_jacobian <lag>
2821 
2822    Notes:
2823    The default is 1
2824    The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1
2825    If  -1 is used before the very first nonlinear solve the CODE WILL FAIL! because no Jacobian is used, use -2 to indicate you want it recomputed
2826    at the next Newton step but never again (unless it is reset to another value)
2827 
2828    Level: intermediate
2829 
2830 .keywords: SNES, nonlinear, set, convergence, tolerances
2831 
2832 .seealso: SNESSetTrustRegionTolerance(), SNESGetLagPreconditioner(), SNESSetLagPreconditioner(), SNESGetLagJacobian()
2833 
2834 @*/
2835 PetscErrorCode  SNESSetLagJacobian(SNES snes,PetscInt lag)
2836 {
2837   PetscFunctionBegin;
2838   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2839   if (lag < -2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag must be -2, -1, 1 or greater");
2840   if (!lag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag cannot be 0");
2841   PetscValidLogicalCollectiveInt(snes,lag,2);
2842   snes->lagjacobian = lag;
2843   PetscFunctionReturn(0);
2844 }
2845 
2846 #undef __FUNCT__
2847 #define __FUNCT__ "SNESGetLagJacobian"
2848 /*@
2849    SNESGetLagJacobian - Indicates how often the Jacobian is rebuilt. See SNESGetLagPreconditioner() to determine when the preconditioner is rebuilt
2850 
2851    Not Collective
2852 
2853    Input Parameter:
2854 .  snes - the SNES context
2855 
2856    Output Parameter:
2857 .   lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
2858          the Jacobian is built etc.
2859 
2860    Options Database Keys:
2861 .    -snes_lag_jacobian <lag>
2862 
2863    Notes:
2864    The default is 1
2865    The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1
2866 
2867    Level: intermediate
2868 
2869 .keywords: SNES, nonlinear, set, convergence, tolerances
2870 
2871 .seealso: SNESSetTrustRegionTolerance(), SNESSetLagJacobian(), SNESSetLagPreconditioner(), SNESGetLagPreconditioner()
2872 
2873 @*/
2874 PetscErrorCode  SNESGetLagJacobian(SNES snes,PetscInt *lag)
2875 {
2876   PetscFunctionBegin;
2877   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2878   *lag = snes->lagjacobian;
2879   PetscFunctionReturn(0);
2880 }
2881 
2882 #undef __FUNCT__
2883 #define __FUNCT__ "SNESSetTolerances"
2884 /*@
2885    SNESSetTolerances - Sets various parameters used in convergence tests.
2886 
2887    Logically Collective on SNES
2888 
2889    Input Parameters:
2890 +  snes - the SNES context
2891 .  abstol - absolute convergence tolerance
2892 .  rtol - relative convergence tolerance
2893 .  stol -  convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
2894 .  maxit - maximum number of iterations
2895 -  maxf - maximum number of function evaluations
2896 
2897    Options Database Keys:
2898 +    -snes_atol <abstol> - Sets abstol
2899 .    -snes_rtol <rtol> - Sets rtol
2900 .    -snes_stol <stol> - Sets stol
2901 .    -snes_max_it <maxit> - Sets maxit
2902 -    -snes_max_funcs <maxf> - Sets maxf
2903 
2904    Notes:
2905    The default maximum number of iterations is 50.
2906    The default maximum number of function evaluations is 1000.
2907 
2908    Level: intermediate
2909 
2910 .keywords: SNES, nonlinear, set, convergence, tolerances
2911 
2912 .seealso: SNESSetTrustRegionTolerance()
2913 @*/
2914 PetscErrorCode  SNESSetTolerances(SNES snes,PetscReal abstol,PetscReal rtol,PetscReal stol,PetscInt maxit,PetscInt maxf)
2915 {
2916   PetscFunctionBegin;
2917   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2918   PetscValidLogicalCollectiveReal(snes,abstol,2);
2919   PetscValidLogicalCollectiveReal(snes,rtol,3);
2920   PetscValidLogicalCollectiveReal(snes,stol,4);
2921   PetscValidLogicalCollectiveInt(snes,maxit,5);
2922   PetscValidLogicalCollectiveInt(snes,maxf,6);
2923 
2924   if (abstol != PETSC_DEFAULT) {
2925     if (abstol < 0.0) SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_OUTOFRANGE,"Absolute tolerance %G must be non-negative",abstol);
2926     snes->abstol = abstol;
2927   }
2928   if (rtol != PETSC_DEFAULT) {
2929     if (rtol < 0.0 || 1.0 <= rtol) SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_OUTOFRANGE,"Relative tolerance %G must be non-negative and less than 1.0",rtol);
2930     snes->rtol = rtol;
2931   }
2932   if (stol != PETSC_DEFAULT) {
2933     if (stol < 0.0) SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_OUTOFRANGE,"Step tolerance %G must be non-negative",stol);
2934     snes->stol = stol;
2935   }
2936   if (maxit != PETSC_DEFAULT) {
2937     if (maxit < 0) SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_OUTOFRANGE,"Maximum number of iterations %D must be non-negative",maxit);
2938     snes->max_its = maxit;
2939   }
2940   if (maxf != PETSC_DEFAULT) {
2941     if (maxf < 0) SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_OUTOFRANGE,"Maximum number of function evaluations %D must be non-negative",maxf);
2942     snes->max_funcs = maxf;
2943   }
2944   snes->tolerancesset = PETSC_TRUE;
2945   PetscFunctionReturn(0);
2946 }
2947 
2948 #undef __FUNCT__
2949 #define __FUNCT__ "SNESGetTolerances"
2950 /*@
2951    SNESGetTolerances - Gets various parameters used in convergence tests.
2952 
2953    Not Collective
2954 
2955    Input Parameters:
2956 +  snes - the SNES context
2957 .  atol - absolute convergence tolerance
2958 .  rtol - relative convergence tolerance
2959 .  stol -  convergence tolerance in terms of the norm
2960            of the change in the solution between steps
2961 .  maxit - maximum number of iterations
2962 -  maxf - maximum number of function evaluations
2963 
2964    Notes:
2965    The user can specify NULL for any parameter that is not needed.
2966 
2967    Level: intermediate
2968 
2969 .keywords: SNES, nonlinear, get, convergence, tolerances
2970 
2971 .seealso: SNESSetTolerances()
2972 @*/
2973 PetscErrorCode  SNESGetTolerances(SNES snes,PetscReal *atol,PetscReal *rtol,PetscReal *stol,PetscInt *maxit,PetscInt *maxf)
2974 {
2975   PetscFunctionBegin;
2976   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
2977   if (atol)  *atol  = snes->abstol;
2978   if (rtol)  *rtol  = snes->rtol;
2979   if (stol)  *stol  = snes->stol;
2980   if (maxit) *maxit = snes->max_its;
2981   if (maxf)  *maxf  = snes->max_funcs;
2982   PetscFunctionReturn(0);
2983 }
2984 
2985 #undef __FUNCT__
2986 #define __FUNCT__ "SNESSetTrustRegionTolerance"
2987 /*@
2988    SNESSetTrustRegionTolerance - Sets the trust region parameter tolerance.
2989 
2990    Logically Collective on SNES
2991 
2992    Input Parameters:
2993 +  snes - the SNES context
2994 -  tol - tolerance
2995 
2996    Options Database Key:
2997 .  -snes_trtol <tol> - Sets tol
2998 
2999    Level: intermediate
3000 
3001 .keywords: SNES, nonlinear, set, trust region, tolerance
3002 
3003 .seealso: SNESSetTolerances()
3004 @*/
3005 PetscErrorCode  SNESSetTrustRegionTolerance(SNES snes,PetscReal tol)
3006 {
3007   PetscFunctionBegin;
3008   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3009   PetscValidLogicalCollectiveReal(snes,tol,2);
3010   snes->deltatol = tol;
3011   PetscFunctionReturn(0);
3012 }
3013 
3014 /*
3015    Duplicate the lg monitors for SNES from KSP; for some reason with
3016    dynamic libraries things don't work under Sun4 if we just use
3017    macros instead of functions
3018 */
3019 #undef __FUNCT__
3020 #define __FUNCT__ "SNESMonitorLGResidualNorm"
3021 PetscErrorCode  SNESMonitorLGResidualNorm(SNES snes,PetscInt it,PetscReal norm,void *ctx)
3022 {
3023   PetscErrorCode ierr;
3024 
3025   PetscFunctionBegin;
3026   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3027   ierr = KSPMonitorLGResidualNorm((KSP)snes,it,norm,ctx);CHKERRQ(ierr);
3028   PetscFunctionReturn(0);
3029 }
3030 
3031 #undef __FUNCT__
3032 #define __FUNCT__ "SNESMonitorLGCreate"
3033 PetscErrorCode  SNESMonitorLGCreate(const char host[],const char label[],int x,int y,int m,int n,PetscDrawLG *draw)
3034 {
3035   PetscErrorCode ierr;
3036 
3037   PetscFunctionBegin;
3038   ierr = KSPMonitorLGResidualNormCreate(host,label,x,y,m,n,draw);CHKERRQ(ierr);
3039   PetscFunctionReturn(0);
3040 }
3041 
3042 #undef __FUNCT__
3043 #define __FUNCT__ "SNESMonitorLGDestroy"
3044 PetscErrorCode  SNESMonitorLGDestroy(PetscDrawLG *draw)
3045 {
3046   PetscErrorCode ierr;
3047 
3048   PetscFunctionBegin;
3049   ierr = KSPMonitorLGResidualNormDestroy(draw);CHKERRQ(ierr);
3050   PetscFunctionReturn(0);
3051 }
3052 
3053 extern PetscErrorCode  SNESMonitorRange_Private(SNES,PetscInt,PetscReal*);
3054 #undef __FUNCT__
3055 #define __FUNCT__ "SNESMonitorLGRange"
3056 PetscErrorCode  SNESMonitorLGRange(SNES snes,PetscInt n,PetscReal rnorm,void *monctx)
3057 {
3058   PetscDrawLG      lg;
3059   PetscErrorCode   ierr;
3060   PetscReal        x,y,per;
3061   PetscViewer      v = (PetscViewer)monctx;
3062   static PetscReal prev; /* should be in the context */
3063   PetscDraw        draw;
3064 
3065   PetscFunctionBegin;
3066   ierr = PetscViewerDrawGetDrawLG(v,0,&lg);CHKERRQ(ierr);
3067   if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
3068   ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
3069   ierr = PetscDrawSetTitle(draw,"Residual norm");CHKERRQ(ierr);
3070   x    = (PetscReal)n;
3071   if (rnorm > 0.0) y = log10(rnorm);
3072   else y = -15.0;
3073   ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
3074   if (n < 20 || !(n % 5)) {
3075     ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
3076   }
3077 
3078   ierr = PetscViewerDrawGetDrawLG(v,1,&lg);CHKERRQ(ierr);
3079   if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
3080   ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
3081   ierr = PetscDrawSetTitle(draw,"% elemts > .2*max elemt");CHKERRQ(ierr);
3082   ierr =  SNESMonitorRange_Private(snes,n,&per);CHKERRQ(ierr);
3083   x    = (PetscReal)n;
3084   y    = 100.0*per;
3085   ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
3086   if (n < 20 || !(n % 5)) {
3087     ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
3088   }
3089 
3090   ierr = PetscViewerDrawGetDrawLG(v,2,&lg);CHKERRQ(ierr);
3091   if (!n) {prev = rnorm;ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
3092   ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
3093   ierr = PetscDrawSetTitle(draw,"(norm -oldnorm)/oldnorm");CHKERRQ(ierr);
3094   x    = (PetscReal)n;
3095   y    = (prev - rnorm)/prev;
3096   ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
3097   if (n < 20 || !(n % 5)) {
3098     ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
3099   }
3100 
3101   ierr = PetscViewerDrawGetDrawLG(v,3,&lg);CHKERRQ(ierr);
3102   if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
3103   ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
3104   ierr = PetscDrawSetTitle(draw,"(norm -oldnorm)/oldnorm*(% > .2 max)");CHKERRQ(ierr);
3105   x    = (PetscReal)n;
3106   y    = (prev - rnorm)/(prev*per);
3107   if (n > 2) { /*skip initial crazy value */
3108     ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
3109   }
3110   if (n < 20 || !(n % 5)) {
3111     ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
3112   }
3113   prev = rnorm;
3114   PetscFunctionReturn(0);
3115 }
3116 
3117 #undef __FUNCT__
3118 #define __FUNCT__ "SNESMonitor"
3119 /*@
3120    SNESMonitor - runs the user provided monitor routines, if they exist
3121 
3122    Collective on SNES
3123 
3124    Input Parameters:
3125 +  snes - nonlinear solver context obtained from SNESCreate()
3126 .  iter - iteration number
3127 -  rnorm - relative norm of the residual
3128 
3129    Notes:
3130    This routine is called by the SNES implementations.
3131    It does not typically need to be called by the user.
3132 
3133    Level: developer
3134 
3135 .seealso: SNESMonitorSet()
3136 @*/
3137 PetscErrorCode  SNESMonitor(SNES snes,PetscInt iter,PetscReal rnorm)
3138 {
3139   PetscErrorCode ierr;
3140   PetscInt       i,n = snes->numbermonitors;
3141 
3142   PetscFunctionBegin;
3143   for (i=0; i<n; i++) {
3144     ierr = (*snes->monitor[i])(snes,iter,rnorm,snes->monitorcontext[i]);CHKERRQ(ierr);
3145   }
3146   PetscFunctionReturn(0);
3147 }
3148 
3149 /* ------------ Routines to set performance monitoring options ----------- */
3150 
3151 /*MC
3152     SNESMonitorFunction - functional form passed to SNESMonitorSet() to monitor convergence of nonlinear solver
3153 
3154      Synopsis:
3155      #include "petscsnes.h"
3156 $    PetscErrorCode SNESMonitorFunction(SNES snes,PetscInt its, PetscReal norm,void *mctx)
3157 
3158 +    snes - the SNES context
3159 .    its - iteration number
3160 .    norm - 2-norm function value (may be estimated)
3161 -    mctx - [optional] monitoring context
3162 
3163 .seealso:   SNESMonitorSet(), SNESMonitorGet()
3164 M*/
3165 
3166 #undef __FUNCT__
3167 #define __FUNCT__ "SNESMonitorSet"
3168 /*@C
3169    SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
3170    iteration of the nonlinear solver to display the iteration's
3171    progress.
3172 
3173    Logically Collective on SNES
3174 
3175    Input Parameters:
3176 +  snes - the SNES context
3177 .  SNESMonitorFunction - monitoring routine
3178 .  mctx - [optional] user-defined context for private data for the
3179           monitor routine (use NULL if no context is desired)
3180 -  monitordestroy - [optional] routine that frees monitor context
3181           (may be NULL)
3182 
3183    Options Database Keys:
3184 +    -snes_monitor        - sets SNESMonitorDefault()
3185 .    -snes_monitor_lg_residualnorm    - sets line graph monitor,
3186                             uses SNESMonitorLGCreate()
3187 -    -snes_monitor_cancel - cancels all monitors that have
3188                             been hardwired into a code by
3189                             calls to SNESMonitorSet(), but
3190                             does not cancel those set via
3191                             the options database.
3192 
3193    Notes:
3194    Several different monitoring routines may be set by calling
3195    SNESMonitorSet() multiple times; all will be called in the
3196    order in which they were set.
3197 
3198    Fortran notes: Only a single monitor function can be set for each SNES object
3199 
3200    Level: intermediate
3201 
3202 .keywords: SNES, nonlinear, set, monitor
3203 
3204 .seealso: SNESMonitorDefault(), SNESMonitorCancel(), SNESMonitorFunction
3205 @*/
3206 PetscErrorCode  SNESMonitorSet(SNES snes,PetscErrorCode (*SNESMonitorFunction)(SNES,PetscInt,PetscReal,void*),void *mctx,PetscErrorCode (*monitordestroy)(void**))
3207 {
3208   PetscInt       i;
3209   PetscErrorCode ierr;
3210 
3211   PetscFunctionBegin;
3212   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3213   if (snes->numbermonitors >= MAXSNESMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3214   for (i=0; i<snes->numbermonitors;i++) {
3215     if (SNESMonitorFunction == snes->monitor[i] && monitordestroy == snes->monitordestroy[i] && mctx == snes->monitorcontext[i]) {
3216       if (monitordestroy) {
3217         ierr = (*monitordestroy)(&mctx);CHKERRQ(ierr);
3218       }
3219       PetscFunctionReturn(0);
3220     }
3221   }
3222   snes->monitor[snes->numbermonitors]          = SNESMonitorFunction;
3223   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
3224   snes->monitorcontext[snes->numbermonitors++] = (void*)mctx;
3225   PetscFunctionReturn(0);
3226 }
3227 
3228 #undef __FUNCT__
3229 #define __FUNCT__ "SNESMonitorCancel"
3230 /*@C
3231    SNESMonitorCancel - Clears all the monitor functions for a SNES object.
3232 
3233    Logically Collective on SNES
3234 
3235    Input Parameters:
3236 .  snes - the SNES context
3237 
3238    Options Database Key:
3239 .  -snes_monitor_cancel - cancels all monitors that have been hardwired
3240     into a code by calls to SNESMonitorSet(), but does not cancel those
3241     set via the options database
3242 
3243    Notes:
3244    There is no way to clear one specific monitor from a SNES object.
3245 
3246    Level: intermediate
3247 
3248 .keywords: SNES, nonlinear, set, monitor
3249 
3250 .seealso: SNESMonitorDefault(), SNESMonitorSet()
3251 @*/
3252 PetscErrorCode  SNESMonitorCancel(SNES snes)
3253 {
3254   PetscErrorCode ierr;
3255   PetscInt       i;
3256 
3257   PetscFunctionBegin;
3258   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3259   for (i=0; i<snes->numbermonitors; i++) {
3260     if (snes->monitordestroy[i]) {
3261       ierr = (*snes->monitordestroy[i])(&snes->monitorcontext[i]);CHKERRQ(ierr);
3262     }
3263   }
3264   snes->numbermonitors = 0;
3265   PetscFunctionReturn(0);
3266 }
3267 
3268 /*MC
3269     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver
3270 
3271      Synopsis:
3272      #include "petscsnes.h"
3273 $     PetscErrorCode SNESConvergenceTest(SNES snes,PetscInt it,PetscReal xnorm,PetscReal gnorm,PetscReal f,SNESConvergedReason *reason,void *cctx)
3274 
3275 +    snes - the SNES context
3276 .    it - current iteration (0 is the first and is before any Newton step)
3277 .    cctx - [optional] convergence context
3278 .    reason - reason for convergence/divergence
3279 .    xnorm - 2-norm of current iterate
3280 .    gnorm - 2-norm of current step
3281 -    f - 2-norm of function
3282 
3283 
3284 .seealso:   SNESSetConvergenceTest(), SNESGetConvergenceTest()
3285 M*/
3286 
3287 #undef __FUNCT__
3288 #define __FUNCT__ "SNESSetConvergenceTest"
3289 /*@C
3290    SNESSetConvergenceTest - Sets the function that is to be used
3291    to test for convergence of the nonlinear iterative solution.
3292 
3293    Logically Collective on SNES
3294 
3295    Input Parameters:
3296 +  snes - the SNES context
3297 .  SNESConvergenceTestFunction - routine to test for convergence
3298 .  cctx - [optional] context for private data for the convergence routine  (may be NULL)
3299 -  destroy - [optional] destructor for the context (may be NULL; NULL_FUNCTION in Fortran)
3300 
3301    Level: advanced
3302 
3303 .keywords: SNES, nonlinear, set, convergence, test
3304 
3305 .seealso: SNESConvergedDefault(), SNESSkipConverged(), SNESConvergenceTestFunction
3306 @*/
3307 PetscErrorCode  SNESSetConvergenceTest(SNES snes,PetscErrorCode (*SNESConvergenceTestFunction)(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*),void *cctx,PetscErrorCode (*destroy)(void*))
3308 {
3309   PetscErrorCode ierr;
3310 
3311   PetscFunctionBegin;
3312   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3313   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESSkipConverged;
3314   if (snes->ops->convergeddestroy) {
3315     ierr = (*snes->ops->convergeddestroy)(snes->cnvP);CHKERRQ(ierr);
3316   }
3317   snes->ops->converged        = SNESConvergenceTestFunction;
3318   snes->ops->convergeddestroy = destroy;
3319   snes->cnvP                  = cctx;
3320   PetscFunctionReturn(0);
3321 }
3322 
3323 #undef __FUNCT__
3324 #define __FUNCT__ "SNESGetConvergedReason"
3325 /*@
3326    SNESGetConvergedReason - Gets the reason the SNES iteration was stopped.
3327 
3328    Not Collective
3329 
3330    Input Parameter:
3331 .  snes - the SNES context
3332 
3333    Output Parameter:
3334 .  reason - negative value indicates diverged, positive value converged, see SNESConvergedReason or the
3335             manual pages for the individual convergence tests for complete lists
3336 
3337    Level: intermediate
3338 
3339    Notes: Can only be called after the call the SNESSolve() is complete.
3340 
3341 .keywords: SNES, nonlinear, set, convergence, test
3342 
3343 .seealso: SNESSetConvergenceTest(), SNESConvergedReason
3344 @*/
3345 PetscErrorCode  SNESGetConvergedReason(SNES snes,SNESConvergedReason *reason)
3346 {
3347   PetscFunctionBegin;
3348   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3349   PetscValidPointer(reason,2);
3350   *reason = snes->reason;
3351   PetscFunctionReturn(0);
3352 }
3353 
3354 #undef __FUNCT__
3355 #define __FUNCT__ "SNESSetConvergenceHistory"
3356 /*@
3357    SNESSetConvergenceHistory - Sets the array used to hold the convergence history.
3358 
3359    Logically Collective on SNES
3360 
3361    Input Parameters:
3362 +  snes - iterative context obtained from SNESCreate()
3363 .  a   - array to hold history, this array will contain the function norms computed at each step
3364 .  its - integer array holds the number of linear iterations for each solve.
3365 .  na  - size of a and its
3366 -  reset - PETSC_TRUE indicates each new nonlinear solve resets the history counter to zero,
3367            else it continues storing new values for new nonlinear solves after the old ones
3368 
3369    Notes:
3370    If 'a' and 'its' are NULL then space is allocated for the history. If 'na' PETSC_DECIDE or PETSC_DEFAULT then a
3371    default array of length 10000 is allocated.
3372 
3373    This routine is useful, e.g., when running a code for purposes
3374    of accurate performance monitoring, when no I/O should be done
3375    during the section of code that is being timed.
3376 
3377    Level: intermediate
3378 
3379 .keywords: SNES, set, convergence, history
3380 
3381 .seealso: SNESGetConvergenceHistory()
3382 
3383 @*/
3384 PetscErrorCode  SNESSetConvergenceHistory(SNES snes,PetscReal a[],PetscInt its[],PetscInt na,PetscBool reset)
3385 {
3386   PetscErrorCode ierr;
3387 
3388   PetscFunctionBegin;
3389   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3390   if (na) PetscValidScalarPointer(a,2);
3391   if (its) PetscValidIntPointer(its,3);
3392   if (na == PETSC_DECIDE || na == PETSC_DEFAULT || !a) {
3393     if (na == PETSC_DECIDE || na == PETSC_DEFAULT) na = 1000;
3394     ierr = PetscMalloc(na*sizeof(PetscReal),&a);CHKERRQ(ierr);
3395     ierr = PetscMalloc(na*sizeof(PetscInt),&its);CHKERRQ(ierr);
3396 
3397     snes->conv_malloc = PETSC_TRUE;
3398   }
3399   snes->conv_hist       = a;
3400   snes->conv_hist_its   = its;
3401   snes->conv_hist_max   = na;
3402   snes->conv_hist_len   = 0;
3403   snes->conv_hist_reset = reset;
3404   PetscFunctionReturn(0);
3405 }
3406 
3407 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3408 #include <engine.h>   /* MATLAB include file */
3409 #include <mex.h>      /* MATLAB include file */
3410 
3411 #undef __FUNCT__
3412 #define __FUNCT__ "SNESGetConvergenceHistoryMatlab"
3413 PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
3414 {
3415   mxArray   *mat;
3416   PetscInt  i;
3417   PetscReal *ar;
3418 
3419   PetscFunctionBegin;
3420   mat = mxCreateDoubleMatrix(snes->conv_hist_len,1,mxREAL);
3421   ar  = (PetscReal*) mxGetData(mat);
3422   for (i=0; i<snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
3423   PetscFunctionReturn(mat);
3424 }
3425 #endif
3426 
3427 #undef __FUNCT__
3428 #define __FUNCT__ "SNESGetConvergenceHistory"
3429 /*@C
3430    SNESGetConvergenceHistory - Gets the array used to hold the convergence history.
3431 
3432    Not Collective
3433 
3434    Input Parameter:
3435 .  snes - iterative context obtained from SNESCreate()
3436 
3437    Output Parameters:
3438 .  a   - array to hold history
3439 .  its - integer array holds the number of linear iterations (or
3440          negative if not converged) for each solve.
3441 -  na  - size of a and its
3442 
3443    Notes:
3444     The calling sequence for this routine in Fortran is
3445 $   call SNESGetConvergenceHistory(SNES snes, integer na, integer ierr)
3446 
3447    This routine is useful, e.g., when running a code for purposes
3448    of accurate performance monitoring, when no I/O should be done
3449    during the section of code that is being timed.
3450 
3451    Level: intermediate
3452 
3453 .keywords: SNES, get, convergence, history
3454 
3455 .seealso: SNESSetConvergencHistory()
3456 
3457 @*/
3458 PetscErrorCode  SNESGetConvergenceHistory(SNES snes,PetscReal *a[],PetscInt *its[],PetscInt *na)
3459 {
3460   PetscFunctionBegin;
3461   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3462   if (a)   *a   = snes->conv_hist;
3463   if (its) *its = snes->conv_hist_its;
3464   if (na)  *na  = snes->conv_hist_len;
3465   PetscFunctionReturn(0);
3466 }
3467 
3468 #undef __FUNCT__
3469 #define __FUNCT__ "SNESSetUpdate"
3470 /*@C
3471   SNESSetUpdate - Sets the general-purpose update function called
3472   at the beginning of every iteration of the nonlinear solve. Specifically
3473   it is called just before the Jacobian is "evaluated".
3474 
3475   Logically Collective on SNES
3476 
3477   Input Parameters:
3478 . snes - The nonlinear solver context
3479 . func - The function
3480 
3481   Calling sequence of func:
3482 . func (SNES snes, PetscInt step);
3483 
3484 . step - The current step of the iteration
3485 
3486   Level: advanced
3487 
3488   Note: This is NOT what one uses to update the ghost points before a function evaluation, that should be done at the beginning of your FormFunction()
3489         This is not used by most users.
3490 
3491 .keywords: SNES, update
3492 
3493 .seealso SNESSetJacobian(), SNESSolve()
3494 @*/
3495 PetscErrorCode  SNESSetUpdate(SNES snes, PetscErrorCode (*func)(SNES, PetscInt))
3496 {
3497   PetscFunctionBegin;
3498   PetscValidHeaderSpecific(snes, SNES_CLASSID,1);
3499   snes->ops->update = func;
3500   PetscFunctionReturn(0);
3501 }
3502 
3503 #undef __FUNCT__
3504 #define __FUNCT__ "SNESScaleStep_Private"
3505 /*
3506    SNESScaleStep_Private - Scales a step so that its length is less than the
3507    positive parameter delta.
3508 
3509     Input Parameters:
3510 +   snes - the SNES context
3511 .   y - approximate solution of linear system
3512 .   fnorm - 2-norm of current function
3513 -   delta - trust region size
3514 
3515     Output Parameters:
3516 +   gpnorm - predicted function norm at the new point, assuming local
3517     linearization.  The value is zero if the step lies within the trust
3518     region, and exceeds zero otherwise.
3519 -   ynorm - 2-norm of the step
3520 
3521     Note:
3522     For non-trust region methods such as SNESNEWTONLS, the parameter delta
3523     is set to be the maximum allowable step size.
3524 
3525 .keywords: SNES, nonlinear, scale, step
3526 */
3527 PetscErrorCode SNESScaleStep_Private(SNES snes,Vec y,PetscReal *fnorm,PetscReal *delta,PetscReal *gpnorm,PetscReal *ynorm)
3528 {
3529   PetscReal      nrm;
3530   PetscScalar    cnorm;
3531   PetscErrorCode ierr;
3532 
3533   PetscFunctionBegin;
3534   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3535   PetscValidHeaderSpecific(y,VEC_CLASSID,2);
3536   PetscCheckSameComm(snes,1,y,2);
3537 
3538   ierr = VecNorm(y,NORM_2,&nrm);CHKERRQ(ierr);
3539   if (nrm > *delta) {
3540     nrm     = *delta/nrm;
3541     *gpnorm = (1.0 - nrm)*(*fnorm);
3542     cnorm   = nrm;
3543     ierr    = VecScale(y,cnorm);CHKERRQ(ierr);
3544     *ynorm  = *delta;
3545   } else {
3546     *gpnorm = 0.0;
3547     *ynorm  = nrm;
3548   }
3549   PetscFunctionReturn(0);
3550 }
3551 
3552 #undef __FUNCT__
3553 #define __FUNCT__ "SNESSolve"
3554 /*@C
3555    SNESSolve - Solves a nonlinear system F(x) = b.
3556    Call SNESSolve() after calling SNESCreate() and optional routines of the form SNESSetXXX().
3557 
3558    Collective on SNES
3559 
3560    Input Parameters:
3561 +  snes - the SNES context
3562 .  b - the constant part of the equation F(x) = b, or NULL to use zero.
3563 -  x - the solution vector.
3564 
3565    Notes:
3566    The user should initialize the vector,x, with the initial guess
3567    for the nonlinear solve prior to calling SNESSolve.  In particular,
3568    to employ an initial guess of zero, the user should explicitly set
3569    this vector to zero by calling VecSet().
3570 
3571    Level: beginner
3572 
3573 .keywords: SNES, nonlinear, solve
3574 
3575 .seealso: SNESCreate(), SNESDestroy(), SNESSetFunction(), SNESSetJacobian(), SNESSetGridSequence(), SNESGetSolution()
3576 @*/
3577 PetscErrorCode  SNESSolve(SNES snes,Vec b,Vec x)
3578 {
3579   PetscErrorCode    ierr;
3580   PetscBool         flg;
3581   PetscViewer       viewer;
3582   PetscInt          grid;
3583   Vec               xcreated = NULL;
3584   DM                dm;
3585   PetscViewerFormat format;
3586 
3587   PetscFunctionBegin;
3588   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3589   if (x) PetscValidHeaderSpecific(x,VEC_CLASSID,3);
3590   if (x) PetscCheckSameComm(snes,1,x,3);
3591   if (b) PetscValidHeaderSpecific(b,VEC_CLASSID,2);
3592   if (b) PetscCheckSameComm(snes,1,b,2);
3593 
3594   if (!x) {
3595     ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
3596     ierr = DMCreateGlobalVector(dm,&xcreated);CHKERRQ(ierr);
3597     x    = xcreated;
3598   }
3599 
3600   for (grid=0; grid<snes->gridsequence; grid++) {ierr = PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)));CHKERRQ(ierr);}
3601   for (grid=0; grid<snes->gridsequence+1; grid++) {
3602 
3603     /* set solution vector */
3604     if (!grid) {ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);}
3605     ierr          = VecDestroy(&snes->vec_sol);CHKERRQ(ierr);
3606     snes->vec_sol = x;
3607     ierr          = SNESGetDM(snes,&dm);CHKERRQ(ierr);
3608 
3609     /* set affine vector if provided */
3610     if (b) { ierr = PetscObjectReference((PetscObject)b);CHKERRQ(ierr); }
3611     ierr          = VecDestroy(&snes->vec_rhs);CHKERRQ(ierr);
3612     snes->vec_rhs = b;
3613 
3614     ierr = SNESSetUp(snes);CHKERRQ(ierr);
3615 
3616     if (!grid) {
3617       if (snes->ops->computeinitialguess) {
3618         ierr = (*snes->ops->computeinitialguess)(snes,snes->vec_sol,snes->initialguessP);CHKERRQ(ierr);
3619       }
3620     }
3621 
3622     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
3623     snes->nfuncs = 0; snes->linear_its = 0; snes->numFailures = 0;
3624 
3625     ierr = PetscLogEventBegin(SNES_Solve,snes,0,0,0);CHKERRQ(ierr);
3626     ierr = (*snes->ops->solve)(snes);CHKERRQ(ierr);
3627 
3628     while (1) ;
3629     ierr = PetscLogEventEnd(SNES_Solve,snes,0,0,0);CHKERRQ(ierr);
3630     if (snes->domainerror) {
3631       snes->reason      = SNES_DIVERGED_FUNCTION_DOMAIN;
3632       snes->domainerror = PETSC_FALSE;
3633     }
3634     if (!snes->reason) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal error, solver returned without setting converged reason");
3635 
3636     flg  = PETSC_FALSE;
3637     ierr = PetscOptionsGetBool(((PetscObject)snes)->prefix,"-snes_test_local_min",&flg,NULL);CHKERRQ(ierr);
3638     if (flg && !PetscPreLoadingOn) { ierr = SNESTestLocalMin(snes);CHKERRQ(ierr); }
3639     if (snes->printreason) {
3640       ierr = PetscViewerASCIIAddTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)),((PetscObject)snes)->tablevel);CHKERRQ(ierr);
3641       if (snes->reason > 0) {
3642         ierr = PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)),"Nonlinear solve converged due to %s iterations %D\n",SNESConvergedReasons[snes->reason],snes->iter);CHKERRQ(ierr);
3643       } else {
3644         ierr = PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)),"Nonlinear solve did not converge due to %s iterations %D\n",SNESConvergedReasons[snes->reason],snes->iter);CHKERRQ(ierr);
3645       }
3646       ierr = PetscViewerASCIISubtractTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)),((PetscObject)snes)->tablevel);CHKERRQ(ierr);
3647     }
3648 
3649     if (snes->errorifnotconverged && snes->reason < 0) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_NOT_CONVERGED,"SNESSolve has not converged");
3650     if (grid <  snes->gridsequence) {
3651       DM  fine;
3652       Vec xnew;
3653       Mat interp;
3654 
3655       ierr = DMRefine(snes->dm,PetscObjectComm((PetscObject)snes),&fine);CHKERRQ(ierr);
3656       if (!fine) SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_INCOMP,"DMRefine() did not perform any refinement, cannot continue grid sequencing");
3657       ierr = DMCreateInterpolation(snes->dm,fine,&interp,NULL);CHKERRQ(ierr);
3658       ierr = DMCreateGlobalVector(fine,&xnew);CHKERRQ(ierr);
3659       ierr = MatInterpolate(interp,x,xnew);CHKERRQ(ierr);
3660       ierr = DMInterpolate(snes->dm,interp,fine);CHKERRQ(ierr);
3661       ierr = MatDestroy(&interp);CHKERRQ(ierr);
3662       x    = xnew;
3663 
3664       ierr = SNESReset(snes);CHKERRQ(ierr);
3665       ierr = SNESSetDM(snes,fine);CHKERRQ(ierr);
3666       ierr = DMDestroy(&fine);CHKERRQ(ierr);
3667       ierr = PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes)));CHKERRQ(ierr);
3668     }
3669   }
3670   /* monitoring and viewing */
3671   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes),((PetscObject)snes)->prefix,"-snes_view",&viewer,&format,&flg);CHKERRQ(ierr);
3672   if (flg && !PetscPreLoadingOn) {
3673     ierr = PetscViewerPushFormat(viewer,format);CHKERRQ(ierr);
3674     ierr = SNESView(snes,viewer);CHKERRQ(ierr);
3675     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3676     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
3677   }
3678   ierr = VecViewFromOptions(snes->vec_sol,"-snes_view_solution");CHKERRQ(ierr);
3679 
3680   ierr = VecDestroy(&xcreated);CHKERRQ(ierr);
3681   PetscFunctionReturn(0);
3682 }
3683 
3684 /* --------- Internal routines for SNES Package --------- */
3685 
3686 #undef __FUNCT__
3687 #define __FUNCT__ "SNESSetType"
3688 /*@C
3689    SNESSetType - Sets the method for the nonlinear solver.
3690 
3691    Collective on SNES
3692 
3693    Input Parameters:
3694 +  snes - the SNES context
3695 -  type - a known method
3696 
3697    Options Database Key:
3698 .  -snes_type <type> - Sets the method; use -help for a list
3699    of available methods (for instance, newtonls or newtontr)
3700 
3701    Notes:
3702    See "petsc/include/petscsnes.h" for available methods (for instance)
3703 +    SNESNEWTONLS - Newton's method with line search
3704      (systems of nonlinear equations)
3705 .    SNESNEWTONTR - Newton's method with trust region
3706      (systems of nonlinear equations)
3707 
3708   Normally, it is best to use the SNESSetFromOptions() command and then
3709   set the SNES solver type from the options database rather than by using
3710   this routine.  Using the options database provides the user with
3711   maximum flexibility in evaluating the many nonlinear solvers.
3712   The SNESSetType() routine is provided for those situations where it
3713   is necessary to set the nonlinear solver independently of the command
3714   line or options database.  This might be the case, for example, when
3715   the choice of solver changes during the execution of the program,
3716   and the user's application is taking responsibility for choosing the
3717   appropriate method.
3718 
3719   Level: intermediate
3720 
3721 .keywords: SNES, set, type
3722 
3723 .seealso: SNESType, SNESCreate()
3724 
3725 @*/
3726 PetscErrorCode  SNESSetType(SNES snes,SNESType type)
3727 {
3728   PetscErrorCode ierr,(*r)(SNES);
3729   PetscBool      match;
3730 
3731   PetscFunctionBegin;
3732   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3733   PetscValidCharPointer(type,2);
3734 
3735   ierr = PetscObjectTypeCompare((PetscObject)snes,type,&match);CHKERRQ(ierr);
3736   if (match) PetscFunctionReturn(0);
3737 
3738   ierr =  PetscFunctionListFind(PetscObjectComm((PetscObject)snes),SNESList,type,PETSC_TRUE,(void (**)(void)) &r);CHKERRQ(ierr);
3739   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unable to find requested SNES type %s",type);
3740   /* Destroy the previous private SNES context */
3741   if (snes->ops->destroy) {
3742     ierr               = (*(snes)->ops->destroy)(snes);CHKERRQ(ierr);
3743     snes->ops->destroy = NULL;
3744   }
3745   /* Reinitialize function pointers in SNESOps structure */
3746   snes->ops->setup          = 0;
3747   snes->ops->solve          = 0;
3748   snes->ops->view           = 0;
3749   snes->ops->setfromoptions = 0;
3750   snes->ops->destroy        = 0;
3751   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
3752   snes->setupcalled = PETSC_FALSE;
3753 
3754   ierr = PetscObjectChangeTypeName((PetscObject)snes,type);CHKERRQ(ierr);
3755   ierr = (*r)(snes);CHKERRQ(ierr);
3756 #if defined(PETSC_HAVE_AMS)
3757   if (PetscAMSPublishAll) {
3758     ierr = PetscObjectAMSPublish((PetscObject)snes);CHKERRQ(ierr);
3759   }
3760 #endif
3761   PetscFunctionReturn(0);
3762 }
3763 
3764 /* --------------------------------------------------------------------- */
3765 #undef __FUNCT__
3766 #define __FUNCT__ "SNESRegisterDestroy"
3767 /*@
3768    SNESRegisterDestroy - Frees the list of nonlinear solvers that were
3769    registered by SNESRegisterDynamic().
3770 
3771    Not Collective
3772 
3773    Level: advanced
3774 
3775 .keywords: SNES, nonlinear, register, destroy
3776 
3777 .seealso: SNESRegisterAll()
3778 @*/
3779 PetscErrorCode  SNESRegisterDestroy(void)
3780 {
3781   PetscErrorCode ierr;
3782 
3783   PetscFunctionBegin;
3784   ierr = PetscFunctionListDestroy(&SNESList);CHKERRQ(ierr);
3785 
3786   SNESRegisterAllCalled = PETSC_FALSE;
3787   PetscFunctionReturn(0);
3788 }
3789 
3790 #undef __FUNCT__
3791 #define __FUNCT__ "SNESGetType"
3792 /*@C
3793    SNESGetType - Gets the SNES method type and name (as a string).
3794 
3795    Not Collective
3796 
3797    Input Parameter:
3798 .  snes - nonlinear solver context
3799 
3800    Output Parameter:
3801 .  type - SNES method (a character string)
3802 
3803    Level: intermediate
3804 
3805 .keywords: SNES, nonlinear, get, type, name
3806 @*/
3807 PetscErrorCode  SNESGetType(SNES snes,SNESType *type)
3808 {
3809   PetscFunctionBegin;
3810   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3811   PetscValidPointer(type,2);
3812   *type = ((PetscObject)snes)->type_name;
3813   PetscFunctionReturn(0);
3814 }
3815 
3816 #undef __FUNCT__
3817 #define __FUNCT__ "SNESGetSolution"
3818 /*@
3819    SNESGetSolution - Returns the vector where the approximate solution is
3820    stored. This is the fine grid solution when using SNESSetGridSequence().
3821 
3822    Not Collective, but Vec is parallel if SNES is parallel
3823 
3824    Input Parameter:
3825 .  snes - the SNES context
3826 
3827    Output Parameter:
3828 .  x - the solution
3829 
3830    Level: intermediate
3831 
3832 .keywords: SNES, nonlinear, get, solution
3833 
3834 .seealso:  SNESGetSolutionUpdate(), SNESGetFunction()
3835 @*/
3836 PetscErrorCode  SNESGetSolution(SNES snes,Vec *x)
3837 {
3838   PetscFunctionBegin;
3839   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3840   PetscValidPointer(x,2);
3841   *x = snes->vec_sol;
3842   PetscFunctionReturn(0);
3843 }
3844 
3845 #undef __FUNCT__
3846 #define __FUNCT__ "SNESGetSolutionUpdate"
3847 /*@
3848    SNESGetSolutionUpdate - Returns the vector where the solution update is
3849    stored.
3850 
3851    Not Collective, but Vec is parallel if SNES is parallel
3852 
3853    Input Parameter:
3854 .  snes - the SNES context
3855 
3856    Output Parameter:
3857 .  x - the solution update
3858 
3859    Level: advanced
3860 
3861 .keywords: SNES, nonlinear, get, solution, update
3862 
3863 .seealso: SNESGetSolution(), SNESGetFunction()
3864 @*/
3865 PetscErrorCode  SNESGetSolutionUpdate(SNES snes,Vec *x)
3866 {
3867   PetscFunctionBegin;
3868   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3869   PetscValidPointer(x,2);
3870   *x = snes->vec_sol_update;
3871   PetscFunctionReturn(0);
3872 }
3873 
3874 #undef __FUNCT__
3875 #define __FUNCT__ "SNESGetFunction"
3876 /*@C
3877    SNESGetFunction - Returns the vector where the function is stored.
3878 
3879    Not Collective, but Vec is parallel if SNES is parallel. Collective if Vec is requested, but has not been created yet.
3880 
3881    Input Parameter:
3882 .  snes - the SNES context
3883 
3884    Output Parameter:
3885 +  r - the vector that is used to store residuals (or NULL if you don't want it)
3886 .  SNESFunction- the function (or NULL if you don't want it)
3887 -  ctx - the function context (or NULL if you don't want it)
3888 
3889    Level: advanced
3890 
3891 .keywords: SNES, nonlinear, get, function
3892 
3893 .seealso: SNESSetFunction(), SNESGetSolution(), SNESFunction
3894 @*/
3895 PetscErrorCode  SNESGetFunction(SNES snes,Vec *r,PetscErrorCode (**SNESFunction)(SNES,Vec,Vec,void*),void **ctx)
3896 {
3897   PetscErrorCode ierr;
3898   DM             dm;
3899 
3900   PetscFunctionBegin;
3901   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3902   if (r) {
3903     if (!snes->vec_func) {
3904       if (snes->vec_rhs) {
3905         ierr = VecDuplicate(snes->vec_rhs,&snes->vec_func);CHKERRQ(ierr);
3906       } else if (snes->vec_sol) {
3907         ierr = VecDuplicate(snes->vec_sol,&snes->vec_func);CHKERRQ(ierr);
3908       } else if (snes->dm) {
3909         ierr = DMCreateGlobalVector(snes->dm,&snes->vec_func);CHKERRQ(ierr);
3910       }
3911     }
3912     *r = snes->vec_func;
3913   }
3914   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
3915   ierr = DMSNESGetFunction(dm,SNESFunction,ctx);CHKERRQ(ierr);
3916   PetscFunctionReturn(0);
3917 }
3918 
3919 /*@C
3920    SNESGetGS - Returns the GS function and context.
3921 
3922    Input Parameter:
3923 .  snes - the SNES context
3924 
3925    Output Parameter:
3926 +  SNESGSFunction - the function (or NULL)
3927 -  ctx    - the function context (or NULL)
3928 
3929    Level: advanced
3930 
3931 .keywords: SNES, nonlinear, get, function
3932 
3933 .seealso: SNESSetGS(), SNESGetFunction()
3934 @*/
3935 
3936 #undef __FUNCT__
3937 #define __FUNCT__ "SNESGetGS"
3938 PetscErrorCode SNESGetGS (SNES snes, PetscErrorCode (**SNESGSFunction)(SNES, Vec, Vec, void*), void ** ctx)
3939 {
3940   PetscErrorCode ierr;
3941   DM             dm;
3942 
3943   PetscFunctionBegin;
3944   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3945   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
3946   ierr = DMSNESGetGS(dm,SNESGSFunction,ctx);CHKERRQ(ierr);
3947   PetscFunctionReturn(0);
3948 }
3949 
3950 #undef __FUNCT__
3951 #define __FUNCT__ "SNESSetOptionsPrefix"
3952 /*@C
3953    SNESSetOptionsPrefix - Sets the prefix used for searching for all
3954    SNES options in the database.
3955 
3956    Logically Collective on SNES
3957 
3958    Input Parameter:
3959 +  snes - the SNES context
3960 -  prefix - the prefix to prepend to all option names
3961 
3962    Notes:
3963    A hyphen (-) must NOT be given at the beginning of the prefix name.
3964    The first character of all runtime options is AUTOMATICALLY the hyphen.
3965 
3966    Level: advanced
3967 
3968 .keywords: SNES, set, options, prefix, database
3969 
3970 .seealso: SNESSetFromOptions()
3971 @*/
3972 PetscErrorCode  SNESSetOptionsPrefix(SNES snes,const char prefix[])
3973 {
3974   PetscErrorCode ierr;
3975 
3976   PetscFunctionBegin;
3977   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3978   ierr = PetscObjectSetOptionsPrefix((PetscObject)snes,prefix);CHKERRQ(ierr);
3979   if (!snes->ksp) {ierr = SNESGetKSP(snes,&snes->ksp);CHKERRQ(ierr);}
3980   if (snes->linesearch) {
3981     ierr = SNESGetSNESLineSearch(snes,&snes->linesearch);CHKERRQ(ierr);
3982     ierr = PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch,prefix);CHKERRQ(ierr);
3983   }
3984   ierr = KSPSetOptionsPrefix(snes->ksp,prefix);CHKERRQ(ierr);
3985   PetscFunctionReturn(0);
3986 }
3987 
3988 #undef __FUNCT__
3989 #define __FUNCT__ "SNESAppendOptionsPrefix"
3990 /*@C
3991    SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
3992    SNES options in the database.
3993 
3994    Logically Collective on SNES
3995 
3996    Input Parameters:
3997 +  snes - the SNES context
3998 -  prefix - the prefix to prepend to all option names
3999 
4000    Notes:
4001    A hyphen (-) must NOT be given at the beginning of the prefix name.
4002    The first character of all runtime options is AUTOMATICALLY the hyphen.
4003 
4004    Level: advanced
4005 
4006 .keywords: SNES, append, options, prefix, database
4007 
4008 .seealso: SNESGetOptionsPrefix()
4009 @*/
4010 PetscErrorCode  SNESAppendOptionsPrefix(SNES snes,const char prefix[])
4011 {
4012   PetscErrorCode ierr;
4013 
4014   PetscFunctionBegin;
4015   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4016   ierr = PetscObjectAppendOptionsPrefix((PetscObject)snes,prefix);CHKERRQ(ierr);
4017   if (!snes->ksp) {ierr = SNESGetKSP(snes,&snes->ksp);CHKERRQ(ierr);}
4018   if (snes->linesearch) {
4019     ierr = SNESGetSNESLineSearch(snes,&snes->linesearch);CHKERRQ(ierr);
4020     ierr = PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch,prefix);CHKERRQ(ierr);
4021   }
4022   ierr = KSPAppendOptionsPrefix(snes->ksp,prefix);CHKERRQ(ierr);
4023   PetscFunctionReturn(0);
4024 }
4025 
4026 #undef __FUNCT__
4027 #define __FUNCT__ "SNESGetOptionsPrefix"
4028 /*@C
4029    SNESGetOptionsPrefix - Sets the prefix used for searching for all
4030    SNES options in the database.
4031 
4032    Not Collective
4033 
4034    Input Parameter:
4035 .  snes - the SNES context
4036 
4037    Output Parameter:
4038 .  prefix - pointer to the prefix string used
4039 
4040    Notes: On the fortran side, the user should pass in a string 'prefix' of
4041    sufficient length to hold the prefix.
4042 
4043    Level: advanced
4044 
4045 .keywords: SNES, get, options, prefix, database
4046 
4047 .seealso: SNESAppendOptionsPrefix()
4048 @*/
4049 PetscErrorCode  SNESGetOptionsPrefix(SNES snes,const char *prefix[])
4050 {
4051   PetscErrorCode ierr;
4052 
4053   PetscFunctionBegin;
4054   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4055   ierr = PetscObjectGetOptionsPrefix((PetscObject)snes,prefix);CHKERRQ(ierr);
4056   PetscFunctionReturn(0);
4057 }
4058 
4059 
4060 #undef __FUNCT__
4061 #define __FUNCT__ "SNESRegister"
4062 /*@C
4063   SNESRegister - See SNESRegisterDynamic()
4064 
4065   Level: advanced
4066 @*/
4067 PetscErrorCode  SNESRegister(const char sname[],const char path[],const char name[],PetscErrorCode (*function)(SNES))
4068 {
4069   char           fullname[PETSC_MAX_PATH_LEN];
4070   PetscErrorCode ierr;
4071 
4072   PetscFunctionBegin;
4073   ierr = PetscFunctionListConcat(path,name,fullname);CHKERRQ(ierr);
4074   ierr = PetscFunctionListAdd(PETSC_COMM_WORLD,&SNESList,sname,fullname,(void (*)(void))function);CHKERRQ(ierr);
4075   PetscFunctionReturn(0);
4076 }
4077 
4078 #undef __FUNCT__
4079 #define __FUNCT__ "SNESTestLocalMin"
4080 PetscErrorCode  SNESTestLocalMin(SNES snes)
4081 {
4082   PetscErrorCode ierr;
4083   PetscInt       N,i,j;
4084   Vec            u,uh,fh;
4085   PetscScalar    value;
4086   PetscReal      norm;
4087 
4088   PetscFunctionBegin;
4089   ierr = SNESGetSolution(snes,&u);CHKERRQ(ierr);
4090   ierr = VecDuplicate(u,&uh);CHKERRQ(ierr);
4091   ierr = VecDuplicate(u,&fh);CHKERRQ(ierr);
4092 
4093   /* currently only works for sequential */
4094   ierr = PetscPrintf(PETSC_COMM_WORLD,"Testing FormFunction() for local min\n");CHKERRQ(ierr);
4095   ierr = VecGetSize(u,&N);CHKERRQ(ierr);
4096   for (i=0; i<N; i++) {
4097     ierr = VecCopy(u,uh);CHKERRQ(ierr);
4098     ierr = PetscPrintf(PETSC_COMM_WORLD,"i = %D\n",i);CHKERRQ(ierr);
4099     for (j=-10; j<11; j++) {
4100       value = PetscSign(j)*exp(PetscAbs(j)-10.0);
4101       ierr  = VecSetValue(uh,i,value,ADD_VALUES);CHKERRQ(ierr);
4102       ierr  = SNESComputeFunction(snes,uh,fh);CHKERRQ(ierr);
4103       ierr  = VecNorm(fh,NORM_2,&norm);CHKERRQ(ierr);
4104       ierr  = PetscPrintf(PETSC_COMM_WORLD,"       j norm %D %18.16e\n",j,norm);CHKERRQ(ierr);
4105       value = -value;
4106       ierr  = VecSetValue(uh,i,value,ADD_VALUES);CHKERRQ(ierr);
4107     }
4108   }
4109   ierr = VecDestroy(&uh);CHKERRQ(ierr);
4110   ierr = VecDestroy(&fh);CHKERRQ(ierr);
4111   PetscFunctionReturn(0);
4112 }
4113 
4114 #undef __FUNCT__
4115 #define __FUNCT__ "SNESKSPSetUseEW"
4116 /*@
4117    SNESKSPSetUseEW - Sets SNES use Eisenstat-Walker method for
4118    computing relative tolerance for linear solvers within an inexact
4119    Newton method.
4120 
4121    Logically Collective on SNES
4122 
4123    Input Parameters:
4124 +  snes - SNES context
4125 -  flag - PETSC_TRUE or PETSC_FALSE
4126 
4127     Options Database:
4128 +  -snes_ksp_ew - use Eisenstat-Walker method for determining linear system convergence
4129 .  -snes_ksp_ew_version ver - version of  Eisenstat-Walker method
4130 .  -snes_ksp_ew_rtol0 <rtol0> - Sets rtol0
4131 .  -snes_ksp_ew_rtolmax <rtolmax> - Sets rtolmax
4132 .  -snes_ksp_ew_gamma <gamma> - Sets gamma
4133 .  -snes_ksp_ew_alpha <alpha> - Sets alpha
4134 .  -snes_ksp_ew_alpha2 <alpha2> - Sets alpha2
4135 -  -snes_ksp_ew_threshold <threshold> - Sets threshold
4136 
4137    Notes:
4138    Currently, the default is to use a constant relative tolerance for
4139    the inner linear solvers.  Alternatively, one can use the
4140    Eisenstat-Walker method, where the relative convergence tolerance
4141    is reset at each Newton iteration according progress of the nonlinear
4142    solver.
4143 
4144    Level: advanced
4145 
4146    Reference:
4147    S. C. Eisenstat and H. F. Walker, "Choosing the forcing terms in an
4148    inexact Newton method", SISC 17 (1), pp.16-32, 1996.
4149 
4150 .keywords: SNES, KSP, Eisenstat, Walker, convergence, test, inexact, Newton
4151 
4152 .seealso: SNESKSPGetUseEW(), SNESKSPGetParametersEW(), SNESKSPSetParametersEW()
4153 @*/
4154 PetscErrorCode  SNESKSPSetUseEW(SNES snes,PetscBool flag)
4155 {
4156   PetscFunctionBegin;
4157   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4158   PetscValidLogicalCollectiveBool(snes,flag,2);
4159   snes->ksp_ewconv = flag;
4160   PetscFunctionReturn(0);
4161 }
4162 
4163 #undef __FUNCT__
4164 #define __FUNCT__ "SNESKSPGetUseEW"
4165 /*@
4166    SNESKSPGetUseEW - Gets if SNES is using Eisenstat-Walker method
4167    for computing relative tolerance for linear solvers within an
4168    inexact Newton method.
4169 
4170    Not Collective
4171 
4172    Input Parameter:
4173 .  snes - SNES context
4174 
4175    Output Parameter:
4176 .  flag - PETSC_TRUE or PETSC_FALSE
4177 
4178    Notes:
4179    Currently, the default is to use a constant relative tolerance for
4180    the inner linear solvers.  Alternatively, one can use the
4181    Eisenstat-Walker method, where the relative convergence tolerance
4182    is reset at each Newton iteration according progress of the nonlinear
4183    solver.
4184 
4185    Level: advanced
4186 
4187    Reference:
4188    S. C. Eisenstat and H. F. Walker, "Choosing the forcing terms in an
4189    inexact Newton method", SISC 17 (1), pp.16-32, 1996.
4190 
4191 .keywords: SNES, KSP, Eisenstat, Walker, convergence, test, inexact, Newton
4192 
4193 .seealso: SNESKSPSetUseEW(), SNESKSPGetParametersEW(), SNESKSPSetParametersEW()
4194 @*/
4195 PetscErrorCode  SNESKSPGetUseEW(SNES snes, PetscBool  *flag)
4196 {
4197   PetscFunctionBegin;
4198   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4199   PetscValidPointer(flag,2);
4200   *flag = snes->ksp_ewconv;
4201   PetscFunctionReturn(0);
4202 }
4203 
4204 #undef __FUNCT__
4205 #define __FUNCT__ "SNESKSPSetParametersEW"
4206 /*@
4207    SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
4208    convergence criteria for the linear solvers within an inexact
4209    Newton method.
4210 
4211    Logically Collective on SNES
4212 
4213    Input Parameters:
4214 +    snes - SNES context
4215 .    version - version 1, 2 (default is 2) or 3
4216 .    rtol_0 - initial relative tolerance (0 <= rtol_0 < 1)
4217 .    rtol_max - maximum relative tolerance (0 <= rtol_max < 1)
4218 .    gamma - multiplicative factor for version 2 rtol computation
4219              (0 <= gamma2 <= 1)
4220 .    alpha - power for version 2 rtol computation (1 < alpha <= 2)
4221 .    alpha2 - power for safeguard
4222 -    threshold - threshold for imposing safeguard (0 < threshold < 1)
4223 
4224    Note:
4225    Version 3 was contributed by Luis Chacon, June 2006.
4226 
4227    Use PETSC_DEFAULT to retain the default for any of the parameters.
4228 
4229    Level: advanced
4230 
4231    Reference:
4232    S. C. Eisenstat and H. F. Walker, "Choosing the forcing terms in an
4233    inexact Newton method", Utah State University Math. Stat. Dept. Res.
4234    Report 6/94/75, June, 1994, to appear in SIAM J. Sci. Comput.
4235 
4236 .keywords: SNES, KSP, Eisenstat, Walker, set, parameters
4237 
4238 .seealso: SNESKSPSetUseEW(), SNESKSPGetUseEW(), SNESKSPGetParametersEW()
4239 @*/
4240 PetscErrorCode  SNESKSPSetParametersEW(SNES snes,PetscInt version,PetscReal rtol_0,PetscReal rtol_max,PetscReal gamma,PetscReal alpha,PetscReal alpha2,PetscReal threshold)
4241 {
4242   SNESKSPEW *kctx;
4243 
4244   PetscFunctionBegin;
4245   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4246   kctx = (SNESKSPEW*)snes->kspconvctx;
4247   if (!kctx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"No Eisenstat-Walker context existing");
4248   PetscValidLogicalCollectiveInt(snes,version,2);
4249   PetscValidLogicalCollectiveReal(snes,rtol_0,3);
4250   PetscValidLogicalCollectiveReal(snes,rtol_max,4);
4251   PetscValidLogicalCollectiveReal(snes,gamma,5);
4252   PetscValidLogicalCollectiveReal(snes,alpha,6);
4253   PetscValidLogicalCollectiveReal(snes,alpha2,7);
4254   PetscValidLogicalCollectiveReal(snes,threshold,8);
4255 
4256   if (version != PETSC_DEFAULT)   kctx->version   = version;
4257   if (rtol_0 != PETSC_DEFAULT)    kctx->rtol_0    = rtol_0;
4258   if (rtol_max != PETSC_DEFAULT)  kctx->rtol_max  = rtol_max;
4259   if (gamma != PETSC_DEFAULT)     kctx->gamma     = gamma;
4260   if (alpha != PETSC_DEFAULT)     kctx->alpha     = alpha;
4261   if (alpha2 != PETSC_DEFAULT)    kctx->alpha2    = alpha2;
4262   if (threshold != PETSC_DEFAULT) kctx->threshold = threshold;
4263 
4264   if (kctx->version < 1 || kctx->version > 3) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Only versions 1, 2 and 3 are supported: %D",kctx->version);
4265   if (kctx->rtol_0 < 0.0 || kctx->rtol_0 >= 1.0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"0.0 <= rtol_0 < 1.0: %G",kctx->rtol_0);
4266   if (kctx->rtol_max < 0.0 || kctx->rtol_max >= 1.0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"0.0 <= rtol_max (%G) < 1.0\n",kctx->rtol_max);
4267   if (kctx->gamma < 0.0 || kctx->gamma > 1.0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"0.0 <= gamma (%G) <= 1.0\n",kctx->gamma);
4268   if (kctx->alpha <= 1.0 || kctx->alpha > 2.0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"1.0 < alpha (%G) <= 2.0\n",kctx->alpha);
4269   if (kctx->threshold <= 0.0 || kctx->threshold >= 1.0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"0.0 < threshold (%G) < 1.0\n",kctx->threshold);
4270   PetscFunctionReturn(0);
4271 }
4272 
4273 #undef __FUNCT__
4274 #define __FUNCT__ "SNESKSPGetParametersEW"
4275 /*@
4276    SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
4277    convergence criteria for the linear solvers within an inexact
4278    Newton method.
4279 
4280    Not Collective
4281 
4282    Input Parameters:
4283      snes - SNES context
4284 
4285    Output Parameters:
4286 +    version - version 1, 2 (default is 2) or 3
4287 .    rtol_0 - initial relative tolerance (0 <= rtol_0 < 1)
4288 .    rtol_max - maximum relative tolerance (0 <= rtol_max < 1)
4289 .    gamma - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
4290 .    alpha - power for version 2 rtol computation (1 < alpha <= 2)
4291 .    alpha2 - power for safeguard
4292 -    threshold - threshold for imposing safeguard (0 < threshold < 1)
4293 
4294    Level: advanced
4295 
4296 .keywords: SNES, KSP, Eisenstat, Walker, get, parameters
4297 
4298 .seealso: SNESKSPSetUseEW(), SNESKSPGetUseEW(), SNESKSPSetParametersEW()
4299 @*/
4300 PetscErrorCode  SNESKSPGetParametersEW(SNES snes,PetscInt *version,PetscReal *rtol_0,PetscReal *rtol_max,PetscReal *gamma,PetscReal *alpha,PetscReal *alpha2,PetscReal *threshold)
4301 {
4302   SNESKSPEW *kctx;
4303 
4304   PetscFunctionBegin;
4305   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4306   kctx = (SNESKSPEW*)snes->kspconvctx;
4307   if (!kctx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"No Eisenstat-Walker context existing");
4308   if (version)   *version   = kctx->version;
4309   if (rtol_0)    *rtol_0    = kctx->rtol_0;
4310   if (rtol_max)  *rtol_max  = kctx->rtol_max;
4311   if (gamma)     *gamma     = kctx->gamma;
4312   if (alpha)     *alpha     = kctx->alpha;
4313   if (alpha2)    *alpha2    = kctx->alpha2;
4314   if (threshold) *threshold = kctx->threshold;
4315   PetscFunctionReturn(0);
4316 }
4317 
4318 #undef __FUNCT__
4319 #define __FUNCT__ "SNESKSPEW_PreSolve"
4320 static PetscErrorCode SNESKSPEW_PreSolve(SNES snes, KSP ksp, Vec b, Vec x)
4321 {
4322   PetscErrorCode ierr;
4323   SNESKSPEW      *kctx = (SNESKSPEW*)snes->kspconvctx;
4324   PetscReal      rtol  = PETSC_DEFAULT,stol;
4325 
4326   PetscFunctionBegin;
4327   if (!kctx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"No Eisenstat-Walker context exists");
4328   if (!snes->iter) rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
4329   else {
4330     if (kctx->version == 1) {
4331       rtol = (snes->norm - kctx->lresid_last)/kctx->norm_last;
4332       if (rtol < 0.0) rtol = -rtol;
4333       stol = PetscPowReal(kctx->rtol_last,kctx->alpha2);
4334       if (stol > kctx->threshold) rtol = PetscMax(rtol,stol);
4335     } else if (kctx->version == 2) {
4336       rtol = kctx->gamma * PetscPowReal(snes->norm/kctx->norm_last,kctx->alpha);
4337       stol = kctx->gamma * PetscPowReal(kctx->rtol_last,kctx->alpha);
4338       if (stol > kctx->threshold) rtol = PetscMax(rtol,stol);
4339     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
4340       rtol = kctx->gamma * PetscPowReal(snes->norm/kctx->norm_last,kctx->alpha);
4341       /* safeguard: avoid sharp decrease of rtol */
4342       stol = kctx->gamma*PetscPowReal(kctx->rtol_last,kctx->alpha);
4343       stol = PetscMax(rtol,stol);
4344       rtol = PetscMin(kctx->rtol_0,stol);
4345       /* safeguard: avoid oversolving */
4346       stol = kctx->gamma*(snes->ttol)/snes->norm;
4347       stol = PetscMax(rtol,stol);
4348       rtol = PetscMin(kctx->rtol_0,stol);
4349     } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Only versions 1, 2 or 3 are supported: %D",kctx->version);
4350   }
4351   /* safeguard: avoid rtol greater than one */
4352   rtol = PetscMin(rtol,kctx->rtol_max);
4353   ierr = KSPSetTolerances(ksp,rtol,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);CHKERRQ(ierr);
4354   ierr = PetscInfo3(snes,"iter %D, Eisenstat-Walker (version %D) KSP rtol=%G\n",snes->iter,kctx->version,rtol);CHKERRQ(ierr);
4355   PetscFunctionReturn(0);
4356 }
4357 
4358 #undef __FUNCT__
4359 #define __FUNCT__ "SNESKSPEW_PostSolve"
4360 static PetscErrorCode SNESKSPEW_PostSolve(SNES snes, KSP ksp, Vec b, Vec x)
4361 {
4362   PetscErrorCode ierr;
4363   SNESKSPEW      *kctx = (SNESKSPEW*)snes->kspconvctx;
4364   PCSide         pcside;
4365   Vec            lres;
4366 
4367   PetscFunctionBegin;
4368   if (!kctx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"No Eisenstat-Walker context exists");
4369   ierr = KSPGetTolerances(ksp,&kctx->rtol_last,0,0,0);CHKERRQ(ierr);
4370   ierr = SNESGetFunctionNorm(snes,&kctx->norm_last);CHKERRQ(ierr);
4371   if (kctx->version == 1) {
4372     ierr = KSPGetPCSide(ksp,&pcside);CHKERRQ(ierr);
4373     if (pcside == PC_RIGHT) { /* XXX Should we also test KSP_UNPRECONDITIONED_NORM ? */
4374       /* KSP residual is true linear residual */
4375       ierr = KSPGetResidualNorm(ksp,&kctx->lresid_last);CHKERRQ(ierr);
4376     } else {
4377       /* KSP residual is preconditioned residual */
4378       /* compute true linear residual norm */
4379       ierr = VecDuplicate(b,&lres);CHKERRQ(ierr);
4380       ierr = MatMult(snes->jacobian,x,lres);CHKERRQ(ierr);
4381       ierr = VecAYPX(lres,-1.0,b);CHKERRQ(ierr);
4382       ierr = VecNorm(lres,NORM_2,&kctx->lresid_last);CHKERRQ(ierr);
4383       ierr = VecDestroy(&lres);CHKERRQ(ierr);
4384     }
4385   }
4386   PetscFunctionReturn(0);
4387 }
4388 
4389 #undef __FUNCT__
4390 #define __FUNCT__ "SNES_KSPSolve"
4391 PetscErrorCode SNES_KSPSolve(SNES snes, KSP ksp, Vec b, Vec x)
4392 {
4393   PetscErrorCode ierr;
4394 
4395   PetscFunctionBegin;
4396   if (snes->ksp_ewconv) { ierr = SNESKSPEW_PreSolve(snes,ksp,b,x);CHKERRQ(ierr);  }
4397   ierr = KSPSolve(ksp,b,x);CHKERRQ(ierr);
4398   if (snes->ksp_ewconv) { ierr = SNESKSPEW_PostSolve(snes,ksp,b,x);CHKERRQ(ierr); }
4399   PetscFunctionReturn(0);
4400 }
4401 
4402 #include <petsc-private/dmimpl.h>
4403 #undef __FUNCT__
4404 #define __FUNCT__ "SNESSetDM"
4405 /*@
4406    SNESSetDM - Sets the DM that may be used by some preconditioners
4407 
4408    Logically Collective on SNES
4409 
4410    Input Parameters:
4411 +  snes - the preconditioner context
4412 -  dm - the dm
4413 
4414    Level: intermediate
4415 
4416 .seealso: SNESGetDM(), KSPSetDM(), KSPGetDM()
4417 @*/
4418 PetscErrorCode  SNESSetDM(SNES snes,DM dm)
4419 {
4420   PetscErrorCode ierr;
4421   KSP            ksp;
4422   DMSNES         sdm;
4423 
4424   PetscFunctionBegin;
4425   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4426   if (dm) {ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);}
4427   if (snes->dm) {               /* Move the DMSNES context over to the new DM unless the new DM already has one */
4428     if (snes->dm->dmsnes && snes->dmAuto && !dm->dmsnes) {
4429       ierr = DMCopyDMSNES(snes->dm,dm);CHKERRQ(ierr);
4430       ierr = DMGetDMSNES(snes->dm,&sdm);CHKERRQ(ierr);
4431       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
4432     }
4433     ierr = DMDestroy(&snes->dm);CHKERRQ(ierr);
4434   }
4435   snes->dm     = dm;
4436   snes->dmAuto = PETSC_FALSE;
4437 
4438   ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
4439   ierr = KSPSetDM(ksp,dm);CHKERRQ(ierr);
4440   ierr = KSPSetDMActive(ksp,PETSC_FALSE);CHKERRQ(ierr);
4441   if (snes->pc) {
4442     ierr = SNESSetDM(snes->pc, snes->dm);CHKERRQ(ierr);
4443     ierr = SNESSetPCSide(snes,snes->pcside);CHKERRQ(ierr);
4444   }
4445   PetscFunctionReturn(0);
4446 }
4447 
4448 #undef __FUNCT__
4449 #define __FUNCT__ "SNESGetDM"
4450 /*@
4451    SNESGetDM - Gets the DM that may be used by some preconditioners
4452 
4453    Not Collective but DM obtained is parallel on SNES
4454 
4455    Input Parameter:
4456 . snes - the preconditioner context
4457 
4458    Output Parameter:
4459 .  dm - the dm
4460 
4461    Level: intermediate
4462 
4463 .seealso: SNESSetDM(), KSPSetDM(), KSPGetDM()
4464 @*/
4465 PetscErrorCode  SNESGetDM(SNES snes,DM *dm)
4466 {
4467   PetscErrorCode ierr;
4468 
4469   PetscFunctionBegin;
4470   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4471   if (!snes->dm) {
4472     ierr         = DMShellCreate(PetscObjectComm((PetscObject)snes),&snes->dm);CHKERRQ(ierr);
4473     snes->dmAuto = PETSC_TRUE;
4474   }
4475   *dm = snes->dm;
4476   PetscFunctionReturn(0);
4477 }
4478 
4479 #undef __FUNCT__
4480 #define __FUNCT__ "SNESSetPC"
4481 /*@
4482   SNESSetPC - Sets the nonlinear preconditioner to be used.
4483 
4484   Collective on SNES
4485 
4486   Input Parameters:
4487 + snes - iterative context obtained from SNESCreate()
4488 - pc   - the preconditioner object
4489 
4490   Notes:
4491   Use SNESGetPC() to retrieve the preconditioner context (for example,
4492   to configure it using the API).
4493 
4494   Level: developer
4495 
4496 .keywords: SNES, set, precondition
4497 .seealso: SNESGetPC()
4498 @*/
4499 PetscErrorCode SNESSetPC(SNES snes, SNES pc)
4500 {
4501   PetscErrorCode ierr;
4502 
4503   PetscFunctionBegin;
4504   PetscValidHeaderSpecific(snes, SNES_CLASSID, 1);
4505   PetscValidHeaderSpecific(pc, SNES_CLASSID, 2);
4506   PetscCheckSameComm(snes, 1, pc, 2);
4507   ierr     = PetscObjectReference((PetscObject) pc);CHKERRQ(ierr);
4508   ierr     = SNESDestroy(&snes->pc);CHKERRQ(ierr);
4509   snes->pc = pc;
4510   ierr     = PetscLogObjectParent(snes, snes->pc);CHKERRQ(ierr);
4511   PetscFunctionReturn(0);
4512 }
4513 
4514 #undef __FUNCT__
4515 #define __FUNCT__ "SNESGetPC"
4516 /*@
4517   SNESGetPC - Returns a pointer to the nonlinear preconditioning context set with SNESSetPC().
4518 
4519   Not Collective
4520 
4521   Input Parameter:
4522 . snes - iterative context obtained from SNESCreate()
4523 
4524   Output Parameter:
4525 . pc - preconditioner context
4526 
4527   Level: developer
4528 
4529 .keywords: SNES, get, preconditioner
4530 .seealso: SNESSetPC()
4531 @*/
4532 PetscErrorCode SNESGetPC(SNES snes, SNES *pc)
4533 {
4534   PetscErrorCode ierr;
4535   const char     *optionsprefix;
4536 
4537   PetscFunctionBegin;
4538   PetscValidHeaderSpecific(snes, SNES_CLASSID, 1);
4539   PetscValidPointer(pc, 2);
4540   if (!snes->pc) {
4541     ierr = SNESCreate(PetscObjectComm((PetscObject)snes),&snes->pc);CHKERRQ(ierr);
4542     ierr = PetscObjectIncrementTabLevel((PetscObject)snes->pc,(PetscObject)snes,1);CHKERRQ(ierr);
4543     ierr = PetscLogObjectParent(snes,snes->pc);CHKERRQ(ierr);
4544     ierr = SNESGetOptionsPrefix(snes,&optionsprefix);CHKERRQ(ierr);
4545     ierr = SNESSetOptionsPrefix(snes->pc,optionsprefix);CHKERRQ(ierr);
4546     ierr = SNESAppendOptionsPrefix(snes->pc,"npc_");CHKERRQ(ierr);
4547   }
4548   *pc = snes->pc;
4549   PetscFunctionReturn(0);
4550 }
4551 
4552 #undef __FUNCT__
4553 #define __FUNCT__ "SNESSetPCSide"
4554 /*@
4555     SNESSetPCSide - Sets the preconditioning side.
4556 
4557     Logically Collective on SNES
4558 
4559     Input Parameter:
4560 .   snes - iterative context obtained from SNESCreate()
4561 
4562     Output Parameter:
4563 .   side - the preconditioning side, where side is one of
4564 .vb
4565       PC_LEFT - left preconditioning (default)
4566       PC_RIGHT - right preconditioning
4567 .ve
4568 
4569     Options Database Keys:
4570 .   -snes_pc_side <right,left>
4571 
4572     Level: intermediate
4573 
4574 .keywords: SNES, set, right, left, side, preconditioner, flag
4575 
4576 .seealso: SNESGetPCSide(), KSPSetPCSide()
4577 @*/
4578 PetscErrorCode  SNESSetPCSide(SNES snes,PCSide side)
4579 {
4580   PetscFunctionBegin;
4581   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4582   PetscValidLogicalCollectiveEnum(snes,side,2);
4583   snes->pcside = side;
4584   PetscFunctionReturn(0);
4585 }
4586 
4587 #undef __FUNCT__
4588 #define __FUNCT__ "SNESGetPCSide"
4589 /*@
4590     SNESGetPCSide - Gets the preconditioning side.
4591 
4592     Not Collective
4593 
4594     Input Parameter:
4595 .   snes - iterative context obtained from SNESCreate()
4596 
4597     Output Parameter:
4598 .   side - the preconditioning side, where side is one of
4599 .vb
4600       PC_LEFT - left preconditioning (default)
4601       PC_RIGHT - right preconditioning
4602 .ve
4603 
4604     Level: intermediate
4605 
4606 .keywords: SNES, get, right, left, side, preconditioner, flag
4607 
4608 .seealso: SNESSetPCSide(), KSPGetPCSide()
4609 @*/
4610 PetscErrorCode  SNESGetPCSide(SNES snes,PCSide *side)
4611 {
4612   PetscFunctionBegin;
4613   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4614   PetscValidPointer(side,2);
4615   *side = snes->pcside;
4616   PetscFunctionReturn(0);
4617 }
4618 
4619 #undef __FUNCT__
4620 #define __FUNCT__ "SNESSetSNESLineSearch"
4621 /*@
4622   SNESSetSNESLineSearch - Sets the linesearch on the SNES instance.
4623 
4624   Collective on SNES
4625 
4626   Input Parameters:
4627 + snes - iterative context obtained from SNESCreate()
4628 - linesearch   - the linesearch object
4629 
4630   Notes:
4631   Use SNESGetSNESLineSearch() to retrieve the preconditioner context (for example,
4632   to configure it using the API).
4633 
4634   Level: developer
4635 
4636 .keywords: SNES, set, linesearch
4637 .seealso: SNESGetSNESLineSearch()
4638 @*/
4639 PetscErrorCode SNESSetSNESLineSearch(SNES snes, SNESLineSearch linesearch)
4640 {
4641   PetscErrorCode ierr;
4642 
4643   PetscFunctionBegin;
4644   PetscValidHeaderSpecific(snes, SNES_CLASSID, 1);
4645   PetscValidHeaderSpecific(linesearch, SNESLINESEARCH_CLASSID, 2);
4646   PetscCheckSameComm(snes, 1, linesearch, 2);
4647   ierr = PetscObjectReference((PetscObject) linesearch);CHKERRQ(ierr);
4648   ierr = SNESLineSearchDestroy(&snes->linesearch);CHKERRQ(ierr);
4649 
4650   snes->linesearch = linesearch;
4651 
4652   ierr = PetscLogObjectParent(snes, snes->linesearch);CHKERRQ(ierr);
4653   PetscFunctionReturn(0);
4654 }
4655 
4656 #undef __FUNCT__
4657 #define __FUNCT__ "SNESGetSNESLineSearch"
4658 /*@C
4659   SNESGetSNESLineSearch - Returns a pointer to the line search context set with SNESSetLineSearch()
4660   or creates a default line search instance associated with the SNES and returns it.
4661 
4662   Not Collective
4663 
4664   Input Parameter:
4665 . snes - iterative context obtained from SNESCreate()
4666 
4667   Output Parameter:
4668 . linesearch - linesearch context
4669 
4670   Level: developer
4671 
4672 .keywords: SNES, get, linesearch
4673 .seealso: SNESSetSNESLineSearch()
4674 @*/
4675 PetscErrorCode SNESGetSNESLineSearch(SNES snes, SNESLineSearch *linesearch)
4676 {
4677   PetscErrorCode ierr;
4678   const char     *optionsprefix;
4679 
4680   PetscFunctionBegin;
4681   PetscValidHeaderSpecific(snes, SNES_CLASSID, 1);
4682   PetscValidPointer(linesearch, 2);
4683   if (!snes->linesearch) {
4684     ierr = SNESGetOptionsPrefix(snes, &optionsprefix);CHKERRQ(ierr);
4685     ierr = SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch);CHKERRQ(ierr);
4686     ierr = SNESLineSearchSetSNES(snes->linesearch, snes);CHKERRQ(ierr);
4687     ierr = SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix);CHKERRQ(ierr);
4688     ierr = PetscObjectIncrementTabLevel((PetscObject) snes->linesearch, (PetscObject) snes, 1);CHKERRQ(ierr);
4689     ierr = PetscLogObjectParent(snes, snes->linesearch);CHKERRQ(ierr);
4690   }
4691   *linesearch = snes->linesearch;
4692   PetscFunctionReturn(0);
4693 }
4694 
4695 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4696 #include <mex.h>
4697 
4698 typedef struct {char *funcname; mxArray *ctx;} SNESMatlabContext;
4699 
4700 #undef __FUNCT__
4701 #define __FUNCT__ "SNESComputeFunction_Matlab"
4702 /*
4703    SNESComputeFunction_Matlab - Calls the function that has been set with SNESSetFunctionMatlab().
4704 
4705    Collective on SNES
4706 
4707    Input Parameters:
4708 +  snes - the SNES context
4709 -  x - input vector
4710 
4711    Output Parameter:
4712 .  y - function vector, as set by SNESSetFunction()
4713 
4714    Notes:
4715    SNESComputeFunction() is typically used within nonlinear solvers
4716    implementations, so most users would not generally call this routine
4717    themselves.
4718 
4719    Level: developer
4720 
4721 .keywords: SNES, nonlinear, compute, function
4722 
4723 .seealso: SNESSetFunction(), SNESGetFunction()
4724 */
4725 PetscErrorCode  SNESComputeFunction_Matlab(SNES snes,Vec x,Vec y, void *ctx)
4726 {
4727   PetscErrorCode    ierr;
4728   SNESMatlabContext *sctx = (SNESMatlabContext*)ctx;
4729   int               nlhs  = 1,nrhs = 5;
4730   mxArray           *plhs[1],*prhs[5];
4731   long long int     lx = 0,ly = 0,ls = 0;
4732 
4733   PetscFunctionBegin;
4734   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4735   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
4736   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
4737   PetscCheckSameComm(snes,1,x,2);
4738   PetscCheckSameComm(snes,1,y,3);
4739 
4740   /* call Matlab function in ctx with arguments x and y */
4741 
4742   ierr    = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4743   ierr    = PetscMemcpy(&lx,&x,sizeof(x));CHKERRQ(ierr);
4744   ierr    = PetscMemcpy(&ly,&y,sizeof(x));CHKERRQ(ierr);
4745   prhs[0] = mxCreateDoubleScalar((double)ls);
4746   prhs[1] = mxCreateDoubleScalar((double)lx);
4747   prhs[2] = mxCreateDoubleScalar((double)ly);
4748   prhs[3] = mxCreateString(sctx->funcname);
4749   prhs[4] = sctx->ctx;
4750   ierr    = mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscSNESComputeFunctionInternal");CHKERRQ(ierr);
4751   ierr    = mxGetScalar(plhs[0]);CHKERRQ(ierr);
4752   mxDestroyArray(prhs[0]);
4753   mxDestroyArray(prhs[1]);
4754   mxDestroyArray(prhs[2]);
4755   mxDestroyArray(prhs[3]);
4756   mxDestroyArray(plhs[0]);
4757   PetscFunctionReturn(0);
4758 }
4759 
4760 #undef __FUNCT__
4761 #define __FUNCT__ "SNESSetFunctionMatlab"
4762 /*
4763    SNESSetFunctionMatlab - Sets the function evaluation routine and function
4764    vector for use by the SNES routines in solving systems of nonlinear
4765    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4766 
4767    Logically Collective on SNES
4768 
4769    Input Parameters:
4770 +  snes - the SNES context
4771 .  r - vector to store function value
4772 -  SNESFunction - function evaluation routine
4773 
4774    Notes:
4775    The Newton-like methods typically solve linear systems of the form
4776 $      f'(x) x = -f(x),
4777    where f'(x) denotes the Jacobian matrix and f(x) is the function.
4778 
4779    Level: beginner
4780 
4781 .keywords: SNES, nonlinear, set, function
4782 
4783 .seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESSetFunction()
4784 */
4785 PetscErrorCode  SNESSetFunctionMatlab(SNES snes,Vec r,const char *SNESFunction,mxArray *ctx)
4786 {
4787   PetscErrorCode    ierr;
4788   SNESMatlabContext *sctx;
4789 
4790   PetscFunctionBegin;
4791   /* currently sctx is memory bleed */
4792   ierr = PetscMalloc(sizeof(SNESMatlabContext),&sctx);CHKERRQ(ierr);
4793   ierr = PetscStrallocpy(SNESFunction,&sctx->funcname);CHKERRQ(ierr);
4794   /*
4795      This should work, but it doesn't
4796   sctx->ctx = ctx;
4797   mexMakeArrayPersistent(sctx->ctx);
4798   */
4799   sctx->ctx = mxDuplicateArray(ctx);
4800   ierr      = SNESSetFunction(snes,r,SNESComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4801   PetscFunctionReturn(0);
4802 }
4803 
4804 #undef __FUNCT__
4805 #define __FUNCT__ "SNESComputeJacobian_Matlab"
4806 /*
4807    SNESComputeJacobian_Matlab - Calls the function that has been set with SNESSetJacobianMatlab().
4808 
4809    Collective on SNES
4810 
4811    Input Parameters:
4812 +  snes - the SNES context
4813 .  x - input vector
4814 .  A, B - the matrices
4815 -  ctx - user context
4816 
4817    Output Parameter:
4818 .  flag - structure of the matrix
4819 
4820    Level: developer
4821 
4822 .keywords: SNES, nonlinear, compute, function
4823 
4824 .seealso: SNESSetFunction(), SNESGetFunction()
4825 @*/
4826 PetscErrorCode  SNESComputeJacobian_Matlab(SNES snes,Vec x,Mat *A,Mat *B,MatStructure *flag, void *ctx)
4827 {
4828   PetscErrorCode    ierr;
4829   SNESMatlabContext *sctx = (SNESMatlabContext*)ctx;
4830   int               nlhs  = 2,nrhs = 6;
4831   mxArray           *plhs[2],*prhs[6];
4832   long long int     lx = 0,lA = 0,ls = 0, lB = 0;
4833 
4834   PetscFunctionBegin;
4835   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4836   PetscValidHeaderSpecific(x,VEC_CLASSID,2);
4837 
4838   /* call Matlab function in ctx with arguments x and y */
4839 
4840   ierr    = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4841   ierr    = PetscMemcpy(&lx,&x,sizeof(x));CHKERRQ(ierr);
4842   ierr    = PetscMemcpy(&lA,A,sizeof(x));CHKERRQ(ierr);
4843   ierr    = PetscMemcpy(&lB,B,sizeof(x));CHKERRQ(ierr);
4844   prhs[0] = mxCreateDoubleScalar((double)ls);
4845   prhs[1] = mxCreateDoubleScalar((double)lx);
4846   prhs[2] = mxCreateDoubleScalar((double)lA);
4847   prhs[3] = mxCreateDoubleScalar((double)lB);
4848   prhs[4] = mxCreateString(sctx->funcname);
4849   prhs[5] = sctx->ctx;
4850   ierr    = mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscSNESComputeJacobianInternal");CHKERRQ(ierr);
4851   ierr    = mxGetScalar(plhs[0]);CHKERRQ(ierr);
4852   *flag   = (MatStructure) mxGetScalar(plhs[1]);CHKERRQ(ierr);
4853   mxDestroyArray(prhs[0]);
4854   mxDestroyArray(prhs[1]);
4855   mxDestroyArray(prhs[2]);
4856   mxDestroyArray(prhs[3]);
4857   mxDestroyArray(prhs[4]);
4858   mxDestroyArray(plhs[0]);
4859   mxDestroyArray(plhs[1]);
4860   PetscFunctionReturn(0);
4861 }
4862 
4863 #undef __FUNCT__
4864 #define __FUNCT__ "SNESSetJacobianMatlab"
4865 /*
4866    SNESSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4867    vector for use by the SNES routines in solving systems of nonlinear
4868    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4869 
4870    Logically Collective on SNES
4871 
4872    Input Parameters:
4873 +  snes - the SNES context
4874 .  A,B - Jacobian matrices
4875 .  SNESJacobianFunction - function evaluation routine
4876 -  ctx - user context
4877 
4878    Level: developer
4879 
4880 .keywords: SNES, nonlinear, set, function
4881 
4882 .seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESSetFunction(), SNESJacobianFunction
4883 */
4884 PetscErrorCode  SNESSetJacobianMatlab(SNES snes,Mat A,Mat B,const char *SNESJacobianFunction,mxArray *ctx)
4885 {
4886   PetscErrorCode    ierr;
4887   SNESMatlabContext *sctx;
4888 
4889   PetscFunctionBegin;
4890   /* currently sctx is memory bleed */
4891   ierr = PetscMalloc(sizeof(SNESMatlabContext),&sctx);CHKERRQ(ierr);
4892   ierr = PetscStrallocpy(SNESJacobianFunction,&sctx->funcname);CHKERRQ(ierr);
4893   /*
4894      This should work, but it doesn't
4895   sctx->ctx = ctx;
4896   mexMakeArrayPersistent(sctx->ctx);
4897   */
4898   sctx->ctx = mxDuplicateArray(ctx);
4899   ierr      = SNESSetJacobian(snes,A,B,SNESComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4900   PetscFunctionReturn(0);
4901 }
4902 
4903 #undef __FUNCT__
4904 #define __FUNCT__ "SNESMonitor_Matlab"
4905 /*
4906    SNESMonitor_Matlab - Calls the function that has been set with SNESMonitorSetMatlab().
4907 
4908    Collective on SNES
4909 
4910 .seealso: SNESSetFunction(), SNESGetFunction()
4911 @*/
4912 PetscErrorCode  SNESMonitor_Matlab(SNES snes,PetscInt it, PetscReal fnorm, void *ctx)
4913 {
4914   PetscErrorCode    ierr;
4915   SNESMatlabContext *sctx = (SNESMatlabContext*)ctx;
4916   int               nlhs  = 1,nrhs = 6;
4917   mxArray           *plhs[1],*prhs[6];
4918   long long int     lx = 0,ls = 0;
4919   Vec               x  = snes->vec_sol;
4920 
4921   PetscFunctionBegin;
4922   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4923 
4924   ierr    = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4925   ierr    = PetscMemcpy(&lx,&x,sizeof(x));CHKERRQ(ierr);
4926   prhs[0] = mxCreateDoubleScalar((double)ls);
4927   prhs[1] = mxCreateDoubleScalar((double)it);
4928   prhs[2] = mxCreateDoubleScalar((double)fnorm);
4929   prhs[3] = mxCreateDoubleScalar((double)lx);
4930   prhs[4] = mxCreateString(sctx->funcname);
4931   prhs[5] = sctx->ctx;
4932   ierr    = mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscSNESMonitorInternal");CHKERRQ(ierr);
4933   ierr    = mxGetScalar(plhs[0]);CHKERRQ(ierr);
4934   mxDestroyArray(prhs[0]);
4935   mxDestroyArray(prhs[1]);
4936   mxDestroyArray(prhs[2]);
4937   mxDestroyArray(prhs[3]);
4938   mxDestroyArray(prhs[4]);
4939   mxDestroyArray(plhs[0]);
4940   PetscFunctionReturn(0);
4941 }
4942 
4943 #undef __FUNCT__
4944 #define __FUNCT__ "SNESMonitorSetMatlab"
4945 /*
4946    SNESMonitorSetMatlab - Sets the monitor function from MATLAB
4947 
4948    Level: developer
4949 
4950 .keywords: SNES, nonlinear, set, function
4951 
4952 .seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian(), SNESSetFunction()
4953 */
4954 PetscErrorCode  SNESMonitorSetMatlab(SNES snes,const char *SNESMonitorFunction,mxArray *ctx)
4955 {
4956   PetscErrorCode    ierr;
4957   SNESMatlabContext *sctx;
4958 
4959   PetscFunctionBegin;
4960   /* currently sctx is memory bleed */
4961   ierr = PetscMalloc(sizeof(SNESMatlabContext),&sctx);CHKERRQ(ierr);
4962   ierr = PetscStrallocpy(SNESMonitorFunction,&sctx->funcname);CHKERRQ(ierr);
4963   /*
4964      This should work, but it doesn't
4965   sctx->ctx = ctx;
4966   mexMakeArrayPersistent(sctx->ctx);
4967   */
4968   sctx->ctx = mxDuplicateArray(ctx);
4969   ierr      = SNESMonitorSet(snes,SNESMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
4970   PetscFunctionReturn(0);
4971 }
4972 
4973 #endif
4974