Actual source code: snes.c

  1: #include <petsc/private/snesimpl.h>
  2: #include <petsc/private/linesearchimpl.h>
  3: #include <petscdmshell.h>
  4: #include <petscdraw.h>
  5: #include <petscds.h>
  6: #include <petscdmadaptor.h>
  7: #include <petscconvest.h>

  9: PetscBool         SNESRegisterAllCalled = PETSC_FALSE;
 10: PetscFunctionList SNESList              = NULL;

 12: /* Logging support */
 13: PetscClassId  SNES_CLASSID, DMSNES_CLASSID;
 14: PetscLogEvent SNES_Solve, SNES_SetUp, SNES_FunctionEval, SNES_JacobianEval, SNES_NGSEval, SNES_NGSFuncEval, SNES_NewtonALEval, SNES_NPCSolve, SNES_ObjectiveEval;

 16: /*@
 17:   SNESSetErrorIfNotConverged - Causes `SNESSolve()` to generate an error immediately if the solver has not converged.

 19:   Logically Collective

 21:   Input Parameters:
 22: + snes - iterative context obtained from `SNESCreate()`
 23: - flg  - `PETSC_TRUE` indicates you want the error generated

 25:   Options Database Key:
 26: . -snes_error_if_not_converged <true,false> - cause an immediate error condition and stop the program if the solver does not converge

 28:   Level: intermediate

 30:   Note:
 31:   Normally PETSc continues if a solver fails to converge, you can call `SNESGetConvergedReason()` after a `SNESSolve()`
 32:   to determine if it has converged. Otherwise the solution may be inaccurate or wrong

 34: .seealso: [](ch_snes), `SNES`, `SNESGetErrorIfNotConverged()`, `KSPGetErrorIfNotConverged()`, `KSPSetErrorIfNotConverged()`
 35: @*/
 36: PetscErrorCode SNESSetErrorIfNotConverged(SNES snes, PetscBool flg)
 37: {
 38:   PetscFunctionBegin;
 41:   snes->errorifnotconverged = flg;
 42:   PetscFunctionReturn(PETSC_SUCCESS);
 43: }

 45: /*@
 46:   SNESGetErrorIfNotConverged - Indicates if `SNESSolve()` will generate an error if the solver does not converge?

 48:   Not Collective

 50:   Input Parameter:
 51: . snes - iterative context obtained from `SNESCreate()`

 53:   Output Parameter:
 54: . flag - `PETSC_TRUE` if it will generate an error, else `PETSC_FALSE`

 56:   Level: intermediate

 58: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetErrorIfNotConverged()`, `KSPGetErrorIfNotConverged()`, `KSPSetErrorIfNotConverged()`
 59: @*/
 60: PetscErrorCode SNESGetErrorIfNotConverged(SNES snes, PetscBool *flag)
 61: {
 62:   PetscFunctionBegin;
 64:   PetscAssertPointer(flag, 2);
 65:   *flag = snes->errorifnotconverged;
 66:   PetscFunctionReturn(PETSC_SUCCESS);
 67: }

 69: /*@
 70:   SNESSetAlwaysComputesFinalResidual - tells the `SNES` to always compute the residual (nonlinear function value) at the final solution

 72:   Logically Collective

 74:   Input Parameters:
 75: + snes - the shell `SNES`
 76: - flg  - `PETSC_TRUE` to always compute the residual

 78:   Level: advanced

 80:   Note:
 81:   Some solvers (such as smoothers in a `SNESFAS`) do not need the residual computed at the final solution so skip computing it
 82:   to save time.

 84: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSolve()`, `SNESGetAlwaysComputesFinalResidual()`
 85: @*/
 86: PetscErrorCode SNESSetAlwaysComputesFinalResidual(SNES snes, PetscBool flg)
 87: {
 88:   PetscFunctionBegin;
 90:   snes->alwayscomputesfinalresidual = flg;
 91:   PetscFunctionReturn(PETSC_SUCCESS);
 92: }

 94: /*@
 95:   SNESGetAlwaysComputesFinalResidual - checks if the `SNES` always computes the residual at the final solution

 97:   Logically Collective

 99:   Input Parameter:
100: . snes - the `SNES` context

102:   Output Parameter:
103: . flg - `PETSC_TRUE` if the residual is computed

105:   Level: advanced

107: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSolve()`, `SNESSetAlwaysComputesFinalResidual()`
108: @*/
109: PetscErrorCode SNESGetAlwaysComputesFinalResidual(SNES snes, PetscBool *flg)
110: {
111:   PetscFunctionBegin;
113:   *flg = snes->alwayscomputesfinalresidual;
114:   PetscFunctionReturn(PETSC_SUCCESS);
115: }

117: /*@
118:   SNESSetFunctionDomainError - tells `SNES` that the input vector, a proposed new solution, to your function you provided to `SNESSetFunction()` is not
119:   in the function's domain. For example, a step with negative pressure.

121:   Not Collective

123:   Input Parameter:
124: . snes - the `SNES` context

126:   Level: advanced

128:   Notes:
129:   This does not need to be called by all processes in the `SNES` MPI communicator.

131:   A few solvers will try to cut the step size to avoid the domain error but for other solvers `SNESSolve()` stops iterating and and
132:   returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_DOMAIN`

134:   You can direct `SNES` to avoid certain steps by using `SNESVISetVariableBounds()`, `SNESVISetComputeVariableBounds()` or
135:   `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`

137:   You should always call `SNESGetConvergedReason()` after each `SNESSolve()` and verify if the iteration converged (positive result) or diverged (negative result).

139:   You can call `SNESSetJacobianDomainError()` during a Jacobian computation to indicate the proposed solution is not in the domain.

141:   Developer Note:
142:   This value is used by `SNESCheckFunctionDomainError()` to determine if the `SNESConvergedReason` is set to `SNES_DIVERGED_FUNCTION_DOMAIN`

144: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
145:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`,
146:           `SNES_DIVERGED_FUNCTION_DOMAIN`, `SNESSetObjectiveDomainError()`
147: @*/
148: PetscErrorCode SNESSetFunctionDomainError(SNES snes)
149: {
150:   PetscFunctionBegin;
152:   snes->functiondomainerror = PETSC_TRUE;
153:   PetscFunctionReturn(PETSC_SUCCESS);
154: }

156: /*@
157:   SNESSetObjectiveDomainError - tells `SNES` that the input vector, a proposed new solution, to your function you provided to `SNESSetObjective()` is not
158:   in the function's domain. For example, a step with negative pressure.

160:   Not Collective

162:   Input Parameter:
163: . snes - the `SNES` context

165:   Level: advanced

167:   Notes:
168:   This does not need to be called by all processes in the `SNES` MPI communicator.

170:   A few solvers will try to cut the step size to avoid the domain error but for other solvers `SNESSolve()` stops iterating and and
171:   returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_DOMAIN`

173:   You can direct `SNES` to avoid certain steps by using `SNESVISetVariableBounds()`, `SNESVISetComputeVariableBounds()` or
174:   `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`

176:   You should always call `SNESGetConvergedReason()` after each `SNESSolve()` and verify if the iteration converged (positive result) or diverged (negative result).

178:   You can call `SNESSetJacobianDomainError()` during a Jacobian computation to indicate the proposed solution is not in the domain.

180:   Developer Note:
181:   This value is used by `SNESCheckFunctionDomainError()` to determine if the `SNESConvergedReason` is set to `SNES_DIVERGED_FUNCTION_DOMAIN`

183: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
184:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`,
185:           `SNES_DIVERGED_FUNCTION_DOMAIN`, `SNESSetFunctionDomainError()`
186: @*/
187: PetscErrorCode SNESSetObjectiveDomainError(SNES snes)
188: {
189:   PetscFunctionBegin;
191:   snes->objectivedomainerror = PETSC_TRUE;
192:   PetscFunctionReturn(PETSC_SUCCESS);
193: }

195: /*@
196:   SNESSetJacobianDomainError - tells `SNES` that the function you provided to `SNESSetJacobian()` at the proposed step. For example there is a negative element transformation.

198:   Logically Collective

200:   Input Parameter:
201: . snes - the `SNES` context

203:   Level: advanced

205:   Notes:
206:   If this is called the `SNESSolve()` stops iterating and returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_DOMAIN`

208:   You should always call `SNESGetConvergedReason()` after each `SNESSolve()` and verify if the iteration converged (positive result) or diverged (negative result).

210:   You can direct `SNES` to avoid certain steps by using `SNESVISetVariableBounds()`, `SNESVISetComputeVariableBounds()` or
211:   `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`

213: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESVISetVariableBounds()`,
214:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`
215: @*/
216: PetscErrorCode SNESSetJacobianDomainError(SNES snes)
217: {
218:   PetscFunctionBegin;
220:   PetscCheck(!snes->errorifnotconverged, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "User code indicates computeJacobian does not make sense");
221:   snes->jacobiandomainerror = PETSC_TRUE;
222:   PetscFunctionReturn(PETSC_SUCCESS);
223: }

225: /*@
226:   SNESSetCheckJacobianDomainError - tells `SNESSolve()` whether to check if the user called `SNESSetJacobianDomainError()` to indicate a Jacobian domain error after
227:   each Jacobian evaluation.

229:   Logically Collective

231:   Input Parameters:
232: + snes - the `SNES` context
233: - flg  - indicates if or not to check Jacobian domain error after each Jacobian evaluation

235:   Level: advanced

237:   Notes:
238:   By default, it checks for the Jacobian domain error in the debug mode, and does not check it in the optimized mode.

240:   Checks require one extra parallel synchronization for each Jacobian evaluation

242: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESGetCheckJacobianDomainError()`
243: @*/
244: PetscErrorCode SNESSetCheckJacobianDomainError(SNES snes, PetscBool flg)
245: {
246:   PetscFunctionBegin;
248:   snes->checkjacdomainerror = flg;
249:   PetscFunctionReturn(PETSC_SUCCESS);
250: }

252: /*@
253:   SNESGetCheckJacobianDomainError - Get an indicator whether or not `SNES` is checking Jacobian domain errors after each Jacobian evaluation.

255:   Logically Collective

257:   Input Parameter:
258: . snes - the `SNES` context

260:   Output Parameter:
261: . flg - `PETSC_FALSE` indicates that it is not checking Jacobian domain errors after each Jacobian evaluation

263:   Level: advanced

265: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESSetCheckJacobianDomainError()`
266: @*/
267: PetscErrorCode SNESGetCheckJacobianDomainError(SNES snes, PetscBool *flg)
268: {
269:   PetscFunctionBegin;
271:   PetscAssertPointer(flg, 2);
272:   *flg = snes->checkjacdomainerror;
273:   PetscFunctionReturn(PETSC_SUCCESS);
274: }

276: /*@
277:   SNESLoad - Loads a `SNES` that has been stored in `PETSCVIEWERBINARY` with `SNESView()`.

279:   Collective

281:   Input Parameters:
282: + snes   - the newly loaded `SNES`, this needs to have been created with `SNESCreate()` or
283:            some related function before a call to `SNESLoad()`.
284: - viewer - binary file viewer, obtained from `PetscViewerBinaryOpen()`

286:   Level: intermediate

288:   Note:
289:   The `SNESType` is determined by the data in the file, any type set into the `SNES` before this call is ignored.

291: .seealso: [](ch_snes), `SNES`, `PetscViewer`, `SNESCreate()`, `SNESType`, `PetscViewerBinaryOpen()`, `SNESView()`, `MatLoad()`, `VecLoad()`
292: @*/
293: PetscErrorCode SNESLoad(SNES snes, PetscViewer viewer)
294: {
295:   PetscBool isbinary;
296:   PetscInt  classid;
297:   char      type[256];
298:   KSP       ksp;
299:   DM        dm;
300:   DMSNES    dmsnes;

302:   PetscFunctionBegin;
305:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
306:   PetscCheck(isbinary, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerBinaryOpen()");

308:   PetscCall(PetscViewerBinaryRead(viewer, &classid, 1, NULL, PETSC_INT));
309:   PetscCheck(classid == SNES_FILE_CLASSID, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Not SNES next in file");
310:   PetscCall(PetscViewerBinaryRead(viewer, type, 256, NULL, PETSC_CHAR));
311:   PetscCall(SNESSetType(snes, type));
312:   PetscTryTypeMethod(snes, load, viewer);
313:   PetscCall(SNESGetDM(snes, &dm));
314:   PetscCall(DMGetDMSNES(dm, &dmsnes));
315:   PetscCall(DMSNESLoad(dmsnes, viewer));
316:   PetscCall(SNESGetKSP(snes, &ksp));
317:   PetscCall(KSPLoad(ksp, viewer));
318:   PetscFunctionReturn(PETSC_SUCCESS);
319: }

321: #include <petscdraw.h>
322: #if defined(PETSC_HAVE_SAWS)
323: #include <petscviewersaws.h>
324: #endif

326: /*@
327:   SNESViewFromOptions - View a `SNES` based on values in the options database

329:   Collective

331:   Input Parameters:
332: + A    - the `SNES` context
333: . obj  - Optional object that provides the options prefix for the checks
334: - name - command line option

336:   Level: intermediate

338: .seealso: [](ch_snes), `SNES`, `SNESView`, `PetscObjectViewFromOptions()`, `SNESCreate()`
339: @*/
340: PetscErrorCode SNESViewFromOptions(SNES A, PetscObject obj, const char name[])
341: {
342:   PetscFunctionBegin;
344:   PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
345:   PetscFunctionReturn(PETSC_SUCCESS);
346: }

348: PETSC_EXTERN PetscErrorCode SNESComputeJacobian_DMDA(SNES, Vec, Mat, Mat, void *);

350: /*@
351:   SNESView - Prints or visualizes the `SNES` data structure.

353:   Collective

355:   Input Parameters:
356: + snes   - the `SNES` context
357: - viewer - the `PetscViewer`

359:   Options Database Key:
360: . -snes_view - Calls `SNESView()` at end of `SNESSolve()`

362:   Level: beginner

364:   Notes:
365:   The available visualization contexts include
366: +     `PETSC_VIEWER_STDOUT_SELF` - standard output (default)
367: -     `PETSC_VIEWER_STDOUT_WORLD` - synchronized standard
368:   output where only the first processor opens
369:   the file.  All other processors send their
370:   data to the first processor to print.

372:   The available formats include
373: +     `PETSC_VIEWER_DEFAULT` - standard output (default)
374: -     `PETSC_VIEWER_ASCII_INFO_DETAIL` - more verbose output for `SNESNASM`

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

379:   In the debugger you can do "call `SNESView`(snes,0)" to display the `SNES` solver. (The same holds for any PETSc object viewer).

381: .seealso: [](ch_snes), `SNES`, `SNESLoad()`, `SNESCreate()`, `PetscViewerASCIIOpen()`
382: @*/
383: PetscErrorCode SNESView(SNES snes, PetscViewer viewer)
384: {
385:   SNESKSPEW     *kctx;
386:   KSP            ksp;
387:   SNESLineSearch linesearch;
388:   PetscBool      isascii, isstring, isbinary, isdraw;
389:   DMSNES         dmsnes;
390: #if defined(PETSC_HAVE_SAWS)
391:   PetscBool issaws;
392: #endif

394:   PetscFunctionBegin;
396:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &viewer));
398:   PetscCheckSameComm(snes, 1, viewer, 2);

400:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
401:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSTRING, &isstring));
402:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
403:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
404: #if defined(PETSC_HAVE_SAWS)
405:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSAWS, &issaws));
406: #endif
407:   if (isascii) {
408:     SNESNormSchedule normschedule;
409:     DM               dm;
410:     SNESJacobianFn  *cJ;
411:     void            *ctx;
412:     const char      *pre = "";

414:     PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)snes, viewer));
415:     if (!snes->setupcalled) PetscCall(PetscViewerASCIIPrintf(viewer, "  SNES has not been set up so information may be incomplete\n"));
416:     if (snes->ops->view) {
417:       PetscCall(PetscViewerASCIIPushTab(viewer));
418:       PetscUseTypeMethod(snes, view, viewer);
419:       PetscCall(PetscViewerASCIIPopTab(viewer));
420:     }
421:     if (snes->max_funcs == PETSC_UNLIMITED) {
422:       PetscCall(PetscViewerASCIIPrintf(viewer, "  maximum iterations=%" PetscInt_FMT ", maximum function evaluations=unlimited\n", snes->max_its));
423:     } else {
424:       PetscCall(PetscViewerASCIIPrintf(viewer, "  maximum iterations=%" PetscInt_FMT ", maximum function evaluations=%" PetscInt_FMT "\n", snes->max_its, snes->max_funcs));
425:     }
426:     PetscCall(PetscViewerASCIIPrintf(viewer, "  tolerances: relative=%g, absolute=%g, solution=%g\n", (double)snes->rtol, (double)snes->abstol, (double)snes->stol));
427:     if (snes->usesksp) PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of linear solver iterations=%" PetscInt_FMT "\n", snes->linear_its));
428:     PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of function evaluations=%" PetscInt_FMT "\n", snes->nfuncs));
429:     PetscCall(SNESGetNormSchedule(snes, &normschedule));
430:     if (normschedule > 0) PetscCall(PetscViewerASCIIPrintf(viewer, "  norm schedule %s\n", SNESNormSchedules[normschedule]));
431:     if (snes->gridsequence) PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of grid sequence refinements=%" PetscInt_FMT "\n", snes->gridsequence));
432:     if (snes->ksp_ewconv) {
433:       kctx = (SNESKSPEW *)snes->kspconvctx;
434:       if (kctx) {
435:         PetscCall(PetscViewerASCIIPrintf(viewer, "  Eisenstat-Walker computation of KSP relative tolerance (version %" PetscInt_FMT ")\n", kctx->version));
436:         PetscCall(PetscViewerASCIIPrintf(viewer, "    rtol_0=%g, rtol_max=%g, threshold=%g\n", (double)kctx->rtol_0, (double)kctx->rtol_max, (double)kctx->threshold));
437:         PetscCall(PetscViewerASCIIPrintf(viewer, "    gamma=%g, alpha=%g, alpha2=%g\n", (double)kctx->gamma, (double)kctx->alpha, (double)kctx->alpha2));
438:       }
439:     }
440:     if (snes->lagpreconditioner == -1) {
441:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Preconditioned is never rebuilt\n"));
442:     } else if (snes->lagpreconditioner > 1) {
443:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Preconditioned is rebuilt every %" PetscInt_FMT " new Jacobians\n", snes->lagpreconditioner));
444:     }
445:     if (snes->lagjacobian == -1) {
446:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is never rebuilt\n"));
447:     } else if (snes->lagjacobian > 1) {
448:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is rebuilt every %" PetscInt_FMT " SNES iterations\n", snes->lagjacobian));
449:     }
450:     PetscCall(SNESGetDM(snes, &dm));
451:     PetscCall(DMSNESGetJacobian(dm, &cJ, &ctx));
452:     if (snes->mf_operator) {
453:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is applied matrix-free with differencing\n"));
454:       pre = "Preconditioning ";
455:     }
456:     if (cJ == SNESComputeJacobianDefault) {
457:       PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using finite differences one column at a time\n", pre));
458:     } else if (cJ == SNESComputeJacobianDefaultColor) {
459:       PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using finite differences with coloring\n", pre));
460:       /* it slightly breaks data encapsulation for access the DMDA information directly */
461:     } else if (cJ == SNESComputeJacobian_DMDA) {
462:       MatFDColoring fdcoloring;
463:       PetscCall(PetscObjectQuery((PetscObject)dm, "DMDASNES_FDCOLORING", (PetscObject *)&fdcoloring));
464:       if (fdcoloring) {
465:         PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using colored finite differences on a DMDA\n", pre));
466:       } else {
467:         PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using a DMDA local Jacobian\n", pre));
468:       }
469:     } else if (snes->mf && !snes->mf_operator) {
470:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is applied matrix-free with differencing, no explicit Jacobian\n"));
471:     }
472:   } else if (isstring) {
473:     const char *type;
474:     PetscCall(SNESGetType(snes, &type));
475:     PetscCall(PetscViewerStringSPrintf(viewer, " SNESType: %-7.7s", type));
476:     PetscTryTypeMethod(snes, view, viewer);
477:   } else if (isbinary) {
478:     PetscInt    classid = SNES_FILE_CLASSID;
479:     MPI_Comm    comm;
480:     PetscMPIInt rank;
481:     char        type[256];

483:     PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
484:     PetscCallMPI(MPI_Comm_rank(comm, &rank));
485:     if (rank == 0) {
486:       PetscCall(PetscViewerBinaryWrite(viewer, &classid, 1, PETSC_INT));
487:       PetscCall(PetscStrncpy(type, ((PetscObject)snes)->type_name, sizeof(type)));
488:       PetscCall(PetscViewerBinaryWrite(viewer, type, sizeof(type), PETSC_CHAR));
489:     }
490:     PetscTryTypeMethod(snes, view, viewer);
491:   } else if (isdraw) {
492:     PetscDraw draw;
493:     char      str[36];
494:     PetscReal x, y, bottom, h;

496:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
497:     PetscCall(PetscDrawGetCurrentPoint(draw, &x, &y));
498:     PetscCall(PetscStrncpy(str, "SNES: ", sizeof(str)));
499:     PetscCall(PetscStrlcat(str, ((PetscObject)snes)->type_name, sizeof(str)));
500:     PetscCall(PetscDrawStringBoxed(draw, x, y, PETSC_DRAW_BLUE, PETSC_DRAW_BLACK, str, NULL, &h));
501:     bottom = y - h;
502:     PetscCall(PetscDrawPushCurrentPoint(draw, x, bottom));
503:     PetscTryTypeMethod(snes, view, viewer);
504: #if defined(PETSC_HAVE_SAWS)
505:   } else if (issaws) {
506:     PetscMPIInt rank;
507:     const char *name;

509:     PetscCall(PetscObjectGetName((PetscObject)snes, &name));
510:     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
511:     if (!((PetscObject)snes)->amsmem && rank == 0) {
512:       char dir[1024];

514:       PetscCall(PetscObjectViewSAWs((PetscObject)snes, viewer));
515:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/its", name));
516:       PetscCallSAWs(SAWs_Register, (dir, &snes->iter, 1, SAWs_READ, SAWs_INT));
517:       if (!snes->conv_hist) PetscCall(SNESSetConvergenceHistory(snes, NULL, NULL, PETSC_DECIDE, PETSC_TRUE));
518:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/conv_hist", name));
519:       PetscCallSAWs(SAWs_Register, (dir, snes->conv_hist, 10, SAWs_READ, SAWs_DOUBLE));
520:     }
521: #endif
522:   }
523:   if (snes->linesearch) {
524:     PetscCall(SNESGetLineSearch(snes, &linesearch));
525:     PetscCall(PetscViewerASCIIPushTab(viewer));
526:     PetscCall(SNESLineSearchView(linesearch, viewer));
527:     PetscCall(PetscViewerASCIIPopTab(viewer));
528:   }
529:   if (snes->npc && snes->usesnpc) {
530:     PetscCall(PetscViewerASCIIPushTab(viewer));
531:     PetscCall(SNESView(snes->npc, viewer));
532:     PetscCall(PetscViewerASCIIPopTab(viewer));
533:   }
534:   PetscCall(PetscViewerASCIIPushTab(viewer));
535:   PetscCall(DMGetDMSNES(snes->dm, &dmsnes));
536:   PetscCall(DMSNESView(dmsnes, viewer));
537:   PetscCall(PetscViewerASCIIPopTab(viewer));
538:   if (snes->usesksp) {
539:     PetscCall(SNESGetKSP(snes, &ksp));
540:     PetscCall(PetscViewerASCIIPushTab(viewer));
541:     PetscCall(KSPView(ksp, viewer));
542:     PetscCall(PetscViewerASCIIPopTab(viewer));
543:   }
544:   if (isdraw) {
545:     PetscDraw draw;
546:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
547:     PetscCall(PetscDrawPopCurrentPoint(draw));
548:   }
549:   PetscFunctionReturn(PETSC_SUCCESS);
550: }

552: /*
553:   We retain a list of functions that also take SNES command
554:   line options. These are called at the end SNESSetFromOptions()
555: */
556: #define MAXSETFROMOPTIONS 5
557: static PetscInt numberofsetfromoptions;
558: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

560: /*@C
561:   SNESAddOptionsChecker - Adds an additional function to check for `SNES` options.

563:   Not Collective

565:   Input Parameter:
566: . snescheck - function that checks for options

568:   Calling sequence of `snescheck`:
569: . snes - the `SNES` object for which it is checking options

571:   Level: developer

573: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
574: @*/
575: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
576: {
577:   PetscFunctionBegin;
578:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
579:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
580:   PetscFunctionReturn(PETSC_SUCCESS);
581: }

583: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
584: {
585:   Mat          J;
586:   MatNullSpace nullsp;

588:   PetscFunctionBegin;

591:   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
592:     Mat A = snes->jacobian, B = snes->jacobian_pre;
593:     PetscCall(MatCreateVecs(A ? A : B, NULL, &snes->vec_func));
594:   }

596:   PetscCheck(version == 1 || version == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "matrix-free operator routines, only version 1 and 2");
597:   if (version == 1) {
598:     PetscCall(MatCreateSNESMF(snes, &J));
599:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
600:     PetscCall(MatSetFromOptions(J));
601:     /* TODO: the version 2 code should be merged into the MatCreateSNESMF() and MatCreateMFFD() infrastructure and then removed */
602:   } else /* if (version == 2) */ {
603:     PetscCheck(snes->vec_func, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "SNESSetFunction() must be called first");
604: #if !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128) && !defined(PETSC_USE_REAL___FP16)
605:     PetscCall(MatCreateSNESMFMore(snes, snes->vec_func, &J));
606: #else
607:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix-free operator routines (version 2)");
608: #endif
609:   }

611:   /* attach any user provided null space that was on Amat to the newly created matrix-free matrix */
612:   if (snes->jacobian) {
613:     PetscCall(MatGetNullSpace(snes->jacobian, &nullsp));
614:     if (nullsp) PetscCall(MatSetNullSpace(J, nullsp));
615:   }

617:   PetscCall(PetscInfo(snes, "Setting default matrix-free operator routines (version %" PetscInt_FMT ")\n", version));
618:   if (hasOperator) {
619:     /* This version replaces the user provided Jacobian matrix with a
620:        matrix-free version but still employs the user-provided matrix used for computing the preconditioner. */
621:     PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
622:   } else {
623:     /* This version replaces both the user-provided Jacobian and the user-
624:      provided preconditioner Jacobian with the default matrix-free version. */
625:     if (snes->npcside == PC_LEFT && snes->npc) {
626:       if (!snes->jacobian) PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
627:     } else {
628:       KSP       ksp;
629:       PC        pc;
630:       PetscBool match;

632:       PetscCall(SNESSetJacobian(snes, J, J, MatMFFDComputeJacobian, NULL));
633:       /* Force no preconditioner */
634:       PetscCall(SNESGetKSP(snes, &ksp));
635:       PetscCall(KSPGetPC(ksp, &pc));
636:       PetscCall(PetscObjectTypeCompareAny((PetscObject)pc, &match, PCSHELL, PCH2OPUS, ""));
637:       if (!match) {
638:         PetscCall(PetscInfo(snes, "Setting default matrix-free preconditioner routines\nThat is no preconditioner is being used\n"));
639:         PetscCall(PCSetType(pc, PCNONE));
640:       }
641:     }
642:   }
643:   PetscCall(MatDestroy(&J));
644:   PetscFunctionReturn(PETSC_SUCCESS);
645: }

647: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, void *ctx)
648: {
649:   SNES snes = (SNES)ctx;
650:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

652:   PetscFunctionBegin;
653:   if (PetscLogPrintInfo) {
654:     PetscInt finelevel, coarselevel, fineclevel, coarseclevel;
655:     PetscCall(DMGetRefineLevel(dmfine, &finelevel));
656:     PetscCall(DMGetCoarsenLevel(dmfine, &fineclevel));
657:     PetscCall(DMGetRefineLevel(dmcoarse, &coarselevel));
658:     PetscCall(DMGetCoarsenLevel(dmcoarse, &coarseclevel));
659:     PetscCall(PetscInfo(dmfine, "Restricting SNES solution vector from level %" PetscInt_FMT "-%" PetscInt_FMT " to level %" PetscInt_FMT "-%" PetscInt_FMT "\n", finelevel, fineclevel, coarselevel, coarseclevel));
660:   }
661:   if (dmfine == snes->dm) Xfine = snes->vec_sol;
662:   else {
663:     PetscCall(DMGetNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
664:     Xfine = Xfine_named;
665:   }
666:   PetscCall(DMGetNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
667:   if (Inject) {
668:     PetscCall(MatRestrict(Inject, Xfine, Xcoarse));
669:   } else {
670:     PetscCall(MatRestrict(Restrict, Xfine, Xcoarse));
671:     PetscCall(VecPointwiseMult(Xcoarse, Xcoarse, Rscale));
672:   }
673:   PetscCall(DMRestoreNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
674:   if (Xfine_named) PetscCall(DMRestoreNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
675:   PetscFunctionReturn(PETSC_SUCCESS);
676: }

678: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, void *ctx)
679: {
680:   PetscFunctionBegin;
681:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
682:   PetscFunctionReturn(PETSC_SUCCESS);
683: }

685: /* This may be called to rediscretize the operator on levels of linear multigrid. The DM shuffle is so the user can
686:  * safely call SNESGetDM() in their residual evaluation routine. */
687: static PetscErrorCode KSPComputeOperators_SNES(KSP ksp, Mat A, Mat B, void *ctx)
688: {
689:   SNES            snes = (SNES)ctx;
690:   DMSNES          sdm;
691:   Vec             X, Xnamed = NULL;
692:   DM              dmsave;
693:   void           *ctxsave;
694:   SNESJacobianFn *jac = NULL;

696:   PetscFunctionBegin;
697:   dmsave = snes->dm;
698:   PetscCall(KSPGetDM(ksp, &snes->dm));
699:   if (dmsave == snes->dm) X = snes->vec_sol; /* We are on the finest level */
700:   else {
701:     PetscBool has;

703:     /* We are on a coarser level, this vec was initialized using a DM restrict hook */
704:     PetscCall(DMHasNamedGlobalVector(snes->dm, "SNESVecSol", &has));
705:     PetscCheck(has, PetscObjectComm((PetscObject)snes->dm), PETSC_ERR_PLIB, "Missing SNESVecSol");
706:     PetscCall(DMGetNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
707:     X = Xnamed;
708:     PetscCall(SNESGetJacobian(snes, NULL, NULL, &jac, &ctxsave));
709:     /* If the DM's don't match up, the MatFDColoring context needed for the jacobian won't match up either -- fixit. */
710:     if (jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, SNESComputeJacobianDefaultColor, NULL));
711:   }

713:   /* Compute the operators */
714:   PetscCall(DMGetDMSNES(snes->dm, &sdm));
715:   if (Xnamed && sdm->ops->computefunction) {
716:     /* The SNES contract with the user is that ComputeFunction is always called before ComputeJacobian.
717:        We make sure of this here. Disable affine shift since it is for the finest level */
718:     Vec F, saverhs = snes->vec_rhs;

720:     snes->vec_rhs = NULL;
721:     PetscCall(DMGetGlobalVector(snes->dm, &F));
722:     PetscCall(SNESComputeFunction(snes, X, F));
723:     PetscCall(DMRestoreGlobalVector(snes->dm, &F));
724:     snes->vec_rhs = saverhs;
725:     snes->nfuncs--; /* Do not log coarser level evaluations */
726:   }
727:   /* Make sure KSP DM has the Jacobian computation routine */
728:   if (!sdm->ops->computejacobian) PetscCall(DMCopyDMSNES(dmsave, snes->dm));
729:   PetscCall(SNESComputeJacobian(snes, X, A, B)); /* cannot handle previous SNESSetJacobianDomainError() calls */

731:   /* Put the previous context back */
732:   if (snes->dm != dmsave && jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, jac, ctxsave));

734:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
735:   snes->dm = dmsave;
736:   PetscFunctionReturn(PETSC_SUCCESS);
737: }

739: /*@
740:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

742:   Collective

744:   Input Parameter:
745: . snes - `SNES` object to configure

747:   Level: developer

749:   Note:
750:   If the matrices do not yet exist it attempts to create them based on options previously set for the `SNES` such as `-snes_mf`

752:   Developer Note:
753:   The functionality of this routine overlaps in a confusing way with the functionality of `SNESSetUpMatrixFree_Private()` which is called by
754:   `SNESSetUp()` but sometimes `SNESSetUpMatrices()` is called without `SNESSetUp()` being called. A refactorization to simplify the
755:   logic that handles the matrix-free case is desirable.

757: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
758: @*/
759: PetscErrorCode SNESSetUpMatrices(SNES snes)
760: {
761:   DM     dm;
762:   DMSNES sdm;

764:   PetscFunctionBegin;
765:   PetscCall(SNESGetDM(snes, &dm));
766:   PetscCall(DMGetDMSNES(dm, &sdm));
767:   if (!snes->jacobian && snes->mf && !snes->mf_operator && !snes->jacobian_pre) {
768:     Mat   J;
769:     void *functx;
770:     PetscCall(MatCreateSNESMF(snes, &J));
771:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
772:     PetscCall(MatSetFromOptions(J));
773:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
774:     PetscCall(SNESSetJacobian(snes, J, J, NULL, NULL));
775:     PetscCall(MatDestroy(&J));
776:   } else if (snes->mf_operator && !snes->jacobian_pre && !snes->jacobian) {
777:     Mat J, B;
778:     PetscCall(MatCreateSNESMF(snes, &J));
779:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
780:     PetscCall(MatSetFromOptions(J));
781:     PetscCall(DMCreateMatrix(snes->dm, &B));
782:     /* sdm->computejacobian was already set to reach here */
783:     PetscCall(SNESSetJacobian(snes, J, B, NULL, NULL));
784:     PetscCall(MatDestroy(&J));
785:     PetscCall(MatDestroy(&B));
786:   } else if (!snes->jacobian_pre) {
787:     PetscDS   prob;
788:     Mat       J, B;
789:     PetscBool hasPrec = PETSC_FALSE;

791:     J = snes->jacobian;
792:     PetscCall(DMGetDS(dm, &prob));
793:     if (prob) PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
794:     if (J) PetscCall(PetscObjectReference((PetscObject)J));
795:     else if (hasPrec) PetscCall(DMCreateMatrix(snes->dm, &J));
796:     PetscCall(DMCreateMatrix(snes->dm, &B));
797:     PetscCall(SNESSetJacobian(snes, J ? J : B, B, NULL, NULL));
798:     PetscCall(MatDestroy(&J));
799:     PetscCall(MatDestroy(&B));
800:   }
801:   {
802:     KSP ksp;
803:     PetscCall(SNESGetKSP(snes, &ksp));
804:     PetscCall(KSPSetComputeOperators(ksp, KSPComputeOperators_SNES, snes));
805:     PetscCall(DMCoarsenHookAdd(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
806:   }
807:   PetscFunctionReturn(PETSC_SUCCESS);
808: }

810: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, void *);

812: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
813: {
814:   PetscFunctionBegin;
815:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
816:   PetscCall(PetscMonitorPauseFinal_Internal(snes->numbermonitors, snes->monitorcontext));
817:   PetscFunctionReturn(PETSC_SUCCESS);
818: }

820: /*@C
821:   SNESMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user

823:   Collective

825:   Input Parameters:
826: + snes         - `SNES` object you wish to monitor
827: . name         - the monitor type one is seeking
828: . help         - message indicating what monitoring is done
829: . manual       - manual page for the monitor
830: . monitor      - the monitor function, this must use a `PetscViewerFormat` as its context
831: - monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the `SNES` or `PetscViewer` objects

833:   Calling sequence of `monitor`:
834: + snes - the nonlinear solver context
835: . it   - the current iteration
836: . r    - the current function norm
837: - vf   - a `PetscViewerAndFormat` struct that contains the `PetscViewer` and `PetscViewerFormat` to use

839:   Calling sequence of `monitorsetup`:
840: + snes - the nonlinear solver context
841: - vf   - a `PetscViewerAndFormat` struct that contains the `PetscViewer` and `PetscViewerFormat` to use

843:   Options Database Key:
844: . -name - trigger the use of this monitor in `SNESSetFromOptions()`

846:   Level: advanced

848: .seealso: [](ch_snes), `PetscOptionsCreateViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
849:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`
850:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
851:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
852:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
853:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
854:           `PetscOptionsFList()`, `PetscOptionsEList()`
855: @*/
856: PetscErrorCode SNESMonitorSetFromOptions(SNES snes, const char name[], const char help[], const char manual[], PetscErrorCode (*monitor)(SNES snes, PetscInt it, PetscReal r, PetscViewerAndFormat *vf), PetscErrorCode (*monitorsetup)(SNES snes, PetscViewerAndFormat *vf))
857: {
858:   PetscViewer       viewer;
859:   PetscViewerFormat format;
860:   PetscBool         flg;

862:   PetscFunctionBegin;
863:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, name, &viewer, &format, &flg));
864:   if (flg) {
865:     PetscViewerAndFormat *vf;
866:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
867:     PetscCall(PetscViewerDestroy(&viewer));
868:     if (monitorsetup) PetscCall((*monitorsetup)(snes, vf));
869:     PetscCall(SNESMonitorSet(snes, (PetscErrorCode (*)(SNES, PetscInt, PetscReal, void *))monitor, vf, (PetscCtxDestroyFn *)PetscViewerAndFormatDestroy));
870:   }
871:   PetscFunctionReturn(PETSC_SUCCESS);
872: }

874: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
875: {
876:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

878:   PetscFunctionBegin;
879:   PetscOptionsBegin(comm, prefix, "Eisenstat and Walker type forcing options", "KSP");
880:   PetscCall(PetscOptionsInt("-ksp_ew_version", "Version 1, 2 or 3", api, kctx->version, &kctx->version, NULL));
881:   PetscCall(PetscOptionsReal("-ksp_ew_rtol0", "0 <= rtol0 < 1", api, kctx->rtol_0, &kctx->rtol_0, NULL));
882:   kctx->rtol_max = PetscMax(kctx->rtol_0, kctx->rtol_max);
883:   PetscCall(PetscOptionsReal("-ksp_ew_rtolmax", "0 <= rtolmax < 1", api, kctx->rtol_max, &kctx->rtol_max, NULL));
884:   PetscCall(PetscOptionsReal("-ksp_ew_gamma", "0 <= gamma <= 1", api, kctx->gamma, &kctx->gamma, NULL));
885:   PetscCall(PetscOptionsReal("-ksp_ew_alpha", "1 < alpha <= 2", api, kctx->alpha, &kctx->alpha, NULL));
886:   PetscCall(PetscOptionsReal("-ksp_ew_alpha2", "alpha2", NULL, kctx->alpha2, &kctx->alpha2, NULL));
887:   PetscCall(PetscOptionsReal("-ksp_ew_threshold", "0 < threshold < 1", api, kctx->threshold, &kctx->threshold, NULL));
888:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p1", "p1", NULL, kctx->v4_p1, &kctx->v4_p1, NULL));
889:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p2", "p2", NULL, kctx->v4_p2, &kctx->v4_p2, NULL));
890:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p3", "p3", NULL, kctx->v4_p3, &kctx->v4_p3, NULL));
891:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m1", "Scaling when rk-1 in [p2,p3)", NULL, kctx->v4_m1, &kctx->v4_m1, NULL));
892:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m2", "Scaling when rk-1 in [p3,+infty)", NULL, kctx->v4_m2, &kctx->v4_m2, NULL));
893:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m3", "Threshold for successive rtol (0.1 in Eq.7)", NULL, kctx->v4_m3, &kctx->v4_m3, NULL));
894:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m4", "Adaptation scaling (0.5 in Eq.7)", NULL, kctx->v4_m4, &kctx->v4_m4, NULL));
895:   PetscOptionsEnd();
896:   PetscFunctionReturn(PETSC_SUCCESS);
897: }

899: /*@
900:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

902:   Collective

904:   Input Parameter:
905: . snes - the `SNES` context

907:   Options Database Keys:
908: + -snes_type <type>                                                            - newtonls, newtontr, ngmres, ncg, nrichardson, qn, vi, fas, `SNESType` for complete list
909: . -snes_rtol <rtol>                                                            - relative decrease in tolerance norm from initial
910: . -snes_atol <abstol>                                                          - absolute tolerance of residual norm
911: . -snes_stol <stol>                                                            - convergence tolerance in terms of the norm of the change in the solution between steps
912: . -snes_divergence_tolerance <divtol>                                          - if the residual goes above divtol*rnorm0, exit with divergence
913: . -snes_max_it <max_it>                                                        - maximum number of iterations
914: . -snes_max_funcs <max_funcs>                                                  - maximum number of function evaluations
915: . -snes_force_iteration <force>                                                - force `SNESSolve()` to take at least one iteration
916: . -snes_max_fail <max_fail>                                                    - maximum number of line search failures allowed before stopping, default is none
917: . -snes_max_linear_solve_fail                                                  - number of linear solver failures before SNESSolve() stops
918: . -snes_lag_preconditioner <lag>                                               - how often preconditioner is rebuilt (use -1 to never rebuild)
919: . -snes_lag_preconditioner_persists <true,false>                               - retains the -snes_lag_preconditioner information across multiple SNESSolve()
920: . -snes_lag_jacobian <lag>                                                     - how often Jacobian is rebuilt (use -1 to never rebuild)
921: . -snes_lag_jacobian_persists <true,false>                                     - retains the -snes_lag_jacobian information across multiple SNESSolve()
922: . -snes_convergence_test <default,skip,correct_pressure>                       - convergence test in nonlinear solver. default `SNESConvergedDefault()`. skip `SNESConvergedSkip()` means continue iterating until max_it or some other criterion is reached, saving expense of convergence test. correct_pressure `SNESConvergedCorrectPressure()` has special handling of a pressure null space.
923: . -snes_monitor [ascii][:filename][:viewer format]                             - prints residual norm at each iteration. if no filename given prints to stdout
924: . -snes_monitor_solution [ascii binary draw][:filename][:viewer format]        - plots solution at each iteration
925: . -snes_monitor_residual [ascii binary draw][:filename][:viewer format]        - plots residual (not its norm) at each iteration
926: . -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration
927: . -snes_monitor_lg_residualnorm                                                - plots residual norm at each iteration
928: . -snes_monitor_lg_range                                                       - plots residual norm at each iteration
929: . -snes_monitor_pause_final                                                    - Pauses all monitor drawing after the solver ends
930: . -snes_fd                                                                     - use finite differences to compute Jacobian; very slow, only for testing
931: . -snes_fd_color                                                               - use finite differences with coloring to compute Jacobian
932: . -snes_mf_ksp_monitor                                                         - if using matrix-free multiply then print h at each `KSP` iteration
933: . -snes_converged_reason                                                       - print the reason for convergence/divergence after each solve
934: . -npc_snes_type <type>                                                        - the `SNES` type to use as a nonlinear preconditioner
935: . -snes_test_jacobian <optional threshold>                                     - compare the user provided Jacobian with one computed via finite differences to check for errors.  If a threshold is given, display only those entries whose difference is greater than the threshold.
936: - -snes_test_jacobian_view                                                     - display the user provided Jacobian, the finite difference Jacobian and the difference between them to help users detect the location of errors in the user provided Jacobian.

938:   Options Database Keys for Eisenstat-Walker method:
939: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
940: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
941: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
942: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
943: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
944: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
945: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
946: - -snes_ksp_ew_threshold <threshold> - Sets threshold

948:   Level: beginner

950:   Notes:
951:   To see all options, run your program with the -help option or consult the users manual

953:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
954:   and computing explicitly with
955:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

957: .seealso: [](ch_snes), `SNESType`, `SNESSetOptionsPrefix()`, `SNESResetFromOptions()`, `SNES`, `SNESCreate()`, `MatCreateSNESMF()`, `MatFDColoring`
958: @*/
959: PetscErrorCode SNESSetFromOptions(SNES snes)
960: {
961:   PetscBool   flg, pcset, persist, set;
962:   PetscInt    i, indx, lag, grids, max_its, max_funcs;
963:   const char *deft        = SNESNEWTONLS;
964:   const char *convtests[] = {"default", "skip", "correct_pressure"};
965:   SNESKSPEW  *kctx        = NULL;
966:   char        type[256], monfilename[PETSC_MAX_PATH_LEN], ewprefix[256];
967:   PCSide      pcside;
968:   const char *optionsprefix;
969:   PetscReal   rtol, abstol, stol;

971:   PetscFunctionBegin;
973:   PetscCall(SNESRegisterAll());
974:   PetscObjectOptionsBegin((PetscObject)snes);
975:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
976:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, 256, &flg));
977:   if (flg) {
978:     PetscCall(SNESSetType(snes, type));
979:   } else if (!((PetscObject)snes)->type_name) {
980:     PetscCall(SNESSetType(snes, deft));
981:   }

983:   abstol    = snes->abstol;
984:   rtol      = snes->rtol;
985:   stol      = snes->stol;
986:   max_its   = snes->max_its;
987:   max_funcs = snes->max_funcs;
988:   PetscCall(PetscOptionsReal("-snes_rtol", "Stop if decrease in function norm less than", "SNESSetTolerances", snes->rtol, &rtol, NULL));
989:   PetscCall(PetscOptionsReal("-snes_atol", "Stop if function norm less than", "SNESSetTolerances", snes->abstol, &abstol, NULL));
990:   PetscCall(PetscOptionsReal("-snes_stol", "Stop if step length less than", "SNESSetTolerances", snes->stol, &stol, NULL));
991:   PetscCall(PetscOptionsInt("-snes_max_it", "Maximum iterations", "SNESSetTolerances", snes->max_its, &max_its, NULL));
992:   PetscCall(PetscOptionsInt("-snes_max_funcs", "Maximum function evaluations", "SNESSetTolerances", snes->max_funcs, &max_funcs, NULL));
993:   PetscCall(SNESSetTolerances(snes, abstol, rtol, stol, max_its, max_funcs));

995:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, &flg));
996:   if (flg) PetscCall(SNESSetDivergenceTolerance(snes, snes->divtol));

998:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
999:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1001:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1002:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1004:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1005:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1006:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1008:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1009:   if (flg) {
1010:     PetscCheck(lag != -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_USER, "Cannot set the lag to -1 from the command line since the preconditioner must be built as least once, perhaps you mean -2");
1011:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1012:   }
1013:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1014:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1015:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1016:   if (flg) {
1017:     PetscCheck(lag != -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_USER, "Cannot set the lag to -1 from the command line since the Jacobian must be built as least once, perhaps you mean -2");
1018:     PetscCall(SNESSetLagJacobian(snes, lag));
1019:   }
1020:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1021:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1023:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1024:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1026:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1027:   if (flg) {
1028:     switch (indx) {
1029:     case 0:
1030:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1031:       break;
1032:     case 1:
1033:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1034:       break;
1035:     case 2:
1036:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1037:       break;
1038:     }
1039:   }

1041:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1042:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1044:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1045:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1047:   kctx = (SNESKSPEW *)snes->kspconvctx;

1049:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1051:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1052:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1053:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1055:   flg = PETSC_FALSE;
1056:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1057:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1059:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1060:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1061:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1063:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1064:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1065:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1066:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1068:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1069:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1070:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1072:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1073:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1075:   flg = PETSC_FALSE;
1076:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1077:   if (flg) {
1078:     PetscViewer ctx;

1080:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1081:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1082:   }

1084:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1085:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1086:   flg = PETSC_FALSE;
1087:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1088:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1090:   flg = PETSC_FALSE;
1091:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1092:   if (flg) {
1093:     void *functx;
1094:     DM    dm;
1095:     PetscCall(SNESGetDM(snes, &dm));
1096:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1097:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1098:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1099:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1100:   }

1102:   flg = PETSC_FALSE;
1103:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1104:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1106:   flg = PETSC_FALSE;
1107:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1108:   if (flg) {
1109:     DM dm;
1110:     PetscCall(SNESGetDM(snes, &dm));
1111:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1112:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1113:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1114:   }

1116:   flg = PETSC_FALSE;
1117:   PetscCall(PetscOptionsBool("-snes_mf_operator", "Use a Matrix-Free Jacobian with user-provided matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf_operator, &flg));
1118:   if (flg && snes->mf_operator) {
1119:     snes->mf_operator = PETSC_TRUE;
1120:     snes->mf          = PETSC_TRUE;
1121:   }
1122:   flg = PETSC_FALSE;
1123:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1124:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1125:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1127:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1128:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1130:   flg = PETSC_FALSE;
1131:   PetscCall(SNESGetNPCSide(snes, &pcside));
1132:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1133:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1135: #if defined(PETSC_HAVE_SAWS)
1136:   /*
1137:     Publish convergence information using SAWs
1138:   */
1139:   flg = PETSC_FALSE;
1140:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1141:   if (flg) {
1142:     void *ctx;
1143:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1144:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1145:   }
1146: #endif
1147: #if defined(PETSC_HAVE_SAWS)
1148:   {
1149:     PetscBool set;
1150:     flg = PETSC_FALSE;
1151:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1152:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1153:   }
1154: #endif

1156:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1158:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1160:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1161:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1162:   PetscOptionsEnd();

1164:   if (snes->linesearch) {
1165:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1166:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1167:   }

1169:   if (snes->usesksp) {
1170:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1171:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1172:     PetscCall(KSPSetFromOptions(snes->ksp));
1173:   }

1175:   /* if user has set the SNES NPC type via options database, create it. */
1176:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1177:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1178:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1179:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1180:   snes->setfromoptionscalled++;
1181:   PetscFunctionReturn(PETSC_SUCCESS);
1182: }

1184: /*@
1185:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1187:   Collective

1189:   Input Parameter:
1190: . snes - the `SNES` context

1192:   Level: advanced

1194: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1195: @*/
1196: PetscErrorCode SNESResetFromOptions(SNES snes)
1197: {
1198:   PetscFunctionBegin;
1199:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1200:   PetscFunctionReturn(PETSC_SUCCESS);
1201: }

1203: /*@C
1204:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1205:   the nonlinear solvers.

1207:   Logically Collective; No Fortran Support

1209:   Input Parameters:
1210: + snes    - the `SNES` context
1211: . compute - function to compute the context
1212: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1214:   Calling sequence of `compute`:
1215: + snes - the `SNES` context
1216: - ctx  - context to be computed

1218:   Level: intermediate

1220:   Note:
1221:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1223:   Use `SNESSetApplicationContext()` to see the context immediately

1225: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1226: @*/
1227: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, void **ctx), PetscCtxDestroyFn *destroy)
1228: {
1229:   PetscFunctionBegin;
1231:   snes->ops->usercompute = compute;
1232:   snes->ops->ctxdestroy  = destroy;
1233:   PetscFunctionReturn(PETSC_SUCCESS);
1234: }

1236: /*@
1237:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1239:   Logically Collective

1241:   Input Parameters:
1242: + snes - the `SNES` context
1243: - ctx  - the user context

1245:   Level: intermediate

1247:   Notes:
1248:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1249:   with `SNESGetApplicationContext()`

1251:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1253:   Fortran Note:
1254:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1255:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1256:   an example.

1258: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1259: @*/
1260: PetscErrorCode SNESSetApplicationContext(SNES snes, void *ctx)
1261: {
1262:   KSP ksp;

1264:   PetscFunctionBegin;
1266:   PetscCall(SNESGetKSP(snes, &ksp));
1267:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1268:   snes->ctx = ctx;
1269:   PetscFunctionReturn(PETSC_SUCCESS);
1270: }

1272: /*@
1273:   SNESGetApplicationContext - Gets the user-defined context for the
1274:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1276:   Not Collective

1278:   Input Parameter:
1279: . snes - `SNES` context

1281:   Output Parameter:
1282: . ctx - user context

1284:   Level: intermediate

1286:   Fortran Notes:
1287:   This only works when the context is a Fortran derived type (it cannot be a `PetscObject`) and you **must** write a Fortran interface definition for this
1288:   function that tells the Fortran compiler the derived data type that is returned as the `ctx` argument. For example,
1289: .vb
1290:   Interface SNESGetApplicationContext
1291:     Subroutine SNESGetApplicationContext(snes,ctx,ierr)
1292:   #include <petsc/finclude/petscsnes.h>
1293:       use petscsnes
1294:       SNES snes
1295:       type(tUsertype), pointer :: ctx
1296:       PetscErrorCode ierr
1297:     End Subroutine
1298:   End Interface SNESGetApplicationContext
1299: .ve

1301:   The prototype for `ctx` must be
1302: .vb
1303:   type(tUsertype), pointer :: ctx
1304: .ve

1306: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1307: @*/
1308: PetscErrorCode SNESGetApplicationContext(SNES snes, PeCtx ctx)
1309: {
1310:   PetscFunctionBegin;
1312:   *(void **)ctx = snes->ctx;
1313:   PetscFunctionReturn(PETSC_SUCCESS);
1314: }

1316: /*@
1317:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1319:   Logically Collective

1321:   Input Parameters:
1322: + snes        - `SNES` context
1323: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1324: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored. With
1325:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1327:   Options Database Keys:
1328: + -snes_mf_operator - use matrix-free only for the mat operator
1329: . -snes_mf          - use matrix-free for both the mat and pmat operator
1330: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1331: - -snes_fd          - compute the Jacobian via finite differences (slow)

1333:   Level: intermediate

1335:   Note:
1336:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1337:   and computing explicitly with
1338:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1340: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1341: @*/
1342: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1343: {
1344:   PetscFunctionBegin;
1348:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1349:   snes->mf_operator = mf_operator;
1350:   PetscFunctionReturn(PETSC_SUCCESS);
1351: }

1353: /*@
1354:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1356:   Not Collective, but the resulting flags will be the same on all MPI processes

1358:   Input Parameter:
1359: . snes - `SNES` context

1361:   Output Parameters:
1362: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1363: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1365:   Level: intermediate

1367: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1368: @*/
1369: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1370: {
1371:   PetscFunctionBegin;
1373:   if (mf) *mf = snes->mf;
1374:   if (mf_operator) *mf_operator = snes->mf_operator;
1375:   PetscFunctionReturn(PETSC_SUCCESS);
1376: }

1378: /*@
1379:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1381:   Not Collective

1383:   Input Parameter:
1384: . snes - `SNES` context

1386:   Output Parameter:
1387: . iter - iteration number

1389:   Level: intermediate

1391:   Notes:
1392:   For example, during the computation of iteration 2 this would return 1.

1394:   This is useful for using lagged Jacobians (where one does not recompute the
1395:   Jacobian at each `SNES` iteration). For example, the code
1396: .vb
1397:       ierr = SNESGetIterationNumber(snes,&it);
1398:       if (!(it % 2)) {
1399:         [compute Jacobian here]
1400:       }
1401: .ve
1402:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1403:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1405:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1407: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1408: @*/
1409: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1410: {
1411:   PetscFunctionBegin;
1413:   PetscAssertPointer(iter, 2);
1414:   *iter = snes->iter;
1415:   PetscFunctionReturn(PETSC_SUCCESS);
1416: }

1418: /*@
1419:   SNESSetIterationNumber - Sets the current iteration number.

1421:   Not Collective

1423:   Input Parameters:
1424: + snes - `SNES` context
1425: - iter - iteration number

1427:   Level: developer

1429:   Note:
1430:   This should only be called inside a `SNES` nonlinear solver.

1432: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1433: @*/
1434: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1435: {
1436:   PetscFunctionBegin;
1438:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1439:   snes->iter = iter;
1440:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1441:   PetscFunctionReturn(PETSC_SUCCESS);
1442: }

1444: /*@
1445:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1446:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1448:   Not Collective

1450:   Input Parameter:
1451: . snes - `SNES` context

1453:   Output Parameter:
1454: . nfails - number of unsuccessful steps attempted

1456:   Level: intermediate

1458:   Notes:
1459:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1460:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1462:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1463:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1465:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1467:   This counter is reset to zero for each successive call to `SNESSolve()`.

1469: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1470:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1471: @*/
1472: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1473: {
1474:   PetscFunctionBegin;
1476:   PetscAssertPointer(nfails, 2);
1477:   *nfails = snes->numFailures;
1478:   PetscFunctionReturn(PETSC_SUCCESS);
1479: }

1481: /*@
1482:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1483:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1485:   Not Collective

1487:   Input Parameters:
1488: + snes     - `SNES` context
1489: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1491:   Options Database Key:
1492: . -snes_max_fail <n> - maximum number of unsuccessful steps allowed

1494:   Level: intermediate

1496:   Note:
1497:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1498:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1500:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1501:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1503:   Developer Note:
1504:   The options database key is wrong for this function name

1506: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1507:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1508: @*/
1509: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1510: {
1511:   PetscFunctionBegin;

1514:   if (maxFails == PETSC_UNLIMITED) {
1515:     snes->maxFailures = PETSC_INT_MAX;
1516:   } else {
1517:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1518:     snes->maxFailures = maxFails;
1519:   }
1520:   PetscFunctionReturn(PETSC_SUCCESS);
1521: }

1523: /*@
1524:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1525:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1527:   Not Collective

1529:   Input Parameter:
1530: . snes - `SNES` context

1532:   Output Parameter:
1533: . maxFails - maximum of unsuccessful steps

1535:   Level: intermediate

1537: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1538:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1539: @*/
1540: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1541: {
1542:   PetscFunctionBegin;
1544:   PetscAssertPointer(maxFails, 2);
1545:   *maxFails = snes->maxFailures;
1546:   PetscFunctionReturn(PETSC_SUCCESS);
1547: }

1549: /*@
1550:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1551:   done by the `SNES` object in the current or most recent `SNESSolve()`

1553:   Not Collective

1555:   Input Parameter:
1556: . snes - `SNES` context

1558:   Output Parameter:
1559: . nfuncs - number of evaluations

1561:   Level: intermediate

1563:   Note:
1564:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1566: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1567: @*/
1568: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1569: {
1570:   PetscFunctionBegin;
1572:   PetscAssertPointer(nfuncs, 2);
1573:   *nfuncs = snes->nfuncs;
1574:   PetscFunctionReturn(PETSC_SUCCESS);
1575: }

1577: /*@
1578:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1579:   linear solvers in the current or most recent `SNESSolve()`

1581:   Not Collective

1583:   Input Parameter:
1584: . snes - `SNES` context

1586:   Output Parameter:
1587: . nfails - number of failed solves

1589:   Options Database Key:
1590: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1592:   Level: intermediate

1594:   Note:
1595:   This counter is reset to zero for each successive call to `SNESSolve()`.

1597: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1598: @*/
1599: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1600: {
1601:   PetscFunctionBegin;
1603:   PetscAssertPointer(nfails, 2);
1604:   *nfails = snes->numLinearSolveFailures;
1605:   PetscFunctionReturn(PETSC_SUCCESS);
1606: }

1608: /*@
1609:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1610:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1612:   Logically Collective

1614:   Input Parameters:
1615: + snes     - `SNES` context
1616: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1618:   Options Database Key:
1619: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1621:   Level: intermediate

1623:   Note:
1624:   By default this is 0; that is `SNES` returns on the first failed linear solve

1626:   Developer Note:
1627:   The options database key is wrong for this function name

1629: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1630: @*/
1631: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1632: {
1633:   PetscFunctionBegin;

1637:   if (maxFails == PETSC_UNLIMITED) {
1638:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1639:   } else {
1640:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1641:     snes->maxLinearSolveFailures = maxFails;
1642:   }
1643:   PetscFunctionReturn(PETSC_SUCCESS);
1644: }

1646: /*@
1647:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1648:   are allowed before `SNES` returns as unsuccessful

1650:   Not Collective

1652:   Input Parameter:
1653: . snes - `SNES` context

1655:   Output Parameter:
1656: . maxFails - maximum of unsuccessful solves allowed

1658:   Level: intermediate

1660:   Note:
1661:   By default this is 1; that is `SNES` returns on the first failed linear solve

1663: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1664: @*/
1665: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1666: {
1667:   PetscFunctionBegin;
1669:   PetscAssertPointer(maxFails, 2);
1670:   *maxFails = snes->maxLinearSolveFailures;
1671:   PetscFunctionReturn(PETSC_SUCCESS);
1672: }

1674: /*@
1675:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1676:   used by the nonlinear solver in the most recent `SNESSolve()`

1678:   Not Collective

1680:   Input Parameter:
1681: . snes - `SNES` context

1683:   Output Parameter:
1684: . lits - number of linear iterations

1686:   Level: intermediate

1688:   Notes:
1689:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1691:   If the linear solver fails inside the `SNESSolve()` the iterations for that call to the linear solver are not included. If you wish to count them
1692:   then call `KSPGetIterationNumber()` after the failed solve.

1694: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1695: @*/
1696: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1697: {
1698:   PetscFunctionBegin;
1700:   PetscAssertPointer(lits, 2);
1701:   *lits = snes->linear_its;
1702:   PetscFunctionReturn(PETSC_SUCCESS);
1703: }

1705: /*@
1706:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1707:   are reset every time `SNESSolve()` is called.

1709:   Logically Collective

1711:   Input Parameters:
1712: + snes  - `SNES` context
1713: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1715:   Level: developer

1717: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1718: @*/
1719: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1720: {
1721:   PetscFunctionBegin;
1724:   snes->counters_reset = reset;
1725:   PetscFunctionReturn(PETSC_SUCCESS);
1726: }

1728: /*@
1729:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1731:   Logically Collective

1733:   Input Parameters:
1734: . snes - `SNES` context

1736:   Level: developer

1738:   Note:
1739:   It honors the flag set with `SNESSetCountersReset()`

1741: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1742: @*/
1743: PetscErrorCode SNESResetCounters(SNES snes)
1744: {
1745:   PetscFunctionBegin;
1747:   if (snes->counters_reset) {
1748:     snes->nfuncs      = 0;
1749:     snes->linear_its  = 0;
1750:     snes->numFailures = 0;
1751:   }
1752:   PetscFunctionReturn(PETSC_SUCCESS);
1753: }

1755: /*@
1756:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1758:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1760:   Input Parameters:
1761: + snes - the `SNES` context
1762: - ksp  - the `KSP` context

1764:   Level: developer

1766:   Notes:
1767:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1768:   so this routine is rarely needed.

1770:   The `KSP` object that is already in the `SNES` object has its reference count
1771:   decreased by one when this is called.

1773: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1774: @*/
1775: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1776: {
1777:   PetscFunctionBegin;
1780:   PetscCheckSameComm(snes, 1, ksp, 2);
1781:   PetscCall(PetscObjectReference((PetscObject)ksp));
1782:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1783:   snes->ksp = ksp;
1784:   PetscFunctionReturn(PETSC_SUCCESS);
1785: }

1787: /*@
1788:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1789:   currently contain default values

1791:   Collective

1793:   Input Parameter:
1794: . snes - the `SNES` object

1796:   Level: developer

1798:   Developer Note:
1799:   This is called by all the `SNESCreate_XXX()` routines.

1801: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1802:           `PetscObjectParameterSetDefault()`
1803: @*/
1804: PetscErrorCode SNESParametersInitialize(SNES snes)
1805: {
1806:   PetscObjectParameterSetDefault(snes, max_its, 50);
1807:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1808:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1809:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1810:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1811:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1812:   return PETSC_SUCCESS;
1813: }

1815: /*@
1816:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1818:   Collective

1820:   Input Parameter:
1821: . comm - MPI communicator

1823:   Output Parameter:
1824: . outsnes - the new `SNES` context

1826:   Options Database Keys:
1827: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1828: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1829: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1830: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1832:   Level: beginner

1834:   Developer Notes:
1835:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1836:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1837:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1838:   in `SNESView()`.

1840:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1841:   by help messages about meaningless `SNES` options.

1843:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1845: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1846: @*/
1847: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1848: {
1849:   SNES       snes;
1850:   SNESKSPEW *kctx;

1852:   PetscFunctionBegin;
1853:   PetscAssertPointer(outsnes, 2);
1854:   PetscCall(SNESInitializePackage());

1856:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1857:   snes->ops->converged = SNESConvergedDefault;
1858:   snes->usesksp        = PETSC_TRUE;
1859:   snes->norm           = 0.0;
1860:   snes->xnorm          = 0.0;
1861:   snes->ynorm          = 0.0;
1862:   snes->normschedule   = SNES_NORM_ALWAYS;
1863:   snes->functype       = SNES_FUNCTION_DEFAULT;
1864:   snes->ttol           = 0.0;

1866:   snes->rnorm0               = 0;
1867:   snes->nfuncs               = 0;
1868:   snes->numFailures          = 0;
1869:   snes->maxFailures          = 1;
1870:   snes->linear_its           = 0;
1871:   snes->lagjacobian          = 1;
1872:   snes->jac_iter             = 0;
1873:   snes->lagjac_persist       = PETSC_FALSE;
1874:   snes->lagpreconditioner    = 1;
1875:   snes->pre_iter             = 0;
1876:   snes->lagpre_persist       = PETSC_FALSE;
1877:   snes->numbermonitors       = 0;
1878:   snes->numberreasonviews    = 0;
1879:   snes->data                 = NULL;
1880:   snes->setupcalled          = PETSC_FALSE;
1881:   snes->ksp_ewconv           = PETSC_FALSE;
1882:   snes->nwork                = 0;
1883:   snes->work                 = NULL;
1884:   snes->nvwork               = 0;
1885:   snes->vwork                = NULL;
1886:   snes->conv_hist_len        = 0;
1887:   snes->conv_hist_max        = 0;
1888:   snes->conv_hist            = NULL;
1889:   snes->conv_hist_its        = NULL;
1890:   snes->conv_hist_reset      = PETSC_TRUE;
1891:   snes->counters_reset       = PETSC_TRUE;
1892:   snes->vec_func_init_set    = PETSC_FALSE;
1893:   snes->reason               = SNES_CONVERGED_ITERATING;
1894:   snes->npcside              = PC_RIGHT;
1895:   snes->setfromoptionscalled = 0;

1897:   snes->mf          = PETSC_FALSE;
1898:   snes->mf_operator = PETSC_FALSE;
1899:   snes->mf_version  = 1;

1901:   snes->numLinearSolveFailures = 0;
1902:   snes->maxLinearSolveFailures = 1;

1904:   snes->vizerotolerance     = 1.e-8;
1905:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1907:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1908:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1910:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1911:   PetscCall(PetscNew(&kctx));

1913:   snes->kspconvctx  = kctx;
1914:   kctx->version     = 2;
1915:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1916:                              this was too large for some test cases */
1917:   kctx->rtol_last   = 0.0;
1918:   kctx->rtol_max    = 0.9;
1919:   kctx->gamma       = 1.0;
1920:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1921:   kctx->alpha2      = kctx->alpha;
1922:   kctx->threshold   = 0.1;
1923:   kctx->lresid_last = 0.0;
1924:   kctx->norm_last   = 0.0;

1926:   kctx->rk_last     = 0.0;
1927:   kctx->rk_last_2   = 0.0;
1928:   kctx->rtol_last_2 = 0.0;
1929:   kctx->v4_p1       = 0.1;
1930:   kctx->v4_p2       = 0.4;
1931:   kctx->v4_p3       = 0.7;
1932:   kctx->v4_m1       = 0.8;
1933:   kctx->v4_m2       = 0.5;
1934:   kctx->v4_m3       = 0.1;
1935:   kctx->v4_m4       = 0.5;

1937:   PetscCall(SNESParametersInitialize(snes));
1938:   *outsnes = snes;
1939:   PetscFunctionReturn(PETSC_SUCCESS);
1940: }

1942: /*@C
1943:   SNESSetFunction - Sets the function evaluation routine and function
1944:   vector for use by the `SNES` routines in solving systems of nonlinear
1945:   equations.

1947:   Logically Collective

1949:   Input Parameters:
1950: + snes - the `SNES` context
1951: . r    - vector to store function values, may be `NULL`
1952: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1953: - ctx  - [optional] user-defined context for private data for the
1954:          function evaluation routine (may be `NULL`)

1956:   Level: beginner

1958: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1959: @*/
1960: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, void *ctx)
1961: {
1962:   DM dm;

1964:   PetscFunctionBegin;
1966:   if (r) {
1968:     PetscCheckSameComm(snes, 1, r, 2);
1969:     PetscCall(PetscObjectReference((PetscObject)r));
1970:     PetscCall(VecDestroy(&snes->vec_func));
1971:     snes->vec_func = r;
1972:   }
1973:   PetscCall(SNESGetDM(snes, &dm));
1974:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1975:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1976:   PetscFunctionReturn(PETSC_SUCCESS);
1977: }

1979: /*@C
1980:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1982:   Logically Collective

1984:   Input Parameters:
1985: + snes - the `SNES` context
1986: - f    - vector to store function value

1988:   Level: developer

1990:   Notes:
1991:   This should not be modified during the solution procedure.

1993:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1995: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1996: @*/
1997: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1998: {
1999:   Vec vec_func;

2001:   PetscFunctionBegin;
2004:   PetscCheckSameComm(snes, 1, f, 2);
2005:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
2006:     snes->vec_func_init_set = PETSC_FALSE;
2007:     PetscFunctionReturn(PETSC_SUCCESS);
2008:   }
2009:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
2010:   PetscCall(VecCopy(f, vec_func));

2012:   snes->vec_func_init_set = PETSC_TRUE;
2013:   PetscFunctionReturn(PETSC_SUCCESS);
2014: }

2016: /*@
2017:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2018:   of the `SNES` method, when norms are computed in the solving process

2020:   Logically Collective

2022:   Input Parameters:
2023: + snes         - the `SNES` context
2024: - normschedule - the frequency of norm computation

2026:   Options Database Key:
2027: . -snes_norm_schedule <none, always, initialonly, finalonly, initialfinalonly> - set the schedule

2029:   Level: advanced

2031:   Notes:
2032:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2033:   of the nonlinear function and the taking of its norm at every iteration to
2034:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2035:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2036:   may either be monitored for convergence or not.  As these are often used as nonlinear
2037:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2038:   their solution.

2040: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2041: @*/
2042: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2043: {
2044:   PetscFunctionBegin;
2046:   snes->normschedule = normschedule;
2047:   PetscFunctionReturn(PETSC_SUCCESS);
2048: }

2050: /*@
2051:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2052:   of the `SNES` method.

2054:   Logically Collective

2056:   Input Parameters:
2057: + snes         - the `SNES` context
2058: - normschedule - the type of the norm used

2060:   Level: advanced

2062: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2063: @*/
2064: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2065: {
2066:   PetscFunctionBegin;
2068:   *normschedule = snes->normschedule;
2069:   PetscFunctionReturn(PETSC_SUCCESS);
2070: }

2072: /*@
2073:   SNESSetFunctionNorm - Sets the last computed residual norm.

2075:   Logically Collective

2077:   Input Parameters:
2078: + snes - the `SNES` context
2079: - norm - the value of the norm

2081:   Level: developer

2083: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2084: @*/
2085: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2086: {
2087:   PetscFunctionBegin;
2089:   snes->norm = norm;
2090:   PetscFunctionReturn(PETSC_SUCCESS);
2091: }

2093: /*@
2094:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2096:   Not Collective

2098:   Input Parameter:
2099: . snes - the `SNES` context

2101:   Output Parameter:
2102: . norm - the last computed residual norm

2104:   Level: developer

2106: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2107: @*/
2108: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2109: {
2110:   PetscFunctionBegin;
2112:   PetscAssertPointer(norm, 2);
2113:   *norm = snes->norm;
2114:   PetscFunctionReturn(PETSC_SUCCESS);
2115: }

2117: /*@
2118:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2120:   Not Collective

2122:   Input Parameter:
2123: . snes - the `SNES` context

2125:   Output Parameter:
2126: . ynorm - the last computed update norm

2128:   Level: developer

2130:   Note:
2131:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2133: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2134: @*/
2135: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2136: {
2137:   PetscFunctionBegin;
2139:   PetscAssertPointer(ynorm, 2);
2140:   *ynorm = snes->ynorm;
2141:   PetscFunctionReturn(PETSC_SUCCESS);
2142: }

2144: /*@
2145:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2147:   Not Collective

2149:   Input Parameter:
2150: . snes - the `SNES` context

2152:   Output Parameter:
2153: . xnorm - the last computed solution norm

2155:   Level: developer

2157: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2158: @*/
2159: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2160: {
2161:   PetscFunctionBegin;
2163:   PetscAssertPointer(xnorm, 2);
2164:   *xnorm = snes->xnorm;
2165:   PetscFunctionReturn(PETSC_SUCCESS);
2166: }

2168: /*@
2169:   SNESSetFunctionType - Sets the `SNESFunctionType`
2170:   of the `SNES` method.

2172:   Logically Collective

2174:   Input Parameters:
2175: + snes - the `SNES` context
2176: - type - the function type

2178:   Level: developer

2180:   Values of the function type\:
2181: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2182: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2183: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2185:   Note:
2186:   Different `SNESType`s use this value in different ways

2188: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2189: @*/
2190: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2191: {
2192:   PetscFunctionBegin;
2194:   snes->functype = type;
2195:   PetscFunctionReturn(PETSC_SUCCESS);
2196: }

2198: /*@
2199:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2200:   of the SNES method.

2202:   Logically Collective

2204:   Input Parameters:
2205: + snes - the `SNES` context
2206: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2208:   Level: advanced

2210: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2211: @*/
2212: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2213: {
2214:   PetscFunctionBegin;
2216:   *type = snes->functype;
2217:   PetscFunctionReturn(PETSC_SUCCESS);
2218: }

2220: /*@C
2221:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2222:   use with composed nonlinear solvers.

2224:   Input Parameters:
2225: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2226: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2227: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2229:   Level: intermediate

2231:   Note:
2232:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2233:   a problem appropriate update to the solution, particularly `SNESFAS`.

2235: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2236: @*/
2237: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, void *ctx)
2238: {
2239:   DM dm;

2241:   PetscFunctionBegin;
2243:   PetscCall(SNESGetDM(snes, &dm));
2244:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2245:   PetscFunctionReturn(PETSC_SUCCESS);
2246: }

2248: /*
2249:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2250:    changed during the KSPSolve()
2251: */
2252: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, void *ctx)
2253: {
2254:   DM     dm;
2255:   DMSNES sdm;

2257:   PetscFunctionBegin;
2258:   PetscCall(SNESGetDM(snes, &dm));
2259:   PetscCall(DMGetDMSNES(dm, &sdm));
2260:   /*  A(x)*x - b(x) */
2261:   if (sdm->ops->computepfunction) {
2262:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2263:     PetscCall(VecScale(f, -1.0));
2264:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2265:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2266:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2267:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2268:   } else {
2269:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2270:     PetscCall(MatMult(snes->picard, x, f));
2271:   }
2272:   PetscFunctionReturn(PETSC_SUCCESS);
2273: }

2275: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, void *ctx)
2276: {
2277:   DM     dm;
2278:   DMSNES sdm;

2280:   PetscFunctionBegin;
2281:   PetscCall(SNESGetDM(snes, &dm));
2282:   PetscCall(DMGetDMSNES(dm, &sdm));
2283:   /*  A(x)*x - b(x) */
2284:   if (sdm->ops->computepfunction) {
2285:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2286:     PetscCall(VecScale(f, -1.0));
2287:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2288:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2289:   } else {
2290:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2291:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2292:   }
2293:   PetscFunctionReturn(PETSC_SUCCESS);
2294: }

2296: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, void *ctx)
2297: {
2298:   PetscFunctionBegin;
2299:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2300:   /* must assembly if matrix-free to get the last SNES solution */
2301:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2302:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2303:   PetscFunctionReturn(PETSC_SUCCESS);
2304: }

2306: /*@C
2307:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2309:   Logically Collective

2311:   Input Parameters:
2312: + snes - the `SNES` context
2313: . r    - vector to store function values, may be `NULL`
2314: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2315: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2316: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2317: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2318: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2320:   Level: intermediate

2322:   Notes:
2323:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2324:   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.

2326:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2328:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2329:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2331:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2333:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2334:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2336:   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
2337:   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
2338:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2340:   When used with `-snes_mf_operator` this will run matrix-free Newton's method where the matrix-vector product is of the true Jacobian of $A(x)x - bp(x) - b$ and
2341:   $A(x^{n})$ is used to build the preconditioner

2343:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2345:   When used with `-snes_fd_coloring` this will compute the Jacobian via coloring and thus represent a faster implementation of Newton's method. But the
2346:   the nonzero structure of the Jacobian is, in general larger than that of the Picard matrix $A$ so you must provide in $A$ the needed nonzero structure for the correct
2347:   coloring. When using `DMDA` this may mean creating the matrix $A$ with `DMCreateMatrix()` using a wider stencil than strictly needed for $A$ or with a `DMDA_STENCIL_BOX`.
2348:   See the comment in src/snes/tutorials/ex15.c.

2350: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2351:           `SNESFunctionFn`, `SNESJacobianFn`
2352: @*/
2353: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
2354: {
2355:   DM dm;

2357:   PetscFunctionBegin;
2359:   PetscCall(SNESGetDM(snes, &dm));
2360:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2361:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2362:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2363:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2364:   PetscFunctionReturn(PETSC_SUCCESS);
2365: }

2367: /*@C
2368:   SNESGetPicard - Returns the context for the Picard iteration

2370:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2372:   Input Parameter:
2373: . snes - the `SNES` context

2375:   Output Parameters:
2376: + r    - the function (or `NULL`)
2377: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2378: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2379: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2380: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2381: - ctx  - the function context (or `NULL`)

2383:   Level: advanced

2385: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2386: @*/
2387: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
2388: {
2389:   DM dm;

2391:   PetscFunctionBegin;
2393:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2394:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2395:   PetscCall(SNESGetDM(snes, &dm));
2396:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2397:   PetscFunctionReturn(PETSC_SUCCESS);
2398: }

2400: /*@C
2401:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2403:   Logically Collective

2405:   Input Parameters:
2406: + snes - the `SNES` context
2407: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2408: - ctx  - [optional] user-defined context for private data for the
2409:          function evaluation routine (may be `NULL`)

2411:   Level: intermediate

2413: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2414: @*/
2415: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, void *ctx)
2416: {
2417:   PetscFunctionBegin;
2419:   if (func) snes->ops->computeinitialguess = func;
2420:   if (ctx) snes->initialguessP = ctx;
2421:   PetscFunctionReturn(PETSC_SUCCESS);
2422: }

2424: /*@C
2425:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2426:   it assumes a zero right-hand side.

2428:   Logically Collective

2430:   Input Parameter:
2431: . snes - the `SNES` context

2433:   Output Parameter:
2434: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2436:   Level: intermediate

2438: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2439: @*/
2440: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2441: {
2442:   PetscFunctionBegin;
2444:   PetscAssertPointer(rhs, 2);
2445:   *rhs = snes->vec_rhs;
2446:   PetscFunctionReturn(PETSC_SUCCESS);
2447: }

2449: /*@
2450:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2452:   Collective

2454:   Input Parameters:
2455: + snes - the `SNES` context
2456: - x    - input vector

2458:   Output Parameter:
2459: . f - function vector, as set by `SNESSetFunction()`

2461:   Level: developer

2463:   Notes:
2464:   `SNESComputeFunction()` is typically used within nonlinear solvers
2465:   implementations, so users would not generally call this routine themselves.

2467:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2469:   This function usually appears in the pattern.
2470: .vb
2471:   SNESComputeFunction(snes, x, f);
2472:   VecNorm(f, &fnorm);
2473:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2474: .ve
2475:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2477: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2478: @*/
2479: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2480: {
2481:   DM     dm;
2482:   DMSNES sdm;

2484:   PetscFunctionBegin;
2488:   PetscCheckSameComm(snes, 1, x, 2);
2489:   PetscCheckSameComm(snes, 1, f, 3);
2490:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2492:   PetscCall(SNESGetDM(snes, &dm));
2493:   PetscCall(DMGetDMSNES(dm, &sdm));
2494:   PetscCheck(sdm->ops->computefunction || snes->vec_rhs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetFunction() or SNESSetDM() before SNESComputeFunction(), likely called from SNESSolve().");
2495:   if (sdm->ops->computefunction) {
2496:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2497:     PetscCall(VecLockReadPush(x));
2498:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2499:     snes->functiondomainerror = PETSC_FALSE;
2500:     {
2501:       void           *ctx;
2502:       SNESFunctionFn *computefunction;
2503:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2504:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2505:     }
2506:     PetscCall(VecLockReadPop(x));
2507:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2508:   } else /* if (snes->vec_rhs) */ {
2509:     PetscCall(MatMult(snes->jacobian, x, f));
2510:   }
2511:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2512:   snes->nfuncs++;
2513:   /*
2514:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2515:      propagate the value to all processes
2516:   */
2517:   PetscCall(VecFlag(f, snes->functiondomainerror));
2518:   PetscFunctionReturn(PETSC_SUCCESS);
2519: }

2521: /*@
2522:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2524:   Collective

2526:   Input Parameters:
2527: + snes - the `SNES` context
2528: - x    - input vector

2530:   Output Parameter:
2531: . y - output vector

2533:   Level: developer

2535:   Notes:
2536:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2537:   so users would not generally call this routine themselves.

2539:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2540:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2541:   same function as `SNESComputeFunction()` if a `SNESSolve()` right-hand side vector is use because the two functions difference would include this right hand side function.

2543: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2544: @*/
2545: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2546: {
2547:   DM     dm;
2548:   DMSNES sdm;

2550:   PetscFunctionBegin;
2554:   PetscCheckSameComm(snes, 1, x, 2);
2555:   PetscCheckSameComm(snes, 1, y, 3);
2556:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2558:   PetscCall(SNESGetDM(snes, &dm));
2559:   PetscCall(DMGetDMSNES(dm, &sdm));
2560:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2561:   PetscCall(VecLockReadPush(x));
2562:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2563:   snes->functiondomainerror = PETSC_FALSE;
2564:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2565:   PetscCall(VecLockReadPop(x));
2566:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2567:   snes->nfuncs++;
2568:   /*
2569:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2570:      propagate the value to all processes
2571:   */
2572:   PetscCall(VecFlag(y, snes->functiondomainerror));
2573:   PetscFunctionReturn(PETSC_SUCCESS);
2574: }

2576: /*@
2577:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2579:   Collective

2581:   Input Parameters:
2582: + snes - the `SNES` context
2583: . x    - input vector
2584: - b    - rhs vector

2586:   Output Parameter:
2587: . x - new solution vector

2589:   Level: developer

2591:   Note:
2592:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2593:   implementations, so most users would not generally call this routine
2594:   themselves.

2596: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2597: @*/
2598: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2599: {
2600:   DM     dm;
2601:   DMSNES sdm;

2603:   PetscFunctionBegin;
2607:   PetscCheckSameComm(snes, 1, x, 3);
2608:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2609:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2610:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2611:   PetscCall(SNESGetDM(snes, &dm));
2612:   PetscCall(DMGetDMSNES(dm, &sdm));
2613:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2614:   if (b) PetscCall(VecLockReadPush(b));
2615:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2616:   if (b) PetscCall(VecLockReadPop(b));
2617:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2618:   PetscFunctionReturn(PETSC_SUCCESS);
2619: }

2621: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2622: {
2623:   Vec          X;
2624:   PetscScalar *g;
2625:   PetscReal    f, f2;
2626:   PetscInt     low, high, N, i;
2627:   PetscBool    flg;
2628:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2630:   PetscFunctionBegin;
2631:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2632:   PetscCall(VecDuplicate(Xin, &X));
2633:   PetscCall(VecCopy(Xin, X));
2634:   PetscCall(VecGetSize(X, &N));
2635:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2636:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2637:   PetscCall(VecGetArray(G, &g));
2638:   for (i = 0; i < N; i++) {
2639:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2640:     PetscCall(VecAssemblyBegin(X));
2641:     PetscCall(VecAssemblyEnd(X));
2642:     PetscCall(SNESComputeObjective(snes, X, &f));
2643:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2644:     PetscCall(VecAssemblyBegin(X));
2645:     PetscCall(VecAssemblyEnd(X));
2646:     PetscCall(SNESComputeObjective(snes, X, &f2));
2647:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2648:     PetscCall(VecAssemblyBegin(X));
2649:     PetscCall(VecAssemblyEnd(X));
2650:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2651:   }
2652:   PetscCall(VecRestoreArray(G, &g));
2653:   PetscCall(VecDestroy(&X));
2654:   PetscFunctionReturn(PETSC_SUCCESS);
2655: }

2657: /*@
2658:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2660:   Collective

2662:   Input Parameter:
2663: . snes - the `SNES` context

2665:   Options Database Keys:
2666: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2667: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2669:   Level: developer

2671: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2672: @*/
2673: PetscErrorCode SNESTestFunction(SNES snes)
2674: {
2675:   Vec               x, g1, g2, g3;
2676:   PetscBool         complete_print = PETSC_FALSE;
2677:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2678:   PetscScalar       dot;
2679:   MPI_Comm          comm;
2680:   PetscViewer       viewer, mviewer;
2681:   PetscViewerFormat format;
2682:   PetscInt          tabs;
2683:   static PetscBool  directionsprinted = PETSC_FALSE;
2684:   SNESObjectiveFn  *objective;

2686:   PetscFunctionBegin;
2687:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2688:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2690:   PetscObjectOptionsBegin((PetscObject)snes);
2691:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2692:   PetscOptionsEnd();

2694:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2695:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2696:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2697:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2698:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2699:   if (!complete_print && !directionsprinted) {
2700:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2701:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2702:   }
2703:   if (!directionsprinted) {
2704:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2705:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2706:     directionsprinted = PETSC_TRUE;
2707:   }
2708:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2710:   PetscCall(SNESGetSolution(snes, &x));
2711:   PetscCall(VecDuplicate(x, &g1));
2712:   PetscCall(VecDuplicate(x, &g2));
2713:   PetscCall(VecDuplicate(x, &g3));
2714:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() corrrectly */
2715:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2717:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2718:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2719:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2720:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2721:   PetscCall(VecDot(g1, g2, &dot));
2722:   PetscCall(VecCopy(g1, g3));
2723:   PetscCall(VecAXPY(g3, -1.0, g2));
2724:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2725:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2726:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2727:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2728:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2730:   if (complete_print) {
2731:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2732:     PetscCall(VecView(g1, mviewer));
2733:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2734:     PetscCall(VecView(g2, mviewer));
2735:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2736:     PetscCall(VecView(g3, mviewer));
2737:   }
2738:   PetscCall(VecDestroy(&g1));
2739:   PetscCall(VecDestroy(&g2));
2740:   PetscCall(VecDestroy(&g3));

2742:   if (complete_print) {
2743:     PetscCall(PetscViewerPopFormat(mviewer));
2744:     PetscCall(PetscViewerDestroy(&mviewer));
2745:   }
2746:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2747:   PetscFunctionReturn(PETSC_SUCCESS);
2748: }

2750: /*@
2751:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2753:   Collective

2755:   Input Parameter:
2756: . snes - the `SNES` context

2758:   Output Parameters:
2759: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2760: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2762:   Options Database Keys:
2763: + -snes_test_jacobian <optional threshold> - compare the user provided Jacobian with one compute via finite differences to check for errors.  If a threshold is given, display only those entries whose difference is greater than the threshold.
2764: - -snes_test_jacobian_view                 - display the user provided Jacobian, the finite difference Jacobian and the difference

2766:   Level: developer

2768:   Note:
2769:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2771: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2772: @*/
2773: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2774: {
2775:   Mat               A, B, C, D, jacobian;
2776:   Vec               x = snes->vec_sol, f;
2777:   PetscReal         nrm, gnorm;
2778:   PetscReal         threshold = 1.e-5;
2779:   MatType           mattype;
2780:   PetscInt          m, n, M, N;
2781:   void             *functx;
2782:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2783:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2784:   PetscViewer       viewer, mviewer;
2785:   MPI_Comm          comm;
2786:   PetscInt          tabs;
2787:   static PetscBool  directionsprinted = PETSC_FALSE;
2788:   PetscViewerFormat format;

2790:   PetscFunctionBegin;
2791:   PetscObjectOptionsBegin((PetscObject)snes);
2792:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2793:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2794:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2795:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2796:   PetscCall(PetscOptionsReal("-snes_test_jacobian_display_threshold", "Display difference between hand-coded and finite difference Jacobians which exceed input threshold", "None", threshold, &threshold, &threshold_print));
2797:   PetscOptionsEnd();

2799:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2800:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2801:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2802:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2803:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2804:   if (!complete_print && !silent && !directionsprinted) {
2805:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2806:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2807:   }
2808:   if (!directionsprinted && !silent) {
2809:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2810:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2811:     directionsprinted = PETSC_TRUE;
2812:   }
2813:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2815:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2816:   if (!flg) jacobian = snes->jacobian;
2817:   else jacobian = snes->jacobian_pre;

2819:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2820:   else PetscCall(PetscObjectReference((PetscObject)x));
2821:   PetscCall(VecDuplicate(x, &f));

2823:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2824:   PetscCall(SNESComputeFunction(snes, x, f));
2825:   PetscCall(VecDestroy(&f));
2826:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2827:   while (jacobian) {
2828:     Mat JT = NULL, Jsave = NULL;

2830:     if (istranspose) {
2831:       PetscCall(MatCreateTranspose(jacobian, &JT));
2832:       Jsave    = jacobian;
2833:       jacobian = JT;
2834:     }
2835:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2836:     if (flg) {
2837:       A = jacobian;
2838:       PetscCall(PetscObjectReference((PetscObject)A));
2839:     } else {
2840:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2841:     }

2843:     PetscCall(MatGetType(A, &mattype));
2844:     PetscCall(MatGetSize(A, &M, &N));
2845:     PetscCall(MatGetLocalSize(A, &m, &n));
2846:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2847:     PetscCall(MatSetType(B, mattype));
2848:     PetscCall(MatSetSizes(B, m, n, M, N));
2849:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2850:     PetscCall(MatSetUp(B));
2851:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2853:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2854:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2856:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2857:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2858:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2859:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2860:     PetscCall(MatDestroy(&D));
2861:     if (!gnorm) gnorm = 1; /* just in case */
2862:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2863:     if (complete_print) {
2864:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2865:       PetscCall(MatView(A, mviewer));
2866:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2867:       PetscCall(MatView(B, mviewer));
2868:     }

2870:     if (threshold_print || complete_print) {
2871:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2872:       PetscScalar       *cvals;
2873:       const PetscInt    *bcols;
2874:       const PetscScalar *bvals;

2876:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2877:       PetscCall(MatSetType(C, mattype));
2878:       PetscCall(MatSetSizes(C, m, n, M, N));
2879:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2880:       PetscCall(MatSetUp(C));
2881:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2883:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2884:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2886:       for (row = Istart; row < Iend; row++) {
2887:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2888:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2889:         for (j = 0, cncols = 0; j < bncols; j++) {
2890:           if (PetscAbsScalar(bvals[j]) > threshold) {
2891:             ccols[cncols] = bcols[j];
2892:             cvals[cncols] = bvals[j];
2893:             cncols += 1;
2894:           }
2895:         }
2896:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2897:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2898:         PetscCall(PetscFree2(ccols, cvals));
2899:       }
2900:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2901:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2902:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2903:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2904:       PetscCall(MatDestroy(&C));
2905:     }
2906:     PetscCall(MatDestroy(&A));
2907:     PetscCall(MatDestroy(&B));
2908:     PetscCall(MatDestroy(&JT));
2909:     if (Jsave) jacobian = Jsave;
2910:     if (jacobian != snes->jacobian_pre) {
2911:       jacobian = snes->jacobian_pre;
2912:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2913:     } else jacobian = NULL;
2914:   }
2915:   PetscCall(VecDestroy(&x));
2916:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2917:   if (mviewer) PetscCall(PetscViewerDestroy(&mviewer));
2918:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2920:   if (Jnorm) *Jnorm = gnorm;
2921:   if (diffNorm) *diffNorm = nrm;
2922:   PetscFunctionReturn(PETSC_SUCCESS);
2923: }

2925: /*@
2926:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2928:   Collective

2930:   Input Parameters:
2931: + snes - the `SNES` context
2932: - X    - input vector

2934:   Output Parameters:
2935: + A - Jacobian matrix
2936: - B - optional matrix for building the preconditioner, usually the same as `A`

2938:   Options Database Keys:
2939: + -snes_lag_preconditioner <lag>           - how often to rebuild preconditioner
2940: . -snes_lag_jacobian <lag>                 - how often to rebuild Jacobian
2941: . -snes_test_jacobian <optional threshold> - compare the user provided Jacobian with one compute via finite differences to check for errors.  If a threshold is given, display only those entries whose difference is greater than the threshold.
2942: . -snes_test_jacobian_view                 - display the user provided Jacobian, the finite difference Jacobian and the difference between them to help users detect the location of errors in the user provided Jacobian
2943: . -snes_compare_explicit                   - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2944: . -snes_compare_explicit_draw              - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2945: . -snes_compare_explicit_contour           - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2946: . -snes_compare_operator                   - Make the comparison options above use the operator instead of the matrix used to construct the preconditioner
2947: . -snes_compare_coloring                   - Compute the finite difference Jacobian using coloring and display norms of difference
2948: . -snes_compare_coloring_display           - Compute the finite difference Jacobian using coloring and display verbose differences
2949: . -snes_compare_coloring_threshold         - Display only those matrix entries that differ by more than a given threshold
2950: . -snes_compare_coloring_threshold_atol    - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2951: . -snes_compare_coloring_threshold_rtol    - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2952: . -snes_compare_coloring_draw              - Compute the finite difference Jacobian using coloring and draw differences
2953: - -snes_compare_coloring_draw_contour      - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2955:   Level: developer

2957:   Note:
2958:   Most users should not need to explicitly call this routine, as it
2959:   is used internally within the nonlinear solvers.

2961:   Developer Note:
2962:   This has duplicative ways of checking the accuracy of the user provided Jacobian (see the options above). This is for historical reasons, the routine `SNESTestJacobian()` use to used
2963:   with the `SNESType` of test that has been removed.

2965: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
2966:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
2967: @*/
2968: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2969: {
2970:   PetscBool flag;
2971:   DM        dm;
2972:   DMSNES    sdm;
2973:   KSP       ksp;

2975:   PetscFunctionBegin;
2978:   PetscCheckSameComm(snes, 1, X, 2);
2979:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2980:   PetscCall(SNESGetDM(snes, &dm));
2981:   PetscCall(DMGetDMSNES(dm, &sdm));

2983:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2984:   if (snes->lagjacobian == -2) {
2985:     snes->lagjacobian = -1;

2987:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2988:   } else if (snes->lagjacobian == -1) {
2989:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2990:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2991:     if (flag) {
2992:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2993:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2994:     }
2995:     PetscFunctionReturn(PETSC_SUCCESS);
2996:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2997:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2998:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2999:     if (flag) {
3000:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3001:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3002:     }
3003:     PetscFunctionReturn(PETSC_SUCCESS);
3004:   }
3005:   if (snes->npc && snes->npcside == PC_LEFT) {
3006:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3007:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3008:     PetscFunctionReturn(PETSC_SUCCESS);
3009:   }

3011:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
3012:   PetscCall(VecLockReadPush(X));
3013:   {
3014:     void           *ctx;
3015:     SNESJacobianFn *J;
3016:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3017:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3018:   }
3019:   PetscCall(VecLockReadPop(X));
3020:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3022:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3023:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3025:   /* the next line ensures that snes->ksp exists */
3026:   PetscCall(SNESGetKSP(snes, &ksp));
3027:   if (snes->lagpreconditioner == -2) {
3028:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3029:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3030:     snes->lagpreconditioner = -1;
3031:   } else if (snes->lagpreconditioner == -1) {
3032:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3033:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3034:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3035:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3036:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3037:   } else {
3038:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3039:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3040:   }

3042:   /* monkey business to allow testing Jacobians in multilevel solvers.
3043:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3044:   {
3045:     Vec xsave            = snes->vec_sol;
3046:     Mat jacobiansave     = snes->jacobian;
3047:     Mat jacobian_presave = snes->jacobian_pre;

3049:     snes->vec_sol      = X;
3050:     snes->jacobian     = A;
3051:     snes->jacobian_pre = B;
3052:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3053:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3055:     snes->vec_sol      = xsave;
3056:     snes->jacobian     = jacobiansave;
3057:     snes->jacobian_pre = jacobian_presave;
3058:   }

3060:   {
3061:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3062:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3063:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3064:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3065:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3066:     if (flag || flag_draw || flag_contour) {
3067:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3068:       PetscViewer vdraw, vstdout;
3069:       PetscBool   flg;
3070:       if (flag_operator) {
3071:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3072:         Bexp = Bexp_mine;
3073:       } else {
3074:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3075:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3076:         if (flg) Bexp = B;
3077:         else {
3078:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3079:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3080:           Bexp = Bexp_mine;
3081:         }
3082:       }
3083:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3084:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3085:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3086:       if (flag_draw || flag_contour) {
3087:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3088:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3089:       } else vdraw = NULL;
3090:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3091:       if (flag) PetscCall(MatView(Bexp, vstdout));
3092:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3093:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3094:       if (flag) PetscCall(MatView(FDexp, vstdout));
3095:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3096:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3097:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3098:       if (flag) PetscCall(MatView(FDexp, vstdout));
3099:       if (vdraw) { /* Always use contour for the difference */
3100:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3101:         PetscCall(MatView(FDexp, vdraw));
3102:         PetscCall(PetscViewerPopFormat(vdraw));
3103:       }
3104:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3105:       PetscCall(PetscViewerDestroy(&vdraw));
3106:       PetscCall(MatDestroy(&Bexp_mine));
3107:       PetscCall(MatDestroy(&FDexp));
3108:     }
3109:   }
3110:   {
3111:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3112:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3113:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3114:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3115:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3116:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3117:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3118:     if (flag_threshold) {
3119:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3120:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3121:     }
3122:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3123:       Mat             Bfd;
3124:       PetscViewer     vdraw, vstdout;
3125:       MatColoring     coloring;
3126:       ISColoring      iscoloring;
3127:       MatFDColoring   matfdcoloring;
3128:       SNESFunctionFn *func;
3129:       void           *funcctx;
3130:       PetscReal       norm1, norm2, normmax;

3132:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3133:       PetscCall(MatColoringCreate(Bfd, &coloring));
3134:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3135:       PetscCall(MatColoringSetFromOptions(coloring));
3136:       PetscCall(MatColoringApply(coloring, &iscoloring));
3137:       PetscCall(MatColoringDestroy(&coloring));
3138:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3139:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3140:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3141:       PetscCall(ISColoringDestroy(&iscoloring));

3143:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3144:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3145:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3146:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3147:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3148:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3149:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3150:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3152:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3153:       if (flag_draw || flag_contour) {
3154:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3155:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3156:       } else vdraw = NULL;
3157:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3158:       if (flag_display) PetscCall(MatView(B, vstdout));
3159:       if (vdraw) PetscCall(MatView(B, vdraw));
3160:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3161:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3162:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3163:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3164:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3165:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3166:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3167:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3168:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3169:       if (vdraw) { /* Always use contour for the difference */
3170:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3171:         PetscCall(MatView(Bfd, vdraw));
3172:         PetscCall(PetscViewerPopFormat(vdraw));
3173:       }
3174:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3176:       if (flag_threshold) {
3177:         PetscInt bs, rstart, rend, i;
3178:         PetscCall(MatGetBlockSize(B, &bs));
3179:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3180:         for (i = rstart; i < rend; i++) {
3181:           const PetscScalar *ba, *ca;
3182:           const PetscInt    *bj, *cj;
3183:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3184:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3185:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3186:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3187:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3188:           for (j = 0; j < bn; j++) {
3189:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3190:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3191:               maxentrycol = bj[j];
3192:               maxentry    = PetscRealPart(ba[j]);
3193:             }
3194:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3195:               maxdiffcol = bj[j];
3196:               maxdiff    = PetscRealPart(ca[j]);
3197:             }
3198:             if (rdiff > maxrdiff) {
3199:               maxrdiffcol = bj[j];
3200:               maxrdiff    = rdiff;
3201:             }
3202:           }
3203:           if (maxrdiff > 1) {
3204:             PetscCall(PetscViewerASCIIPrintf(vstdout, "row %" PetscInt_FMT " (maxentry=%g at %" PetscInt_FMT ", maxdiff=%g at %" PetscInt_FMT ", maxrdiff=%g at %" PetscInt_FMT "):", i, (double)maxentry, maxentrycol, (double)maxdiff, maxdiffcol, (double)maxrdiff, maxrdiffcol));
3205:             for (j = 0; j < bn; j++) {
3206:               PetscReal rdiff;
3207:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3208:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3209:             }
3210:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3211:           }
3212:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3213:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3214:         }
3215:       }
3216:       PetscCall(PetscViewerDestroy(&vdraw));
3217:       PetscCall(MatDestroy(&Bfd));
3218:     }
3219:   }
3220:   PetscFunctionReturn(PETSC_SUCCESS);
3221: }

3223: /*@C
3224:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3225:   location to store the matrix.

3227:   Logically Collective

3229:   Input Parameters:
3230: + snes - the `SNES` context
3231: . Amat - the matrix that defines the (approximate) Jacobian
3232: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3233: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3234: - ctx  - [optional] user-defined context for private data for the
3235:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3237:   Level: beginner

3239:   Notes:
3240:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3241:   each matrix.

3243:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3244:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3246:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3247:   must be a `MatFDColoring`.

3249:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3250:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3252: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3253:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3254: @*/
3255: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
3256: {
3257:   DM dm;

3259:   PetscFunctionBegin;
3263:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3264:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3265:   PetscCall(SNESGetDM(snes, &dm));
3266:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3267:   if (Amat) {
3268:     PetscCall(PetscObjectReference((PetscObject)Amat));
3269:     PetscCall(MatDestroy(&snes->jacobian));

3271:     snes->jacobian = Amat;
3272:   }
3273:   if (Pmat) {
3274:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3275:     PetscCall(MatDestroy(&snes->jacobian_pre));

3277:     snes->jacobian_pre = Pmat;
3278:   }
3279:   PetscFunctionReturn(PETSC_SUCCESS);
3280: }

3282: /*@C
3283:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3284:   provided context for evaluating the Jacobian.

3286:   Not Collective, but `Mat` object will be parallel if `SNES` is

3288:   Input Parameter:
3289: . snes - the nonlinear solver context

3291:   Output Parameters:
3292: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3293: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3294: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3295: - ctx  - location to stash Jacobian ctx (or `NULL`)

3297:   Level: advanced

3299: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3300: @*/
3301: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
3302: {
3303:   DM dm;

3305:   PetscFunctionBegin;
3307:   if (Amat) *Amat = snes->jacobian;
3308:   if (Pmat) *Pmat = snes->jacobian_pre;
3309:   PetscCall(SNESGetDM(snes, &dm));
3310:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3311:   PetscFunctionReturn(PETSC_SUCCESS);
3312: }

3314: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3315: {
3316:   DM     dm;
3317:   DMSNES sdm;

3319:   PetscFunctionBegin;
3320:   PetscCall(SNESGetDM(snes, &dm));
3321:   PetscCall(DMGetDMSNES(dm, &sdm));
3322:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3323:     DM        dm;
3324:     PetscBool isdense, ismf;

3326:     PetscCall(SNESGetDM(snes, &dm));
3327:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3328:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3329:     if (isdense) {
3330:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3331:     } else if (!ismf) {
3332:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3333:     }
3334:   }
3335:   PetscFunctionReturn(PETSC_SUCCESS);
3336: }

3338: /*@
3339:   SNESSetUp - Sets up the internal data structures for the later use
3340:   of a nonlinear solver `SNESSolve()`.

3342:   Collective

3344:   Input Parameter:
3345: . snes - the `SNES` context

3347:   Level: advanced

3349:   Note:
3350:   For basic use of the `SNES` solvers the user does not need to explicitly call
3351:   `SNESSetUp()`, since these actions will automatically occur during
3352:   the call to `SNESSolve()`.  However, if one wishes to control this
3353:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3354:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3356: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3357: @*/
3358: PetscErrorCode SNESSetUp(SNES snes)
3359: {
3360:   DM             dm;
3361:   DMSNES         sdm;
3362:   SNESLineSearch linesearch, pclinesearch;
3363:   void          *lsprectx, *lspostctx;
3364:   PetscBool      mf_operator, mf;
3365:   Vec            f, fpc;
3366:   void          *funcctx;
3367:   void          *jacctx, *appctx;
3368:   Mat            j, jpre;
3369:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3370:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3371:   SNESFunctionFn *func;
3372:   SNESJacobianFn *jac;

3374:   PetscFunctionBegin;
3376:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3377:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3379:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3381:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3383:   PetscCall(SNESGetDM(snes, &dm));
3384:   PetscCall(DMGetDMSNES(dm, &sdm));
3385:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3387:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3389:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3391:   if (snes->linesearch) {
3392:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3393:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3394:   }

3396:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3397:   if (snes->npc && snes->npcside == PC_LEFT) {
3398:     snes->mf          = PETSC_TRUE;
3399:     snes->mf_operator = PETSC_FALSE;
3400:   }

3402:   if (snes->npc) {
3403:     /* copy the DM over */
3404:     PetscCall(SNESGetDM(snes, &dm));
3405:     PetscCall(SNESSetDM(snes->npc, dm));

3407:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3408:     PetscCall(VecDuplicate(f, &fpc));
3409:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3410:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3411:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3412:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3413:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3414:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3415:     PetscCall(VecDestroy(&fpc));

3417:     /* copy the function pointers over */
3418:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3420:     /* default to 1 iteration */
3421:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3422:     if (snes->npcside == PC_RIGHT) {
3423:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3424:     } else {
3425:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3426:     }
3427:     PetscCall(SNESSetFromOptions(snes->npc));

3429:     /* copy the line search context over */
3430:     if (snes->linesearch && snes->npc->linesearch) {
3431:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3432:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3433:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3434:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3435:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3436:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3437:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3438:     }
3439:   }
3440:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3441:   if (snes->ops->usercompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->usercompute)(snes, &snes->ctx));

3443:   snes->jac_iter = 0;
3444:   snes->pre_iter = 0;

3446:   PetscTryTypeMethod(snes, setup);

3448:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3450:   if (snes->npc && snes->npcside == PC_LEFT) {
3451:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3452:       if (snes->linesearch) {
3453:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3454:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3455:       }
3456:     }
3457:   }
3458:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3459:   snes->setupcalled = PETSC_TRUE;
3460:   PetscFunctionReturn(PETSC_SUCCESS);
3461: }

3463: /*@
3464:   SNESReset - Resets a `SNES` context to the state it was in before `SNESSetUp()` was called and removes any allocated `Vec` and `Mat` from its data structures

3466:   Collective

3468:   Input Parameter:
3469: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3471:   Level: intermediate

3473:   Notes:
3474:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3476:   Call this if you wish to reuse a `SNES` but with different size vectors

3478:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3480: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3481: @*/
3482: PetscErrorCode SNESReset(SNES snes)
3483: {
3484:   PetscFunctionBegin;
3486:   if (snes->ops->ctxdestroy && snes->ctx) {
3487:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3488:     snes->ctx = NULL;
3489:   }
3490:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3492:   PetscTryTypeMethod(snes, reset);
3493:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3495:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3497:   PetscCall(VecDestroy(&snes->vec_rhs));
3498:   PetscCall(VecDestroy(&snes->vec_sol));
3499:   PetscCall(VecDestroy(&snes->vec_sol_update));
3500:   PetscCall(VecDestroy(&snes->vec_func));
3501:   PetscCall(MatDestroy(&snes->jacobian));
3502:   PetscCall(MatDestroy(&snes->jacobian_pre));
3503:   PetscCall(MatDestroy(&snes->picard));
3504:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3505:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3507:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3509:   snes->nwork = snes->nvwork = 0;
3510:   snes->setupcalled          = PETSC_FALSE;
3511:   PetscFunctionReturn(PETSC_SUCCESS);
3512: }

3514: /*@
3515:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3516:   removes the default viewer.

3518:   Collective

3520:   Input Parameter:
3521: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3523:   Level: intermediate

3525: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3526: @*/
3527: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3528: {
3529:   PetscInt i;

3531:   PetscFunctionBegin;
3533:   for (i = 0; i < snes->numberreasonviews; i++) {
3534:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3535:   }
3536:   snes->numberreasonviews = 0;
3537:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3538:   PetscFunctionReturn(PETSC_SUCCESS);
3539: }

3541: /*@
3542:   SNESDestroy - Destroys the nonlinear solver context that was created
3543:   with `SNESCreate()`.

3545:   Collective

3547:   Input Parameter:
3548: . snes - the `SNES` context

3550:   Level: beginner

3552: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3553: @*/
3554: PetscErrorCode SNESDestroy(SNES *snes)
3555: {
3556:   DM dm;

3558:   PetscFunctionBegin;
3559:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3561:   if (--((PetscObject)*snes)->refct > 0) {
3562:     *snes = NULL;
3563:     PetscFunctionReturn(PETSC_SUCCESS);
3564:   }

3566:   PetscCall(SNESReset(*snes));
3567:   PetscCall(SNESDestroy(&(*snes)->npc));

3569:   /* if memory was published with SAWs then destroy it */
3570:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3571:   PetscTryTypeMethod(*snes, destroy);

3573:   dm = (*snes)->dm;
3574:   while (dm) {
3575:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3576:     PetscCall(DMGetCoarseDM(dm, &dm));
3577:   }

3579:   PetscCall(DMDestroy(&(*snes)->dm));
3580:   PetscCall(KSPDestroy(&(*snes)->ksp));
3581:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3583:   PetscCall(PetscFree((*snes)->kspconvctx));
3584:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3585:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3586:   PetscCall(SNESMonitorCancel(*snes));
3587:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3588:   PetscCall(PetscHeaderDestroy(snes));
3589:   PetscFunctionReturn(PETSC_SUCCESS);
3590: }

3592: /* ----------- Routines to set solver parameters ---------- */

3594: /*@
3595:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3597:   Logically Collective

3599:   Input Parameters:
3600: + snes - the `SNES` context
3601: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3602:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3604:   Options Database Keys:
3605: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3606: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3607: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3608: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3610:   Level: intermediate

3612:   Notes:
3613:   The default is 1

3615:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3617:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3619: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3620:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3621: @*/
3622: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3623: {
3624:   PetscFunctionBegin;
3626:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3627:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3629:   snes->lagpreconditioner = lag;
3630:   PetscFunctionReturn(PETSC_SUCCESS);
3631: }

3633: /*@
3634:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3636:   Logically Collective

3638:   Input Parameters:
3639: + snes  - the `SNES` context
3640: - steps - the number of refinements to do, defaults to 0

3642:   Options Database Key:
3643: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3645:   Level: intermediate

3647:   Notes:
3648:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3650:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3652: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3653:           `SNESSetDM()`, `SNESSolve()`
3654: @*/
3655: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3656: {
3657:   PetscFunctionBegin;
3660:   snes->gridsequence = steps;
3661:   PetscFunctionReturn(PETSC_SUCCESS);
3662: }

3664: /*@
3665:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3667:   Logically Collective

3669:   Input Parameter:
3670: . snes - the `SNES` context

3672:   Output Parameter:
3673: . steps - the number of refinements to do, defaults to 0

3675:   Level: intermediate

3677: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3678: @*/
3679: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3680: {
3681:   PetscFunctionBegin;
3683:   *steps = snes->gridsequence;
3684:   PetscFunctionReturn(PETSC_SUCCESS);
3685: }

3687: /*@
3688:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3690:   Not Collective

3692:   Input Parameter:
3693: . snes - the `SNES` context

3695:   Output Parameter:
3696: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3697:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3699:   Level: intermediate

3701:   Notes:
3702:   The default is 1

3704:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3706: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3707: @*/
3708: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3709: {
3710:   PetscFunctionBegin;
3712:   *lag = snes->lagpreconditioner;
3713:   PetscFunctionReturn(PETSC_SUCCESS);
3714: }

3716: /*@
3717:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3718:   often the preconditioner is rebuilt.

3720:   Logically Collective

3722:   Input Parameters:
3723: + snes - the `SNES` context
3724: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3725:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3727:   Options Database Keys:
3728: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3729: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3730: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3731: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3733:   Level: intermediate

3735:   Notes:
3736:   The default is 1

3738:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3740:   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
3741:   at the next Newton step but never again (unless it is reset to another value)

3743: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3744: @*/
3745: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3746: {
3747:   PetscFunctionBegin;
3749:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3750:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3752:   snes->lagjacobian = lag;
3753:   PetscFunctionReturn(PETSC_SUCCESS);
3754: }

3756: /*@
3757:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3759:   Not Collective

3761:   Input Parameter:
3762: . snes - the `SNES` context

3764:   Output Parameter:
3765: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3766:          the Jacobian is built etc.

3768:   Level: intermediate

3770:   Notes:
3771:   The default is 1

3773:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3775: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3777: @*/
3778: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3779: {
3780:   PetscFunctionBegin;
3782:   *lag = snes->lagjacobian;
3783:   PetscFunctionReturn(PETSC_SUCCESS);
3784: }

3786: /*@
3787:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3789:   Logically collective

3791:   Input Parameters:
3792: + snes - the `SNES` context
3793: - flg  - jacobian lagging persists if true

3795:   Options Database Keys:
3796: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3797: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3798: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3799: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3801:   Level: advanced

3803:   Notes:
3804:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3806:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3807:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3808:   timesteps may present huge efficiency gains.

3810: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3811: @*/
3812: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3813: {
3814:   PetscFunctionBegin;
3817:   snes->lagjac_persist = flg;
3818:   PetscFunctionReturn(PETSC_SUCCESS);
3819: }

3821: /*@
3822:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3824:   Logically Collective

3826:   Input Parameters:
3827: + snes - the `SNES` context
3828: - flg  - preconditioner lagging persists if true

3830:   Options Database Keys:
3831: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3832: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3833: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3834: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3836:   Level: developer

3838:   Notes:
3839:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3841:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3842:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3843:   several timesteps may present huge efficiency gains.

3845: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3846: @*/
3847: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3848: {
3849:   PetscFunctionBegin;
3852:   snes->lagpre_persist = flg;
3853:   PetscFunctionReturn(PETSC_SUCCESS);
3854: }

3856: /*@
3857:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3859:   Logically Collective

3861:   Input Parameters:
3862: + snes  - the `SNES` context
3863: - force - `PETSC_TRUE` require at least one iteration

3865:   Options Database Key:
3866: . -snes_force_iteration <force> - Sets forcing an iteration

3868:   Level: intermediate

3870:   Note:
3871:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3873: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3874: @*/
3875: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3876: {
3877:   PetscFunctionBegin;
3879:   snes->forceiteration = force;
3880:   PetscFunctionReturn(PETSC_SUCCESS);
3881: }

3883: /*@
3884:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3886:   Logically Collective

3888:   Input Parameter:
3889: . snes - the `SNES` context

3891:   Output Parameter:
3892: . force - `PETSC_TRUE` requires at least one iteration.

3894:   Level: intermediate

3896: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3897: @*/
3898: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3899: {
3900:   PetscFunctionBegin;
3902:   *force = snes->forceiteration;
3903:   PetscFunctionReturn(PETSC_SUCCESS);
3904: }

3906: /*@
3907:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

3909:   Logically Collective

3911:   Input Parameters:
3912: + snes   - the `SNES` context
3913: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
3914: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
3915: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3916: . maxit  - the maximum number of iterations allowed in the solver, default 50.
3917: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

3919:   Options Database Keys:
3920: + -snes_atol <abstol>    - Sets `abstol`
3921: . -snes_rtol <rtol>      - Sets `rtol`
3922: . -snes_stol <stol>      - Sets `stol`
3923: . -snes_max_it <maxit>   - Sets `maxit`
3924: - -snes_max_funcs <maxf> - Sets `maxf` (use `unlimited` to have no maximum)

3926:   Level: intermediate

3928:   Note:
3929:   All parameters must be non-negative

3931:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
3932:   The default value is the value in the object when its type is set.

3934:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

3936:   Fortran Note:
3937:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

3939: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3940: @*/
3941: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3942: {
3943:   PetscFunctionBegin;

3951:   if (abstol == (PetscReal)PETSC_DETERMINE) {
3952:     snes->abstol = snes->default_abstol;
3953:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
3954:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3955:     snes->abstol = abstol;
3956:   }

3958:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3959:     snes->rtol = snes->default_rtol;
3960:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3961:     PetscCheck(rtol >= 0.0 && 1.0 > rtol, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Relative tolerance %g must be non-negative and less than 1.0", (double)rtol);
3962:     snes->rtol = rtol;
3963:   }

3965:   if (stol == (PetscReal)PETSC_DETERMINE) {
3966:     snes->stol = snes->default_stol;
3967:   } else if (stol != (PetscReal)PETSC_CURRENT) {
3968:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3969:     snes->stol = stol;
3970:   }

3972:   if (maxit == PETSC_DETERMINE) {
3973:     snes->max_its = snes->default_max_its;
3974:   } else if (maxit == PETSC_UNLIMITED) {
3975:     snes->max_its = PETSC_INT_MAX;
3976:   } else if (maxit != PETSC_CURRENT) {
3977:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3978:     snes->max_its = maxit;
3979:   }

3981:   if (maxf == PETSC_DETERMINE) {
3982:     snes->max_funcs = snes->default_max_funcs;
3983:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
3984:     snes->max_funcs = PETSC_UNLIMITED;
3985:   } else if (maxf != PETSC_CURRENT) {
3986:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
3987:     snes->max_funcs = maxf;
3988:   }
3989:   PetscFunctionReturn(PETSC_SUCCESS);
3990: }

3992: /*@
3993:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3995:   Logically Collective

3997:   Input Parameters:
3998: + snes   - the `SNES` context
3999: - divtol - the divergence tolerance. Use `PETSC_UNLIMITED` to deactivate the test. If the residual norm $ F(x^n) \ge divtol * F(x^0) $ the solver
4000:            is stopped due to divergence.

4002:   Options Database Key:
4003: . -snes_divergence_tolerance <divtol> - Sets `divtol`

4005:   Level: intermediate

4007:   Notes:
4008:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

4010:   Fortran Note:
4011:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

4013: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
4014: @*/
4015: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
4016: {
4017:   PetscFunctionBegin;

4021:   if (divtol == (PetscReal)PETSC_DETERMINE) {
4022:     snes->divtol = snes->default_divtol;
4023:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
4024:     snes->divtol = PETSC_UNLIMITED;
4025:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4026:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4027:     snes->divtol = divtol;
4028:   }
4029:   PetscFunctionReturn(PETSC_SUCCESS);
4030: }

4032: /*@
4033:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4035:   Not Collective

4037:   Input Parameter:
4038: . snes - the `SNES` context

4040:   Output Parameters:
4041: + atol  - the absolute convergence tolerance
4042: . rtol  - the relative convergence tolerance
4043: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4044: . maxit - the maximum number of iterations allowed
4045: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4047:   Level: intermediate

4049:   Notes:
4050:   See `SNESSetTolerances()` for details on the parameters.

4052:   The user can specify `NULL` for any parameter that is not needed.

4054: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4055: @*/
4056: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4057: {
4058:   PetscFunctionBegin;
4060:   if (atol) *atol = snes->abstol;
4061:   if (rtol) *rtol = snes->rtol;
4062:   if (stol) *stol = snes->stol;
4063:   if (maxit) *maxit = snes->max_its;
4064:   if (maxf) *maxf = snes->max_funcs;
4065:   PetscFunctionReturn(PETSC_SUCCESS);
4066: }

4068: /*@
4069:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4071:   Not Collective

4073:   Input Parameters:
4074: + snes   - the `SNES` context
4075: - divtol - divergence tolerance

4077:   Level: intermediate

4079: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4080: @*/
4081: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4082: {
4083:   PetscFunctionBegin;
4085:   if (divtol) *divtol = snes->divtol;
4086:   PetscFunctionReturn(PETSC_SUCCESS);
4087: }

4089: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4091: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, void *monctx)
4092: {
4093:   PetscDrawLG      lg;
4094:   PetscReal        x, y, per;
4095:   PetscViewer      v = (PetscViewer)monctx;
4096:   static PetscReal prev; /* should be in the context */
4097:   PetscDraw        draw;

4099:   PetscFunctionBegin;
4101:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4102:   if (!n) PetscCall(PetscDrawLGReset(lg));
4103:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4104:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4105:   x = (PetscReal)n;
4106:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4107:   else y = -15.0;
4108:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4109:   if (n < 20 || !(n % 5) || snes->reason) {
4110:     PetscCall(PetscDrawLGDraw(lg));
4111:     PetscCall(PetscDrawLGSave(lg));
4112:   }

4114:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4115:   if (!n) PetscCall(PetscDrawLGReset(lg));
4116:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4117:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4118:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4119:   x = (PetscReal)n;
4120:   y = 100.0 * per;
4121:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4122:   if (n < 20 || !(n % 5) || snes->reason) {
4123:     PetscCall(PetscDrawLGDraw(lg));
4124:     PetscCall(PetscDrawLGSave(lg));
4125:   }

4127:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4128:   if (!n) {
4129:     prev = rnorm;
4130:     PetscCall(PetscDrawLGReset(lg));
4131:   }
4132:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4133:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4134:   x = (PetscReal)n;
4135:   y = (prev - rnorm) / prev;
4136:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4137:   if (n < 20 || !(n % 5) || snes->reason) {
4138:     PetscCall(PetscDrawLGDraw(lg));
4139:     PetscCall(PetscDrawLGSave(lg));
4140:   }

4142:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4143:   if (!n) PetscCall(PetscDrawLGReset(lg));
4144:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4145:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4146:   x = (PetscReal)n;
4147:   y = (prev - rnorm) / (prev * per);
4148:   if (n > 2) { /*skip initial crazy value */
4149:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4150:   }
4151:   if (n < 20 || !(n % 5) || snes->reason) {
4152:     PetscCall(PetscDrawLGDraw(lg));
4153:     PetscCall(PetscDrawLGSave(lg));
4154:   }
4155:   prev = rnorm;
4156:   PetscFunctionReturn(PETSC_SUCCESS);
4157: }

4159: /*@
4160:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4162:   Collective

4164:   Input Parameters:
4165: + snes  - the `SNES` context
4166: . it    - current iteration
4167: . xnorm - 2-norm of current iterate
4168: . snorm - 2-norm of current step
4169: - fnorm - 2-norm of function

4171:   Level: developer

4173:   Note:
4174:   This routine is called by the `SNESSolve()` implementations.
4175:   It does not typically need to be called by the user.

4177: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4178: @*/
4179: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4180: {
4181:   PetscFunctionBegin;
4182:   if (!snes->reason) {
4183:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4184:     if (it == snes->max_its && !snes->reason) {
4185:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4186:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4187:         snes->reason = SNES_DIVERGED_MAX_IT;
4188:       } else snes->reason = SNES_CONVERGED_ITS;
4189:     }
4190:   }
4191:   PetscFunctionReturn(PETSC_SUCCESS);
4192: }

4194: /*@
4195:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4197:   Collective

4199:   Input Parameters:
4200: + snes  - nonlinear solver context obtained from `SNESCreate()`
4201: . iter  - current iteration number
4202: - rnorm - current relative norm of the residual

4204:   Level: developer

4206:   Note:
4207:   This routine is called by the `SNESSolve()` implementations.
4208:   It does not typically need to be called by the user.

4210: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4211: @*/
4212: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4213: {
4214:   PetscInt i, n = snes->numbermonitors;

4216:   PetscFunctionBegin;
4217:   PetscCall(VecLockReadPush(snes->vec_sol));
4218:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4219:   PetscCall(VecLockReadPop(snes->vec_sol));
4220:   PetscFunctionReturn(PETSC_SUCCESS);
4221: }

4223: /* ------------ Routines to set performance monitoring options ----------- */

4225: /*MC
4226:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4228:      Synopsis:
4229: #include <petscsnes.h>
4230:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, void *mctx)

4232:      Collective

4234:     Input Parameters:
4235: +    snes - the `SNES` context
4236: .    its - iteration number
4237: .    norm - 2-norm function value (may be estimated)
4238: -    mctx - [optional] monitoring context

4240:    Level: advanced

4242: .seealso: [](ch_snes), `SNESMonitorSet()`
4243: M*/

4245: /*@C
4246:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4247:   iteration of the `SNES` nonlinear solver to display the iteration's
4248:   progress.

4250:   Logically Collective

4252:   Input Parameters:
4253: + snes           - the `SNES` context
4254: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4255: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4256: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4258:   Options Database Keys:
4259: + -snes_monitor               - sets `SNESMonitorDefault()`
4260: . -snes_monitor draw::draw_lg - sets line graph monitor,
4261: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4262:                                 the options database.

4264:   Level: intermediate

4266:   Note:
4267:   Several different monitoring routines may be set by calling
4268:   `SNESMonitorSet()` multiple times; all will be called in the
4269:   order in which they were set.

4271:   Fortran Note:
4272:   Only a single monitor function can be set for each `SNES` object

4274: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4275: @*/
4276: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, void *), void *mctx, PetscCtxDestroyFn *monitordestroy)
4277: {
4278:   PetscFunctionBegin;
4280:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4281:     PetscBool identical;

4283:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4284:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4285:   }
4286:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4287:   snes->monitor[snes->numbermonitors]          = f;
4288:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4289:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4290:   PetscFunctionReturn(PETSC_SUCCESS);
4291: }

4293: /*@
4294:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4296:   Logically Collective

4298:   Input Parameter:
4299: . snes - the `SNES` context

4301:   Options Database Key:
4302: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4303:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4304:                          set via the options database

4306:   Level: intermediate

4308:   Note:
4309:   There is no way to clear one specific monitor from a `SNES` object.

4311: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4312: @*/
4313: PetscErrorCode SNESMonitorCancel(SNES snes)
4314: {
4315:   PetscInt i;

4317:   PetscFunctionBegin;
4319:   for (i = 0; i < snes->numbermonitors; i++) {
4320:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4321:   }
4322:   snes->numbermonitors = 0;
4323:   PetscFunctionReturn(PETSC_SUCCESS);
4324: }

4326: /*MC
4327:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4329:      Synopsis:
4330: #include <petscsnes.h>
4331:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4333:      Collective

4335:     Input Parameters:
4336: +    snes - the `SNES` context
4337: .    it - current iteration (0 is the first and is before any Newton step)
4338: .    xnorm - 2-norm of current iterate
4339: .    gnorm - 2-norm of current step
4340: .    f - 2-norm of function
4341: -    cctx - [optional] convergence context

4343:     Output Parameter:
4344: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4346:    Level: intermediate

4348: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4349: M*/

4351: /*@C
4352:   SNESSetConvergenceTest - Sets the function that is to be used
4353:   to test for convergence of the nonlinear iterative solution.

4355:   Logically Collective

4357:   Input Parameters:
4358: + snes                        - the `SNES` context
4359: . SNESConvergenceTestFunction - routine to test for convergence
4360: . cctx                        - [optional] context for private data for the convergence routine  (may be `NULL`)
4361: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4363:   Level: advanced

4365: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4366: @*/
4367: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *cctx, PetscCtxDestroyFn *destroy)
4368: {
4369:   PetscFunctionBegin;
4371:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4372:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4373:   snes->ops->converged        = SNESConvergenceTestFunction;
4374:   snes->ops->convergeddestroy = destroy;
4375:   snes->cnvP                  = cctx;
4376:   PetscFunctionReturn(PETSC_SUCCESS);
4377: }

4379: /*@
4380:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4382:   Not Collective

4384:   Input Parameter:
4385: . snes - the `SNES` context

4387:   Output Parameter:
4388: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4390:   Options Database Key:
4391: . -snes_converged_reason - prints the reason to standard out

4393:   Level: intermediate

4395:   Note:
4396:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4398: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4399: @*/
4400: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4401: {
4402:   PetscFunctionBegin;
4404:   PetscAssertPointer(reason, 2);
4405:   *reason = snes->reason;
4406:   PetscFunctionReturn(PETSC_SUCCESS);
4407: }

4409: /*@C
4410:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4412:   Not Collective

4414:   Input Parameter:
4415: . snes - the `SNES` context

4417:   Output Parameter:
4418: . strreason - a human readable string that describes `SNES` converged reason

4420:   Level: beginner

4422: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4423: @*/
4424: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4425: {
4426:   PetscFunctionBegin;
4428:   PetscAssertPointer(strreason, 2);
4429:   *strreason = SNESConvergedReasons[snes->reason];
4430:   PetscFunctionReturn(PETSC_SUCCESS);
4431: }

4433: /*@
4434:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4436:   Not Collective

4438:   Input Parameters:
4439: + snes   - the `SNES` context
4440: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4441:             manual pages for the individual convergence tests for complete lists

4443:   Level: developer

4445:   Developer Note:
4446:   Called inside the various `SNESSolve()` implementations

4448: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4449: @*/
4450: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4451: {
4452:   PetscFunctionBegin;
4454:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4455:   snes->reason = reason;
4456:   PetscFunctionReturn(PETSC_SUCCESS);
4457: }

4459: /*@
4460:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4462:   Logically Collective

4464:   Input Parameters:
4465: + snes  - iterative context obtained from `SNESCreate()`
4466: . a     - array to hold history, this array will contain the function norms computed at each step
4467: . its   - integer array holds the number of linear iterations for each solve.
4468: . na    - size of `a` and `its`
4469: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4470:           else it continues storing new values for new nonlinear solves after the old ones

4472:   Level: intermediate

4474:   Notes:
4475:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4476:   default array of length 1,000 is allocated.

4478:   This routine is useful, e.g., when running a code for purposes
4479:   of accurate performance monitoring, when no I/O should be done
4480:   during the section of code that is being timed.

4482:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4484: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4485: @*/
4486: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4487: {
4488:   PetscFunctionBegin;
4490:   if (a) PetscAssertPointer(a, 2);
4491:   if (its) PetscAssertPointer(its, 3);
4492:   if (!a) {
4493:     if (na == PETSC_DECIDE) na = 1000;
4494:     PetscCall(PetscCalloc2(na, &a, na, &its));
4495:     snes->conv_hist_alloc = PETSC_TRUE;
4496:   }
4497:   snes->conv_hist       = a;
4498:   snes->conv_hist_its   = its;
4499:   snes->conv_hist_max   = (size_t)na;
4500:   snes->conv_hist_len   = 0;
4501:   snes->conv_hist_reset = reset;
4502:   PetscFunctionReturn(PETSC_SUCCESS);
4503: }

4505: #if defined(PETSC_HAVE_MATLAB)
4506:   #include <engine.h> /* MATLAB include file */
4507:   #include <mex.h>    /* MATLAB include file */

4509: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4510: {
4511:   mxArray   *mat;
4512:   PetscInt   i;
4513:   PetscReal *ar;

4515:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4516:   ar  = (PetscReal *)mxGetData(mat);
4517:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4518:   return mat;
4519: }
4520: #endif

4522: /*@C
4523:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4525:   Not Collective

4527:   Input Parameter:
4528: . snes - iterative context obtained from `SNESCreate()`

4530:   Output Parameters:
4531: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4532: . its - integer array holds the number of linear iterations (or
4533:          negative if not converged) for each solve.
4534: - na  - size of `a` and `its`

4536:   Level: intermediate

4538:   Note:
4539:   This routine is useful, e.g., when running a code for purposes
4540:   of accurate performance monitoring, when no I/O should be done
4541:   during the section of code that is being timed.

4543:   Fortran Notes:
4544:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4546:   Use the arguments
4547: .vb
4548:   PetscReal, pointer :: a(:)
4549:   PetscInt, pointer :: its(:)
4550: .ve

4552: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4553: @*/
4554: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4555: {
4556:   PetscFunctionBegin;
4558:   if (a) *a = snes->conv_hist;
4559:   if (its) *its = snes->conv_hist_its;
4560:   if (na) *na = (PetscInt)snes->conv_hist_len;
4561:   PetscFunctionReturn(PETSC_SUCCESS);
4562: }

4564: /*@C
4565:   SNESSetUpdate - Sets the general-purpose update function called
4566:   at the beginning of every iteration of the nonlinear solve. Specifically
4567:   it is called just before the Jacobian is "evaluated" and after the function
4568:   evaluation.

4570:   Logically Collective

4572:   Input Parameters:
4573: + snes - The nonlinear solver context
4574: - func - The update function; for calling sequence see `SNESUpdateFn`

4576:   Level: advanced

4578:   Notes:
4579:   This is NOT what one uses to update the ghost points before a function evaluation, that should be done at the beginning of your function provided
4580:   to `SNESSetFunction()`, or `SNESSetPicard()`
4581:   This is not used by most users, and it is intended to provide a general hook that is run
4582:   right before the direction step is computed.

4584:   Users are free to modify the current residual vector,
4585:   the current linearization point, or any other vector associated to the specific solver used.
4586:   If such modifications take place, it is the user responsibility to update all the relevant
4587:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4588: .vb
4589:   PetscErrorCode update(SNES snes, PetscInt iteration)
4590:   {
4591:     PetscFunctionBeginUser;
4592:     if (iteration > 0) {
4593:       // update the model parameters here
4594:       Vec x,f;
4595:       PetscCall(SNESGetSolution(snes,&x));
4596:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4597:       PetscCall(SNESComputeFunction(snes,x,f));
4598:     }
4599:     PetscFunctionReturn(PETSC_SUCCESS);
4600:   }
4601: .ve

4603:   There are a variety of function hooks one many set that are called at different stages of the nonlinear solution process, see the functions listed below.

4605: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4606:          `SNESMonitorSet()`
4607: @*/
4608: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4609: {
4610:   PetscFunctionBegin;
4612:   snes->ops->update = func;
4613:   PetscFunctionReturn(PETSC_SUCCESS);
4614: }

4616: /*@
4617:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4619:   Collective

4621:   Input Parameters:
4622: + snes   - iterative context obtained from `SNESCreate()`
4623: - viewer - the viewer to display the reason

4625:   Options Database Keys:
4626: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4627: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4629:   Level: beginner

4631:   Note:
4632:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4633:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4635: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4636:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4637:           `SNESConvergedReasonViewFromOptions()`,
4638:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4639: @*/
4640: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4641: {
4642:   PetscViewerFormat format;
4643:   PetscBool         isAscii;

4645:   PetscFunctionBegin;
4646:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4647:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4648:   if (isAscii) {
4649:     PetscCall(PetscViewerGetFormat(viewer, &format));
4650:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4651:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4652:       DM       dm;
4653:       Vec      u;
4654:       PetscDS  prob;
4655:       PetscInt Nf, f;
4656:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4657:       void    **exactCtx;
4658:       PetscReal error;

4660:       PetscCall(SNESGetDM(snes, &dm));
4661:       PetscCall(SNESGetSolution(snes, &u));
4662:       PetscCall(DMGetDS(dm, &prob));
4663:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4664:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4665:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4666:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4667:       PetscCall(PetscFree2(exactSol, exactCtx));
4668:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4669:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4670:     }
4671:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4672:       if (((PetscObject)snes)->prefix) {
4673:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4674:       } else {
4675:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4676:       }
4677:     } else if (snes->reason <= 0) {
4678:       if (((PetscObject)snes)->prefix) {
4679:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4680:       } else {
4681:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4682:       }
4683:     }
4684:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4685:   }
4686:   PetscFunctionReturn(PETSC_SUCCESS);
4687: }

4689: /*@C
4690:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4691:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4693:   Logically Collective

4695:   Input Parameters:
4696: + snes              - the `SNES` context
4697: . f                 - the `SNESConvergedReason` view function
4698: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4699: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4701:   Calling sequence of `f`:
4702: + snes - the `SNES` context
4703: - vctx - [optional] context for private data for the function

4705:   Options Database Keys:
4706: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4707: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4708:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4710:   Level: intermediate

4712:   Note:
4713:   Several different converged reason view routines may be set by calling
4714:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4715:   order in which they were set.

4717: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4718:           `PetscCtxDestroyFn`
4719: @*/
4720: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscCtxDestroyFn *reasonviewdestroy)
4721: {
4722:   PetscFunctionBegin;
4724:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4725:     PetscBool identical;

4727:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4728:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4729:   }
4730:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4731:   snes->reasonview[snes->numberreasonviews]          = f;
4732:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4733:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4734:   PetscFunctionReturn(PETSC_SUCCESS);
4735: }

4737: /*@
4738:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4739:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4741:   Collective

4743:   Input Parameter:
4744: . snes - the `SNES` object

4746:   Level: advanced

4748: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4749:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4750: @*/
4751: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4752: {
4753:   static PetscBool incall = PETSC_FALSE;

4755:   PetscFunctionBegin;
4756:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4757:   incall = PETSC_TRUE;

4759:   /* All user-provided viewers are called first, if they exist. */
4760:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4762:   /* Call PETSc default routine if users ask for it */
4763:   if (snes->convergedreasonviewer) {
4764:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4765:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4766:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4767:   }
4768:   incall = PETSC_FALSE;
4769:   PetscFunctionReturn(PETSC_SUCCESS);
4770: }

4772: /*@
4773:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4775:   Collective

4777:   Input Parameters:
4778: + snes - the `SNES` context
4779: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4780: - x    - the solution vector.

4782:   Level: beginner

4784:   Note:
4785:   The user should initialize the vector, `x`, with the initial guess
4786:   for the nonlinear solve prior to calling `SNESSolve()` .

4788: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4789:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4790:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4791: @*/
4792: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4793: {
4794:   PetscBool flg;
4795:   PetscInt  grid;
4796:   Vec       xcreated = NULL;
4797:   DM        dm;

4799:   PetscFunctionBegin;
4802:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4804:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4806:   /* High level operations using the nonlinear solver */
4807:   {
4808:     PetscViewer       viewer;
4809:     PetscViewerFormat format;
4810:     PetscInt          num;
4811:     PetscBool         flg;
4812:     static PetscBool  incall = PETSC_FALSE;

4814:     if (!incall) {
4815:       /* Estimate the convergence rate of the discretization */
4816:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4817:       if (flg) {
4818:         PetscConvEst conv;
4819:         DM           dm;
4820:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4821:         PetscInt     Nf;

4823:         incall = PETSC_TRUE;
4824:         PetscCall(SNESGetDM(snes, &dm));
4825:         PetscCall(DMGetNumFields(dm, &Nf));
4826:         PetscCall(PetscCalloc1(Nf, &alpha));
4827:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4828:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4829:         PetscCall(PetscConvEstSetFromOptions(conv));
4830:         PetscCall(PetscConvEstSetUp(conv));
4831:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4832:         PetscCall(PetscViewerPushFormat(viewer, format));
4833:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4834:         PetscCall(PetscViewerPopFormat(viewer));
4835:         PetscCall(PetscViewerDestroy(&viewer));
4836:         PetscCall(PetscConvEstDestroy(&conv));
4837:         PetscCall(PetscFree(alpha));
4838:         incall = PETSC_FALSE;
4839:       }
4840:       /* Adaptively refine the initial grid */
4841:       num = 1;
4842:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4843:       if (flg) {
4844:         DMAdaptor adaptor;

4846:         incall = PETSC_TRUE;
4847:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4848:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4849:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4850:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4851:         PetscCall(DMAdaptorSetUp(adaptor));
4852:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4853:         PetscCall(DMAdaptorDestroy(&adaptor));
4854:         incall = PETSC_FALSE;
4855:       }
4856:       /* Use grid sequencing to adapt */
4857:       num = 0;
4858:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4859:       if (num) {
4860:         DMAdaptor   adaptor;
4861:         const char *prefix;

4863:         incall = PETSC_TRUE;
4864:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4865:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4866:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4867:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4868:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4869:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4870:         PetscCall(DMAdaptorSetUp(adaptor));
4871:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4872:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4873:         PetscCall(DMAdaptorDestroy(&adaptor));
4874:         incall = PETSC_FALSE;
4875:       }
4876:     }
4877:   }
4878:   if (!x) x = snes->vec_sol;
4879:   if (!x) {
4880:     PetscCall(SNESGetDM(snes, &dm));
4881:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4882:     x = xcreated;
4883:   }
4884:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4886:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4887:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4888:     /* set solution vector */
4889:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4890:     PetscCall(VecDestroy(&snes->vec_sol));
4891:     snes->vec_sol = x;
4892:     PetscCall(SNESGetDM(snes, &dm));

4894:     /* set affine vector if provided */
4895:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4896:     PetscCall(VecDestroy(&snes->vec_rhs));
4897:     snes->vec_rhs = b;

4899:     if (snes->vec_rhs) PetscCheck(snes->vec_func != snes->vec_rhs, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Right hand side vector cannot be function vector");
4900:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4901:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4902:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4903:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4904:     PetscCall(SNESSetUp(snes));

4906:     if (!grid) {
4907:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4908:     }

4910:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4911:     PetscCall(SNESResetCounters(snes));
4912:     snes->reason = SNES_CONVERGED_ITERATING;
4913:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4914:     PetscUseTypeMethod(snes, solve);
4915:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4916:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4917:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
4918:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
4919:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

4921:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4922:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4924:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4925:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4926:     /* Call converged reason views. This may involve user-provided viewers as well */
4927:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4929:     if (snes->errorifnotconverged) {
4930:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
4931:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4932:     }
4933:     if (snes->reason < 0) break;
4934:     if (grid < snes->gridsequence) {
4935:       DM  fine;
4936:       Vec xnew;
4937:       Mat interp;

4939:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4940:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4941:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4942:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4943:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4944:       PetscCall(MatInterpolate(interp, x, xnew));
4945:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4946:       PetscCall(MatDestroy(&interp));
4947:       x = xnew;

4949:       PetscCall(SNESReset(snes));
4950:       PetscCall(SNESSetDM(snes, fine));
4951:       PetscCall(SNESResetFromOptions(snes));
4952:       PetscCall(DMDestroy(&fine));
4953:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4954:     }
4955:   }
4956:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4957:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4958:   PetscCall(DMMonitor(snes->dm));
4959:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4961:   PetscCall(VecDestroy(&xcreated));
4962:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4963:   PetscFunctionReturn(PETSC_SUCCESS);
4964: }

4966: /* --------- Internal routines for SNES Package --------- */

4968: /*@
4969:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

4971:   Collective

4973:   Input Parameters:
4974: + snes - the `SNES` context
4975: - type - a known method

4977:   Options Database Key:
4978: . -snes_type <type> - Sets the method; use -help for a list
4979:    of available methods (for instance, newtonls or newtontr)

4981:   Level: intermediate

4983:   Notes:
4984:   See `SNESType` for available methods (for instance)
4985: +    `SNESNEWTONLS` - Newton's method with line search
4986:   (systems of nonlinear equations)
4987: -    `SNESNEWTONTR` - Newton's method with trust region
4988:   (systems of nonlinear equations)

4990:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4991:   set the `SNES` solver type from the options database rather than by using
4992:   this routine.  Using the options database provides the user with
4993:   maximum flexibility in evaluating the many nonlinear solvers.
4994:   The `SNESSetType()` routine is provided for those situations where it
4995:   is necessary to set the nonlinear solver independently of the command
4996:   line or options database.  This might be the case, for example, when
4997:   the choice of solver changes during the execution of the program,
4998:   and the user's application is taking responsibility for choosing the
4999:   appropriate method.

5001:   Developer Note:
5002:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
5003:   the constructor in that list and calls it to create the specific object.

5005: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
5006: @*/
5007: PetscErrorCode SNESSetType(SNES snes, SNESType type)
5008: {
5009:   PetscBool match;
5010:   PetscErrorCode (*r)(SNES);

5012:   PetscFunctionBegin;
5014:   PetscAssertPointer(type, 2);

5016:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
5017:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

5019:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
5020:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
5021:   /* Destroy the previous private SNES context */
5022:   PetscTryTypeMethod(snes, destroy);
5023:   /* Reinitialize type-specific function pointers in SNESOps structure */
5024:   snes->ops->reset          = NULL;
5025:   snes->ops->setup          = NULL;
5026:   snes->ops->solve          = NULL;
5027:   snes->ops->view           = NULL;
5028:   snes->ops->setfromoptions = NULL;
5029:   snes->ops->destroy        = NULL;

5031:   /* It may happen the user has customized the line search before calling SNESSetType */
5032:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5034:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5035:   snes->setupcalled = PETSC_FALSE;

5037:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5038:   PetscCall((*r)(snes));
5039:   PetscFunctionReturn(PETSC_SUCCESS);
5040: }

5042: /*@
5043:   SNESGetType - Gets the `SNES` method type and name (as a string).

5045:   Not Collective

5047:   Input Parameter:
5048: . snes - nonlinear solver context

5050:   Output Parameter:
5051: . type - `SNES` method (a character string)

5053:   Level: intermediate

5055: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
5056: @*/
5057: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5058: {
5059:   PetscFunctionBegin;
5061:   PetscAssertPointer(type, 2);
5062:   *type = ((PetscObject)snes)->type_name;
5063:   PetscFunctionReturn(PETSC_SUCCESS);
5064: }

5066: /*@
5067:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5069:   Logically Collective

5071:   Input Parameters:
5072: + snes - the `SNES` context obtained from `SNESCreate()`
5073: - u    - the solution vector

5075:   Level: beginner

5077: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5078: @*/
5079: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5080: {
5081:   DM dm;

5083:   PetscFunctionBegin;
5086:   PetscCall(PetscObjectReference((PetscObject)u));
5087:   PetscCall(VecDestroy(&snes->vec_sol));

5089:   snes->vec_sol = u;

5091:   PetscCall(SNESGetDM(snes, &dm));
5092:   PetscCall(DMShellSetGlobalVector(dm, u));
5093:   PetscFunctionReturn(PETSC_SUCCESS);
5094: }

5096: /*@
5097:   SNESGetSolution - Returns the vector where the approximate solution is
5098:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5100:   Not Collective, but `x` is parallel if `snes` is parallel

5102:   Input Parameter:
5103: . snes - the `SNES` context

5105:   Output Parameter:
5106: . x - the solution

5108:   Level: intermediate

5110: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5111: @*/
5112: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5113: {
5114:   PetscFunctionBegin;
5116:   PetscAssertPointer(x, 2);
5117:   *x = snes->vec_sol;
5118:   PetscFunctionReturn(PETSC_SUCCESS);
5119: }

5121: /*@
5122:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5123:   stored.

5125:   Not Collective, but `x` is parallel if `snes` is parallel

5127:   Input Parameter:
5128: . snes - the `SNES` context

5130:   Output Parameter:
5131: . x - the solution update

5133:   Level: advanced

5135: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5136: @*/
5137: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5138: {
5139:   PetscFunctionBegin;
5141:   PetscAssertPointer(x, 2);
5142:   *x = snes->vec_sol_update;
5143:   PetscFunctionReturn(PETSC_SUCCESS);
5144: }

5146: /*@C
5147:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5149:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5151:   Input Parameter:
5152: . snes - the `SNES` context

5154:   Output Parameters:
5155: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5156: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5157: - ctx - the function context (or `NULL` if you don't want it)

5159:   Level: advanced

5161:   Note:
5162:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5164: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5165: @*/
5166: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, void **ctx)
5167: {
5168:   DM dm;

5170:   PetscFunctionBegin;
5172:   if (r) {
5173:     if (!snes->vec_func) {
5174:       if (snes->vec_rhs) {
5175:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5176:       } else if (snes->vec_sol) {
5177:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5178:       } else if (snes->dm) {
5179:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5180:       }
5181:     }
5182:     *r = snes->vec_func;
5183:   }
5184:   PetscCall(SNESGetDM(snes, &dm));
5185:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5186:   PetscFunctionReturn(PETSC_SUCCESS);
5187: }

5189: /*@C
5190:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5192:   Input Parameter:
5193: . snes - the `SNES` context

5195:   Output Parameters:
5196: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5197: - ctx - the function context (or `NULL`)

5199:   Level: advanced

5201: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5202: @*/
5203: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, void **ctx)
5204: {
5205:   DM dm;

5207:   PetscFunctionBegin;
5209:   PetscCall(SNESGetDM(snes, &dm));
5210:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5211:   PetscFunctionReturn(PETSC_SUCCESS);
5212: }

5214: /*@
5215:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5216:   `SNES` options in the database.

5218:   Logically Collective

5220:   Input Parameters:
5221: + snes   - the `SNES` context
5222: - prefix - the prefix to prepend to all option names

5224:   Level: advanced

5226:   Note:
5227:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5228:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5230: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5231: @*/
5232: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5233: {
5234:   PetscFunctionBegin;
5236:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5237:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5238:   if (snes->linesearch) {
5239:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5240:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5241:   }
5242:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5243:   PetscFunctionReturn(PETSC_SUCCESS);
5244: }

5246: /*@
5247:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5248:   `SNES` options in the database.

5250:   Logically Collective

5252:   Input Parameters:
5253: + snes   - the `SNES` context
5254: - prefix - the prefix to prepend to all option names

5256:   Level: advanced

5258:   Note:
5259:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5260:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5262: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5263: @*/
5264: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5265: {
5266:   PetscFunctionBegin;
5268:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5269:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5270:   if (snes->linesearch) {
5271:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5272:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5273:   }
5274:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5275:   PetscFunctionReturn(PETSC_SUCCESS);
5276: }

5278: /*@
5279:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5280:   `SNES` options in the database.

5282:   Not Collective

5284:   Input Parameter:
5285: . snes - the `SNES` context

5287:   Output Parameter:
5288: . prefix - pointer to the prefix string used

5290:   Level: advanced

5292: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5293: @*/
5294: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5295: {
5296:   PetscFunctionBegin;
5298:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5299:   PetscFunctionReturn(PETSC_SUCCESS);
5300: }

5302: /*@C
5303:   SNESRegister - Adds a method to the nonlinear solver package.

5305:   Not Collective

5307:   Input Parameters:
5308: + sname    - name of a new user-defined solver
5309: - function - routine to create method context

5311:   Level: advanced

5313:   Note:
5314:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5316:   Example Usage:
5317: .vb
5318:    SNESRegister("my_solver", MySolverCreate);
5319: .ve

5321:   Then, your solver can be chosen with the procedural interface via
5322: .vb
5323:   SNESSetType(snes, "my_solver")
5324: .ve
5325:   or at runtime via the option
5326: .vb
5327:   -snes_type my_solver
5328: .ve

5330: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5331: @*/
5332: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5333: {
5334:   PetscFunctionBegin;
5335:   PetscCall(SNESInitializePackage());
5336:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5337:   PetscFunctionReturn(PETSC_SUCCESS);
5338: }

5340: PetscErrorCode SNESTestLocalMin(SNES snes)
5341: {
5342:   PetscInt    N, i, j;
5343:   Vec         u, uh, fh;
5344:   PetscScalar value;
5345:   PetscReal   norm;

5347:   PetscFunctionBegin;
5348:   PetscCall(SNESGetSolution(snes, &u));
5349:   PetscCall(VecDuplicate(u, &uh));
5350:   PetscCall(VecDuplicate(u, &fh));

5352:   /* currently only works for sequential */
5353:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5354:   PetscCall(VecGetSize(u, &N));
5355:   for (i = 0; i < N; i++) {
5356:     PetscCall(VecCopy(u, uh));
5357:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5358:     for (j = -10; j < 11; j++) {
5359:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5360:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5361:       PetscCall(SNESComputeFunction(snes, uh, fh));
5362:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5363:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5364:       value = -value;
5365:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5366:     }
5367:   }
5368:   PetscCall(VecDestroy(&uh));
5369:   PetscCall(VecDestroy(&fh));
5370:   PetscFunctionReturn(PETSC_SUCCESS);
5371: }

5373: /*@
5374:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5376:   Not Collective

5378:   Input Parameter:
5379: . snes - iterative context obtained from `SNESCreate()`

5381:   Output Parameter:
5382: . linesearch - linesearch context

5384:   Level: beginner

5386:   Notes:
5387:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5389:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5391: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5392: @*/
5393: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5394: {
5395:   const char *optionsprefix;

5397:   PetscFunctionBegin;
5399:   PetscAssertPointer(linesearch, 2);
5400:   if (!snes->linesearch) {
5401:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5402:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5403:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5404:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5405:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5406:   }
5407:   *linesearch = snes->linesearch;
5408:   PetscFunctionReturn(PETSC_SUCCESS);
5409: }

5411: /*@
5412:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5413:   computing relative tolerance for linear solvers within an inexact
5414:   Newton method.

5416:   Logically Collective

5418:   Input Parameters:
5419: + snes - `SNES` context
5420: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5422:   Options Database Keys:
5423: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5424: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5425: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5426: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5427: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5428: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5429: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5430: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5432:   Level: advanced

5434:   Note:
5435:   The default is to use a constant relative tolerance for
5436:   the inner linear solvers.  Alternatively, one can use the
5437:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5438:   is reset at each Newton iteration according progress of the nonlinear
5439:   solver.

5441: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5442: @*/
5443: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5444: {
5445:   PetscFunctionBegin;
5448:   snes->ksp_ewconv = flag;
5449:   PetscFunctionReturn(PETSC_SUCCESS);
5450: }

5452: /*@
5453:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5454:   for computing relative tolerance for linear solvers within an
5455:   inexact Newton method.

5457:   Not Collective

5459:   Input Parameter:
5460: . snes - `SNES` context

5462:   Output Parameter:
5463: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5465:   Level: advanced

5467: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5468: @*/
5469: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5470: {
5471:   PetscFunctionBegin;
5473:   PetscAssertPointer(flag, 2);
5474:   *flag = snes->ksp_ewconv;
5475:   PetscFunctionReturn(PETSC_SUCCESS);
5476: }

5478: /*@
5479:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5480:   convergence criteria for the linear solvers within an inexact
5481:   Newton method.

5483:   Logically Collective

5485:   Input Parameters:
5486: + snes      - `SNES` context
5487: . version   - version 1, 2 (default is 2), 3 or 4
5488: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5489: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5490: . gamma     - multiplicative factor for version 2 rtol computation
5491:              (0 <= gamma2 <= 1)
5492: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5493: . alpha2    - power for safeguard
5494: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5496:   Level: advanced

5498:   Notes:
5499:   Version 3 was contributed by Luis Chacon, June 2006.

5501:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5503: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5504: @*/
5505: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5506: {
5507:   SNESKSPEW *kctx;

5509:   PetscFunctionBegin;
5511:   kctx = (SNESKSPEW *)snes->kspconvctx;
5512:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5521:   if (version != PETSC_CURRENT) kctx->version = version;
5522:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5523:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5524:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5525:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5526:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5527:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5529:   PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1 to 4 are supported: %" PetscInt_FMT, kctx->version);
5530:   PetscCheck(kctx->rtol_0 >= 0.0 && kctx->rtol_0 < 1.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "0.0 <= rtol_0 < 1.0: %g", (double)kctx->rtol_0);
5531:   PetscCheck(kctx->rtol_max >= 0.0 && kctx->rtol_max < 1.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "0.0 <= rtol_max (%g) < 1.0", (double)kctx->rtol_max);
5532:   PetscCheck(kctx->gamma >= 0.0 && kctx->gamma <= 1.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "0.0 <= gamma (%g) <= 1.0", (double)kctx->gamma);
5533:   PetscCheck(kctx->alpha > 1.0 && kctx->alpha <= 2.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "1.0 < alpha (%g) <= 2.0", (double)kctx->alpha);
5534:   PetscCheck(kctx->threshold > 0.0 && kctx->threshold < 1.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "0.0 < threshold (%g) < 1.0", (double)kctx->threshold);
5535:   PetscFunctionReturn(PETSC_SUCCESS);
5536: }

5538: /*@
5539:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5540:   convergence criteria for the linear solvers within an inexact
5541:   Newton method.

5543:   Not Collective

5545:   Input Parameter:
5546: . snes - `SNES` context

5548:   Output Parameters:
5549: + version   - version 1, 2 (default is 2), 3 or 4
5550: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5551: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5552: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5553: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5554: . alpha2    - power for safeguard
5555: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5557:   Level: advanced

5559: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5560: @*/
5561: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5562: {
5563:   SNESKSPEW *kctx;

5565:   PetscFunctionBegin;
5567:   kctx = (SNESKSPEW *)snes->kspconvctx;
5568:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5569:   if (version) *version = kctx->version;
5570:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5571:   if (rtol_max) *rtol_max = kctx->rtol_max;
5572:   if (gamma) *gamma = kctx->gamma;
5573:   if (alpha) *alpha = kctx->alpha;
5574:   if (alpha2) *alpha2 = kctx->alpha2;
5575:   if (threshold) *threshold = kctx->threshold;
5576:   PetscFunctionReturn(PETSC_SUCCESS);
5577: }

5579: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5580: {
5581:   SNES       snes = (SNES)ctx;
5582:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5583:   PetscReal  rtol = PETSC_CURRENT, stol;

5585:   PetscFunctionBegin;
5586:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5587:   if (!snes->iter) {
5588:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5589:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5590:   } else {
5591:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5592:     if (kctx->version == 1) {
5593:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5594:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5595:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5596:     } else if (kctx->version == 2) {
5597:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5598:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5599:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5600:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5601:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5602:       /* safeguard: avoid sharp decrease of rtol */
5603:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5604:       stol = PetscMax(rtol, stol);
5605:       rtol = PetscMin(kctx->rtol_0, stol);
5606:       /* safeguard: avoid oversolving */
5607:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5608:       stol = PetscMax(rtol, stol);
5609:       rtol = PetscMin(kctx->rtol_0, stol);
5610:     } else /* if (kctx->version == 4) */ {
5611:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5612:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5613:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5614:       PetscReal rk   = ared / pred;
5615:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5616:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5617:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5618:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5620:       if (kctx->rtol_last_2 > kctx->v4_m3 && kctx->rtol_last > kctx->v4_m3 && kctx->rk_last_2 < kctx->v4_p1 && kctx->rk_last < kctx->v4_p1) rtol = kctx->v4_m4 * kctx->rtol_last;
5621:       kctx->rtol_last_2 = kctx->rtol_last;
5622:       kctx->rk_last_2   = kctx->rk_last;
5623:       kctx->rk_last     = rk;
5624:     }
5625:   }
5626:   /* safeguard: avoid rtol greater than rtol_max */
5627:   rtol = PetscMin(rtol, kctx->rtol_max);
5628:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5629:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5630:   PetscFunctionReturn(PETSC_SUCCESS);
5631: }

5633: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5634: {
5635:   SNES       snes = (SNES)ctx;
5636:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5637:   PCSide     pcside;
5638:   Vec        lres;

5640:   PetscFunctionBegin;
5641:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5642:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5643:   kctx->norm_last = snes->norm;
5644:   if (kctx->version == 1 || kctx->version == 4) {
5645:     PC        pc;
5646:     PetscBool getRes;

5648:     PetscCall(KSPGetPC(ksp, &pc));
5649:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5650:     if (!getRes) {
5651:       KSPNormType normtype;

5653:       PetscCall(KSPGetNormType(ksp, &normtype));
5654:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5655:     }
5656:     PetscCall(KSPGetPCSide(ksp, &pcside));
5657:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5658:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5659:     } else {
5660:       /* KSP residual is preconditioned residual */
5661:       /* compute true linear residual norm */
5662:       Mat J;
5663:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5664:       PetscCall(VecDuplicate(b, &lres));
5665:       PetscCall(MatMult(J, x, lres));
5666:       PetscCall(VecAYPX(lres, -1.0, b));
5667:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5668:       PetscCall(VecDestroy(&lres));
5669:     }
5670:   }
5671:   PetscFunctionReturn(PETSC_SUCCESS);
5672: }

5674: /*@
5675:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5677:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5679:   Input Parameter:
5680: . snes - the `SNES` context

5682:   Output Parameter:
5683: . ksp - the `KSP` context

5685:   Level: beginner

5687:   Notes:
5688:   The user can then directly manipulate the `KSP` context to set various
5689:   options, etc.  Likewise, the user can then extract and manipulate the
5690:   `PC` contexts as well.

5692:   Some `SNESType`s do not use a `KSP` but a `KSP` is still returned by this function, changes to that `KSP` will have no effect.

5694: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5695: @*/
5696: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5697: {
5698:   PetscFunctionBegin;
5700:   PetscAssertPointer(ksp, 2);

5702:   if (!snes->ksp) {
5703:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5704:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5706:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5707:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5709:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5710:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5711:   }
5712:   *ksp = snes->ksp;
5713:   PetscFunctionReturn(PETSC_SUCCESS);
5714: }

5716: #include <petsc/private/dmimpl.h>
5717: /*@
5718:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5720:   Logically Collective

5722:   Input Parameters:
5723: + snes - the nonlinear solver context
5724: - dm   - the `DM`, cannot be `NULL`

5726:   Level: intermediate

5728:   Note:
5729:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5730:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5731:   problems using the same function space.

5733: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5734: @*/
5735: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5736: {
5737:   KSP    ksp;
5738:   DMSNES sdm;

5740:   PetscFunctionBegin;
5743:   PetscCall(PetscObjectReference((PetscObject)dm));
5744:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5745:     if (snes->dm->dmsnes && !dm->dmsnes) {
5746:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5747:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5748:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5749:     }
5750:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5751:     PetscCall(DMDestroy(&snes->dm));
5752:   }
5753:   snes->dm     = dm;
5754:   snes->dmAuto = PETSC_FALSE;

5756:   PetscCall(SNESGetKSP(snes, &ksp));
5757:   PetscCall(KSPSetDM(ksp, dm));
5758:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5759:   if (snes->npc) {
5760:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5761:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5762:   }
5763:   PetscFunctionReturn(PETSC_SUCCESS);
5764: }

5766: /*@
5767:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5769:   Not Collective but `dm` obtained is parallel on `snes`

5771:   Input Parameter:
5772: . snes - the `SNES` context

5774:   Output Parameter:
5775: . dm - the `DM`

5777:   Level: intermediate

5779: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5780: @*/
5781: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5782: {
5783:   PetscFunctionBegin;
5785:   if (!snes->dm) {
5786:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5787:     snes->dmAuto = PETSC_TRUE;
5788:   }
5789:   *dm = snes->dm;
5790:   PetscFunctionReturn(PETSC_SUCCESS);
5791: }

5793: /*@
5794:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5796:   Collective

5798:   Input Parameters:
5799: + snes - iterative context obtained from `SNESCreate()`
5800: - npc  - the `SNES` nonlinear preconditioner object

5802:   Options Database Key:
5803: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5805:   Level: developer

5807:   Notes:
5808:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5810:   Only some `SNESType` can use a nonlinear preconditioner

5812: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5813: @*/
5814: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5815: {
5816:   PetscFunctionBegin;
5819:   PetscCheckSameComm(snes, 1, npc, 2);
5820:   PetscCall(PetscObjectReference((PetscObject)npc));
5821:   PetscCall(SNESDestroy(&snes->npc));
5822:   snes->npc = npc;
5823:   PetscFunctionReturn(PETSC_SUCCESS);
5824: }

5826: /*@
5827:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5829:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5831:   Input Parameter:
5832: . snes - iterative context obtained from `SNESCreate()`

5834:   Output Parameter:
5835: . pc - the `SNES` preconditioner context

5837:   Options Database Key:
5838: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5840:   Level: advanced

5842:   Notes:
5843:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5844:   be used as the nonlinear preconditioner for the current `SNES`.

5846:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5847:   `SNES`. These may be overwritten if needed.

5849:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5851: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5852: @*/
5853: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5854: {
5855:   const char *optionsprefix;

5857:   PetscFunctionBegin;
5859:   PetscAssertPointer(pc, 2);
5860:   if (!snes->npc) {
5861:     void *ctx;

5863:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5864:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5865:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5866:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5867:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5868:     if (snes->ops->usercompute) {
5869:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->usercompute, snes->ops->ctxdestroy));
5870:     } else {
5871:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5872:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5873:     }
5874:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5875:   }
5876:   *pc = snes->npc;
5877:   PetscFunctionReturn(PETSC_SUCCESS);
5878: }

5880: /*@
5881:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5883:   Not Collective

5885:   Input Parameter:
5886: . snes - iterative context obtained from `SNESCreate()`

5888:   Output Parameter:
5889: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5891:   Level: developer

5893: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5894: @*/
5895: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5896: {
5897:   PetscFunctionBegin;
5899:   PetscAssertPointer(has_npc, 2);
5900:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5901:   PetscFunctionReturn(PETSC_SUCCESS);
5902: }

5904: /*@
5905:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5907:   Logically Collective

5909:   Input Parameter:
5910: . snes - iterative context obtained from `SNESCreate()`

5912:   Output Parameter:
5913: . side - the preconditioning side, where side is one of
5914: .vb
5915:       PC_LEFT  - left preconditioning
5916:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5917: .ve

5919:   Options Database Key:
5920: . -snes_npc_side <right,left> - nonlinear preconditioner side

5922:   Level: intermediate

5924:   Note:
5925:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5927: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5928: @*/
5929: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5930: {
5931:   PetscFunctionBegin;
5934:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5935:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5936:   snes->npcside = side;
5937:   PetscFunctionReturn(PETSC_SUCCESS);
5938: }

5940: /*@
5941:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5943:   Not Collective

5945:   Input Parameter:
5946: . snes - iterative context obtained from `SNESCreate()`

5948:   Output Parameter:
5949: . side - the preconditioning side, where side is one of
5950: .vb
5951:       `PC_LEFT` - left preconditioning
5952:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5953: .ve

5955:   Level: intermediate

5957: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5958: @*/
5959: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5960: {
5961:   PetscFunctionBegin;
5963:   PetscAssertPointer(side, 2);
5964:   *side = snes->npcside;
5965:   PetscFunctionReturn(PETSC_SUCCESS);
5966: }

5968: /*@
5969:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

5971:   Collective

5973:   Input Parameters:
5974: + snes       - iterative context obtained from `SNESCreate()`
5975: - linesearch - the linesearch object

5977:   Level: developer

5979:   Note:
5980:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5981:   to configure it using the API).

5983: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5984: @*/
5985: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5986: {
5987:   PetscFunctionBegin;
5990:   PetscCheckSameComm(snes, 1, linesearch, 2);
5991:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5992:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5994:   snes->linesearch = linesearch;
5995:   PetscFunctionReturn(PETSC_SUCCESS);
5996: }