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>
  8: #include <petscpreload.h>

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

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

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

 20:   Logically Collective

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

 26:   Options Database Key:
 27: . -snes_error_if_not_converged (true|false) - cause an immediate error condition and stop the program if the solver does not converge

 29:   Level: intermediate

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

 35: .seealso: [](ch_snes), `SNES`, `SNESGetErrorIfNotConverged()`, `KSPGetErrorIfNotConverged()`, `KSPSetErrorIfNotConverged()`
 36: @*/
 37: PetscErrorCode SNESSetErrorIfNotConverged(SNES snes, PetscBool flg)
 38: {
 39:   PetscFunctionBegin;
 42:   snes->errorifnotconverged = flg;
 43:   PetscFunctionReturn(PETSC_SUCCESS);
 44: }

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

 49:   Not Collective

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

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

 57:   Level: intermediate

 59: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetErrorIfNotConverged()`, `KSPGetErrorIfNotConverged()`, `KSPSetErrorIfNotConverged()`
 60: @*/
 61: PetscErrorCode SNESGetErrorIfNotConverged(SNES snes, PetscBool *flag)
 62: {
 63:   PetscFunctionBegin;
 65:   PetscAssertPointer(flag, 2);
 66:   *flag = snes->errorifnotconverged;
 67:   PetscFunctionReturn(PETSC_SUCCESS);
 68: }

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

 73:   Logically Collective

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

 79:   Level: advanced

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

 85: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSolve()`, `SNESGetAlwaysComputesFinalResidual()`
 86: @*/
 87: PetscErrorCode SNESSetAlwaysComputesFinalResidual(SNES snes, PetscBool flg)
 88: {
 89:   PetscFunctionBegin;
 91:   snes->alwayscomputesfinalresidual = flg;
 92:   PetscFunctionReturn(PETSC_SUCCESS);
 93: }

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

 98:   Logically Collective

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

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

106:   Level: advanced

108: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSolve()`, `SNESSetAlwaysComputesFinalResidual()`
109: @*/
110: PetscErrorCode SNESGetAlwaysComputesFinalResidual(SNES snes, PetscBool *flg)
111: {
112:   PetscFunctionBegin;
114:   *flg = snes->alwayscomputesfinalresidual;
115:   PetscFunctionReturn(PETSC_SUCCESS);
116: }

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

122:   Not Collective

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

127:   Level: advanced

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

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

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

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

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

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

145: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
146:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`,
147:           `SNES_DIVERGED_FUNCTION_DOMAIN`, `SNESSetObjectiveDomainError()`, `SNES_DIVERGED_OBJECTIVE_DOMAIN`
148: @*/
149: PetscErrorCode SNESSetFunctionDomainError(SNES snes)
150: {
151:   PetscFunctionBegin;
153:   snes->functiondomainerror = PETSC_TRUE;
154:   PetscFunctionReturn(PETSC_SUCCESS);
155: }

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

161:   Not Collective

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

166:   Level: advanced

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

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

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

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

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

181:   Developer Note:
182:   This value is used by `SNESCheckObjectiveDomainError()` to determine if the `SNESConvergedReason` is set to `SNES_DIVERGED_OBJECTIVE_DOMAIN`

184: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
185:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`,
186:           `SNES_DIVERGED_OBJECTIVE_DOMAIN`, `SNESSetFunctionDomainError()`, `SNES_DIVERGED_FUNCTION_DOMAIN`
187: @*/
188: PetscErrorCode SNESSetObjectiveDomainError(SNES snes)
189: {
190:   PetscFunctionBegin;
192:   snes->objectivedomainerror = PETSC_TRUE;
193:   PetscFunctionReturn(PETSC_SUCCESS);
194: }

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

199:   Logically Collective

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

204:   Level: advanced

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

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

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

214: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESVISetVariableBounds()`,
215:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`
216: @*/
217: PetscErrorCode SNESSetJacobianDomainError(SNES snes)
218: {
219:   PetscFunctionBegin;
221:   PetscCheck(!snes->errorifnotconverged, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "User code indicates computeJacobian does not make sense");
222:   snes->jacobiandomainerror = PETSC_TRUE;
223:   PetscFunctionReturn(PETSC_SUCCESS);
224: }

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

230:   Logically Collective

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

236:   Level: advanced

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

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

243: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESGetCheckJacobianDomainError()`
244: @*/
245: PetscErrorCode SNESSetCheckJacobianDomainError(SNES snes, PetscBool flg)
246: {
247:   PetscFunctionBegin;
249:   snes->checkjacdomainerror = flg;
250:   PetscFunctionReturn(PETSC_SUCCESS);
251: }

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

256:   Logically Collective

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

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

264:   Level: advanced

266: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESSetCheckJacobianDomainError()`
267: @*/
268: PetscErrorCode SNESGetCheckJacobianDomainError(SNES snes, PetscBool *flg)
269: {
270:   PetscFunctionBegin;
272:   PetscAssertPointer(flg, 2);
273:   *flg = snes->checkjacdomainerror;
274:   PetscFunctionReturn(PETSC_SUCCESS);
275: }

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

280:   Collective

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

287:   Level: intermediate

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

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

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

309:   PetscCall(PetscViewerBinaryRead(viewer, &classid, 1, NULL, PETSC_INT));
310:   PetscCheck(classid == SNES_FILE_CLASSID, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Not SNES next in file");
311:   PetscCall(PetscViewerBinaryRead(viewer, type, 256, NULL, PETSC_CHAR));
312:   PetscCall(SNESSetType(snes, type));
313:   PetscTryTypeMethod(snes, load, viewer);
314:   PetscCall(SNESGetDM(snes, &dm));
315:   PetscCall(DMGetDMSNES(dm, &dmsnes));
316:   PetscCall(DMSNESLoad(dmsnes, viewer));
317:   PetscCall(SNESGetKSP(snes, &ksp));
318:   PetscCall(KSPLoad(ksp, viewer));
319:   PetscFunctionReturn(PETSC_SUCCESS);
320: }

322: #include <petscdraw.h>
323: #if PetscDefined(HAVE_SAWS)
324: #include <petscviewersaws.h>
325: #endif

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

330:   Collective

332:   Input Parameters:
333: + A    - the `SNES` context
334: . obj  - optional object that provides the options prefix for the checks, pass `NULL` to use the options prefix of `A`
335: - name - command line option

337:   Options Database Key:
338: . -name viewer_specification - See `PetscOptionsCreateViewer()` for the values of `viewer_specification`

340:   Level: intermediate

342:   Note:
343:   This checks the options database, creates the viewer on-the-fly, uses it and then destroys it. Hence it should not be called in heavily used routines,
344:   rather `PetscOptionsCreateViewer()` should be used to construct the viewer once which can then be utilized in the heavily used routine.

346: .seealso: [](ch_snes), `SNES`, `SNESView()`, `PetscObjectViewFromOptions()`, `SNESCreate()`, `PetscOptionsCreateViewer()`
347: @*/
348: PetscErrorCode SNESViewFromOptions(SNES A, PetscObject obj, const char name[])
349: {
350:   PetscFunctionBegin;
352:   PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
353:   PetscFunctionReturn(PETSC_SUCCESS);
354: }

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

358: /*@
359:   SNESView - Prints or visualizes the `SNES` data structure.

361:   Collective

363:   Input Parameters:
364: + snes   - the `SNES` context
365: - viewer - the `PetscViewer`

367:   Options Database Key:
368: . -snes_view viewer_specification - Calls `SNESView()` at end of `SNESSolve()`, see `PetscOptionsCreateViewer()` for the format of `viewer_specification`

370:   Level: beginner

372:   Notes:
373:   The available visualization contexts include
374: +     `PETSC_VIEWER_STDOUT_SELF` - standard output (default)
375: -     `PETSC_VIEWER_STDOUT_WORLD` - synchronized standard
376:   output where only the first processor opens
377:   the file.  All other processors send their
378:   data to the first processor to print.

380:   The available formats include
381: +     `PETSC_VIEWER_DEFAULT` - standard output (default)
382: -     `PETSC_VIEWER_ASCII_INFO_DETAIL` - more verbose output for `SNESNASM`

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

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

389: .seealso: [](ch_snes), `SNES`, `SNESLoad()`, `SNESCreate()`, `PetscViewerASCIIOpen()`, `SNESViewFromOptions()`, `PetscOptionsCreateViewer()`
390: @*/
391: PetscErrorCode SNESView(SNES snes, PetscViewer viewer)
392: {
393:   SNESKSPEW     *kctx;
394:   KSP            ksp;
395:   Vec            u;
396:   SNESLineSearch linesearch;
397:   PetscBool      isascii, isstring, isbinary, isdraw;
398:   DMSNES         dmsnes;
399: #if PetscDefined(HAVE_SAWS)
400:   PetscBool issaws;
401: #endif

403:   PetscFunctionBegin;
405:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &viewer));
407:   PetscCheckSameComm(snes, 1, viewer, 2);

409:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
410:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSTRING, &isstring));
411:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
412:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
413: #if PetscDefined(HAVE_SAWS)
414:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSAWS, &issaws));
415: #endif
416:   if (isascii) {
417:     SNESNormSchedule normschedule;
418:     DM               dm;
419:     SNESJacobianFn  *cJ;
420:     void            *ctx;
421:     const char      *pre = "";

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

492:     PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
493:     PetscCallMPI(MPI_Comm_rank(comm, &rank));
494:     if (rank == 0) {
495:       PetscCall(PetscViewerBinaryWrite(viewer, &classid, 1, PETSC_INT));
496:       PetscCall(PetscStrncpy(type, ((PetscObject)snes)->type_name, sizeof(type)));
497:       PetscCall(PetscViewerBinaryWrite(viewer, type, sizeof(type), PETSC_CHAR));
498:     }
499:     PetscTryTypeMethod(snes, view, viewer);
500:   } else if (isdraw) {
501:     PetscDraw draw;
502:     char      str[36];
503:     PetscReal x, y, bottom, h;

505:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
506:     PetscCall(PetscDrawGetCurrentPoint(draw, &x, &y));
507:     PetscCall(PetscStrncpy(str, "SNES: ", sizeof(str)));
508:     PetscCall(PetscStrlcat(str, ((PetscObject)snes)->type_name, sizeof(str)));
509:     PetscCall(PetscDrawStringBoxed(draw, x, y, PETSC_DRAW_BLUE, PETSC_DRAW_BLACK, str, NULL, &h));
510:     bottom = y - h;
511:     PetscCall(PetscDrawPushCurrentPoint(draw, x, bottom));
512:     PetscTryTypeMethod(snes, view, viewer);
513: #if PetscDefined(HAVE_SAWS)
514:   } else if (issaws) {
515:     PetscMPIInt rank;
516:     const char *name;

518:     PetscCall(PetscObjectGetName((PetscObject)snes, &name));
519:     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
520:     if (!((PetscObject)snes)->amsmem && rank == 0) {
521:       char dir[1024];

523:       PetscCall(PetscObjectViewSAWs((PetscObject)snes, viewer));
524:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/its", name));
525:       PetscCallSAWs(SAWs_Register, dir, &snes->iter, 1, SAWs_READ, SAWs_INT);
526:       if (!snes->conv_hist) PetscCall(SNESSetConvergenceHistory(snes, NULL, NULL, PETSC_DECIDE, PETSC_TRUE));
527:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/conv_hist", name));
528:       PetscCallSAWs(SAWs_Register, dir, snes->conv_hist, 10, SAWs_READ, SAWs_DOUBLE);
529:     }
530: #endif
531:   }
532:   if (snes->linesearch) {
533:     PetscCall(SNESGetLineSearch(snes, &linesearch));
534:     PetscCall(PetscViewerASCIIPushTab(viewer));
535:     PetscCall(SNESLineSearchView(linesearch, viewer));
536:     PetscCall(PetscViewerASCIIPopTab(viewer));
537:   }
538:   if (snes->npc && snes->usesnpc) {
539:     PetscCall(PetscViewerASCIIPushTab(viewer));
540:     PetscCall(SNESView(snes->npc, viewer));
541:     PetscCall(PetscViewerASCIIPopTab(viewer));
542:   }
543:   PetscCall(PetscViewerASCIIPushTab(viewer));
544:   PetscCall(DMGetDMSNES(snes->dm, &dmsnes));
545:   PetscCall(DMSNESView(dmsnes, viewer));
546:   PetscCall(PetscViewerASCIIPopTab(viewer));
547:   if (snes->usesksp) {
548:     PetscCall(SNESGetKSP(snes, &ksp));
549:     PetscCall(PetscViewerASCIIPushTab(viewer));
550:     PetscCall(KSPView(ksp, viewer));
551:     PetscCall(PetscViewerASCIIPopTab(viewer));
552:   } else {
553:     PetscViewerFormat format;

555:     PetscCall(SNESGetSolution(snes, &u));
556:     PetscCall(PetscViewerGetFormat(viewer, &format));
557:     if (u && isascii) {
558:       if (format != PETSC_VIEWER_ASCII_INFO_DETAIL) PetscCall(PetscViewerPushFormat(viewer, PETSC_VIEWER_ASCII_INFO));
559:       PetscCall(PetscViewerASCIIPrintf(viewer, "solution vector:\n"));
560:       PetscCall(PetscViewerASCIIPushTab(viewer));
561:       PetscCall(VecView(u, viewer));
562:       PetscCall(PetscViewerASCIIPopTab(viewer));
563:       if (format != PETSC_VIEWER_ASCII_INFO_DETAIL) PetscCall(PetscViewerPopFormat(viewer));
564:     }
565:   }
566:   if (isdraw) {
567:     PetscDraw draw;
568:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
569:     PetscCall(PetscDrawPopCurrentPoint(draw));
570:   }
571:   PetscFunctionReturn(PETSC_SUCCESS);
572: }

574: /*
575:   We retain a list of functions that also take SNES command
576:   line options. These are called at the end SNESSetFromOptions()
577: */
578: #define MAXSETFROMOPTIONS 5
579: static PetscInt numberofsetfromoptions;
580: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

582: /*@
583:   SNESAddOptionsChecker - Adds an additional function to check for `SNES` options.

585:   Not Collective

587:   Input Parameter:
588: . snescheck - function that checks for options

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

593:   Level: developer

595: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
596: @*/
597: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
598: {
599:   PetscFunctionBegin;
600:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
601:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
602:   PetscFunctionReturn(PETSC_SUCCESS);
603: }

605: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
606: {
607:   Mat          J;
608:   MatNullSpace nullsp;

610:   PetscFunctionBegin;

613:   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
614:     Mat A = snes->jacobian, B = snes->jacobian_pre;
615:     PetscCall(MatCreateVecs(A ? A : B, NULL, &snes->vec_func));
616:   }

618:   PetscCheck(version == 1 || version == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "matrix-free operator routines, only version 1 and 2");
619:   if (version == 1) {
620:     PetscCall(MatCreateSNESMF(snes, &J));
621:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
622:     PetscCall(MatSetFromOptions(J));
623:     /* TODO: the version 2 code should be merged into the MatCreateSNESMF() and MatCreateMFFD() infrastructure and then removed */
624:   } else /* if (version == 2) */ {
625:     PetscCheck(snes->vec_func, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "SNESSetFunction() must be called first");
626: #if !PetscDefined(USE_COMPLEX) && !PetscDefined(USE_REAL_SINGLE) && !PetscDefined(USE_REAL___FLOAT128) && !PetscDefined(USE_REAL___FP16)
627:     PetscCall(MatCreateSNESMFMore(snes, snes->vec_func, &J));
628: #else
629:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix-free operator routines (version 2)");
630: #endif
631:   }

633:   /* attach any user provided null space that was on Amat to the newly created matrix-free matrix */
634:   if (snes->jacobian) {
635:     PetscCall(MatGetNullSpace(snes->jacobian, &nullsp));
636:     if (nullsp) PetscCall(MatSetNullSpace(J, nullsp));
637:   }

639:   PetscCall(PetscInfo(snes, "Setting default matrix-free operator routines (version %" PetscInt_FMT ")\n", version));
640:   if (hasOperator) {
641:     /* This version replaces the user provided Jacobian matrix with a
642:        matrix-free version but still employs the user-provided matrix used for computing the preconditioner. */
643:     PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
644:   } else {
645:     /* This version replaces both the user-provided Jacobian and the user-
646:      provided preconditioner Jacobian with the default matrix-free version. */
647:     if (snes->npcside == PC_LEFT && snes->npc) {
648:       if (!snes->jacobian) PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
649:     } else PetscCall(SNESSetJacobian(snes, J, J, MatMFFDComputeJacobian, NULL));
650:   }
651:   PetscCall(MatDestroy(&J));
652:   PetscFunctionReturn(PETSC_SUCCESS);
653: }

655: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, PetscCtx ctx)
656: {
657:   SNES snes = (SNES)ctx;
658:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

660:   PetscFunctionBegin;
661:   if (PetscLogPrintInfo) {
662:     PetscInt finelevel, coarselevel, fineclevel, coarseclevel;
663:     PetscCall(DMGetRefineLevel(dmfine, &finelevel));
664:     PetscCall(DMGetCoarsenLevel(dmfine, &fineclevel));
665:     PetscCall(DMGetRefineLevel(dmcoarse, &coarselevel));
666:     PetscCall(DMGetCoarsenLevel(dmcoarse, &coarseclevel));
667:     PetscCall(PetscInfo(dmfine, "Restricting SNES solution vector from level %" PetscInt_FMT "-%" PetscInt_FMT " to level %" PetscInt_FMT "-%" PetscInt_FMT "\n", finelevel, fineclevel, coarselevel, coarseclevel));
668:   }
669:   if (dmfine == snes->dm) Xfine = snes->vec_sol;
670:   else {
671:     PetscCall(DMGetNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
672:     Xfine = Xfine_named;
673:   }
674:   PetscCall(DMGetNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
675:   if (Inject) {
676:     PetscCall(MatRestrict(Inject, Xfine, Xcoarse));
677:   } else {
678:     PetscCall(MatRestrict(Restrict, Xfine, Xcoarse));
679:     PetscCall(VecPointwiseMult(Xcoarse, Xcoarse, Rscale));
680:   }
681:   PetscCall(DMRestoreNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
682:   if (Xfine_named) PetscCall(DMRestoreNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
683:   PetscFunctionReturn(PETSC_SUCCESS);
684: }

686: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, PetscCtx ctx)
687: {
688:   PetscFunctionBegin;
689:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
690:   PetscFunctionReturn(PETSC_SUCCESS);
691: }

693: /* This may be called to rediscretize the operator on levels of linear multigrid. The DM shuffle is so the user can
694:  * safely call SNESGetDM() in their residual evaluation routine. */
695: static PetscErrorCode KSPComputeOperators_SNES(KSP ksp, Mat A, Mat B, PetscCtx ctx)
696: {
697:   SNES            snes = (SNES)ctx;
698:   DMSNES          sdm;
699:   Vec             X, Xnamed = NULL;
700:   DM              dmsave;
701:   void           *ctxsave;
702:   SNESJacobianFn *jac = NULL;

704:   PetscFunctionBegin;
705:   dmsave = snes->dm;
706:   PetscCall(KSPGetDM(ksp, &snes->dm));
707:   if (dmsave == snes->dm) X = snes->vec_sol; /* We are on the finest level */
708:   else {
709:     PetscBool has;

711:     /* We are on a coarser level, this vec was initialized using a DM restrict hook */
712:     PetscCall(DMHasNamedGlobalVector(snes->dm, "SNESVecSol", &has));
713:     PetscCheck(has, PetscObjectComm((PetscObject)snes->dm), PETSC_ERR_PLIB, "Missing SNESVecSol");
714:     PetscCall(DMGetNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
715:     X = Xnamed;
716:     PetscCall(SNESGetJacobian(snes, NULL, NULL, &jac, &ctxsave));
717:     /* If the DM's don't match up, the MatFDColoring context needed for the jacobian won't match up either -- fixit. */
718:     if (jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, SNESComputeJacobianDefaultColor, NULL));
719:   }

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

728:     snes->vec_rhs = NULL;
729:     PetscCall(DMGetGlobalVector(snes->dm, &F));
730:     PetscCall(SNESComputeFunction(snes, X, F));
731:     PetscCall(DMRestoreGlobalVector(snes->dm, &F));
732:     snes->vec_rhs = saverhs;
733:     snes->nfuncs--; /* Do not log coarser level evaluations */
734:   }
735:   /* Make sure KSP DM has the Jacobian computation routine */
736:   if (!sdm->ops->computejacobian) PetscCall(DMCopyDMSNES(dmsave, snes->dm));
737:   PetscCall(SNESComputeJacobian(snes, X, A, B)); /* cannot handle previous SNESSetJacobianDomainError() calls */

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

742:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
743:   snes->dm = dmsave;
744:   PetscFunctionReturn(PETSC_SUCCESS);
745: }

747: /*@
748:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

750:   Collective

752:   Input Parameter:
753: . snes - `SNES` object to configure

755:   Level: developer

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

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

765: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
766: @*/
767: PetscErrorCode SNESSetUpMatrices(SNES snes)
768: {
769:   DM     dm;
770:   DMSNES sdm;

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

799:     J = snes->jacobian;
800:     PetscCall(DMGetDS(dm, &prob));
801:     if (prob) PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
802:     if (!J && hasPrec) PetscCall(DMCreateMatrix(snes->dm, &J));
803:     else PetscCall(PetscObjectReference((PetscObject)J));
804:     PetscCall(DMCreateMatrix(snes->dm, &B));
805:     PetscCall(SNESSetJacobian(snes, J ? J : B, B, NULL, NULL));
806:     PetscCall(MatDestroy(&J));
807:     PetscCall(MatDestroy(&B));
808:   }
809:   {
810:     KSP ksp;
811:     PetscCall(SNESGetKSP(snes, &ksp));
812:     PetscCall(KSPSetComputeOperators(ksp, KSPComputeOperators_SNES, snes));
813:     PetscCall(DMCoarsenHookAdd(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
814:   }
815:   PetscFunctionReturn(PETSC_SUCCESS);
816: }

818: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, PetscCtx);

820: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
821: {
822:   PetscFunctionBegin;
823:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
824:   PetscCall(PetscMonitorPauseFinal_Internal(snes->numbermonitors, snes->monitorcontext));
825:   PetscFunctionReturn(PETSC_SUCCESS);
826: }

828: /*@
829:   SNESMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user

831:   Collective

833:   Input Parameters:
834: + snes         - `SNES` object you wish to monitor
835: . name         - the monitor type one is seeking
836: . help         - message indicating what monitoring is done
837: . manual       - manual page for the monitor
838: . monitor      - the monitor function, this must use a `PetscViewerFormat` as its context
839: - 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

841:   Calling sequence of `monitor`:
842: + snes - the nonlinear solver context
843: . it   - the current iteration
844: . r    - the current function norm
845: - vf   - a `PetscViewerAndFormat` struct that contains the `PetscViewer` and `PetscViewerFormat` to use

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

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

854:   Level: advanced

856: .seealso: [](ch_snes), `PetscOptionsCreateViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
857:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`,
858:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
859:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
860:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
861:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
862:           `PetscOptionsFList()`, `PetscOptionsEList()`
863: @*/
864: 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))
865: {
866:   PetscViewer       viewer;
867:   PetscViewerFormat format;
868:   PetscBool         flg;

870:   PetscFunctionBegin;
871:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, name, &viewer, &format, &flg));
872:   if (flg) {
873:     PetscViewerAndFormat *vf;
874:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
875:     PetscCall(PetscViewerDestroy(&viewer));
876:     if (monitorsetup) PetscCall((*monitorsetup)(snes, vf));
877:     PetscCall(SNESMonitorSet(snes, (PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscCtx))monitor, vf, (PetscCtxDestroyFn *)PetscViewerAndFormatDestroy));
878:   }
879:   PetscFunctionReturn(PETSC_SUCCESS);
880: }

882: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
883: {
884:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

886:   PetscFunctionBegin;
887:   PetscOptionsBegin(comm, prefix, "Eisenstat and Walker type forcing options", "KSP");
888:   PetscCall(PetscOptionsInt("-ksp_ew_version", "Version 1, 2 or 3", api, kctx->version, &kctx->version, NULL));
889:   PetscCall(PetscOptionsReal("-ksp_ew_rtol0", "0 <= rtol0 < 1", api, kctx->rtol_0, &kctx->rtol_0, NULL));
890:   kctx->rtol_max = PetscMax(kctx->rtol_0, kctx->rtol_max);
891:   PetscCall(PetscOptionsReal("-ksp_ew_rtolmax", "0 <= rtolmax < 1", api, kctx->rtol_max, &kctx->rtol_max, NULL));
892:   PetscCall(PetscOptionsReal("-ksp_ew_gamma", "0 <= gamma <= 1", api, kctx->gamma, &kctx->gamma, NULL));
893:   PetscCall(PetscOptionsReal("-ksp_ew_alpha", "1 < alpha <= 2", api, kctx->alpha, &kctx->alpha, NULL));
894:   PetscCall(PetscOptionsReal("-ksp_ew_alpha2", "alpha2", NULL, kctx->alpha2, &kctx->alpha2, NULL));
895:   PetscCall(PetscOptionsReal("-ksp_ew_threshold", "0 < threshold < 1", api, kctx->threshold, &kctx->threshold, NULL));
896:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p1", "p1", NULL, kctx->v4_p1, &kctx->v4_p1, NULL));
897:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p2", "p2", NULL, kctx->v4_p2, &kctx->v4_p2, NULL));
898:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p3", "p3", NULL, kctx->v4_p3, &kctx->v4_p3, NULL));
899:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m1", "Scaling when rk-1 in [p2,p3)", NULL, kctx->v4_m1, &kctx->v4_m1, NULL));
900:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m2", "Scaling when rk-1 in [p3,+infty)", NULL, kctx->v4_m2, &kctx->v4_m2, NULL));
901:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m3", "Threshold for successive rtol (0.1 in Eq.7)", NULL, kctx->v4_m3, &kctx->v4_m3, NULL));
902:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m4", "Adaptation scaling (0.5 in Eq.7)", NULL, kctx->v4_m4, &kctx->v4_m4, NULL));
903:   PetscOptionsEnd();
904:   PetscFunctionReturn(PETSC_SUCCESS);
905: }

907: /*@
908:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

910:   Collective

912:   Input Parameter:
913: . snes - the `SNES` context

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

950:   Options Database Keys for Eisenstat-Walker method:
951: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
952: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
953: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
954: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
955: . -snes_ksp_ew_gamma gamma         - Sets gamma
956: . -snes_ksp_ew_alpha alpha         - Sets alpha
957: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
958: - -snes_ksp_ew_threshold threshold - Sets threshold

960:   Level: beginner

962:   Notes:
963:   See `PetscOptionsCreateViewer()` for the format of `viewer_specification`

965:   See `KSPSetFromOptions()` for the `KSP` options database keys

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

969:   See `SNESLineSearchSetFromOptions()` for all the line search options available

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

975: .seealso: [](ch_snes), `SNESType`, `SNESSetOptionsPrefix()`, `SNESResetFromOptions()`, `SNES`, `SNESCreate()`, `MatCreateSNESMF()`, `MatFDColoring`, `SNESLineSearchSetFromOptions()`
976: @*/
977: PetscErrorCode SNESSetFromOptions(SNES snes)
978: {
979:   PetscBool   flg, pcset, persist, set;
980:   PetscInt    i, indx, lag, grids, max_its, max_funcs;
981:   const char *deft        = SNESNEWTONLS;
982:   const char *convtests[] = {"default", "skip", "correct_pressure"};
983:   SNESKSPEW  *kctx        = NULL;
984:   char        type[256], monfilename[PETSC_MAX_PATH_LEN], ewprefix[256];
985:   PCSide      pcside;
986:   const char *optionsprefix;
987:   PetscReal   rtol, abstol, stol;

989:   PetscFunctionBegin;
991:   PetscCall(SNESRegisterAll());
992:   PetscObjectOptionsBegin((PetscObject)snes);
993:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
994:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, sizeof(type), &flg));
995:   if (flg) PetscCall(SNESSetType(snes, type));
996:   else if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, deft));

998:   abstol    = snes->abstol;
999:   rtol      = snes->rtol;
1000:   stol      = snes->stol;
1001:   max_its   = snes->max_its;
1002:   max_funcs = snes->max_funcs;
1003:   PetscCall(PetscOptionsReal("-snes_rtol", "Stop if decrease in function norm less than", "SNESSetTolerances", snes->rtol, &rtol, NULL));
1004:   PetscCall(PetscOptionsReal("-snes_atol", "Stop if function norm less than", "SNESSetTolerances", snes->abstol, &abstol, NULL));
1005:   PetscCall(PetscOptionsReal("-snes_stol", "Stop if step length less than", "SNESSetTolerances", snes->stol, &stol, NULL));
1006:   PetscCall(PetscOptionsInt("-snes_max_it", "Maximum iterations", "SNESSetTolerances", snes->max_its, &max_its, NULL));
1007:   PetscCall(PetscOptionsInt("-snes_max_funcs", "Maximum function evaluations", "SNESSetTolerances", snes->max_funcs, &max_funcs, NULL));
1008:   PetscCall(SNESSetTolerances(snes, abstol, rtol, stol, max_its, max_funcs));

1010:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, &flg));
1011:   if (flg) PetscCall(SNESSetDivergenceTolerance(snes, snes->divtol));

1013:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
1014:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1016:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1017:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1019:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1020:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1021:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1023:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1024:   if (flg) {
1025:     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");
1026:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1027:   }
1028:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1029:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1030:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1031:   if (flg) {
1032:     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");
1033:     PetscCall(SNESSetLagJacobian(snes, lag));
1034:   }
1035:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1036:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1038:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1039:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1041:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1042:   if (flg) {
1043:     switch (indx) {
1044:     case 0:
1045:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1046:       break;
1047:     case 1:
1048:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1049:       break;
1050:     case 2:
1051:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1052:       break;
1053:     }
1054:   }

1056:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1057:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1059:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1060:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1062:   kctx = (SNESKSPEW *)snes->kspconvctx;

1064:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1066:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1067:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1068:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1070:   flg = PETSC_FALSE;
1071:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1072:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1074:   PetscCall(PetscOptionsDeprecated("-snes_monitor_short", "-snes_monitor", "3.26", NULL));
1075:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1076:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1078:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1079:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1080:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1081:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1082:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1083:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1084:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1085:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1087:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1088:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1090:   flg = PETSC_FALSE;
1091:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1092:   if (flg) {
1093:     PetscViewer ctx;

1095:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1096:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1097:   }

1099:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1100:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1101:   flg = PETSC_FALSE;
1102:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1103:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1105:   flg = PETSC_FALSE;
1106:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1107:   if (flg) {
1108:     void *functx;
1109:     DM    dm;
1110:     PetscCall(SNESGetDM(snes, &dm));
1111:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1112:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1113:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1114:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1115:   }

1117:   flg = PETSC_FALSE;
1118:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1119:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1121:   flg = PETSC_FALSE;
1122:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1123:   if (flg) {
1124:     DM dm;
1125:     PetscCall(SNESGetDM(snes, &dm));
1126:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1127:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1128:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1129:   }

1131:   flg = PETSC_FALSE;
1132:   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));
1133:   if (flg && snes->mf_operator) {
1134:     snes->mf_operator = PETSC_TRUE;
1135:     snes->mf          = PETSC_TRUE;
1136:   }
1137:   flg = PETSC_FALSE;
1138:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no preconditioner by default", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1139:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1140:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1142:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1143:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1145:   flg = PETSC_FALSE;
1146:   PetscCall(SNESGetNPCSide(snes, &pcside));
1147:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1148:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1150: #if PetscDefined(HAVE_SAWS)
1151:   /*
1152:     Publish convergence information using SAWs
1153:   */
1154:   flg = PETSC_FALSE;
1155:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1156:   if (flg) {
1157:     PetscCtx ctx;
1158:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1159:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1160:   }
1161: #endif
1162: #if PetscDefined(HAVE_SAWS)
1163:   {
1164:     PetscBool set;
1165:     flg = PETSC_FALSE;
1166:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1167:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1168:   }
1169: #endif

1171:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1173:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1175:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1176:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1177:   PetscOptionsEnd();

1179:   if (snes->linesearch) {
1180:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1181:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1182:   }

1184:   /* if user has set the SNES NPC type via options database, create it. */
1185:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1186:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1187:   if (pcset && !snes->npc) PetscCall(SNESGetNPC(snes, &snes->npc));

1189:   if (snes->usesksp) {
1190:     PC     pc;
1191:     PCType pctype;

1193:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1194:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1195:     PetscCall(KSPGetPC(snes->ksp, &pc));
1196:     PetscCall(PCGetType(pc, &pctype));
1197:     /* If the first two conditions in the following conditional are true, we know a matrix-free Mat
1198:        will be used eventually with the PC, but we cannot provide the matrix-free Mat to the PC here
1199:        since we do not have enough information to construct it here (it is constructed after the
1200:        start of SNESSetUp()). If we do not set the PCNONE here, then the PCSetFromOptions() called
1201:        from KSPSetFromOptions() below will use PCGetDefaultType_Private() to set a PCType
1202:        appropriate for the current pc->pmat that will likely not work for the matrix-free Mat, thus
1203:        producing a later confusing error message. A significant refactoring of how SNES handles
1204:        matrix-free Mat would be needed to eliminate the next line of code. Note that if the PC type
1205:        has already been set (third condition), we do not override it. The fourth condition exempts
1206:        left-side nonlinear preconditioners, which require a real PC */
1207:     if (snes->mf && !snes->mf_operator && !pctype && !(snes->npcside == PC_LEFT && snes->npc)) {
1208:       PetscCall(PetscInfo(snes, "Setting PCNONE since no PC type was set and the Jacobian will be matrix-free\n"));
1209:       PetscCall(PCSetType(pc, PCNONE));
1210:     }
1211:     PetscCall(KSPSetFromOptions(snes->ksp));
1212:   }

1214:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1215:   snes->setfromoptionscalled++;
1216:   PetscFunctionReturn(PETSC_SUCCESS);
1217: }

1219: /*@
1220:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1222:   Collective

1224:   Input Parameter:
1225: . snes - the `SNES` context

1227:   Level: advanced

1229: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1230: @*/
1231: PetscErrorCode SNESResetFromOptions(SNES snes)
1232: {
1233:   PetscFunctionBegin;
1234:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1235:   PetscFunctionReturn(PETSC_SUCCESS);
1236: }

1238: /*@
1239:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1240:   the nonlinear solvers.

1242:   Logically Collective; No Fortran Support

1244:   Input Parameters:
1245: + snes    - the `SNES` context
1246: . compute - function to compute the context
1247: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1249:   Calling sequence of `compute`:
1250: + snes - the `SNES` context
1251: - ctx  - context to be computed

1253:   Level: intermediate

1255:   Note:
1256:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1258:   Use `SNESSetApplicationContext()` to see the context immediately

1260: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1261: @*/
1262: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1263: {
1264:   PetscFunctionBegin;
1266:   snes->ops->ctxcompute = compute;
1267:   snes->ops->ctxdestroy = destroy;
1268:   PetscFunctionReturn(PETSC_SUCCESS);
1269: }

1271: /*@
1272:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1274:   Logically Collective

1276:   Input Parameters:
1277: + snes - the `SNES` context
1278: - ctx  - the application context

1280:   Level: intermediate

1282:   Notes:
1283:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1284:   with `SNESGetApplicationContext()`

1286:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1288:   Fortran Note:
1289:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1290:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1291:   an example.

1293: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1294: @*/
1295: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1296: {
1297:   KSP ksp;

1299:   PetscFunctionBegin;
1301:   PetscCall(SNESGetKSP(snes, &ksp));
1302:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1303:   snes->ctx = ctx;
1304:   PetscFunctionReturn(PETSC_SUCCESS);
1305: }

1307: /*@
1308:   SNESGetApplicationContext - Gets the user-defined context for the
1309:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1311:   Not Collective

1313:   Input Parameter:
1314: . snes - `SNES` context

1316:   Output Parameter:
1317: . ctx - the application context

1319:   Level: intermediate

1321:   Fortran Notes:
1322:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1323: .vb
1324:   type(tUsertype), pointer :: ctx
1325: .ve

1327: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1328: @*/
1329: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1330: {
1331:   PetscFunctionBegin;
1333:   *(void **)ctx = snes->ctx;
1334:   PetscFunctionReturn(PETSC_SUCCESS);
1335: }

1337: /*@
1338:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1340:   Logically Collective

1342:   Input Parameters:
1343: + snes        - `SNES` context
1344: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1345: - 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
1346:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1348:   Options Database Keys:
1349: + -snes_mf_operator - use matrix-free only for the mat operator
1350: . -snes_mf          - use matrix-free for both the mat and pmat operator
1351: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1352: - -snes_fd          - compute the Jacobian via finite differences (slow)

1354:   Level: intermediate

1356:   Notes:
1357:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1358:   and computing explicitly with
1359:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1361:   When `mf` is used, `SNESSetFromOptions()` sets the `KSP`'s `PC` to `PCNONE` unless a `PC` type has already been selected.

1363: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1364: @*/
1365: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1366: {
1367:   PetscFunctionBegin;
1371:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1372:   snes->mf_operator = mf_operator;
1373:   PetscFunctionReturn(PETSC_SUCCESS);
1374: }

1376: /*@
1377:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1379:   Not Collective, but the resulting flags will be the same on all MPI processes

1381:   Input Parameter:
1382: . snes - `SNES` context

1384:   Output Parameters:
1385: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1386: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1388:   Level: intermediate

1390: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1391: @*/
1392: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1393: {
1394:   PetscFunctionBegin;
1396:   if (mf) *mf = snes->mf;
1397:   if (mf_operator) *mf_operator = snes->mf_operator;
1398:   PetscFunctionReturn(PETSC_SUCCESS);
1399: }

1401: /*@
1402:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1404:   Not Collective

1406:   Input Parameter:
1407: . snes - `SNES` context

1409:   Output Parameter:
1410: . iter - iteration number

1412:   Level: intermediate

1414:   Notes:
1415:   For example, during the computation of iteration 2 this would return 1.

1417:   This is useful for using lagged Jacobians (where one does not recompute the
1418:   Jacobian at each `SNES` iteration). For example, the code
1419: .vb
1420:       ierr = SNESGetIterationNumber(snes,&it);
1421:       if (!(it % 2)) {
1422:         [compute Jacobian here]
1423:       }
1424: .ve
1425:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1426:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1428:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1430: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1431: @*/
1432: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1433: {
1434:   PetscFunctionBegin;
1436:   PetscAssertPointer(iter, 2);
1437:   *iter = snes->iter;
1438:   PetscFunctionReturn(PETSC_SUCCESS);
1439: }

1441: /*@
1442:   SNESSetIterationNumber - Sets the current iteration number.

1444:   Not Collective

1446:   Input Parameters:
1447: + snes - `SNES` context
1448: - iter - iteration number

1450:   Level: developer

1452:   Note:
1453:   This should only be called inside a `SNES` nonlinear solver.

1455: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1456: @*/
1457: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1458: {
1459:   PetscFunctionBegin;
1461:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1462:   snes->iter = iter;
1463:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1464:   PetscFunctionReturn(PETSC_SUCCESS);
1465: }

1467: /*@
1468:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1469:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1471:   Not Collective

1473:   Input Parameter:
1474: . snes - `SNES` context

1476:   Output Parameter:
1477: . nfails - number of unsuccessful steps attempted

1479:   Level: intermediate

1481:   Notes:
1482:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1483:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1485:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1486:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1488:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1490:   This counter is reset to zero for each successive call to `SNESSolve()`.

1492: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1493:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1494: @*/
1495: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1496: {
1497:   PetscFunctionBegin;
1499:   PetscAssertPointer(nfails, 2);
1500:   *nfails = snes->numFailures;
1501:   PetscFunctionReturn(PETSC_SUCCESS);
1502: }

1504: /*@
1505:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1506:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1508:   Not Collective

1510:   Input Parameters:
1511: + snes     - `SNES` context
1512: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1514:   Options Database Key:
1515: . -snes_max_fail n - maximum number of unsuccessful steps allowed

1517:   Level: intermediate

1519:   Note:
1520:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1521:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1523:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1524:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1526:   Developer Note:
1527:   The options database key is wrong for this function name

1529: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1530:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1531: @*/
1532: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1533: {
1534:   PetscFunctionBegin;

1537:   if (maxFails == PETSC_UNLIMITED) {
1538:     snes->maxFailures = PETSC_INT_MAX;
1539:   } else {
1540:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1541:     snes->maxFailures = maxFails;
1542:   }
1543:   PetscFunctionReturn(PETSC_SUCCESS);
1544: }

1546: /*@
1547:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1548:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1550:   Not Collective

1552:   Input Parameter:
1553: . snes - `SNES` context

1555:   Output Parameter:
1556: . maxFails - maximum of unsuccessful steps

1558:   Level: intermediate

1560: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1561:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1562: @*/
1563: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1564: {
1565:   PetscFunctionBegin;
1567:   PetscAssertPointer(maxFails, 2);
1568:   *maxFails = snes->maxFailures;
1569:   PetscFunctionReturn(PETSC_SUCCESS);
1570: }

1572: /*@
1573:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1574:   done by the `SNES` object in the current or most recent `SNESSolve()`

1576:   Not Collective

1578:   Input Parameter:
1579: . snes - `SNES` context

1581:   Output Parameter:
1582: . nfuncs - number of evaluations

1584:   Level: intermediate

1586:   Note:
1587:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1589: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1590: @*/
1591: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1592: {
1593:   PetscFunctionBegin;
1595:   PetscAssertPointer(nfuncs, 2);
1596:   *nfuncs = snes->nfuncs;
1597:   PetscFunctionReturn(PETSC_SUCCESS);
1598: }

1600: /*@
1601:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1602:   linear solvers in the current or most recent `SNESSolve()`

1604:   Not Collective

1606:   Input Parameter:
1607: . snes - `SNES` context

1609:   Output Parameter:
1610: . nfails - number of failed solves

1612:   Options Database Key:
1613: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1615:   Level: intermediate

1617:   Note:
1618:   This counter is reset to zero for each successive call to `SNESSolve()`.

1620: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1621: @*/
1622: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1623: {
1624:   PetscFunctionBegin;
1626:   PetscAssertPointer(nfails, 2);
1627:   *nfails = snes->numLinearSolveFailures;
1628:   PetscFunctionReturn(PETSC_SUCCESS);
1629: }

1631: /*@
1632:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1633:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1635:   Logically Collective

1637:   Input Parameters:
1638: + snes     - `SNES` context
1639: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1641:   Options Database Key:
1642: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1644:   Level: intermediate

1646:   Note:
1647:   By default this is 0; that is `SNES` returns on the first failed linear solve

1649:   Developer Note:
1650:   The options database key is wrong for this function name

1652: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1653: @*/
1654: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1655: {
1656:   PetscFunctionBegin;

1660:   if (maxFails == PETSC_UNLIMITED) {
1661:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1662:   } else {
1663:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1664:     snes->maxLinearSolveFailures = maxFails;
1665:   }
1666:   PetscFunctionReturn(PETSC_SUCCESS);
1667: }

1669: /*@
1670:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1671:   are allowed before `SNES` returns as unsuccessful

1673:   Not Collective

1675:   Input Parameter:
1676: . snes - `SNES` context

1678:   Output Parameter:
1679: . maxFails - maximum of unsuccessful solves allowed

1681:   Level: intermediate

1683:   Note:
1684:   By default this is 1; that is `SNES` returns on the first failed linear solve

1686: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1687: @*/
1688: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1689: {
1690:   PetscFunctionBegin;
1692:   PetscAssertPointer(maxFails, 2);
1693:   *maxFails = snes->maxLinearSolveFailures;
1694:   PetscFunctionReturn(PETSC_SUCCESS);
1695: }

1697: /*@
1698:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1699:   used by the nonlinear solver in the most recent `SNESSolve()`

1701:   Not Collective

1703:   Input Parameter:
1704: . snes - `SNES` context

1706:   Output Parameter:
1707: . lits - number of linear iterations

1709:   Level: intermediate

1711:   Notes:
1712:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1714:   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
1715:   then call `KSPGetIterationNumber()` after the failed solve.

1717: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1718: @*/
1719: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1720: {
1721:   PetscFunctionBegin;
1723:   PetscAssertPointer(lits, 2);
1724:   *lits = snes->linear_its;
1725:   PetscFunctionReturn(PETSC_SUCCESS);
1726: }

1728: /*@
1729:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1730:   are reset every time `SNESSolve()` is called.

1732:   Logically Collective

1734:   Input Parameters:
1735: + snes  - `SNES` context
1736: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1738:   Level: developer

1740: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1741: @*/
1742: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1743: {
1744:   PetscFunctionBegin;
1747:   snes->counters_reset = reset;
1748:   PetscFunctionReturn(PETSC_SUCCESS);
1749: }

1751: /*@
1752:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1754:   Logically Collective

1756:   Input Parameters:
1757: . snes - `SNES` context

1759:   Level: developer

1761:   Note:
1762:   It honors the flag set with `SNESSetCountersReset()`

1764: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1765: @*/
1766: PetscErrorCode SNESResetCounters(SNES snes)
1767: {
1768:   PetscFunctionBegin;
1770:   if (snes->counters_reset) {
1771:     snes->nfuncs      = 0;
1772:     snes->linear_its  = 0;
1773:     snes->numFailures = 0;
1774:   }
1775:   PetscFunctionReturn(PETSC_SUCCESS);
1776: }

1778: /*@
1779:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1781:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1783:   Input Parameters:
1784: + snes - the `SNES` context
1785: - ksp  - the `KSP` context

1787:   Level: developer

1789:   Notes:
1790:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1791:   so this routine is rarely needed.

1793:   The `KSP` object that is already in the `SNES` object has its reference count
1794:   decreased by one when this is called.

1796: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1797: @*/
1798: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1799: {
1800:   PetscFunctionBegin;
1803:   PetscCheckSameComm(snes, 1, ksp, 2);
1804:   PetscCall(PetscObjectReference((PetscObject)ksp));
1805:   PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1806:   snes->ksp = ksp;
1807:   PetscFunctionReturn(PETSC_SUCCESS);
1808: }

1810: /*@
1811:   SNESParametersInitialize - Sets the base defaults for parameters in `snes`, updating a parameter's current value when it matches its previously recorded default.

1813:   Logically collective

1815:   Input Parameter:
1816: . snes - the `SNES` object

1818:   Level: developer

1820:   Notes:

1822:   The base defaults are the non-type-specific values established when the `SNES` is created. A `SNESType` constructor may subsequently replace them with type-specific defaults.

1824:   Developer Notes:

1826:   `SNESCreate()` calls this routine to establish the base defaults. `SNESSetType()` calls it before constructing a new `SNESType`, so the recorded defaults associated with the previous type are replaced before the new type installs its own defaults.

1828:   Default tracking is based on value equality, not on whether a setter was called. Consequently, an explicitly assigned value that equals the recorded default may be updated when the type changes.

1830: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1831:           `PetscObjectParameterSetDefault()`
1832: @*/
1833: PetscErrorCode SNESParametersInitialize(SNES snes)
1834: {
1835:   PetscObjectParameterSetDefault(snes, max_its, 50);
1836:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1837:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1838:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1839:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1840:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1841:   return PETSC_SUCCESS;
1842: }

1844: /*@
1845:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1847:   Collective

1849:   Input Parameter:
1850: . comm - MPI communicator

1852:   Output Parameter:
1853: . outsnes - the new `SNES` context

1855:   Options Database Keys:
1856: + -snes_mf          - Activates default matrix-free Jacobian-vector products, with no preconditioner by default
1857: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1858: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1859: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1861:   Level: beginner

1863:   Developer Notes:
1864:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1865:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1866:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1867:   in `SNESView()`.

1869:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1870:   by help messages about meaningless `SNES` options.

1872:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1874: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1875: @*/
1876: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1877: {
1878:   SNES       snes;
1879:   SNESKSPEW *kctx;

1881:   PetscFunctionBegin;
1882:   PetscAssertPointer(outsnes, 2);
1883:   PetscCall(SNESInitializePackage());

1885:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1886:   snes->ops->converged = SNESConvergedDefault;
1887:   snes->usesksp        = PETSC_TRUE;
1888:   snes->norm           = 0.0;
1889:   snes->xnorm          = 0.0;
1890:   snes->ynorm          = 0.0;
1891:   snes->normschedule   = SNES_NORM_ALWAYS;
1892:   snes->functype       = SNES_FUNCTION_DEFAULT;
1893:   snes->ttol           = 0.0;

1895:   snes->rnorm0               = 0;
1896:   snes->nfuncs               = 0;
1897:   snes->numFailures          = 0;
1898:   snes->maxFailures          = 1;
1899:   snes->linear_its           = 0;
1900:   snes->lagjacobian          = 1;
1901:   snes->jac_iter             = 0;
1902:   snes->lagjac_persist       = PETSC_FALSE;
1903:   snes->lagpreconditioner    = 1;
1904:   snes->pre_iter             = 0;
1905:   snes->lagpre_persist       = PETSC_FALSE;
1906:   snes->numbermonitors       = 0;
1907:   snes->numberreasonviews    = 0;
1908:   snes->data                 = NULL;
1909:   snes->setupcalled          = PETSC_FALSE;
1910:   snes->ksp_ewconv           = PETSC_FALSE;
1911:   snes->nwork                = 0;
1912:   snes->work                 = NULL;
1913:   snes->nvwork               = 0;
1914:   snes->vwork                = NULL;
1915:   snes->conv_hist_len        = 0;
1916:   snes->conv_hist_max        = 0;
1917:   snes->conv_hist            = NULL;
1918:   snes->conv_hist_its        = NULL;
1919:   snes->conv_hist_reset      = PETSC_TRUE;
1920:   snes->counters_reset       = PETSC_TRUE;
1921:   snes->vec_func_init_set    = PETSC_FALSE;
1922:   snes->reason               = SNES_CONVERGED_ITERATING;
1923:   snes->npcside              = PC_RIGHT;
1924:   snes->setfromoptionscalled = 0;

1926:   snes->mf          = PETSC_FALSE;
1927:   snes->mf_operator = PETSC_FALSE;
1928:   snes->mf_version  = 1;

1930:   snes->numLinearSolveFailures = 0;
1931:   snes->maxLinearSolveFailures = 1;

1933:   snes->vizerotolerance     = 1.e-8;
1934:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1936:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1937:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1939:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1940:   PetscCall(PetscNew(&kctx));

1942:   snes->kspconvctx  = kctx;
1943:   kctx->version     = 2;
1944:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1945:                              this was too large for some test cases */
1946:   kctx->rtol_last   = 0.0;
1947:   kctx->rtol_max    = 0.9;
1948:   kctx->gamma       = 1.0;
1949:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1950:   kctx->alpha2      = kctx->alpha;
1951:   kctx->threshold   = 0.1;
1952:   kctx->lresid_last = 0.0;
1953:   kctx->norm_last   = 0.0;

1955:   kctx->rk_last     = 0.0;
1956:   kctx->rk_last_2   = 0.0;
1957:   kctx->rtol_last_2 = 0.0;
1958:   kctx->v4_p1       = 0.1;
1959:   kctx->v4_p2       = 0.4;
1960:   kctx->v4_p3       = 0.7;
1961:   kctx->v4_m1       = 0.8;
1962:   kctx->v4_m2       = 0.5;
1963:   kctx->v4_m3       = 0.1;
1964:   kctx->v4_m4       = 0.5;

1966:   PetscCall(SNESParametersInitialize(snes));
1967:   *outsnes = snes;
1968:   PetscFunctionReturn(PETSC_SUCCESS);
1969: }

1971: /*@
1972:   SNESSetFunction - Sets the function evaluation routine and function
1973:   vector for use by the `SNES` routines in solving systems of nonlinear
1974:   equations.

1976:   Logically Collective

1978:   Input Parameters:
1979: + snes - the `SNES` context
1980: . r    - vector to store function values, may be `NULL`
1981: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1982: - ctx  - [optional] user-defined context for private data for the
1983:          function evaluation routine (may be `NULL`)

1985:   Level: beginner

1987: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1988: @*/
1989: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1990: {
1991:   DM dm;

1993:   PetscFunctionBegin;
1995:   if (r) {
1997:     PetscCheckSameComm(snes, 1, r, 2);
1998:     PetscCall(PetscObjectReference((PetscObject)r));
1999:     PetscCall(VecDestroy(&snes->vec_func));
2000:     snes->vec_func = r;
2001:   }
2002:   /* update DMSNES
2003:      We support incremental information; so update the function context only if r is not specified
2004:      (which allows to disable the callbacks when both f and ctx are NULL),
2005:      or, if r is specified, when at least one of f and ctx is not NULL */
2006:   PetscCall(SNESGetDM(snes, &dm));
2007:   if (!r || f || ctx) PetscCall(DMSNESSetFunction(dm, f, ctx));
2008:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2009:   PetscFunctionReturn(PETSC_SUCCESS);
2010: }

2012: /*@
2013:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

2015:   Logically Collective

2017:   Input Parameters:
2018: + snes - the `SNES` context
2019: - f    - vector to store function value

2021:   Level: developer

2023:   Notes:
2024:   This should not be modified during the solution procedure.

2026:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

2028: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
2029: @*/
2030: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
2031: {
2032:   Vec vec_func;

2034:   PetscFunctionBegin;
2037:   PetscCheckSameComm(snes, 1, f, 2);
2038:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
2039:     snes->vec_func_init_set = PETSC_FALSE;
2040:     PetscFunctionReturn(PETSC_SUCCESS);
2041:   }
2042:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
2043:   PetscCall(VecCopy(f, vec_func));

2045:   snes->vec_func_init_set = PETSC_TRUE;
2046:   PetscFunctionReturn(PETSC_SUCCESS);
2047: }

2049: /*@
2050:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2051:   of the `SNES` method, when norms are computed in the solving process

2053:   Logically Collective

2055:   Input Parameters:
2056: + snes         - the `SNES` context
2057: - normschedule - the frequency of norm computation

2059:   Options Database Key:
2060: . -snes_norm_schedule (none|always|initialonly|finalonly|initialfinalonly) - set the schedule

2062:   Level: advanced

2064:   Notes:
2065:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2066:   of the nonlinear function and the taking of its norm at every iteration to
2067:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2068:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2069:   may either be monitored for convergence or not.  As these are often used as nonlinear
2070:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2071:   their solution.

2073: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2074: @*/
2075: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2076: {
2077:   PetscFunctionBegin;
2080:   snes->normschedule = normschedule;
2081:   PetscFunctionReturn(PETSC_SUCCESS);
2082: }

2084: /*@
2085:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2086:   of the `SNES` method.

2088:   Logically Collective

2090:   Input Parameters:
2091: + snes         - the `SNES` context
2092: - normschedule - the type of the norm used

2094:   Level: advanced

2096: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2097: @*/
2098: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2099: {
2100:   PetscFunctionBegin;
2102:   *normschedule = snes->normschedule;
2103:   PetscFunctionReturn(PETSC_SUCCESS);
2104: }

2106: /*@
2107:   SNESSetFunctionNorm - Sets the last computed residual norm.

2109:   Logically Collective

2111:   Input Parameters:
2112: + snes - the `SNES` context
2113: - norm - the value of the norm

2115:   Level: developer

2117: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2118: @*/
2119: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2120: {
2121:   PetscFunctionBegin;
2123:   snes->norm = norm;
2124:   PetscFunctionReturn(PETSC_SUCCESS);
2125: }

2127: /*@
2128:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2130:   Not Collective

2132:   Input Parameter:
2133: . snes - the `SNES` context

2135:   Output Parameter:
2136: . norm - the last computed residual norm

2138:   Level: developer

2140: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2141: @*/
2142: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2143: {
2144:   PetscFunctionBegin;
2146:   PetscAssertPointer(norm, 2);
2147:   *norm = snes->norm;
2148:   PetscFunctionReturn(PETSC_SUCCESS);
2149: }

2151: /*@
2152:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2154:   Not Collective

2156:   Input Parameter:
2157: . snes - the `SNES` context

2159:   Output Parameter:
2160: . ynorm - the last computed update norm

2162:   Level: developer

2164:   Note:
2165:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2167: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2168: @*/
2169: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2170: {
2171:   PetscFunctionBegin;
2173:   PetscAssertPointer(ynorm, 2);
2174:   *ynorm = snes->ynorm;
2175:   PetscFunctionReturn(PETSC_SUCCESS);
2176: }

2178: /*@
2179:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2181:   Not Collective

2183:   Input Parameter:
2184: . snes - the `SNES` context

2186:   Output Parameter:
2187: . xnorm - the last computed solution norm

2189:   Level: developer

2191: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2192: @*/
2193: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2194: {
2195:   PetscFunctionBegin;
2197:   PetscAssertPointer(xnorm, 2);
2198:   *xnorm = snes->xnorm;
2199:   PetscFunctionReturn(PETSC_SUCCESS);
2200: }

2202: /*@
2203:   SNESSetFunctionType - Sets the `SNESFunctionType`
2204:   of the `SNES` method.

2206:   Logically Collective

2208:   Input Parameters:
2209: + snes - the `SNES` context
2210: - type - the function type

2212:   Level: developer

2214:   Values of the function type\:
2215: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2216: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2217: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2219:   Note:
2220:   Different `SNESType`s use this value in different ways

2222: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2223: @*/
2224: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2225: {
2226:   PetscFunctionBegin;
2228:   snes->functype = type;
2229:   PetscFunctionReturn(PETSC_SUCCESS);
2230: }

2232: /*@
2233:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2234:   of the SNES method.

2236:   Logically Collective

2238:   Input Parameters:
2239: + snes - the `SNES` context
2240: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2242:   Level: advanced

2244: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2245: @*/
2246: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2247: {
2248:   PetscFunctionBegin;
2250:   *type = snes->functype;
2251:   PetscFunctionReturn(PETSC_SUCCESS);
2252: }

2254: /*@
2255:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2256:   use with composed nonlinear solvers.

2258:   Input Parameters:
2259: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2260: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2261: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2263:   Level: intermediate

2265:   Note:
2266:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2267:   a problem appropriate update to the solution, particularly `SNESFAS`.

2269: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2270: @*/
2271: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2272: {
2273:   DM dm;

2275:   PetscFunctionBegin;
2277:   PetscCall(SNESGetDM(snes, &dm));
2278:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2279:   PetscFunctionReturn(PETSC_SUCCESS);
2280: }

2282: /*@
2283:   SNESPicardComputeMFFunction - Matrix-free residual $A(x) x - b(x)$ used by `SNESSetPicard()` when the operator is applied through `-snes_mf_operator`

2285:   Collective

2287:   Input Parameters:
2288: + snes - the `SNES` context
2289: . x    - the current iterate
2290: - ctx  - unused application context; the Picard callbacks are retrieved from the attached `DMSNES`

2292:   Output Parameter:
2293: . f - the residual vector

2295:   Level: developer

2297:   Note:
2298:   Uses a duplicate of `snes->jacobian_pre` because `snes->jacobian_pre` cannot be changed during the `KSPSolve()`.

2300: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeJacobian()`
2301: @*/
2302: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2303: {
2304:   DM     dm;
2305:   DMSNES sdm;

2307:   PetscFunctionBegin;
2308:   PetscCall(SNESGetDM(snes, &dm));
2309:   PetscCall(DMGetDMSNES(dm, &sdm));
2310:   /*  A(x)*x - b(x) */
2311:   if (sdm->ops->computepfunction) {
2312:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2313:     PetscCall(VecScale(f, -1.0));
2314:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2315:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2316:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2317:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2318:   } else {
2319:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2320:     PetscCall(MatMult(snes->picard, x, f));
2321:   }
2322:   PetscFunctionReturn(PETSC_SUCCESS);
2323: }

2325: /*@
2326:   SNESPicardComputeFunction - Compute the residual $A(x) x - b(x)$ using the callbacks registered by `SNESSetPicard()`

2328:   Collective

2330:   Input Parameters:
2331: + snes - the `SNES` context
2332: . x    - the current iterate
2333: - ctx  - unused application context; the Picard callbacks are retrieved from the attached `DMSNES`

2335:   Output Parameter:
2336: . f - the residual vector

2338:   Level: developer

2340: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeMFFunction()`, `SNESPicardComputeJacobian()`
2341: @*/
2342: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2343: {
2344:   DM     dm;
2345:   DMSNES sdm;

2347:   PetscFunctionBegin;
2348:   PetscCall(SNESGetDM(snes, &dm));
2349:   PetscCall(DMGetDMSNES(dm, &sdm));
2350:   /*  A(x)*x - b(x) */
2351:   if (sdm->ops->computepfunction) {
2352:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2353:     PetscCall(VecScale(f, -1.0));
2354:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2355:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2356:   } else {
2357:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2358:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2359:   }
2360:   PetscFunctionReturn(PETSC_SUCCESS);
2361: }

2363: /*@
2364:   SNESPicardComputeJacobian - Trivial Jacobian assembly callback used by `SNESSetPicard()`; the Picard operator is filled in by `SNESPicardComputeFunction()`

2366:   Collective

2368:   Input Parameters:
2369: + snes - the `SNES` context
2370: . x1   - the current iterate (unused)
2371: . J    - the Jacobian matrix to assemble
2372: . B    - the preconditioning matrix (unused)
2373: - ctx  - unused application context

2375:   Level: developer

2377:   Note:
2378:   Only calls `MatAssemblyBegin()`/`MatAssemblyEnd()` on `J`, because the Picard iteration reuses the operator already assembled by `SNESPicardComputeFunction()`.

2380: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeMFFunction()`
2381: @*/
2382: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2383: {
2384:   PetscFunctionBegin;
2385:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2386:   /* must assembly if matrix-free to get the last SNES solution */
2387:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2388:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2389:   PetscFunctionReturn(PETSC_SUCCESS);
2390: }

2392: /*@
2393:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b$ via a Picard type iteration (Picard linearization)

2395:   Logically Collective

2397:   Input Parameters:
2398: + snes - the `SNES` context
2399: . r    - vector to store function values, may be `NULL`
2400: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2401: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2402: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2403: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2404: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2406:   Level: intermediate

2408:   Notes:
2409:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2410:   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.

2412:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2414:   Solves the equation $A(x) x = bp(x) + b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2415:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2417:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2419:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2420:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2422:   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
2423:   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
2424:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2426:   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
2427:   $A(x^{n})$ is used to build the preconditioner

2429:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2431:   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
2432:   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
2433:   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`.
2434:   See the comment in src/snes/tutorials/ex15.c.

2436: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2437:           `SNESFunctionFn`, `SNESJacobianFn`
2438: @*/
2439: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2440: {
2441:   DM dm;

2443:   PetscFunctionBegin;
2445:   PetscCall(SNESGetDM(snes, &dm));
2446:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2447:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2448:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2449:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2450:   PetscFunctionReturn(PETSC_SUCCESS);
2451: }

2453: /*@
2454:   SNESGetPicard - Returns the context for the Picard iteration

2456:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2458:   Input Parameter:
2459: . snes - the `SNES` context

2461:   Output Parameters:
2462: + r    - the function (or `NULL`)
2463: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2464: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2465: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2466: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2467: - ctx  - the function context (or `NULL`)

2469:   Level: advanced

2471: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2472: @*/
2473: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2474: {
2475:   DM dm;

2477:   PetscFunctionBegin;
2479:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2480:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2481:   PetscCall(SNESGetDM(snes, &dm));
2482:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2483:   PetscFunctionReturn(PETSC_SUCCESS);
2484: }

2486: /*@
2487:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2489:   Logically Collective

2491:   Input Parameters:
2492: + snes - the `SNES` context
2493: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2494: - ctx  - [optional] user-defined context for private data for the
2495:          function evaluation routine (may be `NULL`)

2497:   Level: intermediate

2499: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2500: @*/
2501: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2502: {
2503:   PetscFunctionBegin;
2505:   if (func) snes->ops->computeinitialguess = func;
2506:   if (ctx) snes->initialguessP = ctx;
2507:   PetscFunctionReturn(PETSC_SUCCESS);
2508: }

2510: /*@
2511:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2512:   it assumes a zero right-hand side.

2514:   Logically Collective

2516:   Input Parameter:
2517: . snes - the `SNES` context

2519:   Output Parameter:
2520: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2522:   Level: intermediate

2524: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2525: @*/
2526: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2527: {
2528:   PetscFunctionBegin;
2530:   PetscAssertPointer(rhs, 2);
2531:   *rhs = snes->vec_rhs;
2532:   PetscFunctionReturn(PETSC_SUCCESS);
2533: }

2535: /*@
2536:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2538:   Collective

2540:   Input Parameters:
2541: + snes - the `SNES` context
2542: - x    - input vector

2544:   Output Parameter:
2545: . f - function vector, as set by `SNESSetFunction()`

2547:   Level: developer

2549:   Notes:
2550:   `SNESComputeFunction()` is typically used within nonlinear solvers
2551:   implementations, so users would not generally call this routine themselves.

2553:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2555:   This function usually appears in the pattern.
2556: .vb
2557:   SNESComputeFunction(snes, x, f);
2558:   VecNorm(f, &fnorm);
2559:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2560: .ve
2561:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2563: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2564: @*/
2565: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2566: {
2567:   DM     dm;
2568:   DMSNES sdm;

2570:   PetscFunctionBegin;
2574:   PetscCheckSameComm(snes, 1, x, 2);
2575:   PetscCheckSameComm(snes, 1, f, 3);
2576:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2578:   PetscCall(SNESGetDM(snes, &dm));
2579:   PetscCall(DMGetDMSNES(dm, &sdm));
2580:   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().");
2581:   if (sdm->ops->computefunction) {
2582:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2583:     PetscCall(VecLockReadPush(x));
2584:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2585:     snes->functiondomainerror = PETSC_FALSE;
2586:     {
2587:       void           *ctx;
2588:       SNESFunctionFn *computefunction;
2589:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2590:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2591:     }
2592:     PetscCall(VecLockReadPop(x));
2593:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2594:   } else /* if (snes->vec_rhs) */ {
2595:     PetscCall(MatMult(snes->jacobian, x, f));
2596:   }
2597:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2598:   snes->nfuncs++;
2599:   /*
2600:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2601:      propagate the value to all processes
2602:   */
2603:   PetscCall(VecFlag(f, snes->functiondomainerror));
2604:   PetscFunctionReturn(PETSC_SUCCESS);
2605: }

2607: /*@
2608:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2610:   Collective

2612:   Input Parameters:
2613: + snes - the `SNES` context
2614: - x    - input vector

2616:   Output Parameter:
2617: . y - output vector

2619:   Level: developer

2621:   Notes:
2622:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2623:   so users would not generally call this routine themselves.

2625:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2626:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2627:   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.

2629: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2630: @*/
2631: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2632: {
2633:   DM     dm;
2634:   DMSNES sdm;

2636:   PetscFunctionBegin;
2640:   PetscCheckSameComm(snes, 1, x, 2);
2641:   PetscCheckSameComm(snes, 1, y, 3);
2642:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2644:   PetscCall(SNESGetDM(snes, &dm));
2645:   PetscCall(DMGetDMSNES(dm, &sdm));
2646:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2647:   PetscCall(VecLockReadPush(x));
2648:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2649:   snes->functiondomainerror = PETSC_FALSE;
2650:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2651:   PetscCall(VecLockReadPop(x));
2652:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2653:   snes->nfuncs++;
2654:   /*
2655:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2656:      propagate the value to all processes
2657:   */
2658:   PetscCall(VecFlag(y, snes->functiondomainerror));
2659:   PetscFunctionReturn(PETSC_SUCCESS);
2660: }

2662: /*@
2663:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2665:   Collective

2667:   Input Parameters:
2668: + snes - the `SNES` context
2669: . x    - input vector
2670: - b    - rhs vector

2672:   Output Parameter:
2673: . x - new solution vector

2675:   Level: developer

2677:   Note:
2678:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2679:   implementations, so most users would not generally call this routine
2680:   themselves.

2682: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2683: @*/
2684: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2685: {
2686:   DM     dm;
2687:   DMSNES sdm;

2689:   PetscFunctionBegin;
2693:   PetscCheckSameComm(snes, 1, x, 3);
2694:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2695:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2696:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2697:   PetscCall(SNESGetDM(snes, &dm));
2698:   PetscCall(DMGetDMSNES(dm, &sdm));
2699:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2700:   if (b) PetscCall(VecLockReadPush(b));
2701:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2702:   if (b) PetscCall(VecLockReadPop(b));
2703:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2704:   PetscFunctionReturn(PETSC_SUCCESS);
2705: }

2707: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2708: {
2709:   Vec          X;
2710:   PetscScalar *g;
2711:   PetscReal    f, f2;
2712:   PetscInt     low, high, N, i;
2713:   PetscBool    flg;
2714:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2716:   PetscFunctionBegin;
2717:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2718:   PetscCall(VecDuplicate(Xin, &X));
2719:   PetscCall(VecCopy(Xin, X));
2720:   PetscCall(VecGetSize(X, &N));
2721:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2722:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2723:   PetscCall(VecGetArray(G, &g));
2724:   for (i = 0; i < N; i++) {
2725:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2726:     PetscCall(VecAssemblyBegin(X));
2727:     PetscCall(VecAssemblyEnd(X));
2728:     PetscCall(SNESComputeObjective(snes, X, &f));
2729:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2730:     PetscCall(VecAssemblyBegin(X));
2731:     PetscCall(VecAssemblyEnd(X));
2732:     PetscCall(SNESComputeObjective(snes, X, &f2));
2733:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2734:     PetscCall(VecAssemblyBegin(X));
2735:     PetscCall(VecAssemblyEnd(X));
2736:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2737:   }
2738:   PetscCall(VecRestoreArray(G, &g));
2739:   PetscCall(VecDestroy(&X));
2740:   PetscFunctionReturn(PETSC_SUCCESS);
2741: }

2743: /*@
2744:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2746:   Collective

2748:   Input Parameter:
2749: . snes - the `SNES` context

2751:   Options Database Keys:
2752: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2753: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2755:   Level: developer

2757: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2758: @*/
2759: PetscErrorCode SNESTestFunction(SNES snes)
2760: {
2761:   Vec               x, g1, g2, g3;
2762:   PetscBool         complete_print = PETSC_FALSE;
2763:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2764:   PetscScalar       dot;
2765:   MPI_Comm          comm;
2766:   PetscViewer       viewer, mviewer;
2767:   PetscViewerFormat format;
2768:   PetscInt          tabs;
2769:   static PetscBool  directionsprinted = PETSC_FALSE;
2770:   SNESObjectiveFn  *objective;

2772:   PetscFunctionBegin;
2773:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2774:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2776:   PetscObjectOptionsBegin((PetscObject)snes);
2777:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2778:   PetscOptionsEnd();

2780:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2781:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2782:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2783:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2784:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2785:   if (!complete_print && !directionsprinted) {
2786:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2787:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2788:   }
2789:   if (!directionsprinted) {
2790:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2791:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2792:     directionsprinted = PETSC_TRUE;
2793:   }
2794:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2796:   PetscCall(SNESGetSolution(snes, &x));
2797:   PetscCall(VecDuplicate(x, &g1));
2798:   PetscCall(VecDuplicate(x, &g2));
2799:   PetscCall(VecDuplicate(x, &g3));
2800:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() correctly */
2801:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2803:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2804:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2805:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2806:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2807:   PetscCall(VecDot(g1, g2, &dot));
2808:   PetscCall(VecCopy(g1, g3));
2809:   PetscCall(VecAXPY(g3, -1.0, g2));
2810:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2811:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2812:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2813:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2814:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2816:   if (complete_print) {
2817:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2818:     PetscCall(VecView(g1, mviewer));
2819:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2820:     PetscCall(VecView(g2, mviewer));
2821:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2822:     PetscCall(VecView(g3, mviewer));
2823:   }
2824:   PetscCall(VecDestroy(&g1));
2825:   PetscCall(VecDestroy(&g2));
2826:   PetscCall(VecDestroy(&g3));

2828:   if (complete_print) {
2829:     PetscCall(PetscViewerPopFormat(mviewer));
2830:     PetscCall(PetscViewerDestroy(&mviewer));
2831:   }
2832:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2833:   PetscFunctionReturn(PETSC_SUCCESS);
2834: }

2836: /*@
2837:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2839:   Collective

2841:   Input Parameter:
2842: . snes - the `SNES` context

2844:   Output Parameters:
2845: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2846: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2848:   Options Database Keys:
2849: + -snes_test_jacobian [threshold]               - compare the user provided Jacobian with one compute via finite differences to check for errors.
2850:                                                   If a threshold is given, display only those entries whose difference is greater than the threshold.
2851: - -snes_test_jacobian_view viewer_specification - display the user provided Jacobian, the finite difference Jacobian and the difference, see `PetscOptionsCreateViewer()` for the
2852:                                                   format of `viewer_specification`

2854:   Level: developer

2856:   Note:
2857:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2859: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2860: @*/
2861: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2862: {
2863:   Mat               A, B, C, D, jacobian;
2864:   Vec               x = snes->vec_sol, f;
2865:   PetscReal         nrm, gnorm;
2866:   PetscReal         threshold = 1.e-5;
2867:   void             *functx;
2868:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2869:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2870:   PetscViewer       viewer, mviewer;
2871:   MPI_Comm          comm;
2872:   PetscInt          tabs;
2873:   static PetscBool  directionsprinted = PETSC_FALSE;
2874:   PetscViewerFormat format;

2876:   PetscFunctionBegin;
2877:   PetscObjectOptionsBegin((PetscObject)snes);
2878:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2879:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2880:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2881:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2882:   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));
2883:   PetscOptionsEnd();

2885:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2886:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2887:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2888:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2889:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2890:   if (!complete_print && !silent && !directionsprinted) {
2891:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2892:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2893:   }
2894:   if (!directionsprinted && !silent) {
2895:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2896:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2897:     directionsprinted = PETSC_TRUE;
2898:   }
2899:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2901:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2902:   if (!flg) jacobian = snes->jacobian;
2903:   else jacobian = snes->jacobian_pre;

2905:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2906:   else PetscCall(PetscObjectReference((PetscObject)x));
2907:   PetscCall(VecDuplicate(x, &f));

2909:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2910:   PetscCall(SNESComputeFunction(snes, x, f));
2911:   PetscCall(VecDestroy(&f));
2912:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2913:   while (jacobian) {
2914:     Mat JT = NULL, Jsave = NULL;

2916:     if (istranspose) {
2917:       PetscCall(MatCreateTranspose(jacobian, &JT));
2918:       Jsave    = jacobian;
2919:       jacobian = JT;
2920:     }
2921:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2922:     if (flg) {
2923:       A = jacobian;
2924:       PetscCall(PetscObjectReference((PetscObject)A));
2925:     } else {
2926:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2927:     }

2929:     PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &B));
2930:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2932:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2933:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2935:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2936:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2937:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2938:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2939:     PetscCall(MatDestroy(&D));
2940:     if (!gnorm) gnorm = 1; /* just in case */
2941:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2942:     if (complete_print) {
2943:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2944:       PetscCall(MatView(A, mviewer));
2945:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2946:       PetscCall(MatView(B, mviewer));
2947:     }

2949:     if (threshold_print || complete_print) {
2950:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2951:       PetscScalar       *cvals;
2952:       const PetscInt    *bcols;
2953:       const PetscScalar *bvals;

2955:       PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &C));
2956:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2958:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2959:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2961:       for (row = Istart; row < Iend; row++) {
2962:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2963:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2964:         for (j = 0, cncols = 0; j < bncols; j++) {
2965:           if (PetscAbsScalar(bvals[j]) > threshold) {
2966:             ccols[cncols] = bcols[j];
2967:             cvals[cncols] = bvals[j];
2968:             cncols += 1;
2969:           }
2970:         }
2971:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2972:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2973:         PetscCall(PetscFree2(ccols, cvals));
2974:       }
2975:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2976:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2977:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2978:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2979:       PetscCall(MatDestroy(&C));
2980:     }
2981:     PetscCall(MatDestroy(&A));
2982:     PetscCall(MatDestroy(&B));
2983:     PetscCall(MatDestroy(&JT));
2984:     if (Jsave) jacobian = Jsave;
2985:     if (jacobian != snes->jacobian_pre) {
2986:       jacobian = snes->jacobian_pre;
2987:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2988:     } else jacobian = NULL;
2989:   }
2990:   PetscCall(VecDestroy(&x));
2991:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2992:   PetscCall(PetscViewerDestroy(&mviewer));
2993:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2995:   if (Jnorm) *Jnorm = gnorm;
2996:   if (diffNorm) *diffNorm = nrm;
2997:   PetscFunctionReturn(PETSC_SUCCESS);
2998: }

3000: /*@
3001:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

3003:   Collective

3005:   Input Parameters:
3006: + snes - the `SNES` context
3007: - X    - input vector

3009:   Output Parameters:
3010: + A - Jacobian matrix
3011: - B - optional matrix for building the preconditioner, usually the same as `A`

3013:   Options Database Keys:
3014: + -snes_lag_preconditioner lag                  - how often to rebuild preconditioner
3015: . -snes_lag_jacobian lag                        - how often to rebuild Jacobian
3016: . -snes_test_jacobian [threshold]               - compare the user provided Jacobian with one compute via finite differences to check for errors.
3017:                                                   If a threshold is given, display only those entries whose difference is greater than the threshold.
3018: . -snes_test_jacobian_view viewer_specification - 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.
3019:                                                   See `PetscOptionsCreateViewer()` for the format of `viewer_specification`
3020: . -snes_compare_explicit                        - compare the computed Jacobian to the finite difference Jacobian and output the differences
3021: . -snes_compare_explicit_draw                   - compare the computed Jacobian to the finite difference Jacobian and draw the result
3022: . -snes_compare_explicit_draw_contour           - compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
3023: . -snes_compare_operator                        - make the comparison options above use the operator instead of the matrix used to construct the preconditioner
3024: . -snes_compare_coloring                        - compute the finite difference Jacobian using coloring and display norms of difference
3025: . -snes_compare_coloring_display                - compute the finite difference Jacobian using coloring and display verbose differences
3026: . -snes_compare_coloring_threshold              - display only those matrix entries that differ by more than a given threshold
3027: . -snes_compare_coloring_threshold_atol         - absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
3028: . -snes_compare_coloring_threshold_rtol         - relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
3029: . -snes_compare_coloring_draw                   - compute the finite difference Jacobian using coloring and draw differences
3030: - -snes_compare_coloring_draw_contour           - compute the finite difference Jacobian using coloring and show contours of matrices and differences

3032:   Level: developer

3034:   Note:
3035:   Most users should not need to explicitly call this routine, as it
3036:   is used internally within the nonlinear solvers.

3038:   Developer Note:
3039:   This has duplicative ways of checking the accuracy of the user provided Jacobian (see the options above). This is for historical reasons.

3041: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
3042:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
3043: @*/
3044: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
3045: {
3046:   PetscBool flag;
3047:   DM        dm;
3048:   DMSNES    sdm;
3049:   KSP       ksp;

3051:   PetscFunctionBegin;
3054:   PetscCheckSameComm(snes, 1, X, 2);
3055:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
3056:   PetscCall(SNESGetDM(snes, &dm));
3057:   PetscCall(DMGetDMSNES(dm, &sdm));

3059:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
3060:   if (snes->lagjacobian == -2) {
3061:     snes->lagjacobian = -1;

3063:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
3064:   } else if (snes->lagjacobian == -1) {
3065:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
3066:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3067:     if (flag) {
3068:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3069:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3070:     }
3071:     PetscFunctionReturn(PETSC_SUCCESS);
3072:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
3073:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
3074:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3075:     if (flag) {
3076:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3077:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3078:     }
3079:     PetscFunctionReturn(PETSC_SUCCESS);
3080:   }
3081:   if (snes->npc && snes->npcside == PC_LEFT) {
3082:     /* SNESASPIN uses SNESNASM as the nonlinear preconditioner. When SNESNASM
3083:        is done solving the sub-systems it calls the user-provided Jacobian function
3084:        (corresponding to the unpreconditioned residual) retrieved through the DM.
3085:        Consequently it would be redundant to call the Jacobian function here. In
3086:        the future we may move the outer Jacobian function call out of SNESNASM
3087:        in which case no special casing will be required here. */
3088:     PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESASPIN, &flag));
3089:     if (flag) {
3090:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3091:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3092:       PetscFunctionReturn(PETSC_SUCCESS);
3093:     }
3094:   }

3096:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
3097:   PetscCall(VecLockReadPush(X));
3098:   {
3099:     void           *ctx;
3100:     SNESJacobianFn *J;
3101:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3102:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3103:   }
3104:   PetscCall(VecLockReadPop(X));
3105:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3107:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3108:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3110:   /* the next line ensures that snes->ksp exists */
3111:   PetscCall(SNESGetKSP(snes, &ksp));
3112:   if (snes->lagpreconditioner == -2) {
3113:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3114:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3115:     snes->lagpreconditioner = -1;
3116:   } else if (snes->lagpreconditioner == -1) {
3117:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3118:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3119:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3120:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3121:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3122:   } else {
3123:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3124:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3125:   }

3127:   /* monkey business to allow testing Jacobians in multilevel solvers.
3128:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3129:   {
3130:     Vec xsave            = snes->vec_sol;
3131:     Mat jacobiansave     = snes->jacobian;
3132:     Mat jacobian_presave = snes->jacobian_pre;

3134:     snes->vec_sol      = X;
3135:     snes->jacobian     = A;
3136:     snes->jacobian_pre = B;
3137:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3138:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3140:     snes->vec_sol      = xsave;
3141:     snes->jacobian     = jacobiansave;
3142:     snes->jacobian_pre = jacobian_presave;
3143:   }

3145:   {
3146:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3147:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3148:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3149:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3150:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3151:     if (flag || flag_draw || flag_contour) {
3152:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3153:       PetscViewer vdraw, vstdout;
3154:       PetscBool   flg;
3155:       if (flag_operator) {
3156:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3157:         Bexp = Bexp_mine;
3158:       } else {
3159:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3160:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3161:         if (flg) Bexp = B;
3162:         else {
3163:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3164:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3165:           Bexp = Bexp_mine;
3166:         }
3167:       }
3168:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3169:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3170:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3171:       if (flag_draw || flag_contour) {
3172:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3173:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3174:       } else vdraw = NULL;
3175:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3176:       if (flag) PetscCall(MatView(Bexp, vstdout));
3177:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3178:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3179:       if (flag) PetscCall(MatView(FDexp, vstdout));
3180:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3181:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3182:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3183:       if (flag) PetscCall(MatView(FDexp, vstdout));
3184:       if (vdraw) { /* Always use contour for the difference */
3185:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3186:         PetscCall(MatView(FDexp, vdraw));
3187:         PetscCall(PetscViewerPopFormat(vdraw));
3188:       }
3189:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3190:       PetscCall(PetscViewerDestroy(&vdraw));
3191:       PetscCall(MatDestroy(&Bexp_mine));
3192:       PetscCall(MatDestroy(&FDexp));
3193:     }
3194:   }
3195:   {
3196:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3197:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3198:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3199:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3200:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3201:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3202:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3203:     if (flag_threshold) {
3204:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3205:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3206:     }
3207:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3208:       Mat             Bfd;
3209:       PetscViewer     vdraw, vstdout;
3210:       MatColoring     coloring;
3211:       ISColoring      iscoloring;
3212:       MatFDColoring   matfdcoloring;
3213:       SNESFunctionFn *func;
3214:       void           *funcctx;
3215:       PetscReal       norm1, norm2, normmax;

3217:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3218:       PetscCall(MatColoringCreate(Bfd, &coloring));
3219:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3220:       PetscCall(MatColoringSetFromOptions(coloring));
3221:       PetscCall(MatColoringApply(coloring, &iscoloring));
3222:       PetscCall(MatColoringDestroy(&coloring));
3223:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3224:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3225:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3226:       PetscCall(ISColoringDestroy(&iscoloring));

3228:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3229:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3230:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3231:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3232:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3233:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3234:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3235:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3237:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3238:       if (flag_draw || flag_contour) {
3239:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3240:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3241:       } else vdraw = NULL;
3242:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3243:       if (flag_display) PetscCall(MatView(B, vstdout));
3244:       if (vdraw) PetscCall(MatView(B, vdraw));
3245:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3246:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3247:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3248:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3249:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3250:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3251:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3252:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3253:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3254:       if (vdraw) { /* Always use contour for the difference */
3255:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3256:         PetscCall(MatView(Bfd, vdraw));
3257:         PetscCall(PetscViewerPopFormat(vdraw));
3258:       }
3259:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3261:       if (flag_threshold) {
3262:         PetscInt bs, rstart, rend, i;
3263:         PetscCall(MatGetBlockSize(B, &bs));
3264:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3265:         for (i = rstart; i < rend; i++) {
3266:           const PetscScalar *ba, *ca;
3267:           const PetscInt    *bj, *cj;
3268:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3269:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3270:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3271:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3272:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3273:           for (j = 0; j < bn; j++) {
3274:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3275:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3276:               maxentrycol = bj[j];
3277:               maxentry    = PetscRealPart(ba[j]);
3278:             }
3279:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3280:               maxdiffcol = bj[j];
3281:               maxdiff    = PetscRealPart(ca[j]);
3282:             }
3283:             if (rdiff > maxrdiff) {
3284:               maxrdiffcol = bj[j];
3285:               maxrdiff    = rdiff;
3286:             }
3287:           }
3288:           if (maxrdiff > 1) {
3289:             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));
3290:             for (j = 0; j < bn; j++) {
3291:               PetscReal rdiff;
3292:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3293:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3294:             }
3295:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3296:           }
3297:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3298:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3299:         }
3300:       }
3301:       PetscCall(PetscViewerDestroy(&vdraw));
3302:       PetscCall(MatDestroy(&Bfd));
3303:     }
3304:   }
3305:   PetscFunctionReturn(PETSC_SUCCESS);
3306: }

3308: /*@
3309:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3310:   location to store the matrix.

3312:   Logically Collective

3314:   Input Parameters:
3315: + snes - the `SNES` context
3316: . Amat - the matrix that defines the (approximate) Jacobian
3317: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3318: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3319: - ctx  - [optional] user-defined context for private data for the
3320:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3322:   Level: beginner

3324:   Notes:
3325:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3326:   each matrix.

3328:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3329:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3331:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3332:   must be a `MatFDColoring`.

3334:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3335:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3337: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3338:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3339: @*/
3340: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3341: {
3342:   DM dm;

3344:   PetscFunctionBegin;
3348:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3349:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3350:   /* update DMSNES
3351:      We support incremental information; so update the function context only if both Amat and Pmat are not specified
3352:      (which allows to disable the callbacks when both J and ctx are NULL),
3353:      or, if any of the mats is specified, when at least one of J and ctx is not NULL */
3354:   PetscCall(SNESGetDM(snes, &dm));
3355:   if ((!Amat && !Pmat) || J || ctx) PetscCall(DMSNESSetJacobian(dm, J, ctx));
3356:   if (Amat) {
3357:     PetscCall(PetscObjectReference((PetscObject)Amat));
3358:     PetscCall(MatDestroy(&snes->jacobian));

3360:     snes->jacobian = Amat;
3361:   }
3362:   if (Pmat) {
3363:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3364:     PetscCall(MatDestroy(&snes->jacobian_pre));

3366:     snes->jacobian_pre = Pmat;
3367:   }
3368:   PetscFunctionReturn(PETSC_SUCCESS);
3369: }

3371: /*@
3372:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3373:   provided context for evaluating the Jacobian.

3375:   Not Collective, but `Mat` object will be parallel if `SNES` is

3377:   Input Parameter:
3378: . snes - the nonlinear solver context

3380:   Output Parameters:
3381: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3382: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3383: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3384: - ctx  - location to stash Jacobian ctx (or `NULL`)

3386:   Level: advanced

3388: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3389: @*/
3390: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3391: {
3392:   DM dm;

3394:   PetscFunctionBegin;
3396:   if (Amat) *Amat = snes->jacobian;
3397:   if (Pmat) *Pmat = snes->jacobian_pre;
3398:   PetscCall(SNESGetDM(snes, &dm));
3399:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3400:   PetscFunctionReturn(PETSC_SUCCESS);
3401: }

3403: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3404: {
3405:   DM     dm;
3406:   DMSNES sdm;

3408:   PetscFunctionBegin;
3409:   PetscCall(SNESGetDM(snes, &dm));
3410:   PetscCall(DMGetDMSNES(dm, &sdm));
3411:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3412:     DM        dm;
3413:     PetscBool isdense, ismf;

3415:     PetscCall(SNESGetDM(snes, &dm));
3416:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3417:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3418:     if (isdense) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3419:     else if (!ismf) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3420:   }
3421:   PetscFunctionReturn(PETSC_SUCCESS);
3422: }

3424: /*@
3425:   SNESSetUp - Sets up the internal data structures for the later use
3426:   of a nonlinear solver `SNESSolve()`.

3428:   Collective

3430:   Input Parameter:
3431: . snes - the `SNES` context

3433:   Level: advanced

3435:   Note:
3436:   For basic use of the `SNES` solvers the user does not need to explicitly call
3437:   `SNESSetUp()`, since these actions will automatically occur during
3438:   the call to `SNESSolve()`.  However, if one wishes to control this
3439:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3440:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3442: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3443: @*/
3444: PetscErrorCode SNESSetUp(SNES snes)
3445: {
3446:   DM             dm;
3447:   DMSNES         sdm;
3448:   SNESLineSearch linesearch, pclinesearch;
3449:   void          *lsprectx, *lspostctx;
3450:   PetscBool      mf_operator, mf;
3451:   Vec            f, fpc;
3452:   void          *funcctx;
3453:   void          *jacctx, *appctx;
3454:   Mat            j, jpre;
3455:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, PetscCtx);
3456:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, PetscCtx);
3457:   SNESFunctionFn *func;
3458:   SNESJacobianFn *jac;

3460:   PetscFunctionBegin;
3462:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3463:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3465:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3467:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3469:   PetscCall(SNESGetDM(snes, &dm));
3470:   PetscCall(DMGetDMSNES(dm, &sdm));
3471:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3473:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3475:   if (snes->usesksp && !snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3477:   if (snes->linesearch) {
3478:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3479:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3480:   }

3482:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3483:   if (snes->npc && snes->npcside == PC_LEFT) {
3484:     snes->mf          = PETSC_TRUE;
3485:     snes->mf_operator = PETSC_FALSE;
3486:   }
3487:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));
3488:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));

3490:   if (snes->npc) {
3491:     SNESNormSchedule npc_norm_schedule;

3493:     /* copy the DM over and the functions if NPC DM is not present */
3494:     if (!snes->npc->dm) {
3495:       PetscCall(SNESGetDM(snes, &dm));
3496:       PetscCall(SNESSetDM(snes->npc, dm));

3498:       PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3499:       PetscCall(VecDuplicate(f, &fpc));
3500:       PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3501:       PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3502:       PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3503:       PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3504:       PetscCall(VecDestroy(&fpc));

3506:       /* copy the function pointers over */
3507:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3509:       /* Propagate app context if not present */
3510:       PetscCall(SNESGetApplicationContext(snes->npc, &appctx));
3511:       if (!appctx && !snes->npc->ops->ctxcompute) {
3512:         if (snes->ops->ctxcompute) {
3513:           PetscCall(SNESSetComputeApplicationContext(snes->npc, snes->ops->ctxcompute, snes->ops->ctxdestroy));
3514:         } else {
3515:           PetscCall(SNESGetApplicationContext(snes, &appctx));
3516:           PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3517:         }
3518:       }
3519:     }

3521:     /* Set default norm schedule for NPC if not yet set */
3522:     PetscCall(SNESGetNormSchedule(snes->npc, &npc_norm_schedule));
3523:     if (npc_norm_schedule == SNES_NORM_DEFAULT) {
3524:       if (snes->npcside == PC_RIGHT) PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3525:       else if (snes->npcside == PC_LEFT) PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3526:     }

3528:     PetscCall(SNESSetFromOptions(snes->npc));

3530:     /* copy the line search context over */
3531:     if (snes->dm == snes->npc->dm && snes->linesearch && snes->npc->linesearch) {
3532:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3533:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3534:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3535:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3536:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3537:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3538:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3539:     }
3540:   }

3542:   snes->jac_iter = 0;
3543:   snes->pre_iter = 0;

3545:   PetscTryTypeMethod(snes, setup);

3547:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3549:   if (snes->npc && snes->npcside == PC_LEFT) {
3550:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3551:       if (snes->linesearch) {
3552:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3553:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3554:       }
3555:     }
3556:   }
3557:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3558:   snes->setupcalled = PETSC_TRUE;
3559:   PetscFunctionReturn(PETSC_SUCCESS);
3560: }

3562: /*@
3563:   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

3565:   Collective

3567:   Input Parameter:
3568: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3570:   Level: intermediate

3572:   Notes:
3573:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3575:   Call this if you wish to reuse a `SNES` but with different size vectors

3577:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3579: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3580: @*/
3581: PetscErrorCode SNESReset(SNES snes)
3582: {
3583:   PetscFunctionBegin;
3585:   if (snes->ops->ctxdestroy && snes->ctx) {
3586:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3587:     snes->ctx = NULL;
3588:   }
3589:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3591:   PetscTryTypeMethod(snes, reset);
3592:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3594:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3596:   PetscCall(VecDestroy(&snes->vec_rhs));
3597:   PetscCall(VecDestroy(&snes->vec_sol));
3598:   PetscCall(VecDestroy(&snes->vec_sol_update));
3599:   PetscCall(VecDestroy(&snes->vec_func));
3600:   PetscCall(MatDestroy(&snes->jacobian));
3601:   PetscCall(MatDestroy(&snes->jacobian_pre));
3602:   PetscCall(MatDestroy(&snes->picard));
3603:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3604:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3606:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3608:   snes->nwork = snes->nvwork = 0;
3609:   snes->setupcalled          = PETSC_FALSE;
3610:   PetscFunctionReturn(PETSC_SUCCESS);
3611: }

3613: /*@
3614:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3615:   removes the default viewer.

3617:   Collective

3619:   Input Parameter:
3620: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3622:   Level: intermediate

3624: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3625: @*/
3626: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3627: {
3628:   PetscFunctionBegin;
3630:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
3631:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3632:   }
3633:   snes->numberreasonviews = 0;
3634:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3635:   PetscFunctionReturn(PETSC_SUCCESS);
3636: }

3638: /*@
3639:   SNESDestroy - Destroys the nonlinear solver context that was created
3640:   with `SNESCreate()`.

3642:   Collective

3644:   Input Parameter:
3645: . snes - the `SNES` context

3647:   Level: beginner

3649: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3650: @*/
3651: PetscErrorCode SNESDestroy(SNES *snes)
3652: {
3653:   DM dm;

3655:   PetscFunctionBegin;
3656:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3658:   if (--((PetscObject)*snes)->refct > 0) {
3659:     *snes = NULL;
3660:     PetscFunctionReturn(PETSC_SUCCESS);
3661:   }

3663:   PetscCall(SNESReset(*snes));
3664:   PetscCall(SNESDestroy(&(*snes)->npc));

3666:   /* if memory was published with SAWs then destroy it */
3667:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3668:   PetscTryTypeMethod(*snes, destroy);

3670:   dm = (*snes)->dm;
3671:   while (dm) {
3672:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3673:     PetscCall(DMGetCoarseDM(dm, &dm));
3674:   }

3676:   PetscCall(DMDestroy(&(*snes)->dm));
3677:   PetscCall(KSPDestroy(&(*snes)->ksp));
3678:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3680:   PetscCall(PetscFree((*snes)->kspconvctx));
3681:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3682:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3683:   PetscCall(SNESMonitorCancel(*snes));
3684:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3685:   PetscCall(PetscHeaderDestroy(snes));
3686:   PetscFunctionReturn(PETSC_SUCCESS);
3687: }

3689: /* ----------- Routines to set solver parameters ---------- */

3691: /*@
3692:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3694:   Logically Collective

3696:   Input Parameters:
3697: + snes - the `SNES` context
3698: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3699:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3701:   Options Database Keys:
3702: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple `SNESSolve()`
3703: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3704: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple `SNESSolve()`
3705: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3707:   Level: intermediate

3709:   Notes:
3710:   The default is 1

3712:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3714:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3716: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3717:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3718: @*/
3719: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3720: {
3721:   PetscFunctionBegin;
3724:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3725:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3726:   snes->lagpreconditioner = lag;
3727:   PetscFunctionReturn(PETSC_SUCCESS);
3728: }

3730: /*@
3731:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3733:   Logically Collective

3735:   Input Parameters:
3736: + snes  - the `SNES` context
3737: - steps - the number of refinements to do, defaults to 0

3739:   Options Database Key:
3740: . -snes_grid_sequence steps - Use grid sequencing to generate initial guess

3742:   Level: intermediate

3744:   Notes:
3745:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3747:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3749: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3750:           `SNESSetDM()`, `SNESSolve()`
3751: @*/
3752: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3753: {
3754:   PetscFunctionBegin;
3757:   snes->gridsequence = steps;
3758:   PetscFunctionReturn(PETSC_SUCCESS);
3759: }

3761: /*@
3762:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3764:   Logically Collective

3766:   Input Parameter:
3767: . snes - the `SNES` context

3769:   Output Parameter:
3770: . steps - the number of refinements to do, defaults to 0

3772:   Level: intermediate

3774: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3775: @*/
3776: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3777: {
3778:   PetscFunctionBegin;
3780:   *steps = snes->gridsequence;
3781:   PetscFunctionReturn(PETSC_SUCCESS);
3782: }

3784: /*@
3785:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3787:   Not Collective

3789:   Input Parameter:
3790: . snes - the `SNES` context

3792:   Output Parameter:
3793: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3794:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3796:   Level: intermediate

3798:   Notes:
3799:   The default is 1

3801:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3803: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3804: @*/
3805: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3806: {
3807:   PetscFunctionBegin;
3809:   *lag = snes->lagpreconditioner;
3810:   PetscFunctionReturn(PETSC_SUCCESS);
3811: }

3813: /*@
3814:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3815:   often the preconditioner is rebuilt.

3817:   Logically Collective

3819:   Input Parameters:
3820: + snes - the `SNES` context
3821: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3822:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3824:   Options Database Keys:
3825: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3826: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3827: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3828: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag.

3830:   Level: intermediate

3832:   Notes:
3833:   The default is 1

3835:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3837:   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
3838:   at the next Newton step but never again (unless it is reset to another value)

3840: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3841: @*/
3842: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3843: {
3844:   PetscFunctionBegin;
3846:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3847:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3849:   snes->lagjacobian = lag;
3850:   PetscFunctionReturn(PETSC_SUCCESS);
3851: }

3853: /*@
3854:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3856:   Not Collective

3858:   Input Parameter:
3859: . snes - the `SNES` context

3861:   Output Parameter:
3862: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3863:          the Jacobian is built etc.

3865:   Level: intermediate

3867:   Notes:
3868:   The default is 1

3870:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3872: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3873: @*/
3874: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3875: {
3876:   PetscFunctionBegin;
3878:   *lag = snes->lagjacobian;
3879:   PetscFunctionReturn(PETSC_SUCCESS);
3880: }

3882: /*@
3883:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3885:   Logically collective

3887:   Input Parameters:
3888: + snes - the `SNES` context
3889: - flg  - jacobian lagging persists if true

3891:   Options Database Keys:
3892: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3893: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3894: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3895: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3897:   Level: advanced

3899:   Notes:
3900:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3902:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3903:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3904:   timesteps may present huge efficiency gains.

3906: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3907: @*/
3908: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3909: {
3910:   PetscFunctionBegin;
3913:   snes->lagjac_persist = flg;
3914:   PetscFunctionReturn(PETSC_SUCCESS);
3915: }

3917: /*@
3918:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3920:   Logically Collective

3922:   Input Parameters:
3923: + snes - the `SNES` context
3924: - flg  - preconditioner lagging persists if true

3926:   Options Database Keys:
3927: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3928: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3929: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3930: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3932:   Level: developer

3934:   Notes:
3935:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3937:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3938:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3939:   several timesteps may present huge efficiency gains.

3941: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3942: @*/
3943: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3944: {
3945:   PetscFunctionBegin;
3948:   snes->lagpre_persist = flg;
3949:   PetscFunctionReturn(PETSC_SUCCESS);
3950: }

3952: /*@
3953:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3955:   Logically Collective

3957:   Input Parameters:
3958: + snes  - the `SNES` context
3959: - force - `PETSC_TRUE` require at least one iteration

3961:   Options Database Key:
3962: . -snes_force_iteration force - Sets forcing an iteration

3964:   Level: intermediate

3966:   Note:
3967:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3969: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3970: @*/
3971: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3972: {
3973:   PetscFunctionBegin;
3975:   snes->forceiteration = force;
3976:   PetscFunctionReturn(PETSC_SUCCESS);
3977: }

3979: /*@
3980:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3982:   Logically Collective

3984:   Input Parameter:
3985: . snes - the `SNES` context

3987:   Output Parameter:
3988: . force - `PETSC_TRUE` requires at least one iteration.

3990:   Level: intermediate

3992: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3993: @*/
3994: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3995: {
3996:   PetscFunctionBegin;
3998:   *force = snes->forceiteration;
3999:   PetscFunctionReturn(PETSC_SUCCESS);
4000: }

4002: /*@
4003:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

4005:   Logically Collective

4007:   Input Parameters:
4008: + snes   - the `SNES` context
4009: . abstol - the absolute convergence tolerance, $F(x^n) \le abstol$
4010: . rtol   - the relative convergence tolerance, $F(x^n) \le reltol \, F(x^0)$
4011: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
4012: . maxit  - the maximum number of iterations allowed in the solver, default 50.
4013: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

4015:   Options Database Keys:
4016: + -snes_atol abstol    - Sets `abstol`
4017: . -snes_rtol rtol      - Sets `rtol`
4018: . -snes_stol stol      - Sets `stol`
4019: . -snes_max_it maxit   - Sets `maxit`
4020: - -snes_max_funcs maxf - Sets `maxf` (use `unlimited` to have no maximum)

4022:   Level: intermediate

4024:   Note:
4025:   All parameters must be non-negative

4027:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
4028:   The default value is the value in the object when its type is set.

4030:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

4032:   Fortran Note:
4033:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

4035: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
4036: @*/
4037: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
4038: {
4039:   PetscFunctionBegin;

4047:   if (abstol == (PetscReal)PETSC_DETERMINE) {
4048:     snes->abstol = snes->default_abstol;
4049:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
4050:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
4051:     snes->abstol = abstol;
4052:   }

4054:   if (rtol == (PetscReal)PETSC_DETERMINE) {
4055:     snes->rtol = snes->default_rtol;
4056:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
4057:     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);
4058:     snes->rtol = rtol;
4059:   }

4061:   if (stol == (PetscReal)PETSC_DETERMINE) {
4062:     snes->stol = snes->default_stol;
4063:   } else if (stol != (PetscReal)PETSC_CURRENT) {
4064:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
4065:     snes->stol = stol;
4066:   }

4068:   if (maxit == PETSC_DETERMINE) {
4069:     snes->max_its = snes->default_max_its;
4070:   } else if (maxit == PETSC_UNLIMITED) {
4071:     snes->max_its = PETSC_INT_MAX;
4072:   } else if (maxit != PETSC_CURRENT) {
4073:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
4074:     snes->max_its = maxit;
4075:   }

4077:   if (maxf == PETSC_DETERMINE) {
4078:     snes->max_funcs = snes->default_max_funcs;
4079:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
4080:     snes->max_funcs = PETSC_UNLIMITED;
4081:   } else if (maxf != PETSC_CURRENT) {
4082:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
4083:     snes->max_funcs = maxf;
4084:   }
4085:   PetscFunctionReturn(PETSC_SUCCESS);
4086: }

4088: /*@
4089:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

4091:   Logically Collective

4093:   Input Parameters:
4094: + snes   - the `SNES` context
4095: - 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
4096:            is stopped due to divergence.

4098:   Options Database Key:
4099: . -snes_divergence_tolerance divtol - Sets `divtol`

4101:   Level: intermediate

4103:   Notes:
4104:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

4106:   Fortran Note:
4107:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

4109: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
4110: @*/
4111: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
4112: {
4113:   PetscFunctionBegin;

4117:   if (divtol == (PetscReal)PETSC_DETERMINE) {
4118:     snes->divtol = snes->default_divtol;
4119:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
4120:     snes->divtol = PETSC_UNLIMITED;
4121:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4122:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4123:     snes->divtol = divtol;
4124:   }
4125:   PetscFunctionReturn(PETSC_SUCCESS);
4126: }

4128: /*@
4129:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4131:   Not Collective

4133:   Input Parameter:
4134: . snes - the `SNES` context

4136:   Output Parameters:
4137: + atol  - the absolute convergence tolerance
4138: . rtol  - the relative convergence tolerance
4139: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4140: . maxit - the maximum number of iterations allowed
4141: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4143:   Level: intermediate

4145:   Notes:
4146:   See `SNESSetTolerances()` for details on the parameters.

4148:   The user can specify `NULL` for any parameter that is not needed.

4150: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4151: @*/
4152: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4153: {
4154:   PetscFunctionBegin;
4156:   if (atol) *atol = snes->abstol;
4157:   if (rtol) *rtol = snes->rtol;
4158:   if (stol) *stol = snes->stol;
4159:   if (maxit) *maxit = snes->max_its;
4160:   if (maxf) *maxf = snes->max_funcs;
4161:   PetscFunctionReturn(PETSC_SUCCESS);
4162: }

4164: /*@
4165:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4167:   Not Collective

4169:   Input Parameters:
4170: + snes   - the `SNES` context
4171: - divtol - divergence tolerance

4173:   Level: intermediate

4175: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4176: @*/
4177: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4178: {
4179:   PetscFunctionBegin;
4181:   if (divtol) *divtol = snes->divtol;
4182:   PetscFunctionReturn(PETSC_SUCCESS);
4183: }

4185: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4187: /*@
4188:   SNESMonitorLGRange - Line-graph monitor that plots the residual norm together with residual-range statistics for a `SNESSolve()`

4190:   Collective

4192:   Input Parameters:
4193: + snes   - the `SNES` context
4194: . n      - the iteration number
4195: . rnorm  - the 2-norm of the residual
4196: - monctx - a `PetscViewer` of type `PETSCVIEWERDRAW` set up with `PetscViewerMonitorLGSetUp()`

4198:   Level: intermediate

4200:   Note:
4201:   Plots four line graphs in the viewer: the residual norm (log scale), the fraction of residual entries larger than 20% of the maximum entry, the relative decrease `(prev - rnorm)/prev`, and their product.

4203: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`, `SNESMonitorDefault()`, `PetscViewerDrawGetDrawLG()`, `PetscDrawLG`
4204: @*/
4205: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, PetscCtx monctx)
4206: {
4207:   PetscDrawLG      lg;
4208:   PetscReal        x, y, per;
4209:   PetscViewer      v = (PetscViewer)monctx;
4210:   static PetscReal prev; /* should be in the context */
4211:   PetscDraw        draw;

4213:   PetscFunctionBegin;
4215:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4216:   if (!n) PetscCall(PetscDrawLGReset(lg));
4217:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4218:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4219:   x = (PetscReal)n;
4220:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4221:   else y = -15.0;
4222:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4223:   if (n < 20 || !(n % 5) || snes->reason) {
4224:     PetscCall(PetscDrawLGDraw(lg));
4225:     PetscCall(PetscDrawLGSave(lg));
4226:   }

4228:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4229:   if (!n) PetscCall(PetscDrawLGReset(lg));
4230:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4231:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4232:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4233:   x = (PetscReal)n;
4234:   y = 100.0 * per;
4235:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4236:   if (n < 20 || !(n % 5) || snes->reason) {
4237:     PetscCall(PetscDrawLGDraw(lg));
4238:     PetscCall(PetscDrawLGSave(lg));
4239:   }

4241:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4242:   if (!n) {
4243:     prev = rnorm;
4244:     PetscCall(PetscDrawLGReset(lg));
4245:   }
4246:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4247:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4248:   x = (PetscReal)n;
4249:   y = (prev - rnorm) / prev;
4250:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4251:   if (n < 20 || !(n % 5) || snes->reason) {
4252:     PetscCall(PetscDrawLGDraw(lg));
4253:     PetscCall(PetscDrawLGSave(lg));
4254:   }

4256:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4257:   if (!n) PetscCall(PetscDrawLGReset(lg));
4258:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4259:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4260:   x = (PetscReal)n;
4261:   y = (prev - rnorm) / (prev * per);
4262:   if (n > 2) { /*skip initial crazy value */
4263:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4264:   }
4265:   if (n < 20 || !(n % 5) || snes->reason) {
4266:     PetscCall(PetscDrawLGDraw(lg));
4267:     PetscCall(PetscDrawLGSave(lg));
4268:   }
4269:   prev = rnorm;
4270:   PetscFunctionReturn(PETSC_SUCCESS);
4271: }

4273: /*@
4274:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4276:   Collective

4278:   Input Parameters:
4279: + snes  - the `SNES` context
4280: . it    - current iteration
4281: . xnorm - 2-norm of current iterate
4282: . snorm - 2-norm of current step
4283: - fnorm - 2-norm of function

4285:   Level: developer

4287:   Note:
4288:   This routine is called by the `SNESSolve()` implementations.
4289:   It does not typically need to be called by the user.

4291: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4292: @*/
4293: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4294: {
4295:   PetscFunctionBegin;
4296:   if (!snes->reason) {
4297:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4298:     if (it == snes->max_its && !snes->reason) {
4299:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4300:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4301:         snes->reason = SNES_DIVERGED_MAX_IT;
4302:       } else snes->reason = SNES_CONVERGED_ITS;
4303:     }
4304:   }
4305:   PetscFunctionReturn(PETSC_SUCCESS);
4306: }

4308: /*@
4309:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4311:   Collective

4313:   Input Parameters:
4314: + snes  - nonlinear solver context obtained from `SNESCreate()`
4315: . iter  - current iteration number
4316: - rnorm - current relative norm of the residual

4318:   Level: developer

4320:   Note:
4321:   This routine is called by the `SNESSolve()` implementations.
4322:   It does not typically need to be called by the user.

4324: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4325: @*/
4326: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4327: {
4328:   PetscInt i, n = snes->numbermonitors;

4330:   PetscFunctionBegin;
4331:   PetscCall(VecLockReadPush(snes->vec_sol));
4332:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4333:   PetscCall(VecLockReadPop(snes->vec_sol));
4334:   PetscFunctionReturn(PETSC_SUCCESS);
4335: }

4337: /* ------------ Routines to set performance monitoring options ----------- */

4339: /*MC
4340:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4342:      Synopsis:
4343: #include <petscsnes.h>
4344:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, PetscCtx mctx)

4346:      Collective

4348:     Input Parameters:
4349: +    snes - the `SNES` context
4350: .    its - iteration number
4351: .    norm - 2-norm function value (may be estimated)
4352: -    mctx - [optional] monitoring context

4354:    Level: advanced

4356: .seealso: [](ch_snes), `SNESMonitorSet()`, `PetscCtx`
4357: M*/

4359: /*@
4360:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4361:   iteration of the `SNES` nonlinear solver to display the iteration's
4362:   progress.

4364:   Logically Collective

4366:   Input Parameters:
4367: + snes           - the `SNES` context
4368: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4369: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4370: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4372:   Calling sequence of f:
4373: + snes  - the `SNES` object
4374: . it    - the current iteration
4375: . rnorm - norm of the residual
4376: - mctx  - the optional monitor context

4378:   Options Database Keys:
4379: + -snes_monitor               - sets `SNESMonitorDefault()`
4380: . -snes_monitor draw::draw_lg - sets line graph monitor
4381: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4382:                                 the options database.

4384:   Level: intermediate

4386:   Note:
4387:   Several different monitoring routines may be set by calling
4388:   `SNESMonitorSet()` multiple times; all will be called in the
4389:   order in which they were set.

4391:   Fortran Note:
4392:   Only a single monitor function can be set for each `SNES` object

4394: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4395: @*/
4396: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscInt it, PetscReal rnorm, PetscCtx mctx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4397: {
4398:   PetscFunctionBegin;
4400:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4401:     PetscBool identical;

4403:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4404:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4405:   }
4406:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4407:   snes->monitor[snes->numbermonitors]          = f;
4408:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4409:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4410:   PetscFunctionReturn(PETSC_SUCCESS);
4411: }

4413: /*@
4414:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4416:   Logically Collective

4418:   Input Parameter:
4419: . snes - the `SNES` context

4421:   Options Database Key:
4422: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4423:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4424:                          set via the options database

4426:   Level: intermediate

4428:   Note:
4429:   There is no way to clear one specific monitor from a `SNES` object.

4431: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4432: @*/
4433: PetscErrorCode SNESMonitorCancel(SNES snes)
4434: {
4435:   PetscFunctionBegin;
4437:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4438:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4439:   }
4440:   snes->numbermonitors = 0;
4441:   PetscFunctionReturn(PETSC_SUCCESS);
4442: }

4444: /*@
4445:   SNESSetConvergenceTest - Sets the function that is to be used
4446:   to test for convergence of the nonlinear iterative solution.

4448:   Logically Collective

4450:   Input Parameters:
4451: + snes    - the `SNES` context
4452: . func    - routine to test for convergence
4453: . ctx     - [optional] context for private data for the convergence routine  (may be `NULL`)
4454: - destroy - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4456:   Calling sequence of func:
4457: + snes   - the `SNES` context
4458: . it     - the current iteration number
4459: . xnorm  - the norm of the new solution
4460: . snorm  - the norm of the step
4461: . fnorm  - the norm of the function value
4462: . reason - output, the reason convergence or divergence as declared
4463: - ctx    - the optional convergence test context

4465:   Level: advanced

4467: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`
4468: @*/
4469: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm, SNESConvergedReason *reason, PetscCtx ctx), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4470: {
4471:   PetscFunctionBegin;
4473:   if (!func) func = SNESConvergedSkip;
4474:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4475:   snes->ops->converged        = func;
4476:   snes->ops->convergeddestroy = destroy;
4477:   snes->cnvP                  = ctx;
4478:   PetscFunctionReturn(PETSC_SUCCESS);
4479: }

4481: /*@
4482:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4484:   Not Collective

4486:   Input Parameter:
4487: . snes - the `SNES` context

4489:   Output Parameter:
4490: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4492:   Options Database Key:
4493: . -snes_converged_reason - prints the reason to standard out

4495:   Level: intermediate

4497:   Note:
4498:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4500: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4501: @*/
4502: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4503: {
4504:   PetscFunctionBegin;
4506:   PetscAssertPointer(reason, 2);
4507:   *reason = snes->reason;
4508:   PetscFunctionReturn(PETSC_SUCCESS);
4509: }

4511: /*@
4512:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4514:   Not Collective

4516:   Input Parameter:
4517: . snes - the `SNES` context

4519:   Output Parameter:
4520: . strreason - a human readable string that describes `SNES` converged reason

4522:   Level: beginner

4524: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4525: @*/
4526: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char *strreason[])
4527: {
4528:   PetscFunctionBegin;
4530:   PetscAssertPointer(strreason, 2);
4531:   *strreason = SNESConvergedReasons[snes->reason];
4532:   PetscFunctionReturn(PETSC_SUCCESS);
4533: }

4535: /*@
4536:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4538:   Logically Collective

4540:   Input Parameters:
4541: + snes   - the `SNES` context
4542: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4543:             manual pages for the individual convergence tests for complete lists

4545:   Level: developer

4547:   Developer Note:
4548:   Called inside the various `SNESSolve()` implementations

4550: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4551: @*/
4552: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4553: {
4554:   PetscFunctionBegin;
4557:   snes->reason = reason;
4558:   PetscFunctionReturn(PETSC_SUCCESS);
4559: }

4561: /*@
4562:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4564:   Logically Collective

4566:   Input Parameters:
4567: + snes  - iterative context obtained from `SNESCreate()`
4568: . a     - array to hold history, this array will contain the function norms computed at each step
4569: . its   - integer array holds the number of linear iterations for each solve.
4570: . na    - size of `a` and `its`
4571: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4572:           else it continues storing new values for new nonlinear solves after the old ones

4574:   Level: intermediate

4576:   Notes:
4577:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4578:   default array of length 1,000 is allocated.

4580:   This routine is useful, e.g., when running a code for purposes
4581:   of accurate performance monitoring, when no I/O should be done
4582:   during the section of code that is being timed.

4584:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4586: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4587: @*/
4588: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4589: {
4590:   PetscFunctionBegin;
4592:   if (a) PetscAssertPointer(a, 2);
4593:   if (its) PetscAssertPointer(its, 3);
4594:   if (!a) {
4595:     if (na == PETSC_DECIDE) na = 1000;
4596:     PetscCall(PetscCalloc2(na, &a, na, &its));
4597:     snes->conv_hist_alloc = PETSC_TRUE;
4598:   }
4599:   snes->conv_hist       = a;
4600:   snes->conv_hist_its   = its;
4601:   snes->conv_hist_max   = (size_t)na;
4602:   snes->conv_hist_len   = 0;
4603:   snes->conv_hist_reset = reset;
4604:   PetscFunctionReturn(PETSC_SUCCESS);
4605: }

4607: #if PetscDefined(HAVE_MATLAB)
4608:   #include <engine.h> /* MATLAB include file */
4609:   #include <mex.h>    /* MATLAB include file */

4611: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4612: {
4613:   mxArray   *mat;
4614:   PetscReal *ar;

4616:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4617:   ar  = (PetscReal *)mxGetData(mat);
4618:   for (PetscInt i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4619:   return mat;
4620: }
4621: #endif

4623: /*@
4624:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4626:   Not Collective

4628:   Input Parameter:
4629: . snes - iterative context obtained from `SNESCreate()`

4631:   Output Parameters:
4632: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4633: . its - integer array holds the number of linear iterations (or
4634:          negative if not converged) for each solve.
4635: - na  - size of `a` and `its`

4637:   Level: intermediate

4639:   Note:
4640:   This routine is useful, e.g., when running a code for purposes
4641:   of accurate performance monitoring, when no I/O should be done
4642:   during the section of code that is being timed.

4644:   Fortran Notes:
4645:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4647:   Use the arguments
4648: .vb
4649:   PetscReal, pointer :: a(:)
4650:   PetscInt, pointer :: its(:)
4651: .ve

4653: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4654: @*/
4655: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4656: {
4657:   PetscFunctionBegin;
4659:   if (a) *a = snes->conv_hist;
4660:   if (its) *its = snes->conv_hist_its;
4661:   if (na) *na = (PetscInt)snes->conv_hist_len;
4662:   PetscFunctionReturn(PETSC_SUCCESS);
4663: }

4665: /*@
4666:   SNESSetUpdate - Sets the general-purpose update function called
4667:   at the beginning of every iteration of the nonlinear solve. Specifically
4668:   it is called just before the Jacobian is "evaluated" and after the function
4669:   evaluation.

4671:   Logically Collective

4673:   Input Parameters:
4674: + snes - The nonlinear solver context
4675: - func - The update function; for calling sequence see `SNESUpdateFn`

4677:   Level: advanced

4679:   Notes:
4680:   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
4681:   to `SNESSetFunction()`, or `SNESSetPicard()`
4682:   This is not used by most users, and it is intended to provide a general hook that is run
4683:   right before the direction step is computed.

4685:   Users are free to modify the current residual vector,
4686:   the current linearization point, or any other vector associated to the specific solver used.
4687:   If such modifications take place, it is the user responsibility to update all the relevant
4688:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4689: .vb
4690:   PetscErrorCode update(SNES snes, PetscInt iteration)
4691:   {
4692:     PetscFunctionBeginUser;
4693:     if (iteration > 0) {
4694:       // update the model parameters here
4695:       Vec x,f;
4696:       PetscCall(SNESGetSolution(snes,&x));
4697:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4698:       PetscCall(SNESComputeFunction(snes,x,f));
4699:     }
4700:     PetscFunctionReturn(PETSC_SUCCESS);
4701:   }
4702: .ve

4704:   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.

4706: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4707:          `SNESMonitorSet()`
4708: @*/
4709: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4710: {
4711:   PetscFunctionBegin;
4713:   snes->ops->update = func;
4714:   PetscFunctionReturn(PETSC_SUCCESS);
4715: }

4717: /*@
4718:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4720:   Collective

4722:   Input Parameters:
4723: + snes   - iterative context obtained from `SNESCreate()`
4724: - viewer - the viewer to display the reason

4726:   Options Database Keys:
4727: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4728: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4730:   Level: beginner

4732:   Note:
4733:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4734:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4736: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4737:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4738:           `SNESConvergedReasonViewFromOptions()`,
4739:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4740: @*/
4741: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4742: {
4743:   PetscViewerFormat format;
4744:   PetscBool         isAscii;

4746:   PetscFunctionBegin;
4747:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4748:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4749:   if (isAscii) {
4750:     PetscCall(PetscViewerGetFormat(viewer, &format));
4751:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4752:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4753:       DM       dm;
4754:       Vec      u;
4755:       PetscDS  prob;
4756:       PetscInt Nf;
4757:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4758:       void    **exactCtx;
4759:       PetscReal error;

4761:       PetscCall(SNESGetDM(snes, &dm));
4762:       PetscCall(SNESGetSolution(snes, &u));
4763:       PetscCall(DMGetDS(dm, &prob));
4764:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4765:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4766:       for (PetscInt f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4767:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4768:       PetscCall(PetscFree2(exactSol, exactCtx));
4769:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4770:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4771:     }
4772:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4773:       if (((PetscObject)snes)->prefix) {
4774:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4775:       } else {
4776:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4777:       }
4778:     } else if (snes->reason <= 0) {
4779:       if (((PetscObject)snes)->prefix) {
4780:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4781:       } else {
4782:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4783:       }
4784:     }
4785:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4786:   }
4787:   PetscFunctionReturn(PETSC_SUCCESS);
4788: }

4790: /*@
4791:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4792:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4794:   Logically Collective

4796:   Input Parameters:
4797: + snes              - the `SNES` context
4798: . f                 - the `SNESConvergedReason` view function
4799: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4800: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4802:   Calling sequence of `f`:
4803: + snes - the `SNES` context
4804: - vctx - [optional] context for private data for the function

4806:   Options Database Keys:
4807: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4808: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4809:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4811:   Level: intermediate

4813:   Note:
4814:   Several different converged reason view routines may be set by calling
4815:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4816:   order in which they were set.

4818: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4819:           `PetscCtxDestroyFn`
4820: @*/
4821: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscCtx vctx), PetscCtx vctx, PetscCtxDestroyFn *reasonviewdestroy)
4822: {
4823:   PetscFunctionBegin;
4825:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4826:     PetscBool identical;

4828:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4829:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4830:   }
4831:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4832:   snes->reasonview[snes->numberreasonviews]          = f;
4833:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4834:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4835:   PetscFunctionReturn(PETSC_SUCCESS);
4836: }

4838: /*@
4839:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4840:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4842:   Collective

4844:   Input Parameter:
4845: . snes - the `SNES` object

4847:   Level: advanced

4849:   Note:
4850:   This function has a different API and behavior than `PetscObjectViewFromOptions()`

4852: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4853:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4854: @*/
4855: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4856: {
4857:   static PetscBool incall = PETSC_FALSE;

4859:   PetscFunctionBegin;
4860:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4861:   incall = PETSC_TRUE;

4863:   /* All user-provided viewers are called first, if they exist. */
4864:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4866:   /* Call PETSc default routine if users ask for it */
4867:   if (snes->convergedreasonviewer) {
4868:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4869:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4870:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4871:   }
4872:   incall = PETSC_FALSE;
4873:   PetscFunctionReturn(PETSC_SUCCESS);
4874: }

4876: /*@
4877:   SNESSolve - Solves a nonlinear system $F(x) = b$ associated with a `SNES` object

4879:   Collective

4881:   Input Parameters:
4882: + snes - the `SNES` context
4883: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4884: - x    - the solution vector.

4886:   Level: beginner

4888:   Note:
4889:   The user should initialize the vector, `x`, with the initial guess
4890:   for the nonlinear solve prior to calling `SNESSolve()` .

4892: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4893:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4894:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4895: @*/
4896: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4897: {
4898:   PetscBool flg;
4899:   Vec       xcreated = NULL;
4900:   DM        dm;

4902:   PetscFunctionBegin;
4905:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4907:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4909:   /* High level operations using the nonlinear solver */
4910:   {
4911:     PetscViewer       viewer;
4912:     PetscViewerFormat format;
4913:     PetscInt          num;
4914:     PetscBool         flg;
4915:     static PetscBool  incall = PETSC_FALSE;

4917:     if (!incall) {
4918:       /* Estimate the convergence rate of the discretization */
4919:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4920:       if (flg) {
4921:         PetscConvEst conv;
4922:         DM           dm;
4923:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4924:         PetscInt     Nf;

4926:         incall = PETSC_TRUE;
4927:         PetscCall(SNESGetDM(snes, &dm));
4928:         PetscCall(DMGetNumFields(dm, &Nf));
4929:         PetscCall(PetscCalloc1(Nf, &alpha));
4930:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4931:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4932:         PetscCall(PetscConvEstSetFromOptions(conv));
4933:         PetscCall(PetscConvEstSetUp(conv));
4934:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4935:         PetscCall(PetscViewerPushFormat(viewer, format));
4936:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4937:         PetscCall(PetscViewerPopFormat(viewer));
4938:         PetscCall(PetscViewerDestroy(&viewer));
4939:         PetscCall(PetscConvEstDestroy(&conv));
4940:         PetscCall(PetscFree(alpha));
4941:         incall = PETSC_FALSE;
4942:       }
4943:       /* Adaptively refine the initial grid */
4944:       num = 1;
4945:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4946:       if (flg) {
4947:         DMAdaptor adaptor;

4949:         incall = PETSC_TRUE;
4950:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4951:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4952:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4953:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4954:         PetscCall(DMAdaptorSetUp(adaptor));
4955:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4956:         PetscCall(DMAdaptorDestroy(&adaptor));
4957:         incall = PETSC_FALSE;
4958:       }
4959:       /* Use grid sequencing to adapt */
4960:       num = 0;
4961:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4962:       if (num) {
4963:         DMAdaptor   adaptor;
4964:         const char *prefix;

4966:         incall = PETSC_TRUE;
4967:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4968:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4969:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4970:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4971:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4972:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4973:         PetscCall(DMAdaptorSetUp(adaptor));
4974:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4975:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4976:         PetscCall(DMAdaptorDestroy(&adaptor));
4977:         incall = PETSC_FALSE;
4978:       }
4979:     }
4980:   }
4981:   if (!x) x = snes->vec_sol;
4982:   if (!x) {
4983:     PetscCall(SNESGetDM(snes, &dm));
4984:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4985:     x = xcreated;
4986:   }
4987:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4989:   for (PetscInt grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4990:   for (PetscInt grid = 0; grid < snes->gridsequence + 1; grid++) {
4991:     /* set solution vector */
4992:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4993:     PetscCall(VecDestroy(&snes->vec_sol));
4994:     snes->vec_sol = x;
4995:     PetscCall(SNESGetDM(snes, &dm));

4997:     /* set affine vector if provided */
4998:     PetscCall(PetscObjectReference((PetscObject)b));
4999:     PetscCall(VecDestroy(&snes->vec_rhs));
5000:     snes->vec_rhs = b;

5002:     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");
5003:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
5004:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
5005:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
5006:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
5007:     PetscCall(SNESSetUp(snes));

5009:     if (!grid) {
5010:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
5011:     }

5013:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
5014:     PetscCall(SNESResetCounters(snes));
5015:     snes->reason = SNES_CONVERGED_ITERATING;
5016:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
5017:     PetscUseTypeMethod(snes, solve);
5018:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
5019:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
5020:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
5021:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
5022:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

5024:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
5025:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

5027:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
5028:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
5029:     /* Call converged reason views. This may involve user-provided viewers as well */
5030:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

5032:     if (snes->errorifnotconverged) {
5033:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
5034:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
5035:     }
5036:     if (snes->reason < 0) break;
5037:     if (grid < snes->gridsequence) {
5038:       DM  fine;
5039:       Vec xnew;
5040:       Mat interp;

5042:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
5043:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
5044:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
5045:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
5046:       PetscCall(DMCreateGlobalVector(fine, &xnew));
5047:       PetscCall(MatInterpolate(interp, x, xnew));
5048:       PetscCall(DMInterpolate(snes->dm, interp, fine));
5049:       PetscCall(MatDestroy(&interp));
5050:       x = xnew;

5052:       PetscCall(SNESReset(snes));
5053:       PetscCall(SNESSetDM(snes, fine));
5054:       PetscCall(SNESResetFromOptions(snes));
5055:       PetscCall(DMDestroy(&fine));
5056:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
5057:     }
5058:   }
5059:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
5060:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
5061:   PetscCall(DMMonitor(snes->dm));
5062:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

5064:   PetscCall(VecDestroy(&xcreated));
5065:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
5066:   PetscFunctionReturn(PETSC_SUCCESS);
5067: }

5069: /* --------- Internal routines for SNES Package --------- */

5071: /*@
5072:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

5074:   Collective

5076:   Input Parameters:
5077: + snes - the `SNES` context
5078: - type - a known method

5080:   Options Database Key:
5081: . -snes_type type - Sets the method; see `SNESType`

5083:   Level: intermediate

5085:   Notes:
5086:   See `SNESType` for available methods (for instance)
5087: +    `SNESNEWTONLS` - Newton's method with line search
5088:   (systems of nonlinear equations)
5089: -    `SNESNEWTONTR` - Newton's method with trust region
5090:   (systems of nonlinear equations)

5092:   Normally, it is best to use the `SNESSetFromOptions()` command and then
5093:   set the `SNES` solver type from the options database rather than by using
5094:   this routine.  Using the options database provides the user with
5095:   maximum flexibility in evaluating the many nonlinear solvers.
5096:   The `SNESSetType()` routine is provided for those situations where it
5097:   is necessary to set the nonlinear solver independently of the command
5098:   line or options database.  This might be the case, for example, when
5099:   the choice of solver changes during the execution of the program,
5100:   and the user's application is taking responsibility for choosing the
5101:   appropriate method.

5103:   Developer Note:
5104:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
5105:   the constructor in that list and calls it to create the specific object.

5107: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
5108: @*/
5109: PetscErrorCode SNESSetType(SNES snes, SNESType type)
5110: {
5111:   PetscBool match;
5112:   PetscErrorCode (*r)(SNES);

5114:   PetscFunctionBegin;
5116:   PetscAssertPointer(type, 2);

5118:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
5119:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

5121:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
5122:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
5123:   /* Destroy the previous private SNES context */
5124:   PetscTryTypeMethod(snes, destroy);
5125:   /* Reinitialize type-specific function pointers in SNESOps structure */
5126:   snes->ops->reset          = NULL;
5127:   snes->ops->setup          = NULL;
5128:   snes->ops->solve          = NULL;
5129:   snes->ops->view           = NULL;
5130:   snes->ops->setfromoptions = NULL;
5131:   snes->ops->destroy        = NULL;

5133:   /* It may happen the user has customized the line search before calling SNESSetType */
5134:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5136:   /* Reinitialize default parameters */
5137:   PetscCall(SNESParametersInitialize(snes));

5139:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5140:   snes->setupcalled = PETSC_FALSE;
5141:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5142:   PetscCall((*r)(snes));
5143:   PetscFunctionReturn(PETSC_SUCCESS);
5144: }

5146: /*@
5147:   SNESGetType - Gets the `SNES` method type and name (as a string).

5149:   Not Collective

5151:   Input Parameter:
5152: . snes - nonlinear solver context

5154:   Output Parameter:
5155: . type - `SNES` method (a character string)

5157:   Level: intermediate

5159:   Note:
5160:   `type` should not be retained for later use as it will be an invalid pointer if the `SNESType` of `snes` is changed.

5162: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`, `PetscObjectTypeCompare()`, `PetscObjectTypeCompareAny()`
5163: @*/
5164: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5165: {
5166:   PetscFunctionBegin;
5168:   PetscAssertPointer(type, 2);
5169:   *type = ((PetscObject)snes)->type_name;
5170:   PetscFunctionReturn(PETSC_SUCCESS);
5171: }

5173: /*@
5174:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5176:   Logically Collective

5178:   Input Parameters:
5179: + snes - the `SNES` context obtained from `SNESCreate()`
5180: - u    - the solution vector

5182:   Level: beginner

5184: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5185: @*/
5186: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5187: {
5188:   DM dm;

5190:   PetscFunctionBegin;
5193:   PetscCall(PetscObjectReference((PetscObject)u));
5194:   PetscCall(VecDestroy(&snes->vec_sol));

5196:   snes->vec_sol = u;

5198:   PetscCall(SNESGetDM(snes, &dm));
5199:   PetscCall(DMShellSetGlobalVector(dm, u));
5200:   PetscFunctionReturn(PETSC_SUCCESS);
5201: }

5203: /*@
5204:   SNESGetSolution - Returns the vector where the approximate solution is
5205:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5207:   Not Collective, but `x` is parallel if `snes` is parallel

5209:   Input Parameter:
5210: . snes - the `SNES` context

5212:   Output Parameter:
5213: . x - the solution

5215:   Level: intermediate

5217: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5218: @*/
5219: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5220: {
5221:   PetscFunctionBegin;
5223:   PetscAssertPointer(x, 2);
5224:   *x = snes->vec_sol;
5225:   PetscFunctionReturn(PETSC_SUCCESS);
5226: }

5228: /*@
5229:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5230:   stored.

5232:   Not Collective, but `x` is parallel if `snes` is parallel

5234:   Input Parameter:
5235: . snes - the `SNES` context

5237:   Output Parameter:
5238: . x - the solution update

5240:   Level: advanced

5242: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5243: @*/
5244: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5245: {
5246:   PetscFunctionBegin;
5248:   PetscAssertPointer(x, 2);
5249:   *x = snes->vec_sol_update;
5250:   PetscFunctionReturn(PETSC_SUCCESS);
5251: }

5253: /*@
5254:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5256:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5258:   Input Parameter:
5259: . snes - the `SNES` context

5261:   Output Parameters:
5262: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5263: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5264: - ctx - the function context (or `NULL` if you don't want it)

5266:   Level: advanced

5268:   Note:
5269:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5271: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5272: @*/
5273: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5274: {
5275:   DM dm;

5277:   PetscFunctionBegin;
5279:   if (r) {
5280:     if (!snes->vec_func) {
5281:       if (snes->vec_rhs) {
5282:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5283:       } else if (snes->vec_sol) {
5284:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5285:       } else if (snes->dm) {
5286:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5287:       }
5288:     }
5289:     *r = snes->vec_func;
5290:   }
5291:   PetscCall(SNESGetDM(snes, &dm));
5292:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5293:   PetscFunctionReturn(PETSC_SUCCESS);
5294: }

5296: /*@
5297:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5299:   Input Parameter:
5300: . snes - the `SNES` context

5302:   Output Parameters:
5303: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5304: - ctx - the function context (or `NULL`)

5306:   Level: advanced

5308: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5309: @*/
5310: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5311: {
5312:   DM dm;

5314:   PetscFunctionBegin;
5316:   PetscCall(SNESGetDM(snes, &dm));
5317:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5318:   PetscFunctionReturn(PETSC_SUCCESS);
5319: }

5321: /*@
5322:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5323:   `SNES` options in the database.

5325:   Logically Collective

5327:   Input Parameters:
5328: + snes   - the `SNES` context
5329: - prefix - the prefix to prepend to all option names

5331:   Level: advanced

5333:   Note:
5334:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5335:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5337: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5338: @*/
5339: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5340: {
5341:   PetscFunctionBegin;
5343:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5344:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5345:   if (snes->linesearch) {
5346:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5347:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5348:   }
5349:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5350:   PetscFunctionReturn(PETSC_SUCCESS);
5351: }

5353: /*@
5354:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5355:   `SNES` options in the database.

5357:   Logically Collective

5359:   Input Parameters:
5360: + snes   - the `SNES` context
5361: - prefix - the prefix to prepend to all option names

5363:   Level: advanced

5365:   Note:
5366:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5367:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5369: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5370: @*/
5371: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5372: {
5373:   PetscFunctionBegin;
5375:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5376:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5377:   if (snes->linesearch) {
5378:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5379:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5380:   }
5381:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5382:   PetscFunctionReturn(PETSC_SUCCESS);
5383: }

5385: /*@
5386:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5387:   `SNES` options in the database.

5389:   Not Collective

5391:   Input Parameter:
5392: . snes - the `SNES` context

5394:   Output Parameter:
5395: . prefix - pointer to the prefix string used

5397:   Level: advanced

5399: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5400: @*/
5401: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5402: {
5403:   PetscFunctionBegin;
5405:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5406:   PetscFunctionReturn(PETSC_SUCCESS);
5407: }

5409: /*@
5410:   SNESRegister - Adds a method to the nonlinear solver package.

5412:   Not Collective

5414:   Input Parameters:
5415: + sname    - name of a new user-defined solver
5416: - function - routine to create method context

5418:   Level: advanced

5420:   Note:
5421:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5423:   Example Usage:
5424: .vb
5425:    SNESRegister("my_solver", MySolverCreate);
5426: .ve

5428:   Then, your solver can be chosen with the procedural interface via
5429: .vb
5430:   SNESSetType(snes, "my_solver")
5431: .ve
5432:   or at runtime via the option
5433: .vb
5434:   -snes_type my_solver
5435: .ve

5437: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5438: @*/
5439: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5440: {
5441:   PetscFunctionBegin;
5442:   PetscCall(SNESInitializePackage());
5443:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5444:   PetscFunctionReturn(PETSC_SUCCESS);
5445: }

5447: /*@
5448:   SNESTestLocalMin - Diagnostic that probes each entry of the current `SNES` solution to check whether the residual norm has a local minimum along the coordinate directions

5450:   Collective

5452:   Input Parameter:
5453: . snes - the `SNES` context

5455:   Level: developer

5457:   Note:
5458:   Currently intended for serial runs. For each degree of freedom it perturbs the solution by increasing amounts and prints the resulting `SNESComputeFunction()` residual norms so the user can inspect local behavior.

5460: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESComputeFunction()`
5461: @*/
5462: PetscErrorCode SNESTestLocalMin(SNES snes)
5463: {
5464:   PetscInt    N, i, j;
5465:   Vec         u, uh, fh;
5466:   PetscScalar value;
5467:   PetscReal   norm;

5469:   PetscFunctionBegin;
5470:   PetscCall(SNESGetSolution(snes, &u));
5471:   PetscCall(VecDuplicate(u, &uh));
5472:   PetscCall(VecDuplicate(u, &fh));

5474:   /* currently only works for sequential */
5475:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5476:   PetscCall(VecGetSize(u, &N));
5477:   for (i = 0; i < N; i++) {
5478:     PetscCall(VecCopy(u, uh));
5479:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5480:     for (j = -10; j < 11; j++) {
5481:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5482:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5483:       PetscCall(SNESComputeFunction(snes, uh, fh));
5484:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5485:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5486:       value = -value;
5487:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5488:     }
5489:   }
5490:   PetscCall(VecDestroy(&uh));
5491:   PetscCall(VecDestroy(&fh));
5492:   PetscFunctionReturn(PETSC_SUCCESS);
5493: }

5495: /*@
5496:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5498:   Not Collective

5500:   Input Parameter:
5501: . snes - iterative context obtained from `SNESCreate()`

5503:   Output Parameter:
5504: . linesearch - linesearch context

5506:   Level: beginner

5508:   Notes:
5509:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5511:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5513: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5514: @*/
5515: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5516: {
5517:   const char *optionsprefix;

5519:   PetscFunctionBegin;
5521:   PetscAssertPointer(linesearch, 2);
5522:   if (!snes->linesearch) {
5523:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5524:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5525:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5526:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5527:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5528:   }
5529:   *linesearch = snes->linesearch;
5530:   PetscFunctionReturn(PETSC_SUCCESS);
5531: }

5533: /*@
5534:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5535:   computing relative tolerance for linear solvers within an inexact
5536:   Newton method.

5538:   Logically Collective

5540:   Input Parameters:
5541: + snes - `SNES` context
5542: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5544:   Options Database Keys:
5545: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
5546: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
5547: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
5548: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
5549: . -snes_ksp_ew_gamma gamma         - Sets gamma
5550: . -snes_ksp_ew_alpha alpha         - Sets alpha
5551: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
5552: - -snes_ksp_ew_threshold threshold - Sets threshold

5554:   Level: advanced

5556:   Note:
5557:   The default is to use a constant relative tolerance for
5558:   the inner linear solvers.  Alternatively, one can use the
5559:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5560:   is reset at each Newton iteration according progress of the nonlinear
5561:   solver.

5563: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5564: @*/
5565: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5566: {
5567:   PetscFunctionBegin;
5570:   snes->ksp_ewconv = flag;
5571:   PetscFunctionReturn(PETSC_SUCCESS);
5572: }

5574: /*@
5575:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5576:   for computing relative tolerance for linear solvers within an
5577:   inexact Newton method.

5579:   Not Collective

5581:   Input Parameter:
5582: . snes - `SNES` context

5584:   Output Parameter:
5585: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5587:   Level: advanced

5589: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5590: @*/
5591: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5592: {
5593:   PetscFunctionBegin;
5595:   PetscAssertPointer(flag, 2);
5596:   *flag = snes->ksp_ewconv;
5597:   PetscFunctionReturn(PETSC_SUCCESS);
5598: }

5600: /*@
5601:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5602:   convergence criteria for the linear solvers within an inexact
5603:   Newton method.

5605:   Logically Collective

5607:   Input Parameters:
5608: + snes      - `SNES` context
5609: . version   - version 1, 2 (default is 2), 3 or 4
5610: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5611: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5612: . gamma     - multiplicative factor for version 2 rtol computation
5613:              (0 <= gamma2 <= 1)
5614: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5615: . alpha2    - power for safeguard
5616: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5618:   Level: advanced

5620:   Notes:
5621:   Version 3 was contributed by Luis Chacon, June 2006.

5623:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5625: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5626: @*/
5627: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5628: {
5629:   SNESKSPEW *kctx;

5631:   PetscFunctionBegin;
5633:   kctx = (SNESKSPEW *)snes->kspconvctx;
5634:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5643:   if (version != PETSC_CURRENT) kctx->version = version;
5644:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5645:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5646:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5647:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5648:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5649:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5651:   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);
5652:   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);
5653:   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);
5654:   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);
5655:   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);
5656:   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);
5657:   PetscFunctionReturn(PETSC_SUCCESS);
5658: }

5660: /*@
5661:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5662:   convergence criteria for the linear solvers within an inexact
5663:   Newton method.

5665:   Not Collective

5667:   Input Parameter:
5668: . snes - `SNES` context

5670:   Output Parameters:
5671: + version   - version 1, 2 (default is 2), 3 or 4
5672: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5673: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5674: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5675: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5676: . alpha2    - power for safeguard
5677: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5679:   Level: advanced

5681: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5682: @*/
5683: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5684: {
5685:   SNESKSPEW *kctx;

5687:   PetscFunctionBegin;
5689:   kctx = (SNESKSPEW *)snes->kspconvctx;
5690:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5691:   if (version) *version = kctx->version;
5692:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5693:   if (rtol_max) *rtol_max = kctx->rtol_max;
5694:   if (gamma) *gamma = kctx->gamma;
5695:   if (alpha) *alpha = kctx->alpha;
5696:   if (alpha2) *alpha2 = kctx->alpha2;
5697:   if (threshold) *threshold = kctx->threshold;
5698:   PetscFunctionReturn(PETSC_SUCCESS);
5699: }

5701: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5702: {
5703:   SNES       snes = (SNES)ctx;
5704:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5705:   PetscReal  rtol = PETSC_CURRENT, stol;

5707:   PetscFunctionBegin;
5708:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5709:   if (!snes->iter) {
5710:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5711:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5712:   } else {
5713:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5714:     if (kctx->version == 1) {
5715:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5716:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5717:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5718:     } else if (kctx->version == 2) {
5719:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5720:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5721:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5722:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5723:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5724:       /* safeguard: avoid sharp decrease of rtol */
5725:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5726:       stol = PetscMax(rtol, stol);
5727:       rtol = PetscMin(kctx->rtol_0, stol);
5728:       /* safeguard: avoid oversolving */
5729:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5730:       stol = PetscMax(rtol, stol);
5731:       rtol = PetscMin(kctx->rtol_0, stol);
5732:     } else /* if (kctx->version == 4) */ {
5733:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5734:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5735:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5736:       PetscReal rk   = ared / pred;
5737:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5738:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5739:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5740:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5742:       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;
5743:       kctx->rtol_last_2 = kctx->rtol_last;
5744:       kctx->rk_last_2   = kctx->rk_last;
5745:       kctx->rk_last     = rk;
5746:     }
5747:   }
5748:   /* safeguard: avoid rtol greater than rtol_max */
5749:   rtol = PetscMin(rtol, kctx->rtol_max);
5750:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5751:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5752:   PetscFunctionReturn(PETSC_SUCCESS);
5753: }

5755: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5756: {
5757:   SNES       snes = (SNES)ctx;
5758:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5759:   PCSide     pcside;
5760:   Vec        lres;

5762:   PetscFunctionBegin;
5763:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5764:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5765:   kctx->norm_last = snes->norm;
5766:   if (kctx->version == 1 || kctx->version == 4) {
5767:     PC        pc;
5768:     PetscBool getRes;

5770:     PetscCall(KSPGetPC(ksp, &pc));
5771:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5772:     if (!getRes) {
5773:       KSPNormType normtype;

5775:       PetscCall(KSPGetNormType(ksp, &normtype));
5776:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5777:     }
5778:     PetscCall(KSPGetPCSide(ksp, &pcside));
5779:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5780:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5781:     } else {
5782:       /* KSP residual is preconditioned residual */
5783:       /* compute true linear residual norm */
5784:       Mat J;
5785:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5786:       PetscCall(VecDuplicate(b, &lres));
5787:       PetscCall(MatMult(J, x, lres));
5788:       PetscCall(VecAYPX(lres, -1.0, b));
5789:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5790:       PetscCall(VecDestroy(&lres));
5791:     }
5792:   }
5793:   PetscFunctionReturn(PETSC_SUCCESS);
5794: }

5796: #include <petsc/private/kspimpl.h>
5797: /*@
5798:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5800:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5802:   Input Parameter:
5803: . snes - the `SNES` context

5805:   Output Parameter:
5806: . ksp - the `KSP` context

5808:   Level: beginner

5810:   Notes:
5811:   The user can then directly manipulate the `KSP` context to set various
5812:   options, etc.  Likewise, the user can then extract and manipulate the
5813:   `PC` contexts as well.

5815:   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.

5817: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5818: @*/
5819: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5820: {
5821:   PetscFunctionBegin;
5823:   PetscAssertPointer(ksp, 2);

5825:   if (!snes->ksp) {
5826:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5827:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5829:     snes->ksp->presolve_ew  = KSPPreSolve_SNESEW;
5830:     snes->ksp->prectx_ew    = snes;
5831:     snes->ksp->postsolve_ew = KSPPostSolve_SNESEW;
5832:     snes->ksp->postctx_ew   = snes;

5834:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5835:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5836:   }
5837:   *ksp = snes->ksp;
5838:   PetscFunctionReturn(PETSC_SUCCESS);
5839: }

5841: #include <petsc/private/dmimpl.h>
5842: /*@
5843:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5845:   Logically Collective

5847:   Input Parameters:
5848: + snes - the nonlinear solver context
5849: - dm   - the `DM`, cannot be `NULL`

5851:   Level: intermediate

5853:   Note:
5854:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5855:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5856:   problems using the same function space.

5858: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5859: @*/
5860: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5861: {
5862:   KSP    ksp;
5863:   DMSNES sdm;
5864:   DM     odm;

5866:   PetscFunctionBegin;
5869:   PetscCall(PetscObjectReference((PetscObject)dm));
5870:   odm = snes->dm;
5871:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5872:     if (snes->dm->dmsnes && !dm->dmsnes) {
5873:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5874:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5875:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5876:     }
5877:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5878:     PetscCall(DMDestroy(&snes->dm));
5879:   }
5880:   snes->dm     = dm;
5881:   snes->dmAuto = PETSC_FALSE;

5883:   PetscCall(SNESGetKSP(snes, &ksp));
5884:   PetscCall(KSPSetDM(ksp, dm));
5885:   PetscCall(KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE));
5886:   /* Propagate DM to NPC if npc does not have one yet or
5887:      if it has the same DM SNES had before (like for gridsequencing) */
5888:   if (snes->npc && (!snes->npc->dm || snes->npc->dm == odm)) PetscCall(SNESSetDM(snes->npc, snes->dm));
5889:   PetscFunctionReturn(PETSC_SUCCESS);
5890: }

5892: /*@
5893:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5895:   Not Collective but `dm` obtained is parallel on `snes`

5897:   Input Parameter:
5898: . snes - the `SNES` context

5900:   Output Parameter:
5901: . dm - the `DM`

5903:   Level: intermediate

5905: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5906: @*/
5907: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5908: {
5909:   PetscFunctionBegin;
5911:   if (!snes->dm) {
5912:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5913:     snes->dmAuto = PETSC_TRUE;
5914:   }
5915:   *dm = snes->dm;
5916:   PetscFunctionReturn(PETSC_SUCCESS);
5917: }

5919: /*@
5920:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5922:   Collective

5924:   Input Parameters:
5925: + snes - iterative context obtained from `SNESCreate()`
5926: - npc  - the `SNES` nonlinear preconditioner object

5928:   Level: developer

5930:   Notes:
5931:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5933:   Only some `SNESType` can use a nonlinear preconditioner

5935: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5936: @*/
5937: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5938: {
5939:   PetscFunctionBegin;
5942:   PetscCheckSameComm(snes, 1, npc, 2);
5943:   PetscCall(PetscObjectReference((PetscObject)npc));
5944:   PetscCall(SNESDestroy(&snes->npc));
5945:   snes->npc = npc;
5946:   PetscFunctionReturn(PETSC_SUCCESS);
5947: }

5949: /*@
5950:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5952:   Collective the first time it is called if the `SNES` has no NPC set.

5954:   Input Parameter:
5955: . snes - iterative context obtained from `SNESCreate()`

5957:   Output Parameter:
5958: . npc - the `SNES` preconditioner context

5960:   Options Database Key:
5961: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5963:   Level: advanced

5965:   Notes:
5966:   If a `SNES` was previously set with `SNESSetNPC()` then that object is returned, otherwise a new `SNES` object is created that will
5967:   be used as the nonlinear preconditioner for the current `SNES` if no nonlinear preconditioner is present.

5969:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5970:   `SNES`. These may be overwritten if needed by calling `SNESSetDM()` on the nonlinear preconditioner followed by `SNESSetFunction()`
5971:   and `SNESSetJacobian()`.

5973:   The default preconditioner uses the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration.

5975: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5976: @*/
5977: PetscErrorCode SNESGetNPC(SNES snes, SNES *npc)
5978: {
5979:   const char *optionsprefix;

5981:   PetscFunctionBegin;
5983:   PetscAssertPointer(npc, 2);
5984:   if (!snes->npc) {
5985:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5986:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5987:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5988:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5989:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5990:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5991:     PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_DEFAULT));

5993:     /* default to 1 iteration */
5994:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
5995:   }
5996:   *npc = snes->npc;
5997:   PetscFunctionReturn(PETSC_SUCCESS);
5998: }

6000: /*@
6001:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

6003:   Not Collective

6005:   Input Parameter:
6006: . snes - iterative context obtained from `SNESCreate()`

6008:   Output Parameter:
6009: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

6011:   Level: developer

6013: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
6014: @*/
6015: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
6016: {
6017:   PetscFunctionBegin;
6019:   PetscAssertPointer(has_npc, 2);
6020:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
6021:   PetscFunctionReturn(PETSC_SUCCESS);
6022: }

6024: /*@
6025:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

6027:   Logically Collective

6029:   Input Parameter:
6030: . snes - iterative context obtained from `SNESCreate()`

6032:   Output Parameter:
6033: . side - the preconditioning side, where side is one of
6034: .vb
6035:       PC_LEFT  - left preconditioning
6036:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
6037: .ve

6039:   Options Database Key:
6040: . -snes_npc_side (right|left) - nonlinear preconditioner side

6042:   Level: intermediate

6044:   Note:
6045:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

6047: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
6048: @*/
6049: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
6050: {
6051:   PetscFunctionBegin;
6054:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
6055:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
6056:   snes->npcside = side;
6057:   PetscFunctionReturn(PETSC_SUCCESS);
6058: }

6060: /*@
6061:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

6063:   Not Collective

6065:   Input Parameter:
6066: . snes - iterative context obtained from `SNESCreate()`

6068:   Output Parameter:
6069: . side - the preconditioning side, where side is one of
6070: .vb
6071:       `PC_LEFT` - left preconditioning
6072:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
6073: .ve

6075:   Level: intermediate

6077: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
6078: @*/
6079: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
6080: {
6081:   PetscFunctionBegin;
6083:   PetscAssertPointer(side, 2);
6084:   *side = snes->npcside;
6085:   PetscFunctionReturn(PETSC_SUCCESS);
6086: }

6088: /*@
6089:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

6091:   Collective

6093:   Input Parameters:
6094: + snes       - iterative context obtained from `SNESCreate()`
6095: - linesearch - the linesearch object

6097:   Level: developer

6099:   Note:
6100:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
6101:   to configure it using the API).

6103: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
6104: @*/
6105: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
6106: {
6107:   PetscFunctionBegin;
6110:   PetscCheckSameComm(snes, 1, linesearch, 2);
6111:   PetscCall(PetscObjectReference((PetscObject)linesearch));
6112:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

6114:   snes->linesearch = linesearch;
6115:   PetscFunctionReturn(PETSC_SUCCESS);
6116: }