Actual source code: snes.c

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

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

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

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

 19:   Logically Collective

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

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

 28:   Level: intermediate

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

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

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

 48:   Not Collective

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

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

 56:   Level: intermediate

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

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

 72:   Logically Collective

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

 78:   Level: advanced

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

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

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

 97:   Logically Collective

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

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

105:   Level: advanced

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

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

121:   Not Collective

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

126:   Level: advanced

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

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

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

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

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

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

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

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

160:   Not Collective

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

165:   Level: advanced

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

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

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

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

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

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

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

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

198:   Logically Collective

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

203:   Level: advanced

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

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

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

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

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

229:   Logically Collective

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

235:   Level: advanced

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

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

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

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

255:   Logically Collective

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

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

263:   Level: advanced

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

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

279:   Collective

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

286:   Level: intermediate

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

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

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

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

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

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

329:   Collective

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

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

339:   Level: intermediate

341:   Note:
342:   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,
343:   rather `PetscOptionsCreateViewer()` should be used to construct the viewer once which can then be utilized in the heavily used routine.

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

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

357: /*@
358:   SNESView - Prints or visualizes the `SNES` data structure.

360:   Collective

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

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

369:   Level: beginner

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

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

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

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

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

402:   PetscFunctionBegin;
404:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &viewer));
406:   PetscCheckSameComm(snes, 1, viewer, 2);

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

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

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

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

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

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

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

573: /*
574:   We retain a list of functions that also take SNES command
575:   line options. These are called at the end SNESSetFromOptions()
576: */
577: #define MAXSETFROMOPTIONS 5
578: static PetscInt numberofsetfromoptions;
579: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

581: /*@
582:   SNESAddOptionsChecker - Adds an additional function to check for `SNES` options.

584:   Not Collective

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

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

592:   Level: developer

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

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

609:   PetscFunctionBegin;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

746: /*@
747:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

749:   Collective

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

754:   Level: developer

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

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

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

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

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

817: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, PetscCtx);

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

827: /*@
828:   SNESMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user

830:   Collective

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

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

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

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

853:   Level: advanced

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

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

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

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

906: /*@
907:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

909:   Collective

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

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

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

959:   Level: beginner

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

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

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

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

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

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

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

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

1009:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, &flg));
1010:   if (flg) PetscCall(SNESSetDivergenceTolerance(snes, snes->divtol));

1012:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
1013:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1015:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1016:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1018:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1019:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1020:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1022:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1023:   if (flg) {
1024:     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");
1025:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1026:   }
1027:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1028:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1029:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1030:   if (flg) {
1031:     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");
1032:     PetscCall(SNESSetLagJacobian(snes, lag));
1033:   }
1034:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1035:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1037:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1038:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1040:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1041:   if (flg) {
1042:     switch (indx) {
1043:     case 0:
1044:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1045:       break;
1046:     case 1:
1047:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1048:       break;
1049:     case 2:
1050:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1051:       break;
1052:     }
1053:   }

1055:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1056:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1058:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1059:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1061:   kctx = (SNESKSPEW *)snes->kspconvctx;

1063:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1065:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1066:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1067:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1069:   flg = PETSC_FALSE;
1070:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1071:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1073:   PetscCall(PetscOptionsDeprecated("-snes_monitor_short", "-snes_monitor", "3.26", NULL));
1074:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1075:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1077:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1078:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1079:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1080:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1081:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1082:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1083:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1084:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1086:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1087:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1089:   flg = PETSC_FALSE;
1090:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1091:   if (flg) {
1092:     PetscViewer ctx;

1094:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1095:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1096:   }

1098:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1099:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1100:   flg = PETSC_FALSE;
1101:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1102:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1104:   flg = PETSC_FALSE;
1105:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1106:   if (flg) {
1107:     void *functx;
1108:     DM    dm;
1109:     PetscCall(SNESGetDM(snes, &dm));
1110:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1111:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1112:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1113:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1114:   }

1116:   flg = PETSC_FALSE;
1117:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1118:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1120:   flg = PETSC_FALSE;
1121:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1122:   if (flg) {
1123:     DM dm;
1124:     PetscCall(SNESGetDM(snes, &dm));
1125:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1126:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1127:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1128:   }

1130:   flg = PETSC_FALSE;
1131:   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));
1132:   if (flg && snes->mf_operator) {
1133:     snes->mf_operator = PETSC_TRUE;
1134:     snes->mf          = PETSC_TRUE;
1135:   }
1136:   flg = PETSC_FALSE;
1137:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no preconditioner by default", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1138:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1139:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1141:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1142:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1144:   flg = PETSC_FALSE;
1145:   PetscCall(SNESGetNPCSide(snes, &pcside));
1146:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1147:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1149: #if PetscDefined(HAVE_SAWS)
1150:   /*
1151:     Publish convergence information using SAWs
1152:   */
1153:   flg = PETSC_FALSE;
1154:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1155:   if (flg) {
1156:     PetscCtx ctx;
1157:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1158:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1159:   }
1160: #endif
1161: #if PetscDefined(HAVE_SAWS)
1162:   {
1163:     PetscBool set;
1164:     flg = PETSC_FALSE;
1165:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1166:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1167:   }
1168: #endif

1170:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1172:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1174:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1175:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1176:   PetscOptionsEnd();

1178:   if (snes->linesearch) {
1179:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1180:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1181:   }

1183:   /* if user has set the SNES NPC type via options database, create it. */
1184:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1185:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1186:   if (pcset && !snes->npc) PetscCall(SNESGetNPC(snes, &snes->npc));

1188:   if (snes->usesksp) {
1189:     PC     pc;
1190:     PCType pctype;

1192:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1193:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1194:     PetscCall(KSPGetPC(snes->ksp, &pc));
1195:     PetscCall(PCGetType(pc, &pctype));
1196:     /* If the first two conditions in the following conditional are true, we know a matrix-free Mat
1197:        will be used eventually with the PC, but we cannot provide the matrix-free Mat to the PC here
1198:        since we do not have enough information to construct it here (it is constructed after the
1199:        start of SNESSetUp()). If we do not set the PCNONE here, then the PCSetFromOptions() called
1200:        from KSPSetFromOptions() below will use PCGetDefaultType_Private() to set a PCType
1201:        appropriate for the current pc->pmat that will likely not work for the matrix-free Mat, thus
1202:        producing a later confusing error message. A significant refactoring of how SNES handles
1203:        matrix-free Mat would be needed to eliminate the next line of code. Note that if the PC type
1204:        has already been set (third condition), we do not override it. The fourth condition exempts
1205:        left-side nonlinear preconditioners, which require a real PC */
1206:     if (snes->mf && !snes->mf_operator && !pctype && !(snes->npcside == PC_LEFT && snes->npc)) {
1207:       PetscCall(PetscInfo(snes, "Setting PCNONE since no PC type was set and the Jacobian will be matrix-free\n"));
1208:       PetscCall(PCSetType(pc, PCNONE));
1209:     }
1210:     PetscCall(KSPSetFromOptions(snes->ksp));
1211:   }

1213:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1214:   snes->setfromoptionscalled++;
1215:   PetscFunctionReturn(PETSC_SUCCESS);
1216: }

1218: /*@
1219:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1221:   Collective

1223:   Input Parameter:
1224: . snes - the `SNES` context

1226:   Level: advanced

1228: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1229: @*/
1230: PetscErrorCode SNESResetFromOptions(SNES snes)
1231: {
1232:   PetscFunctionBegin;
1233:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1234:   PetscFunctionReturn(PETSC_SUCCESS);
1235: }

1237: /*@
1238:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1239:   the nonlinear solvers.

1241:   Logically Collective; No Fortran Support

1243:   Input Parameters:
1244: + snes    - the `SNES` context
1245: . compute - function to compute the context
1246: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1248:   Calling sequence of `compute`:
1249: + snes - the `SNES` context
1250: - ctx  - context to be computed

1252:   Level: intermediate

1254:   Note:
1255:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1257:   Use `SNESSetApplicationContext()` to see the context immediately

1259: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1260: @*/
1261: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1262: {
1263:   PetscFunctionBegin;
1265:   snes->ops->ctxcompute = compute;
1266:   snes->ops->ctxdestroy = destroy;
1267:   PetscFunctionReturn(PETSC_SUCCESS);
1268: }

1270: /*@
1271:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1273:   Logically Collective

1275:   Input Parameters:
1276: + snes - the `SNES` context
1277: - ctx  - the application context

1279:   Level: intermediate

1281:   Notes:
1282:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1283:   with `SNESGetApplicationContext()`

1285:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1287:   Fortran Note:
1288:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1289:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1290:   an example.

1292: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1293: @*/
1294: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1295: {
1296:   KSP ksp;

1298:   PetscFunctionBegin;
1300:   PetscCall(SNESGetKSP(snes, &ksp));
1301:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1302:   snes->ctx = ctx;
1303:   PetscFunctionReturn(PETSC_SUCCESS);
1304: }

1306: /*@
1307:   SNESGetApplicationContext - Gets the user-defined context for the
1308:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1310:   Not Collective

1312:   Input Parameter:
1313: . snes - `SNES` context

1315:   Output Parameter:
1316: . ctx - the application context

1318:   Level: intermediate

1320:   Fortran Notes:
1321:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1322: .vb
1323:   type(tUsertype), pointer :: ctx
1324: .ve

1326: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1327: @*/
1328: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1329: {
1330:   PetscFunctionBegin;
1332:   *(void **)ctx = snes->ctx;
1333:   PetscFunctionReturn(PETSC_SUCCESS);
1334: }

1336: /*@
1337:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1339:   Logically Collective

1341:   Input Parameters:
1342: + snes        - `SNES` context
1343: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1344: - 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
1345:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1347:   Options Database Keys:
1348: + -snes_mf_operator - use matrix-free only for the mat operator
1349: . -snes_mf          - use matrix-free for both the mat and pmat operator
1350: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1351: - -snes_fd          - compute the Jacobian via finite differences (slow)

1353:   Level: intermediate

1355:   Notes:
1356:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1357:   and computing explicitly with
1358:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1360:   When `mf` is used, `SNESSetFromOptions()` sets the `KSP`'s `PC` to `PCNONE` unless a `PC` type has already been selected.

1362: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1363: @*/
1364: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1365: {
1366:   PetscFunctionBegin;
1370:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1371:   snes->mf_operator = mf_operator;
1372:   PetscFunctionReturn(PETSC_SUCCESS);
1373: }

1375: /*@
1376:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1378:   Not Collective, but the resulting flags will be the same on all MPI processes

1380:   Input Parameter:
1381: . snes - `SNES` context

1383:   Output Parameters:
1384: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1385: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1387:   Level: intermediate

1389: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1390: @*/
1391: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1392: {
1393:   PetscFunctionBegin;
1395:   if (mf) *mf = snes->mf;
1396:   if (mf_operator) *mf_operator = snes->mf_operator;
1397:   PetscFunctionReturn(PETSC_SUCCESS);
1398: }

1400: /*@
1401:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1403:   Not Collective

1405:   Input Parameter:
1406: . snes - `SNES` context

1408:   Output Parameter:
1409: . iter - iteration number

1411:   Level: intermediate

1413:   Notes:
1414:   For example, during the computation of iteration 2 this would return 1.

1416:   This is useful for using lagged Jacobians (where one does not recompute the
1417:   Jacobian at each `SNES` iteration). For example, the code
1418: .vb
1419:       ierr = SNESGetIterationNumber(snes,&it);
1420:       if (!(it % 2)) {
1421:         [compute Jacobian here]
1422:       }
1423: .ve
1424:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1425:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1427:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1429: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1430: @*/
1431: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1432: {
1433:   PetscFunctionBegin;
1435:   PetscAssertPointer(iter, 2);
1436:   *iter = snes->iter;
1437:   PetscFunctionReturn(PETSC_SUCCESS);
1438: }

1440: /*@
1441:   SNESSetIterationNumber - Sets the current iteration number.

1443:   Not Collective

1445:   Input Parameters:
1446: + snes - `SNES` context
1447: - iter - iteration number

1449:   Level: developer

1451:   Note:
1452:   This should only be called inside a `SNES` nonlinear solver.

1454: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1455: @*/
1456: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1457: {
1458:   PetscFunctionBegin;
1460:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1461:   snes->iter = iter;
1462:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1463:   PetscFunctionReturn(PETSC_SUCCESS);
1464: }

1466: /*@
1467:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1468:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1470:   Not Collective

1472:   Input Parameter:
1473: . snes - `SNES` context

1475:   Output Parameter:
1476: . nfails - number of unsuccessful steps attempted

1478:   Level: intermediate

1480:   Notes:
1481:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1482:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1484:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1485:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1487:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1489:   This counter is reset to zero for each successive call to `SNESSolve()`.

1491: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1492:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1493: @*/
1494: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1495: {
1496:   PetscFunctionBegin;
1498:   PetscAssertPointer(nfails, 2);
1499:   *nfails = snes->numFailures;
1500:   PetscFunctionReturn(PETSC_SUCCESS);
1501: }

1503: /*@
1504:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1505:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1507:   Not Collective

1509:   Input Parameters:
1510: + snes     - `SNES` context
1511: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1513:   Options Database Key:
1514: . -snes_max_fail n - maximum number of unsuccessful steps allowed

1516:   Level: intermediate

1518:   Note:
1519:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1520:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1522:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1523:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1525:   Developer Note:
1526:   The options database key is wrong for this function name

1528: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1529:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1530: @*/
1531: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1532: {
1533:   PetscFunctionBegin;

1536:   if (maxFails == PETSC_UNLIMITED) {
1537:     snes->maxFailures = PETSC_INT_MAX;
1538:   } else {
1539:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1540:     snes->maxFailures = maxFails;
1541:   }
1542:   PetscFunctionReturn(PETSC_SUCCESS);
1543: }

1545: /*@
1546:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1547:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1549:   Not Collective

1551:   Input Parameter:
1552: . snes - `SNES` context

1554:   Output Parameter:
1555: . maxFails - maximum of unsuccessful steps

1557:   Level: intermediate

1559: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1560:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1561: @*/
1562: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1563: {
1564:   PetscFunctionBegin;
1566:   PetscAssertPointer(maxFails, 2);
1567:   *maxFails = snes->maxFailures;
1568:   PetscFunctionReturn(PETSC_SUCCESS);
1569: }

1571: /*@
1572:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1573:   done by the `SNES` object in the current or most recent `SNESSolve()`

1575:   Not Collective

1577:   Input Parameter:
1578: . snes - `SNES` context

1580:   Output Parameter:
1581: . nfuncs - number of evaluations

1583:   Level: intermediate

1585:   Note:
1586:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1588: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1589: @*/
1590: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1591: {
1592:   PetscFunctionBegin;
1594:   PetscAssertPointer(nfuncs, 2);
1595:   *nfuncs = snes->nfuncs;
1596:   PetscFunctionReturn(PETSC_SUCCESS);
1597: }

1599: /*@
1600:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1601:   linear solvers in the current or most recent `SNESSolve()`

1603:   Not Collective

1605:   Input Parameter:
1606: . snes - `SNES` context

1608:   Output Parameter:
1609: . nfails - number of failed solves

1611:   Options Database Key:
1612: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1614:   Level: intermediate

1616:   Note:
1617:   This counter is reset to zero for each successive call to `SNESSolve()`.

1619: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1620: @*/
1621: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1622: {
1623:   PetscFunctionBegin;
1625:   PetscAssertPointer(nfails, 2);
1626:   *nfails = snes->numLinearSolveFailures;
1627:   PetscFunctionReturn(PETSC_SUCCESS);
1628: }

1630: /*@
1631:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1632:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1634:   Logically Collective

1636:   Input Parameters:
1637: + snes     - `SNES` context
1638: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1640:   Options Database Key:
1641: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1643:   Level: intermediate

1645:   Note:
1646:   By default this is 0; that is `SNES` returns on the first failed linear solve

1648:   Developer Note:
1649:   The options database key is wrong for this function name

1651: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1652: @*/
1653: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1654: {
1655:   PetscFunctionBegin;

1659:   if (maxFails == PETSC_UNLIMITED) {
1660:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1661:   } else {
1662:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1663:     snes->maxLinearSolveFailures = maxFails;
1664:   }
1665:   PetscFunctionReturn(PETSC_SUCCESS);
1666: }

1668: /*@
1669:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1670:   are allowed before `SNES` returns as unsuccessful

1672:   Not Collective

1674:   Input Parameter:
1675: . snes - `SNES` context

1677:   Output Parameter:
1678: . maxFails - maximum of unsuccessful solves allowed

1680:   Level: intermediate

1682:   Note:
1683:   By default this is 1; that is `SNES` returns on the first failed linear solve

1685: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1686: @*/
1687: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1688: {
1689:   PetscFunctionBegin;
1691:   PetscAssertPointer(maxFails, 2);
1692:   *maxFails = snes->maxLinearSolveFailures;
1693:   PetscFunctionReturn(PETSC_SUCCESS);
1694: }

1696: /*@
1697:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1698:   used by the nonlinear solver in the most recent `SNESSolve()`

1700:   Not Collective

1702:   Input Parameter:
1703: . snes - `SNES` context

1705:   Output Parameter:
1706: . lits - number of linear iterations

1708:   Level: intermediate

1710:   Notes:
1711:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1713:   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
1714:   then call `KSPGetIterationNumber()` after the failed solve.

1716: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1717: @*/
1718: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1719: {
1720:   PetscFunctionBegin;
1722:   PetscAssertPointer(lits, 2);
1723:   *lits = snes->linear_its;
1724:   PetscFunctionReturn(PETSC_SUCCESS);
1725: }

1727: /*@
1728:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1729:   are reset every time `SNESSolve()` is called.

1731:   Logically Collective

1733:   Input Parameters:
1734: + snes  - `SNES` context
1735: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1737:   Level: developer

1739: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1740: @*/
1741: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1742: {
1743:   PetscFunctionBegin;
1746:   snes->counters_reset = reset;
1747:   PetscFunctionReturn(PETSC_SUCCESS);
1748: }

1750: /*@
1751:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1753:   Logically Collective

1755:   Input Parameters:
1756: . snes - `SNES` context

1758:   Level: developer

1760:   Note:
1761:   It honors the flag set with `SNESSetCountersReset()`

1763: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1764: @*/
1765: PetscErrorCode SNESResetCounters(SNES snes)
1766: {
1767:   PetscFunctionBegin;
1769:   if (snes->counters_reset) {
1770:     snes->nfuncs      = 0;
1771:     snes->linear_its  = 0;
1772:     snes->numFailures = 0;
1773:   }
1774:   PetscFunctionReturn(PETSC_SUCCESS);
1775: }

1777: /*@
1778:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1780:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1782:   Input Parameters:
1783: + snes - the `SNES` context
1784: - ksp  - the `KSP` context

1786:   Level: developer

1788:   Notes:
1789:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1790:   so this routine is rarely needed.

1792:   The `KSP` object that is already in the `SNES` object has its reference count
1793:   decreased by one when this is called.

1795: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1796: @*/
1797: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1798: {
1799:   PetscFunctionBegin;
1802:   PetscCheckSameComm(snes, 1, ksp, 2);
1803:   PetscCall(PetscObjectReference((PetscObject)ksp));
1804:   PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1805:   snes->ksp = ksp;
1806:   PetscFunctionReturn(PETSC_SUCCESS);
1807: }

1809: /*@
1810:   SNESParametersInitialize - Sets the base defaults for parameters in `snes`, updating a parameter's current value when it matches its previously recorded default.

1812:   Logically collective

1814:   Input Parameter:
1815: . snes - the `SNES` object

1817:   Level: developer

1819:   Notes:

1821:   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.

1823:   Developer Notes:

1825:   `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.

1827:   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.

1829: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1830:           `PetscObjectParameterSetDefault()`
1831: @*/
1832: PetscErrorCode SNESParametersInitialize(SNES snes)
1833: {
1834:   PetscObjectParameterSetDefault(snes, max_its, 50);
1835:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1836:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1837:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1838:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1839:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1840:   return PETSC_SUCCESS;
1841: }

1843: /*@
1844:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1846:   Collective

1848:   Input Parameter:
1849: . comm - MPI communicator

1851:   Output Parameter:
1852: . outsnes - the new `SNES` context

1854:   Options Database Keys:
1855: + -snes_mf          - Activates default matrix-free Jacobian-vector products, with no preconditioner by default
1856: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1857: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1858: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1860:   Level: beginner

1862:   Developer Notes:
1863:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1864:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1865:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1866:   in `SNESView()`.

1868:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1869:   by help messages about meaningless `SNES` options.

1871:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1873: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1874: @*/
1875: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1876: {
1877:   SNES       snes;
1878:   SNESKSPEW *kctx;

1880:   PetscFunctionBegin;
1881:   PetscAssertPointer(outsnes, 2);
1882:   PetscCall(SNESInitializePackage());

1884:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1885:   snes->ops->converged = SNESConvergedDefault;
1886:   snes->usesksp        = PETSC_TRUE;
1887:   snes->norm           = 0.0;
1888:   snes->xnorm          = 0.0;
1889:   snes->ynorm          = 0.0;
1890:   snes->normschedule   = SNES_NORM_ALWAYS;
1891:   snes->functype       = SNES_FUNCTION_DEFAULT;
1892:   snes->ttol           = 0.0;

1894:   snes->rnorm0               = 0;
1895:   snes->nfuncs               = 0;
1896:   snes->numFailures          = 0;
1897:   snes->maxFailures          = 1;
1898:   snes->linear_its           = 0;
1899:   snes->lagjacobian          = 1;
1900:   snes->jac_iter             = 0;
1901:   snes->lagjac_persist       = PETSC_FALSE;
1902:   snes->lagpreconditioner    = 1;
1903:   snes->pre_iter             = 0;
1904:   snes->lagpre_persist       = PETSC_FALSE;
1905:   snes->numbermonitors       = 0;
1906:   snes->numberreasonviews    = 0;
1907:   snes->data                 = NULL;
1908:   snes->setupcalled          = PETSC_FALSE;
1909:   snes->ksp_ewconv           = PETSC_FALSE;
1910:   snes->nwork                = 0;
1911:   snes->work                 = NULL;
1912:   snes->nvwork               = 0;
1913:   snes->vwork                = NULL;
1914:   snes->conv_hist_len        = 0;
1915:   snes->conv_hist_max        = 0;
1916:   snes->conv_hist            = NULL;
1917:   snes->conv_hist_its        = NULL;
1918:   snes->conv_hist_reset      = PETSC_TRUE;
1919:   snes->counters_reset       = PETSC_TRUE;
1920:   snes->vec_func_init_set    = PETSC_FALSE;
1921:   snes->reason               = SNES_CONVERGED_ITERATING;
1922:   snes->npcside              = PC_RIGHT;
1923:   snes->setfromoptionscalled = 0;

1925:   snes->mf          = PETSC_FALSE;
1926:   snes->mf_operator = PETSC_FALSE;
1927:   snes->mf_version  = 1;

1929:   snes->numLinearSolveFailures = 0;
1930:   snes->maxLinearSolveFailures = 1;

1932:   snes->vizerotolerance     = 1.e-8;
1933:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1935:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1936:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1938:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1939:   PetscCall(PetscNew(&kctx));

1941:   snes->kspconvctx  = kctx;
1942:   kctx->version     = 2;
1943:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1944:                              this was too large for some test cases */
1945:   kctx->rtol_last   = 0.0;
1946:   kctx->rtol_max    = 0.9;
1947:   kctx->gamma       = 1.0;
1948:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1949:   kctx->alpha2      = kctx->alpha;
1950:   kctx->threshold   = 0.1;
1951:   kctx->lresid_last = 0.0;
1952:   kctx->norm_last   = 0.0;

1954:   kctx->rk_last     = 0.0;
1955:   kctx->rk_last_2   = 0.0;
1956:   kctx->rtol_last_2 = 0.0;
1957:   kctx->v4_p1       = 0.1;
1958:   kctx->v4_p2       = 0.4;
1959:   kctx->v4_p3       = 0.7;
1960:   kctx->v4_m1       = 0.8;
1961:   kctx->v4_m2       = 0.5;
1962:   kctx->v4_m3       = 0.1;
1963:   kctx->v4_m4       = 0.5;

1965:   PetscCall(SNESParametersInitialize(snes));
1966:   *outsnes = snes;
1967:   PetscFunctionReturn(PETSC_SUCCESS);
1968: }

1970: /*@
1971:   SNESSetFunction - Sets the function evaluation routine and function
1972:   vector for use by the `SNES` routines in solving systems of nonlinear
1973:   equations.

1975:   Logically Collective

1977:   Input Parameters:
1978: + snes - the `SNES` context
1979: . r    - vector to store function values, may be `NULL`
1980: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1981: - ctx  - [optional] user-defined context for private data for the
1982:          function evaluation routine (may be `NULL`)

1984:   Level: beginner

1986: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1987: @*/
1988: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1989: {
1990:   DM dm;

1992:   PetscFunctionBegin;
1994:   if (r) {
1996:     PetscCheckSameComm(snes, 1, r, 2);
1997:     PetscCall(PetscObjectReference((PetscObject)r));
1998:     PetscCall(VecDestroy(&snes->vec_func));
1999:     snes->vec_func = r;
2000:   }
2001:   /* update DMSNES
2002:      We support incremental information; so update the function context only if r is not specified
2003:      (which allows to disable the callbacks when both f and ctx are NULL),
2004:      or, if r is specified, when at least one of f and ctx is not NULL */
2005:   PetscCall(SNESGetDM(snes, &dm));
2006:   if (!r || f || ctx) PetscCall(DMSNESSetFunction(dm, f, ctx));
2007:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2008:   PetscFunctionReturn(PETSC_SUCCESS);
2009: }

2011: /*@
2012:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

2014:   Logically Collective

2016:   Input Parameters:
2017: + snes - the `SNES` context
2018: - f    - vector to store function value

2020:   Level: developer

2022:   Notes:
2023:   This should not be modified during the solution procedure.

2025:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

2027: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
2028: @*/
2029: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
2030: {
2031:   Vec vec_func;

2033:   PetscFunctionBegin;
2036:   PetscCheckSameComm(snes, 1, f, 2);
2037:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
2038:     snes->vec_func_init_set = PETSC_FALSE;
2039:     PetscFunctionReturn(PETSC_SUCCESS);
2040:   }
2041:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
2042:   PetscCall(VecCopy(f, vec_func));

2044:   snes->vec_func_init_set = PETSC_TRUE;
2045:   PetscFunctionReturn(PETSC_SUCCESS);
2046: }

2048: /*@
2049:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2050:   of the `SNES` method, when norms are computed in the solving process

2052:   Logically Collective

2054:   Input Parameters:
2055: + snes         - the `SNES` context
2056: - normschedule - the frequency of norm computation

2058:   Options Database Key:
2059: . -snes_norm_schedule (none|always|initialonly|finalonly|initialfinalonly) - set the schedule

2061:   Level: advanced

2063:   Notes:
2064:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2065:   of the nonlinear function and the taking of its norm at every iteration to
2066:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2067:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2068:   may either be monitored for convergence or not.  As these are often used as nonlinear
2069:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2070:   their solution.

2072: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2073: @*/
2074: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2075: {
2076:   PetscFunctionBegin;
2079:   snes->normschedule = normschedule;
2080:   PetscFunctionReturn(PETSC_SUCCESS);
2081: }

2083: /*@
2084:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2085:   of the `SNES` method.

2087:   Logically Collective

2089:   Input Parameters:
2090: + snes         - the `SNES` context
2091: - normschedule - the type of the norm used

2093:   Level: advanced

2095: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2096: @*/
2097: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2098: {
2099:   PetscFunctionBegin;
2101:   *normschedule = snes->normschedule;
2102:   PetscFunctionReturn(PETSC_SUCCESS);
2103: }

2105: /*@
2106:   SNESSetFunctionNorm - Sets the last computed residual norm.

2108:   Logically Collective

2110:   Input Parameters:
2111: + snes - the `SNES` context
2112: - norm - the value of the norm

2114:   Level: developer

2116: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2117: @*/
2118: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2119: {
2120:   PetscFunctionBegin;
2122:   snes->norm = norm;
2123:   PetscFunctionReturn(PETSC_SUCCESS);
2124: }

2126: /*@
2127:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2129:   Not Collective

2131:   Input Parameter:
2132: . snes - the `SNES` context

2134:   Output Parameter:
2135: . norm - the last computed residual norm

2137:   Level: developer

2139: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2140: @*/
2141: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2142: {
2143:   PetscFunctionBegin;
2145:   PetscAssertPointer(norm, 2);
2146:   *norm = snes->norm;
2147:   PetscFunctionReturn(PETSC_SUCCESS);
2148: }

2150: /*@
2151:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2153:   Not Collective

2155:   Input Parameter:
2156: . snes - the `SNES` context

2158:   Output Parameter:
2159: . ynorm - the last computed update norm

2161:   Level: developer

2163:   Note:
2164:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2166: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2167: @*/
2168: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2169: {
2170:   PetscFunctionBegin;
2172:   PetscAssertPointer(ynorm, 2);
2173:   *ynorm = snes->ynorm;
2174:   PetscFunctionReturn(PETSC_SUCCESS);
2175: }

2177: /*@
2178:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2180:   Not Collective

2182:   Input Parameter:
2183: . snes - the `SNES` context

2185:   Output Parameter:
2186: . xnorm - the last computed solution norm

2188:   Level: developer

2190: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2191: @*/
2192: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2193: {
2194:   PetscFunctionBegin;
2196:   PetscAssertPointer(xnorm, 2);
2197:   *xnorm = snes->xnorm;
2198:   PetscFunctionReturn(PETSC_SUCCESS);
2199: }

2201: /*@
2202:   SNESSetFunctionType - Sets the `SNESFunctionType`
2203:   of the `SNES` method.

2205:   Logically Collective

2207:   Input Parameters:
2208: + snes - the `SNES` context
2209: - type - the function type

2211:   Level: developer

2213:   Values of the function type\:
2214: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2215: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2216: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2218:   Note:
2219:   Different `SNESType`s use this value in different ways

2221: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2222: @*/
2223: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2224: {
2225:   PetscFunctionBegin;
2227:   snes->functype = type;
2228:   PetscFunctionReturn(PETSC_SUCCESS);
2229: }

2231: /*@
2232:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2233:   of the SNES method.

2235:   Logically Collective

2237:   Input Parameters:
2238: + snes - the `SNES` context
2239: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2241:   Level: advanced

2243: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2244: @*/
2245: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2246: {
2247:   PetscFunctionBegin;
2249:   *type = snes->functype;
2250:   PetscFunctionReturn(PETSC_SUCCESS);
2251: }

2253: /*@
2254:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2255:   use with composed nonlinear solvers.

2257:   Input Parameters:
2258: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2259: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2260: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2262:   Level: intermediate

2264:   Note:
2265:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2266:   a problem appropriate update to the solution, particularly `SNESFAS`.

2268: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2269: @*/
2270: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2271: {
2272:   DM dm;

2274:   PetscFunctionBegin;
2276:   PetscCall(SNESGetDM(snes, &dm));
2277:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2278:   PetscFunctionReturn(PETSC_SUCCESS);
2279: }

2281: /*@
2282:   SNESPicardComputeMFFunction - Matrix-free residual $A(x) x - b(x)$ used by `SNESSetPicard()` when the operator is applied through `-snes_mf_operator`

2284:   Collective

2286:   Input Parameters:
2287: + snes - the `SNES` context
2288: . x    - the current iterate
2289: - ctx  - unused application context; the Picard callbacks are retrieved from the attached `DMSNES`

2291:   Output Parameter:
2292: . f - the residual vector

2294:   Level: developer

2296:   Note:
2297:   Uses a duplicate of `snes->jacobian_pre` because `snes->jacobian_pre` cannot be changed during the `KSPSolve()`.

2299: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeJacobian()`
2300: @*/
2301: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2302: {
2303:   DM     dm;
2304:   DMSNES sdm;

2306:   PetscFunctionBegin;
2307:   PetscCall(SNESGetDM(snes, &dm));
2308:   PetscCall(DMGetDMSNES(dm, &sdm));
2309:   /*  A(x)*x - b(x) */
2310:   if (sdm->ops->computepfunction) {
2311:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2312:     PetscCall(VecScale(f, -1.0));
2313:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2314:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2315:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2316:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2317:   } else {
2318:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2319:     PetscCall(MatMult(snes->picard, x, f));
2320:   }
2321:   PetscFunctionReturn(PETSC_SUCCESS);
2322: }

2324: /*@
2325:   SNESPicardComputeFunction - Compute the residual $A(x) x - b(x)$ using the callbacks registered by `SNESSetPicard()`

2327:   Collective

2329:   Input Parameters:
2330: + snes - the `SNES` context
2331: . x    - the current iterate
2332: - ctx  - unused application context; the Picard callbacks are retrieved from the attached `DMSNES`

2334:   Output Parameter:
2335: . f - the residual vector

2337:   Level: developer

2339: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeMFFunction()`, `SNESPicardComputeJacobian()`
2340: @*/
2341: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2342: {
2343:   DM     dm;
2344:   DMSNES sdm;

2346:   PetscFunctionBegin;
2347:   PetscCall(SNESGetDM(snes, &dm));
2348:   PetscCall(DMGetDMSNES(dm, &sdm));
2349:   /*  A(x)*x - b(x) */
2350:   if (sdm->ops->computepfunction) {
2351:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2352:     PetscCall(VecScale(f, -1.0));
2353:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2354:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2355:   } else {
2356:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2357:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2358:   }
2359:   PetscFunctionReturn(PETSC_SUCCESS);
2360: }

2362: /*@
2363:   SNESPicardComputeJacobian - Trivial Jacobian assembly callback used by `SNESSetPicard()`; the Picard operator is filled in by `SNESPicardComputeFunction()`

2365:   Collective

2367:   Input Parameters:
2368: + snes - the `SNES` context
2369: . x1   - the current iterate (unused)
2370: . J    - the Jacobian matrix to assemble
2371: . B    - the preconditioning matrix (unused)
2372: - ctx  - unused application context

2374:   Level: developer

2376:   Note:
2377:   Only calls `MatAssemblyBegin()`/`MatAssemblyEnd()` on `J`, because the Picard iteration reuses the operator already assembled by `SNESPicardComputeFunction()`.

2379: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeMFFunction()`
2380: @*/
2381: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2382: {
2383:   PetscFunctionBegin;
2384:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2385:   /* must assembly if matrix-free to get the last SNES solution */
2386:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2387:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2388:   PetscFunctionReturn(PETSC_SUCCESS);
2389: }

2391: /*@
2392:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2394:   Logically Collective

2396:   Input Parameters:
2397: + snes - the `SNES` context
2398: . r    - vector to store function values, may be `NULL`
2399: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2400: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2401: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2402: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2403: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2405:   Level: intermediate

2407:   Notes:
2408:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2409:   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.

2411:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2413:   Solves the equation $A(x) x = bp(x) + b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2414:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2416:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2418:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2419:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2421:   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
2422:   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
2423:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2425:   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
2426:   $A(x^{n})$ is used to build the preconditioner

2428:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2430:   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
2431:   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
2432:   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`.
2433:   See the comment in src/snes/tutorials/ex15.c.

2435: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2436:           `SNESFunctionFn`, `SNESJacobianFn`
2437: @*/
2438: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2439: {
2440:   DM dm;

2442:   PetscFunctionBegin;
2444:   PetscCall(SNESGetDM(snes, &dm));
2445:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2446:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2447:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2448:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2449:   PetscFunctionReturn(PETSC_SUCCESS);
2450: }

2452: /*@
2453:   SNESGetPicard - Returns the context for the Picard iteration

2455:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2457:   Input Parameter:
2458: . snes - the `SNES` context

2460:   Output Parameters:
2461: + r    - the function (or `NULL`)
2462: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2463: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2464: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2465: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2466: - ctx  - the function context (or `NULL`)

2468:   Level: advanced

2470: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2471: @*/
2472: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2473: {
2474:   DM dm;

2476:   PetscFunctionBegin;
2478:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2479:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2480:   PetscCall(SNESGetDM(snes, &dm));
2481:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2482:   PetscFunctionReturn(PETSC_SUCCESS);
2483: }

2485: /*@
2486:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2488:   Logically Collective

2490:   Input Parameters:
2491: + snes - the `SNES` context
2492: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2493: - ctx  - [optional] user-defined context for private data for the
2494:          function evaluation routine (may be `NULL`)

2496:   Level: intermediate

2498: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2499: @*/
2500: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2501: {
2502:   PetscFunctionBegin;
2504:   if (func) snes->ops->computeinitialguess = func;
2505:   if (ctx) snes->initialguessP = ctx;
2506:   PetscFunctionReturn(PETSC_SUCCESS);
2507: }

2509: /*@
2510:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2511:   it assumes a zero right-hand side.

2513:   Logically Collective

2515:   Input Parameter:
2516: . snes - the `SNES` context

2518:   Output Parameter:
2519: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2521:   Level: intermediate

2523: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2524: @*/
2525: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2526: {
2527:   PetscFunctionBegin;
2529:   PetscAssertPointer(rhs, 2);
2530:   *rhs = snes->vec_rhs;
2531:   PetscFunctionReturn(PETSC_SUCCESS);
2532: }

2534: /*@
2535:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2537:   Collective

2539:   Input Parameters:
2540: + snes - the `SNES` context
2541: - x    - input vector

2543:   Output Parameter:
2544: . f - function vector, as set by `SNESSetFunction()`

2546:   Level: developer

2548:   Notes:
2549:   `SNESComputeFunction()` is typically used within nonlinear solvers
2550:   implementations, so users would not generally call this routine themselves.

2552:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2554:   This function usually appears in the pattern.
2555: .vb
2556:   SNESComputeFunction(snes, x, f);
2557:   VecNorm(f, &fnorm);
2558:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2559: .ve
2560:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2562: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2563: @*/
2564: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2565: {
2566:   DM     dm;
2567:   DMSNES sdm;

2569:   PetscFunctionBegin;
2573:   PetscCheckSameComm(snes, 1, x, 2);
2574:   PetscCheckSameComm(snes, 1, f, 3);
2575:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2577:   PetscCall(SNESGetDM(snes, &dm));
2578:   PetscCall(DMGetDMSNES(dm, &sdm));
2579:   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().");
2580:   if (sdm->ops->computefunction) {
2581:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2582:     PetscCall(VecLockReadPush(x));
2583:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2584:     snes->functiondomainerror = PETSC_FALSE;
2585:     {
2586:       void           *ctx;
2587:       SNESFunctionFn *computefunction;
2588:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2589:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2590:     }
2591:     PetscCall(VecLockReadPop(x));
2592:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2593:   } else /* if (snes->vec_rhs) */ {
2594:     PetscCall(MatMult(snes->jacobian, x, f));
2595:   }
2596:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2597:   snes->nfuncs++;
2598:   /*
2599:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2600:      propagate the value to all processes
2601:   */
2602:   PetscCall(VecFlag(f, snes->functiondomainerror));
2603:   PetscFunctionReturn(PETSC_SUCCESS);
2604: }

2606: /*@
2607:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2609:   Collective

2611:   Input Parameters:
2612: + snes - the `SNES` context
2613: - x    - input vector

2615:   Output Parameter:
2616: . y - output vector

2618:   Level: developer

2620:   Notes:
2621:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2622:   so users would not generally call this routine themselves.

2624:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2625:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2626:   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.

2628: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2629: @*/
2630: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2631: {
2632:   DM     dm;
2633:   DMSNES sdm;

2635:   PetscFunctionBegin;
2639:   PetscCheckSameComm(snes, 1, x, 2);
2640:   PetscCheckSameComm(snes, 1, y, 3);
2641:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2643:   PetscCall(SNESGetDM(snes, &dm));
2644:   PetscCall(DMGetDMSNES(dm, &sdm));
2645:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2646:   PetscCall(VecLockReadPush(x));
2647:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2648:   snes->functiondomainerror = PETSC_FALSE;
2649:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2650:   PetscCall(VecLockReadPop(x));
2651:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2652:   snes->nfuncs++;
2653:   /*
2654:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2655:      propagate the value to all processes
2656:   */
2657:   PetscCall(VecFlag(y, snes->functiondomainerror));
2658:   PetscFunctionReturn(PETSC_SUCCESS);
2659: }

2661: /*@
2662:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2664:   Collective

2666:   Input Parameters:
2667: + snes - the `SNES` context
2668: . x    - input vector
2669: - b    - rhs vector

2671:   Output Parameter:
2672: . x - new solution vector

2674:   Level: developer

2676:   Note:
2677:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2678:   implementations, so most users would not generally call this routine
2679:   themselves.

2681: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2682: @*/
2683: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2684: {
2685:   DM     dm;
2686:   DMSNES sdm;

2688:   PetscFunctionBegin;
2692:   PetscCheckSameComm(snes, 1, x, 3);
2693:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2694:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2695:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2696:   PetscCall(SNESGetDM(snes, &dm));
2697:   PetscCall(DMGetDMSNES(dm, &sdm));
2698:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2699:   if (b) PetscCall(VecLockReadPush(b));
2700:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2701:   if (b) PetscCall(VecLockReadPop(b));
2702:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2703:   PetscFunctionReturn(PETSC_SUCCESS);
2704: }

2706: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2707: {
2708:   Vec          X;
2709:   PetscScalar *g;
2710:   PetscReal    f, f2;
2711:   PetscInt     low, high, N, i;
2712:   PetscBool    flg;
2713:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2715:   PetscFunctionBegin;
2716:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2717:   PetscCall(VecDuplicate(Xin, &X));
2718:   PetscCall(VecCopy(Xin, X));
2719:   PetscCall(VecGetSize(X, &N));
2720:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2721:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2722:   PetscCall(VecGetArray(G, &g));
2723:   for (i = 0; i < N; i++) {
2724:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2725:     PetscCall(VecAssemblyBegin(X));
2726:     PetscCall(VecAssemblyEnd(X));
2727:     PetscCall(SNESComputeObjective(snes, X, &f));
2728:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2729:     PetscCall(VecAssemblyBegin(X));
2730:     PetscCall(VecAssemblyEnd(X));
2731:     PetscCall(SNESComputeObjective(snes, X, &f2));
2732:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2733:     PetscCall(VecAssemblyBegin(X));
2734:     PetscCall(VecAssemblyEnd(X));
2735:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2736:   }
2737:   PetscCall(VecRestoreArray(G, &g));
2738:   PetscCall(VecDestroy(&X));
2739:   PetscFunctionReturn(PETSC_SUCCESS);
2740: }

2742: /*@
2743:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2745:   Collective

2747:   Input Parameter:
2748: . snes - the `SNES` context

2750:   Options Database Keys:
2751: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2752: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2754:   Level: developer

2756: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2757: @*/
2758: PetscErrorCode SNESTestFunction(SNES snes)
2759: {
2760:   Vec               x, g1, g2, g3;
2761:   PetscBool         complete_print = PETSC_FALSE;
2762:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2763:   PetscScalar       dot;
2764:   MPI_Comm          comm;
2765:   PetscViewer       viewer, mviewer;
2766:   PetscViewerFormat format;
2767:   PetscInt          tabs;
2768:   static PetscBool  directionsprinted = PETSC_FALSE;
2769:   SNESObjectiveFn  *objective;

2771:   PetscFunctionBegin;
2772:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2773:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2775:   PetscObjectOptionsBegin((PetscObject)snes);
2776:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2777:   PetscOptionsEnd();

2779:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2780:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2781:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2782:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2783:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2784:   if (!complete_print && !directionsprinted) {
2785:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2786:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2787:   }
2788:   if (!directionsprinted) {
2789:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2790:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2791:     directionsprinted = PETSC_TRUE;
2792:   }
2793:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2795:   PetscCall(SNESGetSolution(snes, &x));
2796:   PetscCall(VecDuplicate(x, &g1));
2797:   PetscCall(VecDuplicate(x, &g2));
2798:   PetscCall(VecDuplicate(x, &g3));
2799:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() correctly */
2800:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2802:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2803:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2804:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2805:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2806:   PetscCall(VecDot(g1, g2, &dot));
2807:   PetscCall(VecCopy(g1, g3));
2808:   PetscCall(VecAXPY(g3, -1.0, g2));
2809:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2810:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2811:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2812:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2813:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2815:   if (complete_print) {
2816:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2817:     PetscCall(VecView(g1, mviewer));
2818:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2819:     PetscCall(VecView(g2, mviewer));
2820:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2821:     PetscCall(VecView(g3, mviewer));
2822:   }
2823:   PetscCall(VecDestroy(&g1));
2824:   PetscCall(VecDestroy(&g2));
2825:   PetscCall(VecDestroy(&g3));

2827:   if (complete_print) {
2828:     PetscCall(PetscViewerPopFormat(mviewer));
2829:     PetscCall(PetscViewerDestroy(&mviewer));
2830:   }
2831:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2832:   PetscFunctionReturn(PETSC_SUCCESS);
2833: }

2835: /*@
2836:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2838:   Collective

2840:   Input Parameter:
2841: . snes - the `SNES` context

2843:   Output Parameters:
2844: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2845: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2847:   Options Database Keys:
2848: + -snes_test_jacobian [threshold]               - compare the user provided Jacobian with one compute via finite differences to check for errors.
2849:                                                   If a threshold is given, display only those entries whose difference is greater than the threshold.
2850: - -snes_test_jacobian_view viewer_specification - display the user provided Jacobian, the finite difference Jacobian and the difference, see `PetscOptionsCreateViewer()` for the
2851:                                                   format of `viewer_specification`

2853:   Level: developer

2855:   Note:
2856:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2858: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2859: @*/
2860: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2861: {
2862:   Mat               A, B, C, D, jacobian;
2863:   Vec               x = snes->vec_sol, f;
2864:   PetscReal         nrm, gnorm;
2865:   PetscReal         threshold = 1.e-5;
2866:   void             *functx;
2867:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2868:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2869:   PetscViewer       viewer, mviewer;
2870:   MPI_Comm          comm;
2871:   PetscInt          tabs;
2872:   static PetscBool  directionsprinted = PETSC_FALSE;
2873:   PetscViewerFormat format;

2875:   PetscFunctionBegin;
2876:   PetscObjectOptionsBegin((PetscObject)snes);
2877:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2878:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2879:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2880:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2881:   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));
2882:   PetscOptionsEnd();

2884:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2885:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2886:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2887:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2888:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2889:   if (!complete_print && !silent && !directionsprinted) {
2890:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2891:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2892:   }
2893:   if (!directionsprinted && !silent) {
2894:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2895:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2896:     directionsprinted = PETSC_TRUE;
2897:   }
2898:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2900:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2901:   if (!flg) jacobian = snes->jacobian;
2902:   else jacobian = snes->jacobian_pre;

2904:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2905:   else PetscCall(PetscObjectReference((PetscObject)x));
2906:   PetscCall(VecDuplicate(x, &f));

2908:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2909:   PetscCall(SNESComputeFunction(snes, x, f));
2910:   PetscCall(VecDestroy(&f));
2911:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2912:   while (jacobian) {
2913:     Mat JT = NULL, Jsave = NULL;

2915:     if (istranspose) {
2916:       PetscCall(MatCreateTranspose(jacobian, &JT));
2917:       Jsave    = jacobian;
2918:       jacobian = JT;
2919:     }
2920:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2921:     if (flg) {
2922:       A = jacobian;
2923:       PetscCall(PetscObjectReference((PetscObject)A));
2924:     } else {
2925:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2926:     }

2928:     PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &B));
2929:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2931:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2932:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2934:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2935:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2936:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2937:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2938:     PetscCall(MatDestroy(&D));
2939:     if (!gnorm) gnorm = 1; /* just in case */
2940:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2941:     if (complete_print) {
2942:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2943:       PetscCall(MatView(A, mviewer));
2944:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2945:       PetscCall(MatView(B, mviewer));
2946:     }

2948:     if (threshold_print || complete_print) {
2949:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2950:       PetscScalar       *cvals;
2951:       const PetscInt    *bcols;
2952:       const PetscScalar *bvals;

2954:       PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &C));
2955:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2957:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2958:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2960:       for (row = Istart; row < Iend; row++) {
2961:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2962:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2963:         for (j = 0, cncols = 0; j < bncols; j++) {
2964:           if (PetscAbsScalar(bvals[j]) > threshold) {
2965:             ccols[cncols] = bcols[j];
2966:             cvals[cncols] = bvals[j];
2967:             cncols += 1;
2968:           }
2969:         }
2970:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2971:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2972:         PetscCall(PetscFree2(ccols, cvals));
2973:       }
2974:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2975:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2976:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2977:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2978:       PetscCall(MatDestroy(&C));
2979:     }
2980:     PetscCall(MatDestroy(&A));
2981:     PetscCall(MatDestroy(&B));
2982:     PetscCall(MatDestroy(&JT));
2983:     if (Jsave) jacobian = Jsave;
2984:     if (jacobian != snes->jacobian_pre) {
2985:       jacobian = snes->jacobian_pre;
2986:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2987:     } else jacobian = NULL;
2988:   }
2989:   PetscCall(VecDestroy(&x));
2990:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2991:   PetscCall(PetscViewerDestroy(&mviewer));
2992:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2994:   if (Jnorm) *Jnorm = gnorm;
2995:   if (diffNorm) *diffNorm = nrm;
2996:   PetscFunctionReturn(PETSC_SUCCESS);
2997: }

2999: /*@
3000:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

3002:   Collective

3004:   Input Parameters:
3005: + snes - the `SNES` context
3006: - X    - input vector

3008:   Output Parameters:
3009: + A - Jacobian matrix
3010: - B - optional matrix for building the preconditioner, usually the same as `A`

3012:   Options Database Keys:
3013: + -snes_lag_preconditioner lag                  - how often to rebuild preconditioner
3014: . -snes_lag_jacobian lag                        - how often to rebuild Jacobian
3015: . -snes_test_jacobian [threshold]               - compare the user provided Jacobian with one compute via finite differences to check for errors.
3016:                                                   If a threshold is given, display only those entries whose difference is greater than the threshold.
3017: . -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.
3018:                                                   See `PetscOptionsCreateViewer()` for the format of `viewer_specification`
3019: . -snes_compare_explicit                        - compare the computed Jacobian to the finite difference Jacobian and output the differences
3020: . -snes_compare_explicit_draw                   - compare the computed Jacobian to the finite difference Jacobian and draw the result
3021: . -snes_compare_explicit_draw_contour           - compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
3022: . -snes_compare_operator                        - make the comparison options above use the operator instead of the matrix used to construct the preconditioner
3023: . -snes_compare_coloring                        - compute the finite difference Jacobian using coloring and display norms of difference
3024: . -snes_compare_coloring_display                - compute the finite difference Jacobian using coloring and display verbose differences
3025: . -snes_compare_coloring_threshold              - display only those matrix entries that differ by more than a given threshold
3026: . -snes_compare_coloring_threshold_atol         - absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
3027: . -snes_compare_coloring_threshold_rtol         - relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
3028: . -snes_compare_coloring_draw                   - compute the finite difference Jacobian using coloring and draw differences
3029: - -snes_compare_coloring_draw_contour           - compute the finite difference Jacobian using coloring and show contours of matrices and differences

3031:   Level: developer

3033:   Note:
3034:   Most users should not need to explicitly call this routine, as it
3035:   is used internally within the nonlinear solvers.

3037:   Developer Note:
3038:   This has duplicative ways of checking the accuracy of the user provided Jacobian (see the options above). This is for historical reasons.

3040: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
3041:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
3042: @*/
3043: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
3044: {
3045:   PetscBool flag;
3046:   DM        dm;
3047:   DMSNES    sdm;
3048:   KSP       ksp;

3050:   PetscFunctionBegin;
3053:   PetscCheckSameComm(snes, 1, X, 2);
3054:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
3055:   PetscCall(SNESGetDM(snes, &dm));
3056:   PetscCall(DMGetDMSNES(dm, &sdm));

3058:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
3059:   if (snes->lagjacobian == -2) {
3060:     snes->lagjacobian = -1;

3062:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
3063:   } else if (snes->lagjacobian == -1) {
3064:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
3065:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3066:     if (flag) {
3067:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3068:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3069:     }
3070:     PetscFunctionReturn(PETSC_SUCCESS);
3071:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
3072:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
3073:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3074:     if (flag) {
3075:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3076:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3077:     }
3078:     PetscFunctionReturn(PETSC_SUCCESS);
3079:   }
3080:   if (snes->npc && snes->npcside == PC_LEFT) {
3081:     /* SNESASPIN uses SNESNASM as the nonlinear preconditioner. When SNESNASM
3082:        is done solving the sub-systems it calls the user-provided Jacobian function
3083:        (corresponding to the unpreconditioned residual) retrieved through the DM.
3084:        Consequently it would be redundant to call the Jacobian function here. In
3085:        the future we may move the outer Jacobian function call out of SNESNASM
3086:        in which case no special casing will be required here. */
3087:     PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESASPIN, &flag));
3088:     if (flag) {
3089:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3090:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3091:       PetscFunctionReturn(PETSC_SUCCESS);
3092:     }
3093:   }

3095:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
3096:   PetscCall(VecLockReadPush(X));
3097:   {
3098:     void           *ctx;
3099:     SNESJacobianFn *J;
3100:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3101:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3102:   }
3103:   PetscCall(VecLockReadPop(X));
3104:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3106:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3107:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3109:   /* the next line ensures that snes->ksp exists */
3110:   PetscCall(SNESGetKSP(snes, &ksp));
3111:   if (snes->lagpreconditioner == -2) {
3112:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3113:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3114:     snes->lagpreconditioner = -1;
3115:   } else if (snes->lagpreconditioner == -1) {
3116:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3117:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3118:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3119:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3120:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3121:   } else {
3122:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3123:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3124:   }

3126:   /* monkey business to allow testing Jacobians in multilevel solvers.
3127:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3128:   {
3129:     Vec xsave            = snes->vec_sol;
3130:     Mat jacobiansave     = snes->jacobian;
3131:     Mat jacobian_presave = snes->jacobian_pre;

3133:     snes->vec_sol      = X;
3134:     snes->jacobian     = A;
3135:     snes->jacobian_pre = B;
3136:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3137:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3139:     snes->vec_sol      = xsave;
3140:     snes->jacobian     = jacobiansave;
3141:     snes->jacobian_pre = jacobian_presave;
3142:   }

3144:   {
3145:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3146:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3147:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3148:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3149:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3150:     if (flag || flag_draw || flag_contour) {
3151:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3152:       PetscViewer vdraw, vstdout;
3153:       PetscBool   flg;
3154:       if (flag_operator) {
3155:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3156:         Bexp = Bexp_mine;
3157:       } else {
3158:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3159:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3160:         if (flg) Bexp = B;
3161:         else {
3162:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3163:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3164:           Bexp = Bexp_mine;
3165:         }
3166:       }
3167:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3168:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3169:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3170:       if (flag_draw || flag_contour) {
3171:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3172:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3173:       } else vdraw = NULL;
3174:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3175:       if (flag) PetscCall(MatView(Bexp, vstdout));
3176:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3177:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3178:       if (flag) PetscCall(MatView(FDexp, vstdout));
3179:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3180:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3181:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3182:       if (flag) PetscCall(MatView(FDexp, vstdout));
3183:       if (vdraw) { /* Always use contour for the difference */
3184:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3185:         PetscCall(MatView(FDexp, vdraw));
3186:         PetscCall(PetscViewerPopFormat(vdraw));
3187:       }
3188:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3189:       PetscCall(PetscViewerDestroy(&vdraw));
3190:       PetscCall(MatDestroy(&Bexp_mine));
3191:       PetscCall(MatDestroy(&FDexp));
3192:     }
3193:   }
3194:   {
3195:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3196:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3197:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3198:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3199:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3200:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3201:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3202:     if (flag_threshold) {
3203:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3204:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3205:     }
3206:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3207:       Mat             Bfd;
3208:       PetscViewer     vdraw, vstdout;
3209:       MatColoring     coloring;
3210:       ISColoring      iscoloring;
3211:       MatFDColoring   matfdcoloring;
3212:       SNESFunctionFn *func;
3213:       void           *funcctx;
3214:       PetscReal       norm1, norm2, normmax;

3216:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3217:       PetscCall(MatColoringCreate(Bfd, &coloring));
3218:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3219:       PetscCall(MatColoringSetFromOptions(coloring));
3220:       PetscCall(MatColoringApply(coloring, &iscoloring));
3221:       PetscCall(MatColoringDestroy(&coloring));
3222:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3223:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3224:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3225:       PetscCall(ISColoringDestroy(&iscoloring));

3227:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3228:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3229:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3230:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3231:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3232:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3233:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3234:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3236:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3237:       if (flag_draw || flag_contour) {
3238:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3239:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3240:       } else vdraw = NULL;
3241:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3242:       if (flag_display) PetscCall(MatView(B, vstdout));
3243:       if (vdraw) PetscCall(MatView(B, vdraw));
3244:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3245:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3246:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3247:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3248:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3249:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3250:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3251:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3252:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3253:       if (vdraw) { /* Always use contour for the difference */
3254:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3255:         PetscCall(MatView(Bfd, vdraw));
3256:         PetscCall(PetscViewerPopFormat(vdraw));
3257:       }
3258:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3260:       if (flag_threshold) {
3261:         PetscInt bs, rstart, rend, i;
3262:         PetscCall(MatGetBlockSize(B, &bs));
3263:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3264:         for (i = rstart; i < rend; i++) {
3265:           const PetscScalar *ba, *ca;
3266:           const PetscInt    *bj, *cj;
3267:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3268:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3269:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3270:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3271:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3272:           for (j = 0; j < bn; j++) {
3273:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3274:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3275:               maxentrycol = bj[j];
3276:               maxentry    = PetscRealPart(ba[j]);
3277:             }
3278:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3279:               maxdiffcol = bj[j];
3280:               maxdiff    = PetscRealPart(ca[j]);
3281:             }
3282:             if (rdiff > maxrdiff) {
3283:               maxrdiffcol = bj[j];
3284:               maxrdiff    = rdiff;
3285:             }
3286:           }
3287:           if (maxrdiff > 1) {
3288:             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));
3289:             for (j = 0; j < bn; j++) {
3290:               PetscReal rdiff;
3291:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3292:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3293:             }
3294:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3295:           }
3296:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3297:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3298:         }
3299:       }
3300:       PetscCall(PetscViewerDestroy(&vdraw));
3301:       PetscCall(MatDestroy(&Bfd));
3302:     }
3303:   }
3304:   PetscFunctionReturn(PETSC_SUCCESS);
3305: }

3307: /*@
3308:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3309:   location to store the matrix.

3311:   Logically Collective

3313:   Input Parameters:
3314: + snes - the `SNES` context
3315: . Amat - the matrix that defines the (approximate) Jacobian
3316: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3317: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3318: - ctx  - [optional] user-defined context for private data for the
3319:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3321:   Level: beginner

3323:   Notes:
3324:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3325:   each matrix.

3327:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3328:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3330:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3331:   must be a `MatFDColoring`.

3333:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3334:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3336: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3337:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3338: @*/
3339: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3340: {
3341:   DM dm;

3343:   PetscFunctionBegin;
3347:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3348:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3349:   /* update DMSNES
3350:      We support incremental information; so update the function context only if both Amat and Pmat are not specified
3351:      (which allows to disable the callbacks when both J and ctx are NULL),
3352:      or, if any of the mats is specified, when at least one of J and ctx is not NULL */
3353:   PetscCall(SNESGetDM(snes, &dm));
3354:   if ((!Amat && !Pmat) || J || ctx) PetscCall(DMSNESSetJacobian(dm, J, ctx));
3355:   if (Amat) {
3356:     PetscCall(PetscObjectReference((PetscObject)Amat));
3357:     PetscCall(MatDestroy(&snes->jacobian));

3359:     snes->jacobian = Amat;
3360:   }
3361:   if (Pmat) {
3362:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3363:     PetscCall(MatDestroy(&snes->jacobian_pre));

3365:     snes->jacobian_pre = Pmat;
3366:   }
3367:   PetscFunctionReturn(PETSC_SUCCESS);
3368: }

3370: /*@
3371:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3372:   provided context for evaluating the Jacobian.

3374:   Not Collective, but `Mat` object will be parallel if `SNES` is

3376:   Input Parameter:
3377: . snes - the nonlinear solver context

3379:   Output Parameters:
3380: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3381: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3382: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3383: - ctx  - location to stash Jacobian ctx (or `NULL`)

3385:   Level: advanced

3387: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3388: @*/
3389: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3390: {
3391:   DM dm;

3393:   PetscFunctionBegin;
3395:   if (Amat) *Amat = snes->jacobian;
3396:   if (Pmat) *Pmat = snes->jacobian_pre;
3397:   PetscCall(SNESGetDM(snes, &dm));
3398:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3399:   PetscFunctionReturn(PETSC_SUCCESS);
3400: }

3402: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3403: {
3404:   DM     dm;
3405:   DMSNES sdm;

3407:   PetscFunctionBegin;
3408:   PetscCall(SNESGetDM(snes, &dm));
3409:   PetscCall(DMGetDMSNES(dm, &sdm));
3410:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3411:     DM        dm;
3412:     PetscBool isdense, ismf;

3414:     PetscCall(SNESGetDM(snes, &dm));
3415:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3416:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3417:     if (isdense) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3418:     else if (!ismf) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3419:   }
3420:   PetscFunctionReturn(PETSC_SUCCESS);
3421: }

3423: /*@
3424:   SNESSetUp - Sets up the internal data structures for the later use
3425:   of a nonlinear solver `SNESSolve()`.

3427:   Collective

3429:   Input Parameter:
3430: . snes - the `SNES` context

3432:   Level: advanced

3434:   Note:
3435:   For basic use of the `SNES` solvers the user does not need to explicitly call
3436:   `SNESSetUp()`, since these actions will automatically occur during
3437:   the call to `SNESSolve()`.  However, if one wishes to control this
3438:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3439:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3441: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3442: @*/
3443: PetscErrorCode SNESSetUp(SNES snes)
3444: {
3445:   DM             dm;
3446:   DMSNES         sdm;
3447:   SNESLineSearch linesearch, pclinesearch;
3448:   void          *lsprectx, *lspostctx;
3449:   PetscBool      mf_operator, mf;
3450:   Vec            f, fpc;
3451:   void          *funcctx;
3452:   void          *jacctx, *appctx;
3453:   Mat            j, jpre;
3454:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, PetscCtx);
3455:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, PetscCtx);
3456:   SNESFunctionFn *func;
3457:   SNESJacobianFn *jac;

3459:   PetscFunctionBegin;
3461:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3462:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3464:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3466:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3468:   PetscCall(SNESGetDM(snes, &dm));
3469:   PetscCall(DMGetDMSNES(dm, &sdm));
3470:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3472:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3474:   if (snes->usesksp && !snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3476:   if (snes->linesearch) {
3477:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3478:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3479:   }

3481:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3482:   if (snes->npc && snes->npcside == PC_LEFT) {
3483:     snes->mf          = PETSC_TRUE;
3484:     snes->mf_operator = PETSC_FALSE;
3485:   }
3486:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));
3487:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));

3489:   if (snes->npc) {
3490:     SNESNormSchedule npc_norm_schedule;

3492:     /* copy the DM over and the functions if NPC DM is not present */
3493:     if (!snes->npc->dm) {
3494:       PetscCall(SNESGetDM(snes, &dm));
3495:       PetscCall(SNESSetDM(snes->npc, dm));

3497:       PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3498:       PetscCall(VecDuplicate(f, &fpc));
3499:       PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3500:       PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3501:       PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3502:       PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3503:       PetscCall(VecDestroy(&fpc));

3505:       /* copy the function pointers over */
3506:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3508:       /* Propagate app context if not present */
3509:       PetscCall(SNESGetApplicationContext(snes->npc, &appctx));
3510:       if (!appctx && !snes->npc->ops->ctxcompute) {
3511:         if (snes->ops->ctxcompute) {
3512:           PetscCall(SNESSetComputeApplicationContext(snes->npc, snes->ops->ctxcompute, snes->ops->ctxdestroy));
3513:         } else {
3514:           PetscCall(SNESGetApplicationContext(snes, &appctx));
3515:           PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3516:         }
3517:       }
3518:     }

3520:     /* Set default norm schedule for NPC if not yet set */
3521:     PetscCall(SNESGetNormSchedule(snes->npc, &npc_norm_schedule));
3522:     if (npc_norm_schedule == SNES_NORM_DEFAULT) {
3523:       if (snes->npcside == PC_RIGHT) PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3524:       else if (snes->npcside == PC_LEFT) PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3525:     }

3527:     PetscCall(SNESSetFromOptions(snes->npc));

3529:     /* copy the line search context over */
3530:     if (snes->dm == snes->npc->dm && snes->linesearch && snes->npc->linesearch) {
3531:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3532:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3533:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3534:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3535:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3536:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3537:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3538:     }
3539:   }

3541:   snes->jac_iter = 0;
3542:   snes->pre_iter = 0;

3544:   PetscTryTypeMethod(snes, setup);

3546:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3548:   if (snes->npc && snes->npcside == PC_LEFT) {
3549:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3550:       if (snes->linesearch) {
3551:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3552:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3553:       }
3554:     }
3555:   }
3556:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3557:   snes->setupcalled = PETSC_TRUE;
3558:   PetscFunctionReturn(PETSC_SUCCESS);
3559: }

3561: /*@
3562:   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

3564:   Collective

3566:   Input Parameter:
3567: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3569:   Level: intermediate

3571:   Notes:
3572:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3574:   Call this if you wish to reuse a `SNES` but with different size vectors

3576:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3578: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3579: @*/
3580: PetscErrorCode SNESReset(SNES snes)
3581: {
3582:   PetscFunctionBegin;
3584:   if (snes->ops->ctxdestroy && snes->ctx) {
3585:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3586:     snes->ctx = NULL;
3587:   }
3588:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3590:   PetscTryTypeMethod(snes, reset);
3591:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3593:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3595:   PetscCall(VecDestroy(&snes->vec_rhs));
3596:   PetscCall(VecDestroy(&snes->vec_sol));
3597:   PetscCall(VecDestroy(&snes->vec_sol_update));
3598:   PetscCall(VecDestroy(&snes->vec_func));
3599:   PetscCall(MatDestroy(&snes->jacobian));
3600:   PetscCall(MatDestroy(&snes->jacobian_pre));
3601:   PetscCall(MatDestroy(&snes->picard));
3602:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3603:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3605:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3607:   snes->nwork = snes->nvwork = 0;
3608:   snes->setupcalled          = PETSC_FALSE;
3609:   PetscFunctionReturn(PETSC_SUCCESS);
3610: }

3612: /*@
3613:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3614:   removes the default viewer.

3616:   Collective

3618:   Input Parameter:
3619: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3621:   Level: intermediate

3623: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3624: @*/
3625: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3626: {
3627:   PetscFunctionBegin;
3629:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
3630:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3631:   }
3632:   snes->numberreasonviews = 0;
3633:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3634:   PetscFunctionReturn(PETSC_SUCCESS);
3635: }

3637: /*@
3638:   SNESDestroy - Destroys the nonlinear solver context that was created
3639:   with `SNESCreate()`.

3641:   Collective

3643:   Input Parameter:
3644: . snes - the `SNES` context

3646:   Level: beginner

3648: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3649: @*/
3650: PetscErrorCode SNESDestroy(SNES *snes)
3651: {
3652:   DM dm;

3654:   PetscFunctionBegin;
3655:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3657:   if (--((PetscObject)*snes)->refct > 0) {
3658:     *snes = NULL;
3659:     PetscFunctionReturn(PETSC_SUCCESS);
3660:   }

3662:   PetscCall(SNESReset(*snes));
3663:   PetscCall(SNESDestroy(&(*snes)->npc));

3665:   /* if memory was published with SAWs then destroy it */
3666:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3667:   PetscTryTypeMethod(*snes, destroy);

3669:   dm = (*snes)->dm;
3670:   while (dm) {
3671:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3672:     PetscCall(DMGetCoarseDM(dm, &dm));
3673:   }

3675:   PetscCall(DMDestroy(&(*snes)->dm));
3676:   PetscCall(KSPDestroy(&(*snes)->ksp));
3677:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3679:   PetscCall(PetscFree((*snes)->kspconvctx));
3680:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3681:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3682:   PetscCall(SNESMonitorCancel(*snes));
3683:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3684:   PetscCall(PetscHeaderDestroy(snes));
3685:   PetscFunctionReturn(PETSC_SUCCESS);
3686: }

3688: /* ----------- Routines to set solver parameters ---------- */

3690: /*@
3691:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3693:   Logically Collective

3695:   Input Parameters:
3696: + snes - the `SNES` context
3697: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3698:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3700:   Options Database Keys:
3701: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple `SNESSolve()`
3702: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3703: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple `SNESSolve()`
3704: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3706:   Level: intermediate

3708:   Notes:
3709:   The default is 1

3711:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3713:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3715: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3716:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3717: @*/
3718: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3719: {
3720:   PetscFunctionBegin;
3723:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3724:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3725:   snes->lagpreconditioner = lag;
3726:   PetscFunctionReturn(PETSC_SUCCESS);
3727: }

3729: /*@
3730:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3732:   Logically Collective

3734:   Input Parameters:
3735: + snes  - the `SNES` context
3736: - steps - the number of refinements to do, defaults to 0

3738:   Options Database Key:
3739: . -snes_grid_sequence steps - Use grid sequencing to generate initial guess

3741:   Level: intermediate

3743:   Notes:
3744:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3746:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3748: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3749:           `SNESSetDM()`, `SNESSolve()`
3750: @*/
3751: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3752: {
3753:   PetscFunctionBegin;
3756:   snes->gridsequence = steps;
3757:   PetscFunctionReturn(PETSC_SUCCESS);
3758: }

3760: /*@
3761:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3763:   Logically Collective

3765:   Input Parameter:
3766: . snes - the `SNES` context

3768:   Output Parameter:
3769: . steps - the number of refinements to do, defaults to 0

3771:   Level: intermediate

3773: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3774: @*/
3775: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3776: {
3777:   PetscFunctionBegin;
3779:   *steps = snes->gridsequence;
3780:   PetscFunctionReturn(PETSC_SUCCESS);
3781: }

3783: /*@
3784:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3786:   Not Collective

3788:   Input Parameter:
3789: . snes - the `SNES` context

3791:   Output Parameter:
3792: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3793:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3795:   Level: intermediate

3797:   Notes:
3798:   The default is 1

3800:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3802: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3803: @*/
3804: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3805: {
3806:   PetscFunctionBegin;
3808:   *lag = snes->lagpreconditioner;
3809:   PetscFunctionReturn(PETSC_SUCCESS);
3810: }

3812: /*@
3813:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3814:   often the preconditioner is rebuilt.

3816:   Logically Collective

3818:   Input Parameters:
3819: + snes - the `SNES` context
3820: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3821:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3823:   Options Database Keys:
3824: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3825: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3826: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3827: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag.

3829:   Level: intermediate

3831:   Notes:
3832:   The default is 1

3834:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3836:   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
3837:   at the next Newton step but never again (unless it is reset to another value)

3839: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3840: @*/
3841: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3842: {
3843:   PetscFunctionBegin;
3845:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3846:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3848:   snes->lagjacobian = lag;
3849:   PetscFunctionReturn(PETSC_SUCCESS);
3850: }

3852: /*@
3853:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3855:   Not Collective

3857:   Input Parameter:
3858: . snes - the `SNES` context

3860:   Output Parameter:
3861: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3862:          the Jacobian is built etc.

3864:   Level: intermediate

3866:   Notes:
3867:   The default is 1

3869:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3871: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3872: @*/
3873: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3874: {
3875:   PetscFunctionBegin;
3877:   *lag = snes->lagjacobian;
3878:   PetscFunctionReturn(PETSC_SUCCESS);
3879: }

3881: /*@
3882:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3884:   Logically collective

3886:   Input Parameters:
3887: + snes - the `SNES` context
3888: - flg  - jacobian lagging persists if true

3890:   Options Database Keys:
3891: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3892: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3893: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3894: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3896:   Level: advanced

3898:   Notes:
3899:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3901:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3902:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3903:   timesteps may present huge efficiency gains.

3905: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3906: @*/
3907: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3908: {
3909:   PetscFunctionBegin;
3912:   snes->lagjac_persist = flg;
3913:   PetscFunctionReturn(PETSC_SUCCESS);
3914: }

3916: /*@
3917:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3919:   Logically Collective

3921:   Input Parameters:
3922: + snes - the `SNES` context
3923: - flg  - preconditioner lagging persists if true

3925:   Options Database Keys:
3926: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3927: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3928: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3929: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3931:   Level: developer

3933:   Notes:
3934:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3936:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3937:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3938:   several timesteps may present huge efficiency gains.

3940: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3941: @*/
3942: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3943: {
3944:   PetscFunctionBegin;
3947:   snes->lagpre_persist = flg;
3948:   PetscFunctionReturn(PETSC_SUCCESS);
3949: }

3951: /*@
3952:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3954:   Logically Collective

3956:   Input Parameters:
3957: + snes  - the `SNES` context
3958: - force - `PETSC_TRUE` require at least one iteration

3960:   Options Database Key:
3961: . -snes_force_iteration force - Sets forcing an iteration

3963:   Level: intermediate

3965:   Note:
3966:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3968: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3969: @*/
3970: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3971: {
3972:   PetscFunctionBegin;
3974:   snes->forceiteration = force;
3975:   PetscFunctionReturn(PETSC_SUCCESS);
3976: }

3978: /*@
3979:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3981:   Logically Collective

3983:   Input Parameter:
3984: . snes - the `SNES` context

3986:   Output Parameter:
3987: . force - `PETSC_TRUE` requires at least one iteration.

3989:   Level: intermediate

3991: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3992: @*/
3993: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3994: {
3995:   PetscFunctionBegin;
3997:   *force = snes->forceiteration;
3998:   PetscFunctionReturn(PETSC_SUCCESS);
3999: }

4001: /*@
4002:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

4004:   Logically Collective

4006:   Input Parameters:
4007: + snes   - the `SNES` context
4008: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
4009: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
4010: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
4011: . maxit  - the maximum number of iterations allowed in the solver, default 50.
4012: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

4014:   Options Database Keys:
4015: + -snes_atol abstol    - Sets `abstol`
4016: . -snes_rtol rtol      - Sets `rtol`
4017: . -snes_stol stol      - Sets `stol`
4018: . -snes_max_it maxit   - Sets `maxit`
4019: - -snes_max_funcs maxf - Sets `maxf` (use `unlimited` to have no maximum)

4021:   Level: intermediate

4023:   Note:
4024:   All parameters must be non-negative

4026:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
4027:   The default value is the value in the object when its type is set.

4029:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

4031:   Fortran Note:
4032:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

4034: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
4035: @*/
4036: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
4037: {
4038:   PetscFunctionBegin;

4046:   if (abstol == (PetscReal)PETSC_DETERMINE) {
4047:     snes->abstol = snes->default_abstol;
4048:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
4049:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
4050:     snes->abstol = abstol;
4051:   }

4053:   if (rtol == (PetscReal)PETSC_DETERMINE) {
4054:     snes->rtol = snes->default_rtol;
4055:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
4056:     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);
4057:     snes->rtol = rtol;
4058:   }

4060:   if (stol == (PetscReal)PETSC_DETERMINE) {
4061:     snes->stol = snes->default_stol;
4062:   } else if (stol != (PetscReal)PETSC_CURRENT) {
4063:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
4064:     snes->stol = stol;
4065:   }

4067:   if (maxit == PETSC_DETERMINE) {
4068:     snes->max_its = snes->default_max_its;
4069:   } else if (maxit == PETSC_UNLIMITED) {
4070:     snes->max_its = PETSC_INT_MAX;
4071:   } else if (maxit != PETSC_CURRENT) {
4072:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
4073:     snes->max_its = maxit;
4074:   }

4076:   if (maxf == PETSC_DETERMINE) {
4077:     snes->max_funcs = snes->default_max_funcs;
4078:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
4079:     snes->max_funcs = PETSC_UNLIMITED;
4080:   } else if (maxf != PETSC_CURRENT) {
4081:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
4082:     snes->max_funcs = maxf;
4083:   }
4084:   PetscFunctionReturn(PETSC_SUCCESS);
4085: }

4087: /*@
4088:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

4090:   Logically Collective

4092:   Input Parameters:
4093: + snes   - the `SNES` context
4094: - 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
4095:            is stopped due to divergence.

4097:   Options Database Key:
4098: . -snes_divergence_tolerance divtol - Sets `divtol`

4100:   Level: intermediate

4102:   Notes:
4103:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

4105:   Fortran Note:
4106:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

4108: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
4109: @*/
4110: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
4111: {
4112:   PetscFunctionBegin;

4116:   if (divtol == (PetscReal)PETSC_DETERMINE) {
4117:     snes->divtol = snes->default_divtol;
4118:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
4119:     snes->divtol = PETSC_UNLIMITED;
4120:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4121:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4122:     snes->divtol = divtol;
4123:   }
4124:   PetscFunctionReturn(PETSC_SUCCESS);
4125: }

4127: /*@
4128:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4130:   Not Collective

4132:   Input Parameter:
4133: . snes - the `SNES` context

4135:   Output Parameters:
4136: + atol  - the absolute convergence tolerance
4137: . rtol  - the relative convergence tolerance
4138: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4139: . maxit - the maximum number of iterations allowed
4140: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4142:   Level: intermediate

4144:   Notes:
4145:   See `SNESSetTolerances()` for details on the parameters.

4147:   The user can specify `NULL` for any parameter that is not needed.

4149: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4150: @*/
4151: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4152: {
4153:   PetscFunctionBegin;
4155:   if (atol) *atol = snes->abstol;
4156:   if (rtol) *rtol = snes->rtol;
4157:   if (stol) *stol = snes->stol;
4158:   if (maxit) *maxit = snes->max_its;
4159:   if (maxf) *maxf = snes->max_funcs;
4160:   PetscFunctionReturn(PETSC_SUCCESS);
4161: }

4163: /*@
4164:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4166:   Not Collective

4168:   Input Parameters:
4169: + snes   - the `SNES` context
4170: - divtol - divergence tolerance

4172:   Level: intermediate

4174: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4175: @*/
4176: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4177: {
4178:   PetscFunctionBegin;
4180:   if (divtol) *divtol = snes->divtol;
4181:   PetscFunctionReturn(PETSC_SUCCESS);
4182: }

4184: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4186: /*@
4187:   SNESMonitorLGRange - Line-graph monitor that plots the residual norm together with residual-range statistics for a `SNESSolve()`

4189:   Collective

4191:   Input Parameters:
4192: + snes   - the `SNES` context
4193: . n      - the iteration number
4194: . rnorm  - the 2-norm of the residual
4195: - monctx - a `PetscViewer` of type `PETSCVIEWERDRAW` set up with `PetscViewerMonitorLGSetUp()`

4197:   Level: intermediate

4199:   Note:
4200:   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.

4202: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`, `SNESMonitorDefault()`, `PetscViewerDrawGetDrawLG()`, `PetscDrawLG`
4203: @*/
4204: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, PetscCtx monctx)
4205: {
4206:   PetscDrawLG      lg;
4207:   PetscReal        x, y, per;
4208:   PetscViewer      v = (PetscViewer)monctx;
4209:   static PetscReal prev; /* should be in the context */
4210:   PetscDraw        draw;

4212:   PetscFunctionBegin;
4214:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4215:   if (!n) PetscCall(PetscDrawLGReset(lg));
4216:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4217:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4218:   x = (PetscReal)n;
4219:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4220:   else y = -15.0;
4221:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4222:   if (n < 20 || !(n % 5) || snes->reason) {
4223:     PetscCall(PetscDrawLGDraw(lg));
4224:     PetscCall(PetscDrawLGSave(lg));
4225:   }

4227:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4228:   if (!n) PetscCall(PetscDrawLGReset(lg));
4229:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4230:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4231:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4232:   x = (PetscReal)n;
4233:   y = 100.0 * per;
4234:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4235:   if (n < 20 || !(n % 5) || snes->reason) {
4236:     PetscCall(PetscDrawLGDraw(lg));
4237:     PetscCall(PetscDrawLGSave(lg));
4238:   }

4240:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4241:   if (!n) {
4242:     prev = rnorm;
4243:     PetscCall(PetscDrawLGReset(lg));
4244:   }
4245:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4246:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4247:   x = (PetscReal)n;
4248:   y = (prev - rnorm) / prev;
4249:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4250:   if (n < 20 || !(n % 5) || snes->reason) {
4251:     PetscCall(PetscDrawLGDraw(lg));
4252:     PetscCall(PetscDrawLGSave(lg));
4253:   }

4255:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4256:   if (!n) PetscCall(PetscDrawLGReset(lg));
4257:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4258:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4259:   x = (PetscReal)n;
4260:   y = (prev - rnorm) / (prev * per);
4261:   if (n > 2) { /*skip initial crazy value */
4262:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4263:   }
4264:   if (n < 20 || !(n % 5) || snes->reason) {
4265:     PetscCall(PetscDrawLGDraw(lg));
4266:     PetscCall(PetscDrawLGSave(lg));
4267:   }
4268:   prev = rnorm;
4269:   PetscFunctionReturn(PETSC_SUCCESS);
4270: }

4272: /*@
4273:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4275:   Collective

4277:   Input Parameters:
4278: + snes  - the `SNES` context
4279: . it    - current iteration
4280: . xnorm - 2-norm of current iterate
4281: . snorm - 2-norm of current step
4282: - fnorm - 2-norm of function

4284:   Level: developer

4286:   Note:
4287:   This routine is called by the `SNESSolve()` implementations.
4288:   It does not typically need to be called by the user.

4290: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4291: @*/
4292: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4293: {
4294:   PetscFunctionBegin;
4295:   if (!snes->reason) {
4296:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4297:     if (it == snes->max_its && !snes->reason) {
4298:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4299:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4300:         snes->reason = SNES_DIVERGED_MAX_IT;
4301:       } else snes->reason = SNES_CONVERGED_ITS;
4302:     }
4303:   }
4304:   PetscFunctionReturn(PETSC_SUCCESS);
4305: }

4307: /*@
4308:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4310:   Collective

4312:   Input Parameters:
4313: + snes  - nonlinear solver context obtained from `SNESCreate()`
4314: . iter  - current iteration number
4315: - rnorm - current relative norm of the residual

4317:   Level: developer

4319:   Note:
4320:   This routine is called by the `SNESSolve()` implementations.
4321:   It does not typically need to be called by the user.

4323: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4324: @*/
4325: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4326: {
4327:   PetscInt i, n = snes->numbermonitors;

4329:   PetscFunctionBegin;
4330:   PetscCall(VecLockReadPush(snes->vec_sol));
4331:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4332:   PetscCall(VecLockReadPop(snes->vec_sol));
4333:   PetscFunctionReturn(PETSC_SUCCESS);
4334: }

4336: /* ------------ Routines to set performance monitoring options ----------- */

4338: /*MC
4339:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4341:      Synopsis:
4342: #include <petscsnes.h>
4343:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, PetscCtx mctx)

4345:      Collective

4347:     Input Parameters:
4348: +    snes - the `SNES` context
4349: .    its - iteration number
4350: .    norm - 2-norm function value (may be estimated)
4351: -    mctx - [optional] monitoring context

4353:    Level: advanced

4355: .seealso: [](ch_snes), `SNESMonitorSet()`, `PetscCtx`
4356: M*/

4358: /*@
4359:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4360:   iteration of the `SNES` nonlinear solver to display the iteration's
4361:   progress.

4363:   Logically Collective

4365:   Input Parameters:
4366: + snes           - the `SNES` context
4367: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4368: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4369: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4371:   Calling sequence of f:
4372: + snes  - the `SNES` object
4373: . it    - the current iteration
4374: . rnorm - norm of the residual
4375: - mctx  - the optional monitor context

4377:   Options Database Keys:
4378: + -snes_monitor               - sets `SNESMonitorDefault()`
4379: . -snes_monitor draw::draw_lg - sets line graph monitor
4380: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4381:                                 the options database.

4383:   Level: intermediate

4385:   Note:
4386:   Several different monitoring routines may be set by calling
4387:   `SNESMonitorSet()` multiple times; all will be called in the
4388:   order in which they were set.

4390:   Fortran Note:
4391:   Only a single monitor function can be set for each `SNES` object

4393: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4394: @*/
4395: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscInt it, PetscReal rnorm, PetscCtx mctx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4396: {
4397:   PetscFunctionBegin;
4399:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4400:     PetscBool identical;

4402:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4403:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4404:   }
4405:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4406:   snes->monitor[snes->numbermonitors]          = f;
4407:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4408:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4409:   PetscFunctionReturn(PETSC_SUCCESS);
4410: }

4412: /*@
4413:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4415:   Logically Collective

4417:   Input Parameter:
4418: . snes - the `SNES` context

4420:   Options Database Key:
4421: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4422:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4423:                          set via the options database

4425:   Level: intermediate

4427:   Note:
4428:   There is no way to clear one specific monitor from a `SNES` object.

4430: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4431: @*/
4432: PetscErrorCode SNESMonitorCancel(SNES snes)
4433: {
4434:   PetscFunctionBegin;
4436:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4437:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4438:   }
4439:   snes->numbermonitors = 0;
4440:   PetscFunctionReturn(PETSC_SUCCESS);
4441: }

4443: /*@
4444:   SNESSetConvergenceTest - Sets the function that is to be used
4445:   to test for convergence of the nonlinear iterative solution.

4447:   Logically Collective

4449:   Input Parameters:
4450: + snes    - the `SNES` context
4451: . func    - routine to test for convergence
4452: . ctx     - [optional] context for private data for the convergence routine  (may be `NULL`)
4453: - destroy - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4455:   Calling sequence of func:
4456: + snes   - the `SNES` context
4457: . it     - the current iteration number
4458: . xnorm  - the norm of the new solution
4459: . snorm  - the norm of the step
4460: . fnorm  - the norm of the function value
4461: . reason - output, the reason convergence or divergence as declared
4462: - ctx    - the optional convergence test context

4464:   Level: advanced

4466: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`
4467: @*/
4468: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm, SNESConvergedReason *reason, PetscCtx ctx), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4469: {
4470:   PetscFunctionBegin;
4472:   if (!func) func = SNESConvergedSkip;
4473:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4474:   snes->ops->converged        = func;
4475:   snes->ops->convergeddestroy = destroy;
4476:   snes->cnvP                  = ctx;
4477:   PetscFunctionReturn(PETSC_SUCCESS);
4478: }

4480: /*@
4481:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4483:   Not Collective

4485:   Input Parameter:
4486: . snes - the `SNES` context

4488:   Output Parameter:
4489: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4491:   Options Database Key:
4492: . -snes_converged_reason - prints the reason to standard out

4494:   Level: intermediate

4496:   Note:
4497:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4499: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4500: @*/
4501: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4502: {
4503:   PetscFunctionBegin;
4505:   PetscAssertPointer(reason, 2);
4506:   *reason = snes->reason;
4507:   PetscFunctionReturn(PETSC_SUCCESS);
4508: }

4510: /*@
4511:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4513:   Not Collective

4515:   Input Parameter:
4516: . snes - the `SNES` context

4518:   Output Parameter:
4519: . strreason - a human readable string that describes `SNES` converged reason

4521:   Level: beginner

4523: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4524: @*/
4525: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char *strreason[])
4526: {
4527:   PetscFunctionBegin;
4529:   PetscAssertPointer(strreason, 2);
4530:   *strreason = SNESConvergedReasons[snes->reason];
4531:   PetscFunctionReturn(PETSC_SUCCESS);
4532: }

4534: /*@
4535:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4537:   Not Collective

4539:   Input Parameters:
4540: + snes   - the `SNES` context
4541: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4542:             manual pages for the individual convergence tests for complete lists

4544:   Level: developer

4546:   Developer Note:
4547:   Called inside the various `SNESSolve()` implementations

4549: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4550: @*/
4551: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4552: {
4553:   PetscFunctionBegin;
4555:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4556:   snes->reason = reason;
4557:   PetscFunctionReturn(PETSC_SUCCESS);
4558: }

4560: /*@
4561:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4563:   Logically Collective

4565:   Input Parameters:
4566: + snes  - iterative context obtained from `SNESCreate()`
4567: . a     - array to hold history, this array will contain the function norms computed at each step
4568: . its   - integer array holds the number of linear iterations for each solve.
4569: . na    - size of `a` and `its`
4570: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4571:           else it continues storing new values for new nonlinear solves after the old ones

4573:   Level: intermediate

4575:   Notes:
4576:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4577:   default array of length 1,000 is allocated.

4579:   This routine is useful, e.g., when running a code for purposes
4580:   of accurate performance monitoring, when no I/O should be done
4581:   during the section of code that is being timed.

4583:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4585: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4586: @*/
4587: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4588: {
4589:   PetscFunctionBegin;
4591:   if (a) PetscAssertPointer(a, 2);
4592:   if (its) PetscAssertPointer(its, 3);
4593:   if (!a) {
4594:     if (na == PETSC_DECIDE) na = 1000;
4595:     PetscCall(PetscCalloc2(na, &a, na, &its));
4596:     snes->conv_hist_alloc = PETSC_TRUE;
4597:   }
4598:   snes->conv_hist       = a;
4599:   snes->conv_hist_its   = its;
4600:   snes->conv_hist_max   = (size_t)na;
4601:   snes->conv_hist_len   = 0;
4602:   snes->conv_hist_reset = reset;
4603:   PetscFunctionReturn(PETSC_SUCCESS);
4604: }

4606: #if PetscDefined(HAVE_MATLAB)
4607:   #include <engine.h> /* MATLAB include file */
4608:   #include <mex.h>    /* MATLAB include file */

4610: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4611: {
4612:   mxArray   *mat;
4613:   PetscReal *ar;

4615:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4616:   ar  = (PetscReal *)mxGetData(mat);
4617:   for (PetscInt i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4618:   return mat;
4619: }
4620: #endif

4622: /*@
4623:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4625:   Not Collective

4627:   Input Parameter:
4628: . snes - iterative context obtained from `SNESCreate()`

4630:   Output Parameters:
4631: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4632: . its - integer array holds the number of linear iterations (or
4633:          negative if not converged) for each solve.
4634: - na  - size of `a` and `its`

4636:   Level: intermediate

4638:   Note:
4639:   This routine is useful, e.g., when running a code for purposes
4640:   of accurate performance monitoring, when no I/O should be done
4641:   during the section of code that is being timed.

4643:   Fortran Notes:
4644:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4646:   Use the arguments
4647: .vb
4648:   PetscReal, pointer :: a(:)
4649:   PetscInt, pointer :: its(:)
4650: .ve

4652: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4653: @*/
4654: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4655: {
4656:   PetscFunctionBegin;
4658:   if (a) *a = snes->conv_hist;
4659:   if (its) *its = snes->conv_hist_its;
4660:   if (na) *na = (PetscInt)snes->conv_hist_len;
4661:   PetscFunctionReturn(PETSC_SUCCESS);
4662: }

4664: /*@
4665:   SNESSetUpdate - Sets the general-purpose update function called
4666:   at the beginning of every iteration of the nonlinear solve. Specifically
4667:   it is called just before the Jacobian is "evaluated" and after the function
4668:   evaluation.

4670:   Logically Collective

4672:   Input Parameters:
4673: + snes - The nonlinear solver context
4674: - func - The update function; for calling sequence see `SNESUpdateFn`

4676:   Level: advanced

4678:   Notes:
4679:   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
4680:   to `SNESSetFunction()`, or `SNESSetPicard()`
4681:   This is not used by most users, and it is intended to provide a general hook that is run
4682:   right before the direction step is computed.

4684:   Users are free to modify the current residual vector,
4685:   the current linearization point, or any other vector associated to the specific solver used.
4686:   If such modifications take place, it is the user responsibility to update all the relevant
4687:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4688: .vb
4689:   PetscErrorCode update(SNES snes, PetscInt iteration)
4690:   {
4691:     PetscFunctionBeginUser;
4692:     if (iteration > 0) {
4693:       // update the model parameters here
4694:       Vec x,f;
4695:       PetscCall(SNESGetSolution(snes,&x));
4696:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4697:       PetscCall(SNESComputeFunction(snes,x,f));
4698:     }
4699:     PetscFunctionReturn(PETSC_SUCCESS);
4700:   }
4701: .ve

4703:   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.

4705: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4706:          `SNESMonitorSet()`
4707: @*/
4708: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4709: {
4710:   PetscFunctionBegin;
4712:   snes->ops->update = func;
4713:   PetscFunctionReturn(PETSC_SUCCESS);
4714: }

4716: /*@
4717:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4719:   Collective

4721:   Input Parameters:
4722: + snes   - iterative context obtained from `SNESCreate()`
4723: - viewer - the viewer to display the reason

4725:   Options Database Keys:
4726: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4727: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4729:   Level: beginner

4731:   Note:
4732:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4733:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4735: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4736:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4737:           `SNESConvergedReasonViewFromOptions()`,
4738:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4739: @*/
4740: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4741: {
4742:   PetscViewerFormat format;
4743:   PetscBool         isAscii;

4745:   PetscFunctionBegin;
4746:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4747:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4748:   if (isAscii) {
4749:     PetscCall(PetscViewerGetFormat(viewer, &format));
4750:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4751:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4752:       DM       dm;
4753:       Vec      u;
4754:       PetscDS  prob;
4755:       PetscInt Nf;
4756:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4757:       void    **exactCtx;
4758:       PetscReal error;

4760:       PetscCall(SNESGetDM(snes, &dm));
4761:       PetscCall(SNESGetSolution(snes, &u));
4762:       PetscCall(DMGetDS(dm, &prob));
4763:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4764:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4765:       for (PetscInt f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4766:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4767:       PetscCall(PetscFree2(exactSol, exactCtx));
4768:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4769:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4770:     }
4771:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4772:       if (((PetscObject)snes)->prefix) {
4773:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4774:       } else {
4775:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4776:       }
4777:     } else if (snes->reason <= 0) {
4778:       if (((PetscObject)snes)->prefix) {
4779:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4780:       } else {
4781:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4782:       }
4783:     }
4784:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4785:   }
4786:   PetscFunctionReturn(PETSC_SUCCESS);
4787: }

4789: /*@
4790:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4791:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4793:   Logically Collective

4795:   Input Parameters:
4796: + snes              - the `SNES` context
4797: . f                 - the `SNESConvergedReason` view function
4798: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4799: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4801:   Calling sequence of `f`:
4802: + snes - the `SNES` context
4803: - vctx - [optional] context for private data for the function

4805:   Options Database Keys:
4806: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4807: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4808:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4810:   Level: intermediate

4812:   Note:
4813:   Several different converged reason view routines may be set by calling
4814:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4815:   order in which they were set.

4817: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4818:           `PetscCtxDestroyFn`
4819: @*/
4820: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscCtx vctx), PetscCtx vctx, PetscCtxDestroyFn *reasonviewdestroy)
4821: {
4822:   PetscFunctionBegin;
4824:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4825:     PetscBool identical;

4827:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4828:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4829:   }
4830:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4831:   snes->reasonview[snes->numberreasonviews]          = f;
4832:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4833:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4834:   PetscFunctionReturn(PETSC_SUCCESS);
4835: }

4837: /*@
4838:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4839:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4841:   Collective

4843:   Input Parameter:
4844: . snes - the `SNES` object

4846:   Level: advanced

4848:   Note:
4849:   This function has a different API and behavior than `PetscObjectViewFromOptions()`

4851: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4852:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4853: @*/
4854: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4855: {
4856:   static PetscBool incall = PETSC_FALSE;

4858:   PetscFunctionBegin;
4859:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4860:   incall = PETSC_TRUE;

4862:   /* All user-provided viewers are called first, if they exist. */
4863:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4865:   /* Call PETSc default routine if users ask for it */
4866:   if (snes->convergedreasonviewer) {
4867:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4868:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4869:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4870:   }
4871:   incall = PETSC_FALSE;
4872:   PetscFunctionReturn(PETSC_SUCCESS);
4873: }

4875: /*@
4876:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4878:   Collective

4880:   Input Parameters:
4881: + snes - the `SNES` context
4882: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4883: - x    - the solution vector.

4885:   Level: beginner

4887:   Note:
4888:   The user should initialize the vector, `x`, with the initial guess
4889:   for the nonlinear solve prior to calling `SNESSolve()` .

4891: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4892:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4893:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4894: @*/
4895: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4896: {
4897:   PetscBool flg;
4898:   Vec       xcreated = NULL;
4899:   DM        dm;

4901:   PetscFunctionBegin;
4904:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4906:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4908:   /* High level operations using the nonlinear solver */
4909:   {
4910:     PetscViewer       viewer;
4911:     PetscViewerFormat format;
4912:     PetscInt          num;
4913:     PetscBool         flg;
4914:     static PetscBool  incall = PETSC_FALSE;

4916:     if (!incall) {
4917:       /* Estimate the convergence rate of the discretization */
4918:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4919:       if (flg) {
4920:         PetscConvEst conv;
4921:         DM           dm;
4922:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4923:         PetscInt     Nf;

4925:         incall = PETSC_TRUE;
4926:         PetscCall(SNESGetDM(snes, &dm));
4927:         PetscCall(DMGetNumFields(dm, &Nf));
4928:         PetscCall(PetscCalloc1(Nf, &alpha));
4929:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4930:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4931:         PetscCall(PetscConvEstSetFromOptions(conv));
4932:         PetscCall(PetscConvEstSetUp(conv));
4933:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4934:         PetscCall(PetscViewerPushFormat(viewer, format));
4935:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4936:         PetscCall(PetscViewerPopFormat(viewer));
4937:         PetscCall(PetscViewerDestroy(&viewer));
4938:         PetscCall(PetscConvEstDestroy(&conv));
4939:         PetscCall(PetscFree(alpha));
4940:         incall = PETSC_FALSE;
4941:       }
4942:       /* Adaptively refine the initial grid */
4943:       num = 1;
4944:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4945:       if (flg) {
4946:         DMAdaptor adaptor;

4948:         incall = PETSC_TRUE;
4949:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4950:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4951:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4952:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4953:         PetscCall(DMAdaptorSetUp(adaptor));
4954:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4955:         PetscCall(DMAdaptorDestroy(&adaptor));
4956:         incall = PETSC_FALSE;
4957:       }
4958:       /* Use grid sequencing to adapt */
4959:       num = 0;
4960:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4961:       if (num) {
4962:         DMAdaptor   adaptor;
4963:         const char *prefix;

4965:         incall = PETSC_TRUE;
4966:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4967:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4968:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4969:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4970:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4971:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4972:         PetscCall(DMAdaptorSetUp(adaptor));
4973:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4974:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4975:         PetscCall(DMAdaptorDestroy(&adaptor));
4976:         incall = PETSC_FALSE;
4977:       }
4978:     }
4979:   }
4980:   if (!x) x = snes->vec_sol;
4981:   if (!x) {
4982:     PetscCall(SNESGetDM(snes, &dm));
4983:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4984:     x = xcreated;
4985:   }
4986:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4988:   for (PetscInt grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4989:   for (PetscInt grid = 0; grid < snes->gridsequence + 1; grid++) {
4990:     /* set solution vector */
4991:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4992:     PetscCall(VecDestroy(&snes->vec_sol));
4993:     snes->vec_sol = x;
4994:     PetscCall(SNESGetDM(snes, &dm));

4996:     /* set affine vector if provided */
4997:     PetscCall(PetscObjectReference((PetscObject)b));
4998:     PetscCall(VecDestroy(&snes->vec_rhs));
4999:     snes->vec_rhs = b;

5001:     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");
5002:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
5003:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
5004:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
5005:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
5006:     PetscCall(SNESSetUp(snes));

5008:     if (!grid) {
5009:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
5010:     }

5012:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
5013:     PetscCall(SNESResetCounters(snes));
5014:     snes->reason = SNES_CONVERGED_ITERATING;
5015:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
5016:     PetscUseTypeMethod(snes, solve);
5017:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
5018:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
5019:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
5020:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
5021:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

5023:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
5024:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

5026:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
5027:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
5028:     /* Call converged reason views. This may involve user-provided viewers as well */
5029:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

5031:     if (snes->errorifnotconverged) {
5032:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
5033:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
5034:     }
5035:     if (snes->reason < 0) break;
5036:     if (grid < snes->gridsequence) {
5037:       DM  fine;
5038:       Vec xnew;
5039:       Mat interp;

5041:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
5042:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
5043:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
5044:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
5045:       PetscCall(DMCreateGlobalVector(fine, &xnew));
5046:       PetscCall(MatInterpolate(interp, x, xnew));
5047:       PetscCall(DMInterpolate(snes->dm, interp, fine));
5048:       PetscCall(MatDestroy(&interp));
5049:       x = xnew;

5051:       PetscCall(SNESReset(snes));
5052:       PetscCall(SNESSetDM(snes, fine));
5053:       PetscCall(SNESResetFromOptions(snes));
5054:       PetscCall(DMDestroy(&fine));
5055:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
5056:     }
5057:   }
5058:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
5059:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
5060:   PetscCall(DMMonitor(snes->dm));
5061:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

5063:   PetscCall(VecDestroy(&xcreated));
5064:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
5065:   PetscFunctionReturn(PETSC_SUCCESS);
5066: }

5068: /* --------- Internal routines for SNES Package --------- */

5070: /*@
5071:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

5073:   Collective

5075:   Input Parameters:
5076: + snes - the `SNES` context
5077: - type - a known method

5079:   Options Database Key:
5080: . -snes_type type - Sets the method; see `SNESType`

5082:   Level: intermediate

5084:   Notes:
5085:   See `SNESType` for available methods (for instance)
5086: +    `SNESNEWTONLS` - Newton's method with line search
5087:   (systems of nonlinear equations)
5088: -    `SNESNEWTONTR` - Newton's method with trust region
5089:   (systems of nonlinear equations)

5091:   Normally, it is best to use the `SNESSetFromOptions()` command and then
5092:   set the `SNES` solver type from the options database rather than by using
5093:   this routine.  Using the options database provides the user with
5094:   maximum flexibility in evaluating the many nonlinear solvers.
5095:   The `SNESSetType()` routine is provided for those situations where it
5096:   is necessary to set the nonlinear solver independently of the command
5097:   line or options database.  This might be the case, for example, when
5098:   the choice of solver changes during the execution of the program,
5099:   and the user's application is taking responsibility for choosing the
5100:   appropriate method.

5102:   Developer Note:
5103:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
5104:   the constructor in that list and calls it to create the specific object.

5106: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
5107: @*/
5108: PetscErrorCode SNESSetType(SNES snes, SNESType type)
5109: {
5110:   PetscBool match;
5111:   PetscErrorCode (*r)(SNES);

5113:   PetscFunctionBegin;
5115:   PetscAssertPointer(type, 2);

5117:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
5118:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

5120:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
5121:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
5122:   /* Destroy the previous private SNES context */
5123:   PetscTryTypeMethod(snes, destroy);
5124:   /* Reinitialize type-specific function pointers in SNESOps structure */
5125:   snes->ops->reset          = NULL;
5126:   snes->ops->setup          = NULL;
5127:   snes->ops->solve          = NULL;
5128:   snes->ops->view           = NULL;
5129:   snes->ops->setfromoptions = NULL;
5130:   snes->ops->destroy        = NULL;

5132:   /* It may happen the user has customized the line search before calling SNESSetType */
5133:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5135:   /* Reinitialize default parameters */
5136:   PetscCall(SNESParametersInitialize(snes));

5138:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5139:   snes->setupcalled = PETSC_FALSE;
5140:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5141:   PetscCall((*r)(snes));
5142:   PetscFunctionReturn(PETSC_SUCCESS);
5143: }

5145: /*@
5146:   SNESGetType - Gets the `SNES` method type and name (as a string).

5148:   Not Collective

5150:   Input Parameter:
5151: . snes - nonlinear solver context

5153:   Output Parameter:
5154: . type - `SNES` method (a character string)

5156:   Level: intermediate

5158:   Note:
5159:   `type` should not be retained for later use as it will be an invalid pointer if the `SNESType` of `snes` is changed.

5161: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`, `PetscObjectTypeCompare()`, `PetscObjectTypeCompareAny()`
5162: @*/
5163: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5164: {
5165:   PetscFunctionBegin;
5167:   PetscAssertPointer(type, 2);
5168:   *type = ((PetscObject)snes)->type_name;
5169:   PetscFunctionReturn(PETSC_SUCCESS);
5170: }

5172: /*@
5173:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5175:   Logically Collective

5177:   Input Parameters:
5178: + snes - the `SNES` context obtained from `SNESCreate()`
5179: - u    - the solution vector

5181:   Level: beginner

5183: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5184: @*/
5185: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5186: {
5187:   DM dm;

5189:   PetscFunctionBegin;
5192:   PetscCall(PetscObjectReference((PetscObject)u));
5193:   PetscCall(VecDestroy(&snes->vec_sol));

5195:   snes->vec_sol = u;

5197:   PetscCall(SNESGetDM(snes, &dm));
5198:   PetscCall(DMShellSetGlobalVector(dm, u));
5199:   PetscFunctionReturn(PETSC_SUCCESS);
5200: }

5202: /*@
5203:   SNESGetSolution - Returns the vector where the approximate solution is
5204:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5206:   Not Collective, but `x` is parallel if `snes` is parallel

5208:   Input Parameter:
5209: . snes - the `SNES` context

5211:   Output Parameter:
5212: . x - the solution

5214:   Level: intermediate

5216: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5217: @*/
5218: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5219: {
5220:   PetscFunctionBegin;
5222:   PetscAssertPointer(x, 2);
5223:   *x = snes->vec_sol;
5224:   PetscFunctionReturn(PETSC_SUCCESS);
5225: }

5227: /*@
5228:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5229:   stored.

5231:   Not Collective, but `x` is parallel if `snes` is parallel

5233:   Input Parameter:
5234: . snes - the `SNES` context

5236:   Output Parameter:
5237: . x - the solution update

5239:   Level: advanced

5241: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5242: @*/
5243: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5244: {
5245:   PetscFunctionBegin;
5247:   PetscAssertPointer(x, 2);
5248:   *x = snes->vec_sol_update;
5249:   PetscFunctionReturn(PETSC_SUCCESS);
5250: }

5252: /*@
5253:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5255:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5257:   Input Parameter:
5258: . snes - the `SNES` context

5260:   Output Parameters:
5261: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5262: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5263: - ctx - the function context (or `NULL` if you don't want it)

5265:   Level: advanced

5267:   Note:
5268:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5270: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5271: @*/
5272: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5273: {
5274:   DM dm;

5276:   PetscFunctionBegin;
5278:   if (r) {
5279:     if (!snes->vec_func) {
5280:       if (snes->vec_rhs) {
5281:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5282:       } else if (snes->vec_sol) {
5283:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5284:       } else if (snes->dm) {
5285:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5286:       }
5287:     }
5288:     *r = snes->vec_func;
5289:   }
5290:   PetscCall(SNESGetDM(snes, &dm));
5291:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5292:   PetscFunctionReturn(PETSC_SUCCESS);
5293: }

5295: /*@
5296:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5298:   Input Parameter:
5299: . snes - the `SNES` context

5301:   Output Parameters:
5302: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5303: - ctx - the function context (or `NULL`)

5305:   Level: advanced

5307: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5308: @*/
5309: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5310: {
5311:   DM dm;

5313:   PetscFunctionBegin;
5315:   PetscCall(SNESGetDM(snes, &dm));
5316:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5317:   PetscFunctionReturn(PETSC_SUCCESS);
5318: }

5320: /*@
5321:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5322:   `SNES` options in the database.

5324:   Logically Collective

5326:   Input Parameters:
5327: + snes   - the `SNES` context
5328: - prefix - the prefix to prepend to all option names

5330:   Level: advanced

5332:   Note:
5333:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5334:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5336: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5337: @*/
5338: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5339: {
5340:   PetscFunctionBegin;
5342:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5343:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5344:   if (snes->linesearch) {
5345:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5346:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5347:   }
5348:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5349:   PetscFunctionReturn(PETSC_SUCCESS);
5350: }

5352: /*@
5353:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5354:   `SNES` options in the database.

5356:   Logically Collective

5358:   Input Parameters:
5359: + snes   - the `SNES` context
5360: - prefix - the prefix to prepend to all option names

5362:   Level: advanced

5364:   Note:
5365:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5366:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5368: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5369: @*/
5370: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5371: {
5372:   PetscFunctionBegin;
5374:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5375:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5376:   if (snes->linesearch) {
5377:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5378:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5379:   }
5380:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5381:   PetscFunctionReturn(PETSC_SUCCESS);
5382: }

5384: /*@
5385:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5386:   `SNES` options in the database.

5388:   Not Collective

5390:   Input Parameter:
5391: . snes - the `SNES` context

5393:   Output Parameter:
5394: . prefix - pointer to the prefix string used

5396:   Level: advanced

5398: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5399: @*/
5400: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5401: {
5402:   PetscFunctionBegin;
5404:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5405:   PetscFunctionReturn(PETSC_SUCCESS);
5406: }

5408: /*@
5409:   SNESRegister - Adds a method to the nonlinear solver package.

5411:   Not Collective

5413:   Input Parameters:
5414: + sname    - name of a new user-defined solver
5415: - function - routine to create method context

5417:   Level: advanced

5419:   Note:
5420:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5422:   Example Usage:
5423: .vb
5424:    SNESRegister("my_solver", MySolverCreate);
5425: .ve

5427:   Then, your solver can be chosen with the procedural interface via
5428: .vb
5429:   SNESSetType(snes, "my_solver")
5430: .ve
5431:   or at runtime via the option
5432: .vb
5433:   -snes_type my_solver
5434: .ve

5436: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5437: @*/
5438: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5439: {
5440:   PetscFunctionBegin;
5441:   PetscCall(SNESInitializePackage());
5442:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5443:   PetscFunctionReturn(PETSC_SUCCESS);
5444: }

5446: /*@
5447:   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

5449:   Collective

5451:   Input Parameter:
5452: . snes - the `SNES` context

5454:   Level: developer

5456:   Note:
5457:   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.

5459: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESComputeFunction()`
5460: @*/
5461: PetscErrorCode SNESTestLocalMin(SNES snes)
5462: {
5463:   PetscInt    N, i, j;
5464:   Vec         u, uh, fh;
5465:   PetscScalar value;
5466:   PetscReal   norm;

5468:   PetscFunctionBegin;
5469:   PetscCall(SNESGetSolution(snes, &u));
5470:   PetscCall(VecDuplicate(u, &uh));
5471:   PetscCall(VecDuplicate(u, &fh));

5473:   /* currently only works for sequential */
5474:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5475:   PetscCall(VecGetSize(u, &N));
5476:   for (i = 0; i < N; i++) {
5477:     PetscCall(VecCopy(u, uh));
5478:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5479:     for (j = -10; j < 11; j++) {
5480:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5481:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5482:       PetscCall(SNESComputeFunction(snes, uh, fh));
5483:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5484:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5485:       value = -value;
5486:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5487:     }
5488:   }
5489:   PetscCall(VecDestroy(&uh));
5490:   PetscCall(VecDestroy(&fh));
5491:   PetscFunctionReturn(PETSC_SUCCESS);
5492: }

5494: /*@
5495:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5497:   Not Collective

5499:   Input Parameter:
5500: . snes - iterative context obtained from `SNESCreate()`

5502:   Output Parameter:
5503: . linesearch - linesearch context

5505:   Level: beginner

5507:   Notes:
5508:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5510:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5512: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5513: @*/
5514: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5515: {
5516:   const char *optionsprefix;

5518:   PetscFunctionBegin;
5520:   PetscAssertPointer(linesearch, 2);
5521:   if (!snes->linesearch) {
5522:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5523:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5524:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5525:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5526:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5527:   }
5528:   *linesearch = snes->linesearch;
5529:   PetscFunctionReturn(PETSC_SUCCESS);
5530: }

5532: /*@
5533:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5534:   computing relative tolerance for linear solvers within an inexact
5535:   Newton method.

5537:   Logically Collective

5539:   Input Parameters:
5540: + snes - `SNES` context
5541: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5543:   Options Database Keys:
5544: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
5545: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
5546: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
5547: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
5548: . -snes_ksp_ew_gamma gamma         - Sets gamma
5549: . -snes_ksp_ew_alpha alpha         - Sets alpha
5550: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
5551: - -snes_ksp_ew_threshold threshold - Sets threshold

5553:   Level: advanced

5555:   Note:
5556:   The default is to use a constant relative tolerance for
5557:   the inner linear solvers.  Alternatively, one can use the
5558:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5559:   is reset at each Newton iteration according progress of the nonlinear
5560:   solver.

5562: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5563: @*/
5564: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5565: {
5566:   PetscFunctionBegin;
5569:   snes->ksp_ewconv = flag;
5570:   PetscFunctionReturn(PETSC_SUCCESS);
5571: }

5573: /*@
5574:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5575:   for computing relative tolerance for linear solvers within an
5576:   inexact Newton method.

5578:   Not Collective

5580:   Input Parameter:
5581: . snes - `SNES` context

5583:   Output Parameter:
5584: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5586:   Level: advanced

5588: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5589: @*/
5590: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5591: {
5592:   PetscFunctionBegin;
5594:   PetscAssertPointer(flag, 2);
5595:   *flag = snes->ksp_ewconv;
5596:   PetscFunctionReturn(PETSC_SUCCESS);
5597: }

5599: /*@
5600:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5601:   convergence criteria for the linear solvers within an inexact
5602:   Newton method.

5604:   Logically Collective

5606:   Input Parameters:
5607: + snes      - `SNES` context
5608: . version   - version 1, 2 (default is 2), 3 or 4
5609: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5610: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5611: . gamma     - multiplicative factor for version 2 rtol computation
5612:              (0 <= gamma2 <= 1)
5613: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5614: . alpha2    - power for safeguard
5615: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5617:   Level: advanced

5619:   Notes:
5620:   Version 3 was contributed by Luis Chacon, June 2006.

5622:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5624: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5625: @*/
5626: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5627: {
5628:   SNESKSPEW *kctx;

5630:   PetscFunctionBegin;
5632:   kctx = (SNESKSPEW *)snes->kspconvctx;
5633:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5642:   if (version != PETSC_CURRENT) kctx->version = version;
5643:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5644:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5645:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5646:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5647:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5648:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5650:   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);
5651:   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);
5652:   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);
5653:   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);
5654:   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);
5655:   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);
5656:   PetscFunctionReturn(PETSC_SUCCESS);
5657: }

5659: /*@
5660:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5661:   convergence criteria for the linear solvers within an inexact
5662:   Newton method.

5664:   Not Collective

5666:   Input Parameter:
5667: . snes - `SNES` context

5669:   Output Parameters:
5670: + version   - version 1, 2 (default is 2), 3 or 4
5671: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5672: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5673: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5674: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5675: . alpha2    - power for safeguard
5676: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5678:   Level: advanced

5680: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5681: @*/
5682: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5683: {
5684:   SNESKSPEW *kctx;

5686:   PetscFunctionBegin;
5688:   kctx = (SNESKSPEW *)snes->kspconvctx;
5689:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5690:   if (version) *version = kctx->version;
5691:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5692:   if (rtol_max) *rtol_max = kctx->rtol_max;
5693:   if (gamma) *gamma = kctx->gamma;
5694:   if (alpha) *alpha = kctx->alpha;
5695:   if (alpha2) *alpha2 = kctx->alpha2;
5696:   if (threshold) *threshold = kctx->threshold;
5697:   PetscFunctionReturn(PETSC_SUCCESS);
5698: }

5700: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5701: {
5702:   SNES       snes = (SNES)ctx;
5703:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5704:   PetscReal  rtol = PETSC_CURRENT, stol;

5706:   PetscFunctionBegin;
5707:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5708:   if (!snes->iter) {
5709:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5710:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5711:   } else {
5712:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5713:     if (kctx->version == 1) {
5714:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5715:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5716:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5717:     } else if (kctx->version == 2) {
5718:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5719:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5720:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5721:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5722:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5723:       /* safeguard: avoid sharp decrease of rtol */
5724:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5725:       stol = PetscMax(rtol, stol);
5726:       rtol = PetscMin(kctx->rtol_0, stol);
5727:       /* safeguard: avoid oversolving */
5728:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5729:       stol = PetscMax(rtol, stol);
5730:       rtol = PetscMin(kctx->rtol_0, stol);
5731:     } else /* if (kctx->version == 4) */ {
5732:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5733:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5734:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5735:       PetscReal rk   = ared / pred;
5736:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5737:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5738:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5739:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5741:       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;
5742:       kctx->rtol_last_2 = kctx->rtol_last;
5743:       kctx->rk_last_2   = kctx->rk_last;
5744:       kctx->rk_last     = rk;
5745:     }
5746:   }
5747:   /* safeguard: avoid rtol greater than rtol_max */
5748:   rtol = PetscMin(rtol, kctx->rtol_max);
5749:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5750:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5751:   PetscFunctionReturn(PETSC_SUCCESS);
5752: }

5754: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5755: {
5756:   SNES       snes = (SNES)ctx;
5757:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5758:   PCSide     pcside;
5759:   Vec        lres;

5761:   PetscFunctionBegin;
5762:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5763:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5764:   kctx->norm_last = snes->norm;
5765:   if (kctx->version == 1 || kctx->version == 4) {
5766:     PC        pc;
5767:     PetscBool getRes;

5769:     PetscCall(KSPGetPC(ksp, &pc));
5770:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5771:     if (!getRes) {
5772:       KSPNormType normtype;

5774:       PetscCall(KSPGetNormType(ksp, &normtype));
5775:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5776:     }
5777:     PetscCall(KSPGetPCSide(ksp, &pcside));
5778:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5779:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5780:     } else {
5781:       /* KSP residual is preconditioned residual */
5782:       /* compute true linear residual norm */
5783:       Mat J;
5784:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5785:       PetscCall(VecDuplicate(b, &lres));
5786:       PetscCall(MatMult(J, x, lres));
5787:       PetscCall(VecAYPX(lres, -1.0, b));
5788:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5789:       PetscCall(VecDestroy(&lres));
5790:     }
5791:   }
5792:   PetscFunctionReturn(PETSC_SUCCESS);
5793: }

5795: #include <petsc/private/kspimpl.h>
5796: /*@
5797:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5799:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5801:   Input Parameter:
5802: . snes - the `SNES` context

5804:   Output Parameter:
5805: . ksp - the `KSP` context

5807:   Level: beginner

5809:   Notes:
5810:   The user can then directly manipulate the `KSP` context to set various
5811:   options, etc.  Likewise, the user can then extract and manipulate the
5812:   `PC` contexts as well.

5814:   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.

5816: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5817: @*/
5818: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5819: {
5820:   PetscFunctionBegin;
5822:   PetscAssertPointer(ksp, 2);

5824:   if (!snes->ksp) {
5825:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5826:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5828:     snes->ksp->presolve_ew  = KSPPreSolve_SNESEW;
5829:     snes->ksp->prectx_ew    = snes;
5830:     snes->ksp->postsolve_ew = KSPPostSolve_SNESEW;
5831:     snes->ksp->postctx_ew   = snes;

5833:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5834:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5835:   }
5836:   *ksp = snes->ksp;
5837:   PetscFunctionReturn(PETSC_SUCCESS);
5838: }

5840: #include <petsc/private/dmimpl.h>
5841: /*@
5842:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5844:   Logically Collective

5846:   Input Parameters:
5847: + snes - the nonlinear solver context
5848: - dm   - the `DM`, cannot be `NULL`

5850:   Level: intermediate

5852:   Note:
5853:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5854:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5855:   problems using the same function space.

5857: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5858: @*/
5859: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5860: {
5861:   KSP    ksp;
5862:   DMSNES sdm;
5863:   DM     odm;

5865:   PetscFunctionBegin;
5868:   PetscCall(PetscObjectReference((PetscObject)dm));
5869:   odm = snes->dm;
5870:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5871:     if (snes->dm->dmsnes && !dm->dmsnes) {
5872:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5873:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5874:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5875:     }
5876:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5877:     PetscCall(DMDestroy(&snes->dm));
5878:   }
5879:   snes->dm     = dm;
5880:   snes->dmAuto = PETSC_FALSE;

5882:   PetscCall(SNESGetKSP(snes, &ksp));
5883:   PetscCall(KSPSetDM(ksp, dm));
5884:   PetscCall(KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE));
5885:   /* Propagate DM to NPC if npc does not have one yet or
5886:      if it has the same DM SNES had before (like for gridsequencing) */
5887:   if (snes->npc && (!snes->npc->dm || snes->npc->dm == odm)) PetscCall(SNESSetDM(snes->npc, snes->dm));
5888:   PetscFunctionReturn(PETSC_SUCCESS);
5889: }

5891: /*@
5892:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5894:   Not Collective but `dm` obtained is parallel on `snes`

5896:   Input Parameter:
5897: . snes - the `SNES` context

5899:   Output Parameter:
5900: . dm - the `DM`

5902:   Level: intermediate

5904: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5905: @*/
5906: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5907: {
5908:   PetscFunctionBegin;
5910:   if (!snes->dm) {
5911:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5912:     snes->dmAuto = PETSC_TRUE;
5913:   }
5914:   *dm = snes->dm;
5915:   PetscFunctionReturn(PETSC_SUCCESS);
5916: }

5918: /*@
5919:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5921:   Collective

5923:   Input Parameters:
5924: + snes - iterative context obtained from `SNESCreate()`
5925: - npc  - the `SNES` nonlinear preconditioner object

5927:   Level: developer

5929:   Notes:
5930:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5932:   Only some `SNESType` can use a nonlinear preconditioner

5934: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5935: @*/
5936: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5937: {
5938:   PetscFunctionBegin;
5941:   PetscCheckSameComm(snes, 1, npc, 2);
5942:   PetscCall(PetscObjectReference((PetscObject)npc));
5943:   PetscCall(SNESDestroy(&snes->npc));
5944:   snes->npc = npc;
5945:   PetscFunctionReturn(PETSC_SUCCESS);
5946: }

5948: /*@
5949:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5951:   Collective the first time it is called if the `SNES` has no NPC set.

5953:   Input Parameter:
5954: . snes - iterative context obtained from `SNESCreate()`

5956:   Output Parameter:
5957: . npc - the `SNES` preconditioner context

5959:   Options Database Key:
5960: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5962:   Level: advanced

5964:   Notes:
5965:   If a `SNES` was previously set with `SNESSetNPC()` then that object is returned, otherwise a new `SNES` object is created that will
5966:   be used as the nonlinear preconditioner for the current `SNES` if no nonlinear preconditioner is present.

5968:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5969:   `SNES`. These may be overwritten if needed by calling `SNESSetDM()` on the nonlinear preconditioner followed by `SNESSetFunction()`
5970:   and `SNESSetJacobian()`.

5972:   The default preconditioner uses the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration.

5974: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5975: @*/
5976: PetscErrorCode SNESGetNPC(SNES snes, SNES *npc)
5977: {
5978:   const char *optionsprefix;

5980:   PetscFunctionBegin;
5982:   PetscAssertPointer(npc, 2);
5983:   if (!snes->npc) {
5984:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5985:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5986:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5987:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5988:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5989:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5990:     PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_DEFAULT));

5992:     /* default to 1 iteration */
5993:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
5994:   }
5995:   *npc = snes->npc;
5996:   PetscFunctionReturn(PETSC_SUCCESS);
5997: }

5999: /*@
6000:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

6002:   Not Collective

6004:   Input Parameter:
6005: . snes - iterative context obtained from `SNESCreate()`

6007:   Output Parameter:
6008: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

6010:   Level: developer

6012: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
6013: @*/
6014: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
6015: {
6016:   PetscFunctionBegin;
6018:   PetscAssertPointer(has_npc, 2);
6019:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
6020:   PetscFunctionReturn(PETSC_SUCCESS);
6021: }

6023: /*@
6024:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

6026:   Logically Collective

6028:   Input Parameter:
6029: . snes - iterative context obtained from `SNESCreate()`

6031:   Output Parameter:
6032: . side - the preconditioning side, where side is one of
6033: .vb
6034:       PC_LEFT  - left preconditioning
6035:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
6036: .ve

6038:   Options Database Key:
6039: . -snes_npc_side (right|left) - nonlinear preconditioner side

6041:   Level: intermediate

6043:   Note:
6044:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

6046: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
6047: @*/
6048: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
6049: {
6050:   PetscFunctionBegin;
6053:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
6054:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
6055:   snes->npcside = side;
6056:   PetscFunctionReturn(PETSC_SUCCESS);
6057: }

6059: /*@
6060:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

6062:   Not Collective

6064:   Input Parameter:
6065: . snes - iterative context obtained from `SNESCreate()`

6067:   Output Parameter:
6068: . side - the preconditioning side, where side is one of
6069: .vb
6070:       `PC_LEFT` - left preconditioning
6071:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
6072: .ve

6074:   Level: intermediate

6076: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
6077: @*/
6078: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
6079: {
6080:   PetscFunctionBegin;
6082:   PetscAssertPointer(side, 2);
6083:   *side = snes->npcside;
6084:   PetscFunctionReturn(PETSC_SUCCESS);
6085: }

6087: /*@
6088:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

6090:   Collective

6092:   Input Parameters:
6093: + snes       - iterative context obtained from `SNESCreate()`
6094: - linesearch - the linesearch object

6096:   Level: developer

6098:   Note:
6099:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
6100:   to configure it using the API).

6102: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
6103: @*/
6104: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
6105: {
6106:   PetscFunctionBegin;
6109:   PetscCheckSameComm(snes, 1, linesearch, 2);
6110:   PetscCall(PetscObjectReference((PetscObject)linesearch));
6111:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

6113:   snes->linesearch = linesearch;
6114:   PetscFunctionReturn(PETSC_SUCCESS);
6115: }