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 defined(PETSC_HAVE_SAWS)
323: #include <petscviewersaws.h>
324: #endif

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

329:   Collective

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

336:   Options Database Key:
337: . -name [viewertype][:...] - option name and values. See `PetscObjectViewFromOptions()` for the possible arguments

339:   Level: intermediate

341: .seealso: [](ch_snes), `SNES`, `SNESView`, `PetscObjectViewFromOptions()`, `SNESCreate()`
342: @*/
343: PetscErrorCode SNESViewFromOptions(SNES A, PetscObject obj, const char name[])
344: {
345:   PetscFunctionBegin;
347:   PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
348:   PetscFunctionReturn(PETSC_SUCCESS);
349: }

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

353: /*@
354:   SNESView - Prints or visualizes the `SNES` data structure.

356:   Collective

358:   Input Parameters:
359: + snes   - the `SNES` context
360: - viewer - the `PetscViewer`

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

365:   Level: beginner

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

375:   The available formats include
376: +     `PETSC_VIEWER_DEFAULT` - standard output (default)
377: -     `PETSC_VIEWER_ASCII_INFO_DETAIL` - more verbose output for `SNESNASM`

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

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

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

397:   PetscFunctionBegin;
399:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &viewer));
401:   PetscCheckSameComm(snes, 1, viewer, 2);

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

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

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

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

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

517:       PetscCall(PetscObjectViewSAWs((PetscObject)snes, viewer));
518:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/its", name));
519:       PetscCallSAWs(SAWs_Register, (dir, &snes->iter, 1, SAWs_READ, SAWs_INT));
520:       if (!snes->conv_hist) PetscCall(SNESSetConvergenceHistory(snes, NULL, NULL, PETSC_DECIDE, PETSC_TRUE));
521:       PetscCall(PetscSNPrintf(dir, 1024, "/PETSc/Objects/%s/conv_hist", name));
522:       PetscCallSAWs(SAWs_Register, (dir, snes->conv_hist, 10, SAWs_READ, SAWs_DOUBLE));
523:     }
524: #endif
525:   }
526:   if (snes->linesearch) {
527:     PetscCall(SNESGetLineSearch(snes, &linesearch));
528:     PetscCall(PetscViewerASCIIPushTab(viewer));
529:     PetscCall(SNESLineSearchView(linesearch, viewer));
530:     PetscCall(PetscViewerASCIIPopTab(viewer));
531:   }
532:   if (snes->npc && snes->usesnpc) {
533:     PetscCall(PetscViewerASCIIPushTab(viewer));
534:     PetscCall(SNESView(snes->npc, viewer));
535:     PetscCall(PetscViewerASCIIPopTab(viewer));
536:   }
537:   PetscCall(PetscViewerASCIIPushTab(viewer));
538:   PetscCall(DMGetDMSNES(snes->dm, &dmsnes));
539:   PetscCall(DMSNESView(dmsnes, viewer));
540:   PetscCall(PetscViewerASCIIPopTab(viewer));
541:   if (snes->usesksp) {
542:     PetscCall(SNESGetKSP(snes, &ksp));
543:     PetscCall(PetscViewerASCIIPushTab(viewer));
544:     PetscCall(KSPView(ksp, viewer));
545:     PetscCall(PetscViewerASCIIPopTab(viewer));
546:   }
547:   if (isdraw) {
548:     PetscDraw draw;
549:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
550:     PetscCall(PetscDrawPopCurrentPoint(draw));
551:   }
552:   PetscFunctionReturn(PETSC_SUCCESS);
553: }

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

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

566:   Not Collective

568:   Input Parameter:
569: . snescheck - function that checks for options

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

574:   Level: developer

576: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
577: @*/
578: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
579: {
580:   PetscFunctionBegin;
581:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
582:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
583:   PetscFunctionReturn(PETSC_SUCCESS);
584: }

586: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
587: {
588:   Mat          J;
589:   MatNullSpace nullsp;

591:   PetscFunctionBegin;

594:   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
595:     Mat A = snes->jacobian, B = snes->jacobian_pre;
596:     PetscCall(MatCreateVecs(A ? A : B, NULL, &snes->vec_func));
597:   }

599:   PetscCheck(version == 1 || version == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "matrix-free operator routines, only version 1 and 2");
600:   if (version == 1) {
601:     PetscCall(MatCreateSNESMF(snes, &J));
602:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
603:     PetscCall(MatSetFromOptions(J));
604:     /* TODO: the version 2 code should be merged into the MatCreateSNESMF() and MatCreateMFFD() infrastructure and then removed */
605:   } else /* if (version == 2) */ {
606:     PetscCheck(snes->vec_func, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "SNESSetFunction() must be called first");
607: #if !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128) && !defined(PETSC_USE_REAL___FP16)
608:     PetscCall(MatCreateSNESMFMore(snes, snes->vec_func, &J));
609: #else
610:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix-free operator routines (version 2)");
611: #endif
612:   }

614:   /* attach any user provided null space that was on Amat to the newly created matrix-free matrix */
615:   if (snes->jacobian) {
616:     PetscCall(MatGetNullSpace(snes->jacobian, &nullsp));
617:     if (nullsp) PetscCall(MatSetNullSpace(J, nullsp));
618:   }

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

635:       PetscCall(SNESSetJacobian(snes, J, J, MatMFFDComputeJacobian, NULL));
636:       /* Force no preconditioner */
637:       PetscCall(SNESGetKSP(snes, &ksp));
638:       PetscCall(KSPGetPC(ksp, &pc));
639:       PetscCall(PetscObjectTypeCompareAny((PetscObject)pc, &match, PCSHELL, PCH2OPUS, ""));
640:       if (!match) {
641:         PetscCall(PetscInfo(snes, "Setting default matrix-free preconditioner routines\nThat is no preconditioner is being used\n"));
642:         PetscCall(PCSetType(pc, PCNONE));
643:       }
644:     }
645:   }
646:   PetscCall(MatDestroy(&J));
647:   PetscFunctionReturn(PETSC_SUCCESS);
648: }

650: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, PetscCtx ctx)
651: {
652:   SNES snes = (SNES)ctx;
653:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

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

681: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, PetscCtx ctx)
682: {
683:   PetscFunctionBegin;
684:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
685:   PetscFunctionReturn(PETSC_SUCCESS);
686: }

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

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

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

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

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

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

737:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
738:   snes->dm = dmsave;
739:   PetscFunctionReturn(PETSC_SUCCESS);
740: }

742: /*@
743:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

745:   Collective

747:   Input Parameter:
748: . snes - `SNES` object to configure

750:   Level: developer

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

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

760: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
761: @*/
762: PetscErrorCode SNESSetUpMatrices(SNES snes)
763: {
764:   DM     dm;
765:   DMSNES sdm;

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

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

813: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, PetscCtx);

815: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
816: {
817:   PetscFunctionBegin;
818:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
819:   PetscCall(PetscMonitorPauseFinal_Internal(snes->numbermonitors, snes->monitorcontext));
820:   PetscFunctionReturn(PETSC_SUCCESS);
821: }

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

826:   Collective

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

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

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

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

849:   Level: advanced

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

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

877: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
878: {
879:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

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

902: /*@
903:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

905:   Collective

907:   Input Parameter:
908: . snes - the `SNES` context

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

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

955:   Level: beginner

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

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

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

978:   PetscFunctionBegin;
980:   PetscCall(SNESRegisterAll());
981:   PetscObjectOptionsBegin((PetscObject)snes);
982:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
983:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, 256, &flg));
984:   if (flg) PetscCall(SNESSetType(snes, type));
985:   else if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, deft));

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

999:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, &flg));
1000:   if (flg) PetscCall(SNESSetDivergenceTolerance(snes, snes->divtol));

1002:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
1003:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1005:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1006:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1008:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1009:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1010:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1012:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1013:   if (flg) {
1014:     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");
1015:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1016:   }
1017:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1018:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1019:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1020:   if (flg) {
1021:     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");
1022:     PetscCall(SNESSetLagJacobian(snes, lag));
1023:   }
1024:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1025:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1027:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1028:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1030:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1031:   if (flg) {
1032:     switch (indx) {
1033:     case 0:
1034:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1035:       break;
1036:     case 1:
1037:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1038:       break;
1039:     case 2:
1040:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1041:       break;
1042:     }
1043:   }

1045:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1046:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1048:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1049:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1051:   kctx = (SNESKSPEW *)snes->kspconvctx;

1053:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1055:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1056:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1057:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1059:   flg = PETSC_FALSE;
1060:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1061:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1063:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1064:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1065:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1068:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1069:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1070:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1071:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1072:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1073:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1074:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1076:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1077:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1079:   flg = PETSC_FALSE;
1080:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1081:   if (flg) {
1082:     PetscViewer ctx;

1084:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1085:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1086:   }

1088:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1089:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1090:   flg = PETSC_FALSE;
1091:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1092:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1094:   flg = PETSC_FALSE;
1095:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1096:   if (flg) {
1097:     void *functx;
1098:     DM    dm;
1099:     PetscCall(SNESGetDM(snes, &dm));
1100:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1101:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1102:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1103:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1104:   }

1106:   flg = PETSC_FALSE;
1107:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1108:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1110:   flg = PETSC_FALSE;
1111:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1112:   if (flg) {
1113:     DM dm;
1114:     PetscCall(SNESGetDM(snes, &dm));
1115:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1116:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1117:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1118:   }

1120:   flg = PETSC_FALSE;
1121:   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));
1122:   if (flg && snes->mf_operator) {
1123:     snes->mf_operator = PETSC_TRUE;
1124:     snes->mf          = PETSC_TRUE;
1125:   }
1126:   flg = PETSC_FALSE;
1127:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1128:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1129:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1131:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1132:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1134:   flg = PETSC_FALSE;
1135:   PetscCall(SNESGetNPCSide(snes, &pcside));
1136:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1137:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1139: #if defined(PETSC_HAVE_SAWS)
1140:   /*
1141:     Publish convergence information using SAWs
1142:   */
1143:   flg = PETSC_FALSE;
1144:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1145:   if (flg) {
1146:     PetscCtx ctx;
1147:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1148:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1149:   }
1150: #endif
1151: #if defined(PETSC_HAVE_SAWS)
1152:   {
1153:     PetscBool set;
1154:     flg = PETSC_FALSE;
1155:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1156:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1157:   }
1158: #endif

1160:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1162:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1164:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1165:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1166:   PetscOptionsEnd();

1168:   if (snes->linesearch) {
1169:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1170:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1171:   }

1173:   if (snes->usesksp) {
1174:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1175:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1176:     PetscCall(KSPSetFromOptions(snes->ksp));
1177:   }

1179:   /* if user has set the SNES NPC type via options database, create it. */
1180:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1181:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1182:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1183:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1184:   snes->setfromoptionscalled++;
1185:   PetscFunctionReturn(PETSC_SUCCESS);
1186: }

1188: /*@
1189:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1191:   Collective

1193:   Input Parameter:
1194: . snes - the `SNES` context

1196:   Level: advanced

1198: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1199: @*/
1200: PetscErrorCode SNESResetFromOptions(SNES snes)
1201: {
1202:   PetscFunctionBegin;
1203:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1204:   PetscFunctionReturn(PETSC_SUCCESS);
1205: }

1207: /*@C
1208:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1209:   the nonlinear solvers.

1211:   Logically Collective; No Fortran Support

1213:   Input Parameters:
1214: + snes    - the `SNES` context
1215: . compute - function to compute the context
1216: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1218:   Calling sequence of `compute`:
1219: + snes - the `SNES` context
1220: - ctx  - context to be computed

1222:   Level: intermediate

1224:   Note:
1225:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1227:   Use `SNESSetApplicationContext()` to see the context immediately

1229: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1230: @*/
1231: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1232: {
1233:   PetscFunctionBegin;
1235:   snes->ops->ctxcompute = compute;
1236:   snes->ops->ctxdestroy = destroy;
1237:   PetscFunctionReturn(PETSC_SUCCESS);
1238: }

1240: /*@
1241:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1243:   Logically Collective

1245:   Input Parameters:
1246: + snes - the `SNES` context
1247: - ctx  - the application context

1249:   Level: intermediate

1251:   Notes:
1252:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1253:   with `SNESGetApplicationContext()`

1255:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1257:   Fortran Note:
1258:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1259:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1260:   an example.

1262: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1263: @*/
1264: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1265: {
1266:   KSP ksp;

1268:   PetscFunctionBegin;
1270:   PetscCall(SNESGetKSP(snes, &ksp));
1271:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1272:   snes->ctx = ctx;
1273:   PetscFunctionReturn(PETSC_SUCCESS);
1274: }

1276: /*@
1277:   SNESGetApplicationContext - Gets the user-defined context for the
1278:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1280:   Not Collective

1282:   Input Parameter:
1283: . snes - `SNES` context

1285:   Output Parameter:
1286: . ctx - the application context

1288:   Level: intermediate

1290:   Fortran Notes:
1291:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1292: .vb
1293:   type(tUsertype), pointer :: ctx
1294: .ve

1296: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1297: @*/
1298: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1299: {
1300:   PetscFunctionBegin;
1302:   *(void **)ctx = snes->ctx;
1303:   PetscFunctionReturn(PETSC_SUCCESS);
1304: }

1306: /*@
1307:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1309:   Logically Collective

1311:   Input Parameters:
1312: + snes        - `SNES` context
1313: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1314: - 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
1315:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1317:   Options Database Keys:
1318: + -snes_mf_operator - use matrix-free only for the mat operator
1319: . -snes_mf          - use matrix-free for both the mat and pmat operator
1320: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1321: - -snes_fd          - compute the Jacobian via finite differences (slow)

1323:   Level: intermediate

1325:   Note:
1326:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1327:   and computing explicitly with
1328:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1330: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1331: @*/
1332: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1333: {
1334:   PetscFunctionBegin;
1338:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1339:   snes->mf_operator = mf_operator;
1340:   PetscFunctionReturn(PETSC_SUCCESS);
1341: }

1343: /*@
1344:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1346:   Not Collective, but the resulting flags will be the same on all MPI processes

1348:   Input Parameter:
1349: . snes - `SNES` context

1351:   Output Parameters:
1352: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1353: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1355:   Level: intermediate

1357: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1358: @*/
1359: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1360: {
1361:   PetscFunctionBegin;
1363:   if (mf) *mf = snes->mf;
1364:   if (mf_operator) *mf_operator = snes->mf_operator;
1365:   PetscFunctionReturn(PETSC_SUCCESS);
1366: }

1368: /*@
1369:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1371:   Not Collective

1373:   Input Parameter:
1374: . snes - `SNES` context

1376:   Output Parameter:
1377: . iter - iteration number

1379:   Level: intermediate

1381:   Notes:
1382:   For example, during the computation of iteration 2 this would return 1.

1384:   This is useful for using lagged Jacobians (where one does not recompute the
1385:   Jacobian at each `SNES` iteration). For example, the code
1386: .vb
1387:       ierr = SNESGetIterationNumber(snes,&it);
1388:       if (!(it % 2)) {
1389:         [compute Jacobian here]
1390:       }
1391: .ve
1392:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1393:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1395:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1397: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1398: @*/
1399: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1400: {
1401:   PetscFunctionBegin;
1403:   PetscAssertPointer(iter, 2);
1404:   *iter = snes->iter;
1405:   PetscFunctionReturn(PETSC_SUCCESS);
1406: }

1408: /*@
1409:   SNESSetIterationNumber - Sets the current iteration number.

1411:   Not Collective

1413:   Input Parameters:
1414: + snes - `SNES` context
1415: - iter - iteration number

1417:   Level: developer

1419:   Note:
1420:   This should only be called inside a `SNES` nonlinear solver.

1422: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1423: @*/
1424: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1425: {
1426:   PetscFunctionBegin;
1428:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1429:   snes->iter = iter;
1430:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1431:   PetscFunctionReturn(PETSC_SUCCESS);
1432: }

1434: /*@
1435:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1436:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1438:   Not Collective

1440:   Input Parameter:
1441: . snes - `SNES` context

1443:   Output Parameter:
1444: . nfails - number of unsuccessful steps attempted

1446:   Level: intermediate

1448:   Notes:
1449:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1450:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1452:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1453:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1455:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1457:   This counter is reset to zero for each successive call to `SNESSolve()`.

1459: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1460:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1461: @*/
1462: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1463: {
1464:   PetscFunctionBegin;
1466:   PetscAssertPointer(nfails, 2);
1467:   *nfails = snes->numFailures;
1468:   PetscFunctionReturn(PETSC_SUCCESS);
1469: }

1471: /*@
1472:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1473:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1475:   Not Collective

1477:   Input Parameters:
1478: + snes     - `SNES` context
1479: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1481:   Options Database Key:
1482: . -snes_max_fail n - maximum number of unsuccessful steps allowed

1484:   Level: intermediate

1486:   Note:
1487:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1488:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1490:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1491:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1493:   Developer Note:
1494:   The options database key is wrong for this function name

1496: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1497:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1498: @*/
1499: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1500: {
1501:   PetscFunctionBegin;

1504:   if (maxFails == PETSC_UNLIMITED) {
1505:     snes->maxFailures = PETSC_INT_MAX;
1506:   } else {
1507:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1508:     snes->maxFailures = maxFails;
1509:   }
1510:   PetscFunctionReturn(PETSC_SUCCESS);
1511: }

1513: /*@
1514:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1515:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1517:   Not Collective

1519:   Input Parameter:
1520: . snes - `SNES` context

1522:   Output Parameter:
1523: . maxFails - maximum of unsuccessful steps

1525:   Level: intermediate

1527: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1528:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1529: @*/
1530: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1531: {
1532:   PetscFunctionBegin;
1534:   PetscAssertPointer(maxFails, 2);
1535:   *maxFails = snes->maxFailures;
1536:   PetscFunctionReturn(PETSC_SUCCESS);
1537: }

1539: /*@
1540:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1541:   done by the `SNES` object in the current or most recent `SNESSolve()`

1543:   Not Collective

1545:   Input Parameter:
1546: . snes - `SNES` context

1548:   Output Parameter:
1549: . nfuncs - number of evaluations

1551:   Level: intermediate

1553:   Note:
1554:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1556: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1557: @*/
1558: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1559: {
1560:   PetscFunctionBegin;
1562:   PetscAssertPointer(nfuncs, 2);
1563:   *nfuncs = snes->nfuncs;
1564:   PetscFunctionReturn(PETSC_SUCCESS);
1565: }

1567: /*@
1568:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1569:   linear solvers in the current or most recent `SNESSolve()`

1571:   Not Collective

1573:   Input Parameter:
1574: . snes - `SNES` context

1576:   Output Parameter:
1577: . nfails - number of failed solves

1579:   Options Database Key:
1580: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1582:   Level: intermediate

1584:   Note:
1585:   This counter is reset to zero for each successive call to `SNESSolve()`.

1587: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1588: @*/
1589: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1590: {
1591:   PetscFunctionBegin;
1593:   PetscAssertPointer(nfails, 2);
1594:   *nfails = snes->numLinearSolveFailures;
1595:   PetscFunctionReturn(PETSC_SUCCESS);
1596: }

1598: /*@
1599:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1600:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1602:   Logically Collective

1604:   Input Parameters:
1605: + snes     - `SNES` context
1606: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1608:   Options Database Key:
1609: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1611:   Level: intermediate

1613:   Note:
1614:   By default this is 0; that is `SNES` returns on the first failed linear solve

1616:   Developer Note:
1617:   The options database key is wrong for this function name

1619: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1620: @*/
1621: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1622: {
1623:   PetscFunctionBegin;

1627:   if (maxFails == PETSC_UNLIMITED) {
1628:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1629:   } else {
1630:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1631:     snes->maxLinearSolveFailures = maxFails;
1632:   }
1633:   PetscFunctionReturn(PETSC_SUCCESS);
1634: }

1636: /*@
1637:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1638:   are allowed before `SNES` returns as unsuccessful

1640:   Not Collective

1642:   Input Parameter:
1643: . snes - `SNES` context

1645:   Output Parameter:
1646: . maxFails - maximum of unsuccessful solves allowed

1648:   Level: intermediate

1650:   Note:
1651:   By default this is 1; that is `SNES` returns on the first failed linear solve

1653: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1654: @*/
1655: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1656: {
1657:   PetscFunctionBegin;
1659:   PetscAssertPointer(maxFails, 2);
1660:   *maxFails = snes->maxLinearSolveFailures;
1661:   PetscFunctionReturn(PETSC_SUCCESS);
1662: }

1664: /*@
1665:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1666:   used by the nonlinear solver in the most recent `SNESSolve()`

1668:   Not Collective

1670:   Input Parameter:
1671: . snes - `SNES` context

1673:   Output Parameter:
1674: . lits - number of linear iterations

1676:   Level: intermediate

1678:   Notes:
1679:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1681:   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
1682:   then call `KSPGetIterationNumber()` after the failed solve.

1684: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1685: @*/
1686: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1687: {
1688:   PetscFunctionBegin;
1690:   PetscAssertPointer(lits, 2);
1691:   *lits = snes->linear_its;
1692:   PetscFunctionReturn(PETSC_SUCCESS);
1693: }

1695: /*@
1696:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1697:   are reset every time `SNESSolve()` is called.

1699:   Logically Collective

1701:   Input Parameters:
1702: + snes  - `SNES` context
1703: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1705:   Level: developer

1707: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1708: @*/
1709: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1710: {
1711:   PetscFunctionBegin;
1714:   snes->counters_reset = reset;
1715:   PetscFunctionReturn(PETSC_SUCCESS);
1716: }

1718: /*@
1719:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1721:   Logically Collective

1723:   Input Parameters:
1724: . snes - `SNES` context

1726:   Level: developer

1728:   Note:
1729:   It honors the flag set with `SNESSetCountersReset()`

1731: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1732: @*/
1733: PetscErrorCode SNESResetCounters(SNES snes)
1734: {
1735:   PetscFunctionBegin;
1737:   if (snes->counters_reset) {
1738:     snes->nfuncs      = 0;
1739:     snes->linear_its  = 0;
1740:     snes->numFailures = 0;
1741:   }
1742:   PetscFunctionReturn(PETSC_SUCCESS);
1743: }

1745: /*@
1746:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1748:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1750:   Input Parameters:
1751: + snes - the `SNES` context
1752: - ksp  - the `KSP` context

1754:   Level: developer

1756:   Notes:
1757:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1758:   so this routine is rarely needed.

1760:   The `KSP` object that is already in the `SNES` object has its reference count
1761:   decreased by one when this is called.

1763: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1764: @*/
1765: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1766: {
1767:   PetscFunctionBegin;
1770:   PetscCheckSameComm(snes, 1, ksp, 2);
1771:   PetscCall(PetscObjectReference((PetscObject)ksp));
1772:   PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1773:   snes->ksp = ksp;
1774:   PetscFunctionReturn(PETSC_SUCCESS);
1775: }

1777: /*@
1778:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1779:   currently contain default values

1781:   Collective

1783:   Input Parameter:
1784: . snes - the `SNES` object

1786:   Level: developer

1788:   Developer Note:
1789:   This is called by all the `SNESCreate_XXX()` routines.

1791: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1792:           `PetscObjectParameterSetDefault()`
1793: @*/
1794: PetscErrorCode SNESParametersInitialize(SNES snes)
1795: {
1796:   PetscObjectParameterSetDefault(snes, max_its, 50);
1797:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1798:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1799:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1800:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1801:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1802:   return PETSC_SUCCESS;
1803: }

1805: /*@
1806:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1808:   Collective

1810:   Input Parameter:
1811: . comm - MPI communicator

1813:   Output Parameter:
1814: . outsnes - the new `SNES` context

1816:   Options Database Keys:
1817: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1818: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1819: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1820: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1822:   Level: beginner

1824:   Developer Notes:
1825:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1826:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1827:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1828:   in `SNESView()`.

1830:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1831:   by help messages about meaningless `SNES` options.

1833:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1835: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1836: @*/
1837: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1838: {
1839:   SNES       snes;
1840:   SNESKSPEW *kctx;

1842:   PetscFunctionBegin;
1843:   PetscAssertPointer(outsnes, 2);
1844:   PetscCall(SNESInitializePackage());

1846:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1847:   snes->ops->converged = SNESConvergedDefault;
1848:   snes->usesksp        = PETSC_TRUE;
1849:   snes->norm           = 0.0;
1850:   snes->xnorm          = 0.0;
1851:   snes->ynorm          = 0.0;
1852:   snes->normschedule   = SNES_NORM_ALWAYS;
1853:   snes->functype       = SNES_FUNCTION_DEFAULT;
1854:   snes->ttol           = 0.0;

1856:   snes->rnorm0               = 0;
1857:   snes->nfuncs               = 0;
1858:   snes->numFailures          = 0;
1859:   snes->maxFailures          = 1;
1860:   snes->linear_its           = 0;
1861:   snes->lagjacobian          = 1;
1862:   snes->jac_iter             = 0;
1863:   snes->lagjac_persist       = PETSC_FALSE;
1864:   snes->lagpreconditioner    = 1;
1865:   snes->pre_iter             = 0;
1866:   snes->lagpre_persist       = PETSC_FALSE;
1867:   snes->numbermonitors       = 0;
1868:   snes->numberreasonviews    = 0;
1869:   snes->data                 = NULL;
1870:   snes->setupcalled          = PETSC_FALSE;
1871:   snes->ksp_ewconv           = PETSC_FALSE;
1872:   snes->nwork                = 0;
1873:   snes->work                 = NULL;
1874:   snes->nvwork               = 0;
1875:   snes->vwork                = NULL;
1876:   snes->conv_hist_len        = 0;
1877:   snes->conv_hist_max        = 0;
1878:   snes->conv_hist            = NULL;
1879:   snes->conv_hist_its        = NULL;
1880:   snes->conv_hist_reset      = PETSC_TRUE;
1881:   snes->counters_reset       = PETSC_TRUE;
1882:   snes->vec_func_init_set    = PETSC_FALSE;
1883:   snes->reason               = SNES_CONVERGED_ITERATING;
1884:   snes->npcside              = PC_RIGHT;
1885:   snes->setfromoptionscalled = 0;

1887:   snes->mf          = PETSC_FALSE;
1888:   snes->mf_operator = PETSC_FALSE;
1889:   snes->mf_version  = 1;

1891:   snes->numLinearSolveFailures = 0;
1892:   snes->maxLinearSolveFailures = 1;

1894:   snes->vizerotolerance     = 1.e-8;
1895:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1897:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1898:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1900:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1901:   PetscCall(PetscNew(&kctx));

1903:   snes->kspconvctx  = kctx;
1904:   kctx->version     = 2;
1905:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1906:                              this was too large for some test cases */
1907:   kctx->rtol_last   = 0.0;
1908:   kctx->rtol_max    = 0.9;
1909:   kctx->gamma       = 1.0;
1910:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1911:   kctx->alpha2      = kctx->alpha;
1912:   kctx->threshold   = 0.1;
1913:   kctx->lresid_last = 0.0;
1914:   kctx->norm_last   = 0.0;

1916:   kctx->rk_last     = 0.0;
1917:   kctx->rk_last_2   = 0.0;
1918:   kctx->rtol_last_2 = 0.0;
1919:   kctx->v4_p1       = 0.1;
1920:   kctx->v4_p2       = 0.4;
1921:   kctx->v4_p3       = 0.7;
1922:   kctx->v4_m1       = 0.8;
1923:   kctx->v4_m2       = 0.5;
1924:   kctx->v4_m3       = 0.1;
1925:   kctx->v4_m4       = 0.5;

1927:   PetscCall(SNESParametersInitialize(snes));
1928:   *outsnes = snes;
1929:   PetscFunctionReturn(PETSC_SUCCESS);
1930: }

1932: /*@C
1933:   SNESSetFunction - Sets the function evaluation routine and function
1934:   vector for use by the `SNES` routines in solving systems of nonlinear
1935:   equations.

1937:   Logically Collective

1939:   Input Parameters:
1940: + snes - the `SNES` context
1941: . r    - vector to store function values, may be `NULL`
1942: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1943: - ctx  - [optional] user-defined context for private data for the
1944:          function evaluation routine (may be `NULL`)

1946:   Level: beginner

1948: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1949: @*/
1950: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1951: {
1952:   DM dm;

1954:   PetscFunctionBegin;
1956:   if (r) {
1958:     PetscCheckSameComm(snes, 1, r, 2);
1959:     PetscCall(PetscObjectReference((PetscObject)r));
1960:     PetscCall(VecDestroy(&snes->vec_func));
1961:     snes->vec_func = r;
1962:   }
1963:   PetscCall(SNESGetDM(snes, &dm));
1964:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1965:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1966:   PetscFunctionReturn(PETSC_SUCCESS);
1967: }

1969: /*@C
1970:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1972:   Logically Collective

1974:   Input Parameters:
1975: + snes - the `SNES` context
1976: - f    - vector to store function value

1978:   Level: developer

1980:   Notes:
1981:   This should not be modified during the solution procedure.

1983:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1985: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1986: @*/
1987: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1988: {
1989:   Vec vec_func;

1991:   PetscFunctionBegin;
1994:   PetscCheckSameComm(snes, 1, f, 2);
1995:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1996:     snes->vec_func_init_set = PETSC_FALSE;
1997:     PetscFunctionReturn(PETSC_SUCCESS);
1998:   }
1999:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
2000:   PetscCall(VecCopy(f, vec_func));

2002:   snes->vec_func_init_set = PETSC_TRUE;
2003:   PetscFunctionReturn(PETSC_SUCCESS);
2004: }

2006: /*@
2007:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2008:   of the `SNES` method, when norms are computed in the solving process

2010:   Logically Collective

2012:   Input Parameters:
2013: + snes         - the `SNES` context
2014: - normschedule - the frequency of norm computation

2016:   Options Database Key:
2017: . -snes_norm_schedule (none|always|initialonly|finalonly|initialfinalonly) - set the schedule

2019:   Level: advanced

2021:   Notes:
2022:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2023:   of the nonlinear function and the taking of its norm at every iteration to
2024:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2025:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2026:   may either be monitored for convergence or not.  As these are often used as nonlinear
2027:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2028:   their solution.

2030: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2031: @*/
2032: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2033: {
2034:   PetscFunctionBegin;
2036:   snes->normschedule = normschedule;
2037:   PetscFunctionReturn(PETSC_SUCCESS);
2038: }

2040: /*@
2041:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2042:   of the `SNES` method.

2044:   Logically Collective

2046:   Input Parameters:
2047: + snes         - the `SNES` context
2048: - normschedule - the type of the norm used

2050:   Level: advanced

2052: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2053: @*/
2054: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2055: {
2056:   PetscFunctionBegin;
2058:   *normschedule = snes->normschedule;
2059:   PetscFunctionReturn(PETSC_SUCCESS);
2060: }

2062: /*@
2063:   SNESSetFunctionNorm - Sets the last computed residual norm.

2065:   Logically Collective

2067:   Input Parameters:
2068: + snes - the `SNES` context
2069: - norm - the value of the norm

2071:   Level: developer

2073: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2074: @*/
2075: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2076: {
2077:   PetscFunctionBegin;
2079:   snes->norm = norm;
2080:   PetscFunctionReturn(PETSC_SUCCESS);
2081: }

2083: /*@
2084:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2086:   Not Collective

2088:   Input Parameter:
2089: . snes - the `SNES` context

2091:   Output Parameter:
2092: . norm - the last computed residual norm

2094:   Level: developer

2096: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2097: @*/
2098: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2099: {
2100:   PetscFunctionBegin;
2102:   PetscAssertPointer(norm, 2);
2103:   *norm = snes->norm;
2104:   PetscFunctionReturn(PETSC_SUCCESS);
2105: }

2107: /*@
2108:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2110:   Not Collective

2112:   Input Parameter:
2113: . snes - the `SNES` context

2115:   Output Parameter:
2116: . ynorm - the last computed update norm

2118:   Level: developer

2120:   Note:
2121:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2123: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2124: @*/
2125: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2126: {
2127:   PetscFunctionBegin;
2129:   PetscAssertPointer(ynorm, 2);
2130:   *ynorm = snes->ynorm;
2131:   PetscFunctionReturn(PETSC_SUCCESS);
2132: }

2134: /*@
2135:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2137:   Not Collective

2139:   Input Parameter:
2140: . snes - the `SNES` context

2142:   Output Parameter:
2143: . xnorm - the last computed solution norm

2145:   Level: developer

2147: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2148: @*/
2149: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2150: {
2151:   PetscFunctionBegin;
2153:   PetscAssertPointer(xnorm, 2);
2154:   *xnorm = snes->xnorm;
2155:   PetscFunctionReturn(PETSC_SUCCESS);
2156: }

2158: /*@
2159:   SNESSetFunctionType - Sets the `SNESFunctionType`
2160:   of the `SNES` method.

2162:   Logically Collective

2164:   Input Parameters:
2165: + snes - the `SNES` context
2166: - type - the function type

2168:   Level: developer

2170:   Values of the function type\:
2171: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2172: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2173: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2175:   Note:
2176:   Different `SNESType`s use this value in different ways

2178: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2179: @*/
2180: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2181: {
2182:   PetscFunctionBegin;
2184:   snes->functype = type;
2185:   PetscFunctionReturn(PETSC_SUCCESS);
2186: }

2188: /*@
2189:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2190:   of the SNES method.

2192:   Logically Collective

2194:   Input Parameters:
2195: + snes - the `SNES` context
2196: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2198:   Level: advanced

2200: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2201: @*/
2202: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2203: {
2204:   PetscFunctionBegin;
2206:   *type = snes->functype;
2207:   PetscFunctionReturn(PETSC_SUCCESS);
2208: }

2210: /*@C
2211:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2212:   use with composed nonlinear solvers.

2214:   Input Parameters:
2215: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2216: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2217: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2219:   Level: intermediate

2221:   Note:
2222:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2223:   a problem appropriate update to the solution, particularly `SNESFAS`.

2225: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2226: @*/
2227: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2228: {
2229:   DM dm;

2231:   PetscFunctionBegin;
2233:   PetscCall(SNESGetDM(snes, &dm));
2234:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2235:   PetscFunctionReturn(PETSC_SUCCESS);
2236: }

2238: /*@C
2239:   SNESPicardComputeMFFunction - Matrix-free residual $A(x) x - b(x)$ used by `SNESSetPicard()` when the operator is applied through `-snes_mf_operator`

2241:   Collective

2243:   Input Parameters:
2244: + snes - the `SNES` context
2245: . x    - the current iterate
2246: - ctx  - unused application context; the Picard callbacks are retrieved from the attached `DMSNES`

2248:   Output Parameter:
2249: . f - the residual vector

2251:   Level: developer

2253:   Note:
2254:   Uses a duplicate of `snes->jacobian_pre` because `snes->jacobian_pre` cannot be changed during the `KSPSolve()`.

2256: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeJacobian()`
2257: @*/
2258: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2259: {
2260:   DM     dm;
2261:   DMSNES sdm;

2263:   PetscFunctionBegin;
2264:   PetscCall(SNESGetDM(snes, &dm));
2265:   PetscCall(DMGetDMSNES(dm, &sdm));
2266:   /*  A(x)*x - b(x) */
2267:   if (sdm->ops->computepfunction) {
2268:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2269:     PetscCall(VecScale(f, -1.0));
2270:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2271:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2272:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2273:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2274:   } else {
2275:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2276:     PetscCall(MatMult(snes->picard, x, f));
2277:   }
2278:   PetscFunctionReturn(PETSC_SUCCESS);
2279: }

2281: /*@C
2282:   SNESPicardComputeFunction - Compute the residual $A(x) x - b(x)$ using the callbacks registered by `SNESSetPicard()`

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: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeMFFunction()`, `SNESPicardComputeJacobian()`
2297: @*/
2298: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2299: {
2300:   DM     dm;
2301:   DMSNES sdm;

2303:   PetscFunctionBegin;
2304:   PetscCall(SNESGetDM(snes, &dm));
2305:   PetscCall(DMGetDMSNES(dm, &sdm));
2306:   /*  A(x)*x - b(x) */
2307:   if (sdm->ops->computepfunction) {
2308:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2309:     PetscCall(VecScale(f, -1.0));
2310:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2311:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2312:   } else {
2313:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2314:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2315:   }
2316:   PetscFunctionReturn(PETSC_SUCCESS);
2317: }

2319: /*@C
2320:   SNESPicardComputeJacobian - Trivial Jacobian assembly callback used by `SNESSetPicard()`; the Picard operator is filled in by `SNESPicardComputeFunction()`

2322:   Collective

2324:   Input Parameters:
2325: + snes - the `SNES` context
2326: . x1   - the current iterate (unused)
2327: . J    - the Jacobian matrix to assemble
2328: . B    - the preconditioning matrix (unused)
2329: - ctx  - unused application context

2331:   Level: developer

2333:   Note:
2334:   Only calls `MatAssemblyBegin()`/`MatAssemblyEnd()` on `J`, because the Picard iteration reuses the operator already assembled by `SNESPicardComputeFunction()`.

2336: .seealso: [](ch_snes), `SNES`, `SNESSetPicard()`, `SNESPicardComputeFunction()`, `SNESPicardComputeMFFunction()`
2337: @*/
2338: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2339: {
2340:   PetscFunctionBegin;
2341:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2342:   /* must assembly if matrix-free to get the last SNES solution */
2343:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2344:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2345:   PetscFunctionReturn(PETSC_SUCCESS);
2346: }

2348: /*@C
2349:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2351:   Logically Collective

2353:   Input Parameters:
2354: + snes - the `SNES` context
2355: . r    - vector to store function values, may be `NULL`
2356: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2357: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2358: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2359: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2360: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2362:   Level: intermediate

2364:   Notes:
2365:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2366:   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.

2368:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2370:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2371:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2373:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2375:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2376:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2378:   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
2379:   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
2380:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2382:   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
2383:   $A(x^{n})$ is used to build the preconditioner

2385:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2387:   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
2388:   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
2389:   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`.
2390:   See the comment in src/snes/tutorials/ex15.c.

2392: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2393:           `SNESFunctionFn`, `SNESJacobianFn`
2394: @*/
2395: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2396: {
2397:   DM dm;

2399:   PetscFunctionBegin;
2401:   PetscCall(SNESGetDM(snes, &dm));
2402:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2403:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2404:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2405:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2406:   PetscFunctionReturn(PETSC_SUCCESS);
2407: }

2409: /*@C
2410:   SNESGetPicard - Returns the context for the Picard iteration

2412:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2414:   Input Parameter:
2415: . snes - the `SNES` context

2417:   Output Parameters:
2418: + r    - the function (or `NULL`)
2419: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2420: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2421: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2422: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2423: - ctx  - the function context (or `NULL`)

2425:   Level: advanced

2427: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2428: @*/
2429: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2430: {
2431:   DM dm;

2433:   PetscFunctionBegin;
2435:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2436:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2437:   PetscCall(SNESGetDM(snes, &dm));
2438:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2439:   PetscFunctionReturn(PETSC_SUCCESS);
2440: }

2442: /*@C
2443:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2445:   Logically Collective

2447:   Input Parameters:
2448: + snes - the `SNES` context
2449: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2450: - ctx  - [optional] user-defined context for private data for the
2451:          function evaluation routine (may be `NULL`)

2453:   Level: intermediate

2455: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2456: @*/
2457: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2458: {
2459:   PetscFunctionBegin;
2461:   if (func) snes->ops->computeinitialguess = func;
2462:   if (ctx) snes->initialguessP = ctx;
2463:   PetscFunctionReturn(PETSC_SUCCESS);
2464: }

2466: /*@C
2467:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2468:   it assumes a zero right-hand side.

2470:   Logically Collective

2472:   Input Parameter:
2473: . snes - the `SNES` context

2475:   Output Parameter:
2476: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2478:   Level: intermediate

2480: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2481: @*/
2482: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2483: {
2484:   PetscFunctionBegin;
2486:   PetscAssertPointer(rhs, 2);
2487:   *rhs = snes->vec_rhs;
2488:   PetscFunctionReturn(PETSC_SUCCESS);
2489: }

2491: /*@
2492:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2494:   Collective

2496:   Input Parameters:
2497: + snes - the `SNES` context
2498: - x    - input vector

2500:   Output Parameter:
2501: . f - function vector, as set by `SNESSetFunction()`

2503:   Level: developer

2505:   Notes:
2506:   `SNESComputeFunction()` is typically used within nonlinear solvers
2507:   implementations, so users would not generally call this routine themselves.

2509:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2511:   This function usually appears in the pattern.
2512: .vb
2513:   SNESComputeFunction(snes, x, f);
2514:   VecNorm(f, &fnorm);
2515:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2516: .ve
2517:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2519: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2520: @*/
2521: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2522: {
2523:   DM     dm;
2524:   DMSNES sdm;

2526:   PetscFunctionBegin;
2530:   PetscCheckSameComm(snes, 1, x, 2);
2531:   PetscCheckSameComm(snes, 1, f, 3);
2532:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2534:   PetscCall(SNESGetDM(snes, &dm));
2535:   PetscCall(DMGetDMSNES(dm, &sdm));
2536:   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().");
2537:   if (sdm->ops->computefunction) {
2538:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2539:     PetscCall(VecLockReadPush(x));
2540:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2541:     snes->functiondomainerror = PETSC_FALSE;
2542:     {
2543:       void           *ctx;
2544:       SNESFunctionFn *computefunction;
2545:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2546:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2547:     }
2548:     PetscCall(VecLockReadPop(x));
2549:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2550:   } else /* if (snes->vec_rhs) */ {
2551:     PetscCall(MatMult(snes->jacobian, x, f));
2552:   }
2553:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2554:   snes->nfuncs++;
2555:   /*
2556:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2557:      propagate the value to all processes
2558:   */
2559:   PetscCall(VecFlag(f, snes->functiondomainerror));
2560:   PetscFunctionReturn(PETSC_SUCCESS);
2561: }

2563: /*@
2564:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2566:   Collective

2568:   Input Parameters:
2569: + snes - the `SNES` context
2570: - x    - input vector

2572:   Output Parameter:
2573: . y - output vector

2575:   Level: developer

2577:   Notes:
2578:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2579:   so users would not generally call this routine themselves.

2581:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2582:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2583:   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.

2585: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2586: @*/
2587: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2588: {
2589:   DM     dm;
2590:   DMSNES sdm;

2592:   PetscFunctionBegin;
2596:   PetscCheckSameComm(snes, 1, x, 2);
2597:   PetscCheckSameComm(snes, 1, y, 3);
2598:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2600:   PetscCall(SNESGetDM(snes, &dm));
2601:   PetscCall(DMGetDMSNES(dm, &sdm));
2602:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2603:   PetscCall(VecLockReadPush(x));
2604:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2605:   snes->functiondomainerror = PETSC_FALSE;
2606:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2607:   PetscCall(VecLockReadPop(x));
2608:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2609:   snes->nfuncs++;
2610:   /*
2611:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2612:      propagate the value to all processes
2613:   */
2614:   PetscCall(VecFlag(y, snes->functiondomainerror));
2615:   PetscFunctionReturn(PETSC_SUCCESS);
2616: }

2618: /*@
2619:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2621:   Collective

2623:   Input Parameters:
2624: + snes - the `SNES` context
2625: . x    - input vector
2626: - b    - rhs vector

2628:   Output Parameter:
2629: . x - new solution vector

2631:   Level: developer

2633:   Note:
2634:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2635:   implementations, so most users would not generally call this routine
2636:   themselves.

2638: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2639: @*/
2640: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2641: {
2642:   DM     dm;
2643:   DMSNES sdm;

2645:   PetscFunctionBegin;
2649:   PetscCheckSameComm(snes, 1, x, 3);
2650:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2651:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2652:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2653:   PetscCall(SNESGetDM(snes, &dm));
2654:   PetscCall(DMGetDMSNES(dm, &sdm));
2655:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2656:   if (b) PetscCall(VecLockReadPush(b));
2657:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2658:   if (b) PetscCall(VecLockReadPop(b));
2659:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2660:   PetscFunctionReturn(PETSC_SUCCESS);
2661: }

2663: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2664: {
2665:   Vec          X;
2666:   PetscScalar *g;
2667:   PetscReal    f, f2;
2668:   PetscInt     low, high, N, i;
2669:   PetscBool    flg;
2670:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2672:   PetscFunctionBegin;
2673:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2674:   PetscCall(VecDuplicate(Xin, &X));
2675:   PetscCall(VecCopy(Xin, X));
2676:   PetscCall(VecGetSize(X, &N));
2677:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2678:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2679:   PetscCall(VecGetArray(G, &g));
2680:   for (i = 0; i < N; i++) {
2681:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2682:     PetscCall(VecAssemblyBegin(X));
2683:     PetscCall(VecAssemblyEnd(X));
2684:     PetscCall(SNESComputeObjective(snes, X, &f));
2685:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2686:     PetscCall(VecAssemblyBegin(X));
2687:     PetscCall(VecAssemblyEnd(X));
2688:     PetscCall(SNESComputeObjective(snes, X, &f2));
2689:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2690:     PetscCall(VecAssemblyBegin(X));
2691:     PetscCall(VecAssemblyEnd(X));
2692:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2693:   }
2694:   PetscCall(VecRestoreArray(G, &g));
2695:   PetscCall(VecDestroy(&X));
2696:   PetscFunctionReturn(PETSC_SUCCESS);
2697: }

2699: /*@
2700:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2702:   Collective

2704:   Input Parameter:
2705: . snes - the `SNES` context

2707:   Options Database Keys:
2708: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2709: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2711:   Level: developer

2713: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2714: @*/
2715: PetscErrorCode SNESTestFunction(SNES snes)
2716: {
2717:   Vec               x, g1, g2, g3;
2718:   PetscBool         complete_print = PETSC_FALSE;
2719:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2720:   PetscScalar       dot;
2721:   MPI_Comm          comm;
2722:   PetscViewer       viewer, mviewer;
2723:   PetscViewerFormat format;
2724:   PetscInt          tabs;
2725:   static PetscBool  directionsprinted = PETSC_FALSE;
2726:   SNESObjectiveFn  *objective;

2728:   PetscFunctionBegin;
2729:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2730:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2732:   PetscObjectOptionsBegin((PetscObject)snes);
2733:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2734:   PetscOptionsEnd();

2736:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2737:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2738:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2739:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2740:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2741:   if (!complete_print && !directionsprinted) {
2742:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2743:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2744:   }
2745:   if (!directionsprinted) {
2746:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2747:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2748:     directionsprinted = PETSC_TRUE;
2749:   }
2750:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2752:   PetscCall(SNESGetSolution(snes, &x));
2753:   PetscCall(VecDuplicate(x, &g1));
2754:   PetscCall(VecDuplicate(x, &g2));
2755:   PetscCall(VecDuplicate(x, &g3));
2756:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() correctly */
2757:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2759:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2760:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2761:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2762:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2763:   PetscCall(VecDot(g1, g2, &dot));
2764:   PetscCall(VecCopy(g1, g3));
2765:   PetscCall(VecAXPY(g3, -1.0, g2));
2766:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2767:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2768:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2769:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2770:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2772:   if (complete_print) {
2773:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2774:     PetscCall(VecView(g1, mviewer));
2775:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2776:     PetscCall(VecView(g2, mviewer));
2777:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2778:     PetscCall(VecView(g3, mviewer));
2779:   }
2780:   PetscCall(VecDestroy(&g1));
2781:   PetscCall(VecDestroy(&g2));
2782:   PetscCall(VecDestroy(&g3));

2784:   if (complete_print) {
2785:     PetscCall(PetscViewerPopFormat(mviewer));
2786:     PetscCall(PetscViewerDestroy(&mviewer));
2787:   }
2788:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2789:   PetscFunctionReturn(PETSC_SUCCESS);
2790: }

2792: /*@
2793:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2795:   Collective

2797:   Input Parameter:
2798: . snes - the `SNES` context

2800:   Output Parameters:
2801: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2802: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2804:   Options Database Keys:
2805: + -snes_test_jacobian [threshold] - compare the user provided Jacobian with one compute via finite differences to check for errors.  If a threshold is given, display only those entries whose difference is greater than the threshold.
2806: - -snes_test_jacobian_view        - display the user provided Jacobian, the finite difference Jacobian and the difference

2808:   Level: developer

2810:   Note:
2811:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2813: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2814: @*/
2815: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2816: {
2817:   Mat               A, B, C, D, jacobian;
2818:   Vec               x = snes->vec_sol, f;
2819:   PetscReal         nrm, gnorm;
2820:   PetscReal         threshold = 1.e-5;
2821:   void             *functx;
2822:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2823:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2824:   PetscViewer       viewer, mviewer;
2825:   MPI_Comm          comm;
2826:   PetscInt          tabs;
2827:   static PetscBool  directionsprinted = PETSC_FALSE;
2828:   PetscViewerFormat format;

2830:   PetscFunctionBegin;
2831:   PetscObjectOptionsBegin((PetscObject)snes);
2832:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2833:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2834:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2835:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2836:   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));
2837:   PetscOptionsEnd();

2839:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2840:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2841:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2842:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2843:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2844:   if (!complete_print && !silent && !directionsprinted) {
2845:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2846:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2847:   }
2848:   if (!directionsprinted && !silent) {
2849:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2850:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2851:     directionsprinted = PETSC_TRUE;
2852:   }
2853:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2855:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2856:   if (!flg) jacobian = snes->jacobian;
2857:   else jacobian = snes->jacobian_pre;

2859:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2860:   else PetscCall(PetscObjectReference((PetscObject)x));
2861:   PetscCall(VecDuplicate(x, &f));

2863:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2864:   PetscCall(SNESComputeFunction(snes, x, f));
2865:   PetscCall(VecDestroy(&f));
2866:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2867:   while (jacobian) {
2868:     Mat JT = NULL, Jsave = NULL;

2870:     if (istranspose) {
2871:       PetscCall(MatCreateTranspose(jacobian, &JT));
2872:       Jsave    = jacobian;
2873:       jacobian = JT;
2874:     }
2875:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2876:     if (flg) {
2877:       A = jacobian;
2878:       PetscCall(PetscObjectReference((PetscObject)A));
2879:     } else {
2880:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2881:     }

2883:     PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &B));
2884:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2886:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2887:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2889:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2890:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2891:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2892:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2893:     PetscCall(MatDestroy(&D));
2894:     if (!gnorm) gnorm = 1; /* just in case */
2895:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2896:     if (complete_print) {
2897:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2898:       PetscCall(MatView(A, mviewer));
2899:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2900:       PetscCall(MatView(B, mviewer));
2901:     }

2903:     if (threshold_print || complete_print) {
2904:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2905:       PetscScalar       *cvals;
2906:       const PetscInt    *bcols;
2907:       const PetscScalar *bvals;

2909:       PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &C));
2910:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2912:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2913:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2915:       for (row = Istart; row < Iend; row++) {
2916:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2917:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2918:         for (j = 0, cncols = 0; j < bncols; j++) {
2919:           if (PetscAbsScalar(bvals[j]) > threshold) {
2920:             ccols[cncols] = bcols[j];
2921:             cvals[cncols] = bvals[j];
2922:             cncols += 1;
2923:           }
2924:         }
2925:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2926:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2927:         PetscCall(PetscFree2(ccols, cvals));
2928:       }
2929:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2930:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2931:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2932:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2933:       PetscCall(MatDestroy(&C));
2934:     }
2935:     PetscCall(MatDestroy(&A));
2936:     PetscCall(MatDestroy(&B));
2937:     PetscCall(MatDestroy(&JT));
2938:     if (Jsave) jacobian = Jsave;
2939:     if (jacobian != snes->jacobian_pre) {
2940:       jacobian = snes->jacobian_pre;
2941:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2942:     } else jacobian = NULL;
2943:   }
2944:   PetscCall(VecDestroy(&x));
2945:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2946:   PetscCall(PetscViewerDestroy(&mviewer));
2947:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2949:   if (Jnorm) *Jnorm = gnorm;
2950:   if (diffNorm) *diffNorm = nrm;
2951:   PetscFunctionReturn(PETSC_SUCCESS);
2952: }

2954: /*@
2955:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2957:   Collective

2959:   Input Parameters:
2960: + snes - the `SNES` context
2961: - X    - input vector

2963:   Output Parameters:
2964: + A - Jacobian matrix
2965: - B - optional matrix for building the preconditioner, usually the same as `A`

2967:   Options Database Keys:
2968: + -snes_lag_preconditioner lag          - how often to rebuild preconditioner
2969: . -snes_lag_jacobian lag                - how often to rebuild Jacobian
2970: . -snes_test_jacobian [threshold]       - compare the user provided Jacobian with one compute via finite differences to check for errors.
2971:                                           If a threshold is given, display only those entries whose difference is greater than the threshold.
2972: . -snes_test_jacobian_view [viewer]     - 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
2973: . -snes_compare_explicit                - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2974: . -snes_compare_explicit_draw           - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2975: . -snes_compare_explicit_contour        - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2976: . -snes_compare_operator                - Make the comparison options above use the operator instead of the matrix used to construct the preconditioner
2977: . -snes_compare_coloring                - Compute the finite difference Jacobian using coloring and display norms of difference
2978: . -snes_compare_coloring_display        - Compute the finite difference Jacobian using coloring and display verbose differences
2979: . -snes_compare_coloring_threshold      - Display only those matrix entries that differ by more than a given threshold
2980: . -snes_compare_coloring_threshold_atol - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2981: . -snes_compare_coloring_threshold_rtol - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2982: . -snes_compare_coloring_draw           - Compute the finite difference Jacobian using coloring and draw differences
2983: - -snes_compare_coloring_draw_contour   - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2985:   Level: developer

2987:   Note:
2988:   Most users should not need to explicitly call this routine, as it
2989:   is used internally within the nonlinear solvers.

2991:   Developer Note:
2992:   This has duplicative ways of checking the accuracy of the user provided Jacobian (see the options above). This is for historical reasons, the routine `SNESTestJacobian()` use to used
2993:   with the `SNESType` of test that has been removed.

2995: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
2996:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
2997: @*/
2998: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2999: {
3000:   PetscBool flag;
3001:   DM        dm;
3002:   DMSNES    sdm;
3003:   KSP       ksp;

3005:   PetscFunctionBegin;
3008:   PetscCheckSameComm(snes, 1, X, 2);
3009:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
3010:   PetscCall(SNESGetDM(snes, &dm));
3011:   PetscCall(DMGetDMSNES(dm, &sdm));

3013:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
3014:   if (snes->lagjacobian == -2) {
3015:     snes->lagjacobian = -1;

3017:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
3018:   } else if (snes->lagjacobian == -1) {
3019:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
3020:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3021:     if (flag) {
3022:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3023:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3024:     }
3025:     PetscFunctionReturn(PETSC_SUCCESS);
3026:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
3027:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
3028:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
3029:     if (flag) {
3030:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3031:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3032:     }
3033:     PetscFunctionReturn(PETSC_SUCCESS);
3034:   }
3035:   if (snes->npc && snes->npcside == PC_LEFT) {
3036:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
3037:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3038:     PetscFunctionReturn(PETSC_SUCCESS);
3039:   }

3041:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
3042:   PetscCall(VecLockReadPush(X));
3043:   {
3044:     void           *ctx;
3045:     SNESJacobianFn *J;
3046:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3047:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3048:   }
3049:   PetscCall(VecLockReadPop(X));
3050:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3052:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3053:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3055:   /* the next line ensures that snes->ksp exists */
3056:   PetscCall(SNESGetKSP(snes, &ksp));
3057:   if (snes->lagpreconditioner == -2) {
3058:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3059:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3060:     snes->lagpreconditioner = -1;
3061:   } else if (snes->lagpreconditioner == -1) {
3062:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3063:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3064:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3065:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3066:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3067:   } else {
3068:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3069:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3070:   }

3072:   /* monkey business to allow testing Jacobians in multilevel solvers.
3073:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3074:   {
3075:     Vec xsave            = snes->vec_sol;
3076:     Mat jacobiansave     = snes->jacobian;
3077:     Mat jacobian_presave = snes->jacobian_pre;

3079:     snes->vec_sol      = X;
3080:     snes->jacobian     = A;
3081:     snes->jacobian_pre = B;
3082:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3083:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3085:     snes->vec_sol      = xsave;
3086:     snes->jacobian     = jacobiansave;
3087:     snes->jacobian_pre = jacobian_presave;
3088:   }

3090:   {
3091:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3092:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3093:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3094:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3095:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3096:     if (flag || flag_draw || flag_contour) {
3097:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3098:       PetscViewer vdraw, vstdout;
3099:       PetscBool   flg;
3100:       if (flag_operator) {
3101:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3102:         Bexp = Bexp_mine;
3103:       } else {
3104:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3105:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3106:         if (flg) Bexp = B;
3107:         else {
3108:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3109:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3110:           Bexp = Bexp_mine;
3111:         }
3112:       }
3113:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3114:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3115:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3116:       if (flag_draw || flag_contour) {
3117:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3118:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3119:       } else vdraw = NULL;
3120:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3121:       if (flag) PetscCall(MatView(Bexp, vstdout));
3122:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3123:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3124:       if (flag) PetscCall(MatView(FDexp, vstdout));
3125:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3126:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3127:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3128:       if (flag) PetscCall(MatView(FDexp, vstdout));
3129:       if (vdraw) { /* Always use contour for the difference */
3130:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3131:         PetscCall(MatView(FDexp, vdraw));
3132:         PetscCall(PetscViewerPopFormat(vdraw));
3133:       }
3134:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3135:       PetscCall(PetscViewerDestroy(&vdraw));
3136:       PetscCall(MatDestroy(&Bexp_mine));
3137:       PetscCall(MatDestroy(&FDexp));
3138:     }
3139:   }
3140:   {
3141:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3142:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3143:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3144:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3145:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3146:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3147:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3148:     if (flag_threshold) {
3149:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3150:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3151:     }
3152:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3153:       Mat             Bfd;
3154:       PetscViewer     vdraw, vstdout;
3155:       MatColoring     coloring;
3156:       ISColoring      iscoloring;
3157:       MatFDColoring   matfdcoloring;
3158:       SNESFunctionFn *func;
3159:       void           *funcctx;
3160:       PetscReal       norm1, norm2, normmax;

3162:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3163:       PetscCall(MatColoringCreate(Bfd, &coloring));
3164:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3165:       PetscCall(MatColoringSetFromOptions(coloring));
3166:       PetscCall(MatColoringApply(coloring, &iscoloring));
3167:       PetscCall(MatColoringDestroy(&coloring));
3168:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3169:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3170:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3171:       PetscCall(ISColoringDestroy(&iscoloring));

3173:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3174:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3175:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3176:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3177:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3178:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3179:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3180:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3182:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3183:       if (flag_draw || flag_contour) {
3184:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3185:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3186:       } else vdraw = NULL;
3187:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3188:       if (flag_display) PetscCall(MatView(B, vstdout));
3189:       if (vdraw) PetscCall(MatView(B, vdraw));
3190:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3191:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3192:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3193:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3194:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3195:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3196:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3197:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3198:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3199:       if (vdraw) { /* Always use contour for the difference */
3200:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3201:         PetscCall(MatView(Bfd, vdraw));
3202:         PetscCall(PetscViewerPopFormat(vdraw));
3203:       }
3204:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3206:       if (flag_threshold) {
3207:         PetscInt bs, rstart, rend, i;
3208:         PetscCall(MatGetBlockSize(B, &bs));
3209:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3210:         for (i = rstart; i < rend; i++) {
3211:           const PetscScalar *ba, *ca;
3212:           const PetscInt    *bj, *cj;
3213:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3214:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3215:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3216:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3217:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3218:           for (j = 0; j < bn; j++) {
3219:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3220:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3221:               maxentrycol = bj[j];
3222:               maxentry    = PetscRealPart(ba[j]);
3223:             }
3224:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3225:               maxdiffcol = bj[j];
3226:               maxdiff    = PetscRealPart(ca[j]);
3227:             }
3228:             if (rdiff > maxrdiff) {
3229:               maxrdiffcol = bj[j];
3230:               maxrdiff    = rdiff;
3231:             }
3232:           }
3233:           if (maxrdiff > 1) {
3234:             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));
3235:             for (j = 0; j < bn; j++) {
3236:               PetscReal rdiff;
3237:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3238:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3239:             }
3240:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3241:           }
3242:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3243:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3244:         }
3245:       }
3246:       PetscCall(PetscViewerDestroy(&vdraw));
3247:       PetscCall(MatDestroy(&Bfd));
3248:     }
3249:   }
3250:   PetscFunctionReturn(PETSC_SUCCESS);
3251: }

3253: /*@C
3254:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3255:   location to store the matrix.

3257:   Logically Collective

3259:   Input Parameters:
3260: + snes - the `SNES` context
3261: . Amat - the matrix that defines the (approximate) Jacobian
3262: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3263: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3264: - ctx  - [optional] user-defined context for private data for the
3265:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3267:   Level: beginner

3269:   Notes:
3270:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3271:   each matrix.

3273:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3274:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3276:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3277:   must be a `MatFDColoring`.

3279:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3280:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3282: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3283:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3284: @*/
3285: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3286: {
3287:   DM dm;

3289:   PetscFunctionBegin;
3293:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3294:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3295:   PetscCall(SNESGetDM(snes, &dm));
3296:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3297:   if (Amat) {
3298:     PetscCall(PetscObjectReference((PetscObject)Amat));
3299:     PetscCall(MatDestroy(&snes->jacobian));

3301:     snes->jacobian = Amat;
3302:   }
3303:   if (Pmat) {
3304:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3305:     PetscCall(MatDestroy(&snes->jacobian_pre));

3307:     snes->jacobian_pre = Pmat;
3308:   }
3309:   PetscFunctionReturn(PETSC_SUCCESS);
3310: }

3312: /*@C
3313:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3314:   provided context for evaluating the Jacobian.

3316:   Not Collective, but `Mat` object will be parallel if `SNES` is

3318:   Input Parameter:
3319: . snes - the nonlinear solver context

3321:   Output Parameters:
3322: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3323: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3324: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3325: - ctx  - location to stash Jacobian ctx (or `NULL`)

3327:   Level: advanced

3329: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3330: @*/
3331: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3332: {
3333:   DM dm;

3335:   PetscFunctionBegin;
3337:   if (Amat) *Amat = snes->jacobian;
3338:   if (Pmat) *Pmat = snes->jacobian_pre;
3339:   PetscCall(SNESGetDM(snes, &dm));
3340:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3341:   PetscFunctionReturn(PETSC_SUCCESS);
3342: }

3344: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3345: {
3346:   DM     dm;
3347:   DMSNES sdm;

3349:   PetscFunctionBegin;
3350:   PetscCall(SNESGetDM(snes, &dm));
3351:   PetscCall(DMGetDMSNES(dm, &sdm));
3352:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3353:     DM        dm;
3354:     PetscBool isdense, ismf;

3356:     PetscCall(SNESGetDM(snes, &dm));
3357:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3358:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3359:     if (isdense) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3360:     else if (!ismf) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3361:   }
3362:   PetscFunctionReturn(PETSC_SUCCESS);
3363: }

3365: /*@
3366:   SNESSetUp - Sets up the internal data structures for the later use
3367:   of a nonlinear solver `SNESSolve()`.

3369:   Collective

3371:   Input Parameter:
3372: . snes - the `SNES` context

3374:   Level: advanced

3376:   Note:
3377:   For basic use of the `SNES` solvers the user does not need to explicitly call
3378:   `SNESSetUp()`, since these actions will automatically occur during
3379:   the call to `SNESSolve()`.  However, if one wishes to control this
3380:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3381:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3383: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3384: @*/
3385: PetscErrorCode SNESSetUp(SNES snes)
3386: {
3387:   DM             dm;
3388:   DMSNES         sdm;
3389:   SNESLineSearch linesearch, pclinesearch;
3390:   void          *lsprectx, *lspostctx;
3391:   PetscBool      mf_operator, mf;
3392:   Vec            f, fpc;
3393:   void          *funcctx;
3394:   void          *jacctx, *appctx;
3395:   Mat            j, jpre;
3396:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, PetscCtx);
3397:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, PetscCtx);
3398:   SNESFunctionFn *func;
3399:   SNESJacobianFn *jac;

3401:   PetscFunctionBegin;
3403:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3404:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3406:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3408:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3410:   PetscCall(SNESGetDM(snes, &dm));
3411:   PetscCall(DMGetDMSNES(dm, &sdm));
3412:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3414:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3416:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3418:   if (snes->linesearch) {
3419:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3420:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3421:   }

3423:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3424:   if (snes->npc && snes->npcside == PC_LEFT) {
3425:     snes->mf          = PETSC_TRUE;
3426:     snes->mf_operator = PETSC_FALSE;
3427:   }

3429:   if (snes->npc) {
3430:     /* copy the DM over */
3431:     PetscCall(SNESGetDM(snes, &dm));
3432:     PetscCall(SNESSetDM(snes->npc, dm));

3434:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3435:     PetscCall(VecDuplicate(f, &fpc));
3436:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3437:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3438:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3439:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3440:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3441:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3442:     PetscCall(VecDestroy(&fpc));

3444:     /* copy the function pointers over */
3445:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3447:     /* default to 1 iteration */
3448:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3449:     if (snes->npcside == PC_RIGHT) {
3450:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3451:     } else {
3452:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3453:     }
3454:     PetscCall(SNESSetFromOptions(snes->npc));

3456:     /* copy the line search context over */
3457:     if (snes->linesearch && snes->npc->linesearch) {
3458:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3459:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3460:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3461:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3462:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3463:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3464:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3465:     }
3466:   }
3467:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3468:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));

3470:   snes->jac_iter = 0;
3471:   snes->pre_iter = 0;

3473:   PetscTryTypeMethod(snes, setup);

3475:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3477:   if (snes->npc && snes->npcside == PC_LEFT) {
3478:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3479:       if (snes->linesearch) {
3480:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3481:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3482:       }
3483:     }
3484:   }
3485:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3486:   snes->setupcalled = PETSC_TRUE;
3487:   PetscFunctionReturn(PETSC_SUCCESS);
3488: }

3490: /*@
3491:   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

3493:   Collective

3495:   Input Parameter:
3496: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3498:   Level: intermediate

3500:   Notes:
3501:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3503:   Call this if you wish to reuse a `SNES` but with different size vectors

3505:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3507: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3508: @*/
3509: PetscErrorCode SNESReset(SNES snes)
3510: {
3511:   PetscFunctionBegin;
3513:   if (snes->ops->ctxdestroy && snes->ctx) {
3514:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3515:     snes->ctx = NULL;
3516:   }
3517:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3519:   PetscTryTypeMethod(snes, reset);
3520:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3522:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3524:   PetscCall(VecDestroy(&snes->vec_rhs));
3525:   PetscCall(VecDestroy(&snes->vec_sol));
3526:   PetscCall(VecDestroy(&snes->vec_sol_update));
3527:   PetscCall(VecDestroy(&snes->vec_func));
3528:   PetscCall(MatDestroy(&snes->jacobian));
3529:   PetscCall(MatDestroy(&snes->jacobian_pre));
3530:   PetscCall(MatDestroy(&snes->picard));
3531:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3532:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3534:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3536:   snes->nwork = snes->nvwork = 0;
3537:   snes->setupcalled          = PETSC_FALSE;
3538:   PetscFunctionReturn(PETSC_SUCCESS);
3539: }

3541: /*@
3542:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3543:   removes the default viewer.

3545:   Collective

3547:   Input Parameter:
3548: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3550:   Level: intermediate

3552: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3553: @*/
3554: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3555: {
3556:   PetscInt i;

3558:   PetscFunctionBegin;
3560:   for (i = 0; i < snes->numberreasonviews; i++) {
3561:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3562:   }
3563:   snes->numberreasonviews = 0;
3564:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3565:   PetscFunctionReturn(PETSC_SUCCESS);
3566: }

3568: /*@
3569:   SNESDestroy - Destroys the nonlinear solver context that was created
3570:   with `SNESCreate()`.

3572:   Collective

3574:   Input Parameter:
3575: . snes - the `SNES` context

3577:   Level: beginner

3579: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3580: @*/
3581: PetscErrorCode SNESDestroy(SNES *snes)
3582: {
3583:   DM dm;

3585:   PetscFunctionBegin;
3586:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3588:   if (--((PetscObject)*snes)->refct > 0) {
3589:     *snes = NULL;
3590:     PetscFunctionReturn(PETSC_SUCCESS);
3591:   }

3593:   PetscCall(SNESReset(*snes));
3594:   PetscCall(SNESDestroy(&(*snes)->npc));

3596:   /* if memory was published with SAWs then destroy it */
3597:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3598:   PetscTryTypeMethod(*snes, destroy);

3600:   dm = (*snes)->dm;
3601:   while (dm) {
3602:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3603:     PetscCall(DMGetCoarseDM(dm, &dm));
3604:   }

3606:   PetscCall(DMDestroy(&(*snes)->dm));
3607:   PetscCall(KSPDestroy(&(*snes)->ksp));
3608:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3610:   PetscCall(PetscFree((*snes)->kspconvctx));
3611:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3612:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3613:   PetscCall(SNESMonitorCancel(*snes));
3614:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3615:   PetscCall(PetscHeaderDestroy(snes));
3616:   PetscFunctionReturn(PETSC_SUCCESS);
3617: }

3619: /* ----------- Routines to set solver parameters ---------- */

3621: /*@
3622:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3624:   Logically Collective

3626:   Input Parameters:
3627: + snes - the `SNES` context
3628: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3629:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3631:   Options Database Keys:
3632: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple `SNESSolve()`
3633: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3634: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple `SNESSolve()`
3635: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3637:   Level: intermediate

3639:   Notes:
3640:   The default is 1

3642:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3644:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3646: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3647:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3648: @*/
3649: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3650: {
3651:   PetscFunctionBegin;
3653:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3654:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3656:   snes->lagpreconditioner = lag;
3657:   PetscFunctionReturn(PETSC_SUCCESS);
3658: }

3660: /*@
3661:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3663:   Logically Collective

3665:   Input Parameters:
3666: + snes  - the `SNES` context
3667: - steps - the number of refinements to do, defaults to 0

3669:   Options Database Key:
3670: . -snes_grid_sequence steps - Use grid sequencing to generate initial guess

3672:   Level: intermediate

3674:   Notes:
3675:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3677:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3679: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3680:           `SNESSetDM()`, `SNESSolve()`
3681: @*/
3682: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3683: {
3684:   PetscFunctionBegin;
3687:   snes->gridsequence = steps;
3688:   PetscFunctionReturn(PETSC_SUCCESS);
3689: }

3691: /*@
3692:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3694:   Logically Collective

3696:   Input Parameter:
3697: . snes - the `SNES` context

3699:   Output Parameter:
3700: . steps - the number of refinements to do, defaults to 0

3702:   Level: intermediate

3704: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3705: @*/
3706: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3707: {
3708:   PetscFunctionBegin;
3710:   *steps = snes->gridsequence;
3711:   PetscFunctionReturn(PETSC_SUCCESS);
3712: }

3714: /*@
3715:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3717:   Not Collective

3719:   Input Parameter:
3720: . snes - the `SNES` context

3722:   Output Parameter:
3723: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3724:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3726:   Level: intermediate

3728:   Notes:
3729:   The default is 1

3731:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3733: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3734: @*/
3735: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3736: {
3737:   PetscFunctionBegin;
3739:   *lag = snes->lagpreconditioner;
3740:   PetscFunctionReturn(PETSC_SUCCESS);
3741: }

3743: /*@
3744:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3745:   often the preconditioner is rebuilt.

3747:   Logically Collective

3749:   Input Parameters:
3750: + snes - the `SNES` context
3751: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3752:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3754:   Options Database Keys:
3755: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3756: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3757: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3758: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag.

3760:   Level: intermediate

3762:   Notes:
3763:   The default is 1

3765:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3767:   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
3768:   at the next Newton step but never again (unless it is reset to another value)

3770: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3771: @*/
3772: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3773: {
3774:   PetscFunctionBegin;
3776:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3777:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3779:   snes->lagjacobian = lag;
3780:   PetscFunctionReturn(PETSC_SUCCESS);
3781: }

3783: /*@
3784:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when 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.

3795:   Level: intermediate

3797:   Notes:
3798:   The default is 1

3800:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

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

3812: /*@
3813:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3815:   Logically collective

3817:   Input Parameters:
3818: + snes - the `SNES` context
3819: - flg  - jacobian lagging persists if true

3821:   Options Database Keys:
3822: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3823: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3824: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3825: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3827:   Level: advanced

3829:   Notes:
3830:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3832:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3833:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3834:   timesteps may present huge efficiency gains.

3836: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3837: @*/
3838: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3839: {
3840:   PetscFunctionBegin;
3843:   snes->lagjac_persist = flg;
3844:   PetscFunctionReturn(PETSC_SUCCESS);
3845: }

3847: /*@
3848:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3850:   Logically Collective

3852:   Input Parameters:
3853: + snes - the `SNES` context
3854: - flg  - preconditioner lagging persists if true

3856:   Options Database Keys:
3857: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3858: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3859: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3860: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3862:   Level: developer

3864:   Notes:
3865:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3867:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3868:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3869:   several timesteps may present huge efficiency gains.

3871: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3872: @*/
3873: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3874: {
3875:   PetscFunctionBegin;
3878:   snes->lagpre_persist = flg;
3879:   PetscFunctionReturn(PETSC_SUCCESS);
3880: }

3882: /*@
3883:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3885:   Logically Collective

3887:   Input Parameters:
3888: + snes  - the `SNES` context
3889: - force - `PETSC_TRUE` require at least one iteration

3891:   Options Database Key:
3892: . -snes_force_iteration force - Sets forcing an iteration

3894:   Level: intermediate

3896:   Note:
3897:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3899: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3900: @*/
3901: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3902: {
3903:   PetscFunctionBegin;
3905:   snes->forceiteration = force;
3906:   PetscFunctionReturn(PETSC_SUCCESS);
3907: }

3909: /*@
3910:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3912:   Logically Collective

3914:   Input Parameter:
3915: . snes - the `SNES` context

3917:   Output Parameter:
3918: . force - `PETSC_TRUE` requires at least one iteration.

3920:   Level: intermediate

3922: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3923: @*/
3924: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3925: {
3926:   PetscFunctionBegin;
3928:   *force = snes->forceiteration;
3929:   PetscFunctionReturn(PETSC_SUCCESS);
3930: }

3932: /*@
3933:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

3935:   Logically Collective

3937:   Input Parameters:
3938: + snes   - the `SNES` context
3939: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
3940: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
3941: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3942: . maxit  - the maximum number of iterations allowed in the solver, default 50.
3943: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

3945:   Options Database Keys:
3946: + -snes_atol abstol    - Sets `abstol`
3947: . -snes_rtol rtol      - Sets `rtol`
3948: . -snes_stol stol      - Sets `stol`
3949: . -snes_max_it maxit   - Sets `maxit`
3950: - -snes_max_funcs maxf - Sets `maxf` (use `unlimited` to have no maximum)

3952:   Level: intermediate

3954:   Note:
3955:   All parameters must be non-negative

3957:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
3958:   The default value is the value in the object when its type is set.

3960:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

3962:   Fortran Note:
3963:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

3965: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3966: @*/
3967: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3968: {
3969:   PetscFunctionBegin;

3977:   if (abstol == (PetscReal)PETSC_DETERMINE) {
3978:     snes->abstol = snes->default_abstol;
3979:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
3980:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3981:     snes->abstol = abstol;
3982:   }

3984:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3985:     snes->rtol = snes->default_rtol;
3986:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3987:     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);
3988:     snes->rtol = rtol;
3989:   }

3991:   if (stol == (PetscReal)PETSC_DETERMINE) {
3992:     snes->stol = snes->default_stol;
3993:   } else if (stol != (PetscReal)PETSC_CURRENT) {
3994:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3995:     snes->stol = stol;
3996:   }

3998:   if (maxit == PETSC_DETERMINE) {
3999:     snes->max_its = snes->default_max_its;
4000:   } else if (maxit == PETSC_UNLIMITED) {
4001:     snes->max_its = PETSC_INT_MAX;
4002:   } else if (maxit != PETSC_CURRENT) {
4003:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
4004:     snes->max_its = maxit;
4005:   }

4007:   if (maxf == PETSC_DETERMINE) {
4008:     snes->max_funcs = snes->default_max_funcs;
4009:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
4010:     snes->max_funcs = PETSC_UNLIMITED;
4011:   } else if (maxf != PETSC_CURRENT) {
4012:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
4013:     snes->max_funcs = maxf;
4014:   }
4015:   PetscFunctionReturn(PETSC_SUCCESS);
4016: }

4018: /*@
4019:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

4021:   Logically Collective

4023:   Input Parameters:
4024: + snes   - the `SNES` context
4025: - 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
4026:            is stopped due to divergence.

4028:   Options Database Key:
4029: . -snes_divergence_tolerance divtol - Sets `divtol`

4031:   Level: intermediate

4033:   Notes:
4034:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

4036:   Fortran Note:
4037:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

4039: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
4040: @*/
4041: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
4042: {
4043:   PetscFunctionBegin;

4047:   if (divtol == (PetscReal)PETSC_DETERMINE) {
4048:     snes->divtol = snes->default_divtol;
4049:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
4050:     snes->divtol = PETSC_UNLIMITED;
4051:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4052:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4053:     snes->divtol = divtol;
4054:   }
4055:   PetscFunctionReturn(PETSC_SUCCESS);
4056: }

4058: /*@
4059:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4061:   Not Collective

4063:   Input Parameter:
4064: . snes - the `SNES` context

4066:   Output Parameters:
4067: + atol  - the absolute convergence tolerance
4068: . rtol  - the relative convergence tolerance
4069: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4070: . maxit - the maximum number of iterations allowed
4071: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4073:   Level: intermediate

4075:   Notes:
4076:   See `SNESSetTolerances()` for details on the parameters.

4078:   The user can specify `NULL` for any parameter that is not needed.

4080: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4081: @*/
4082: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4083: {
4084:   PetscFunctionBegin;
4086:   if (atol) *atol = snes->abstol;
4087:   if (rtol) *rtol = snes->rtol;
4088:   if (stol) *stol = snes->stol;
4089:   if (maxit) *maxit = snes->max_its;
4090:   if (maxf) *maxf = snes->max_funcs;
4091:   PetscFunctionReturn(PETSC_SUCCESS);
4092: }

4094: /*@
4095:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4097:   Not Collective

4099:   Input Parameters:
4100: + snes   - the `SNES` context
4101: - divtol - divergence tolerance

4103:   Level: intermediate

4105: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4106: @*/
4107: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4108: {
4109:   PetscFunctionBegin;
4111:   if (divtol) *divtol = snes->divtol;
4112:   PetscFunctionReturn(PETSC_SUCCESS);
4113: }

4115: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4117: /*@C
4118:   SNESMonitorLGRange - Line-graph monitor that plots the residual norm together with residual-range statistics for a `SNESSolve()`

4120:   Collective

4122:   Input Parameters:
4123: + snes   - the `SNES` context
4124: . n      - the iteration number
4125: . rnorm  - the 2-norm of the residual
4126: - monctx - a `PetscViewer` of type `PETSCVIEWERDRAW` set up with `PetscViewerMonitorLGSetUp()`

4128:   Level: intermediate

4130:   Note:
4131:   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.

4133: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`, `SNESMonitorDefault()`, `PetscViewerDrawGetDrawLG()`, `PetscDrawLG`
4134: @*/
4135: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, PetscCtx monctx)
4136: {
4137:   PetscDrawLG      lg;
4138:   PetscReal        x, y, per;
4139:   PetscViewer      v = (PetscViewer)monctx;
4140:   static PetscReal prev; /* should be in the context */
4141:   PetscDraw        draw;

4143:   PetscFunctionBegin;
4145:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4146:   if (!n) PetscCall(PetscDrawLGReset(lg));
4147:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4148:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4149:   x = (PetscReal)n;
4150:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4151:   else y = -15.0;
4152:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4153:   if (n < 20 || !(n % 5) || snes->reason) {
4154:     PetscCall(PetscDrawLGDraw(lg));
4155:     PetscCall(PetscDrawLGSave(lg));
4156:   }

4158:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4159:   if (!n) PetscCall(PetscDrawLGReset(lg));
4160:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4161:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4162:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4163:   x = (PetscReal)n;
4164:   y = 100.0 * per;
4165:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4166:   if (n < 20 || !(n % 5) || snes->reason) {
4167:     PetscCall(PetscDrawLGDraw(lg));
4168:     PetscCall(PetscDrawLGSave(lg));
4169:   }

4171:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4172:   if (!n) {
4173:     prev = rnorm;
4174:     PetscCall(PetscDrawLGReset(lg));
4175:   }
4176:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4177:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4178:   x = (PetscReal)n;
4179:   y = (prev - rnorm) / prev;
4180:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4181:   if (n < 20 || !(n % 5) || snes->reason) {
4182:     PetscCall(PetscDrawLGDraw(lg));
4183:     PetscCall(PetscDrawLGSave(lg));
4184:   }

4186:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4187:   if (!n) PetscCall(PetscDrawLGReset(lg));
4188:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4189:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4190:   x = (PetscReal)n;
4191:   y = (prev - rnorm) / (prev * per);
4192:   if (n > 2) { /*skip initial crazy value */
4193:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4194:   }
4195:   if (n < 20 || !(n % 5) || snes->reason) {
4196:     PetscCall(PetscDrawLGDraw(lg));
4197:     PetscCall(PetscDrawLGSave(lg));
4198:   }
4199:   prev = rnorm;
4200:   PetscFunctionReturn(PETSC_SUCCESS);
4201: }

4203: /*@
4204:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4206:   Collective

4208:   Input Parameters:
4209: + snes  - the `SNES` context
4210: . it    - current iteration
4211: . xnorm - 2-norm of current iterate
4212: . snorm - 2-norm of current step
4213: - fnorm - 2-norm of function

4215:   Level: developer

4217:   Note:
4218:   This routine is called by the `SNESSolve()` implementations.
4219:   It does not typically need to be called by the user.

4221: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4222: @*/
4223: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4224: {
4225:   PetscFunctionBegin;
4226:   if (!snes->reason) {
4227:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4228:     if (it == snes->max_its && !snes->reason) {
4229:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4230:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4231:         snes->reason = SNES_DIVERGED_MAX_IT;
4232:       } else snes->reason = SNES_CONVERGED_ITS;
4233:     }
4234:   }
4235:   PetscFunctionReturn(PETSC_SUCCESS);
4236: }

4238: /*@
4239:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4241:   Collective

4243:   Input Parameters:
4244: + snes  - nonlinear solver context obtained from `SNESCreate()`
4245: . iter  - current iteration number
4246: - rnorm - current relative norm of the residual

4248:   Level: developer

4250:   Note:
4251:   This routine is called by the `SNESSolve()` implementations.
4252:   It does not typically need to be called by the user.

4254: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4255: @*/
4256: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4257: {
4258:   PetscInt i, n = snes->numbermonitors;

4260:   PetscFunctionBegin;
4261:   PetscCall(VecLockReadPush(snes->vec_sol));
4262:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4263:   PetscCall(VecLockReadPop(snes->vec_sol));
4264:   PetscFunctionReturn(PETSC_SUCCESS);
4265: }

4267: /* ------------ Routines to set performance monitoring options ----------- */

4269: /*MC
4270:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4272:      Synopsis:
4273: #include <petscsnes.h>
4274:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, PetscCtx mctx)

4276:      Collective

4278:     Input Parameters:
4279: +    snes - the `SNES` context
4280: .    its - iteration number
4281: .    norm - 2-norm function value (may be estimated)
4282: -    mctx - [optional] monitoring context

4284:    Level: advanced

4286: .seealso: [](ch_snes), `SNESMonitorSet()`, `PetscCtx`
4287: M*/

4289: /*@C
4290:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4291:   iteration of the `SNES` nonlinear solver to display the iteration's
4292:   progress.

4294:   Logically Collective

4296:   Input Parameters:
4297: + snes           - the `SNES` context
4298: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4299: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4300: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4302:   Calling sequence of f:
4303: + snes  - the `SNES` object
4304: . it    - the current iteration
4305: . rnorm - norm of the residual
4306: - mctx  - the optional monitor context

4308:   Options Database Keys:
4309: + -snes_monitor               - sets `SNESMonitorDefault()`
4310: . -snes_monitor draw::draw_lg - sets line graph monitor
4311: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4312:                                 the options database.

4314:   Level: intermediate

4316:   Note:
4317:   Several different monitoring routines may be set by calling
4318:   `SNESMonitorSet()` multiple times; all will be called in the
4319:   order in which they were set.

4321:   Fortran Note:
4322:   Only a single monitor function can be set for each `SNES` object

4324: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4325: @*/
4326: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscInt it, PetscReal rnorm, PetscCtx mctx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4327: {
4328:   PetscFunctionBegin;
4330:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4331:     PetscBool identical;

4333:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4334:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4335:   }
4336:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4337:   snes->monitor[snes->numbermonitors]          = f;
4338:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4339:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4340:   PetscFunctionReturn(PETSC_SUCCESS);
4341: }

4343: /*@
4344:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4346:   Logically Collective

4348:   Input Parameter:
4349: . snes - the `SNES` context

4351:   Options Database Key:
4352: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4353:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4354:                          set via the options database

4356:   Level: intermediate

4358:   Note:
4359:   There is no way to clear one specific monitor from a `SNES` object.

4361: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4362: @*/
4363: PetscErrorCode SNESMonitorCancel(SNES snes)
4364: {
4365:   PetscInt i;

4367:   PetscFunctionBegin;
4369:   for (i = 0; i < snes->numbermonitors; i++) {
4370:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4371:   }
4372:   snes->numbermonitors = 0;
4373:   PetscFunctionReturn(PETSC_SUCCESS);
4374: }

4376: /*@C
4377:   SNESSetConvergenceTest - Sets the function that is to be used
4378:   to test for convergence of the nonlinear iterative solution.

4380:   Logically Collective

4382:   Input Parameters:
4383: + snes    - the `SNES` context
4384: . func    - routine to test for convergence
4385: . ctx     - [optional] context for private data for the convergence routine  (may be `NULL`)
4386: - destroy - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4388:   Calling sequence of func:
4389: + snes   - the `SNES` context
4390: . it     - the current iteration number
4391: . xnorm  - the norm of the new solution
4392: . snorm  - the norm of the step
4393: . fnorm  - the norm of the function value
4394: . reason - output, the reason convergence or divergence as declared
4395: - ctx    - the optional convergence test context

4397:   Level: advanced

4399: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`
4400: @*/
4401: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm, SNESConvergedReason *reason, PetscCtx ctx), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4402: {
4403:   PetscFunctionBegin;
4405:   if (!func) func = SNESConvergedSkip;
4406:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4407:   snes->ops->converged        = func;
4408:   snes->ops->convergeddestroy = destroy;
4409:   snes->cnvP                  = ctx;
4410:   PetscFunctionReturn(PETSC_SUCCESS);
4411: }

4413: /*@
4414:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4416:   Not Collective

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

4421:   Output Parameter:
4422: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4424:   Options Database Key:
4425: . -snes_converged_reason - prints the reason to standard out

4427:   Level: intermediate

4429:   Note:
4430:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4432: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4433: @*/
4434: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4435: {
4436:   PetscFunctionBegin;
4438:   PetscAssertPointer(reason, 2);
4439:   *reason = snes->reason;
4440:   PetscFunctionReturn(PETSC_SUCCESS);
4441: }

4443: /*@C
4444:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4446:   Not Collective

4448:   Input Parameter:
4449: . snes - the `SNES` context

4451:   Output Parameter:
4452: . strreason - a human readable string that describes `SNES` converged reason

4454:   Level: beginner

4456: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4457: @*/
4458: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4459: {
4460:   PetscFunctionBegin;
4462:   PetscAssertPointer(strreason, 2);
4463:   *strreason = SNESConvergedReasons[snes->reason];
4464:   PetscFunctionReturn(PETSC_SUCCESS);
4465: }

4467: /*@
4468:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4470:   Not Collective

4472:   Input Parameters:
4473: + snes   - the `SNES` context
4474: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4475:             manual pages for the individual convergence tests for complete lists

4477:   Level: developer

4479:   Developer Note:
4480:   Called inside the various `SNESSolve()` implementations

4482: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4483: @*/
4484: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4485: {
4486:   PetscFunctionBegin;
4488:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4489:   snes->reason = reason;
4490:   PetscFunctionReturn(PETSC_SUCCESS);
4491: }

4493: /*@
4494:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4496:   Logically Collective

4498:   Input Parameters:
4499: + snes  - iterative context obtained from `SNESCreate()`
4500: . a     - array to hold history, this array will contain the function norms computed at each step
4501: . its   - integer array holds the number of linear iterations for each solve.
4502: . na    - size of `a` and `its`
4503: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4504:           else it continues storing new values for new nonlinear solves after the old ones

4506:   Level: intermediate

4508:   Notes:
4509:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4510:   default array of length 1,000 is allocated.

4512:   This routine is useful, e.g., when running a code for purposes
4513:   of accurate performance monitoring, when no I/O should be done
4514:   during the section of code that is being timed.

4516:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4518: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4519: @*/
4520: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4521: {
4522:   PetscFunctionBegin;
4524:   if (a) PetscAssertPointer(a, 2);
4525:   if (its) PetscAssertPointer(its, 3);
4526:   if (!a) {
4527:     if (na == PETSC_DECIDE) na = 1000;
4528:     PetscCall(PetscCalloc2(na, &a, na, &its));
4529:     snes->conv_hist_alloc = PETSC_TRUE;
4530:   }
4531:   snes->conv_hist       = a;
4532:   snes->conv_hist_its   = its;
4533:   snes->conv_hist_max   = (size_t)na;
4534:   snes->conv_hist_len   = 0;
4535:   snes->conv_hist_reset = reset;
4536:   PetscFunctionReturn(PETSC_SUCCESS);
4537: }

4539: #if defined(PETSC_HAVE_MATLAB)
4540:   #include <engine.h> /* MATLAB include file */
4541:   #include <mex.h>    /* MATLAB include file */

4543: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4544: {
4545:   mxArray   *mat;
4546:   PetscInt   i;
4547:   PetscReal *ar;

4549:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4550:   ar  = (PetscReal *)mxGetData(mat);
4551:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4552:   return mat;
4553: }
4554: #endif

4556: /*@C
4557:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4559:   Not Collective

4561:   Input Parameter:
4562: . snes - iterative context obtained from `SNESCreate()`

4564:   Output Parameters:
4565: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4566: . its - integer array holds the number of linear iterations (or
4567:          negative if not converged) for each solve.
4568: - na  - size of `a` and `its`

4570:   Level: intermediate

4572:   Note:
4573:   This routine is useful, e.g., when running a code for purposes
4574:   of accurate performance monitoring, when no I/O should be done
4575:   during the section of code that is being timed.

4577:   Fortran Notes:
4578:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4580:   Use the arguments
4581: .vb
4582:   PetscReal, pointer :: a(:)
4583:   PetscInt, pointer :: its(:)
4584: .ve

4586: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4587: @*/
4588: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4589: {
4590:   PetscFunctionBegin;
4592:   if (a) *a = snes->conv_hist;
4593:   if (its) *its = snes->conv_hist_its;
4594:   if (na) *na = (PetscInt)snes->conv_hist_len;
4595:   PetscFunctionReturn(PETSC_SUCCESS);
4596: }

4598: /*@C
4599:   SNESSetUpdate - Sets the general-purpose update function called
4600:   at the beginning of every iteration of the nonlinear solve. Specifically
4601:   it is called just before the Jacobian is "evaluated" and after the function
4602:   evaluation.

4604:   Logically Collective

4606:   Input Parameters:
4607: + snes - The nonlinear solver context
4608: - func - The update function; for calling sequence see `SNESUpdateFn`

4610:   Level: advanced

4612:   Notes:
4613:   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
4614:   to `SNESSetFunction()`, or `SNESSetPicard()`
4615:   This is not used by most users, and it is intended to provide a general hook that is run
4616:   right before the direction step is computed.

4618:   Users are free to modify the current residual vector,
4619:   the current linearization point, or any other vector associated to the specific solver used.
4620:   If such modifications take place, it is the user responsibility to update all the relevant
4621:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4622: .vb
4623:   PetscErrorCode update(SNES snes, PetscInt iteration)
4624:   {
4625:     PetscFunctionBeginUser;
4626:     if (iteration > 0) {
4627:       // update the model parameters here
4628:       Vec x,f;
4629:       PetscCall(SNESGetSolution(snes,&x));
4630:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4631:       PetscCall(SNESComputeFunction(snes,x,f));
4632:     }
4633:     PetscFunctionReturn(PETSC_SUCCESS);
4634:   }
4635: .ve

4637:   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.

4639: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4640:          `SNESMonitorSet()`
4641: @*/
4642: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4643: {
4644:   PetscFunctionBegin;
4646:   snes->ops->update = func;
4647:   PetscFunctionReturn(PETSC_SUCCESS);
4648: }

4650: /*@
4651:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4653:   Collective

4655:   Input Parameters:
4656: + snes   - iterative context obtained from `SNESCreate()`
4657: - viewer - the viewer to display the reason

4659:   Options Database Keys:
4660: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4661: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4663:   Level: beginner

4665:   Note:
4666:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4667:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4669: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4670:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4671:           `SNESConvergedReasonViewFromOptions()`,
4672:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4673: @*/
4674: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4675: {
4676:   PetscViewerFormat format;
4677:   PetscBool         isAscii;

4679:   PetscFunctionBegin;
4680:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4681:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4682:   if (isAscii) {
4683:     PetscCall(PetscViewerGetFormat(viewer, &format));
4684:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4685:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4686:       DM       dm;
4687:       Vec      u;
4688:       PetscDS  prob;
4689:       PetscInt Nf, f;
4690:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4691:       void    **exactCtx;
4692:       PetscReal error;

4694:       PetscCall(SNESGetDM(snes, &dm));
4695:       PetscCall(SNESGetSolution(snes, &u));
4696:       PetscCall(DMGetDS(dm, &prob));
4697:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4698:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4699:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4700:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4701:       PetscCall(PetscFree2(exactSol, exactCtx));
4702:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4703:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4704:     }
4705:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4706:       if (((PetscObject)snes)->prefix) {
4707:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4708:       } else {
4709:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4710:       }
4711:     } else if (snes->reason <= 0) {
4712:       if (((PetscObject)snes)->prefix) {
4713:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4714:       } else {
4715:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4716:       }
4717:     }
4718:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4719:   }
4720:   PetscFunctionReturn(PETSC_SUCCESS);
4721: }

4723: /*@C
4724:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4725:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4727:   Logically Collective

4729:   Input Parameters:
4730: + snes              - the `SNES` context
4731: . f                 - the `SNESConvergedReason` view function
4732: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4733: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4735:   Calling sequence of `f`:
4736: + snes - the `SNES` context
4737: - vctx - [optional] context for private data for the function

4739:   Options Database Keys:
4740: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4741: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4742:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4744:   Level: intermediate

4746:   Note:
4747:   Several different converged reason view routines may be set by calling
4748:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4749:   order in which they were set.

4751: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4752:           `PetscCtxDestroyFn`
4753: @*/
4754: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscCtx vctx), PetscCtx vctx, PetscCtxDestroyFn *reasonviewdestroy)
4755: {
4756:   PetscFunctionBegin;
4758:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4759:     PetscBool identical;

4761:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4762:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4763:   }
4764:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4765:   snes->reasonview[snes->numberreasonviews]          = f;
4766:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4767:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4768:   PetscFunctionReturn(PETSC_SUCCESS);
4769: }

4771: /*@
4772:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4773:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4775:   Collective

4777:   Input Parameter:
4778: . snes - the `SNES` object

4780:   Level: advanced

4782:   Note:
4783:   This function has a different API and behavior than `PetscObjectViewFromOptions()`

4785: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4786:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4787: @*/
4788: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4789: {
4790:   static PetscBool incall = PETSC_FALSE;

4792:   PetscFunctionBegin;
4793:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4794:   incall = PETSC_TRUE;

4796:   /* All user-provided viewers are called first, if they exist. */
4797:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4799:   /* Call PETSc default routine if users ask for it */
4800:   if (snes->convergedreasonviewer) {
4801:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4802:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4803:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4804:   }
4805:   incall = PETSC_FALSE;
4806:   PetscFunctionReturn(PETSC_SUCCESS);
4807: }

4809: /*@
4810:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4812:   Collective

4814:   Input Parameters:
4815: + snes - the `SNES` context
4816: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4817: - x    - the solution vector.

4819:   Level: beginner

4821:   Note:
4822:   The user should initialize the vector, `x`, with the initial guess
4823:   for the nonlinear solve prior to calling `SNESSolve()` .

4825: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4826:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4827:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4828: @*/
4829: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4830: {
4831:   PetscBool flg;
4832:   PetscInt  grid;
4833:   Vec       xcreated = NULL;
4834:   DM        dm;

4836:   PetscFunctionBegin;
4839:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4841:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4843:   /* High level operations using the nonlinear solver */
4844:   {
4845:     PetscViewer       viewer;
4846:     PetscViewerFormat format;
4847:     PetscInt          num;
4848:     PetscBool         flg;
4849:     static PetscBool  incall = PETSC_FALSE;

4851:     if (!incall) {
4852:       /* Estimate the convergence rate of the discretization */
4853:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4854:       if (flg) {
4855:         PetscConvEst conv;
4856:         DM           dm;
4857:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4858:         PetscInt     Nf;

4860:         incall = PETSC_TRUE;
4861:         PetscCall(SNESGetDM(snes, &dm));
4862:         PetscCall(DMGetNumFields(dm, &Nf));
4863:         PetscCall(PetscCalloc1(Nf, &alpha));
4864:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4865:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4866:         PetscCall(PetscConvEstSetFromOptions(conv));
4867:         PetscCall(PetscConvEstSetUp(conv));
4868:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4869:         PetscCall(PetscViewerPushFormat(viewer, format));
4870:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4871:         PetscCall(PetscViewerPopFormat(viewer));
4872:         PetscCall(PetscViewerDestroy(&viewer));
4873:         PetscCall(PetscConvEstDestroy(&conv));
4874:         PetscCall(PetscFree(alpha));
4875:         incall = PETSC_FALSE;
4876:       }
4877:       /* Adaptively refine the initial grid */
4878:       num = 1;
4879:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4880:       if (flg) {
4881:         DMAdaptor adaptor;

4883:         incall = PETSC_TRUE;
4884:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4885:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4886:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4887:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4888:         PetscCall(DMAdaptorSetUp(adaptor));
4889:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4890:         PetscCall(DMAdaptorDestroy(&adaptor));
4891:         incall = PETSC_FALSE;
4892:       }
4893:       /* Use grid sequencing to adapt */
4894:       num = 0;
4895:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4896:       if (num) {
4897:         DMAdaptor   adaptor;
4898:         const char *prefix;

4900:         incall = PETSC_TRUE;
4901:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4902:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4903:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4904:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4905:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4906:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4907:         PetscCall(DMAdaptorSetUp(adaptor));
4908:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4909:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4910:         PetscCall(DMAdaptorDestroy(&adaptor));
4911:         incall = PETSC_FALSE;
4912:       }
4913:     }
4914:   }
4915:   if (!x) x = snes->vec_sol;
4916:   if (!x) {
4917:     PetscCall(SNESGetDM(snes, &dm));
4918:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4919:     x = xcreated;
4920:   }
4921:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4923:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4924:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4925:     /* set solution vector */
4926:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4927:     PetscCall(VecDestroy(&snes->vec_sol));
4928:     snes->vec_sol = x;
4929:     PetscCall(SNESGetDM(snes, &dm));

4931:     /* set affine vector if provided */
4932:     PetscCall(PetscObjectReference((PetscObject)b));
4933:     PetscCall(VecDestroy(&snes->vec_rhs));
4934:     snes->vec_rhs = b;

4936:     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");
4937:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4938:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4939:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4940:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4941:     PetscCall(SNESSetUp(snes));

4943:     if (!grid) {
4944:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4945:     }

4947:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4948:     PetscCall(SNESResetCounters(snes));
4949:     snes->reason = SNES_CONVERGED_ITERATING;
4950:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4951:     PetscUseTypeMethod(snes, solve);
4952:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4953:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4954:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
4955:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
4956:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

4958:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4959:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4961:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4962:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4963:     /* Call converged reason views. This may involve user-provided viewers as well */
4964:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4966:     if (snes->errorifnotconverged) {
4967:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
4968:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4969:     }
4970:     if (snes->reason < 0) break;
4971:     if (grid < snes->gridsequence) {
4972:       DM  fine;
4973:       Vec xnew;
4974:       Mat interp;

4976:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4977:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4978:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4979:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4980:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4981:       PetscCall(MatInterpolate(interp, x, xnew));
4982:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4983:       PetscCall(MatDestroy(&interp));
4984:       x = xnew;

4986:       PetscCall(SNESReset(snes));
4987:       PetscCall(SNESSetDM(snes, fine));
4988:       PetscCall(SNESResetFromOptions(snes));
4989:       PetscCall(DMDestroy(&fine));
4990:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4991:     }
4992:   }
4993:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4994:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4995:   PetscCall(DMMonitor(snes->dm));
4996:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4998:   PetscCall(VecDestroy(&xcreated));
4999:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
5000:   PetscFunctionReturn(PETSC_SUCCESS);
5001: }

5003: /* --------- Internal routines for SNES Package --------- */

5005: /*@
5006:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

5008:   Collective

5010:   Input Parameters:
5011: + snes - the `SNES` context
5012: - type - a known method

5014:   Options Database Key:
5015: . -snes_type type - Sets the method; see `SNESType`

5017:   Level: intermediate

5019:   Notes:
5020:   See `SNESType` for available methods (for instance)
5021: +    `SNESNEWTONLS` - Newton's method with line search
5022:   (systems of nonlinear equations)
5023: -    `SNESNEWTONTR` - Newton's method with trust region
5024:   (systems of nonlinear equations)

5026:   Normally, it is best to use the `SNESSetFromOptions()` command and then
5027:   set the `SNES` solver type from the options database rather than by using
5028:   this routine.  Using the options database provides the user with
5029:   maximum flexibility in evaluating the many nonlinear solvers.
5030:   The `SNESSetType()` routine is provided for those situations where it
5031:   is necessary to set the nonlinear solver independently of the command
5032:   line or options database.  This might be the case, for example, when
5033:   the choice of solver changes during the execution of the program,
5034:   and the user's application is taking responsibility for choosing the
5035:   appropriate method.

5037:   Developer Note:
5038:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
5039:   the constructor in that list and calls it to create the specific object.

5041: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
5042: @*/
5043: PetscErrorCode SNESSetType(SNES snes, SNESType type)
5044: {
5045:   PetscBool match;
5046:   PetscErrorCode (*r)(SNES);

5048:   PetscFunctionBegin;
5050:   PetscAssertPointer(type, 2);

5052:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
5053:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

5055:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
5056:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
5057:   /* Destroy the previous private SNES context */
5058:   PetscTryTypeMethod(snes, destroy);
5059:   /* Reinitialize type-specific function pointers in SNESOps structure */
5060:   snes->ops->reset          = NULL;
5061:   snes->ops->setup          = NULL;
5062:   snes->ops->solve          = NULL;
5063:   snes->ops->view           = NULL;
5064:   snes->ops->setfromoptions = NULL;
5065:   snes->ops->destroy        = NULL;

5067:   /* It may happen the user has customized the line search before calling SNESSetType */
5068:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5070:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5071:   snes->setupcalled = PETSC_FALSE;

5073:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5074:   PetscCall((*r)(snes));
5075:   PetscFunctionReturn(PETSC_SUCCESS);
5076: }

5078: /*@
5079:   SNESGetType - Gets the `SNES` method type and name (as a string).

5081:   Not Collective

5083:   Input Parameter:
5084: . snes - nonlinear solver context

5086:   Output Parameter:
5087: . type - `SNES` method (a character string)

5089:   Level: intermediate

5091:   Note:
5092:   `type` should not be retained for later use as it will be an invalid pointer if the `SNESType` of `snes` is changed.

5094: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`, `PetscObjectTypeCompare()`, `PetscObjectTypeCompareAny()`
5095: @*/
5096: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5097: {
5098:   PetscFunctionBegin;
5100:   PetscAssertPointer(type, 2);
5101:   *type = ((PetscObject)snes)->type_name;
5102:   PetscFunctionReturn(PETSC_SUCCESS);
5103: }

5105: /*@
5106:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5108:   Logically Collective

5110:   Input Parameters:
5111: + snes - the `SNES` context obtained from `SNESCreate()`
5112: - u    - the solution vector

5114:   Level: beginner

5116: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5117: @*/
5118: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5119: {
5120:   DM dm;

5122:   PetscFunctionBegin;
5125:   PetscCall(PetscObjectReference((PetscObject)u));
5126:   PetscCall(VecDestroy(&snes->vec_sol));

5128:   snes->vec_sol = u;

5130:   PetscCall(SNESGetDM(snes, &dm));
5131:   PetscCall(DMShellSetGlobalVector(dm, u));
5132:   PetscFunctionReturn(PETSC_SUCCESS);
5133: }

5135: /*@
5136:   SNESGetSolution - Returns the vector where the approximate solution is
5137:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5139:   Not Collective, but `x` is parallel if `snes` is parallel

5141:   Input Parameter:
5142: . snes - the `SNES` context

5144:   Output Parameter:
5145: . x - the solution

5147:   Level: intermediate

5149: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5150: @*/
5151: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5152: {
5153:   PetscFunctionBegin;
5155:   PetscAssertPointer(x, 2);
5156:   *x = snes->vec_sol;
5157:   PetscFunctionReturn(PETSC_SUCCESS);
5158: }

5160: /*@
5161:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5162:   stored.

5164:   Not Collective, but `x` is parallel if `snes` is parallel

5166:   Input Parameter:
5167: . snes - the `SNES` context

5169:   Output Parameter:
5170: . x - the solution update

5172:   Level: advanced

5174: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5175: @*/
5176: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5177: {
5178:   PetscFunctionBegin;
5180:   PetscAssertPointer(x, 2);
5181:   *x = snes->vec_sol_update;
5182:   PetscFunctionReturn(PETSC_SUCCESS);
5183: }

5185: /*@C
5186:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5188:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5190:   Input Parameter:
5191: . snes - the `SNES` context

5193:   Output Parameters:
5194: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5195: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5196: - ctx - the function context (or `NULL` if you don't want it)

5198:   Level: advanced

5200:   Note:
5201:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5203: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5204: @*/
5205: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5206: {
5207:   DM dm;

5209:   PetscFunctionBegin;
5211:   if (r) {
5212:     if (!snes->vec_func) {
5213:       if (snes->vec_rhs) {
5214:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5215:       } else if (snes->vec_sol) {
5216:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5217:       } else if (snes->dm) {
5218:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5219:       }
5220:     }
5221:     *r = snes->vec_func;
5222:   }
5223:   PetscCall(SNESGetDM(snes, &dm));
5224:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5225:   PetscFunctionReturn(PETSC_SUCCESS);
5226: }

5228: /*@C
5229:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5231:   Input Parameter:
5232: . snes - the `SNES` context

5234:   Output Parameters:
5235: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5236: - ctx - the function context (or `NULL`)

5238:   Level: advanced

5240: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5241: @*/
5242: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5243: {
5244:   DM dm;

5246:   PetscFunctionBegin;
5248:   PetscCall(SNESGetDM(snes, &dm));
5249:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5250:   PetscFunctionReturn(PETSC_SUCCESS);
5251: }

5253: /*@
5254:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5255:   `SNES` options in the database.

5257:   Logically Collective

5259:   Input Parameters:
5260: + snes   - the `SNES` context
5261: - prefix - the prefix to prepend to all option names

5263:   Level: advanced

5265:   Note:
5266:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5267:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5269: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5270: @*/
5271: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5272: {
5273:   PetscFunctionBegin;
5275:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5276:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5277:   if (snes->linesearch) {
5278:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5279:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5280:   }
5281:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5282:   PetscFunctionReturn(PETSC_SUCCESS);
5283: }

5285: /*@
5286:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5287:   `SNES` options in the database.

5289:   Logically Collective

5291:   Input Parameters:
5292: + snes   - the `SNES` context
5293: - prefix - the prefix to prepend to all option names

5295:   Level: advanced

5297:   Note:
5298:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5299:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5301: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5302: @*/
5303: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5304: {
5305:   PetscFunctionBegin;
5307:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5308:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5309:   if (snes->linesearch) {
5310:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5311:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5312:   }
5313:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5314:   PetscFunctionReturn(PETSC_SUCCESS);
5315: }

5317: /*@
5318:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5319:   `SNES` options in the database.

5321:   Not Collective

5323:   Input Parameter:
5324: . snes - the `SNES` context

5326:   Output Parameter:
5327: . prefix - pointer to the prefix string used

5329:   Level: advanced

5331: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5332: @*/
5333: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5334: {
5335:   PetscFunctionBegin;
5337:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5338:   PetscFunctionReturn(PETSC_SUCCESS);
5339: }

5341: /*@C
5342:   SNESRegister - Adds a method to the nonlinear solver package.

5344:   Not Collective

5346:   Input Parameters:
5347: + sname    - name of a new user-defined solver
5348: - function - routine to create method context

5350:   Level: advanced

5352:   Note:
5353:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5355:   Example Usage:
5356: .vb
5357:    SNESRegister("my_solver", MySolverCreate);
5358: .ve

5360:   Then, your solver can be chosen with the procedural interface via
5361: .vb
5362:   SNESSetType(snes, "my_solver")
5363: .ve
5364:   or at runtime via the option
5365: .vb
5366:   -snes_type my_solver
5367: .ve

5369: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5370: @*/
5371: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5372: {
5373:   PetscFunctionBegin;
5374:   PetscCall(SNESInitializePackage());
5375:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5376:   PetscFunctionReturn(PETSC_SUCCESS);
5377: }

5379: /*@
5380:   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

5382:   Collective

5384:   Input Parameter:
5385: . snes - the `SNES` context

5387:   Level: developer

5389:   Note:
5390:   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.

5392: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESComputeFunction()`
5393: @*/
5394: PetscErrorCode SNESTestLocalMin(SNES snes)
5395: {
5396:   PetscInt    N, i, j;
5397:   Vec         u, uh, fh;
5398:   PetscScalar value;
5399:   PetscReal   norm;

5401:   PetscFunctionBegin;
5402:   PetscCall(SNESGetSolution(snes, &u));
5403:   PetscCall(VecDuplicate(u, &uh));
5404:   PetscCall(VecDuplicate(u, &fh));

5406:   /* currently only works for sequential */
5407:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5408:   PetscCall(VecGetSize(u, &N));
5409:   for (i = 0; i < N; i++) {
5410:     PetscCall(VecCopy(u, uh));
5411:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5412:     for (j = -10; j < 11; j++) {
5413:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5414:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5415:       PetscCall(SNESComputeFunction(snes, uh, fh));
5416:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5417:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5418:       value = -value;
5419:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5420:     }
5421:   }
5422:   PetscCall(VecDestroy(&uh));
5423:   PetscCall(VecDestroy(&fh));
5424:   PetscFunctionReturn(PETSC_SUCCESS);
5425: }

5427: /*@
5428:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5430:   Not Collective

5432:   Input Parameter:
5433: . snes - iterative context obtained from `SNESCreate()`

5435:   Output Parameter:
5436: . linesearch - linesearch context

5438:   Level: beginner

5440:   Notes:
5441:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5443:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5445: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5446: @*/
5447: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5448: {
5449:   const char *optionsprefix;

5451:   PetscFunctionBegin;
5453:   PetscAssertPointer(linesearch, 2);
5454:   if (!snes->linesearch) {
5455:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5456:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5457:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5458:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5459:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5460:   }
5461:   *linesearch = snes->linesearch;
5462:   PetscFunctionReturn(PETSC_SUCCESS);
5463: }

5465: /*@
5466:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5467:   computing relative tolerance for linear solvers within an inexact
5468:   Newton method.

5470:   Logically Collective

5472:   Input Parameters:
5473: + snes - `SNES` context
5474: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5476:   Options Database Keys:
5477: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
5478: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
5479: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
5480: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
5481: . -snes_ksp_ew_gamma gamma         - Sets gamma
5482: . -snes_ksp_ew_alpha alpha         - Sets alpha
5483: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
5484: - -snes_ksp_ew_threshold threshold - Sets threshold

5486:   Level: advanced

5488:   Note:
5489:   The default is to use a constant relative tolerance for
5490:   the inner linear solvers.  Alternatively, one can use the
5491:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5492:   is reset at each Newton iteration according progress of the nonlinear
5493:   solver.

5495: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5496: @*/
5497: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5498: {
5499:   PetscFunctionBegin;
5502:   snes->ksp_ewconv = flag;
5503:   PetscFunctionReturn(PETSC_SUCCESS);
5504: }

5506: /*@
5507:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5508:   for computing relative tolerance for linear solvers within an
5509:   inexact Newton method.

5511:   Not Collective

5513:   Input Parameter:
5514: . snes - `SNES` context

5516:   Output Parameter:
5517: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5519:   Level: advanced

5521: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5522: @*/
5523: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5524: {
5525:   PetscFunctionBegin;
5527:   PetscAssertPointer(flag, 2);
5528:   *flag = snes->ksp_ewconv;
5529:   PetscFunctionReturn(PETSC_SUCCESS);
5530: }

5532: /*@
5533:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5534:   convergence criteria for the linear solvers within an inexact
5535:   Newton method.

5537:   Logically Collective

5539:   Input Parameters:
5540: + snes      - `SNES` context
5541: . version   - version 1, 2 (default is 2), 3 or 4
5542: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5543: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5544: . gamma     - multiplicative factor for version 2 rtol computation
5545:              (0 <= gamma2 <= 1)
5546: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5547: . alpha2    - power for safeguard
5548: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5550:   Level: advanced

5552:   Notes:
5553:   Version 3 was contributed by Luis Chacon, June 2006.

5555:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5557: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5558: @*/
5559: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5560: {
5561:   SNESKSPEW *kctx;

5563:   PetscFunctionBegin;
5565:   kctx = (SNESKSPEW *)snes->kspconvctx;
5566:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5575:   if (version != PETSC_CURRENT) kctx->version = version;
5576:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5577:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5578:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5579:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5580:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5581:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5583:   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);
5584:   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);
5585:   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);
5586:   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);
5587:   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);
5588:   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);
5589:   PetscFunctionReturn(PETSC_SUCCESS);
5590: }

5592: /*@
5593:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5594:   convergence criteria for the linear solvers within an inexact
5595:   Newton method.

5597:   Not Collective

5599:   Input Parameter:
5600: . snes - `SNES` context

5602:   Output Parameters:
5603: + version   - version 1, 2 (default is 2), 3 or 4
5604: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5605: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5606: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5607: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5608: . alpha2    - power for safeguard
5609: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5611:   Level: advanced

5613: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5614: @*/
5615: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5616: {
5617:   SNESKSPEW *kctx;

5619:   PetscFunctionBegin;
5621:   kctx = (SNESKSPEW *)snes->kspconvctx;
5622:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5623:   if (version) *version = kctx->version;
5624:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5625:   if (rtol_max) *rtol_max = kctx->rtol_max;
5626:   if (gamma) *gamma = kctx->gamma;
5627:   if (alpha) *alpha = kctx->alpha;
5628:   if (alpha2) *alpha2 = kctx->alpha2;
5629:   if (threshold) *threshold = kctx->threshold;
5630:   PetscFunctionReturn(PETSC_SUCCESS);
5631: }

5633: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5634: {
5635:   SNES       snes = (SNES)ctx;
5636:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5637:   PetscReal  rtol = PETSC_CURRENT, stol;

5639:   PetscFunctionBegin;
5640:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5641:   if (!snes->iter) {
5642:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5643:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5644:   } else {
5645:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5646:     if (kctx->version == 1) {
5647:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5648:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5649:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5650:     } else if (kctx->version == 2) {
5651:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5652:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5653:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5654:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5655:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5656:       /* safeguard: avoid sharp decrease of rtol */
5657:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5658:       stol = PetscMax(rtol, stol);
5659:       rtol = PetscMin(kctx->rtol_0, stol);
5660:       /* safeguard: avoid oversolving */
5661:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5662:       stol = PetscMax(rtol, stol);
5663:       rtol = PetscMin(kctx->rtol_0, stol);
5664:     } else /* if (kctx->version == 4) */ {
5665:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5666:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5667:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5668:       PetscReal rk   = ared / pred;
5669:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5670:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5671:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5672:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5674:       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;
5675:       kctx->rtol_last_2 = kctx->rtol_last;
5676:       kctx->rk_last_2   = kctx->rk_last;
5677:       kctx->rk_last     = rk;
5678:     }
5679:   }
5680:   /* safeguard: avoid rtol greater than rtol_max */
5681:   rtol = PetscMin(rtol, kctx->rtol_max);
5682:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5683:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5684:   PetscFunctionReturn(PETSC_SUCCESS);
5685: }

5687: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5688: {
5689:   SNES       snes = (SNES)ctx;
5690:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5691:   PCSide     pcside;
5692:   Vec        lres;

5694:   PetscFunctionBegin;
5695:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5696:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5697:   kctx->norm_last = snes->norm;
5698:   if (kctx->version == 1 || kctx->version == 4) {
5699:     PC        pc;
5700:     PetscBool getRes;

5702:     PetscCall(KSPGetPC(ksp, &pc));
5703:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5704:     if (!getRes) {
5705:       KSPNormType normtype;

5707:       PetscCall(KSPGetNormType(ksp, &normtype));
5708:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5709:     }
5710:     PetscCall(KSPGetPCSide(ksp, &pcside));
5711:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5712:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5713:     } else {
5714:       /* KSP residual is preconditioned residual */
5715:       /* compute true linear residual norm */
5716:       Mat J;
5717:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5718:       PetscCall(VecDuplicate(b, &lres));
5719:       PetscCall(MatMult(J, x, lres));
5720:       PetscCall(VecAYPX(lres, -1.0, b));
5721:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5722:       PetscCall(VecDestroy(&lres));
5723:     }
5724:   }
5725:   PetscFunctionReturn(PETSC_SUCCESS);
5726: }

5728: /*@
5729:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5731:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5733:   Input Parameter:
5734: . snes - the `SNES` context

5736:   Output Parameter:
5737: . ksp - the `KSP` context

5739:   Level: beginner

5741:   Notes:
5742:   The user can then directly manipulate the `KSP` context to set various
5743:   options, etc.  Likewise, the user can then extract and manipulate the
5744:   `PC` contexts as well.

5746:   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.

5748: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5749: @*/
5750: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5751: {
5752:   PetscFunctionBegin;
5754:   PetscAssertPointer(ksp, 2);

5756:   if (!snes->ksp) {
5757:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5758:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5760:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5761:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5763:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5764:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5765:   }
5766:   *ksp = snes->ksp;
5767:   PetscFunctionReturn(PETSC_SUCCESS);
5768: }

5770: #include <petsc/private/dmimpl.h>
5771: /*@
5772:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5774:   Logically Collective

5776:   Input Parameters:
5777: + snes - the nonlinear solver context
5778: - dm   - the `DM`, cannot be `NULL`

5780:   Level: intermediate

5782:   Note:
5783:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5784:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5785:   problems using the same function space.

5787: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5788: @*/
5789: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5790: {
5791:   KSP    ksp;
5792:   DMSNES sdm;

5794:   PetscFunctionBegin;
5797:   PetscCall(PetscObjectReference((PetscObject)dm));
5798:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5799:     if (snes->dm->dmsnes && !dm->dmsnes) {
5800:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5801:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5802:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5803:     }
5804:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5805:     PetscCall(DMDestroy(&snes->dm));
5806:   }
5807:   snes->dm     = dm;
5808:   snes->dmAuto = PETSC_FALSE;

5810:   PetscCall(SNESGetKSP(snes, &ksp));
5811:   PetscCall(KSPSetDM(ksp, dm));
5812:   PetscCall(KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE));
5813:   if (snes->npc) {
5814:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5815:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5816:   }
5817:   PetscFunctionReturn(PETSC_SUCCESS);
5818: }

5820: /*@
5821:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5823:   Not Collective but `dm` obtained is parallel on `snes`

5825:   Input Parameter:
5826: . snes - the `SNES` context

5828:   Output Parameter:
5829: . dm - the `DM`

5831:   Level: intermediate

5833: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5834: @*/
5835: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5836: {
5837:   PetscFunctionBegin;
5839:   if (!snes->dm) {
5840:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5841:     snes->dmAuto = PETSC_TRUE;
5842:   }
5843:   *dm = snes->dm;
5844:   PetscFunctionReturn(PETSC_SUCCESS);
5845: }

5847: /*@
5848:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5850:   Collective

5852:   Input Parameters:
5853: + snes - iterative context obtained from `SNESCreate()`
5854: - npc  - the `SNES` nonlinear preconditioner object

5856:   Options Database Key:
5857: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5859:   Level: developer

5861:   Notes:
5862:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5864:   Only some `SNESType` can use a nonlinear preconditioner

5866: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5867: @*/
5868: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5869: {
5870:   PetscFunctionBegin;
5873:   PetscCheckSameComm(snes, 1, npc, 2);
5874:   PetscCall(PetscObjectReference((PetscObject)npc));
5875:   PetscCall(SNESDestroy(&snes->npc));
5876:   snes->npc = npc;
5877:   PetscFunctionReturn(PETSC_SUCCESS);
5878: }

5880: /*@
5881:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5883:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5885:   Input Parameter:
5886: . snes - iterative context obtained from `SNESCreate()`

5888:   Output Parameter:
5889: . pc - the `SNES` preconditioner context

5891:   Options Database Key:
5892: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5894:   Level: advanced

5896:   Notes:
5897:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5898:   be used as the nonlinear preconditioner for the current `SNES`.

5900:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5901:   `SNES`. These may be overwritten if needed.

5903:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5905: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5906: @*/
5907: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5908: {
5909:   const char *optionsprefix;

5911:   PetscFunctionBegin;
5913:   PetscAssertPointer(pc, 2);
5914:   if (!snes->npc) {
5915:     PetscCtx ctx;

5917:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5918:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5919:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5920:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5921:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5922:     if (snes->ops->ctxcompute) {
5923:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->ctxcompute, snes->ops->ctxdestroy));
5924:     } else {
5925:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5926:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5927:     }
5928:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5929:   }
5930:   *pc = snes->npc;
5931:   PetscFunctionReturn(PETSC_SUCCESS);
5932: }

5934: /*@
5935:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5937:   Not Collective

5939:   Input Parameter:
5940: . snes - iterative context obtained from `SNESCreate()`

5942:   Output Parameter:
5943: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5945:   Level: developer

5947: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5948: @*/
5949: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5950: {
5951:   PetscFunctionBegin;
5953:   PetscAssertPointer(has_npc, 2);
5954:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5955:   PetscFunctionReturn(PETSC_SUCCESS);
5956: }

5958: /*@
5959:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5961:   Logically Collective

5963:   Input Parameter:
5964: . snes - iterative context obtained from `SNESCreate()`

5966:   Output Parameter:
5967: . side - the preconditioning side, where side is one of
5968: .vb
5969:       PC_LEFT  - left preconditioning
5970:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5971: .ve

5973:   Options Database Key:
5974: . -snes_npc_side (right|left) - nonlinear preconditioner side

5976:   Level: intermediate

5978:   Note:
5979:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5981: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5982: @*/
5983: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5984: {
5985:   PetscFunctionBegin;
5988:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5989:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5990:   snes->npcside = side;
5991:   PetscFunctionReturn(PETSC_SUCCESS);
5992: }

5994: /*@
5995:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5997:   Not Collective

5999:   Input Parameter:
6000: . snes - iterative context obtained from `SNESCreate()`

6002:   Output Parameter:
6003: . side - the preconditioning side, where side is one of
6004: .vb
6005:       `PC_LEFT` - left preconditioning
6006:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
6007: .ve

6009:   Level: intermediate

6011: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
6012: @*/
6013: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
6014: {
6015:   PetscFunctionBegin;
6017:   PetscAssertPointer(side, 2);
6018:   *side = snes->npcside;
6019:   PetscFunctionReturn(PETSC_SUCCESS);
6020: }

6022: /*@
6023:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

6025:   Collective

6027:   Input Parameters:
6028: + snes       - iterative context obtained from `SNESCreate()`
6029: - linesearch - the linesearch object

6031:   Level: developer

6033:   Note:
6034:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
6035:   to configure it using the API).

6037: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
6038: @*/
6039: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
6040: {
6041:   PetscFunctionBegin;
6044:   PetscCheckSameComm(snes, 1, linesearch, 2);
6045:   PetscCall(PetscObjectReference((PetscObject)linesearch));
6046:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

6048:   snes->linesearch = linesearch;
6049:   PetscFunctionReturn(PETSC_SUCCESS);
6050: }