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:   Vec            u;
391:   SNESLineSearch linesearch;
392:   PetscBool      isascii, isstring, isbinary, isdraw;
393:   DMSNES         dmsnes;
394: #if defined(PETSC_HAVE_SAWS)
395:   PetscBool issaws;
396: #endif

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

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

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

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

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

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

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

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

569: /*
570:   We retain a list of functions that also take SNES command
571:   line options. These are called at the end SNESSetFromOptions()
572: */
573: #define MAXSETFROMOPTIONS 5
574: static PetscInt numberofsetfromoptions;
575: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

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

580:   Not Collective

582:   Input Parameter:
583: . snescheck - function that checks for options

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

588:   Level: developer

590: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
591: @*/
592: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
593: {
594:   PetscFunctionBegin;
595:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
596:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
597:   PetscFunctionReturn(PETSC_SUCCESS);
598: }

600: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
601: {
602:   Mat          J;
603:   MatNullSpace nullsp;

605:   PetscFunctionBegin;

608:   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
609:     Mat A = snes->jacobian, B = snes->jacobian_pre;
610:     PetscCall(MatCreateVecs(A ? A : B, NULL, &snes->vec_func));
611:   }

613:   PetscCheck(version == 1 || version == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "matrix-free operator routines, only version 1 and 2");
614:   if (version == 1) {
615:     PetscCall(MatCreateSNESMF(snes, &J));
616:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
617:     PetscCall(MatSetFromOptions(J));
618:     /* TODO: the version 2 code should be merged into the MatCreateSNESMF() and MatCreateMFFD() infrastructure and then removed */
619:   } else /* if (version == 2) */ {
620:     PetscCheck(snes->vec_func, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "SNESSetFunction() must be called first");
621: #if !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128) && !defined(PETSC_USE_REAL___FP16)
622:     PetscCall(MatCreateSNESMFMore(snes, snes->vec_func, &J));
623: #else
624:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix-free operator routines (version 2)");
625: #endif
626:   }

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

634:   PetscCall(PetscInfo(snes, "Setting default matrix-free operator routines (version %" PetscInt_FMT ")\n", version));
635:   if (hasOperator) {
636:     /* This version replaces the user provided Jacobian matrix with a
637:        matrix-free version but still employs the user-provided matrix used for computing the preconditioner. */
638:     PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
639:   } else {
640:     /* This version replaces both the user-provided Jacobian and the user-
641:      provided preconditioner Jacobian with the default matrix-free version. */
642:     if (snes->npcside == PC_LEFT && snes->npc) {
643:       if (!snes->jacobian) PetscCall(SNESSetJacobian(snes, J, NULL, NULL, NULL));
644:     } else {
645:       KSP       ksp;
646:       PC        pc;
647:       PetscBool match;

649:       PetscCall(SNESSetJacobian(snes, J, J, MatMFFDComputeJacobian, NULL));
650:       /* Force no preconditioner */
651:       PetscCall(SNESGetKSP(snes, &ksp));
652:       PetscCall(KSPGetPC(ksp, &pc));
653:       PetscCall(PetscObjectTypeCompareAny((PetscObject)pc, &match, PCSHELL, PCH2OPUS, ""));
654:       if (!match) {
655:         PetscCall(PetscInfo(snes, "Setting default matrix-free preconditioner routines\nThat is no preconditioner is being used\n"));
656:         PetscCall(PCSetType(pc, PCNONE));
657:       }
658:     }
659:   }
660:   PetscCall(MatDestroy(&J));
661:   PetscFunctionReturn(PETSC_SUCCESS);
662: }

664: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, PetscCtx ctx)
665: {
666:   SNES snes = (SNES)ctx;
667:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

669:   PetscFunctionBegin;
670:   if (PetscLogPrintInfo) {
671:     PetscInt finelevel, coarselevel, fineclevel, coarseclevel;
672:     PetscCall(DMGetRefineLevel(dmfine, &finelevel));
673:     PetscCall(DMGetCoarsenLevel(dmfine, &fineclevel));
674:     PetscCall(DMGetRefineLevel(dmcoarse, &coarselevel));
675:     PetscCall(DMGetCoarsenLevel(dmcoarse, &coarseclevel));
676:     PetscCall(PetscInfo(dmfine, "Restricting SNES solution vector from level %" PetscInt_FMT "-%" PetscInt_FMT " to level %" PetscInt_FMT "-%" PetscInt_FMT "\n", finelevel, fineclevel, coarselevel, coarseclevel));
677:   }
678:   if (dmfine == snes->dm) Xfine = snes->vec_sol;
679:   else {
680:     PetscCall(DMGetNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
681:     Xfine = Xfine_named;
682:   }
683:   PetscCall(DMGetNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
684:   if (Inject) {
685:     PetscCall(MatRestrict(Inject, Xfine, Xcoarse));
686:   } else {
687:     PetscCall(MatRestrict(Restrict, Xfine, Xcoarse));
688:     PetscCall(VecPointwiseMult(Xcoarse, Xcoarse, Rscale));
689:   }
690:   PetscCall(DMRestoreNamedGlobalVector(dmcoarse, "SNESVecSol", &Xcoarse));
691:   if (Xfine_named) PetscCall(DMRestoreNamedGlobalVector(dmfine, "SNESVecSol", &Xfine_named));
692:   PetscFunctionReturn(PETSC_SUCCESS);
693: }

695: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, PetscCtx ctx)
696: {
697:   PetscFunctionBegin;
698:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
699:   PetscFunctionReturn(PETSC_SUCCESS);
700: }

702: /* This may be called to rediscretize the operator on levels of linear multigrid. The DM shuffle is so the user can
703:  * safely call SNESGetDM() in their residual evaluation routine. */
704: static PetscErrorCode KSPComputeOperators_SNES(KSP ksp, Mat A, Mat B, PetscCtx ctx)
705: {
706:   SNES            snes = (SNES)ctx;
707:   DMSNES          sdm;
708:   Vec             X, Xnamed = NULL;
709:   DM              dmsave;
710:   void           *ctxsave;
711:   SNESJacobianFn *jac = NULL;

713:   PetscFunctionBegin;
714:   dmsave = snes->dm;
715:   PetscCall(KSPGetDM(ksp, &snes->dm));
716:   if (dmsave == snes->dm) X = snes->vec_sol; /* We are on the finest level */
717:   else {
718:     PetscBool has;

720:     /* We are on a coarser level, this vec was initialized using a DM restrict hook */
721:     PetscCall(DMHasNamedGlobalVector(snes->dm, "SNESVecSol", &has));
722:     PetscCheck(has, PetscObjectComm((PetscObject)snes->dm), PETSC_ERR_PLIB, "Missing SNESVecSol");
723:     PetscCall(DMGetNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
724:     X = Xnamed;
725:     PetscCall(SNESGetJacobian(snes, NULL, NULL, &jac, &ctxsave));
726:     /* If the DM's don't match up, the MatFDColoring context needed for the jacobian won't match up either -- fixit. */
727:     if (jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, SNESComputeJacobianDefaultColor, NULL));
728:   }

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

737:     snes->vec_rhs = NULL;
738:     PetscCall(DMGetGlobalVector(snes->dm, &F));
739:     PetscCall(SNESComputeFunction(snes, X, F));
740:     PetscCall(DMRestoreGlobalVector(snes->dm, &F));
741:     snes->vec_rhs = saverhs;
742:     snes->nfuncs--; /* Do not log coarser level evaluations */
743:   }
744:   /* Make sure KSP DM has the Jacobian computation routine */
745:   if (!sdm->ops->computejacobian) PetscCall(DMCopyDMSNES(dmsave, snes->dm));
746:   PetscCall(SNESComputeJacobian(snes, X, A, B)); /* cannot handle previous SNESSetJacobianDomainError() calls */

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

751:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
752:   snes->dm = dmsave;
753:   PetscFunctionReturn(PETSC_SUCCESS);
754: }

756: /*@
757:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

759:   Collective

761:   Input Parameter:
762: . snes - `SNES` object to configure

764:   Level: developer

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

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

774: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
775: @*/
776: PetscErrorCode SNESSetUpMatrices(SNES snes)
777: {
778:   DM     dm;
779:   DMSNES sdm;

781:   PetscFunctionBegin;
782:   PetscCall(SNESGetDM(snes, &dm));
783:   PetscCall(DMGetDMSNES(dm, &sdm));
784:   if (!snes->jacobian && snes->mf && !snes->mf_operator && !snes->jacobian_pre) {
785:     Mat   J;
786:     void *functx;
787:     PetscCall(MatCreateSNESMF(snes, &J));
788:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
789:     PetscCall(MatSetFromOptions(J));
790:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
791:     PetscCall(SNESSetJacobian(snes, J, J, NULL, NULL));
792:     PetscCall(MatDestroy(&J));
793:   } else if (snes->mf_operator && !snes->jacobian_pre && !snes->jacobian) {
794:     Mat J, B;
795:     PetscCall(MatCreateSNESMF(snes, &J));
796:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
797:     PetscCall(MatSetFromOptions(J));
798:     PetscCall(DMCreateMatrix(snes->dm, &B));
799:     /* sdm->computejacobian was already set to reach here */
800:     PetscCall(SNESSetJacobian(snes, J, B, NULL, NULL));
801:     PetscCall(MatDestroy(&J));
802:     PetscCall(MatDestroy(&B));
803:   } else if (!snes->jacobian_pre) {
804:     PetscDS   prob;
805:     Mat       J, B;
806:     PetscBool hasPrec = PETSC_FALSE;

808:     J = snes->jacobian;
809:     PetscCall(DMGetDS(dm, &prob));
810:     if (prob) PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
811:     if (!J && hasPrec) PetscCall(DMCreateMatrix(snes->dm, &J));
812:     else PetscCall(PetscObjectReference((PetscObject)J));
813:     PetscCall(DMCreateMatrix(snes->dm, &B));
814:     PetscCall(SNESSetJacobian(snes, J ? J : B, B, NULL, NULL));
815:     PetscCall(MatDestroy(&J));
816:     PetscCall(MatDestroy(&B));
817:   }
818:   {
819:     KSP ksp;
820:     PetscCall(SNESGetKSP(snes, &ksp));
821:     PetscCall(KSPSetComputeOperators(ksp, KSPComputeOperators_SNES, snes));
822:     PetscCall(DMCoarsenHookAdd(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
823:   }
824:   PetscFunctionReturn(PETSC_SUCCESS);
825: }

827: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, PetscCtx);

829: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
830: {
831:   PetscFunctionBegin;
832:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
833:   PetscCall(PetscMonitorPauseFinal_Internal(snes->numbermonitors, snes->monitorcontext));
834:   PetscFunctionReturn(PETSC_SUCCESS);
835: }

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

840:   Collective

842:   Input Parameters:
843: + snes         - `SNES` object you wish to monitor
844: . name         - the monitor type one is seeking
845: . help         - message indicating what monitoring is done
846: . manual       - manual page for the monitor
847: . monitor      - the monitor function, this must use a `PetscViewerFormat` as its context
848: - 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

850:   Calling sequence of `monitor`:
851: + snes - the nonlinear solver context
852: . it   - the current iteration
853: . r    - the current function norm
854: - vf   - a `PetscViewerAndFormat` struct that contains the `PetscViewer` and `PetscViewerFormat` to use

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

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

863:   Level: advanced

865: .seealso: [](ch_snes), `PetscOptionsCreateViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
866:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`,
867:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
868:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
869:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
870:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
871:           `PetscOptionsFList()`, `PetscOptionsEList()`
872: @*/
873: 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))
874: {
875:   PetscViewer       viewer;
876:   PetscViewerFormat format;
877:   PetscBool         flg;

879:   PetscFunctionBegin;
880:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, name, &viewer, &format, &flg));
881:   if (flg) {
882:     PetscViewerAndFormat *vf;
883:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
884:     PetscCall(PetscViewerDestroy(&viewer));
885:     if (monitorsetup) PetscCall((*monitorsetup)(snes, vf));
886:     PetscCall(SNESMonitorSet(snes, (PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscCtx))monitor, vf, (PetscCtxDestroyFn *)PetscViewerAndFormatDestroy));
887:   }
888:   PetscFunctionReturn(PETSC_SUCCESS);
889: }

891: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
892: {
893:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

895:   PetscFunctionBegin;
896:   PetscOptionsBegin(comm, prefix, "Eisenstat and Walker type forcing options", "KSP");
897:   PetscCall(PetscOptionsInt("-ksp_ew_version", "Version 1, 2 or 3", api, kctx->version, &kctx->version, NULL));
898:   PetscCall(PetscOptionsReal("-ksp_ew_rtol0", "0 <= rtol0 < 1", api, kctx->rtol_0, &kctx->rtol_0, NULL));
899:   kctx->rtol_max = PetscMax(kctx->rtol_0, kctx->rtol_max);
900:   PetscCall(PetscOptionsReal("-ksp_ew_rtolmax", "0 <= rtolmax < 1", api, kctx->rtol_max, &kctx->rtol_max, NULL));
901:   PetscCall(PetscOptionsReal("-ksp_ew_gamma", "0 <= gamma <= 1", api, kctx->gamma, &kctx->gamma, NULL));
902:   PetscCall(PetscOptionsReal("-ksp_ew_alpha", "1 < alpha <= 2", api, kctx->alpha, &kctx->alpha, NULL));
903:   PetscCall(PetscOptionsReal("-ksp_ew_alpha2", "alpha2", NULL, kctx->alpha2, &kctx->alpha2, NULL));
904:   PetscCall(PetscOptionsReal("-ksp_ew_threshold", "0 < threshold < 1", api, kctx->threshold, &kctx->threshold, NULL));
905:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p1", "p1", NULL, kctx->v4_p1, &kctx->v4_p1, NULL));
906:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p2", "p2", NULL, kctx->v4_p2, &kctx->v4_p2, NULL));
907:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p3", "p3", NULL, kctx->v4_p3, &kctx->v4_p3, NULL));
908:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m1", "Scaling when rk-1 in [p2,p3)", NULL, kctx->v4_m1, &kctx->v4_m1, NULL));
909:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m2", "Scaling when rk-1 in [p3,+infty)", NULL, kctx->v4_m2, &kctx->v4_m2, NULL));
910:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m3", "Threshold for successive rtol (0.1 in Eq.7)", NULL, kctx->v4_m3, &kctx->v4_m3, NULL));
911:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m4", "Adaptation scaling (0.5 in Eq.7)", NULL, kctx->v4_m4, &kctx->v4_m4, NULL));
912:   PetscOptionsEnd();
913:   PetscFunctionReturn(PETSC_SUCCESS);
914: }

916: /*@
917:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

919:   Collective

921:   Input Parameter:
922: . snes - the `SNES` context

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

959:   Options Database Keys for Eisenstat-Walker method:
960: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
961: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
962: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
963: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
964: . -snes_ksp_ew_gamma gamma         - Sets gamma
965: . -snes_ksp_ew_alpha alpha         - Sets alpha
966: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
967: - -snes_ksp_ew_threshold threshold - Sets threshold

969:   Level: beginner

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

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

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

992:   PetscFunctionBegin;
994:   PetscCall(SNESRegisterAll());
995:   PetscObjectOptionsBegin((PetscObject)snes);
996:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
997:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, 256, &flg));
998:   if (flg) PetscCall(SNESSetType(snes, type));
999:   else if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, deft));

1001:   abstol    = snes->abstol;
1002:   rtol      = snes->rtol;
1003:   stol      = snes->stol;
1004:   max_its   = snes->max_its;
1005:   max_funcs = snes->max_funcs;
1006:   PetscCall(PetscOptionsReal("-snes_rtol", "Stop if decrease in function norm less than", "SNESSetTolerances", snes->rtol, &rtol, NULL));
1007:   PetscCall(PetscOptionsReal("-snes_atol", "Stop if function norm less than", "SNESSetTolerances", snes->abstol, &abstol, NULL));
1008:   PetscCall(PetscOptionsReal("-snes_stol", "Stop if step length less than", "SNESSetTolerances", snes->stol, &stol, NULL));
1009:   PetscCall(PetscOptionsInt("-snes_max_it", "Maximum iterations", "SNESSetTolerances", snes->max_its, &max_its, NULL));
1010:   PetscCall(PetscOptionsInt("-snes_max_funcs", "Maximum function evaluations", "SNESSetTolerances", snes->max_funcs, &max_funcs, NULL));
1011:   PetscCall(SNESSetTolerances(snes, abstol, rtol, stol, max_its, max_funcs));

1013:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, &flg));
1014:   if (flg) PetscCall(SNESSetDivergenceTolerance(snes, snes->divtol));

1016:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
1017:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1019:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1020:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1022:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1023:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1024:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1026:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1027:   if (flg) {
1028:     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");
1029:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1030:   }
1031:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1032:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1033:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1034:   if (flg) {
1035:     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");
1036:     PetscCall(SNESSetLagJacobian(snes, lag));
1037:   }
1038:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1039:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1041:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1042:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1044:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1045:   if (flg) {
1046:     switch (indx) {
1047:     case 0:
1048:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1049:       break;
1050:     case 1:
1051:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1052:       break;
1053:     case 2:
1054:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1055:       break;
1056:     }
1057:   }

1059:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1060:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1062:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1063:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1065:   kctx = (SNESKSPEW *)snes->kspconvctx;

1067:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1069:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1070:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1071:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1073:   flg = PETSC_FALSE;
1074:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1075:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1077:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1078:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1079:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1081:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1082:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1083:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1084:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1085:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1086:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1087:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1088:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1090:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1091:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1093:   flg = PETSC_FALSE;
1094:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1095:   if (flg) {
1096:     PetscViewer ctx;

1098:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1099:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1100:   }

1102:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1103:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1104:   flg = PETSC_FALSE;
1105:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1106:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1108:   flg = PETSC_FALSE;
1109:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1110:   if (flg) {
1111:     void *functx;
1112:     DM    dm;
1113:     PetscCall(SNESGetDM(snes, &dm));
1114:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1115:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1116:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1117:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1118:   }

1120:   flg = PETSC_FALSE;
1121:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1122:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1124:   flg = PETSC_FALSE;
1125:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1126:   if (flg) {
1127:     DM dm;
1128:     PetscCall(SNESGetDM(snes, &dm));
1129:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1130:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1131:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1132:   }

1134:   flg = PETSC_FALSE;
1135:   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));
1136:   if (flg && snes->mf_operator) {
1137:     snes->mf_operator = PETSC_TRUE;
1138:     snes->mf          = PETSC_TRUE;
1139:   }
1140:   flg = PETSC_FALSE;
1141:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1142:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1143:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1145:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1146:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1148:   flg = PETSC_FALSE;
1149:   PetscCall(SNESGetNPCSide(snes, &pcside));
1150:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1151:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1153: #if defined(PETSC_HAVE_SAWS)
1154:   /*
1155:     Publish convergence information using SAWs
1156:   */
1157:   flg = PETSC_FALSE;
1158:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1159:   if (flg) {
1160:     PetscCtx ctx;
1161:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1162:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1163:   }
1164: #endif
1165: #if defined(PETSC_HAVE_SAWS)
1166:   {
1167:     PetscBool set;
1168:     flg = PETSC_FALSE;
1169:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1170:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1171:   }
1172: #endif

1174:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1176:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1178:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1179:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1180:   PetscOptionsEnd();

1182:   if (snes->linesearch) {
1183:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1184:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1185:   }

1187:   if (snes->usesksp) {
1188:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1189:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1190:     PetscCall(KSPSetFromOptions(snes->ksp));
1191:   }

1193:   /* if user has set the SNES NPC type via options database, create it. */
1194:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1195:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1196:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1197:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1198:   snes->setfromoptionscalled++;
1199:   PetscFunctionReturn(PETSC_SUCCESS);
1200: }

1202: /*@
1203:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1205:   Collective

1207:   Input Parameter:
1208: . snes - the `SNES` context

1210:   Level: advanced

1212: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1213: @*/
1214: PetscErrorCode SNESResetFromOptions(SNES snes)
1215: {
1216:   PetscFunctionBegin;
1217:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1218:   PetscFunctionReturn(PETSC_SUCCESS);
1219: }

1221: /*@C
1222:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1223:   the nonlinear solvers.

1225:   Logically Collective; No Fortran Support

1227:   Input Parameters:
1228: + snes    - the `SNES` context
1229: . compute - function to compute the context
1230: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1232:   Calling sequence of `compute`:
1233: + snes - the `SNES` context
1234: - ctx  - context to be computed

1236:   Level: intermediate

1238:   Note:
1239:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1241:   Use `SNESSetApplicationContext()` to see the context immediately

1243: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1244: @*/
1245: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1246: {
1247:   PetscFunctionBegin;
1249:   snes->ops->ctxcompute = compute;
1250:   snes->ops->ctxdestroy = destroy;
1251:   PetscFunctionReturn(PETSC_SUCCESS);
1252: }

1254: /*@
1255:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1257:   Logically Collective

1259:   Input Parameters:
1260: + snes - the `SNES` context
1261: - ctx  - the user context

1263:   Level: intermediate

1265:   Notes:
1266:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1267:   with `SNESGetApplicationContext()`

1269:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1271:   Fortran Note:
1272:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1273:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1274:   an example.

1276: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1277: @*/
1278: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1279: {
1280:   KSP ksp;

1282:   PetscFunctionBegin;
1284:   PetscCall(SNESGetKSP(snes, &ksp));
1285:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1286:   snes->ctx = ctx;
1287:   PetscFunctionReturn(PETSC_SUCCESS);
1288: }

1290: /*@
1291:   SNESGetApplicationContext - Gets the user-defined context for the
1292:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1294:   Not Collective

1296:   Input Parameter:
1297: . snes - `SNES` context

1299:   Output Parameter:
1300: . ctx - the application context

1302:   Level: intermediate

1304:   Fortran Notes:
1305:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1306: .vb
1307:   type(tUsertype), pointer :: ctx
1308: .ve

1310: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1311: @*/
1312: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1313: {
1314:   PetscFunctionBegin;
1316:   *(void **)ctx = snes->ctx;
1317:   PetscFunctionReturn(PETSC_SUCCESS);
1318: }

1320: /*@
1321:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1323:   Logically Collective

1325:   Input Parameters:
1326: + snes        - `SNES` context
1327: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1328: - 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
1329:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1331:   Options Database Keys:
1332: + -snes_mf_operator - use matrix-free only for the mat operator
1333: . -snes_mf          - use matrix-free for both the mat and pmat operator
1334: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1335: - -snes_fd          - compute the Jacobian via finite differences (slow)

1337:   Level: intermediate

1339:   Note:
1340:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1341:   and computing explicitly with
1342:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1344: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1345: @*/
1346: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1347: {
1348:   PetscFunctionBegin;
1352:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1353:   snes->mf_operator = mf_operator;
1354:   PetscFunctionReturn(PETSC_SUCCESS);
1355: }

1357: /*@
1358:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1360:   Not Collective, but the resulting flags will be the same on all MPI processes

1362:   Input Parameter:
1363: . snes - `SNES` context

1365:   Output Parameters:
1366: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1367: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1369:   Level: intermediate

1371: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1372: @*/
1373: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1374: {
1375:   PetscFunctionBegin;
1377:   if (mf) *mf = snes->mf;
1378:   if (mf_operator) *mf_operator = snes->mf_operator;
1379:   PetscFunctionReturn(PETSC_SUCCESS);
1380: }

1382: /*@
1383:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1385:   Not Collective

1387:   Input Parameter:
1388: . snes - `SNES` context

1390:   Output Parameter:
1391: . iter - iteration number

1393:   Level: intermediate

1395:   Notes:
1396:   For example, during the computation of iteration 2 this would return 1.

1398:   This is useful for using lagged Jacobians (where one does not recompute the
1399:   Jacobian at each `SNES` iteration). For example, the code
1400: .vb
1401:       ierr = SNESGetIterationNumber(snes,&it);
1402:       if (!(it % 2)) {
1403:         [compute Jacobian here]
1404:       }
1405: .ve
1406:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1407:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1409:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1411: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1412: @*/
1413: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1414: {
1415:   PetscFunctionBegin;
1417:   PetscAssertPointer(iter, 2);
1418:   *iter = snes->iter;
1419:   PetscFunctionReturn(PETSC_SUCCESS);
1420: }

1422: /*@
1423:   SNESSetIterationNumber - Sets the current iteration number.

1425:   Not Collective

1427:   Input Parameters:
1428: + snes - `SNES` context
1429: - iter - iteration number

1431:   Level: developer

1433:   Note:
1434:   This should only be called inside a `SNES` nonlinear solver.

1436: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1437: @*/
1438: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1439: {
1440:   PetscFunctionBegin;
1442:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1443:   snes->iter = iter;
1444:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1445:   PetscFunctionReturn(PETSC_SUCCESS);
1446: }

1448: /*@
1449:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1450:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1452:   Not Collective

1454:   Input Parameter:
1455: . snes - `SNES` context

1457:   Output Parameter:
1458: . nfails - number of unsuccessful steps attempted

1460:   Level: intermediate

1462:   Notes:
1463:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1464:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1466:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1467:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1469:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1471:   This counter is reset to zero for each successive call to `SNESSolve()`.

1473: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1474:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1475: @*/
1476: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1477: {
1478:   PetscFunctionBegin;
1480:   PetscAssertPointer(nfails, 2);
1481:   *nfails = snes->numFailures;
1482:   PetscFunctionReturn(PETSC_SUCCESS);
1483: }

1485: /*@
1486:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1487:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1489:   Not Collective

1491:   Input Parameters:
1492: + snes     - `SNES` context
1493: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1495:   Options Database Key:
1496: . -snes_max_fail n - maximum number of unsuccessful steps allowed

1498:   Level: intermediate

1500:   Note:
1501:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1502:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1504:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1505:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1507:   Developer Note:
1508:   The options database key is wrong for this function name

1510: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1511:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1512: @*/
1513: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1514: {
1515:   PetscFunctionBegin;

1518:   if (maxFails == PETSC_UNLIMITED) {
1519:     snes->maxFailures = PETSC_INT_MAX;
1520:   } else {
1521:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1522:     snes->maxFailures = maxFails;
1523:   }
1524:   PetscFunctionReturn(PETSC_SUCCESS);
1525: }

1527: /*@
1528:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1529:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1531:   Not Collective

1533:   Input Parameter:
1534: . snes - `SNES` context

1536:   Output Parameter:
1537: . maxFails - maximum of unsuccessful steps

1539:   Level: intermediate

1541: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1542:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1543: @*/
1544: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1545: {
1546:   PetscFunctionBegin;
1548:   PetscAssertPointer(maxFails, 2);
1549:   *maxFails = snes->maxFailures;
1550:   PetscFunctionReturn(PETSC_SUCCESS);
1551: }

1553: /*@
1554:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1555:   done by the `SNES` object in the current or most recent `SNESSolve()`

1557:   Not Collective

1559:   Input Parameter:
1560: . snes - `SNES` context

1562:   Output Parameter:
1563: . nfuncs - number of evaluations

1565:   Level: intermediate

1567:   Note:
1568:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1570: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1571: @*/
1572: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1573: {
1574:   PetscFunctionBegin;
1576:   PetscAssertPointer(nfuncs, 2);
1577:   *nfuncs = snes->nfuncs;
1578:   PetscFunctionReturn(PETSC_SUCCESS);
1579: }

1581: /*@
1582:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1583:   linear solvers in the current or most recent `SNESSolve()`

1585:   Not Collective

1587:   Input Parameter:
1588: . snes - `SNES` context

1590:   Output Parameter:
1591: . nfails - number of failed solves

1593:   Options Database Key:
1594: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1596:   Level: intermediate

1598:   Note:
1599:   This counter is reset to zero for each successive call to `SNESSolve()`.

1601: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1602: @*/
1603: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1604: {
1605:   PetscFunctionBegin;
1607:   PetscAssertPointer(nfails, 2);
1608:   *nfails = snes->numLinearSolveFailures;
1609:   PetscFunctionReturn(PETSC_SUCCESS);
1610: }

1612: /*@
1613:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1614:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1616:   Logically Collective

1618:   Input Parameters:
1619: + snes     - `SNES` context
1620: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1622:   Options Database Key:
1623: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1625:   Level: intermediate

1627:   Note:
1628:   By default this is 0; that is `SNES` returns on the first failed linear solve

1630:   Developer Note:
1631:   The options database key is wrong for this function name

1633: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1634: @*/
1635: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1636: {
1637:   PetscFunctionBegin;

1641:   if (maxFails == PETSC_UNLIMITED) {
1642:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1643:   } else {
1644:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1645:     snes->maxLinearSolveFailures = maxFails;
1646:   }
1647:   PetscFunctionReturn(PETSC_SUCCESS);
1648: }

1650: /*@
1651:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1652:   are allowed before `SNES` returns as unsuccessful

1654:   Not Collective

1656:   Input Parameter:
1657: . snes - `SNES` context

1659:   Output Parameter:
1660: . maxFails - maximum of unsuccessful solves allowed

1662:   Level: intermediate

1664:   Note:
1665:   By default this is 1; that is `SNES` returns on the first failed linear solve

1667: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1668: @*/
1669: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1670: {
1671:   PetscFunctionBegin;
1673:   PetscAssertPointer(maxFails, 2);
1674:   *maxFails = snes->maxLinearSolveFailures;
1675:   PetscFunctionReturn(PETSC_SUCCESS);
1676: }

1678: /*@
1679:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1680:   used by the nonlinear solver in the most recent `SNESSolve()`

1682:   Not Collective

1684:   Input Parameter:
1685: . snes - `SNES` context

1687:   Output Parameter:
1688: . lits - number of linear iterations

1690:   Level: intermediate

1692:   Notes:
1693:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1695:   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
1696:   then call `KSPGetIterationNumber()` after the failed solve.

1698: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1699: @*/
1700: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1701: {
1702:   PetscFunctionBegin;
1704:   PetscAssertPointer(lits, 2);
1705:   *lits = snes->linear_its;
1706:   PetscFunctionReturn(PETSC_SUCCESS);
1707: }

1709: /*@
1710:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1711:   are reset every time `SNESSolve()` is called.

1713:   Logically Collective

1715:   Input Parameters:
1716: + snes  - `SNES` context
1717: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1719:   Level: developer

1721: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1722: @*/
1723: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1724: {
1725:   PetscFunctionBegin;
1728:   snes->counters_reset = reset;
1729:   PetscFunctionReturn(PETSC_SUCCESS);
1730: }

1732: /*@
1733:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1735:   Logically Collective

1737:   Input Parameters:
1738: . snes - `SNES` context

1740:   Level: developer

1742:   Note:
1743:   It honors the flag set with `SNESSetCountersReset()`

1745: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1746: @*/
1747: PetscErrorCode SNESResetCounters(SNES snes)
1748: {
1749:   PetscFunctionBegin;
1751:   if (snes->counters_reset) {
1752:     snes->nfuncs      = 0;
1753:     snes->linear_its  = 0;
1754:     snes->numFailures = 0;
1755:   }
1756:   PetscFunctionReturn(PETSC_SUCCESS);
1757: }

1759: /*@
1760:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1762:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1764:   Input Parameters:
1765: + snes - the `SNES` context
1766: - ksp  - the `KSP` context

1768:   Level: developer

1770:   Notes:
1771:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1772:   so this routine is rarely needed.

1774:   The `KSP` object that is already in the `SNES` object has its reference count
1775:   decreased by one when this is called.

1777: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1778: @*/
1779: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1780: {
1781:   PetscFunctionBegin;
1784:   PetscCheckSameComm(snes, 1, ksp, 2);
1785:   PetscCall(PetscObjectReference((PetscObject)ksp));
1786:   PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1787:   snes->ksp = ksp;
1788:   PetscFunctionReturn(PETSC_SUCCESS);
1789: }

1791: /*@
1792:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1793:   currently contain default values

1795:   Collective

1797:   Input Parameter:
1798: . snes - the `SNES` object

1800:   Level: developer

1802:   Developer Note:
1803:   This is called by all the `SNESCreate_XXX()` routines.

1805: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1806:           `PetscObjectParameterSetDefault()`
1807: @*/
1808: PetscErrorCode SNESParametersInitialize(SNES snes)
1809: {
1810:   PetscObjectParameterSetDefault(snes, max_its, 50);
1811:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1812:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1813:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1814:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1815:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1816:   return PETSC_SUCCESS;
1817: }

1819: /*@
1820:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1822:   Collective

1824:   Input Parameter:
1825: . comm - MPI communicator

1827:   Output Parameter:
1828: . outsnes - the new `SNES` context

1830:   Options Database Keys:
1831: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1832: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1833: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1834: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1836:   Level: beginner

1838:   Developer Notes:
1839:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1840:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1841:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1842:   in `SNESView()`.

1844:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1845:   by help messages about meaningless `SNES` options.

1847:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1849: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1850: @*/
1851: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1852: {
1853:   SNES       snes;
1854:   SNESKSPEW *kctx;

1856:   PetscFunctionBegin;
1857:   PetscAssertPointer(outsnes, 2);
1858:   PetscCall(SNESInitializePackage());

1860:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1861:   snes->ops->converged = SNESConvergedDefault;
1862:   snes->usesksp        = PETSC_TRUE;
1863:   snes->norm           = 0.0;
1864:   snes->xnorm          = 0.0;
1865:   snes->ynorm          = 0.0;
1866:   snes->normschedule   = SNES_NORM_ALWAYS;
1867:   snes->functype       = SNES_FUNCTION_DEFAULT;
1868:   snes->ttol           = 0.0;

1870:   snes->rnorm0               = 0;
1871:   snes->nfuncs               = 0;
1872:   snes->numFailures          = 0;
1873:   snes->maxFailures          = 1;
1874:   snes->linear_its           = 0;
1875:   snes->lagjacobian          = 1;
1876:   snes->jac_iter             = 0;
1877:   snes->lagjac_persist       = PETSC_FALSE;
1878:   snes->lagpreconditioner    = 1;
1879:   snes->pre_iter             = 0;
1880:   snes->lagpre_persist       = PETSC_FALSE;
1881:   snes->numbermonitors       = 0;
1882:   snes->numberreasonviews    = 0;
1883:   snes->data                 = NULL;
1884:   snes->setupcalled          = PETSC_FALSE;
1885:   snes->ksp_ewconv           = PETSC_FALSE;
1886:   snes->nwork                = 0;
1887:   snes->work                 = NULL;
1888:   snes->nvwork               = 0;
1889:   snes->vwork                = NULL;
1890:   snes->conv_hist_len        = 0;
1891:   snes->conv_hist_max        = 0;
1892:   snes->conv_hist            = NULL;
1893:   snes->conv_hist_its        = NULL;
1894:   snes->conv_hist_reset      = PETSC_TRUE;
1895:   snes->counters_reset       = PETSC_TRUE;
1896:   snes->vec_func_init_set    = PETSC_FALSE;
1897:   snes->reason               = SNES_CONVERGED_ITERATING;
1898:   snes->npcside              = PC_RIGHT;
1899:   snes->setfromoptionscalled = 0;

1901:   snes->mf          = PETSC_FALSE;
1902:   snes->mf_operator = PETSC_FALSE;
1903:   snes->mf_version  = 1;

1905:   snes->numLinearSolveFailures = 0;
1906:   snes->maxLinearSolveFailures = 1;

1908:   snes->vizerotolerance     = 1.e-8;
1909:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1911:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1912:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1914:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1915:   PetscCall(PetscNew(&kctx));

1917:   snes->kspconvctx  = kctx;
1918:   kctx->version     = 2;
1919:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1920:                              this was too large for some test cases */
1921:   kctx->rtol_last   = 0.0;
1922:   kctx->rtol_max    = 0.9;
1923:   kctx->gamma       = 1.0;
1924:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1925:   kctx->alpha2      = kctx->alpha;
1926:   kctx->threshold   = 0.1;
1927:   kctx->lresid_last = 0.0;
1928:   kctx->norm_last   = 0.0;

1930:   kctx->rk_last     = 0.0;
1931:   kctx->rk_last_2   = 0.0;
1932:   kctx->rtol_last_2 = 0.0;
1933:   kctx->v4_p1       = 0.1;
1934:   kctx->v4_p2       = 0.4;
1935:   kctx->v4_p3       = 0.7;
1936:   kctx->v4_m1       = 0.8;
1937:   kctx->v4_m2       = 0.5;
1938:   kctx->v4_m3       = 0.1;
1939:   kctx->v4_m4       = 0.5;

1941:   PetscCall(SNESParametersInitialize(snes));
1942:   *outsnes = snes;
1943:   PetscFunctionReturn(PETSC_SUCCESS);
1944: }

1946: /*@C
1947:   SNESSetFunction - Sets the function evaluation routine and function
1948:   vector for use by the `SNES` routines in solving systems of nonlinear
1949:   equations.

1951:   Logically Collective

1953:   Input Parameters:
1954: + snes - the `SNES` context
1955: . r    - vector to store function values, may be `NULL`
1956: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1957: - ctx  - [optional] user-defined context for private data for the
1958:          function evaluation routine (may be `NULL`)

1960:   Level: beginner

1962: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1963: @*/
1964: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1965: {
1966:   DM dm;

1968:   PetscFunctionBegin;
1970:   if (r) {
1972:     PetscCheckSameComm(snes, 1, r, 2);
1973:     PetscCall(PetscObjectReference((PetscObject)r));
1974:     PetscCall(VecDestroy(&snes->vec_func));
1975:     snes->vec_func = r;
1976:   }
1977:   PetscCall(SNESGetDM(snes, &dm));
1978:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1979:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1980:   PetscFunctionReturn(PETSC_SUCCESS);
1981: }

1983: /*@C
1984:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1986:   Logically Collective

1988:   Input Parameters:
1989: + snes - the `SNES` context
1990: - f    - vector to store function value

1992:   Level: developer

1994:   Notes:
1995:   This should not be modified during the solution procedure.

1997:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1999: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
2000: @*/
2001: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
2002: {
2003:   Vec vec_func;

2005:   PetscFunctionBegin;
2008:   PetscCheckSameComm(snes, 1, f, 2);
2009:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
2010:     snes->vec_func_init_set = PETSC_FALSE;
2011:     PetscFunctionReturn(PETSC_SUCCESS);
2012:   }
2013:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
2014:   PetscCall(VecCopy(f, vec_func));

2016:   snes->vec_func_init_set = PETSC_TRUE;
2017:   PetscFunctionReturn(PETSC_SUCCESS);
2018: }

2020: /*@
2021:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2022:   of the `SNES` method, when norms are computed in the solving process

2024:   Logically Collective

2026:   Input Parameters:
2027: + snes         - the `SNES` context
2028: - normschedule - the frequency of norm computation

2030:   Options Database Key:
2031: . -snes_norm_schedule (none|always|initialonly|finalonly|initialfinalonly) - set the schedule

2033:   Level: advanced

2035:   Notes:
2036:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2037:   of the nonlinear function and the taking of its norm at every iteration to
2038:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2039:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2040:   may either be monitored for convergence or not.  As these are often used as nonlinear
2041:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2042:   their solution.

2044: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2045: @*/
2046: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2047: {
2048:   PetscFunctionBegin;
2050:   snes->normschedule = normschedule;
2051:   PetscFunctionReturn(PETSC_SUCCESS);
2052: }

2054: /*@
2055:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2056:   of the `SNES` method.

2058:   Logically Collective

2060:   Input Parameters:
2061: + snes         - the `SNES` context
2062: - normschedule - the type of the norm used

2064:   Level: advanced

2066: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2067: @*/
2068: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2069: {
2070:   PetscFunctionBegin;
2072:   *normschedule = snes->normschedule;
2073:   PetscFunctionReturn(PETSC_SUCCESS);
2074: }

2076: /*@
2077:   SNESSetFunctionNorm - Sets the last computed residual norm.

2079:   Logically Collective

2081:   Input Parameters:
2082: + snes - the `SNES` context
2083: - norm - the value of the norm

2085:   Level: developer

2087: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2088: @*/
2089: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2090: {
2091:   PetscFunctionBegin;
2093:   snes->norm = norm;
2094:   PetscFunctionReturn(PETSC_SUCCESS);
2095: }

2097: /*@
2098:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2100:   Not Collective

2102:   Input Parameter:
2103: . snes - the `SNES` context

2105:   Output Parameter:
2106: . norm - the last computed residual norm

2108:   Level: developer

2110: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2111: @*/
2112: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2113: {
2114:   PetscFunctionBegin;
2116:   PetscAssertPointer(norm, 2);
2117:   *norm = snes->norm;
2118:   PetscFunctionReturn(PETSC_SUCCESS);
2119: }

2121: /*@
2122:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2124:   Not Collective

2126:   Input Parameter:
2127: . snes - the `SNES` context

2129:   Output Parameter:
2130: . ynorm - the last computed update norm

2132:   Level: developer

2134:   Note:
2135:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2137: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2138: @*/
2139: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2140: {
2141:   PetscFunctionBegin;
2143:   PetscAssertPointer(ynorm, 2);
2144:   *ynorm = snes->ynorm;
2145:   PetscFunctionReturn(PETSC_SUCCESS);
2146: }

2148: /*@
2149:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2151:   Not Collective

2153:   Input Parameter:
2154: . snes - the `SNES` context

2156:   Output Parameter:
2157: . xnorm - the last computed solution norm

2159:   Level: developer

2161: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2162: @*/
2163: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2164: {
2165:   PetscFunctionBegin;
2167:   PetscAssertPointer(xnorm, 2);
2168:   *xnorm = snes->xnorm;
2169:   PetscFunctionReturn(PETSC_SUCCESS);
2170: }

2172: /*@
2173:   SNESSetFunctionType - Sets the `SNESFunctionType`
2174:   of the `SNES` method.

2176:   Logically Collective

2178:   Input Parameters:
2179: + snes - the `SNES` context
2180: - type - the function type

2182:   Level: developer

2184:   Values of the function type\:
2185: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2186: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2187: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2189:   Note:
2190:   Different `SNESType`s use this value in different ways

2192: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2193: @*/
2194: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2195: {
2196:   PetscFunctionBegin;
2198:   snes->functype = type;
2199:   PetscFunctionReturn(PETSC_SUCCESS);
2200: }

2202: /*@
2203:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2204:   of the SNES method.

2206:   Logically Collective

2208:   Input Parameters:
2209: + snes - the `SNES` context
2210: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2212:   Level: advanced

2214: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2215: @*/
2216: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2217: {
2218:   PetscFunctionBegin;
2220:   *type = snes->functype;
2221:   PetscFunctionReturn(PETSC_SUCCESS);
2222: }

2224: /*@C
2225:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2226:   use with composed nonlinear solvers.

2228:   Input Parameters:
2229: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2230: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2231: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2233:   Level: intermediate

2235:   Note:
2236:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2237:   a problem appropriate update to the solution, particularly `SNESFAS`.

2239: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2240: @*/
2241: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2242: {
2243:   DM dm;

2245:   PetscFunctionBegin;
2247:   PetscCall(SNESGetDM(snes, &dm));
2248:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2249:   PetscFunctionReturn(PETSC_SUCCESS);
2250: }

2252: /*
2253:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2254:    changed during the KSPSolve()
2255: */
2256: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2257: {
2258:   DM     dm;
2259:   DMSNES sdm;

2261:   PetscFunctionBegin;
2262:   PetscCall(SNESGetDM(snes, &dm));
2263:   PetscCall(DMGetDMSNES(dm, &sdm));
2264:   /*  A(x)*x - b(x) */
2265:   if (sdm->ops->computepfunction) {
2266:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2267:     PetscCall(VecScale(f, -1.0));
2268:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2269:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2270:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2271:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2272:   } else {
2273:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2274:     PetscCall(MatMult(snes->picard, x, f));
2275:   }
2276:   PetscFunctionReturn(PETSC_SUCCESS);
2277: }

2279: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2280: {
2281:   DM     dm;
2282:   DMSNES sdm;

2284:   PetscFunctionBegin;
2285:   PetscCall(SNESGetDM(snes, &dm));
2286:   PetscCall(DMGetDMSNES(dm, &sdm));
2287:   /*  A(x)*x - b(x) */
2288:   if (sdm->ops->computepfunction) {
2289:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2290:     PetscCall(VecScale(f, -1.0));
2291:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2292:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2293:   } else {
2294:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2295:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2296:   }
2297:   PetscFunctionReturn(PETSC_SUCCESS);
2298: }

2300: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2301: {
2302:   PetscFunctionBegin;
2303:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2304:   /* must assembly if matrix-free to get the last SNES solution */
2305:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2306:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2307:   PetscFunctionReturn(PETSC_SUCCESS);
2308: }

2310: /*@C
2311:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2313:   Logically Collective

2315:   Input Parameters:
2316: + snes - the `SNES` context
2317: . r    - vector to store function values, may be `NULL`
2318: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2319: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2320: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2321: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2322: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2324:   Level: intermediate

2326:   Notes:
2327:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2328:   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.

2330:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2332:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2333:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2335:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2337:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2338:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2340:   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
2341:   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
2342:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2344:   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
2345:   $A(x^{n})$ is used to build the preconditioner

2347:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2349:   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
2350:   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
2351:   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`.
2352:   See the comment in src/snes/tutorials/ex15.c.

2354: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2355:           `SNESFunctionFn`, `SNESJacobianFn`
2356: @*/
2357: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2358: {
2359:   DM dm;

2361:   PetscFunctionBegin;
2363:   PetscCall(SNESGetDM(snes, &dm));
2364:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2365:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2366:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2367:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2368:   PetscFunctionReturn(PETSC_SUCCESS);
2369: }

2371: /*@C
2372:   SNESGetPicard - Returns the context for the Picard iteration

2374:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2376:   Input Parameter:
2377: . snes - the `SNES` context

2379:   Output Parameters:
2380: + r    - the function (or `NULL`)
2381: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2382: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2383: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2384: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2385: - ctx  - the function context (or `NULL`)

2387:   Level: advanced

2389: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2390: @*/
2391: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2392: {
2393:   DM dm;

2395:   PetscFunctionBegin;
2397:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2398:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2399:   PetscCall(SNESGetDM(snes, &dm));
2400:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2401:   PetscFunctionReturn(PETSC_SUCCESS);
2402: }

2404: /*@C
2405:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2407:   Logically Collective

2409:   Input Parameters:
2410: + snes - the `SNES` context
2411: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2412: - ctx  - [optional] user-defined context for private data for the
2413:          function evaluation routine (may be `NULL`)

2415:   Level: intermediate

2417: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2418: @*/
2419: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2420: {
2421:   PetscFunctionBegin;
2423:   if (func) snes->ops->computeinitialguess = func;
2424:   if (ctx) snes->initialguessP = ctx;
2425:   PetscFunctionReturn(PETSC_SUCCESS);
2426: }

2428: /*@C
2429:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2430:   it assumes a zero right-hand side.

2432:   Logically Collective

2434:   Input Parameter:
2435: . snes - the `SNES` context

2437:   Output Parameter:
2438: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2440:   Level: intermediate

2442: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2443: @*/
2444: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2445: {
2446:   PetscFunctionBegin;
2448:   PetscAssertPointer(rhs, 2);
2449:   *rhs = snes->vec_rhs;
2450:   PetscFunctionReturn(PETSC_SUCCESS);
2451: }

2453: /*@
2454:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2456:   Collective

2458:   Input Parameters:
2459: + snes - the `SNES` context
2460: - x    - input vector

2462:   Output Parameter:
2463: . f - function vector, as set by `SNESSetFunction()`

2465:   Level: developer

2467:   Notes:
2468:   `SNESComputeFunction()` is typically used within nonlinear solvers
2469:   implementations, so users would not generally call this routine themselves.

2471:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2473:   This function usually appears in the pattern.
2474: .vb
2475:   SNESComputeFunction(snes, x, f);
2476:   VecNorm(f, &fnorm);
2477:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2478: .ve
2479:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2481: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2482: @*/
2483: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2484: {
2485:   DM     dm;
2486:   DMSNES sdm;

2488:   PetscFunctionBegin;
2492:   PetscCheckSameComm(snes, 1, x, 2);
2493:   PetscCheckSameComm(snes, 1, f, 3);
2494:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2496:   PetscCall(SNESGetDM(snes, &dm));
2497:   PetscCall(DMGetDMSNES(dm, &sdm));
2498:   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().");
2499:   if (sdm->ops->computefunction) {
2500:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2501:     PetscCall(VecLockReadPush(x));
2502:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2503:     snes->functiondomainerror = PETSC_FALSE;
2504:     {
2505:       void           *ctx;
2506:       SNESFunctionFn *computefunction;
2507:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2508:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2509:     }
2510:     PetscCall(VecLockReadPop(x));
2511:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2512:   } else /* if (snes->vec_rhs) */ {
2513:     PetscCall(MatMult(snes->jacobian, x, f));
2514:   }
2515:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2516:   snes->nfuncs++;
2517:   /*
2518:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2519:      propagate the value to all processes
2520:   */
2521:   PetscCall(VecFlag(f, snes->functiondomainerror));
2522:   PetscFunctionReturn(PETSC_SUCCESS);
2523: }

2525: /*@
2526:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2528:   Collective

2530:   Input Parameters:
2531: + snes - the `SNES` context
2532: - x    - input vector

2534:   Output Parameter:
2535: . y - output vector

2537:   Level: developer

2539:   Notes:
2540:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2541:   so users would not generally call this routine themselves.

2543:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2544:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2545:   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.

2547: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2548: @*/
2549: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2550: {
2551:   DM     dm;
2552:   DMSNES sdm;

2554:   PetscFunctionBegin;
2558:   PetscCheckSameComm(snes, 1, x, 2);
2559:   PetscCheckSameComm(snes, 1, y, 3);
2560:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2562:   PetscCall(SNESGetDM(snes, &dm));
2563:   PetscCall(DMGetDMSNES(dm, &sdm));
2564:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2565:   PetscCall(VecLockReadPush(x));
2566:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2567:   snes->functiondomainerror = PETSC_FALSE;
2568:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2569:   PetscCall(VecLockReadPop(x));
2570:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2571:   snes->nfuncs++;
2572:   /*
2573:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2574:      propagate the value to all processes
2575:   */
2576:   PetscCall(VecFlag(y, snes->functiondomainerror));
2577:   PetscFunctionReturn(PETSC_SUCCESS);
2578: }

2580: /*@
2581:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2583:   Collective

2585:   Input Parameters:
2586: + snes - the `SNES` context
2587: . x    - input vector
2588: - b    - rhs vector

2590:   Output Parameter:
2591: . x - new solution vector

2593:   Level: developer

2595:   Note:
2596:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2597:   implementations, so most users would not generally call this routine
2598:   themselves.

2600: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2601: @*/
2602: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2603: {
2604:   DM     dm;
2605:   DMSNES sdm;

2607:   PetscFunctionBegin;
2611:   PetscCheckSameComm(snes, 1, x, 3);
2612:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2613:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2614:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2615:   PetscCall(SNESGetDM(snes, &dm));
2616:   PetscCall(DMGetDMSNES(dm, &sdm));
2617:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2618:   if (b) PetscCall(VecLockReadPush(b));
2619:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2620:   if (b) PetscCall(VecLockReadPop(b));
2621:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2622:   PetscFunctionReturn(PETSC_SUCCESS);
2623: }

2625: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2626: {
2627:   Vec          X;
2628:   PetscScalar *g;
2629:   PetscReal    f, f2;
2630:   PetscInt     low, high, N, i;
2631:   PetscBool    flg;
2632:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2634:   PetscFunctionBegin;
2635:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2636:   PetscCall(VecDuplicate(Xin, &X));
2637:   PetscCall(VecCopy(Xin, X));
2638:   PetscCall(VecGetSize(X, &N));
2639:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2640:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2641:   PetscCall(VecGetArray(G, &g));
2642:   for (i = 0; i < N; i++) {
2643:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2644:     PetscCall(VecAssemblyBegin(X));
2645:     PetscCall(VecAssemblyEnd(X));
2646:     PetscCall(SNESComputeObjective(snes, X, &f));
2647:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2648:     PetscCall(VecAssemblyBegin(X));
2649:     PetscCall(VecAssemblyEnd(X));
2650:     PetscCall(SNESComputeObjective(snes, X, &f2));
2651:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2652:     PetscCall(VecAssemblyBegin(X));
2653:     PetscCall(VecAssemblyEnd(X));
2654:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2655:   }
2656:   PetscCall(VecRestoreArray(G, &g));
2657:   PetscCall(VecDestroy(&X));
2658:   PetscFunctionReturn(PETSC_SUCCESS);
2659: }

2661: /*@
2662:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2664:   Collective

2666:   Input Parameter:
2667: . snes - the `SNES` context

2669:   Options Database Keys:
2670: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2671: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2673:   Level: developer

2675: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2676: @*/
2677: PetscErrorCode SNESTestFunction(SNES snes)
2678: {
2679:   Vec               x, g1, g2, g3;
2680:   PetscBool         complete_print = PETSC_FALSE;
2681:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2682:   PetscScalar       dot;
2683:   MPI_Comm          comm;
2684:   PetscViewer       viewer, mviewer;
2685:   PetscViewerFormat format;
2686:   PetscInt          tabs;
2687:   static PetscBool  directionsprinted = PETSC_FALSE;
2688:   SNESObjectiveFn  *objective;

2690:   PetscFunctionBegin;
2691:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2692:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2694:   PetscObjectOptionsBegin((PetscObject)snes);
2695:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2696:   PetscOptionsEnd();

2698:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2699:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2700:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2701:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2702:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2703:   if (!complete_print && !directionsprinted) {
2704:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2705:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2706:   }
2707:   if (!directionsprinted) {
2708:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2709:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2710:     directionsprinted = PETSC_TRUE;
2711:   }
2712:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2714:   PetscCall(SNESGetSolution(snes, &x));
2715:   PetscCall(VecDuplicate(x, &g1));
2716:   PetscCall(VecDuplicate(x, &g2));
2717:   PetscCall(VecDuplicate(x, &g3));
2718:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() correctly */
2719:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2721:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2722:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2723:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2724:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2725:   PetscCall(VecDot(g1, g2, &dot));
2726:   PetscCall(VecCopy(g1, g3));
2727:   PetscCall(VecAXPY(g3, -1.0, g2));
2728:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2729:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2730:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2731:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2732:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2734:   if (complete_print) {
2735:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2736:     PetscCall(VecView(g1, mviewer));
2737:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2738:     PetscCall(VecView(g2, mviewer));
2739:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2740:     PetscCall(VecView(g3, mviewer));
2741:   }
2742:   PetscCall(VecDestroy(&g1));
2743:   PetscCall(VecDestroy(&g2));
2744:   PetscCall(VecDestroy(&g3));

2746:   if (complete_print) {
2747:     PetscCall(PetscViewerPopFormat(mviewer));
2748:     PetscCall(PetscViewerDestroy(&mviewer));
2749:   }
2750:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2751:   PetscFunctionReturn(PETSC_SUCCESS);
2752: }

2754: /*@
2755:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2757:   Collective

2759:   Input Parameter:
2760: . snes - the `SNES` context

2762:   Output Parameters:
2763: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2764: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2766:   Options Database Keys:
2767: + -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.
2768: - -snes_test_jacobian_view        - display the user provided Jacobian, the finite difference Jacobian and the difference

2770:   Level: developer

2772:   Note:
2773:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2775: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2776: @*/
2777: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2778: {
2779:   Mat               A, B, C, D, jacobian;
2780:   Vec               x = snes->vec_sol, f;
2781:   PetscReal         nrm, gnorm;
2782:   PetscReal         threshold = 1.e-5;
2783:   void             *functx;
2784:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2785:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2786:   PetscViewer       viewer, mviewer;
2787:   MPI_Comm          comm;
2788:   PetscInt          tabs;
2789:   static PetscBool  directionsprinted = PETSC_FALSE;
2790:   PetscViewerFormat format;

2792:   PetscFunctionBegin;
2793:   PetscObjectOptionsBegin((PetscObject)snes);
2794:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2795:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2796:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2797:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2798:   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));
2799:   PetscOptionsEnd();

2801:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2802:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2803:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2804:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2805:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2806:   if (!complete_print && !silent && !directionsprinted) {
2807:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2808:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2809:   }
2810:   if (!directionsprinted && !silent) {
2811:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2812:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2813:     directionsprinted = PETSC_TRUE;
2814:   }
2815:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2817:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2818:   if (!flg) jacobian = snes->jacobian;
2819:   else jacobian = snes->jacobian_pre;

2821:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2822:   else PetscCall(PetscObjectReference((PetscObject)x));
2823:   PetscCall(VecDuplicate(x, &f));

2825:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2826:   PetscCall(SNESComputeFunction(snes, x, f));
2827:   PetscCall(VecDestroy(&f));
2828:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2829:   while (jacobian) {
2830:     Mat JT = NULL, Jsave = NULL;

2832:     if (istranspose) {
2833:       PetscCall(MatCreateTranspose(jacobian, &JT));
2834:       Jsave    = jacobian;
2835:       jacobian = JT;
2836:     }
2837:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2838:     if (flg) {
2839:       A = jacobian;
2840:       PetscCall(PetscObjectReference((PetscObject)A));
2841:     } else {
2842:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2843:     }

2845:     PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &B));
2846:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2848:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2849:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2851:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2852:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2853:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2854:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2855:     PetscCall(MatDestroy(&D));
2856:     if (!gnorm) gnorm = 1; /* just in case */
2857:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2858:     if (complete_print) {
2859:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2860:       PetscCall(MatView(A, mviewer));
2861:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2862:       PetscCall(MatView(B, mviewer));
2863:     }

2865:     if (threshold_print || complete_print) {
2866:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2867:       PetscScalar       *cvals;
2868:       const PetscInt    *bcols;
2869:       const PetscScalar *bvals;

2871:       PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &C));
2872:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2874:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2875:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2877:       for (row = Istart; row < Iend; row++) {
2878:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2879:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2880:         for (j = 0, cncols = 0; j < bncols; j++) {
2881:           if (PetscAbsScalar(bvals[j]) > threshold) {
2882:             ccols[cncols] = bcols[j];
2883:             cvals[cncols] = bvals[j];
2884:             cncols += 1;
2885:           }
2886:         }
2887:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2888:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2889:         PetscCall(PetscFree2(ccols, cvals));
2890:       }
2891:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2892:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2893:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2894:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2895:       PetscCall(MatDestroy(&C));
2896:     }
2897:     PetscCall(MatDestroy(&A));
2898:     PetscCall(MatDestroy(&B));
2899:     PetscCall(MatDestroy(&JT));
2900:     if (Jsave) jacobian = Jsave;
2901:     if (jacobian != snes->jacobian_pre) {
2902:       jacobian = snes->jacobian_pre;
2903:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2904:     } else jacobian = NULL;
2905:   }
2906:   PetscCall(VecDestroy(&x));
2907:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2908:   PetscCall(PetscViewerDestroy(&mviewer));
2909:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2911:   if (Jnorm) *Jnorm = gnorm;
2912:   if (diffNorm) *diffNorm = nrm;
2913:   PetscFunctionReturn(PETSC_SUCCESS);
2914: }

2916: /*@
2917:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2919:   Collective

2921:   Input Parameters:
2922: + snes - the `SNES` context
2923: - X    - input vector

2925:   Output Parameters:
2926: + A - Jacobian matrix
2927: - B - optional matrix for building the preconditioner, usually the same as `A`

2929:   Options Database Keys:
2930: + -snes_lag_preconditioner lag          - how often to rebuild preconditioner
2931: . -snes_lag_jacobian lag                - how often to rebuild Jacobian
2932: . -snes_test_jacobian [threshold]       - compare the user provided Jacobian with one compute via finite differences to check for errors.
2933:                                           If a threshold is given, display only those entries whose difference is greater than the threshold.
2934: . -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
2935: . -snes_compare_explicit                - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2936: . -snes_compare_explicit_draw           - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2937: . -snes_compare_explicit_contour        - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2938: . -snes_compare_operator                - Make the comparison options above use the operator instead of the matrix used to construct the preconditioner
2939: . -snes_compare_coloring                - Compute the finite difference Jacobian using coloring and display norms of difference
2940: . -snes_compare_coloring_display        - Compute the finite difference Jacobian using coloring and display verbose differences
2941: . -snes_compare_coloring_threshold      - Display only those matrix entries that differ by more than a given threshold
2942: . -snes_compare_coloring_threshold_atol - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2943: . -snes_compare_coloring_threshold_rtol - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2944: . -snes_compare_coloring_draw           - Compute the finite difference Jacobian using coloring and draw differences
2945: - -snes_compare_coloring_draw_contour   - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2947:   Level: developer

2949:   Note:
2950:   Most users should not need to explicitly call this routine, as it
2951:   is used internally within the nonlinear solvers.

2953:   Developer Note:
2954:   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
2955:   with the `SNESType` of test that has been removed.

2957: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
2958:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
2959: @*/
2960: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2961: {
2962:   PetscBool flag;
2963:   DM        dm;
2964:   DMSNES    sdm;
2965:   KSP       ksp;

2967:   PetscFunctionBegin;
2970:   PetscCheckSameComm(snes, 1, X, 2);
2971:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2972:   PetscCall(SNESGetDM(snes, &dm));
2973:   PetscCall(DMGetDMSNES(dm, &sdm));

2975:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2976:   if (snes->lagjacobian == -2) {
2977:     snes->lagjacobian = -1;

2979:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2980:   } else if (snes->lagjacobian == -1) {
2981:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2982:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2983:     if (flag) {
2984:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2985:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2986:     }
2987:     PetscFunctionReturn(PETSC_SUCCESS);
2988:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2989:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2990:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2991:     if (flag) {
2992:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2993:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2994:     }
2995:     PetscFunctionReturn(PETSC_SUCCESS);
2996:   }
2997:   if (snes->npc && snes->npcside == PC_LEFT) {
2998:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2999:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
3000:     PetscFunctionReturn(PETSC_SUCCESS);
3001:   }

3003:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
3004:   PetscCall(VecLockReadPush(X));
3005:   {
3006:     void           *ctx;
3007:     SNESJacobianFn *J;
3008:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3009:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3010:   }
3011:   PetscCall(VecLockReadPop(X));
3012:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3014:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3015:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3017:   /* the next line ensures that snes->ksp exists */
3018:   PetscCall(SNESGetKSP(snes, &ksp));
3019:   if (snes->lagpreconditioner == -2) {
3020:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3021:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3022:     snes->lagpreconditioner = -1;
3023:   } else if (snes->lagpreconditioner == -1) {
3024:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3025:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3026:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3027:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3028:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3029:   } else {
3030:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3031:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3032:   }

3034:   /* monkey business to allow testing Jacobians in multilevel solvers.
3035:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3036:   {
3037:     Vec xsave            = snes->vec_sol;
3038:     Mat jacobiansave     = snes->jacobian;
3039:     Mat jacobian_presave = snes->jacobian_pre;

3041:     snes->vec_sol      = X;
3042:     snes->jacobian     = A;
3043:     snes->jacobian_pre = B;
3044:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3045:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3047:     snes->vec_sol      = xsave;
3048:     snes->jacobian     = jacobiansave;
3049:     snes->jacobian_pre = jacobian_presave;
3050:   }

3052:   {
3053:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3054:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3055:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3056:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3057:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3058:     if (flag || flag_draw || flag_contour) {
3059:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3060:       PetscViewer vdraw, vstdout;
3061:       PetscBool   flg;
3062:       if (flag_operator) {
3063:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3064:         Bexp = Bexp_mine;
3065:       } else {
3066:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3067:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3068:         if (flg) Bexp = B;
3069:         else {
3070:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3071:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3072:           Bexp = Bexp_mine;
3073:         }
3074:       }
3075:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3076:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3077:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3078:       if (flag_draw || flag_contour) {
3079:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3080:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3081:       } else vdraw = NULL;
3082:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3083:       if (flag) PetscCall(MatView(Bexp, vstdout));
3084:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3085:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3086:       if (flag) PetscCall(MatView(FDexp, vstdout));
3087:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3088:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3089:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3090:       if (flag) PetscCall(MatView(FDexp, vstdout));
3091:       if (vdraw) { /* Always use contour for the difference */
3092:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3093:         PetscCall(MatView(FDexp, vdraw));
3094:         PetscCall(PetscViewerPopFormat(vdraw));
3095:       }
3096:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3097:       PetscCall(PetscViewerDestroy(&vdraw));
3098:       PetscCall(MatDestroy(&Bexp_mine));
3099:       PetscCall(MatDestroy(&FDexp));
3100:     }
3101:   }
3102:   {
3103:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3104:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3105:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3106:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3107:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3108:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3109:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3110:     if (flag_threshold) {
3111:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3112:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3113:     }
3114:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3115:       Mat             Bfd;
3116:       PetscViewer     vdraw, vstdout;
3117:       MatColoring     coloring;
3118:       ISColoring      iscoloring;
3119:       MatFDColoring   matfdcoloring;
3120:       SNESFunctionFn *func;
3121:       void           *funcctx;
3122:       PetscReal       norm1, norm2, normmax;

3124:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3125:       PetscCall(MatColoringCreate(Bfd, &coloring));
3126:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3127:       PetscCall(MatColoringSetFromOptions(coloring));
3128:       PetscCall(MatColoringApply(coloring, &iscoloring));
3129:       PetscCall(MatColoringDestroy(&coloring));
3130:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3131:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3132:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3133:       PetscCall(ISColoringDestroy(&iscoloring));

3135:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3136:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3137:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3138:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3139:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3140:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3141:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3142:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3144:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3145:       if (flag_draw || flag_contour) {
3146:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3147:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3148:       } else vdraw = NULL;
3149:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3150:       if (flag_display) PetscCall(MatView(B, vstdout));
3151:       if (vdraw) PetscCall(MatView(B, vdraw));
3152:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3153:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3154:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3155:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3156:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3157:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3158:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3159:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3160:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3161:       if (vdraw) { /* Always use contour for the difference */
3162:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3163:         PetscCall(MatView(Bfd, vdraw));
3164:         PetscCall(PetscViewerPopFormat(vdraw));
3165:       }
3166:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3168:       if (flag_threshold) {
3169:         PetscInt bs, rstart, rend, i;
3170:         PetscCall(MatGetBlockSize(B, &bs));
3171:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3172:         for (i = rstart; i < rend; i++) {
3173:           const PetscScalar *ba, *ca;
3174:           const PetscInt    *bj, *cj;
3175:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3176:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3177:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3178:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3179:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3180:           for (j = 0; j < bn; j++) {
3181:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3182:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3183:               maxentrycol = bj[j];
3184:               maxentry    = PetscRealPart(ba[j]);
3185:             }
3186:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3187:               maxdiffcol = bj[j];
3188:               maxdiff    = PetscRealPart(ca[j]);
3189:             }
3190:             if (rdiff > maxrdiff) {
3191:               maxrdiffcol = bj[j];
3192:               maxrdiff    = rdiff;
3193:             }
3194:           }
3195:           if (maxrdiff > 1) {
3196:             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));
3197:             for (j = 0; j < bn; j++) {
3198:               PetscReal rdiff;
3199:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3200:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3201:             }
3202:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3203:           }
3204:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3205:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3206:         }
3207:       }
3208:       PetscCall(PetscViewerDestroy(&vdraw));
3209:       PetscCall(MatDestroy(&Bfd));
3210:     }
3211:   }
3212:   PetscFunctionReturn(PETSC_SUCCESS);
3213: }

3215: /*@C
3216:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3217:   location to store the matrix.

3219:   Logically Collective

3221:   Input Parameters:
3222: + snes - the `SNES` context
3223: . Amat - the matrix that defines the (approximate) Jacobian
3224: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3225: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3226: - ctx  - [optional] user-defined context for private data for the
3227:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3229:   Level: beginner

3231:   Notes:
3232:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3233:   each matrix.

3235:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3236:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3238:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3239:   must be a `MatFDColoring`.

3241:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3242:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3244: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3245:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3246: @*/
3247: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3248: {
3249:   DM dm;

3251:   PetscFunctionBegin;
3255:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3256:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3257:   PetscCall(SNESGetDM(snes, &dm));
3258:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3259:   if (Amat) {
3260:     PetscCall(PetscObjectReference((PetscObject)Amat));
3261:     PetscCall(MatDestroy(&snes->jacobian));

3263:     snes->jacobian = Amat;
3264:   }
3265:   if (Pmat) {
3266:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3267:     PetscCall(MatDestroy(&snes->jacobian_pre));

3269:     snes->jacobian_pre = Pmat;
3270:   }
3271:   PetscFunctionReturn(PETSC_SUCCESS);
3272: }

3274: /*@C
3275:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3276:   provided context for evaluating the Jacobian.

3278:   Not Collective, but `Mat` object will be parallel if `SNES` is

3280:   Input Parameter:
3281: . snes - the nonlinear solver context

3283:   Output Parameters:
3284: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3285: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3286: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3287: - ctx  - location to stash Jacobian ctx (or `NULL`)

3289:   Level: advanced

3291: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3292: @*/
3293: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3294: {
3295:   DM dm;

3297:   PetscFunctionBegin;
3299:   if (Amat) *Amat = snes->jacobian;
3300:   if (Pmat) *Pmat = snes->jacobian_pre;
3301:   PetscCall(SNESGetDM(snes, &dm));
3302:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3303:   PetscFunctionReturn(PETSC_SUCCESS);
3304: }

3306: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3307: {
3308:   DM     dm;
3309:   DMSNES sdm;

3311:   PetscFunctionBegin;
3312:   PetscCall(SNESGetDM(snes, &dm));
3313:   PetscCall(DMGetDMSNES(dm, &sdm));
3314:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3315:     DM        dm;
3316:     PetscBool isdense, ismf;

3318:     PetscCall(SNESGetDM(snes, &dm));
3319:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3320:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3321:     if (isdense) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3322:     else if (!ismf) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3323:   }
3324:   PetscFunctionReturn(PETSC_SUCCESS);
3325: }

3327: /*@
3328:   SNESSetUp - Sets up the internal data structures for the later use
3329:   of a nonlinear solver `SNESSolve()`.

3331:   Collective

3333:   Input Parameter:
3334: . snes - the `SNES` context

3336:   Level: advanced

3338:   Note:
3339:   For basic use of the `SNES` solvers the user does not need to explicitly call
3340:   `SNESSetUp()`, since these actions will automatically occur during
3341:   the call to `SNESSolve()`.  However, if one wishes to control this
3342:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3343:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3345: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3346: @*/
3347: PetscErrorCode SNESSetUp(SNES snes)
3348: {
3349:   DM             dm;
3350:   DMSNES         sdm;
3351:   SNESLineSearch linesearch, pclinesearch;
3352:   void          *lsprectx, *lspostctx;
3353:   PetscBool      mf_operator, mf;
3354:   Vec            f, fpc;
3355:   void          *funcctx;
3356:   void          *jacctx, *appctx;
3357:   Mat            j, jpre;
3358:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, PetscCtx);
3359:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, PetscCtx);
3360:   SNESFunctionFn *func;
3361:   SNESJacobianFn *jac;

3363:   PetscFunctionBegin;
3365:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3366:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3368:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3370:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3372:   PetscCall(SNESGetDM(snes, &dm));
3373:   PetscCall(DMGetDMSNES(dm, &sdm));
3374:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3376:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3378:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3380:   if (snes->linesearch) {
3381:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3382:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3383:   }

3385:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3386:   if (snes->npc && snes->npcside == PC_LEFT) {
3387:     snes->mf          = PETSC_TRUE;
3388:     snes->mf_operator = PETSC_FALSE;
3389:   }

3391:   if (snes->npc) {
3392:     /* copy the DM over */
3393:     PetscCall(SNESGetDM(snes, &dm));
3394:     PetscCall(SNESSetDM(snes->npc, dm));

3396:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3397:     PetscCall(VecDuplicate(f, &fpc));
3398:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3399:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3400:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3401:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3402:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3403:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3404:     PetscCall(VecDestroy(&fpc));

3406:     /* copy the function pointers over */
3407:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3409:     /* default to 1 iteration */
3410:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3411:     if (snes->npcside == PC_RIGHT) {
3412:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3413:     } else {
3414:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3415:     }
3416:     PetscCall(SNESSetFromOptions(snes->npc));

3418:     /* copy the line search context over */
3419:     if (snes->linesearch && snes->npc->linesearch) {
3420:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3421:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3422:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3423:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3424:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3425:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3426:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3427:     }
3428:   }
3429:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3430:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));

3432:   snes->jac_iter = 0;
3433:   snes->pre_iter = 0;

3435:   PetscTryTypeMethod(snes, setup);

3437:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3439:   if (snes->npc && snes->npcside == PC_LEFT) {
3440:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3441:       if (snes->linesearch) {
3442:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3443:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3444:       }
3445:     }
3446:   }
3447:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3448:   snes->setupcalled = PETSC_TRUE;
3449:   PetscFunctionReturn(PETSC_SUCCESS);
3450: }

3452: /*@
3453:   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

3455:   Collective

3457:   Input Parameter:
3458: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3460:   Level: intermediate

3462:   Notes:
3463:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3465:   Call this if you wish to reuse a `SNES` but with different size vectors

3467:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3469: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3470: @*/
3471: PetscErrorCode SNESReset(SNES snes)
3472: {
3473:   PetscFunctionBegin;
3475:   if (snes->ops->ctxdestroy && snes->ctx) {
3476:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3477:     snes->ctx = NULL;
3478:   }
3479:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3481:   PetscTryTypeMethod(snes, reset);
3482:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3484:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3486:   PetscCall(VecDestroy(&snes->vec_rhs));
3487:   PetscCall(VecDestroy(&snes->vec_sol));
3488:   PetscCall(VecDestroy(&snes->vec_sol_update));
3489:   PetscCall(VecDestroy(&snes->vec_func));
3490:   PetscCall(MatDestroy(&snes->jacobian));
3491:   PetscCall(MatDestroy(&snes->jacobian_pre));
3492:   PetscCall(MatDestroy(&snes->picard));
3493:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3494:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3496:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3498:   snes->nwork = snes->nvwork = 0;
3499:   snes->setupcalled          = PETSC_FALSE;
3500:   PetscFunctionReturn(PETSC_SUCCESS);
3501: }

3503: /*@
3504:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3505:   removes the default viewer.

3507:   Collective

3509:   Input Parameter:
3510: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3512:   Level: intermediate

3514: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3515: @*/
3516: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3517: {
3518:   PetscFunctionBegin;
3520:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
3521:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3522:   }
3523:   snes->numberreasonviews = 0;
3524:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3525:   PetscFunctionReturn(PETSC_SUCCESS);
3526: }

3528: /*@
3529:   SNESDestroy - Destroys the nonlinear solver context that was created
3530:   with `SNESCreate()`.

3532:   Collective

3534:   Input Parameter:
3535: . snes - the `SNES` context

3537:   Level: beginner

3539: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3540: @*/
3541: PetscErrorCode SNESDestroy(SNES *snes)
3542: {
3543:   DM dm;

3545:   PetscFunctionBegin;
3546:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3548:   if (--((PetscObject)*snes)->refct > 0) {
3549:     *snes = NULL;
3550:     PetscFunctionReturn(PETSC_SUCCESS);
3551:   }

3553:   PetscCall(SNESReset(*snes));
3554:   PetscCall(SNESDestroy(&(*snes)->npc));

3556:   /* if memory was published with SAWs then destroy it */
3557:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3558:   PetscTryTypeMethod(*snes, destroy);

3560:   dm = (*snes)->dm;
3561:   while (dm) {
3562:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3563:     PetscCall(DMGetCoarseDM(dm, &dm));
3564:   }

3566:   PetscCall(DMDestroy(&(*snes)->dm));
3567:   PetscCall(KSPDestroy(&(*snes)->ksp));
3568:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3570:   PetscCall(PetscFree((*snes)->kspconvctx));
3571:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3572:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3573:   PetscCall(SNESMonitorCancel(*snes));
3574:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3575:   PetscCall(PetscHeaderDestroy(snes));
3576:   PetscFunctionReturn(PETSC_SUCCESS);
3577: }

3579: /* ----------- Routines to set solver parameters ---------- */

3581: /*@
3582:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3584:   Logically Collective

3586:   Input Parameters:
3587: + snes - the `SNES` context
3588: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3589:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3591:   Options Database Keys:
3592: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple `SNESSolve()`
3593: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3594: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple `SNESSolve()`
3595: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3597:   Level: intermediate

3599:   Notes:
3600:   The default is 1

3602:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3604:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3606: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3607:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3608: @*/
3609: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3610: {
3611:   PetscFunctionBegin;
3613:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3614:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3616:   snes->lagpreconditioner = lag;
3617:   PetscFunctionReturn(PETSC_SUCCESS);
3618: }

3620: /*@
3621:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3623:   Logically Collective

3625:   Input Parameters:
3626: + snes  - the `SNES` context
3627: - steps - the number of refinements to do, defaults to 0

3629:   Options Database Key:
3630: . -snes_grid_sequence steps - Use grid sequencing to generate initial guess

3632:   Level: intermediate

3634:   Notes:
3635:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3637:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3639: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3640:           `SNESSetDM()`, `SNESSolve()`
3641: @*/
3642: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3643: {
3644:   PetscFunctionBegin;
3647:   snes->gridsequence = steps;
3648:   PetscFunctionReturn(PETSC_SUCCESS);
3649: }

3651: /*@
3652:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3654:   Logically Collective

3656:   Input Parameter:
3657: . snes - the `SNES` context

3659:   Output Parameter:
3660: . steps - the number of refinements to do, defaults to 0

3662:   Level: intermediate

3664: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3665: @*/
3666: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3667: {
3668:   PetscFunctionBegin;
3670:   *steps = snes->gridsequence;
3671:   PetscFunctionReturn(PETSC_SUCCESS);
3672: }

3674: /*@
3675:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3677:   Not Collective

3679:   Input Parameter:
3680: . snes - the `SNES` context

3682:   Output Parameter:
3683: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3684:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3686:   Level: intermediate

3688:   Notes:
3689:   The default is 1

3691:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3693: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3694: @*/
3695: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3696: {
3697:   PetscFunctionBegin;
3699:   *lag = snes->lagpreconditioner;
3700:   PetscFunctionReturn(PETSC_SUCCESS);
3701: }

3703: /*@
3704:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3705:   often the preconditioner is rebuilt.

3707:   Logically Collective

3709:   Input Parameters:
3710: + snes - the `SNES` context
3711: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3712:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3714:   Options Database Keys:
3715: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3716: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3717: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3718: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag.

3720:   Level: intermediate

3722:   Notes:
3723:   The default is 1

3725:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3727:   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
3728:   at the next Newton step but never again (unless it is reset to another value)

3730: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3731: @*/
3732: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3733: {
3734:   PetscFunctionBegin;
3736:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3737:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3739:   snes->lagjacobian = lag;
3740:   PetscFunctionReturn(PETSC_SUCCESS);
3741: }

3743: /*@
3744:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3746:   Not Collective

3748:   Input Parameter:
3749: . snes - the `SNES` context

3751:   Output Parameter:
3752: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3753:          the Jacobian is built etc.

3755:   Level: intermediate

3757:   Notes:
3758:   The default is 1

3760:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3762: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3763: @*/
3764: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3765: {
3766:   PetscFunctionBegin;
3768:   *lag = snes->lagjacobian;
3769:   PetscFunctionReturn(PETSC_SUCCESS);
3770: }

3772: /*@
3773:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3775:   Logically collective

3777:   Input Parameters:
3778: + snes - the `SNES` context
3779: - flg  - jacobian lagging persists if true

3781:   Options Database Keys:
3782: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3783: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3784: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3785: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3787:   Level: advanced

3789:   Notes:
3790:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3792:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3793:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3794:   timesteps may present huge efficiency gains.

3796: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3797: @*/
3798: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3799: {
3800:   PetscFunctionBegin;
3803:   snes->lagjac_persist = flg;
3804:   PetscFunctionReturn(PETSC_SUCCESS);
3805: }

3807: /*@
3808:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3810:   Logically Collective

3812:   Input Parameters:
3813: + snes - the `SNES` context
3814: - flg  - preconditioner lagging persists if true

3816:   Options Database Keys:
3817: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3818: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3819: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3820: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3822:   Level: developer

3824:   Notes:
3825:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3827:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3828:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3829:   several timesteps may present huge efficiency gains.

3831: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3832: @*/
3833: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3834: {
3835:   PetscFunctionBegin;
3838:   snes->lagpre_persist = flg;
3839:   PetscFunctionReturn(PETSC_SUCCESS);
3840: }

3842: /*@
3843:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3845:   Logically Collective

3847:   Input Parameters:
3848: + snes  - the `SNES` context
3849: - force - `PETSC_TRUE` require at least one iteration

3851:   Options Database Key:
3852: . -snes_force_iteration force - Sets forcing an iteration

3854:   Level: intermediate

3856:   Note:
3857:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3859: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3860: @*/
3861: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3862: {
3863:   PetscFunctionBegin;
3865:   snes->forceiteration = force;
3866:   PetscFunctionReturn(PETSC_SUCCESS);
3867: }

3869: /*@
3870:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3872:   Logically Collective

3874:   Input Parameter:
3875: . snes - the `SNES` context

3877:   Output Parameter:
3878: . force - `PETSC_TRUE` requires at least one iteration.

3880:   Level: intermediate

3882: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3883: @*/
3884: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3885: {
3886:   PetscFunctionBegin;
3888:   *force = snes->forceiteration;
3889:   PetscFunctionReturn(PETSC_SUCCESS);
3890: }

3892: /*@
3893:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

3895:   Logically Collective

3897:   Input Parameters:
3898: + snes   - the `SNES` context
3899: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
3900: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
3901: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3902: . maxit  - the maximum number of iterations allowed in the solver, default 50.
3903: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

3905:   Options Database Keys:
3906: + -snes_atol abstol    - Sets `abstol`
3907: . -snes_rtol rtol      - Sets `rtol`
3908: . -snes_stol stol      - Sets `stol`
3909: . -snes_max_it maxit   - Sets `maxit`
3910: - -snes_max_funcs maxf - Sets `maxf` (use `unlimited` to have no maximum)

3912:   Level: intermediate

3914:   Note:
3915:   All parameters must be non-negative

3917:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
3918:   The default value is the value in the object when its type is set.

3920:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

3922:   Fortran Note:
3923:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

3925: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3926: @*/
3927: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3928: {
3929:   PetscFunctionBegin;

3937:   if (abstol == (PetscReal)PETSC_DETERMINE) {
3938:     snes->abstol = snes->default_abstol;
3939:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
3940:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3941:     snes->abstol = abstol;
3942:   }

3944:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3945:     snes->rtol = snes->default_rtol;
3946:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3947:     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);
3948:     snes->rtol = rtol;
3949:   }

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

3958:   if (maxit == PETSC_DETERMINE) {
3959:     snes->max_its = snes->default_max_its;
3960:   } else if (maxit == PETSC_UNLIMITED) {
3961:     snes->max_its = PETSC_INT_MAX;
3962:   } else if (maxit != PETSC_CURRENT) {
3963:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3964:     snes->max_its = maxit;
3965:   }

3967:   if (maxf == PETSC_DETERMINE) {
3968:     snes->max_funcs = snes->default_max_funcs;
3969:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
3970:     snes->max_funcs = PETSC_UNLIMITED;
3971:   } else if (maxf != PETSC_CURRENT) {
3972:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
3973:     snes->max_funcs = maxf;
3974:   }
3975:   PetscFunctionReturn(PETSC_SUCCESS);
3976: }

3978: /*@
3979:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3981:   Logically Collective

3983:   Input Parameters:
3984: + snes   - the `SNES` context
3985: - 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
3986:            is stopped due to divergence.

3988:   Options Database Key:
3989: . -snes_divergence_tolerance divtol - Sets `divtol`

3991:   Level: intermediate

3993:   Notes:
3994:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

3996:   Fortran Note:
3997:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

3999: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
4000: @*/
4001: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
4002: {
4003:   PetscFunctionBegin;

4007:   if (divtol == (PetscReal)PETSC_DETERMINE) {
4008:     snes->divtol = snes->default_divtol;
4009:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
4010:     snes->divtol = PETSC_UNLIMITED;
4011:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4012:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4013:     snes->divtol = divtol;
4014:   }
4015:   PetscFunctionReturn(PETSC_SUCCESS);
4016: }

4018: /*@
4019:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4021:   Not Collective

4023:   Input Parameter:
4024: . snes - the `SNES` context

4026:   Output Parameters:
4027: + atol  - the absolute convergence tolerance
4028: . rtol  - the relative convergence tolerance
4029: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4030: . maxit - the maximum number of iterations allowed
4031: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4033:   Level: intermediate

4035:   Notes:
4036:   See `SNESSetTolerances()` for details on the parameters.

4038:   The user can specify `NULL` for any parameter that is not needed.

4040: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4041: @*/
4042: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4043: {
4044:   PetscFunctionBegin;
4046:   if (atol) *atol = snes->abstol;
4047:   if (rtol) *rtol = snes->rtol;
4048:   if (stol) *stol = snes->stol;
4049:   if (maxit) *maxit = snes->max_its;
4050:   if (maxf) *maxf = snes->max_funcs;
4051:   PetscFunctionReturn(PETSC_SUCCESS);
4052: }

4054: /*@
4055:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4057:   Not Collective

4059:   Input Parameters:
4060: + snes   - the `SNES` context
4061: - divtol - divergence tolerance

4063:   Level: intermediate

4065: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4066: @*/
4067: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4068: {
4069:   PetscFunctionBegin;
4071:   if (divtol) *divtol = snes->divtol;
4072:   PetscFunctionReturn(PETSC_SUCCESS);
4073: }

4075: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4077: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, PetscCtx monctx)
4078: {
4079:   PetscDrawLG      lg;
4080:   PetscReal        x, y, per;
4081:   PetscViewer      v = (PetscViewer)monctx;
4082:   static PetscReal prev; /* should be in the context */
4083:   PetscDraw        draw;

4085:   PetscFunctionBegin;
4087:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4088:   if (!n) PetscCall(PetscDrawLGReset(lg));
4089:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4090:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4091:   x = (PetscReal)n;
4092:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4093:   else y = -15.0;
4094:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4095:   if (n < 20 || !(n % 5) || snes->reason) {
4096:     PetscCall(PetscDrawLGDraw(lg));
4097:     PetscCall(PetscDrawLGSave(lg));
4098:   }

4100:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4101:   if (!n) PetscCall(PetscDrawLGReset(lg));
4102:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4103:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4104:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4105:   x = (PetscReal)n;
4106:   y = 100.0 * per;
4107:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4108:   if (n < 20 || !(n % 5) || snes->reason) {
4109:     PetscCall(PetscDrawLGDraw(lg));
4110:     PetscCall(PetscDrawLGSave(lg));
4111:   }

4113:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4114:   if (!n) {
4115:     prev = rnorm;
4116:     PetscCall(PetscDrawLGReset(lg));
4117:   }
4118:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4119:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4120:   x = (PetscReal)n;
4121:   y = (prev - rnorm) / prev;
4122:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4123:   if (n < 20 || !(n % 5) || snes->reason) {
4124:     PetscCall(PetscDrawLGDraw(lg));
4125:     PetscCall(PetscDrawLGSave(lg));
4126:   }

4128:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4129:   if (!n) PetscCall(PetscDrawLGReset(lg));
4130:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4131:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4132:   x = (PetscReal)n;
4133:   y = (prev - rnorm) / (prev * per);
4134:   if (n > 2) { /*skip initial crazy value */
4135:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4136:   }
4137:   if (n < 20 || !(n % 5) || snes->reason) {
4138:     PetscCall(PetscDrawLGDraw(lg));
4139:     PetscCall(PetscDrawLGSave(lg));
4140:   }
4141:   prev = rnorm;
4142:   PetscFunctionReturn(PETSC_SUCCESS);
4143: }

4145: /*@
4146:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4148:   Collective

4150:   Input Parameters:
4151: + snes  - the `SNES` context
4152: . it    - current iteration
4153: . xnorm - 2-norm of current iterate
4154: . snorm - 2-norm of current step
4155: - fnorm - 2-norm of function

4157:   Level: developer

4159:   Note:
4160:   This routine is called by the `SNESSolve()` implementations.
4161:   It does not typically need to be called by the user.

4163: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4164: @*/
4165: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4166: {
4167:   PetscFunctionBegin;
4168:   if (!snes->reason) {
4169:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4170:     if (it == snes->max_its && !snes->reason) {
4171:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4172:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4173:         snes->reason = SNES_DIVERGED_MAX_IT;
4174:       } else snes->reason = SNES_CONVERGED_ITS;
4175:     }
4176:   }
4177:   PetscFunctionReturn(PETSC_SUCCESS);
4178: }

4180: /*@
4181:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4183:   Collective

4185:   Input Parameters:
4186: + snes  - nonlinear solver context obtained from `SNESCreate()`
4187: . iter  - current iteration number
4188: - rnorm - current relative norm of the residual

4190:   Level: developer

4192:   Note:
4193:   This routine is called by the `SNESSolve()` implementations.
4194:   It does not typically need to be called by the user.

4196: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4197: @*/
4198: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4199: {
4200:   PetscInt i, n = snes->numbermonitors;

4202:   PetscFunctionBegin;
4203:   PetscCall(VecLockReadPush(snes->vec_sol));
4204:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4205:   PetscCall(VecLockReadPop(snes->vec_sol));
4206:   PetscFunctionReturn(PETSC_SUCCESS);
4207: }

4209: /* ------------ Routines to set performance monitoring options ----------- */

4211: /*MC
4212:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4214:      Synopsis:
4215: #include <petscsnes.h>
4216:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, PetscCtx mctx)

4218:      Collective

4220:     Input Parameters:
4221: +    snes - the `SNES` context
4222: .    its - iteration number
4223: .    norm - 2-norm function value (may be estimated)
4224: -    mctx - [optional] monitoring context

4226:    Level: advanced

4228: .seealso: [](ch_snes), `SNESMonitorSet()`, `PetscCtx`
4229: M*/

4231: /*@C
4232:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4233:   iteration of the `SNES` nonlinear solver to display the iteration's
4234:   progress.

4236:   Logically Collective

4238:   Input Parameters:
4239: + snes           - the `SNES` context
4240: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4241: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4242: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4244:   Calling sequence of f:
4245: + snes  - the `SNES` object
4246: . it    - the current iteration
4247: . rnorm - norm of the residual
4248: - mctx  - the optional monitor context

4250:   Options Database Keys:
4251: + -snes_monitor               - sets `SNESMonitorDefault()`
4252: . -snes_monitor draw::draw_lg - sets line graph monitor
4253: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4254:                                 the options database.

4256:   Level: intermediate

4258:   Note:
4259:   Several different monitoring routines may be set by calling
4260:   `SNESMonitorSet()` multiple times; all will be called in the
4261:   order in which they were set.

4263:   Fortran Note:
4264:   Only a single monitor function can be set for each `SNES` object

4266: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4267: @*/
4268: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscInt it, PetscReal rnorm, PetscCtx mctx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4269: {
4270:   PetscFunctionBegin;
4272:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4273:     PetscBool identical;

4275:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4276:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4277:   }
4278:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4279:   snes->monitor[snes->numbermonitors]          = f;
4280:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4281:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4282:   PetscFunctionReturn(PETSC_SUCCESS);
4283: }

4285: /*@
4286:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4288:   Logically Collective

4290:   Input Parameter:
4291: . snes - the `SNES` context

4293:   Options Database Key:
4294: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4295:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4296:                          set via the options database

4298:   Level: intermediate

4300:   Note:
4301:   There is no way to clear one specific monitor from a `SNES` object.

4303: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4304: @*/
4305: PetscErrorCode SNESMonitorCancel(SNES snes)
4306: {
4307:   PetscFunctionBegin;
4309:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4310:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4311:   }
4312:   snes->numbermonitors = 0;
4313:   PetscFunctionReturn(PETSC_SUCCESS);
4314: }

4316: /*@C
4317:   SNESSetConvergenceTest - Sets the function that is to be used
4318:   to test for convergence of the nonlinear iterative solution.

4320:   Logically Collective

4322:   Input Parameters:
4323: + snes    - the `SNES` context
4324: . func    - routine to test for convergence
4325: . ctx     - [optional] context for private data for the convergence routine  (may be `NULL`)
4326: - destroy - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4328:   Calling sequence of func:
4329: + snes   - the `SNES` context
4330: . it     - the current iteration number
4331: . xnorm  - the norm of the new solution
4332: . snorm  - the norm of the step
4333: . fnorm  - the norm of the function value
4334: . reason - output, the reason convergence or divergence as declared
4335: - ctx    - the optional convergence test context

4337:   Level: advanced

4339: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`
4340: @*/
4341: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm, SNESConvergedReason *reason, PetscCtx ctx), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4342: {
4343:   PetscFunctionBegin;
4345:   if (!func) func = SNESConvergedSkip;
4346:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4347:   snes->ops->converged        = func;
4348:   snes->ops->convergeddestroy = destroy;
4349:   snes->cnvP                  = ctx;
4350:   PetscFunctionReturn(PETSC_SUCCESS);
4351: }

4353: /*@
4354:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4356:   Not Collective

4358:   Input Parameter:
4359: . snes - the `SNES` context

4361:   Output Parameter:
4362: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4364:   Options Database Key:
4365: . -snes_converged_reason - prints the reason to standard out

4367:   Level: intermediate

4369:   Note:
4370:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4372: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4373: @*/
4374: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4375: {
4376:   PetscFunctionBegin;
4378:   PetscAssertPointer(reason, 2);
4379:   *reason = snes->reason;
4380:   PetscFunctionReturn(PETSC_SUCCESS);
4381: }

4383: /*@C
4384:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4386:   Not Collective

4388:   Input Parameter:
4389: . snes - the `SNES` context

4391:   Output Parameter:
4392: . strreason - a human readable string that describes `SNES` converged reason

4394:   Level: beginner

4396: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4397: @*/
4398: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4399: {
4400:   PetscFunctionBegin;
4402:   PetscAssertPointer(strreason, 2);
4403:   *strreason = SNESConvergedReasons[snes->reason];
4404:   PetscFunctionReturn(PETSC_SUCCESS);
4405: }

4407: /*@
4408:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4410:   Not Collective

4412:   Input Parameters:
4413: + snes   - the `SNES` context
4414: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4415:             manual pages for the individual convergence tests for complete lists

4417:   Level: developer

4419:   Developer Note:
4420:   Called inside the various `SNESSolve()` implementations

4422: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4423: @*/
4424: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4425: {
4426:   PetscFunctionBegin;
4428:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4429:   snes->reason = reason;
4430:   PetscFunctionReturn(PETSC_SUCCESS);
4431: }

4433: /*@
4434:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4436:   Logically Collective

4438:   Input Parameters:
4439: + snes  - iterative context obtained from `SNESCreate()`
4440: . a     - array to hold history, this array will contain the function norms computed at each step
4441: . its   - integer array holds the number of linear iterations for each solve.
4442: . na    - size of `a` and `its`
4443: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4444:           else it continues storing new values for new nonlinear solves after the old ones

4446:   Level: intermediate

4448:   Notes:
4449:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4450:   default array of length 1,000 is allocated.

4452:   This routine is useful, e.g., when running a code for purposes
4453:   of accurate performance monitoring, when no I/O should be done
4454:   during the section of code that is being timed.

4456:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4458: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4459: @*/
4460: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4461: {
4462:   PetscFunctionBegin;
4464:   if (a) PetscAssertPointer(a, 2);
4465:   if (its) PetscAssertPointer(its, 3);
4466:   if (!a) {
4467:     if (na == PETSC_DECIDE) na = 1000;
4468:     PetscCall(PetscCalloc2(na, &a, na, &its));
4469:     snes->conv_hist_alloc = PETSC_TRUE;
4470:   }
4471:   snes->conv_hist       = a;
4472:   snes->conv_hist_its   = its;
4473:   snes->conv_hist_max   = (size_t)na;
4474:   snes->conv_hist_len   = 0;
4475:   snes->conv_hist_reset = reset;
4476:   PetscFunctionReturn(PETSC_SUCCESS);
4477: }

4479: #if defined(PETSC_HAVE_MATLAB)
4480:   #include <engine.h> /* MATLAB include file */
4481:   #include <mex.h>    /* MATLAB include file */

4483: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4484: {
4485:   mxArray   *mat;
4486:   PetscReal *ar;

4488:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4489:   ar  = (PetscReal *)mxGetData(mat);
4490:   for (PetscInt i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4491:   return mat;
4492: }
4493: #endif

4495: /*@C
4496:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4498:   Not Collective

4500:   Input Parameter:
4501: . snes - iterative context obtained from `SNESCreate()`

4503:   Output Parameters:
4504: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4505: . its - integer array holds the number of linear iterations (or
4506:          negative if not converged) for each solve.
4507: - na  - size of `a` and `its`

4509:   Level: intermediate

4511:   Note:
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:   Fortran Notes:
4517:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4519:   Use the arguments
4520: .vb
4521:   PetscReal, pointer :: a(:)
4522:   PetscInt, pointer :: its(:)
4523: .ve

4525: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4526: @*/
4527: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4528: {
4529:   PetscFunctionBegin;
4531:   if (a) *a = snes->conv_hist;
4532:   if (its) *its = snes->conv_hist_its;
4533:   if (na) *na = (PetscInt)snes->conv_hist_len;
4534:   PetscFunctionReturn(PETSC_SUCCESS);
4535: }

4537: /*@C
4538:   SNESSetUpdate - Sets the general-purpose update function called
4539:   at the beginning of every iteration of the nonlinear solve. Specifically
4540:   it is called just before the Jacobian is "evaluated" and after the function
4541:   evaluation.

4543:   Logically Collective

4545:   Input Parameters:
4546: + snes - The nonlinear solver context
4547: - func - The update function; for calling sequence see `SNESUpdateFn`

4549:   Level: advanced

4551:   Notes:
4552:   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
4553:   to `SNESSetFunction()`, or `SNESSetPicard()`
4554:   This is not used by most users, and it is intended to provide a general hook that is run
4555:   right before the direction step is computed.

4557:   Users are free to modify the current residual vector,
4558:   the current linearization point, or any other vector associated to the specific solver used.
4559:   If such modifications take place, it is the user responsibility to update all the relevant
4560:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4561: .vb
4562:   PetscErrorCode update(SNES snes, PetscInt iteration)
4563:   {
4564:     PetscFunctionBeginUser;
4565:     if (iteration > 0) {
4566:       // update the model parameters here
4567:       Vec x,f;
4568:       PetscCall(SNESGetSolution(snes,&x));
4569:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4570:       PetscCall(SNESComputeFunction(snes,x,f));
4571:     }
4572:     PetscFunctionReturn(PETSC_SUCCESS);
4573:   }
4574: .ve

4576:   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.

4578: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4579:          `SNESMonitorSet()`
4580: @*/
4581: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4582: {
4583:   PetscFunctionBegin;
4585:   snes->ops->update = func;
4586:   PetscFunctionReturn(PETSC_SUCCESS);
4587: }

4589: /*@
4590:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4592:   Collective

4594:   Input Parameters:
4595: + snes   - iterative context obtained from `SNESCreate()`
4596: - viewer - the viewer to display the reason

4598:   Options Database Keys:
4599: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4600: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4602:   Level: beginner

4604:   Note:
4605:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4606:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4608: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4609:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4610:           `SNESConvergedReasonViewFromOptions()`,
4611:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4612: @*/
4613: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4614: {
4615:   PetscViewerFormat format;
4616:   PetscBool         isAscii;

4618:   PetscFunctionBegin;
4619:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4620:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4621:   if (isAscii) {
4622:     PetscCall(PetscViewerGetFormat(viewer, &format));
4623:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4624:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4625:       DM       dm;
4626:       Vec      u;
4627:       PetscDS  prob;
4628:       PetscInt Nf;
4629:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4630:       void    **exactCtx;
4631:       PetscReal error;

4633:       PetscCall(SNESGetDM(snes, &dm));
4634:       PetscCall(SNESGetSolution(snes, &u));
4635:       PetscCall(DMGetDS(dm, &prob));
4636:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4637:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4638:       for (PetscInt f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4639:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4640:       PetscCall(PetscFree2(exactSol, exactCtx));
4641:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4642:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4643:     }
4644:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4645:       if (((PetscObject)snes)->prefix) {
4646:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4647:       } else {
4648:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4649:       }
4650:     } else if (snes->reason <= 0) {
4651:       if (((PetscObject)snes)->prefix) {
4652:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4653:       } else {
4654:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4655:       }
4656:     }
4657:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4658:   }
4659:   PetscFunctionReturn(PETSC_SUCCESS);
4660: }

4662: /*@C
4663:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4664:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4666:   Logically Collective

4668:   Input Parameters:
4669: + snes              - the `SNES` context
4670: . f                 - the `SNESConvergedReason` view function
4671: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4672: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4674:   Calling sequence of `f`:
4675: + snes - the `SNES` context
4676: - vctx - [optional] context for private data for the function

4678:   Options Database Keys:
4679: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4680: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4681:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4683:   Level: intermediate

4685:   Note:
4686:   Several different converged reason view routines may be set by calling
4687:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4688:   order in which they were set.

4690: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4691:           `PetscCtxDestroyFn`
4692: @*/
4693: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscCtx vctx), PetscCtx vctx, PetscCtxDestroyFn *reasonviewdestroy)
4694: {
4695:   PetscFunctionBegin;
4697:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4698:     PetscBool identical;

4700:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4701:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4702:   }
4703:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4704:   snes->reasonview[snes->numberreasonviews]          = f;
4705:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4706:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4707:   PetscFunctionReturn(PETSC_SUCCESS);
4708: }

4710: /*@
4711:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4712:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4714:   Collective

4716:   Input Parameter:
4717: . snes - the `SNES` object

4719:   Level: advanced

4721:   Note:
4722:   This function has a different API and behavior than `PetscObjectViewFromOptions()`

4724: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4725:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4726: @*/
4727: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4728: {
4729:   static PetscBool incall = PETSC_FALSE;

4731:   PetscFunctionBegin;
4732:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4733:   incall = PETSC_TRUE;

4735:   /* All user-provided viewers are called first, if they exist. */
4736:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4738:   /* Call PETSc default routine if users ask for it */
4739:   if (snes->convergedreasonviewer) {
4740:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4741:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4742:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4743:   }
4744:   incall = PETSC_FALSE;
4745:   PetscFunctionReturn(PETSC_SUCCESS);
4746: }

4748: /*@
4749:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4751:   Collective

4753:   Input Parameters:
4754: + snes - the `SNES` context
4755: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4756: - x    - the solution vector.

4758:   Level: beginner

4760:   Note:
4761:   The user should initialize the vector, `x`, with the initial guess
4762:   for the nonlinear solve prior to calling `SNESSolve()` .

4764: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4765:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4766:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4767: @*/
4768: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4769: {
4770:   PetscBool flg;
4771:   Vec       xcreated = NULL;
4772:   DM        dm;

4774:   PetscFunctionBegin;
4777:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4779:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4781:   /* High level operations using the nonlinear solver */
4782:   {
4783:     PetscViewer       viewer;
4784:     PetscViewerFormat format;
4785:     PetscInt          num;
4786:     PetscBool         flg;
4787:     static PetscBool  incall = PETSC_FALSE;

4789:     if (!incall) {
4790:       /* Estimate the convergence rate of the discretization */
4791:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4792:       if (flg) {
4793:         PetscConvEst conv;
4794:         DM           dm;
4795:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4796:         PetscInt     Nf;

4798:         incall = PETSC_TRUE;
4799:         PetscCall(SNESGetDM(snes, &dm));
4800:         PetscCall(DMGetNumFields(dm, &Nf));
4801:         PetscCall(PetscCalloc1(Nf, &alpha));
4802:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4803:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4804:         PetscCall(PetscConvEstSetFromOptions(conv));
4805:         PetscCall(PetscConvEstSetUp(conv));
4806:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4807:         PetscCall(PetscViewerPushFormat(viewer, format));
4808:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4809:         PetscCall(PetscViewerPopFormat(viewer));
4810:         PetscCall(PetscViewerDestroy(&viewer));
4811:         PetscCall(PetscConvEstDestroy(&conv));
4812:         PetscCall(PetscFree(alpha));
4813:         incall = PETSC_FALSE;
4814:       }
4815:       /* Adaptively refine the initial grid */
4816:       num = 1;
4817:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4818:       if (flg) {
4819:         DMAdaptor adaptor;

4821:         incall = PETSC_TRUE;
4822:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4823:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4824:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4825:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4826:         PetscCall(DMAdaptorSetUp(adaptor));
4827:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4828:         PetscCall(DMAdaptorDestroy(&adaptor));
4829:         incall = PETSC_FALSE;
4830:       }
4831:       /* Use grid sequencing to adapt */
4832:       num = 0;
4833:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4834:       if (num) {
4835:         DMAdaptor   adaptor;
4836:         const char *prefix;

4838:         incall = PETSC_TRUE;
4839:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4840:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4841:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4842:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4843:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4844:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4845:         PetscCall(DMAdaptorSetUp(adaptor));
4846:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4847:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4848:         PetscCall(DMAdaptorDestroy(&adaptor));
4849:         incall = PETSC_FALSE;
4850:       }
4851:     }
4852:   }
4853:   if (!x) x = snes->vec_sol;
4854:   if (!x) {
4855:     PetscCall(SNESGetDM(snes, &dm));
4856:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4857:     x = xcreated;
4858:   }
4859:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4861:   for (PetscInt grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4862:   for (PetscInt grid = 0; grid < snes->gridsequence + 1; grid++) {
4863:     /* set solution vector */
4864:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4865:     PetscCall(VecDestroy(&snes->vec_sol));
4866:     snes->vec_sol = x;
4867:     PetscCall(SNESGetDM(snes, &dm));

4869:     /* set affine vector if provided */
4870:     PetscCall(PetscObjectReference((PetscObject)b));
4871:     PetscCall(VecDestroy(&snes->vec_rhs));
4872:     snes->vec_rhs = b;

4874:     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");
4875:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4876:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4877:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4878:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4879:     PetscCall(SNESSetUp(snes));

4881:     if (!grid) {
4882:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4883:     }

4885:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4886:     PetscCall(SNESResetCounters(snes));
4887:     snes->reason = SNES_CONVERGED_ITERATING;
4888:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4889:     PetscUseTypeMethod(snes, solve);
4890:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4891:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4892:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
4893:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
4894:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

4896:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4897:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4899:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4900:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4901:     /* Call converged reason views. This may involve user-provided viewers as well */
4902:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4904:     if (snes->errorifnotconverged) {
4905:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
4906:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4907:     }
4908:     if (snes->reason < 0) break;
4909:     if (grid < snes->gridsequence) {
4910:       DM  fine;
4911:       Vec xnew;
4912:       Mat interp;

4914:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4915:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4916:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4917:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4918:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4919:       PetscCall(MatInterpolate(interp, x, xnew));
4920:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4921:       PetscCall(MatDestroy(&interp));
4922:       x = xnew;

4924:       PetscCall(SNESReset(snes));
4925:       PetscCall(SNESSetDM(snes, fine));
4926:       PetscCall(SNESResetFromOptions(snes));
4927:       PetscCall(DMDestroy(&fine));
4928:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4929:     }
4930:   }
4931:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4932:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4933:   PetscCall(DMMonitor(snes->dm));
4934:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4936:   PetscCall(VecDestroy(&xcreated));
4937:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4938:   PetscFunctionReturn(PETSC_SUCCESS);
4939: }

4941: /* --------- Internal routines for SNES Package --------- */

4943: /*@
4944:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

4946:   Collective

4948:   Input Parameters:
4949: + snes - the `SNES` context
4950: - type - a known method

4952:   Options Database Key:
4953: . -snes_type type - Sets the method; see `SNESType`

4955:   Level: intermediate

4957:   Notes:
4958:   See `SNESType` for available methods (for instance)
4959: +    `SNESNEWTONLS` - Newton's method with line search
4960:   (systems of nonlinear equations)
4961: -    `SNESNEWTONTR` - Newton's method with trust region
4962:   (systems of nonlinear equations)

4964:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4965:   set the `SNES` solver type from the options database rather than by using
4966:   this routine.  Using the options database provides the user with
4967:   maximum flexibility in evaluating the many nonlinear solvers.
4968:   The `SNESSetType()` routine is provided for those situations where it
4969:   is necessary to set the nonlinear solver independently of the command
4970:   line or options database.  This might be the case, for example, when
4971:   the choice of solver changes during the execution of the program,
4972:   and the user's application is taking responsibility for choosing the
4973:   appropriate method.

4975:   Developer Note:
4976:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4977:   the constructor in that list and calls it to create the specific object.

4979: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4980: @*/
4981: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4982: {
4983:   PetscBool match;
4984:   PetscErrorCode (*r)(SNES);

4986:   PetscFunctionBegin;
4988:   PetscAssertPointer(type, 2);

4990:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4991:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4993:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4994:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4995:   /* Destroy the previous private SNES context */
4996:   PetscTryTypeMethod(snes, destroy);
4997:   /* Reinitialize type-specific function pointers in SNESOps structure */
4998:   snes->ops->reset          = NULL;
4999:   snes->ops->setup          = NULL;
5000:   snes->ops->solve          = NULL;
5001:   snes->ops->view           = NULL;
5002:   snes->ops->setfromoptions = NULL;
5003:   snes->ops->destroy        = NULL;

5005:   /* It may happen the user has customized the line search before calling SNESSetType */
5006:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5008:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5009:   snes->setupcalled = PETSC_FALSE;

5011:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5012:   PetscCall((*r)(snes));
5013:   PetscFunctionReturn(PETSC_SUCCESS);
5014: }

5016: /*@
5017:   SNESGetType - Gets the `SNES` method type and name (as a string).

5019:   Not Collective

5021:   Input Parameter:
5022: . snes - nonlinear solver context

5024:   Output Parameter:
5025: . type - `SNES` method (a character string)

5027:   Level: intermediate

5029: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
5030: @*/
5031: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5032: {
5033:   PetscFunctionBegin;
5035:   PetscAssertPointer(type, 2);
5036:   *type = ((PetscObject)snes)->type_name;
5037:   PetscFunctionReturn(PETSC_SUCCESS);
5038: }

5040: /*@
5041:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5043:   Logically Collective

5045:   Input Parameters:
5046: + snes - the `SNES` context obtained from `SNESCreate()`
5047: - u    - the solution vector

5049:   Level: beginner

5051: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5052: @*/
5053: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5054: {
5055:   DM dm;

5057:   PetscFunctionBegin;
5060:   PetscCall(PetscObjectReference((PetscObject)u));
5061:   PetscCall(VecDestroy(&snes->vec_sol));

5063:   snes->vec_sol = u;

5065:   PetscCall(SNESGetDM(snes, &dm));
5066:   PetscCall(DMShellSetGlobalVector(dm, u));
5067:   PetscFunctionReturn(PETSC_SUCCESS);
5068: }

5070: /*@
5071:   SNESGetSolution - Returns the vector where the approximate solution is
5072:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5074:   Not Collective, but `x` is parallel if `snes` is parallel

5076:   Input Parameter:
5077: . snes - the `SNES` context

5079:   Output Parameter:
5080: . x - the solution

5082:   Level: intermediate

5084: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5085: @*/
5086: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5087: {
5088:   PetscFunctionBegin;
5090:   PetscAssertPointer(x, 2);
5091:   *x = snes->vec_sol;
5092:   PetscFunctionReturn(PETSC_SUCCESS);
5093: }

5095: /*@
5096:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5097:   stored.

5099:   Not Collective, but `x` is parallel if `snes` is parallel

5101:   Input Parameter:
5102: . snes - the `SNES` context

5104:   Output Parameter:
5105: . x - the solution update

5107:   Level: advanced

5109: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5110: @*/
5111: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5112: {
5113:   PetscFunctionBegin;
5115:   PetscAssertPointer(x, 2);
5116:   *x = snes->vec_sol_update;
5117:   PetscFunctionReturn(PETSC_SUCCESS);
5118: }

5120: /*@C
5121:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5123:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5125:   Input Parameter:
5126: . snes - the `SNES` context

5128:   Output Parameters:
5129: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5130: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5131: - ctx - the function context (or `NULL` if you don't want it)

5133:   Level: advanced

5135:   Note:
5136:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5138: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5139: @*/
5140: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5141: {
5142:   DM dm;

5144:   PetscFunctionBegin;
5146:   if (r) {
5147:     if (!snes->vec_func) {
5148:       if (snes->vec_rhs) {
5149:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5150:       } else if (snes->vec_sol) {
5151:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5152:       } else if (snes->dm) {
5153:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5154:       }
5155:     }
5156:     *r = snes->vec_func;
5157:   }
5158:   PetscCall(SNESGetDM(snes, &dm));
5159:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5160:   PetscFunctionReturn(PETSC_SUCCESS);
5161: }

5163: /*@C
5164:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

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

5169:   Output Parameters:
5170: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5171: - ctx - the function context (or `NULL`)

5173:   Level: advanced

5175: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5176: @*/
5177: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5178: {
5179:   DM dm;

5181:   PetscFunctionBegin;
5183:   PetscCall(SNESGetDM(snes, &dm));
5184:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5185:   PetscFunctionReturn(PETSC_SUCCESS);
5186: }

5188: /*@
5189:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5190:   `SNES` options in the database.

5192:   Logically Collective

5194:   Input Parameters:
5195: + snes   - the `SNES` context
5196: - prefix - the prefix to prepend to all option names

5198:   Level: advanced

5200:   Note:
5201:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5202:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5204: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5205: @*/
5206: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5207: {
5208:   PetscFunctionBegin;
5210:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5211:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5212:   if (snes->linesearch) {
5213:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5214:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5215:   }
5216:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5217:   PetscFunctionReturn(PETSC_SUCCESS);
5218: }

5220: /*@
5221:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5222:   `SNES` options in the database.

5224:   Logically Collective

5226:   Input Parameters:
5227: + snes   - the `SNES` context
5228: - prefix - the prefix to prepend to all option names

5230:   Level: advanced

5232:   Note:
5233:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5234:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5236: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5237: @*/
5238: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5239: {
5240:   PetscFunctionBegin;
5242:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5243:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5244:   if (snes->linesearch) {
5245:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5246:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5247:   }
5248:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5249:   PetscFunctionReturn(PETSC_SUCCESS);
5250: }

5252: /*@
5253:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5254:   `SNES` options in the database.

5256:   Not Collective

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

5261:   Output Parameter:
5262: . prefix - pointer to the prefix string used

5264:   Level: advanced

5266: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5267: @*/
5268: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5269: {
5270:   PetscFunctionBegin;
5272:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5273:   PetscFunctionReturn(PETSC_SUCCESS);
5274: }

5276: /*@C
5277:   SNESRegister - Adds a method to the nonlinear solver package.

5279:   Not Collective

5281:   Input Parameters:
5282: + sname    - name of a new user-defined solver
5283: - function - routine to create method context

5285:   Level: advanced

5287:   Note:
5288:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5290:   Example Usage:
5291: .vb
5292:    SNESRegister("my_solver", MySolverCreate);
5293: .ve

5295:   Then, your solver can be chosen with the procedural interface via
5296: .vb
5297:   SNESSetType(snes, "my_solver")
5298: .ve
5299:   or at runtime via the option
5300: .vb
5301:   -snes_type my_solver
5302: .ve

5304: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5305: @*/
5306: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5307: {
5308:   PetscFunctionBegin;
5309:   PetscCall(SNESInitializePackage());
5310:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5311:   PetscFunctionReturn(PETSC_SUCCESS);
5312: }

5314: PetscErrorCode SNESTestLocalMin(SNES snes)
5315: {
5316:   PetscInt    N, i, j;
5317:   Vec         u, uh, fh;
5318:   PetscScalar value;
5319:   PetscReal   norm;

5321:   PetscFunctionBegin;
5322:   PetscCall(SNESGetSolution(snes, &u));
5323:   PetscCall(VecDuplicate(u, &uh));
5324:   PetscCall(VecDuplicate(u, &fh));

5326:   /* currently only works for sequential */
5327:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5328:   PetscCall(VecGetSize(u, &N));
5329:   for (i = 0; i < N; i++) {
5330:     PetscCall(VecCopy(u, uh));
5331:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5332:     for (j = -10; j < 11; j++) {
5333:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5334:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5335:       PetscCall(SNESComputeFunction(snes, uh, fh));
5336:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5337:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5338:       value = -value;
5339:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5340:     }
5341:   }
5342:   PetscCall(VecDestroy(&uh));
5343:   PetscCall(VecDestroy(&fh));
5344:   PetscFunctionReturn(PETSC_SUCCESS);
5345: }

5347: /*@
5348:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5350:   Not Collective

5352:   Input Parameter:
5353: . snes - iterative context obtained from `SNESCreate()`

5355:   Output Parameter:
5356: . linesearch - linesearch context

5358:   Level: beginner

5360:   Notes:
5361:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5363:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5365: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5366: @*/
5367: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5368: {
5369:   const char *optionsprefix;

5371:   PetscFunctionBegin;
5373:   PetscAssertPointer(linesearch, 2);
5374:   if (!snes->linesearch) {
5375:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5376:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5377:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5378:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5379:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5380:   }
5381:   *linesearch = snes->linesearch;
5382:   PetscFunctionReturn(PETSC_SUCCESS);
5383: }

5385: /*@
5386:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5387:   computing relative tolerance for linear solvers within an inexact
5388:   Newton method.

5390:   Logically Collective

5392:   Input Parameters:
5393: + snes - `SNES` context
5394: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5396:   Options Database Keys:
5397: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
5398: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
5399: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
5400: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
5401: . -snes_ksp_ew_gamma gamma         - Sets gamma
5402: . -snes_ksp_ew_alpha alpha         - Sets alpha
5403: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
5404: - -snes_ksp_ew_threshold threshold - Sets threshold

5406:   Level: advanced

5408:   Note:
5409:   The default is to use a constant relative tolerance for
5410:   the inner linear solvers.  Alternatively, one can use the
5411:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5412:   is reset at each Newton iteration according progress of the nonlinear
5413:   solver.

5415: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5416: @*/
5417: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5418: {
5419:   PetscFunctionBegin;
5422:   snes->ksp_ewconv = flag;
5423:   PetscFunctionReturn(PETSC_SUCCESS);
5424: }

5426: /*@
5427:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5428:   for computing relative tolerance for linear solvers within an
5429:   inexact Newton method.

5431:   Not Collective

5433:   Input Parameter:
5434: . snes - `SNES` context

5436:   Output Parameter:
5437: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5439:   Level: advanced

5441: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5442: @*/
5443: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5444: {
5445:   PetscFunctionBegin;
5447:   PetscAssertPointer(flag, 2);
5448:   *flag = snes->ksp_ewconv;
5449:   PetscFunctionReturn(PETSC_SUCCESS);
5450: }

5452: /*@
5453:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5454:   convergence criteria for the linear solvers within an inexact
5455:   Newton method.

5457:   Logically Collective

5459:   Input Parameters:
5460: + snes      - `SNES` context
5461: . version   - version 1, 2 (default is 2), 3 or 4
5462: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5463: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5464: . gamma     - multiplicative factor for version 2 rtol computation
5465:              (0 <= gamma2 <= 1)
5466: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5467: . alpha2    - power for safeguard
5468: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5470:   Level: advanced

5472:   Notes:
5473:   Version 3 was contributed by Luis Chacon, June 2006.

5475:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5477: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5478: @*/
5479: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5480: {
5481:   SNESKSPEW *kctx;

5483:   PetscFunctionBegin;
5485:   kctx = (SNESKSPEW *)snes->kspconvctx;
5486:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5495:   if (version != PETSC_CURRENT) kctx->version = version;
5496:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5497:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5498:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5499:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5500:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5501:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5503:   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);
5504:   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);
5505:   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);
5506:   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);
5507:   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);
5508:   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);
5509:   PetscFunctionReturn(PETSC_SUCCESS);
5510: }

5512: /*@
5513:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5514:   convergence criteria for the linear solvers within an inexact
5515:   Newton method.

5517:   Not Collective

5519:   Input Parameter:
5520: . snes - `SNES` context

5522:   Output Parameters:
5523: + version   - version 1, 2 (default is 2), 3 or 4
5524: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5525: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5526: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5527: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5528: . alpha2    - power for safeguard
5529: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5531:   Level: advanced

5533: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5534: @*/
5535: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5536: {
5537:   SNESKSPEW *kctx;

5539:   PetscFunctionBegin;
5541:   kctx = (SNESKSPEW *)snes->kspconvctx;
5542:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5543:   if (version) *version = kctx->version;
5544:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5545:   if (rtol_max) *rtol_max = kctx->rtol_max;
5546:   if (gamma) *gamma = kctx->gamma;
5547:   if (alpha) *alpha = kctx->alpha;
5548:   if (alpha2) *alpha2 = kctx->alpha2;
5549:   if (threshold) *threshold = kctx->threshold;
5550:   PetscFunctionReturn(PETSC_SUCCESS);
5551: }

5553: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5554: {
5555:   SNES       snes = (SNES)ctx;
5556:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5557:   PetscReal  rtol = PETSC_CURRENT, stol;

5559:   PetscFunctionBegin;
5560:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5561:   if (!snes->iter) {
5562:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5563:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5564:   } else {
5565:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5566:     if (kctx->version == 1) {
5567:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5568:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5569:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5570:     } else if (kctx->version == 2) {
5571:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5572:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5573:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5574:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5575:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5576:       /* safeguard: avoid sharp decrease of rtol */
5577:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5578:       stol = PetscMax(rtol, stol);
5579:       rtol = PetscMin(kctx->rtol_0, stol);
5580:       /* safeguard: avoid oversolving */
5581:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5582:       stol = PetscMax(rtol, stol);
5583:       rtol = PetscMin(kctx->rtol_0, stol);
5584:     } else /* if (kctx->version == 4) */ {
5585:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5586:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5587:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5588:       PetscReal rk   = ared / pred;
5589:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5590:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5591:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5592:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5594:       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;
5595:       kctx->rtol_last_2 = kctx->rtol_last;
5596:       kctx->rk_last_2   = kctx->rk_last;
5597:       kctx->rk_last     = rk;
5598:     }
5599:   }
5600:   /* safeguard: avoid rtol greater than rtol_max */
5601:   rtol = PetscMin(rtol, kctx->rtol_max);
5602:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5603:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5604:   PetscFunctionReturn(PETSC_SUCCESS);
5605: }

5607: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5608: {
5609:   SNES       snes = (SNES)ctx;
5610:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5611:   PCSide     pcside;
5612:   Vec        lres;

5614:   PetscFunctionBegin;
5615:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5616:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5617:   kctx->norm_last = snes->norm;
5618:   if (kctx->version == 1 || kctx->version == 4) {
5619:     PC        pc;
5620:     PetscBool getRes;

5622:     PetscCall(KSPGetPC(ksp, &pc));
5623:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5624:     if (!getRes) {
5625:       KSPNormType normtype;

5627:       PetscCall(KSPGetNormType(ksp, &normtype));
5628:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5629:     }
5630:     PetscCall(KSPGetPCSide(ksp, &pcside));
5631:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5632:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5633:     } else {
5634:       /* KSP residual is preconditioned residual */
5635:       /* compute true linear residual norm */
5636:       Mat J;
5637:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5638:       PetscCall(VecDuplicate(b, &lres));
5639:       PetscCall(MatMult(J, x, lres));
5640:       PetscCall(VecAYPX(lres, -1.0, b));
5641:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5642:       PetscCall(VecDestroy(&lres));
5643:     }
5644:   }
5645:   PetscFunctionReturn(PETSC_SUCCESS);
5646: }

5648: /*@
5649:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5651:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5653:   Input Parameter:
5654: . snes - the `SNES` context

5656:   Output Parameter:
5657: . ksp - the `KSP` context

5659:   Level: beginner

5661:   Notes:
5662:   The user can then directly manipulate the `KSP` context to set various
5663:   options, etc.  Likewise, the user can then extract and manipulate the
5664:   `PC` contexts as well.

5666:   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.

5668: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5669: @*/
5670: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5671: {
5672:   PetscFunctionBegin;
5674:   PetscAssertPointer(ksp, 2);

5676:   if (!snes->ksp) {
5677:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5678:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5680:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5681:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5683:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5684:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5685:   }
5686:   *ksp = snes->ksp;
5687:   PetscFunctionReturn(PETSC_SUCCESS);
5688: }

5690: #include <petsc/private/dmimpl.h>
5691: /*@
5692:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5694:   Logically Collective

5696:   Input Parameters:
5697: + snes - the nonlinear solver context
5698: - dm   - the `DM`, cannot be `NULL`

5700:   Level: intermediate

5702:   Note:
5703:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5704:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5705:   problems using the same function space.

5707: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5708: @*/
5709: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5710: {
5711:   KSP    ksp;
5712:   DMSNES sdm;

5714:   PetscFunctionBegin;
5717:   PetscCall(PetscObjectReference((PetscObject)dm));
5718:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5719:     if (snes->dm->dmsnes && !dm->dmsnes) {
5720:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5721:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5722:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5723:     }
5724:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5725:     PetscCall(DMDestroy(&snes->dm));
5726:   }
5727:   snes->dm     = dm;
5728:   snes->dmAuto = PETSC_FALSE;

5730:   PetscCall(SNESGetKSP(snes, &ksp));
5731:   PetscCall(KSPSetDM(ksp, dm));
5732:   PetscCall(KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE));
5733:   if (snes->npc) {
5734:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5735:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5736:   }
5737:   PetscFunctionReturn(PETSC_SUCCESS);
5738: }

5740: /*@
5741:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5743:   Not Collective but `dm` obtained is parallel on `snes`

5745:   Input Parameter:
5746: . snes - the `SNES` context

5748:   Output Parameter:
5749: . dm - the `DM`

5751:   Level: intermediate

5753: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5754: @*/
5755: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5756: {
5757:   PetscFunctionBegin;
5759:   if (!snes->dm) {
5760:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5761:     snes->dmAuto = PETSC_TRUE;
5762:   }
5763:   *dm = snes->dm;
5764:   PetscFunctionReturn(PETSC_SUCCESS);
5765: }

5767: /*@
5768:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5770:   Collective

5772:   Input Parameters:
5773: + snes - iterative context obtained from `SNESCreate()`
5774: - npc  - the `SNES` nonlinear preconditioner object

5776:   Options Database Key:
5777: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5779:   Level: developer

5781:   Notes:
5782:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5784:   Only some `SNESType` can use a nonlinear preconditioner

5786: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5787: @*/
5788: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5789: {
5790:   PetscFunctionBegin;
5793:   PetscCheckSameComm(snes, 1, npc, 2);
5794:   PetscCall(PetscObjectReference((PetscObject)npc));
5795:   PetscCall(SNESDestroy(&snes->npc));
5796:   snes->npc = npc;
5797:   PetscFunctionReturn(PETSC_SUCCESS);
5798: }

5800: /*@
5801:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5803:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5805:   Input Parameter:
5806: . snes - iterative context obtained from `SNESCreate()`

5808:   Output Parameter:
5809: . pc - the `SNES` preconditioner context

5811:   Options Database Key:
5812: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5814:   Level: advanced

5816:   Notes:
5817:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5818:   be used as the nonlinear preconditioner for the current `SNES`.

5820:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5821:   `SNES`. These may be overwritten if needed.

5823:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5825: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5826: @*/
5827: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5828: {
5829:   const char *optionsprefix;

5831:   PetscFunctionBegin;
5833:   PetscAssertPointer(pc, 2);
5834:   if (!snes->npc) {
5835:     PetscCtx ctx;

5837:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5838:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5839:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5840:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5841:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5842:     if (snes->ops->ctxcompute) {
5843:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->ctxcompute, snes->ops->ctxdestroy));
5844:     } else {
5845:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5846:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5847:     }
5848:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5849:   }
5850:   *pc = snes->npc;
5851:   PetscFunctionReturn(PETSC_SUCCESS);
5852: }

5854: /*@
5855:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5857:   Not Collective

5859:   Input Parameter:
5860: . snes - iterative context obtained from `SNESCreate()`

5862:   Output Parameter:
5863: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5865:   Level: developer

5867: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5868: @*/
5869: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5870: {
5871:   PetscFunctionBegin;
5873:   PetscAssertPointer(has_npc, 2);
5874:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5875:   PetscFunctionReturn(PETSC_SUCCESS);
5876: }

5878: /*@
5879:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5881:   Logically Collective

5883:   Input Parameter:
5884: . snes - iterative context obtained from `SNESCreate()`

5886:   Output Parameter:
5887: . side - the preconditioning side, where side is one of
5888: .vb
5889:       PC_LEFT  - left preconditioning
5890:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5891: .ve

5893:   Options Database Key:
5894: . -snes_npc_side (right|left) - nonlinear preconditioner side

5896:   Level: intermediate

5898:   Note:
5899:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5901: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5902: @*/
5903: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5904: {
5905:   PetscFunctionBegin;
5908:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5909:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5910:   snes->npcside = side;
5911:   PetscFunctionReturn(PETSC_SUCCESS);
5912: }

5914: /*@
5915:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5917:   Not Collective

5919:   Input Parameter:
5920: . snes - iterative context obtained from `SNESCreate()`

5922:   Output Parameter:
5923: . side - the preconditioning side, where side is one of
5924: .vb
5925:       `PC_LEFT` - left preconditioning
5926:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5927: .ve

5929:   Level: intermediate

5931: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5932: @*/
5933: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5934: {
5935:   PetscFunctionBegin;
5937:   PetscAssertPointer(side, 2);
5938:   *side = snes->npcside;
5939:   PetscFunctionReturn(PETSC_SUCCESS);
5940: }

5942: /*@
5943:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

5945:   Collective

5947:   Input Parameters:
5948: + snes       - iterative context obtained from `SNESCreate()`
5949: - linesearch - the linesearch object

5951:   Level: developer

5953:   Note:
5954:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5955:   to configure it using the API).

5957: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5958: @*/
5959: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5960: {
5961:   PetscFunctionBegin;
5964:   PetscCheckSameComm(snes, 1, linesearch, 2);
5965:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5966:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5968:   snes->linesearch = linesearch;
5969:   PetscFunctionReturn(PETSC_SUCCESS);
5970: }