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:   Level: intermediate

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

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

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

353:   Collective

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

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

362:   Level: beginner

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

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

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

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

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

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

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

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

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

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

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

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

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

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

563:   Not Collective

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

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

571:   Level: developer

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

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

588:   PetscFunctionBegin;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

742:   Collective

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

747:   Level: developer

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

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

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

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

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

810: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, PetscCtx);

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

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

823:   Collective

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

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

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

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

846:   Level: advanced

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

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

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

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

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

902:   Collective

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

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

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

952:   Level: beginner

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

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

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

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

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

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

999:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, &flg));
1000:   if (flg) PetscCall(SNESSetMaxNonlinearStepFailures(snes, snes->maxFailures));

1002:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1003:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1005:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1006:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1007:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1009:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1010:   if (flg) {
1011:     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");
1012:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1013:   }
1014:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1015:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1016:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1017:   if (flg) {
1018:     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");
1019:     PetscCall(SNESSetLagJacobian(snes, lag));
1020:   }
1021:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1022:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1024:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1025:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1027:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1028:   if (flg) {
1029:     switch (indx) {
1030:     case 0:
1031:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1032:       break;
1033:     case 1:
1034:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1035:       break;
1036:     case 2:
1037:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1038:       break;
1039:     }
1040:   }

1042:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1043:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1045:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1046:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1048:   kctx = (SNESKSPEW *)snes->kspconvctx;

1050:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1052:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1053:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1054:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1056:   flg = PETSC_FALSE;
1057:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1058:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1060:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1061:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1062:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1064:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1065:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1066:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1068:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1069:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1070:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1071:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1073:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1074:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1076:   flg = PETSC_FALSE;
1077:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1078:   if (flg) {
1079:     PetscViewer ctx;

1081:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1082:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1083:   }

1085:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1086:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1087:   flg = PETSC_FALSE;
1088:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1089:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1091:   flg = PETSC_FALSE;
1092:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1093:   if (flg) {
1094:     void *functx;
1095:     DM    dm;
1096:     PetscCall(SNESGetDM(snes, &dm));
1097:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1098:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1099:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1100:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1101:   }

1103:   flg = PETSC_FALSE;
1104:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1105:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1107:   flg = PETSC_FALSE;
1108:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1109:   if (flg) {
1110:     DM dm;
1111:     PetscCall(SNESGetDM(snes, &dm));
1112:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1113:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1114:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1115:   }

1117:   flg = PETSC_FALSE;
1118:   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));
1119:   if (flg && snes->mf_operator) {
1120:     snes->mf_operator = PETSC_TRUE;
1121:     snes->mf          = PETSC_TRUE;
1122:   }
1123:   flg = PETSC_FALSE;
1124:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1125:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1126:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1128:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1129:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1131:   flg = PETSC_FALSE;
1132:   PetscCall(SNESGetNPCSide(snes, &pcside));
1133:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1134:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1136: #if defined(PETSC_HAVE_SAWS)
1137:   /*
1138:     Publish convergence information using SAWs
1139:   */
1140:   flg = PETSC_FALSE;
1141:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1142:   if (flg) {
1143:     PetscCtx ctx;
1144:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1145:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1146:   }
1147: #endif
1148: #if defined(PETSC_HAVE_SAWS)
1149:   {
1150:     PetscBool set;
1151:     flg = PETSC_FALSE;
1152:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1153:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1154:   }
1155: #endif

1157:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1159:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1161:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1162:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1163:   PetscOptionsEnd();

1165:   if (snes->linesearch) {
1166:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1167:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1168:   }

1170:   if (snes->usesksp) {
1171:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1172:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1173:     PetscCall(KSPSetFromOptions(snes->ksp));
1174:   }

1176:   /* if user has set the SNES NPC type via options database, create it. */
1177:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1178:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1179:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1180:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1181:   snes->setfromoptionscalled++;
1182:   PetscFunctionReturn(PETSC_SUCCESS);
1183: }

1185: /*@
1186:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1188:   Collective

1190:   Input Parameter:
1191: . snes - the `SNES` context

1193:   Level: advanced

1195: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1196: @*/
1197: PetscErrorCode SNESResetFromOptions(SNES snes)
1198: {
1199:   PetscFunctionBegin;
1200:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1201:   PetscFunctionReturn(PETSC_SUCCESS);
1202: }

1204: /*@C
1205:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1206:   the nonlinear solvers.

1208:   Logically Collective; No Fortran Support

1210:   Input Parameters:
1211: + snes    - the `SNES` context
1212: . compute - function to compute the context
1213: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1215:   Calling sequence of `compute`:
1216: + snes - the `SNES` context
1217: - ctx  - context to be computed

1219:   Level: intermediate

1221:   Note:
1222:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1224:   Use `SNESSetApplicationContext()` to see the context immediately

1226: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1227: @*/
1228: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1229: {
1230:   PetscFunctionBegin;
1232:   snes->ops->ctxcompute = compute;
1233:   snes->ops->ctxdestroy = destroy;
1234:   PetscFunctionReturn(PETSC_SUCCESS);
1235: }

1237: /*@
1238:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1240:   Logically Collective

1242:   Input Parameters:
1243: + snes - the `SNES` context
1244: - ctx  - the user context

1246:   Level: intermediate

1248:   Notes:
1249:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1250:   with `SNESGetApplicationContext()`

1252:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1254:   Fortran Note:
1255:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1256:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1257:   an example.

1259: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1260: @*/
1261: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1262: {
1263:   KSP ksp;

1265:   PetscFunctionBegin;
1267:   PetscCall(SNESGetKSP(snes, &ksp));
1268:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1269:   snes->ctx = ctx;
1270:   PetscFunctionReturn(PETSC_SUCCESS);
1271: }

1273: /*@
1274:   SNESGetApplicationContext - Gets the user-defined context for the
1275:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1277:   Not Collective

1279:   Input Parameter:
1280: . snes - `SNES` context

1282:   Output Parameter:
1283: . ctx - the application context

1285:   Level: intermediate

1287:   Fortran Notes:
1288:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1289: .vb
1290:   type(tUsertype), pointer :: ctx
1291: .ve

1293: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1294: @*/
1295: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1296: {
1297:   PetscFunctionBegin;
1299:   *(void **)ctx = snes->ctx;
1300:   PetscFunctionReturn(PETSC_SUCCESS);
1301: }

1303: /*@
1304:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1306:   Logically Collective

1308:   Input Parameters:
1309: + snes        - `SNES` context
1310: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1311: - 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
1312:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1314:   Options Database Keys:
1315: + -snes_mf_operator - use matrix-free only for the mat operator
1316: . -snes_mf          - use matrix-free for both the mat and pmat operator
1317: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1318: - -snes_fd          - compute the Jacobian via finite differences (slow)

1320:   Level: intermediate

1322:   Note:
1323:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1324:   and computing explicitly with
1325:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1327: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1328: @*/
1329: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1330: {
1331:   PetscFunctionBegin;
1335:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1336:   snes->mf_operator = mf_operator;
1337:   PetscFunctionReturn(PETSC_SUCCESS);
1338: }

1340: /*@
1341:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1343:   Not Collective, but the resulting flags will be the same on all MPI processes

1345:   Input Parameter:
1346: . snes - `SNES` context

1348:   Output Parameters:
1349: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1350: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1352:   Level: intermediate

1354: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1355: @*/
1356: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1357: {
1358:   PetscFunctionBegin;
1360:   if (mf) *mf = snes->mf;
1361:   if (mf_operator) *mf_operator = snes->mf_operator;
1362:   PetscFunctionReturn(PETSC_SUCCESS);
1363: }

1365: /*@
1366:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1368:   Not Collective

1370:   Input Parameter:
1371: . snes - `SNES` context

1373:   Output Parameter:
1374: . iter - iteration number

1376:   Level: intermediate

1378:   Notes:
1379:   For example, during the computation of iteration 2 this would return 1.

1381:   This is useful for using lagged Jacobians (where one does not recompute the
1382:   Jacobian at each `SNES` iteration). For example, the code
1383: .vb
1384:       ierr = SNESGetIterationNumber(snes,&it);
1385:       if (!(it % 2)) {
1386:         [compute Jacobian here]
1387:       }
1388: .ve
1389:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1390:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1392:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1394: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1395: @*/
1396: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1397: {
1398:   PetscFunctionBegin;
1400:   PetscAssertPointer(iter, 2);
1401:   *iter = snes->iter;
1402:   PetscFunctionReturn(PETSC_SUCCESS);
1403: }

1405: /*@
1406:   SNESSetIterationNumber - Sets the current iteration number.

1408:   Not Collective

1410:   Input Parameters:
1411: + snes - `SNES` context
1412: - iter - iteration number

1414:   Level: developer

1416:   Note:
1417:   This should only be called inside a `SNES` nonlinear solver.

1419: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1420: @*/
1421: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1422: {
1423:   PetscFunctionBegin;
1425:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1426:   snes->iter = iter;
1427:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1428:   PetscFunctionReturn(PETSC_SUCCESS);
1429: }

1431: /*@
1432:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1433:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1435:   Not Collective

1437:   Input Parameter:
1438: . snes - `SNES` context

1440:   Output Parameter:
1441: . nfails - number of unsuccessful steps attempted

1443:   Level: intermediate

1445:   Notes:
1446:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1447:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1449:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1450:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1452:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1454:   This counter is reset to zero for each successive call to `SNESSolve()`.

1456: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1457:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1458: @*/
1459: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1460: {
1461:   PetscFunctionBegin;
1463:   PetscAssertPointer(nfails, 2);
1464:   *nfails = snes->numFailures;
1465:   PetscFunctionReturn(PETSC_SUCCESS);
1466: }

1468: /*@
1469:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1470:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1472:   Not Collective

1474:   Input Parameters:
1475: + snes     - `SNES` context
1476: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1478:   Options Database Key:
1479: . -snes_max_fail n - maximum number of unsuccessful steps allowed

1481:   Level: intermediate

1483:   Note:
1484:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1485:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1487:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1488:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1490:   Developer Note:
1491:   The options database key is wrong for this function name

1493: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1494:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1495: @*/
1496: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1497: {
1498:   PetscFunctionBegin;

1501:   if (maxFails == PETSC_UNLIMITED) {
1502:     snes->maxFailures = PETSC_INT_MAX;
1503:   } else {
1504:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1505:     snes->maxFailures = maxFails;
1506:   }
1507:   PetscFunctionReturn(PETSC_SUCCESS);
1508: }

1510: /*@
1511:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1512:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1514:   Not Collective

1516:   Input Parameter:
1517: . snes - `SNES` context

1519:   Output Parameter:
1520: . maxFails - maximum of unsuccessful steps

1522:   Level: intermediate

1524: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1525:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1526: @*/
1527: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1528: {
1529:   PetscFunctionBegin;
1531:   PetscAssertPointer(maxFails, 2);
1532:   *maxFails = snes->maxFailures;
1533:   PetscFunctionReturn(PETSC_SUCCESS);
1534: }

1536: /*@
1537:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1538:   done by the `SNES` object in the current or most recent `SNESSolve()`

1540:   Not Collective

1542:   Input Parameter:
1543: . snes - `SNES` context

1545:   Output Parameter:
1546: . nfuncs - number of evaluations

1548:   Level: intermediate

1550:   Note:
1551:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1553: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1554: @*/
1555: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1556: {
1557:   PetscFunctionBegin;
1559:   PetscAssertPointer(nfuncs, 2);
1560:   *nfuncs = snes->nfuncs;
1561:   PetscFunctionReturn(PETSC_SUCCESS);
1562: }

1564: /*@
1565:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1566:   linear solvers in the current or most recent `SNESSolve()`

1568:   Not Collective

1570:   Input Parameter:
1571: . snes - `SNES` context

1573:   Output Parameter:
1574: . nfails - number of failed solves

1576:   Options Database Key:
1577: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1579:   Level: intermediate

1581:   Note:
1582:   This counter is reset to zero for each successive call to `SNESSolve()`.

1584: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1585: @*/
1586: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1587: {
1588:   PetscFunctionBegin;
1590:   PetscAssertPointer(nfails, 2);
1591:   *nfails = snes->numLinearSolveFailures;
1592:   PetscFunctionReturn(PETSC_SUCCESS);
1593: }

1595: /*@
1596:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1597:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1599:   Logically Collective

1601:   Input Parameters:
1602: + snes     - `SNES` context
1603: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1605:   Options Database Key:
1606: . -snes_max_linear_solve_fail num - The number of failures before the solve is terminated

1608:   Level: intermediate

1610:   Note:
1611:   By default this is 0; that is `SNES` returns on the first failed linear solve

1613:   Developer Note:
1614:   The options database key is wrong for this function name

1616: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1617: @*/
1618: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1619: {
1620:   PetscFunctionBegin;

1624:   if (maxFails == PETSC_UNLIMITED) {
1625:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1626:   } else {
1627:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1628:     snes->maxLinearSolveFailures = maxFails;
1629:   }
1630:   PetscFunctionReturn(PETSC_SUCCESS);
1631: }

1633: /*@
1634:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1635:   are allowed before `SNES` returns as unsuccessful

1637:   Not Collective

1639:   Input Parameter:
1640: . snes - `SNES` context

1642:   Output Parameter:
1643: . maxFails - maximum of unsuccessful solves allowed

1645:   Level: intermediate

1647:   Note:
1648:   By default this is 1; that is `SNES` returns on the first failed linear solve

1650: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1651: @*/
1652: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1653: {
1654:   PetscFunctionBegin;
1656:   PetscAssertPointer(maxFails, 2);
1657:   *maxFails = snes->maxLinearSolveFailures;
1658:   PetscFunctionReturn(PETSC_SUCCESS);
1659: }

1661: /*@
1662:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1663:   used by the nonlinear solver in the most recent `SNESSolve()`

1665:   Not Collective

1667:   Input Parameter:
1668: . snes - `SNES` context

1670:   Output Parameter:
1671: . lits - number of linear iterations

1673:   Level: intermediate

1675:   Notes:
1676:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1678:   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
1679:   then call `KSPGetIterationNumber()` after the failed solve.

1681: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1682: @*/
1683: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1684: {
1685:   PetscFunctionBegin;
1687:   PetscAssertPointer(lits, 2);
1688:   *lits = snes->linear_its;
1689:   PetscFunctionReturn(PETSC_SUCCESS);
1690: }

1692: /*@
1693:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1694:   are reset every time `SNESSolve()` is called.

1696:   Logically Collective

1698:   Input Parameters:
1699: + snes  - `SNES` context
1700: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1702:   Level: developer

1704: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1705: @*/
1706: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1707: {
1708:   PetscFunctionBegin;
1711:   snes->counters_reset = reset;
1712:   PetscFunctionReturn(PETSC_SUCCESS);
1713: }

1715: /*@
1716:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1718:   Logically Collective

1720:   Input Parameters:
1721: . snes - `SNES` context

1723:   Level: developer

1725:   Note:
1726:   It honors the flag set with `SNESSetCountersReset()`

1728: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1729: @*/
1730: PetscErrorCode SNESResetCounters(SNES snes)
1731: {
1732:   PetscFunctionBegin;
1734:   if (snes->counters_reset) {
1735:     snes->nfuncs      = 0;
1736:     snes->linear_its  = 0;
1737:     snes->numFailures = 0;
1738:   }
1739:   PetscFunctionReturn(PETSC_SUCCESS);
1740: }

1742: /*@
1743:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1745:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1747:   Input Parameters:
1748: + snes - the `SNES` context
1749: - ksp  - the `KSP` context

1751:   Level: developer

1753:   Notes:
1754:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1755:   so this routine is rarely needed.

1757:   The `KSP` object that is already in the `SNES` object has its reference count
1758:   decreased by one when this is called.

1760: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1761: @*/
1762: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1763: {
1764:   PetscFunctionBegin;
1767:   PetscCheckSameComm(snes, 1, ksp, 2);
1768:   PetscCall(PetscObjectReference((PetscObject)ksp));
1769:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1770:   snes->ksp = ksp;
1771:   PetscFunctionReturn(PETSC_SUCCESS);
1772: }

1774: /*@
1775:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1776:   currently contain default values

1778:   Collective

1780:   Input Parameter:
1781: . snes - the `SNES` object

1783:   Level: developer

1785:   Developer Note:
1786:   This is called by all the `SNESCreate_XXX()` routines.

1788: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1789:           `PetscObjectParameterSetDefault()`
1790: @*/
1791: PetscErrorCode SNESParametersInitialize(SNES snes)
1792: {
1793:   PetscObjectParameterSetDefault(snes, max_its, 50);
1794:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1795:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1796:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1797:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1798:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1799:   return PETSC_SUCCESS;
1800: }

1802: /*@
1803:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1805:   Collective

1807:   Input Parameter:
1808: . comm - MPI communicator

1810:   Output Parameter:
1811: . outsnes - the new `SNES` context

1813:   Options Database Keys:
1814: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1815: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1816: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1817: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1819:   Level: beginner

1821:   Developer Notes:
1822:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1823:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1824:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1825:   in `SNESView()`.

1827:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1828:   by help messages about meaningless `SNES` options.

1830:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1832: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1833: @*/
1834: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1835: {
1836:   SNES       snes;
1837:   SNESKSPEW *kctx;

1839:   PetscFunctionBegin;
1840:   PetscAssertPointer(outsnes, 2);
1841:   PetscCall(SNESInitializePackage());

1843:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1844:   snes->ops->converged = SNESConvergedDefault;
1845:   snes->usesksp        = PETSC_TRUE;
1846:   snes->norm           = 0.0;
1847:   snes->xnorm          = 0.0;
1848:   snes->ynorm          = 0.0;
1849:   snes->normschedule   = SNES_NORM_ALWAYS;
1850:   snes->functype       = SNES_FUNCTION_DEFAULT;
1851:   snes->ttol           = 0.0;

1853:   snes->rnorm0               = 0;
1854:   snes->nfuncs               = 0;
1855:   snes->numFailures          = 0;
1856:   snes->maxFailures          = 1;
1857:   snes->linear_its           = 0;
1858:   snes->lagjacobian          = 1;
1859:   snes->jac_iter             = 0;
1860:   snes->lagjac_persist       = PETSC_FALSE;
1861:   snes->lagpreconditioner    = 1;
1862:   snes->pre_iter             = 0;
1863:   snes->lagpre_persist       = PETSC_FALSE;
1864:   snes->numbermonitors       = 0;
1865:   snes->numberreasonviews    = 0;
1866:   snes->data                 = NULL;
1867:   snes->setupcalled          = PETSC_FALSE;
1868:   snes->ksp_ewconv           = PETSC_FALSE;
1869:   snes->nwork                = 0;
1870:   snes->work                 = NULL;
1871:   snes->nvwork               = 0;
1872:   snes->vwork                = NULL;
1873:   snes->conv_hist_len        = 0;
1874:   snes->conv_hist_max        = 0;
1875:   snes->conv_hist            = NULL;
1876:   snes->conv_hist_its        = NULL;
1877:   snes->conv_hist_reset      = PETSC_TRUE;
1878:   snes->counters_reset       = PETSC_TRUE;
1879:   snes->vec_func_init_set    = PETSC_FALSE;
1880:   snes->reason               = SNES_CONVERGED_ITERATING;
1881:   snes->npcside              = PC_RIGHT;
1882:   snes->setfromoptionscalled = 0;

1884:   snes->mf          = PETSC_FALSE;
1885:   snes->mf_operator = PETSC_FALSE;
1886:   snes->mf_version  = 1;

1888:   snes->numLinearSolveFailures = 0;
1889:   snes->maxLinearSolveFailures = 1;

1891:   snes->vizerotolerance     = 1.e-8;
1892:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1894:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1895:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1897:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1898:   PetscCall(PetscNew(&kctx));

1900:   snes->kspconvctx  = kctx;
1901:   kctx->version     = 2;
1902:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1903:                              this was too large for some test cases */
1904:   kctx->rtol_last   = 0.0;
1905:   kctx->rtol_max    = 0.9;
1906:   kctx->gamma       = 1.0;
1907:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1908:   kctx->alpha2      = kctx->alpha;
1909:   kctx->threshold   = 0.1;
1910:   kctx->lresid_last = 0.0;
1911:   kctx->norm_last   = 0.0;

1913:   kctx->rk_last     = 0.0;
1914:   kctx->rk_last_2   = 0.0;
1915:   kctx->rtol_last_2 = 0.0;
1916:   kctx->v4_p1       = 0.1;
1917:   kctx->v4_p2       = 0.4;
1918:   kctx->v4_p3       = 0.7;
1919:   kctx->v4_m1       = 0.8;
1920:   kctx->v4_m2       = 0.5;
1921:   kctx->v4_m3       = 0.1;
1922:   kctx->v4_m4       = 0.5;

1924:   PetscCall(SNESParametersInitialize(snes));
1925:   *outsnes = snes;
1926:   PetscFunctionReturn(PETSC_SUCCESS);
1927: }

1929: /*@C
1930:   SNESSetFunction - Sets the function evaluation routine and function
1931:   vector for use by the `SNES` routines in solving systems of nonlinear
1932:   equations.

1934:   Logically Collective

1936:   Input Parameters:
1937: + snes - the `SNES` context
1938: . r    - vector to store function values, may be `NULL`
1939: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1940: - ctx  - [optional] user-defined context for private data for the
1941:          function evaluation routine (may be `NULL`)

1943:   Level: beginner

1945: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1946: @*/
1947: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1948: {
1949:   DM dm;

1951:   PetscFunctionBegin;
1953:   if (r) {
1955:     PetscCheckSameComm(snes, 1, r, 2);
1956:     PetscCall(PetscObjectReference((PetscObject)r));
1957:     PetscCall(VecDestroy(&snes->vec_func));
1958:     snes->vec_func = r;
1959:   }
1960:   PetscCall(SNESGetDM(snes, &dm));
1961:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1962:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1963:   PetscFunctionReturn(PETSC_SUCCESS);
1964: }

1966: /*@C
1967:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1969:   Logically Collective

1971:   Input Parameters:
1972: + snes - the `SNES` context
1973: - f    - vector to store function value

1975:   Level: developer

1977:   Notes:
1978:   This should not be modified during the solution procedure.

1980:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1982: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1983: @*/
1984: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1985: {
1986:   Vec vec_func;

1988:   PetscFunctionBegin;
1991:   PetscCheckSameComm(snes, 1, f, 2);
1992:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1993:     snes->vec_func_init_set = PETSC_FALSE;
1994:     PetscFunctionReturn(PETSC_SUCCESS);
1995:   }
1996:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
1997:   PetscCall(VecCopy(f, vec_func));

1999:   snes->vec_func_init_set = PETSC_TRUE;
2000:   PetscFunctionReturn(PETSC_SUCCESS);
2001: }

2003: /*@
2004:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2005:   of the `SNES` method, when norms are computed in the solving process

2007:   Logically Collective

2009:   Input Parameters:
2010: + snes         - the `SNES` context
2011: - normschedule - the frequency of norm computation

2013:   Options Database Key:
2014: . -snes_norm_schedule (none|always|initialonly|finalonly|initialfinalonly) - set the schedule

2016:   Level: advanced

2018:   Notes:
2019:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2020:   of the nonlinear function and the taking of its norm at every iteration to
2021:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2022:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2023:   may either be monitored for convergence or not.  As these are often used as nonlinear
2024:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2025:   their solution.

2027: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2028: @*/
2029: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2030: {
2031:   PetscFunctionBegin;
2033:   snes->normschedule = normschedule;
2034:   PetscFunctionReturn(PETSC_SUCCESS);
2035: }

2037: /*@
2038:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2039:   of the `SNES` method.

2041:   Logically Collective

2043:   Input Parameters:
2044: + snes         - the `SNES` context
2045: - normschedule - the type of the norm used

2047:   Level: advanced

2049: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2050: @*/
2051: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2052: {
2053:   PetscFunctionBegin;
2055:   *normschedule = snes->normschedule;
2056:   PetscFunctionReturn(PETSC_SUCCESS);
2057: }

2059: /*@
2060:   SNESSetFunctionNorm - Sets the last computed residual norm.

2062:   Logically Collective

2064:   Input Parameters:
2065: + snes - the `SNES` context
2066: - norm - the value of the norm

2068:   Level: developer

2070: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2071: @*/
2072: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2073: {
2074:   PetscFunctionBegin;
2076:   snes->norm = norm;
2077:   PetscFunctionReturn(PETSC_SUCCESS);
2078: }

2080: /*@
2081:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2083:   Not Collective

2085:   Input Parameter:
2086: . snes - the `SNES` context

2088:   Output Parameter:
2089: . norm - the last computed residual norm

2091:   Level: developer

2093: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2094: @*/
2095: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2096: {
2097:   PetscFunctionBegin;
2099:   PetscAssertPointer(norm, 2);
2100:   *norm = snes->norm;
2101:   PetscFunctionReturn(PETSC_SUCCESS);
2102: }

2104: /*@
2105:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2107:   Not Collective

2109:   Input Parameter:
2110: . snes - the `SNES` context

2112:   Output Parameter:
2113: . ynorm - the last computed update norm

2115:   Level: developer

2117:   Note:
2118:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2120: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2121: @*/
2122: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2123: {
2124:   PetscFunctionBegin;
2126:   PetscAssertPointer(ynorm, 2);
2127:   *ynorm = snes->ynorm;
2128:   PetscFunctionReturn(PETSC_SUCCESS);
2129: }

2131: /*@
2132:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2134:   Not Collective

2136:   Input Parameter:
2137: . snes - the `SNES` context

2139:   Output Parameter:
2140: . xnorm - the last computed solution norm

2142:   Level: developer

2144: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2145: @*/
2146: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2147: {
2148:   PetscFunctionBegin;
2150:   PetscAssertPointer(xnorm, 2);
2151:   *xnorm = snes->xnorm;
2152:   PetscFunctionReturn(PETSC_SUCCESS);
2153: }

2155: /*@
2156:   SNESSetFunctionType - Sets the `SNESFunctionType`
2157:   of the `SNES` method.

2159:   Logically Collective

2161:   Input Parameters:
2162: + snes - the `SNES` context
2163: - type - the function type

2165:   Level: developer

2167:   Values of the function type\:
2168: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2169: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2170: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2172:   Note:
2173:   Different `SNESType`s use this value in different ways

2175: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2176: @*/
2177: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2178: {
2179:   PetscFunctionBegin;
2181:   snes->functype = type;
2182:   PetscFunctionReturn(PETSC_SUCCESS);
2183: }

2185: /*@
2186:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2187:   of the SNES method.

2189:   Logically Collective

2191:   Input Parameters:
2192: + snes - the `SNES` context
2193: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2195:   Level: advanced

2197: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2198: @*/
2199: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2200: {
2201:   PetscFunctionBegin;
2203:   *type = snes->functype;
2204:   PetscFunctionReturn(PETSC_SUCCESS);
2205: }

2207: /*@C
2208:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2209:   use with composed nonlinear solvers.

2211:   Input Parameters:
2212: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2213: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2214: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2216:   Level: intermediate

2218:   Note:
2219:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2220:   a problem appropriate update to the solution, particularly `SNESFAS`.

2222: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2223: @*/
2224: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2225: {
2226:   DM dm;

2228:   PetscFunctionBegin;
2230:   PetscCall(SNESGetDM(snes, &dm));
2231:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2232:   PetscFunctionReturn(PETSC_SUCCESS);
2233: }

2235: /*
2236:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2237:    changed during the KSPSolve()
2238: */
2239: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2240: {
2241:   DM     dm;
2242:   DMSNES sdm;

2244:   PetscFunctionBegin;
2245:   PetscCall(SNESGetDM(snes, &dm));
2246:   PetscCall(DMGetDMSNES(dm, &sdm));
2247:   /*  A(x)*x - b(x) */
2248:   if (sdm->ops->computepfunction) {
2249:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2250:     PetscCall(VecScale(f, -1.0));
2251:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2252:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2253:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2254:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2255:   } else {
2256:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2257:     PetscCall(MatMult(snes->picard, x, f));
2258:   }
2259:   PetscFunctionReturn(PETSC_SUCCESS);
2260: }

2262: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2263: {
2264:   DM     dm;
2265:   DMSNES sdm;

2267:   PetscFunctionBegin;
2268:   PetscCall(SNESGetDM(snes, &dm));
2269:   PetscCall(DMGetDMSNES(dm, &sdm));
2270:   /*  A(x)*x - b(x) */
2271:   if (sdm->ops->computepfunction) {
2272:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2273:     PetscCall(VecScale(f, -1.0));
2274:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2275:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2276:   } else {
2277:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2278:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2279:   }
2280:   PetscFunctionReturn(PETSC_SUCCESS);
2281: }

2283: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2284: {
2285:   PetscFunctionBegin;
2286:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2287:   /* must assembly if matrix-free to get the last SNES solution */
2288:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2289:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2290:   PetscFunctionReturn(PETSC_SUCCESS);
2291: }

2293: /*@C
2294:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2296:   Logically Collective

2298:   Input Parameters:
2299: + snes - the `SNES` context
2300: . r    - vector to store function values, may be `NULL`
2301: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2302: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2303: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2304: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2305: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2307:   Level: intermediate

2309:   Notes:
2310:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2311:   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.

2313:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2315:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2316:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2318:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2320:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2321:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2323:   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
2324:   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
2325:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2327:   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
2328:   $A(x^{n})$ is used to build the preconditioner

2330:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2332:   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
2333:   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
2334:   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`.
2335:   See the comment in src/snes/tutorials/ex15.c.

2337: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2338:           `SNESFunctionFn`, `SNESJacobianFn`
2339: @*/
2340: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2341: {
2342:   DM dm;

2344:   PetscFunctionBegin;
2346:   PetscCall(SNESGetDM(snes, &dm));
2347:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2348:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2349:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2350:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2351:   PetscFunctionReturn(PETSC_SUCCESS);
2352: }

2354: /*@C
2355:   SNESGetPicard - Returns the context for the Picard iteration

2357:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2359:   Input Parameter:
2360: . snes - the `SNES` context

2362:   Output Parameters:
2363: + r    - the function (or `NULL`)
2364: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2365: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2366: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2367: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2368: - ctx  - the function context (or `NULL`)

2370:   Level: advanced

2372: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2373: @*/
2374: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2375: {
2376:   DM dm;

2378:   PetscFunctionBegin;
2380:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2381:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2382:   PetscCall(SNESGetDM(snes, &dm));
2383:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2384:   PetscFunctionReturn(PETSC_SUCCESS);
2385: }

2387: /*@C
2388:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2390:   Logically Collective

2392:   Input Parameters:
2393: + snes - the `SNES` context
2394: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2395: - ctx  - [optional] user-defined context for private data for the
2396:          function evaluation routine (may be `NULL`)

2398:   Level: intermediate

2400: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2401: @*/
2402: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2403: {
2404:   PetscFunctionBegin;
2406:   if (func) snes->ops->computeinitialguess = func;
2407:   if (ctx) snes->initialguessP = ctx;
2408:   PetscFunctionReturn(PETSC_SUCCESS);
2409: }

2411: /*@C
2412:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2413:   it assumes a zero right-hand side.

2415:   Logically Collective

2417:   Input Parameter:
2418: . snes - the `SNES` context

2420:   Output Parameter:
2421: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2423:   Level: intermediate

2425: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2426: @*/
2427: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2428: {
2429:   PetscFunctionBegin;
2431:   PetscAssertPointer(rhs, 2);
2432:   *rhs = snes->vec_rhs;
2433:   PetscFunctionReturn(PETSC_SUCCESS);
2434: }

2436: /*@
2437:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2439:   Collective

2441:   Input Parameters:
2442: + snes - the `SNES` context
2443: - x    - input vector

2445:   Output Parameter:
2446: . f - function vector, as set by `SNESSetFunction()`

2448:   Level: developer

2450:   Notes:
2451:   `SNESComputeFunction()` is typically used within nonlinear solvers
2452:   implementations, so users would not generally call this routine themselves.

2454:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2456:   This function usually appears in the pattern.
2457: .vb
2458:   SNESComputeFunction(snes, x, f);
2459:   VecNorm(f, &fnorm);
2460:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2461: .ve
2462:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2464: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2465: @*/
2466: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2467: {
2468:   DM     dm;
2469:   DMSNES sdm;

2471:   PetscFunctionBegin;
2475:   PetscCheckSameComm(snes, 1, x, 2);
2476:   PetscCheckSameComm(snes, 1, f, 3);
2477:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2479:   PetscCall(SNESGetDM(snes, &dm));
2480:   PetscCall(DMGetDMSNES(dm, &sdm));
2481:   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().");
2482:   if (sdm->ops->computefunction) {
2483:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2484:     PetscCall(VecLockReadPush(x));
2485:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2486:     snes->functiondomainerror = PETSC_FALSE;
2487:     {
2488:       void           *ctx;
2489:       SNESFunctionFn *computefunction;
2490:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2491:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2492:     }
2493:     PetscCall(VecLockReadPop(x));
2494:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2495:   } else /* if (snes->vec_rhs) */ {
2496:     PetscCall(MatMult(snes->jacobian, x, f));
2497:   }
2498:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2499:   snes->nfuncs++;
2500:   /*
2501:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2502:      propagate the value to all processes
2503:   */
2504:   PetscCall(VecFlag(f, snes->functiondomainerror));
2505:   PetscFunctionReturn(PETSC_SUCCESS);
2506: }

2508: /*@
2509:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2511:   Collective

2513:   Input Parameters:
2514: + snes - the `SNES` context
2515: - x    - input vector

2517:   Output Parameter:
2518: . y - output vector

2520:   Level: developer

2522:   Notes:
2523:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2524:   so users would not generally call this routine themselves.

2526:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2527:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2528:   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.

2530: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2531: @*/
2532: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2533: {
2534:   DM     dm;
2535:   DMSNES sdm;

2537:   PetscFunctionBegin;
2541:   PetscCheckSameComm(snes, 1, x, 2);
2542:   PetscCheckSameComm(snes, 1, y, 3);
2543:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2545:   PetscCall(SNESGetDM(snes, &dm));
2546:   PetscCall(DMGetDMSNES(dm, &sdm));
2547:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2548:   PetscCall(VecLockReadPush(x));
2549:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2550:   snes->functiondomainerror = PETSC_FALSE;
2551:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2552:   PetscCall(VecLockReadPop(x));
2553:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2554:   snes->nfuncs++;
2555:   /*
2556:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2557:      propagate the value to all processes
2558:   */
2559:   PetscCall(VecFlag(y, snes->functiondomainerror));
2560:   PetscFunctionReturn(PETSC_SUCCESS);
2561: }

2563: /*@
2564:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2566:   Collective

2568:   Input Parameters:
2569: + snes - the `SNES` context
2570: . x    - input vector
2571: - b    - rhs vector

2573:   Output Parameter:
2574: . x - new solution vector

2576:   Level: developer

2578:   Note:
2579:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2580:   implementations, so most users would not generally call this routine
2581:   themselves.

2583: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2584: @*/
2585: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2586: {
2587:   DM     dm;
2588:   DMSNES sdm;

2590:   PetscFunctionBegin;
2594:   PetscCheckSameComm(snes, 1, x, 3);
2595:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2596:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2597:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2598:   PetscCall(SNESGetDM(snes, &dm));
2599:   PetscCall(DMGetDMSNES(dm, &sdm));
2600:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2601:   if (b) PetscCall(VecLockReadPush(b));
2602:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2603:   if (b) PetscCall(VecLockReadPop(b));
2604:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2605:   PetscFunctionReturn(PETSC_SUCCESS);
2606: }

2608: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2609: {
2610:   Vec          X;
2611:   PetscScalar *g;
2612:   PetscReal    f, f2;
2613:   PetscInt     low, high, N, i;
2614:   PetscBool    flg;
2615:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2617:   PetscFunctionBegin;
2618:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2619:   PetscCall(VecDuplicate(Xin, &X));
2620:   PetscCall(VecCopy(Xin, X));
2621:   PetscCall(VecGetSize(X, &N));
2622:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2623:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2624:   PetscCall(VecGetArray(G, &g));
2625:   for (i = 0; i < N; i++) {
2626:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2627:     PetscCall(VecAssemblyBegin(X));
2628:     PetscCall(VecAssemblyEnd(X));
2629:     PetscCall(SNESComputeObjective(snes, X, &f));
2630:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2631:     PetscCall(VecAssemblyBegin(X));
2632:     PetscCall(VecAssemblyEnd(X));
2633:     PetscCall(SNESComputeObjective(snes, X, &f2));
2634:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2635:     PetscCall(VecAssemblyBegin(X));
2636:     PetscCall(VecAssemblyEnd(X));
2637:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2638:   }
2639:   PetscCall(VecRestoreArray(G, &g));
2640:   PetscCall(VecDestroy(&X));
2641:   PetscFunctionReturn(PETSC_SUCCESS);
2642: }

2644: /*@
2645:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2647:   Collective

2649:   Input Parameter:
2650: . snes - the `SNES` context

2652:   Options Database Keys:
2653: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2654: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2656:   Level: developer

2658: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2659: @*/
2660: PetscErrorCode SNESTestFunction(SNES snes)
2661: {
2662:   Vec               x, g1, g2, g3;
2663:   PetscBool         complete_print = PETSC_FALSE;
2664:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2665:   PetscScalar       dot;
2666:   MPI_Comm          comm;
2667:   PetscViewer       viewer, mviewer;
2668:   PetscViewerFormat format;
2669:   PetscInt          tabs;
2670:   static PetscBool  directionsprinted = PETSC_FALSE;
2671:   SNESObjectiveFn  *objective;

2673:   PetscFunctionBegin;
2674:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2675:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2677:   PetscObjectOptionsBegin((PetscObject)snes);
2678:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2679:   PetscOptionsEnd();

2681:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2682:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2683:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2684:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2685:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2686:   if (!complete_print && !directionsprinted) {
2687:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2688:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2689:   }
2690:   if (!directionsprinted) {
2691:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2692:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2693:     directionsprinted = PETSC_TRUE;
2694:   }
2695:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2697:   PetscCall(SNESGetSolution(snes, &x));
2698:   PetscCall(VecDuplicate(x, &g1));
2699:   PetscCall(VecDuplicate(x, &g2));
2700:   PetscCall(VecDuplicate(x, &g3));
2701:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() corrrectly */
2702:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2704:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2705:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2706:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2707:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2708:   PetscCall(VecDot(g1, g2, &dot));
2709:   PetscCall(VecCopy(g1, g3));
2710:   PetscCall(VecAXPY(g3, -1.0, g2));
2711:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2712:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2713:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2714:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2715:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2717:   if (complete_print) {
2718:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2719:     PetscCall(VecView(g1, mviewer));
2720:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2721:     PetscCall(VecView(g2, mviewer));
2722:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2723:     PetscCall(VecView(g3, mviewer));
2724:   }
2725:   PetscCall(VecDestroy(&g1));
2726:   PetscCall(VecDestroy(&g2));
2727:   PetscCall(VecDestroy(&g3));

2729:   if (complete_print) {
2730:     PetscCall(PetscViewerPopFormat(mviewer));
2731:     PetscCall(PetscViewerDestroy(&mviewer));
2732:   }
2733:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2734:   PetscFunctionReturn(PETSC_SUCCESS);
2735: }

2737: /*@
2738:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2740:   Collective

2742:   Input Parameter:
2743: . snes - the `SNES` context

2745:   Output Parameters:
2746: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2747: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2749:   Options Database Keys:
2750: + -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.
2751: - -snes_test_jacobian_view        - display the user provided Jacobian, the finite difference Jacobian and the difference

2753:   Level: developer

2755:   Note:
2756:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2758: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2759: @*/
2760: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2761: {
2762:   Mat               A, B, C, D, jacobian;
2763:   Vec               x = snes->vec_sol, f;
2764:   PetscReal         nrm, gnorm;
2765:   PetscReal         threshold = 1.e-5;
2766:   void             *functx;
2767:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2768:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2769:   PetscViewer       viewer, mviewer;
2770:   MPI_Comm          comm;
2771:   PetscInt          tabs;
2772:   static PetscBool  directionsprinted = PETSC_FALSE;
2773:   PetscViewerFormat format;

2775:   PetscFunctionBegin;
2776:   PetscObjectOptionsBegin((PetscObject)snes);
2777:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2778:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2779:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2780:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2781:   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));
2782:   PetscOptionsEnd();

2784:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2785:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2786:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2787:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2788:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2789:   if (!complete_print && !silent && !directionsprinted) {
2790:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2791:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2792:   }
2793:   if (!directionsprinted && !silent) {
2794:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2795:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2796:     directionsprinted = PETSC_TRUE;
2797:   }
2798:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2800:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2801:   if (!flg) jacobian = snes->jacobian;
2802:   else jacobian = snes->jacobian_pre;

2804:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2805:   else PetscCall(PetscObjectReference((PetscObject)x));
2806:   PetscCall(VecDuplicate(x, &f));

2808:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2809:   PetscCall(SNESComputeFunction(snes, x, f));
2810:   PetscCall(VecDestroy(&f));
2811:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2812:   while (jacobian) {
2813:     Mat JT = NULL, Jsave = NULL;

2815:     if (istranspose) {
2816:       PetscCall(MatCreateTranspose(jacobian, &JT));
2817:       Jsave    = jacobian;
2818:       jacobian = JT;
2819:     }
2820:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2821:     if (flg) {
2822:       A = jacobian;
2823:       PetscCall(PetscObjectReference((PetscObject)A));
2824:     } else {
2825:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2826:     }

2828:     PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &B));
2829:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2831:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2832:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2834:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2835:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2836:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2837:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2838:     PetscCall(MatDestroy(&D));
2839:     if (!gnorm) gnorm = 1; /* just in case */
2840:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2841:     if (complete_print) {
2842:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2843:       PetscCall(MatView(A, mviewer));
2844:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2845:       PetscCall(MatView(B, mviewer));
2846:     }

2848:     if (threshold_print || complete_print) {
2849:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2850:       PetscScalar       *cvals;
2851:       const PetscInt    *bcols;
2852:       const PetscScalar *bvals;

2854:       PetscCall(MatDuplicate(A, MAT_DO_NOT_COPY_VALUES, &C));
2855:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2857:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2858:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2860:       for (row = Istart; row < Iend; row++) {
2861:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2862:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2863:         for (j = 0, cncols = 0; j < bncols; j++) {
2864:           if (PetscAbsScalar(bvals[j]) > threshold) {
2865:             ccols[cncols] = bcols[j];
2866:             cvals[cncols] = bvals[j];
2867:             cncols += 1;
2868:           }
2869:         }
2870:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2871:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2872:         PetscCall(PetscFree2(ccols, cvals));
2873:       }
2874:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2875:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2876:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2877:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2878:       PetscCall(MatDestroy(&C));
2879:     }
2880:     PetscCall(MatDestroy(&A));
2881:     PetscCall(MatDestroy(&B));
2882:     PetscCall(MatDestroy(&JT));
2883:     if (Jsave) jacobian = Jsave;
2884:     if (jacobian != snes->jacobian_pre) {
2885:       jacobian = snes->jacobian_pre;
2886:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2887:     } else jacobian = NULL;
2888:   }
2889:   PetscCall(VecDestroy(&x));
2890:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2891:   if (mviewer) PetscCall(PetscViewerDestroy(&mviewer));
2892:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2894:   if (Jnorm) *Jnorm = gnorm;
2895:   if (diffNorm) *diffNorm = nrm;
2896:   PetscFunctionReturn(PETSC_SUCCESS);
2897: }

2899: /*@
2900:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2902:   Collective

2904:   Input Parameters:
2905: + snes - the `SNES` context
2906: - X    - input vector

2908:   Output Parameters:
2909: + A - Jacobian matrix
2910: - B - optional matrix for building the preconditioner, usually the same as `A`

2912:   Options Database Keys:
2913: + -snes_lag_preconditioner lag          - how often to rebuild preconditioner
2914: . -snes_lag_jacobian lag                - how often to rebuild Jacobian
2915: . -snes_test_jacobian [threshold]       - compare the user provided Jacobian with one compute via finite differences to check for errors.
2916:                                           If a threshold is given, display only those entries whose difference is greater than the threshold.
2917: . -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
2918: . -snes_compare_explicit                - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2919: . -snes_compare_explicit_draw           - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2920: . -snes_compare_explicit_contour        - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2921: . -snes_compare_operator                - Make the comparison options above use the operator instead of the matrix used to construct the preconditioner
2922: . -snes_compare_coloring                - Compute the finite difference Jacobian using coloring and display norms of difference
2923: . -snes_compare_coloring_display        - Compute the finite difference Jacobian using coloring and display verbose differences
2924: . -snes_compare_coloring_threshold      - Display only those matrix entries that differ by more than a given threshold
2925: . -snes_compare_coloring_threshold_atol - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2926: . -snes_compare_coloring_threshold_rtol - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2927: . -snes_compare_coloring_draw           - Compute the finite difference Jacobian using coloring and draw differences
2928: - -snes_compare_coloring_draw_contour   - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2930:   Level: developer

2932:   Note:
2933:   Most users should not need to explicitly call this routine, as it
2934:   is used internally within the nonlinear solvers.

2936:   Developer Note:
2937:   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
2938:   with the `SNESType` of test that has been removed.

2940: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
2941:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
2942: @*/
2943: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2944: {
2945:   PetscBool flag;
2946:   DM        dm;
2947:   DMSNES    sdm;
2948:   KSP       ksp;

2950:   PetscFunctionBegin;
2953:   PetscCheckSameComm(snes, 1, X, 2);
2954:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2955:   PetscCall(SNESGetDM(snes, &dm));
2956:   PetscCall(DMGetDMSNES(dm, &sdm));

2958:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2959:   if (snes->lagjacobian == -2) {
2960:     snes->lagjacobian = -1;

2962:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2963:   } else if (snes->lagjacobian == -1) {
2964:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2965:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2966:     if (flag) {
2967:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2968:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2969:     }
2970:     PetscFunctionReturn(PETSC_SUCCESS);
2971:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2972:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2973:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2974:     if (flag) {
2975:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2976:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2977:     }
2978:     PetscFunctionReturn(PETSC_SUCCESS);
2979:   }
2980:   if (snes->npc && snes->npcside == PC_LEFT) {
2981:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2982:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2983:     PetscFunctionReturn(PETSC_SUCCESS);
2984:   }

2986:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2987:   PetscCall(VecLockReadPush(X));
2988:   {
2989:     void           *ctx;
2990:     SNESJacobianFn *J;
2991:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
2992:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
2993:   }
2994:   PetscCall(VecLockReadPop(X));
2995:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

2997:   /* attach latest linearization point to the matrix used to construct the preconditioner */
2998:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3000:   /* the next line ensures that snes->ksp exists */
3001:   PetscCall(SNESGetKSP(snes, &ksp));
3002:   if (snes->lagpreconditioner == -2) {
3003:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3004:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3005:     snes->lagpreconditioner = -1;
3006:   } else if (snes->lagpreconditioner == -1) {
3007:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3008:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3009:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3010:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3011:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3012:   } else {
3013:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3014:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3015:   }

3017:   /* monkey business to allow testing Jacobians in multilevel solvers.
3018:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3019:   {
3020:     Vec xsave            = snes->vec_sol;
3021:     Mat jacobiansave     = snes->jacobian;
3022:     Mat jacobian_presave = snes->jacobian_pre;

3024:     snes->vec_sol      = X;
3025:     snes->jacobian     = A;
3026:     snes->jacobian_pre = B;
3027:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3028:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3030:     snes->vec_sol      = xsave;
3031:     snes->jacobian     = jacobiansave;
3032:     snes->jacobian_pre = jacobian_presave;
3033:   }

3035:   {
3036:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3037:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3038:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3039:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3040:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3041:     if (flag || flag_draw || flag_contour) {
3042:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3043:       PetscViewer vdraw, vstdout;
3044:       PetscBool   flg;
3045:       if (flag_operator) {
3046:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3047:         Bexp = Bexp_mine;
3048:       } else {
3049:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3050:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3051:         if (flg) Bexp = B;
3052:         else {
3053:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3054:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3055:           Bexp = Bexp_mine;
3056:         }
3057:       }
3058:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3059:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3060:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3061:       if (flag_draw || flag_contour) {
3062:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3063:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3064:       } else vdraw = NULL;
3065:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3066:       if (flag) PetscCall(MatView(Bexp, vstdout));
3067:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3068:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3069:       if (flag) PetscCall(MatView(FDexp, vstdout));
3070:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3071:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3072:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3073:       if (flag) PetscCall(MatView(FDexp, vstdout));
3074:       if (vdraw) { /* Always use contour for the difference */
3075:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3076:         PetscCall(MatView(FDexp, vdraw));
3077:         PetscCall(PetscViewerPopFormat(vdraw));
3078:       }
3079:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3080:       PetscCall(PetscViewerDestroy(&vdraw));
3081:       PetscCall(MatDestroy(&Bexp_mine));
3082:       PetscCall(MatDestroy(&FDexp));
3083:     }
3084:   }
3085:   {
3086:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3087:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3088:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3089:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3090:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3091:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3092:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3093:     if (flag_threshold) {
3094:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3095:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3096:     }
3097:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3098:       Mat             Bfd;
3099:       PetscViewer     vdraw, vstdout;
3100:       MatColoring     coloring;
3101:       ISColoring      iscoloring;
3102:       MatFDColoring   matfdcoloring;
3103:       SNESFunctionFn *func;
3104:       void           *funcctx;
3105:       PetscReal       norm1, norm2, normmax;

3107:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3108:       PetscCall(MatColoringCreate(Bfd, &coloring));
3109:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3110:       PetscCall(MatColoringSetFromOptions(coloring));
3111:       PetscCall(MatColoringApply(coloring, &iscoloring));
3112:       PetscCall(MatColoringDestroy(&coloring));
3113:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3114:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3115:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3116:       PetscCall(ISColoringDestroy(&iscoloring));

3118:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3119:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3120:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3121:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3122:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3123:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3124:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3125:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3127:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3128:       if (flag_draw || flag_contour) {
3129:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3130:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3131:       } else vdraw = NULL;
3132:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3133:       if (flag_display) PetscCall(MatView(B, vstdout));
3134:       if (vdraw) PetscCall(MatView(B, vdraw));
3135:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3136:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3137:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3138:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3139:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3140:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3141:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3142:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3143:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3144:       if (vdraw) { /* Always use contour for the difference */
3145:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3146:         PetscCall(MatView(Bfd, vdraw));
3147:         PetscCall(PetscViewerPopFormat(vdraw));
3148:       }
3149:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3151:       if (flag_threshold) {
3152:         PetscInt bs, rstart, rend, i;
3153:         PetscCall(MatGetBlockSize(B, &bs));
3154:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3155:         for (i = rstart; i < rend; i++) {
3156:           const PetscScalar *ba, *ca;
3157:           const PetscInt    *bj, *cj;
3158:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3159:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3160:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3161:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3162:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3163:           for (j = 0; j < bn; j++) {
3164:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3165:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3166:               maxentrycol = bj[j];
3167:               maxentry    = PetscRealPart(ba[j]);
3168:             }
3169:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3170:               maxdiffcol = bj[j];
3171:               maxdiff    = PetscRealPart(ca[j]);
3172:             }
3173:             if (rdiff > maxrdiff) {
3174:               maxrdiffcol = bj[j];
3175:               maxrdiff    = rdiff;
3176:             }
3177:           }
3178:           if (maxrdiff > 1) {
3179:             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));
3180:             for (j = 0; j < bn; j++) {
3181:               PetscReal rdiff;
3182:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3183:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3184:             }
3185:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3186:           }
3187:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3188:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3189:         }
3190:       }
3191:       PetscCall(PetscViewerDestroy(&vdraw));
3192:       PetscCall(MatDestroy(&Bfd));
3193:     }
3194:   }
3195:   PetscFunctionReturn(PETSC_SUCCESS);
3196: }

3198: /*@C
3199:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3200:   location to store the matrix.

3202:   Logically Collective

3204:   Input Parameters:
3205: + snes - the `SNES` context
3206: . Amat - the matrix that defines the (approximate) Jacobian
3207: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3208: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3209: - ctx  - [optional] user-defined context for private data for the
3210:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3212:   Level: beginner

3214:   Notes:
3215:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3216:   each matrix.

3218:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3219:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3221:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3222:   must be a `MatFDColoring`.

3224:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3225:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3227: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3228:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3229: @*/
3230: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3231: {
3232:   DM dm;

3234:   PetscFunctionBegin;
3238:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3239:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3240:   PetscCall(SNESGetDM(snes, &dm));
3241:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3242:   if (Amat) {
3243:     PetscCall(PetscObjectReference((PetscObject)Amat));
3244:     PetscCall(MatDestroy(&snes->jacobian));

3246:     snes->jacobian = Amat;
3247:   }
3248:   if (Pmat) {
3249:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3250:     PetscCall(MatDestroy(&snes->jacobian_pre));

3252:     snes->jacobian_pre = Pmat;
3253:   }
3254:   PetscFunctionReturn(PETSC_SUCCESS);
3255: }

3257: /*@C
3258:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3259:   provided context for evaluating the Jacobian.

3261:   Not Collective, but `Mat` object will be parallel if `SNES` is

3263:   Input Parameter:
3264: . snes - the nonlinear solver context

3266:   Output Parameters:
3267: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3268: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3269: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3270: - ctx  - location to stash Jacobian ctx (or `NULL`)

3272:   Level: advanced

3274: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3275: @*/
3276: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3277: {
3278:   DM dm;

3280:   PetscFunctionBegin;
3282:   if (Amat) *Amat = snes->jacobian;
3283:   if (Pmat) *Pmat = snes->jacobian_pre;
3284:   PetscCall(SNESGetDM(snes, &dm));
3285:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3286:   PetscFunctionReturn(PETSC_SUCCESS);
3287: }

3289: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3290: {
3291:   DM     dm;
3292:   DMSNES sdm;

3294:   PetscFunctionBegin;
3295:   PetscCall(SNESGetDM(snes, &dm));
3296:   PetscCall(DMGetDMSNES(dm, &sdm));
3297:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3298:     DM        dm;
3299:     PetscBool isdense, ismf;

3301:     PetscCall(SNESGetDM(snes, &dm));
3302:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3303:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3304:     if (isdense) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3305:     else if (!ismf) PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3306:   }
3307:   PetscFunctionReturn(PETSC_SUCCESS);
3308: }

3310: /*@
3311:   SNESSetUp - Sets up the internal data structures for the later use
3312:   of a nonlinear solver `SNESSolve()`.

3314:   Collective

3316:   Input Parameter:
3317: . snes - the `SNES` context

3319:   Level: advanced

3321:   Note:
3322:   For basic use of the `SNES` solvers the user does not need to explicitly call
3323:   `SNESSetUp()`, since these actions will automatically occur during
3324:   the call to `SNESSolve()`.  However, if one wishes to control this
3325:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3326:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3328: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3329: @*/
3330: PetscErrorCode SNESSetUp(SNES snes)
3331: {
3332:   DM             dm;
3333:   DMSNES         sdm;
3334:   SNESLineSearch linesearch, pclinesearch;
3335:   void          *lsprectx, *lspostctx;
3336:   PetscBool      mf_operator, mf;
3337:   Vec            f, fpc;
3338:   void          *funcctx;
3339:   void          *jacctx, *appctx;
3340:   Mat            j, jpre;
3341:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, PetscCtx);
3342:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, PetscCtx);
3343:   SNESFunctionFn *func;
3344:   SNESJacobianFn *jac;

3346:   PetscFunctionBegin;
3348:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3349:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3351:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3353:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3355:   PetscCall(SNESGetDM(snes, &dm));
3356:   PetscCall(DMGetDMSNES(dm, &sdm));
3357:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3359:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3361:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3363:   if (snes->linesearch) {
3364:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3365:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3366:   }

3368:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3369:   if (snes->npc && snes->npcside == PC_LEFT) {
3370:     snes->mf          = PETSC_TRUE;
3371:     snes->mf_operator = PETSC_FALSE;
3372:   }

3374:   if (snes->npc) {
3375:     /* copy the DM over */
3376:     PetscCall(SNESGetDM(snes, &dm));
3377:     PetscCall(SNESSetDM(snes->npc, dm));

3379:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3380:     PetscCall(VecDuplicate(f, &fpc));
3381:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3382:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3383:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3384:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3385:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3386:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3387:     PetscCall(VecDestroy(&fpc));

3389:     /* copy the function pointers over */
3390:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3392:     /* default to 1 iteration */
3393:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3394:     if (snes->npcside == PC_RIGHT) {
3395:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3396:     } else {
3397:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3398:     }
3399:     PetscCall(SNESSetFromOptions(snes->npc));

3401:     /* copy the line search context over */
3402:     if (snes->linesearch && snes->npc->linesearch) {
3403:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3404:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3405:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3406:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3407:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3408:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3409:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3410:     }
3411:   }
3412:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3413:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));

3415:   snes->jac_iter = 0;
3416:   snes->pre_iter = 0;

3418:   PetscTryTypeMethod(snes, setup);

3420:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3422:   if (snes->npc && snes->npcside == PC_LEFT) {
3423:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3424:       if (snes->linesearch) {
3425:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3426:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3427:       }
3428:     }
3429:   }
3430:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3431:   snes->setupcalled = PETSC_TRUE;
3432:   PetscFunctionReturn(PETSC_SUCCESS);
3433: }

3435: /*@
3436:   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

3438:   Collective

3440:   Input Parameter:
3441: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3443:   Level: intermediate

3445:   Notes:
3446:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3448:   Call this if you wish to reuse a `SNES` but with different size vectors

3450:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3452: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3453: @*/
3454: PetscErrorCode SNESReset(SNES snes)
3455: {
3456:   PetscFunctionBegin;
3458:   if (snes->ops->ctxdestroy && snes->ctx) {
3459:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3460:     snes->ctx = NULL;
3461:   }
3462:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3464:   PetscTryTypeMethod(snes, reset);
3465:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3467:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3469:   PetscCall(VecDestroy(&snes->vec_rhs));
3470:   PetscCall(VecDestroy(&snes->vec_sol));
3471:   PetscCall(VecDestroy(&snes->vec_sol_update));
3472:   PetscCall(VecDestroy(&snes->vec_func));
3473:   PetscCall(MatDestroy(&snes->jacobian));
3474:   PetscCall(MatDestroy(&snes->jacobian_pre));
3475:   PetscCall(MatDestroy(&snes->picard));
3476:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3477:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3479:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3481:   snes->nwork = snes->nvwork = 0;
3482:   snes->setupcalled          = PETSC_FALSE;
3483:   PetscFunctionReturn(PETSC_SUCCESS);
3484: }

3486: /*@
3487:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3488:   removes the default viewer.

3490:   Collective

3492:   Input Parameter:
3493: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3495:   Level: intermediate

3497: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3498: @*/
3499: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3500: {
3501:   PetscInt i;

3503:   PetscFunctionBegin;
3505:   for (i = 0; i < snes->numberreasonviews; i++) {
3506:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3507:   }
3508:   snes->numberreasonviews = 0;
3509:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3510:   PetscFunctionReturn(PETSC_SUCCESS);
3511: }

3513: /*@
3514:   SNESDestroy - Destroys the nonlinear solver context that was created
3515:   with `SNESCreate()`.

3517:   Collective

3519:   Input Parameter:
3520: . snes - the `SNES` context

3522:   Level: beginner

3524: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3525: @*/
3526: PetscErrorCode SNESDestroy(SNES *snes)
3527: {
3528:   DM dm;

3530:   PetscFunctionBegin;
3531:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3533:   if (--((PetscObject)*snes)->refct > 0) {
3534:     *snes = NULL;
3535:     PetscFunctionReturn(PETSC_SUCCESS);
3536:   }

3538:   PetscCall(SNESReset(*snes));
3539:   PetscCall(SNESDestroy(&(*snes)->npc));

3541:   /* if memory was published with SAWs then destroy it */
3542:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3543:   PetscTryTypeMethod(*snes, destroy);

3545:   dm = (*snes)->dm;
3546:   while (dm) {
3547:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3548:     PetscCall(DMGetCoarseDM(dm, &dm));
3549:   }

3551:   PetscCall(DMDestroy(&(*snes)->dm));
3552:   PetscCall(KSPDestroy(&(*snes)->ksp));
3553:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3555:   PetscCall(PetscFree((*snes)->kspconvctx));
3556:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3557:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3558:   PetscCall(SNESMonitorCancel(*snes));
3559:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3560:   PetscCall(PetscHeaderDestroy(snes));
3561:   PetscFunctionReturn(PETSC_SUCCESS);
3562: }

3564: /* ----------- Routines to set solver parameters ---------- */

3566: /*@
3567:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3569:   Logically Collective

3571:   Input Parameters:
3572: + snes - the `SNES` context
3573: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3574:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3576:   Options Database Keys:
3577: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple `SNESSolve()`
3578: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3579: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple `SNESSolve()`
3580: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3582:   Level: intermediate

3584:   Notes:
3585:   The default is 1

3587:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3589:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3591: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3592:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3593: @*/
3594: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3595: {
3596:   PetscFunctionBegin;
3598:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3599:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3601:   snes->lagpreconditioner = lag;
3602:   PetscFunctionReturn(PETSC_SUCCESS);
3603: }

3605: /*@
3606:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3608:   Logically Collective

3610:   Input Parameters:
3611: + snes  - the `SNES` context
3612: - steps - the number of refinements to do, defaults to 0

3614:   Options Database Key:
3615: . -snes_grid_sequence steps - Use grid sequencing to generate initial guess

3617:   Level: intermediate

3619:   Notes:
3620:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3622:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3624: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3625:           `SNESSetDM()`, `SNESSolve()`
3626: @*/
3627: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3628: {
3629:   PetscFunctionBegin;
3632:   snes->gridsequence = steps;
3633:   PetscFunctionReturn(PETSC_SUCCESS);
3634: }

3636: /*@
3637:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3639:   Logically Collective

3641:   Input Parameter:
3642: . snes - the `SNES` context

3644:   Output Parameter:
3645: . steps - the number of refinements to do, defaults to 0

3647:   Level: intermediate

3649: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3650: @*/
3651: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3652: {
3653:   PetscFunctionBegin;
3655:   *steps = snes->gridsequence;
3656:   PetscFunctionReturn(PETSC_SUCCESS);
3657: }

3659: /*@
3660:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3662:   Not Collective

3664:   Input Parameter:
3665: . snes - the `SNES` context

3667:   Output Parameter:
3668: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3669:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3671:   Level: intermediate

3673:   Notes:
3674:   The default is 1

3676:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3678: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3679: @*/
3680: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3681: {
3682:   PetscFunctionBegin;
3684:   *lag = snes->lagpreconditioner;
3685:   PetscFunctionReturn(PETSC_SUCCESS);
3686: }

3688: /*@
3689:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3690:   often the preconditioner is rebuilt.

3692:   Logically Collective

3694:   Input Parameters:
3695: + snes - the `SNES` context
3696: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3697:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3699:   Options Database Keys:
3700: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3701: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3702: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3703: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag.

3705:   Level: intermediate

3707:   Notes:
3708:   The default is 1

3710:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3712:   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
3713:   at the next Newton step but never again (unless it is reset to another value)

3715: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3716: @*/
3717: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3718: {
3719:   PetscFunctionBegin;
3721:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3722:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3724:   snes->lagjacobian = lag;
3725:   PetscFunctionReturn(PETSC_SUCCESS);
3726: }

3728: /*@
3729:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3731:   Not Collective

3733:   Input Parameter:
3734: . snes - the `SNES` context

3736:   Output Parameter:
3737: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3738:          the Jacobian is built etc.

3740:   Level: intermediate

3742:   Notes:
3743:   The default is 1

3745:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3747: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3748: @*/
3749: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3750: {
3751:   PetscFunctionBegin;
3753:   *lag = snes->lagjacobian;
3754:   PetscFunctionReturn(PETSC_SUCCESS);
3755: }

3757: /*@
3758:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3760:   Logically collective

3762:   Input Parameters:
3763: + snes - the `SNES` context
3764: - flg  - jacobian lagging persists if true

3766:   Options Database Keys:
3767: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3768: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3769: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3770: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3772:   Level: advanced

3774:   Notes:
3775:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3777:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3778:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3779:   timesteps may present huge efficiency gains.

3781: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3782: @*/
3783: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3784: {
3785:   PetscFunctionBegin;
3788:   snes->lagjac_persist = flg;
3789:   PetscFunctionReturn(PETSC_SUCCESS);
3790: }

3792: /*@
3793:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3795:   Logically Collective

3797:   Input Parameters:
3798: + snes - the `SNES` context
3799: - flg  - preconditioner lagging persists if true

3801:   Options Database Keys:
3802: + -snes_lag_jacobian_persists (true|false)       - sets the persistence through multiple SNES solves
3803: . -snes_lag_jacobian (-2|1|2|...)                - sets the lag
3804: . -snes_lag_preconditioner_persists (true|false) - sets the persistence through multiple SNES solves
3805: - -snes_lag_preconditioner (-2|1|2|...)          - sets the lag

3807:   Level: developer

3809:   Notes:
3810:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3812:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3813:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3814:   several timesteps may present huge efficiency gains.

3816: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3817: @*/
3818: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3819: {
3820:   PetscFunctionBegin;
3823:   snes->lagpre_persist = flg;
3824:   PetscFunctionReturn(PETSC_SUCCESS);
3825: }

3827: /*@
3828:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3830:   Logically Collective

3832:   Input Parameters:
3833: + snes  - the `SNES` context
3834: - force - `PETSC_TRUE` require at least one iteration

3836:   Options Database Key:
3837: . -snes_force_iteration force - Sets forcing an iteration

3839:   Level: intermediate

3841:   Note:
3842:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3844: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3845: @*/
3846: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3847: {
3848:   PetscFunctionBegin;
3850:   snes->forceiteration = force;
3851:   PetscFunctionReturn(PETSC_SUCCESS);
3852: }

3854: /*@
3855:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3857:   Logically Collective

3859:   Input Parameter:
3860: . snes - the `SNES` context

3862:   Output Parameter:
3863: . force - `PETSC_TRUE` requires at least one iteration.

3865:   Level: intermediate

3867: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3868: @*/
3869: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3870: {
3871:   PetscFunctionBegin;
3873:   *force = snes->forceiteration;
3874:   PetscFunctionReturn(PETSC_SUCCESS);
3875: }

3877: /*@
3878:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

3880:   Logically Collective

3882:   Input Parameters:
3883: + snes   - the `SNES` context
3884: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
3885: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
3886: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3887: . maxit  - the maximum number of iterations allowed in the solver, default 50.
3888: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

3890:   Options Database Keys:
3891: + -snes_atol abstol    - Sets `abstol`
3892: . -snes_rtol rtol      - Sets `rtol`
3893: . -snes_stol stol      - Sets `stol`
3894: . -snes_max_it maxit   - Sets `maxit`
3895: - -snes_max_funcs maxf - Sets `maxf` (use `unlimited` to have no maximum)

3897:   Level: intermediate

3899:   Note:
3900:   All parameters must be non-negative

3902:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
3903:   The default value is the value in the object when its type is set.

3905:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

3907:   Fortran Note:
3908:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

3910: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3911: @*/
3912: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3913: {
3914:   PetscFunctionBegin;

3922:   if (abstol == (PetscReal)PETSC_DETERMINE) {
3923:     snes->abstol = snes->default_abstol;
3924:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
3925:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3926:     snes->abstol = abstol;
3927:   }

3929:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3930:     snes->rtol = snes->default_rtol;
3931:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3932:     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);
3933:     snes->rtol = rtol;
3934:   }

3936:   if (stol == (PetscReal)PETSC_DETERMINE) {
3937:     snes->stol = snes->default_stol;
3938:   } else if (stol != (PetscReal)PETSC_CURRENT) {
3939:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3940:     snes->stol = stol;
3941:   }

3943:   if (maxit == PETSC_DETERMINE) {
3944:     snes->max_its = snes->default_max_its;
3945:   } else if (maxit == PETSC_UNLIMITED) {
3946:     snes->max_its = PETSC_INT_MAX;
3947:   } else if (maxit != PETSC_CURRENT) {
3948:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3949:     snes->max_its = maxit;
3950:   }

3952:   if (maxf == PETSC_DETERMINE) {
3953:     snes->max_funcs = snes->default_max_funcs;
3954:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
3955:     snes->max_funcs = PETSC_UNLIMITED;
3956:   } else if (maxf != PETSC_CURRENT) {
3957:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
3958:     snes->max_funcs = maxf;
3959:   }
3960:   PetscFunctionReturn(PETSC_SUCCESS);
3961: }

3963: /*@
3964:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3966:   Logically Collective

3968:   Input Parameters:
3969: + snes   - the `SNES` context
3970: - 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
3971:            is stopped due to divergence.

3973:   Options Database Key:
3974: . -snes_divergence_tolerance divtol - Sets `divtol`

3976:   Level: intermediate

3978:   Notes:
3979:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

3981:   Fortran Note:
3982:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

3984: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
3985: @*/
3986: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
3987: {
3988:   PetscFunctionBegin;

3992:   if (divtol == (PetscReal)PETSC_DETERMINE) {
3993:     snes->divtol = snes->default_divtol;
3994:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
3995:     snes->divtol = PETSC_UNLIMITED;
3996:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
3997:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
3998:     snes->divtol = divtol;
3999:   }
4000:   PetscFunctionReturn(PETSC_SUCCESS);
4001: }

4003: /*@
4004:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4006:   Not Collective

4008:   Input Parameter:
4009: . snes - the `SNES` context

4011:   Output Parameters:
4012: + atol  - the absolute convergence tolerance
4013: . rtol  - the relative convergence tolerance
4014: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4015: . maxit - the maximum number of iterations allowed
4016: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4018:   Level: intermediate

4020:   Notes:
4021:   See `SNESSetTolerances()` for details on the parameters.

4023:   The user can specify `NULL` for any parameter that is not needed.

4025: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4026: @*/
4027: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4028: {
4029:   PetscFunctionBegin;
4031:   if (atol) *atol = snes->abstol;
4032:   if (rtol) *rtol = snes->rtol;
4033:   if (stol) *stol = snes->stol;
4034:   if (maxit) *maxit = snes->max_its;
4035:   if (maxf) *maxf = snes->max_funcs;
4036:   PetscFunctionReturn(PETSC_SUCCESS);
4037: }

4039: /*@
4040:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4042:   Not Collective

4044:   Input Parameters:
4045: + snes   - the `SNES` context
4046: - divtol - divergence tolerance

4048:   Level: intermediate

4050: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4051: @*/
4052: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4053: {
4054:   PetscFunctionBegin;
4056:   if (divtol) *divtol = snes->divtol;
4057:   PetscFunctionReturn(PETSC_SUCCESS);
4058: }

4060: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4062: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, PetscCtx monctx)
4063: {
4064:   PetscDrawLG      lg;
4065:   PetscReal        x, y, per;
4066:   PetscViewer      v = (PetscViewer)monctx;
4067:   static PetscReal prev; /* should be in the context */
4068:   PetscDraw        draw;

4070:   PetscFunctionBegin;
4072:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4073:   if (!n) PetscCall(PetscDrawLGReset(lg));
4074:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4075:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4076:   x = (PetscReal)n;
4077:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4078:   else y = -15.0;
4079:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4080:   if (n < 20 || !(n % 5) || snes->reason) {
4081:     PetscCall(PetscDrawLGDraw(lg));
4082:     PetscCall(PetscDrawLGSave(lg));
4083:   }

4085:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4086:   if (!n) PetscCall(PetscDrawLGReset(lg));
4087:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4088:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4089:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4090:   x = (PetscReal)n;
4091:   y = 100.0 * per;
4092:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4093:   if (n < 20 || !(n % 5) || snes->reason) {
4094:     PetscCall(PetscDrawLGDraw(lg));
4095:     PetscCall(PetscDrawLGSave(lg));
4096:   }

4098:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4099:   if (!n) {
4100:     prev = rnorm;
4101:     PetscCall(PetscDrawLGReset(lg));
4102:   }
4103:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4104:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4105:   x = (PetscReal)n;
4106:   y = (prev - rnorm) / prev;
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, 3, &lg));
4114:   if (!n) PetscCall(PetscDrawLGReset(lg));
4115:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4116:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4117:   x = (PetscReal)n;
4118:   y = (prev - rnorm) / (prev * per);
4119:   if (n > 2) { /*skip initial crazy value */
4120:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4121:   }
4122:   if (n < 20 || !(n % 5) || snes->reason) {
4123:     PetscCall(PetscDrawLGDraw(lg));
4124:     PetscCall(PetscDrawLGSave(lg));
4125:   }
4126:   prev = rnorm;
4127:   PetscFunctionReturn(PETSC_SUCCESS);
4128: }

4130: /*@
4131:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4133:   Collective

4135:   Input Parameters:
4136: + snes  - the `SNES` context
4137: . it    - current iteration
4138: . xnorm - 2-norm of current iterate
4139: . snorm - 2-norm of current step
4140: - fnorm - 2-norm of function

4142:   Level: developer

4144:   Note:
4145:   This routine is called by the `SNESSolve()` implementations.
4146:   It does not typically need to be called by the user.

4148: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4149: @*/
4150: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4151: {
4152:   PetscFunctionBegin;
4153:   if (!snes->reason) {
4154:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4155:     if (it == snes->max_its && !snes->reason) {
4156:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4157:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4158:         snes->reason = SNES_DIVERGED_MAX_IT;
4159:       } else snes->reason = SNES_CONVERGED_ITS;
4160:     }
4161:   }
4162:   PetscFunctionReturn(PETSC_SUCCESS);
4163: }

4165: /*@
4166:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4168:   Collective

4170:   Input Parameters:
4171: + snes  - nonlinear solver context obtained from `SNESCreate()`
4172: . iter  - current iteration number
4173: - rnorm - current relative norm of the residual

4175:   Level: developer

4177:   Note:
4178:   This routine is called by the `SNESSolve()` implementations.
4179:   It does not typically need to be called by the user.

4181: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4182: @*/
4183: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4184: {
4185:   PetscInt i, n = snes->numbermonitors;

4187:   PetscFunctionBegin;
4188:   PetscCall(VecLockReadPush(snes->vec_sol));
4189:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4190:   PetscCall(VecLockReadPop(snes->vec_sol));
4191:   PetscFunctionReturn(PETSC_SUCCESS);
4192: }

4194: /* ------------ Routines to set performance monitoring options ----------- */

4196: /*MC
4197:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4199:      Synopsis:
4200: #include <petscsnes.h>
4201:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, PetscCtx mctx)

4203:      Collective

4205:     Input Parameters:
4206: +    snes - the `SNES` context
4207: .    its - iteration number
4208: .    norm - 2-norm function value (may be estimated)
4209: -    mctx - [optional] monitoring context

4211:    Level: advanced

4213: .seealso: [](ch_snes), `SNESMonitorSet()`, `PetscCtx`
4214: M*/

4216: /*@C
4217:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4218:   iteration of the `SNES` nonlinear solver to display the iteration's
4219:   progress.

4221:   Logically Collective

4223:   Input Parameters:
4224: + snes           - the `SNES` context
4225: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4226: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4227: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4229:   Calling sequence of f:
4230: + snes  - the `SNES` object
4231: . it    - the current iteration
4232: . rnorm - norm of the residual
4233: - mctx  - the optional monitor context

4235:   Options Database Keys:
4236: + -snes_monitor               - sets `SNESMonitorDefault()`
4237: . -snes_monitor draw::draw_lg - sets line graph monitor,
4238: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4239:                                 the options database.

4241:   Level: intermediate

4243:   Note:
4244:   Several different monitoring routines may be set by calling
4245:   `SNESMonitorSet()` multiple times; all will be called in the
4246:   order in which they were set.

4248:   Fortran Note:
4249:   Only a single monitor function can be set for each `SNES` object

4251: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4252: @*/
4253: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscInt it, PetscReal rnorm, PetscCtx mctx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4254: {
4255:   PetscFunctionBegin;
4257:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4258:     PetscBool identical;

4260:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4261:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4262:   }
4263:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4264:   snes->monitor[snes->numbermonitors]          = f;
4265:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4266:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4267:   PetscFunctionReturn(PETSC_SUCCESS);
4268: }

4270: /*@
4271:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4273:   Logically Collective

4275:   Input Parameter:
4276: . snes - the `SNES` context

4278:   Options Database Key:
4279: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4280:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4281:                          set via the options database

4283:   Level: intermediate

4285:   Note:
4286:   There is no way to clear one specific monitor from a `SNES` object.

4288: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4289: @*/
4290: PetscErrorCode SNESMonitorCancel(SNES snes)
4291: {
4292:   PetscInt i;

4294:   PetscFunctionBegin;
4296:   for (i = 0; i < snes->numbermonitors; i++) {
4297:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4298:   }
4299:   snes->numbermonitors = 0;
4300:   PetscFunctionReturn(PETSC_SUCCESS);
4301: }

4303: /*@C
4304:   SNESSetConvergenceTest - Sets the function that is to be used
4305:   to test for convergence of the nonlinear iterative solution.

4307:   Logically Collective

4309:   Input Parameters:
4310: + snes    - the `SNES` context
4311: . func    - routine to test for convergence
4312: . ctx     - [optional] context for private data for the convergence routine  (may be `NULL`)
4313: - destroy - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4315:   Calling sequence of func:
4316: + snes   - the `SNES` context
4317: . it     - the current iteration number
4318: . xnorm  - the norm of the new solution
4319: . snorm  - the norm of the step
4320: . fnorm  - the norm of the function value
4321: . reason - output, the reason convergence or divergence as declared
4322: - ctx    - the optional convergence test context

4324:   Level: advanced

4326: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`
4327: @*/
4328: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm, SNESConvergedReason *reason, PetscCtx ctx), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4329: {
4330:   PetscFunctionBegin;
4332:   if (!func) func = SNESConvergedSkip;
4333:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4334:   snes->ops->converged        = func;
4335:   snes->ops->convergeddestroy = destroy;
4336:   snes->cnvP                  = ctx;
4337:   PetscFunctionReturn(PETSC_SUCCESS);
4338: }

4340: /*@
4341:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4343:   Not Collective

4345:   Input Parameter:
4346: . snes - the `SNES` context

4348:   Output Parameter:
4349: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4351:   Options Database Key:
4352: . -snes_converged_reason - prints the reason to standard out

4354:   Level: intermediate

4356:   Note:
4357:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4359: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4360: @*/
4361: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4362: {
4363:   PetscFunctionBegin;
4365:   PetscAssertPointer(reason, 2);
4366:   *reason = snes->reason;
4367:   PetscFunctionReturn(PETSC_SUCCESS);
4368: }

4370: /*@C
4371:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4373:   Not Collective

4375:   Input Parameter:
4376: . snes - the `SNES` context

4378:   Output Parameter:
4379: . strreason - a human readable string that describes `SNES` converged reason

4381:   Level: beginner

4383: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4384: @*/
4385: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4386: {
4387:   PetscFunctionBegin;
4389:   PetscAssertPointer(strreason, 2);
4390:   *strreason = SNESConvergedReasons[snes->reason];
4391:   PetscFunctionReturn(PETSC_SUCCESS);
4392: }

4394: /*@
4395:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4397:   Not Collective

4399:   Input Parameters:
4400: + snes   - the `SNES` context
4401: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4402:             manual pages for the individual convergence tests for complete lists

4404:   Level: developer

4406:   Developer Note:
4407:   Called inside the various `SNESSolve()` implementations

4409: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4410: @*/
4411: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4412: {
4413:   PetscFunctionBegin;
4415:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4416:   snes->reason = reason;
4417:   PetscFunctionReturn(PETSC_SUCCESS);
4418: }

4420: /*@
4421:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4423:   Logically Collective

4425:   Input Parameters:
4426: + snes  - iterative context obtained from `SNESCreate()`
4427: . a     - array to hold history, this array will contain the function norms computed at each step
4428: . its   - integer array holds the number of linear iterations for each solve.
4429: . na    - size of `a` and `its`
4430: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4431:           else it continues storing new values for new nonlinear solves after the old ones

4433:   Level: intermediate

4435:   Notes:
4436:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4437:   default array of length 1,000 is allocated.

4439:   This routine is useful, e.g., when running a code for purposes
4440:   of accurate performance monitoring, when no I/O should be done
4441:   during the section of code that is being timed.

4443:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4445: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4446: @*/
4447: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4448: {
4449:   PetscFunctionBegin;
4451:   if (a) PetscAssertPointer(a, 2);
4452:   if (its) PetscAssertPointer(its, 3);
4453:   if (!a) {
4454:     if (na == PETSC_DECIDE) na = 1000;
4455:     PetscCall(PetscCalloc2(na, &a, na, &its));
4456:     snes->conv_hist_alloc = PETSC_TRUE;
4457:   }
4458:   snes->conv_hist       = a;
4459:   snes->conv_hist_its   = its;
4460:   snes->conv_hist_max   = (size_t)na;
4461:   snes->conv_hist_len   = 0;
4462:   snes->conv_hist_reset = reset;
4463:   PetscFunctionReturn(PETSC_SUCCESS);
4464: }

4466: #if defined(PETSC_HAVE_MATLAB)
4467:   #include <engine.h> /* MATLAB include file */
4468:   #include <mex.h>    /* MATLAB include file */

4470: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4471: {
4472:   mxArray   *mat;
4473:   PetscInt   i;
4474:   PetscReal *ar;

4476:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4477:   ar  = (PetscReal *)mxGetData(mat);
4478:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4479:   return mat;
4480: }
4481: #endif

4483: /*@C
4484:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4486:   Not Collective

4488:   Input Parameter:
4489: . snes - iterative context obtained from `SNESCreate()`

4491:   Output Parameters:
4492: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4493: . its - integer array holds the number of linear iterations (or
4494:          negative if not converged) for each solve.
4495: - na  - size of `a` and `its`

4497:   Level: intermediate

4499:   Note:
4500:   This routine is useful, e.g., when running a code for purposes
4501:   of accurate performance monitoring, when no I/O should be done
4502:   during the section of code that is being timed.

4504:   Fortran Notes:
4505:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4507:   Use the arguments
4508: .vb
4509:   PetscReal, pointer :: a(:)
4510:   PetscInt, pointer :: its(:)
4511: .ve

4513: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4514: @*/
4515: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4516: {
4517:   PetscFunctionBegin;
4519:   if (a) *a = snes->conv_hist;
4520:   if (its) *its = snes->conv_hist_its;
4521:   if (na) *na = (PetscInt)snes->conv_hist_len;
4522:   PetscFunctionReturn(PETSC_SUCCESS);
4523: }

4525: /*@C
4526:   SNESSetUpdate - Sets the general-purpose update function called
4527:   at the beginning of every iteration of the nonlinear solve. Specifically
4528:   it is called just before the Jacobian is "evaluated" and after the function
4529:   evaluation.

4531:   Logically Collective

4533:   Input Parameters:
4534: + snes - The nonlinear solver context
4535: - func - The update function; for calling sequence see `SNESUpdateFn`

4537:   Level: advanced

4539:   Notes:
4540:   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
4541:   to `SNESSetFunction()`, or `SNESSetPicard()`
4542:   This is not used by most users, and it is intended to provide a general hook that is run
4543:   right before the direction step is computed.

4545:   Users are free to modify the current residual vector,
4546:   the current linearization point, or any other vector associated to the specific solver used.
4547:   If such modifications take place, it is the user responsibility to update all the relevant
4548:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4549: .vb
4550:   PetscErrorCode update(SNES snes, PetscInt iteration)
4551:   {
4552:     PetscFunctionBeginUser;
4553:     if (iteration > 0) {
4554:       // update the model parameters here
4555:       Vec x,f;
4556:       PetscCall(SNESGetSolution(snes,&x));
4557:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4558:       PetscCall(SNESComputeFunction(snes,x,f));
4559:     }
4560:     PetscFunctionReturn(PETSC_SUCCESS);
4561:   }
4562: .ve

4564:   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.

4566: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4567:          `SNESMonitorSet()`
4568: @*/
4569: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4570: {
4571:   PetscFunctionBegin;
4573:   snes->ops->update = func;
4574:   PetscFunctionReturn(PETSC_SUCCESS);
4575: }

4577: /*@
4578:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4580:   Collective

4582:   Input Parameters:
4583: + snes   - iterative context obtained from `SNESCreate()`
4584: - viewer - the viewer to display the reason

4586:   Options Database Keys:
4587: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4588: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4590:   Level: beginner

4592:   Note:
4593:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4594:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4596: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4597:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4598:           `SNESConvergedReasonViewFromOptions()`,
4599:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4600: @*/
4601: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4602: {
4603:   PetscViewerFormat format;
4604:   PetscBool         isAscii;

4606:   PetscFunctionBegin;
4607:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4608:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4609:   if (isAscii) {
4610:     PetscCall(PetscViewerGetFormat(viewer, &format));
4611:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4612:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4613:       DM       dm;
4614:       Vec      u;
4615:       PetscDS  prob;
4616:       PetscInt Nf, f;
4617:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4618:       void    **exactCtx;
4619:       PetscReal error;

4621:       PetscCall(SNESGetDM(snes, &dm));
4622:       PetscCall(SNESGetSolution(snes, &u));
4623:       PetscCall(DMGetDS(dm, &prob));
4624:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4625:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4626:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4627:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4628:       PetscCall(PetscFree2(exactSol, exactCtx));
4629:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4630:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4631:     }
4632:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4633:       if (((PetscObject)snes)->prefix) {
4634:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4635:       } else {
4636:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4637:       }
4638:     } else if (snes->reason <= 0) {
4639:       if (((PetscObject)snes)->prefix) {
4640:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4641:       } else {
4642:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4643:       }
4644:     }
4645:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4646:   }
4647:   PetscFunctionReturn(PETSC_SUCCESS);
4648: }

4650: /*@C
4651:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4652:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4654:   Logically Collective

4656:   Input Parameters:
4657: + snes              - the `SNES` context
4658: . f                 - the `SNESConvergedReason` view function
4659: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4660: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4662:   Calling sequence of `f`:
4663: + snes - the `SNES` context
4664: - vctx - [optional] context for private data for the function

4666:   Options Database Keys:
4667: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4668: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4669:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4671:   Level: intermediate

4673:   Note:
4674:   Several different converged reason view routines may be set by calling
4675:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4676:   order in which they were set.

4678: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4679:           `PetscCtxDestroyFn`
4680: @*/
4681: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, PetscCtx vctx), PetscCtx vctx, PetscCtxDestroyFn *reasonviewdestroy)
4682: {
4683:   PetscFunctionBegin;
4685:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4686:     PetscBool identical;

4688:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4689:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4690:   }
4691:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4692:   snes->reasonview[snes->numberreasonviews]          = f;
4693:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4694:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4695:   PetscFunctionReturn(PETSC_SUCCESS);
4696: }

4698: /*@
4699:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4700:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4702:   Collective

4704:   Input Parameter:
4705: . snes - the `SNES` object

4707:   Level: advanced

4709: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4710:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4711: @*/
4712: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4713: {
4714:   static PetscBool incall = PETSC_FALSE;

4716:   PetscFunctionBegin;
4717:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4718:   incall = PETSC_TRUE;

4720:   /* All user-provided viewers are called first, if they exist. */
4721:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4723:   /* Call PETSc default routine if users ask for it */
4724:   if (snes->convergedreasonviewer) {
4725:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4726:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4727:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4728:   }
4729:   incall = PETSC_FALSE;
4730:   PetscFunctionReturn(PETSC_SUCCESS);
4731: }

4733: /*@
4734:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4736:   Collective

4738:   Input Parameters:
4739: + snes - the `SNES` context
4740: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4741: - x    - the solution vector.

4743:   Level: beginner

4745:   Note:
4746:   The user should initialize the vector, `x`, with the initial guess
4747:   for the nonlinear solve prior to calling `SNESSolve()` .

4749: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4750:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4751:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4752: @*/
4753: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4754: {
4755:   PetscBool flg;
4756:   PetscInt  grid;
4757:   Vec       xcreated = NULL;
4758:   DM        dm;

4760:   PetscFunctionBegin;
4763:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4765:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4767:   /* High level operations using the nonlinear solver */
4768:   {
4769:     PetscViewer       viewer;
4770:     PetscViewerFormat format;
4771:     PetscInt          num;
4772:     PetscBool         flg;
4773:     static PetscBool  incall = PETSC_FALSE;

4775:     if (!incall) {
4776:       /* Estimate the convergence rate of the discretization */
4777:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4778:       if (flg) {
4779:         PetscConvEst conv;
4780:         DM           dm;
4781:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4782:         PetscInt     Nf;

4784:         incall = PETSC_TRUE;
4785:         PetscCall(SNESGetDM(snes, &dm));
4786:         PetscCall(DMGetNumFields(dm, &Nf));
4787:         PetscCall(PetscCalloc1(Nf, &alpha));
4788:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4789:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4790:         PetscCall(PetscConvEstSetFromOptions(conv));
4791:         PetscCall(PetscConvEstSetUp(conv));
4792:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4793:         PetscCall(PetscViewerPushFormat(viewer, format));
4794:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4795:         PetscCall(PetscViewerPopFormat(viewer));
4796:         PetscCall(PetscViewerDestroy(&viewer));
4797:         PetscCall(PetscConvEstDestroy(&conv));
4798:         PetscCall(PetscFree(alpha));
4799:         incall = PETSC_FALSE;
4800:       }
4801:       /* Adaptively refine the initial grid */
4802:       num = 1;
4803:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4804:       if (flg) {
4805:         DMAdaptor adaptor;

4807:         incall = PETSC_TRUE;
4808:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4809:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4810:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4811:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4812:         PetscCall(DMAdaptorSetUp(adaptor));
4813:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4814:         PetscCall(DMAdaptorDestroy(&adaptor));
4815:         incall = PETSC_FALSE;
4816:       }
4817:       /* Use grid sequencing to adapt */
4818:       num = 0;
4819:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4820:       if (num) {
4821:         DMAdaptor   adaptor;
4822:         const char *prefix;

4824:         incall = PETSC_TRUE;
4825:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4826:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4827:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4828:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4829:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4830:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4831:         PetscCall(DMAdaptorSetUp(adaptor));
4832:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4833:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4834:         PetscCall(DMAdaptorDestroy(&adaptor));
4835:         incall = PETSC_FALSE;
4836:       }
4837:     }
4838:   }
4839:   if (!x) x = snes->vec_sol;
4840:   if (!x) {
4841:     PetscCall(SNESGetDM(snes, &dm));
4842:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4843:     x = xcreated;
4844:   }
4845:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4847:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4848:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4849:     /* set solution vector */
4850:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4851:     PetscCall(VecDestroy(&snes->vec_sol));
4852:     snes->vec_sol = x;
4853:     PetscCall(SNESGetDM(snes, &dm));

4855:     /* set affine vector if provided */
4856:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4857:     PetscCall(VecDestroy(&snes->vec_rhs));
4858:     snes->vec_rhs = b;

4860:     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");
4861:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4862:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4863:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4864:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4865:     PetscCall(SNESSetUp(snes));

4867:     if (!grid) {
4868:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4869:     }

4871:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4872:     PetscCall(SNESResetCounters(snes));
4873:     snes->reason = SNES_CONVERGED_ITERATING;
4874:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4875:     PetscUseTypeMethod(snes, solve);
4876:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4877:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4878:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
4879:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
4880:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

4882:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4883:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4885:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4886:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4887:     /* Call converged reason views. This may involve user-provided viewers as well */
4888:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4890:     if (snes->errorifnotconverged) {
4891:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
4892:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4893:     }
4894:     if (snes->reason < 0) break;
4895:     if (grid < snes->gridsequence) {
4896:       DM  fine;
4897:       Vec xnew;
4898:       Mat interp;

4900:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4901:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4902:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4903:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4904:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4905:       PetscCall(MatInterpolate(interp, x, xnew));
4906:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4907:       PetscCall(MatDestroy(&interp));
4908:       x = xnew;

4910:       PetscCall(SNESReset(snes));
4911:       PetscCall(SNESSetDM(snes, fine));
4912:       PetscCall(SNESResetFromOptions(snes));
4913:       PetscCall(DMDestroy(&fine));
4914:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4915:     }
4916:   }
4917:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4918:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4919:   PetscCall(DMMonitor(snes->dm));
4920:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4922:   PetscCall(VecDestroy(&xcreated));
4923:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4924:   PetscFunctionReturn(PETSC_SUCCESS);
4925: }

4927: /* --------- Internal routines for SNES Package --------- */

4929: /*@
4930:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

4932:   Collective

4934:   Input Parameters:
4935: + snes - the `SNES` context
4936: - type - a known method

4938:   Options Database Key:
4939: . -snes_type type - Sets the method; see `SNESType`

4941:   Level: intermediate

4943:   Notes:
4944:   See `SNESType` for available methods (for instance)
4945: +    `SNESNEWTONLS` - Newton's method with line search
4946:   (systems of nonlinear equations)
4947: -    `SNESNEWTONTR` - Newton's method with trust region
4948:   (systems of nonlinear equations)

4950:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4951:   set the `SNES` solver type from the options database rather than by using
4952:   this routine.  Using the options database provides the user with
4953:   maximum flexibility in evaluating the many nonlinear solvers.
4954:   The `SNESSetType()` routine is provided for those situations where it
4955:   is necessary to set the nonlinear solver independently of the command
4956:   line or options database.  This might be the case, for example, when
4957:   the choice of solver changes during the execution of the program,
4958:   and the user's application is taking responsibility for choosing the
4959:   appropriate method.

4961:   Developer Note:
4962:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4963:   the constructor in that list and calls it to create the specific object.

4965: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4966: @*/
4967: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4968: {
4969:   PetscBool match;
4970:   PetscErrorCode (*r)(SNES);

4972:   PetscFunctionBegin;
4974:   PetscAssertPointer(type, 2);

4976:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4977:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4979:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4980:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4981:   /* Destroy the previous private SNES context */
4982:   PetscTryTypeMethod(snes, destroy);
4983:   /* Reinitialize type-specific function pointers in SNESOps structure */
4984:   snes->ops->reset          = NULL;
4985:   snes->ops->setup          = NULL;
4986:   snes->ops->solve          = NULL;
4987:   snes->ops->view           = NULL;
4988:   snes->ops->setfromoptions = NULL;
4989:   snes->ops->destroy        = NULL;

4991:   /* It may happen the user has customized the line search before calling SNESSetType */
4992:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

4994:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
4995:   snes->setupcalled = PETSC_FALSE;

4997:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
4998:   PetscCall((*r)(snes));
4999:   PetscFunctionReturn(PETSC_SUCCESS);
5000: }

5002: /*@
5003:   SNESGetType - Gets the `SNES` method type and name (as a string).

5005:   Not Collective

5007:   Input Parameter:
5008: . snes - nonlinear solver context

5010:   Output Parameter:
5011: . type - `SNES` method (a character string)

5013:   Level: intermediate

5015: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
5016: @*/
5017: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5018: {
5019:   PetscFunctionBegin;
5021:   PetscAssertPointer(type, 2);
5022:   *type = ((PetscObject)snes)->type_name;
5023:   PetscFunctionReturn(PETSC_SUCCESS);
5024: }

5026: /*@
5027:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5029:   Logically Collective

5031:   Input Parameters:
5032: + snes - the `SNES` context obtained from `SNESCreate()`
5033: - u    - the solution vector

5035:   Level: beginner

5037: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5038: @*/
5039: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5040: {
5041:   DM dm;

5043:   PetscFunctionBegin;
5046:   PetscCall(PetscObjectReference((PetscObject)u));
5047:   PetscCall(VecDestroy(&snes->vec_sol));

5049:   snes->vec_sol = u;

5051:   PetscCall(SNESGetDM(snes, &dm));
5052:   PetscCall(DMShellSetGlobalVector(dm, u));
5053:   PetscFunctionReturn(PETSC_SUCCESS);
5054: }

5056: /*@
5057:   SNESGetSolution - Returns the vector where the approximate solution is
5058:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5060:   Not Collective, but `x` is parallel if `snes` is parallel

5062:   Input Parameter:
5063: . snes - the `SNES` context

5065:   Output Parameter:
5066: . x - the solution

5068:   Level: intermediate

5070: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5071: @*/
5072: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5073: {
5074:   PetscFunctionBegin;
5076:   PetscAssertPointer(x, 2);
5077:   *x = snes->vec_sol;
5078:   PetscFunctionReturn(PETSC_SUCCESS);
5079: }

5081: /*@
5082:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5083:   stored.

5085:   Not Collective, but `x` is parallel if `snes` is parallel

5087:   Input Parameter:
5088: . snes - the `SNES` context

5090:   Output Parameter:
5091: . x - the solution update

5093:   Level: advanced

5095: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5096: @*/
5097: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5098: {
5099:   PetscFunctionBegin;
5101:   PetscAssertPointer(x, 2);
5102:   *x = snes->vec_sol_update;
5103:   PetscFunctionReturn(PETSC_SUCCESS);
5104: }

5106: /*@C
5107:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5109:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5111:   Input Parameter:
5112: . snes - the `SNES` context

5114:   Output Parameters:
5115: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5116: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5117: - ctx - the function context (or `NULL` if you don't want it)

5119:   Level: advanced

5121:   Note:
5122:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5124: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5125: @*/
5126: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5127: {
5128:   DM dm;

5130:   PetscFunctionBegin;
5132:   if (r) {
5133:     if (!snes->vec_func) {
5134:       if (snes->vec_rhs) {
5135:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5136:       } else if (snes->vec_sol) {
5137:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5138:       } else if (snes->dm) {
5139:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5140:       }
5141:     }
5142:     *r = snes->vec_func;
5143:   }
5144:   PetscCall(SNESGetDM(snes, &dm));
5145:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5146:   PetscFunctionReturn(PETSC_SUCCESS);
5147: }

5149: /*@C
5150:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5152:   Input Parameter:
5153: . snes - the `SNES` context

5155:   Output Parameters:
5156: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5157: - ctx - the function context (or `NULL`)

5159:   Level: advanced

5161: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5162: @*/
5163: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5164: {
5165:   DM dm;

5167:   PetscFunctionBegin;
5169:   PetscCall(SNESGetDM(snes, &dm));
5170:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5171:   PetscFunctionReturn(PETSC_SUCCESS);
5172: }

5174: /*@
5175:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5176:   `SNES` options in the database.

5178:   Logically Collective

5180:   Input Parameters:
5181: + snes   - the `SNES` context
5182: - prefix - the prefix to prepend to all option names

5184:   Level: advanced

5186:   Note:
5187:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5188:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5190: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5191: @*/
5192: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5193: {
5194:   PetscFunctionBegin;
5196:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5197:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5198:   if (snes->linesearch) {
5199:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5200:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5201:   }
5202:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5203:   PetscFunctionReturn(PETSC_SUCCESS);
5204: }

5206: /*@
5207:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5208:   `SNES` options in the database.

5210:   Logically Collective

5212:   Input Parameters:
5213: + snes   - the `SNES` context
5214: - prefix - the prefix to prepend to all option names

5216:   Level: advanced

5218:   Note:
5219:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5220:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5222: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5223: @*/
5224: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5225: {
5226:   PetscFunctionBegin;
5228:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5229:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5230:   if (snes->linesearch) {
5231:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5232:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5233:   }
5234:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5235:   PetscFunctionReturn(PETSC_SUCCESS);
5236: }

5238: /*@
5239:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5240:   `SNES` options in the database.

5242:   Not Collective

5244:   Input Parameter:
5245: . snes - the `SNES` context

5247:   Output Parameter:
5248: . prefix - pointer to the prefix string used

5250:   Level: advanced

5252: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5253: @*/
5254: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5255: {
5256:   PetscFunctionBegin;
5258:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5259:   PetscFunctionReturn(PETSC_SUCCESS);
5260: }

5262: /*@C
5263:   SNESRegister - Adds a method to the nonlinear solver package.

5265:   Not Collective

5267:   Input Parameters:
5268: + sname    - name of a new user-defined solver
5269: - function - routine to create method context

5271:   Level: advanced

5273:   Note:
5274:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5276:   Example Usage:
5277: .vb
5278:    SNESRegister("my_solver", MySolverCreate);
5279: .ve

5281:   Then, your solver can be chosen with the procedural interface via
5282: .vb
5283:   SNESSetType(snes, "my_solver")
5284: .ve
5285:   or at runtime via the option
5286: .vb
5287:   -snes_type my_solver
5288: .ve

5290: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5291: @*/
5292: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5293: {
5294:   PetscFunctionBegin;
5295:   PetscCall(SNESInitializePackage());
5296:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5297:   PetscFunctionReturn(PETSC_SUCCESS);
5298: }

5300: PetscErrorCode SNESTestLocalMin(SNES snes)
5301: {
5302:   PetscInt    N, i, j;
5303:   Vec         u, uh, fh;
5304:   PetscScalar value;
5305:   PetscReal   norm;

5307:   PetscFunctionBegin;
5308:   PetscCall(SNESGetSolution(snes, &u));
5309:   PetscCall(VecDuplicate(u, &uh));
5310:   PetscCall(VecDuplicate(u, &fh));

5312:   /* currently only works for sequential */
5313:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5314:   PetscCall(VecGetSize(u, &N));
5315:   for (i = 0; i < N; i++) {
5316:     PetscCall(VecCopy(u, uh));
5317:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5318:     for (j = -10; j < 11; j++) {
5319:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5320:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5321:       PetscCall(SNESComputeFunction(snes, uh, fh));
5322:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5323:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5324:       value = -value;
5325:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5326:     }
5327:   }
5328:   PetscCall(VecDestroy(&uh));
5329:   PetscCall(VecDestroy(&fh));
5330:   PetscFunctionReturn(PETSC_SUCCESS);
5331: }

5333: /*@
5334:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5336:   Not Collective

5338:   Input Parameter:
5339: . snes - iterative context obtained from `SNESCreate()`

5341:   Output Parameter:
5342: . linesearch - linesearch context

5344:   Level: beginner

5346:   Notes:
5347:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5349:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5351: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5352: @*/
5353: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5354: {
5355:   const char *optionsprefix;

5357:   PetscFunctionBegin;
5359:   PetscAssertPointer(linesearch, 2);
5360:   if (!snes->linesearch) {
5361:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5362:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5363:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5364:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5365:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5366:   }
5367:   *linesearch = snes->linesearch;
5368:   PetscFunctionReturn(PETSC_SUCCESS);
5369: }

5371: /*@
5372:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5373:   computing relative tolerance for linear solvers within an inexact
5374:   Newton method.

5376:   Logically Collective

5378:   Input Parameters:
5379: + snes - `SNES` context
5380: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5382:   Options Database Keys:
5383: + -snes_ksp_ew                     - use Eisenstat-Walker method for determining linear system convergence
5384: . -snes_ksp_ew_version ver         - version of  Eisenstat-Walker method
5385: . -snes_ksp_ew_rtol0 rtol0         - Sets rtol0
5386: . -snes_ksp_ew_rtolmax rtolmax     - Sets rtolmax
5387: . -snes_ksp_ew_gamma gamma         - Sets gamma
5388: . -snes_ksp_ew_alpha alpha         - Sets alpha
5389: . -snes_ksp_ew_alpha2 alpha2       - Sets alpha2
5390: - -snes_ksp_ew_threshold threshold - Sets threshold

5392:   Level: advanced

5394:   Note:
5395:   The default is to use a constant relative tolerance for
5396:   the inner linear solvers.  Alternatively, one can use the
5397:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5398:   is reset at each Newton iteration according progress of the nonlinear
5399:   solver.

5401: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5402: @*/
5403: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5404: {
5405:   PetscFunctionBegin;
5408:   snes->ksp_ewconv = flag;
5409:   PetscFunctionReturn(PETSC_SUCCESS);
5410: }

5412: /*@
5413:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5414:   for computing relative tolerance for linear solvers within an
5415:   inexact Newton method.

5417:   Not Collective

5419:   Input Parameter:
5420: . snes - `SNES` context

5422:   Output Parameter:
5423: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5425:   Level: advanced

5427: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5428: @*/
5429: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5430: {
5431:   PetscFunctionBegin;
5433:   PetscAssertPointer(flag, 2);
5434:   *flag = snes->ksp_ewconv;
5435:   PetscFunctionReturn(PETSC_SUCCESS);
5436: }

5438: /*@
5439:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5440:   convergence criteria for the linear solvers within an inexact
5441:   Newton method.

5443:   Logically Collective

5445:   Input Parameters:
5446: + snes      - `SNES` context
5447: . version   - version 1, 2 (default is 2), 3 or 4
5448: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5449: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5450: . gamma     - multiplicative factor for version 2 rtol computation
5451:              (0 <= gamma2 <= 1)
5452: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5453: . alpha2    - power for safeguard
5454: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5456:   Level: advanced

5458:   Notes:
5459:   Version 3 was contributed by Luis Chacon, June 2006.

5461:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5463: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5464: @*/
5465: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5466: {
5467:   SNESKSPEW *kctx;

5469:   PetscFunctionBegin;
5471:   kctx = (SNESKSPEW *)snes->kspconvctx;
5472:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5481:   if (version != PETSC_CURRENT) kctx->version = version;
5482:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5483:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5484:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5485:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5486:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5487:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5489:   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);
5490:   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);
5491:   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);
5492:   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);
5493:   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);
5494:   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);
5495:   PetscFunctionReturn(PETSC_SUCCESS);
5496: }

5498: /*@
5499:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5500:   convergence criteria for the linear solvers within an inexact
5501:   Newton method.

5503:   Not Collective

5505:   Input Parameter:
5506: . snes - `SNES` context

5508:   Output Parameters:
5509: + version   - version 1, 2 (default is 2), 3 or 4
5510: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5511: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5512: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5513: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5514: . alpha2    - power for safeguard
5515: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5517:   Level: advanced

5519: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5520: @*/
5521: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5522: {
5523:   SNESKSPEW *kctx;

5525:   PetscFunctionBegin;
5527:   kctx = (SNESKSPEW *)snes->kspconvctx;
5528:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5529:   if (version) *version = kctx->version;
5530:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5531:   if (rtol_max) *rtol_max = kctx->rtol_max;
5532:   if (gamma) *gamma = kctx->gamma;
5533:   if (alpha) *alpha = kctx->alpha;
5534:   if (alpha2) *alpha2 = kctx->alpha2;
5535:   if (threshold) *threshold = kctx->threshold;
5536:   PetscFunctionReturn(PETSC_SUCCESS);
5537: }

5539: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5540: {
5541:   SNES       snes = (SNES)ctx;
5542:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5543:   PetscReal  rtol = PETSC_CURRENT, stol;

5545:   PetscFunctionBegin;
5546:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5547:   if (!snes->iter) {
5548:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5549:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5550:   } else {
5551:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5552:     if (kctx->version == 1) {
5553:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5554:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5555:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5556:     } else if (kctx->version == 2) {
5557:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5558:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5559:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5560:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5561:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5562:       /* safeguard: avoid sharp decrease of rtol */
5563:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5564:       stol = PetscMax(rtol, stol);
5565:       rtol = PetscMin(kctx->rtol_0, stol);
5566:       /* safeguard: avoid oversolving */
5567:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5568:       stol = PetscMax(rtol, stol);
5569:       rtol = PetscMin(kctx->rtol_0, stol);
5570:     } else /* if (kctx->version == 4) */ {
5571:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5572:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5573:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5574:       PetscReal rk   = ared / pred;
5575:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5576:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5577:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5578:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5580:       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;
5581:       kctx->rtol_last_2 = kctx->rtol_last;
5582:       kctx->rk_last_2   = kctx->rk_last;
5583:       kctx->rk_last     = rk;
5584:     }
5585:   }
5586:   /* safeguard: avoid rtol greater than rtol_max */
5587:   rtol = PetscMin(rtol, kctx->rtol_max);
5588:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5589:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5590:   PetscFunctionReturn(PETSC_SUCCESS);
5591: }

5593: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5594: {
5595:   SNES       snes = (SNES)ctx;
5596:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5597:   PCSide     pcside;
5598:   Vec        lres;

5600:   PetscFunctionBegin;
5601:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5602:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5603:   kctx->norm_last = snes->norm;
5604:   if (kctx->version == 1 || kctx->version == 4) {
5605:     PC        pc;
5606:     PetscBool getRes;

5608:     PetscCall(KSPGetPC(ksp, &pc));
5609:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5610:     if (!getRes) {
5611:       KSPNormType normtype;

5613:       PetscCall(KSPGetNormType(ksp, &normtype));
5614:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5615:     }
5616:     PetscCall(KSPGetPCSide(ksp, &pcside));
5617:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5618:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5619:     } else {
5620:       /* KSP residual is preconditioned residual */
5621:       /* compute true linear residual norm */
5622:       Mat J;
5623:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5624:       PetscCall(VecDuplicate(b, &lres));
5625:       PetscCall(MatMult(J, x, lres));
5626:       PetscCall(VecAYPX(lres, -1.0, b));
5627:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5628:       PetscCall(VecDestroy(&lres));
5629:     }
5630:   }
5631:   PetscFunctionReturn(PETSC_SUCCESS);
5632: }

5634: /*@
5635:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5637:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5639:   Input Parameter:
5640: . snes - the `SNES` context

5642:   Output Parameter:
5643: . ksp - the `KSP` context

5645:   Level: beginner

5647:   Notes:
5648:   The user can then directly manipulate the `KSP` context to set various
5649:   options, etc.  Likewise, the user can then extract and manipulate the
5650:   `PC` contexts as well.

5652:   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.

5654: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5655: @*/
5656: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5657: {
5658:   PetscFunctionBegin;
5660:   PetscAssertPointer(ksp, 2);

5662:   if (!snes->ksp) {
5663:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5664:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5666:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5667:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5669:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5670:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5671:   }
5672:   *ksp = snes->ksp;
5673:   PetscFunctionReturn(PETSC_SUCCESS);
5674: }

5676: #include <petsc/private/dmimpl.h>
5677: /*@
5678:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5680:   Logically Collective

5682:   Input Parameters:
5683: + snes - the nonlinear solver context
5684: - dm   - the `DM`, cannot be `NULL`

5686:   Level: intermediate

5688:   Note:
5689:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5690:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5691:   problems using the same function space.

5693: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5694: @*/
5695: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5696: {
5697:   KSP    ksp;
5698:   DMSNES sdm;

5700:   PetscFunctionBegin;
5703:   PetscCall(PetscObjectReference((PetscObject)dm));
5704:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5705:     if (snes->dm->dmsnes && !dm->dmsnes) {
5706:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5707:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5708:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5709:     }
5710:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5711:     PetscCall(DMDestroy(&snes->dm));
5712:   }
5713:   snes->dm     = dm;
5714:   snes->dmAuto = PETSC_FALSE;

5716:   PetscCall(SNESGetKSP(snes, &ksp));
5717:   PetscCall(KSPSetDM(ksp, dm));
5718:   PetscCall(KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE));
5719:   if (snes->npc) {
5720:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5721:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5722:   }
5723:   PetscFunctionReturn(PETSC_SUCCESS);
5724: }

5726: /*@
5727:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5729:   Not Collective but `dm` obtained is parallel on `snes`

5731:   Input Parameter:
5732: . snes - the `SNES` context

5734:   Output Parameter:
5735: . dm - the `DM`

5737:   Level: intermediate

5739: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5740: @*/
5741: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5742: {
5743:   PetscFunctionBegin;
5745:   if (!snes->dm) {
5746:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5747:     snes->dmAuto = PETSC_TRUE;
5748:   }
5749:   *dm = snes->dm;
5750:   PetscFunctionReturn(PETSC_SUCCESS);
5751: }

5753: /*@
5754:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5756:   Collective

5758:   Input Parameters:
5759: + snes - iterative context obtained from `SNESCreate()`
5760: - npc  - the `SNES` nonlinear preconditioner object

5762:   Options Database Key:
5763: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5765:   Level: developer

5767:   Notes:
5768:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5770:   Only some `SNESType` can use a nonlinear preconditioner

5772: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5773: @*/
5774: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5775: {
5776:   PetscFunctionBegin;
5779:   PetscCheckSameComm(snes, 1, npc, 2);
5780:   PetscCall(PetscObjectReference((PetscObject)npc));
5781:   PetscCall(SNESDestroy(&snes->npc));
5782:   snes->npc = npc;
5783:   PetscFunctionReturn(PETSC_SUCCESS);
5784: }

5786: /*@
5787:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5789:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5791:   Input Parameter:
5792: . snes - iterative context obtained from `SNESCreate()`

5794:   Output Parameter:
5795: . pc - the `SNES` preconditioner context

5797:   Options Database Key:
5798: . -npc_snes_type type - set the type of the `SNES` to use as the nonlinear preconditioner

5800:   Level: advanced

5802:   Notes:
5803:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5804:   be used as the nonlinear preconditioner for the current `SNES`.

5806:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5807:   `SNES`. These may be overwritten if needed.

5809:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5811: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5812: @*/
5813: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5814: {
5815:   const char *optionsprefix;

5817:   PetscFunctionBegin;
5819:   PetscAssertPointer(pc, 2);
5820:   if (!snes->npc) {
5821:     PetscCtx ctx;

5823:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5824:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5825:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5826:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5827:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5828:     if (snes->ops->ctxcompute) {
5829:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->ctxcompute, snes->ops->ctxdestroy));
5830:     } else {
5831:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5832:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5833:     }
5834:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5835:   }
5836:   *pc = snes->npc;
5837:   PetscFunctionReturn(PETSC_SUCCESS);
5838: }

5840: /*@
5841:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5843:   Not Collective

5845:   Input Parameter:
5846: . snes - iterative context obtained from `SNESCreate()`

5848:   Output Parameter:
5849: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5851:   Level: developer

5853: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5854: @*/
5855: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5856: {
5857:   PetscFunctionBegin;
5859:   PetscAssertPointer(has_npc, 2);
5860:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5861:   PetscFunctionReturn(PETSC_SUCCESS);
5862: }

5864: /*@
5865:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5867:   Logically Collective

5869:   Input Parameter:
5870: . snes - iterative context obtained from `SNESCreate()`

5872:   Output Parameter:
5873: . side - the preconditioning side, where side is one of
5874: .vb
5875:       PC_LEFT  - left preconditioning
5876:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5877: .ve

5879:   Options Database Key:
5880: . -snes_npc_side (right|left) - nonlinear preconditioner side

5882:   Level: intermediate

5884:   Note:
5885:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5887: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5888: @*/
5889: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5890: {
5891:   PetscFunctionBegin;
5894:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5895:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5896:   snes->npcside = side;
5897:   PetscFunctionReturn(PETSC_SUCCESS);
5898: }

5900: /*@
5901:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5903:   Not Collective

5905:   Input Parameter:
5906: . snes - iterative context obtained from `SNESCreate()`

5908:   Output Parameter:
5909: . side - the preconditioning side, where side is one of
5910: .vb
5911:       `PC_LEFT` - left preconditioning
5912:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5913: .ve

5915:   Level: intermediate

5917: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5918: @*/
5919: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5920: {
5921:   PetscFunctionBegin;
5923:   PetscAssertPointer(side, 2);
5924:   *side = snes->npcside;
5925:   PetscFunctionReturn(PETSC_SUCCESS);
5926: }

5928: /*@
5929:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

5931:   Collective

5933:   Input Parameters:
5934: + snes       - iterative context obtained from `SNESCreate()`
5935: - linesearch - the linesearch object

5937:   Level: developer

5939:   Note:
5940:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5941:   to configure it using the API).

5943: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5944: @*/
5945: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5946: {
5947:   PetscFunctionBegin;
5950:   PetscCheckSameComm(snes, 1, linesearch, 2);
5951:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5952:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5954:   snes->linesearch = linesearch;
5955:   PetscFunctionReturn(PETSC_SUCCESS);
5956: }