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 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()`
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 and
171:   returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_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 `SNESCheckFunctionDomainError()` to determine if the `SNESConvergedReason` is set to `SNES_DIVERGED_FUNCTION_DOMAIN`

183: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
184:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`,
185:           `SNES_DIVERGED_FUNCTION_DOMAIN`, `SNESSetFunctionDomainError()`
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_FUNCTION_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, void *);

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 iterating until max_it or some other criterion is reached, saving expense of convergence test. correct_pressure `SNESConvergedCorrectPressure()` has special handling of a pressure null space.
923: . -snes_monitor [ascii][:filename][:viewer format]                             - prints residual norm at each iteration. if no filename given prints to stdout
924: . -snes_monitor_solution [ascii binary draw][:filename][:viewer format]        - plots solution at each iteration
925: . -snes_monitor_residual [ascii binary draw][:filename][:viewer format]        - plots residual (not its norm) at each iteration
926: . -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration
927: . -snes_monitor_lg_residualnorm                                                - plots residual norm at each iteration
928: . -snes_monitor_lg_range                                                       - plots residual norm at each iteration
929: . -snes_monitor_pause_final                                                    - Pauses all monitor drawing after the solver ends
930: . -snes_fd                                                                     - use finite differences to compute Jacobian; very slow, only for testing
931: . -snes_fd_color                                                               - use finite differences with coloring to compute Jacobian
932: . -snes_mf_ksp_monitor                                                         - if using matrix-free multiply then print h at each `KSP` iteration
933: . -snes_converged_reason                                                       - print the reason for convergence/divergence after each solve
934: . -npc_snes_type <type>                                                        - the `SNES` type to use as a nonlinear preconditioner
935: . -snes_test_jacobian <optional threshold>                                     - compare the user provided Jacobian with one computed via finite differences to check for errors.  If a threshold is given, display only those entries whose difference is greater than the threshold.
936: - -snes_test_jacobian_view                                                     - 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.

938:   Options Database Keys for Eisenstat-Walker method:
939: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
940: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
941: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
942: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
943: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
944: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
945: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
946: - -snes_ksp_ew_threshold <threshold> - Sets threshold

948:   Level: beginner

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

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

957: .seealso: [](ch_snes), `SNESType`, `SNESSetOptionsPrefix()`, `SNESResetFromOptions()`, `SNES`, `SNESCreate()`, `MatCreateSNESMF()`, `MatFDColoring`
958: @*/
959: PetscErrorCode SNESSetFromOptions(SNES snes)
960: {
961:   PetscBool   flg, pcset, persist, set;
962:   PetscInt    i, indx, lag, grids, max_its, max_funcs;
963:   const char *deft        = SNESNEWTONLS;
964:   const char *convtests[] = {"default", "skip", "correct_pressure"};
965:   SNESKSPEW  *kctx        = NULL;
966:   char        type[256], monfilename[PETSC_MAX_PATH_LEN], ewprefix[256];
967:   PCSide      pcside;
968:   const char *optionsprefix;
969:   PetscReal   rtol, abstol, stol;

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

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

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

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

1001:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1002:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1004:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1005:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1006:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1008:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1009:   if (flg) {
1010:     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");
1011:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1012:   }
1013:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1014:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1015:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1016:   if (flg) {
1017:     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");
1018:     PetscCall(SNESSetLagJacobian(snes, lag));
1019:   }
1020:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1021:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1023:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1024:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1026:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1027:   if (flg) {
1028:     switch (indx) {
1029:     case 0:
1030:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1031:       break;
1032:     case 1:
1033:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1034:       break;
1035:     case 2:
1036:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1037:       break;
1038:     }
1039:   }

1041:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1042:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1044:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1045:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1047:   kctx = (SNESKSPEW *)snes->kspconvctx;

1049:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1051:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1052:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1053:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1055:   flg = PETSC_FALSE;
1056:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1057:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1059:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1060:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1061:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1063:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1064:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1065:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1066:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1068:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1069:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1070:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1072:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1073:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1075:   flg = PETSC_FALSE;
1076:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1077:   if (flg) {
1078:     PetscViewer ctx;

1080:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1081:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1082:   }

1084:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1085:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1086:   flg = PETSC_FALSE;
1087:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1088:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1090:   flg = PETSC_FALSE;
1091:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1092:   if (flg) {
1093:     void *functx;
1094:     DM    dm;
1095:     PetscCall(SNESGetDM(snes, &dm));
1096:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1097:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1098:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1099:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1100:   }

1102:   flg = PETSC_FALSE;
1103:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1104:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1106:   flg = PETSC_FALSE;
1107:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1108:   if (flg) {
1109:     DM dm;
1110:     PetscCall(SNESGetDM(snes, &dm));
1111:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1112:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1113:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1114:   }

1116:   flg = PETSC_FALSE;
1117:   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));
1118:   if (flg && snes->mf_operator) {
1119:     snes->mf_operator = PETSC_TRUE;
1120:     snes->mf          = PETSC_TRUE;
1121:   }
1122:   flg = PETSC_FALSE;
1123:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1124:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1125:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1127:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1128:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1130:   flg = PETSC_FALSE;
1131:   PetscCall(SNESGetNPCSide(snes, &pcside));
1132:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1133:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1135: #if defined(PETSC_HAVE_SAWS)
1136:   /*
1137:     Publish convergence information using SAWs
1138:   */
1139:   flg = PETSC_FALSE;
1140:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1141:   if (flg) {
1142:     PetscCtx ctx;
1143:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1144:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1145:   }
1146: #endif
1147: #if defined(PETSC_HAVE_SAWS)
1148:   {
1149:     PetscBool set;
1150:     flg = PETSC_FALSE;
1151:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1152:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1153:   }
1154: #endif

1156:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1158:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1160:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1161:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1162:   PetscOptionsEnd();

1164:   if (snes->linesearch) {
1165:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1166:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1167:   }

1169:   if (snes->usesksp) {
1170:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1171:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1172:     PetscCall(KSPSetFromOptions(snes->ksp));
1173:   }

1175:   /* if user has set the SNES NPC type via options database, create it. */
1176:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1177:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1178:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1179:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1180:   snes->setfromoptionscalled++;
1181:   PetscFunctionReturn(PETSC_SUCCESS);
1182: }

1184: /*@
1185:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1187:   Collective

1189:   Input Parameter:
1190: . snes - the `SNES` context

1192:   Level: advanced

1194: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1195: @*/
1196: PetscErrorCode SNESResetFromOptions(SNES snes)
1197: {
1198:   PetscFunctionBegin;
1199:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1200:   PetscFunctionReturn(PETSC_SUCCESS);
1201: }

1203: /*@C
1204:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1205:   the nonlinear solvers.

1207:   Logically Collective; No Fortran Support

1209:   Input Parameters:
1210: + snes    - the `SNES` context
1211: . compute - function to compute the context
1212: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1214:   Calling sequence of `compute`:
1215: + snes - the `SNES` context
1216: - ctx  - context to be computed

1218:   Level: intermediate

1220:   Note:
1221:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1223:   Use `SNESSetApplicationContext()` to see the context immediately

1225: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1226: @*/
1227: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, PetscCtxRt ctx), PetscCtxDestroyFn *destroy)
1228: {
1229:   PetscFunctionBegin;
1231:   snes->ops->ctxcompute = compute;
1232:   snes->ops->ctxdestroy = destroy;
1233:   PetscFunctionReturn(PETSC_SUCCESS);
1234: }

1236: /*@
1237:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1239:   Logically Collective

1241:   Input Parameters:
1242: + snes - the `SNES` context
1243: - ctx  - the user context

1245:   Level: intermediate

1247:   Notes:
1248:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1249:   with `SNESGetApplicationContext()`

1251:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1253:   Fortran Note:
1254:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1255:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1256:   an example.

1258: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1259: @*/
1260: PetscErrorCode SNESSetApplicationContext(SNES snes, PetscCtx ctx)
1261: {
1262:   KSP ksp;

1264:   PetscFunctionBegin;
1266:   PetscCall(SNESGetKSP(snes, &ksp));
1267:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1268:   snes->ctx = ctx;
1269:   PetscFunctionReturn(PETSC_SUCCESS);
1270: }

1272: /*@
1273:   SNESGetApplicationContext - Gets the user-defined context for the
1274:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1276:   Not Collective

1278:   Input Parameter:
1279: . snes - `SNES` context

1281:   Output Parameter:
1282: . ctx - the application context

1284:   Level: intermediate

1286:   Fortran Notes:
1287:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
1288: .vb
1289:   type(tUsertype), pointer :: ctx
1290: .ve

1292: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1293: @*/
1294: PetscErrorCode SNESGetApplicationContext(SNES snes, PetscCtxRt ctx)
1295: {
1296:   PetscFunctionBegin;
1298:   *(void **)ctx = snes->ctx;
1299:   PetscFunctionReturn(PETSC_SUCCESS);
1300: }

1302: /*@
1303:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1305:   Logically Collective

1307:   Input Parameters:
1308: + snes        - `SNES` context
1309: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1310: - 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
1311:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1313:   Options Database Keys:
1314: + -snes_mf_operator - use matrix-free only for the mat operator
1315: . -snes_mf          - use matrix-free for both the mat and pmat operator
1316: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1317: - -snes_fd          - compute the Jacobian via finite differences (slow)

1319:   Level: intermediate

1321:   Note:
1322:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1323:   and computing explicitly with
1324:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1326: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1327: @*/
1328: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1329: {
1330:   PetscFunctionBegin;
1334:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1335:   snes->mf_operator = mf_operator;
1336:   PetscFunctionReturn(PETSC_SUCCESS);
1337: }

1339: /*@
1340:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1342:   Not Collective, but the resulting flags will be the same on all MPI processes

1344:   Input Parameter:
1345: . snes - `SNES` context

1347:   Output Parameters:
1348: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1349: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1351:   Level: intermediate

1353: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1354: @*/
1355: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1356: {
1357:   PetscFunctionBegin;
1359:   if (mf) *mf = snes->mf;
1360:   if (mf_operator) *mf_operator = snes->mf_operator;
1361:   PetscFunctionReturn(PETSC_SUCCESS);
1362: }

1364: /*@
1365:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1367:   Not Collective

1369:   Input Parameter:
1370: . snes - `SNES` context

1372:   Output Parameter:
1373: . iter - iteration number

1375:   Level: intermediate

1377:   Notes:
1378:   For example, during the computation of iteration 2 this would return 1.

1380:   This is useful for using lagged Jacobians (where one does not recompute the
1381:   Jacobian at each `SNES` iteration). For example, the code
1382: .vb
1383:       ierr = SNESGetIterationNumber(snes,&it);
1384:       if (!(it % 2)) {
1385:         [compute Jacobian here]
1386:       }
1387: .ve
1388:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1389:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1391:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1393: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1394: @*/
1395: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1396: {
1397:   PetscFunctionBegin;
1399:   PetscAssertPointer(iter, 2);
1400:   *iter = snes->iter;
1401:   PetscFunctionReturn(PETSC_SUCCESS);
1402: }

1404: /*@
1405:   SNESSetIterationNumber - Sets the current iteration number.

1407:   Not Collective

1409:   Input Parameters:
1410: + snes - `SNES` context
1411: - iter - iteration number

1413:   Level: developer

1415:   Note:
1416:   This should only be called inside a `SNES` nonlinear solver.

1418: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1419: @*/
1420: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1421: {
1422:   PetscFunctionBegin;
1424:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1425:   snes->iter = iter;
1426:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1427:   PetscFunctionReturn(PETSC_SUCCESS);
1428: }

1430: /*@
1431:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1432:   taken by the nonlinear solver in the current or most recent `SNESSolve()` .

1434:   Not Collective

1436:   Input Parameter:
1437: . snes - `SNES` context

1439:   Output Parameter:
1440: . nfails - number of unsuccessful steps attempted

1442:   Level: intermediate

1444:   Notes:
1445:   A failed step is a step that was generated and taken but did not satisfy the requested step criteria. For example,
1446:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1448:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1449:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1451:   `SNESSetMaxNonlinearStepFailures()` determines how many unsuccessful steps are allowed before the `SNESSolve()` terminates

1453:   This counter is reset to zero for each successive call to `SNESSolve()`.

1455: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1456:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1457: @*/
1458: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1459: {
1460:   PetscFunctionBegin;
1462:   PetscAssertPointer(nfails, 2);
1463:   *nfails = snes->numFailures;
1464:   PetscFunctionReturn(PETSC_SUCCESS);
1465: }

1467: /*@
1468:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1469:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1471:   Not Collective

1473:   Input Parameters:
1474: + snes     - `SNES` context
1475: - maxFails - maximum of unsuccessful steps allowed, use `PETSC_UNLIMITED` to have no limit on the number of failures

1477:   Options Database Key:
1478: . -snes_max_fail <n> - maximum number of unsuccessful steps allowed

1480:   Level: intermediate

1482:   Note:
1483:   A failed step is a step that was generated and taken but did not satisfy the requested criteria. For example,
1484:   the `SNESLineSearchApply()` could not generate a sufficient decrease in the function norm (in fact it may have produced an increase).

1486:   Taken steps that produce a infinity or NaN in the function evaluation or generate a `SNESSetFunctionDomainError()`
1487:   will always immediately terminate the `SNESSolve()` regardless of the value of `maxFails`.

1489:   Developer Note:
1490:   The options database key is wrong for this function name

1492: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1493:           `SNESGetLinearSolveFailures()`, `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`, `SNESCheckLineSearchFailure()`
1494: @*/
1495: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1496: {
1497:   PetscFunctionBegin;

1500:   if (maxFails == PETSC_UNLIMITED) {
1501:     snes->maxFailures = PETSC_INT_MAX;
1502:   } else {
1503:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1504:     snes->maxFailures = maxFails;
1505:   }
1506:   PetscFunctionReturn(PETSC_SUCCESS);
1507: }

1509: /*@
1510:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1511:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1513:   Not Collective

1515:   Input Parameter:
1516: . snes - `SNES` context

1518:   Output Parameter:
1519: . maxFails - maximum of unsuccessful steps

1521:   Level: intermediate

1523: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1524:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1525: @*/
1526: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1527: {
1528:   PetscFunctionBegin;
1530:   PetscAssertPointer(maxFails, 2);
1531:   *maxFails = snes->maxFailures;
1532:   PetscFunctionReturn(PETSC_SUCCESS);
1533: }

1535: /*@
1536:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1537:   done by the `SNES` object in the current or most recent `SNESSolve()`

1539:   Not Collective

1541:   Input Parameter:
1542: . snes - `SNES` context

1544:   Output Parameter:
1545: . nfuncs - number of evaluations

1547:   Level: intermediate

1549:   Note:
1550:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1552: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1553: @*/
1554: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1555: {
1556:   PetscFunctionBegin;
1558:   PetscAssertPointer(nfuncs, 2);
1559:   *nfuncs = snes->nfuncs;
1560:   PetscFunctionReturn(PETSC_SUCCESS);
1561: }

1563: /*@
1564:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1565:   linear solvers in the current or most recent `SNESSolve()`

1567:   Not Collective

1569:   Input Parameter:
1570: . snes - `SNES` context

1572:   Output Parameter:
1573: . nfails - number of failed solves

1575:   Options Database Key:
1576: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1578:   Level: intermediate

1580:   Note:
1581:   This counter is reset to zero for each successive call to `SNESSolve()`.

1583: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1584: @*/
1585: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1586: {
1587:   PetscFunctionBegin;
1589:   PetscAssertPointer(nfails, 2);
1590:   *nfails = snes->numLinearSolveFailures;
1591:   PetscFunctionReturn(PETSC_SUCCESS);
1592: }

1594: /*@
1595:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1596:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1598:   Logically Collective

1600:   Input Parameters:
1601: + snes     - `SNES` context
1602: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1604:   Options Database Key:
1605: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1607:   Level: intermediate

1609:   Note:
1610:   By default this is 0; that is `SNES` returns on the first failed linear solve

1612:   Developer Note:
1613:   The options database key is wrong for this function name

1615: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1616: @*/
1617: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1618: {
1619:   PetscFunctionBegin;

1623:   if (maxFails == PETSC_UNLIMITED) {
1624:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1625:   } else {
1626:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1627:     snes->maxLinearSolveFailures = maxFails;
1628:   }
1629:   PetscFunctionReturn(PETSC_SUCCESS);
1630: }

1632: /*@
1633:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1634:   are allowed before `SNES` returns as unsuccessful

1636:   Not Collective

1638:   Input Parameter:
1639: . snes - `SNES` context

1641:   Output Parameter:
1642: . maxFails - maximum of unsuccessful solves allowed

1644:   Level: intermediate

1646:   Note:
1647:   By default this is 1; that is `SNES` returns on the first failed linear solve

1649: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1650: @*/
1651: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1652: {
1653:   PetscFunctionBegin;
1655:   PetscAssertPointer(maxFails, 2);
1656:   *maxFails = snes->maxLinearSolveFailures;
1657:   PetscFunctionReturn(PETSC_SUCCESS);
1658: }

1660: /*@
1661:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1662:   used by the nonlinear solver in the most recent `SNESSolve()`

1664:   Not Collective

1666:   Input Parameter:
1667: . snes - `SNES` context

1669:   Output Parameter:
1670: . lits - number of linear iterations

1672:   Level: intermediate

1674:   Notes:
1675:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1677:   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
1678:   then call `KSPGetIterationNumber()` after the failed solve.

1680: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1681: @*/
1682: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1683: {
1684:   PetscFunctionBegin;
1686:   PetscAssertPointer(lits, 2);
1687:   *lits = snes->linear_its;
1688:   PetscFunctionReturn(PETSC_SUCCESS);
1689: }

1691: /*@
1692:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1693:   are reset every time `SNESSolve()` is called.

1695:   Logically Collective

1697:   Input Parameters:
1698: + snes  - `SNES` context
1699: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1701:   Level: developer

1703: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1704: @*/
1705: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1706: {
1707:   PetscFunctionBegin;
1710:   snes->counters_reset = reset;
1711:   PetscFunctionReturn(PETSC_SUCCESS);
1712: }

1714: /*@
1715:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1717:   Logically Collective

1719:   Input Parameters:
1720: . snes - `SNES` context

1722:   Level: developer

1724:   Note:
1725:   It honors the flag set with `SNESSetCountersReset()`

1727: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1728: @*/
1729: PetscErrorCode SNESResetCounters(SNES snes)
1730: {
1731:   PetscFunctionBegin;
1733:   if (snes->counters_reset) {
1734:     snes->nfuncs      = 0;
1735:     snes->linear_its  = 0;
1736:     snes->numFailures = 0;
1737:   }
1738:   PetscFunctionReturn(PETSC_SUCCESS);
1739: }

1741: /*@
1742:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1744:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1746:   Input Parameters:
1747: + snes - the `SNES` context
1748: - ksp  - the `KSP` context

1750:   Level: developer

1752:   Notes:
1753:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1754:   so this routine is rarely needed.

1756:   The `KSP` object that is already in the `SNES` object has its reference count
1757:   decreased by one when this is called.

1759: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1760: @*/
1761: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1762: {
1763:   PetscFunctionBegin;
1766:   PetscCheckSameComm(snes, 1, ksp, 2);
1767:   PetscCall(PetscObjectReference((PetscObject)ksp));
1768:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1769:   snes->ksp = ksp;
1770:   PetscFunctionReturn(PETSC_SUCCESS);
1771: }

1773: /*@
1774:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1775:   currently contain default values

1777:   Collective

1779:   Input Parameter:
1780: . snes - the `SNES` object

1782:   Level: developer

1784:   Developer Note:
1785:   This is called by all the `SNESCreate_XXX()` routines.

1787: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1788:           `PetscObjectParameterSetDefault()`
1789: @*/
1790: PetscErrorCode SNESParametersInitialize(SNES snes)
1791: {
1792:   PetscObjectParameterSetDefault(snes, max_its, 50);
1793:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1794:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1795:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1796:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1797:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1798:   return PETSC_SUCCESS;
1799: }

1801: /*@
1802:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1804:   Collective

1806:   Input Parameter:
1807: . comm - MPI communicator

1809:   Output Parameter:
1810: . outsnes - the new `SNES` context

1812:   Options Database Keys:
1813: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1814: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1815: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1816: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1818:   Level: beginner

1820:   Developer Notes:
1821:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1822:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1823:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1824:   in `SNESView()`.

1826:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1827:   by help messages about meaningless `SNES` options.

1829:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1831: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1832: @*/
1833: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1834: {
1835:   SNES       snes;
1836:   SNESKSPEW *kctx;

1838:   PetscFunctionBegin;
1839:   PetscAssertPointer(outsnes, 2);
1840:   PetscCall(SNESInitializePackage());

1842:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1843:   snes->ops->converged = SNESConvergedDefault;
1844:   snes->usesksp        = PETSC_TRUE;
1845:   snes->norm           = 0.0;
1846:   snes->xnorm          = 0.0;
1847:   snes->ynorm          = 0.0;
1848:   snes->normschedule   = SNES_NORM_ALWAYS;
1849:   snes->functype       = SNES_FUNCTION_DEFAULT;
1850:   snes->ttol           = 0.0;

1852:   snes->rnorm0               = 0;
1853:   snes->nfuncs               = 0;
1854:   snes->numFailures          = 0;
1855:   snes->maxFailures          = 1;
1856:   snes->linear_its           = 0;
1857:   snes->lagjacobian          = 1;
1858:   snes->jac_iter             = 0;
1859:   snes->lagjac_persist       = PETSC_FALSE;
1860:   snes->lagpreconditioner    = 1;
1861:   snes->pre_iter             = 0;
1862:   snes->lagpre_persist       = PETSC_FALSE;
1863:   snes->numbermonitors       = 0;
1864:   snes->numberreasonviews    = 0;
1865:   snes->data                 = NULL;
1866:   snes->setupcalled          = PETSC_FALSE;
1867:   snes->ksp_ewconv           = PETSC_FALSE;
1868:   snes->nwork                = 0;
1869:   snes->work                 = NULL;
1870:   snes->nvwork               = 0;
1871:   snes->vwork                = NULL;
1872:   snes->conv_hist_len        = 0;
1873:   snes->conv_hist_max        = 0;
1874:   snes->conv_hist            = NULL;
1875:   snes->conv_hist_its        = NULL;
1876:   snes->conv_hist_reset      = PETSC_TRUE;
1877:   snes->counters_reset       = PETSC_TRUE;
1878:   snes->vec_func_init_set    = PETSC_FALSE;
1879:   snes->reason               = SNES_CONVERGED_ITERATING;
1880:   snes->npcside              = PC_RIGHT;
1881:   snes->setfromoptionscalled = 0;

1883:   snes->mf          = PETSC_FALSE;
1884:   snes->mf_operator = PETSC_FALSE;
1885:   snes->mf_version  = 1;

1887:   snes->numLinearSolveFailures = 0;
1888:   snes->maxLinearSolveFailures = 1;

1890:   snes->vizerotolerance     = 1.e-8;
1891:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1893:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1894:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1896:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1897:   PetscCall(PetscNew(&kctx));

1899:   snes->kspconvctx  = kctx;
1900:   kctx->version     = 2;
1901:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1902:                              this was too large for some test cases */
1903:   kctx->rtol_last   = 0.0;
1904:   kctx->rtol_max    = 0.9;
1905:   kctx->gamma       = 1.0;
1906:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1907:   kctx->alpha2      = kctx->alpha;
1908:   kctx->threshold   = 0.1;
1909:   kctx->lresid_last = 0.0;
1910:   kctx->norm_last   = 0.0;

1912:   kctx->rk_last     = 0.0;
1913:   kctx->rk_last_2   = 0.0;
1914:   kctx->rtol_last_2 = 0.0;
1915:   kctx->v4_p1       = 0.1;
1916:   kctx->v4_p2       = 0.4;
1917:   kctx->v4_p3       = 0.7;
1918:   kctx->v4_m1       = 0.8;
1919:   kctx->v4_m2       = 0.5;
1920:   kctx->v4_m3       = 0.1;
1921:   kctx->v4_m4       = 0.5;

1923:   PetscCall(SNESParametersInitialize(snes));
1924:   *outsnes = snes;
1925:   PetscFunctionReturn(PETSC_SUCCESS);
1926: }

1928: /*@C
1929:   SNESSetFunction - Sets the function evaluation routine and function
1930:   vector for use by the `SNES` routines in solving systems of nonlinear
1931:   equations.

1933:   Logically Collective

1935:   Input Parameters:
1936: + snes - the `SNES` context
1937: . r    - vector to store function values, may be `NULL`
1938: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1939: - ctx  - [optional] user-defined context for private data for the
1940:          function evaluation routine (may be `NULL`)

1942:   Level: beginner

1944: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1945: @*/
1946: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, PetscCtx ctx)
1947: {
1948:   DM dm;

1950:   PetscFunctionBegin;
1952:   if (r) {
1954:     PetscCheckSameComm(snes, 1, r, 2);
1955:     PetscCall(PetscObjectReference((PetscObject)r));
1956:     PetscCall(VecDestroy(&snes->vec_func));
1957:     snes->vec_func = r;
1958:   }
1959:   PetscCall(SNESGetDM(snes, &dm));
1960:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1961:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1962:   PetscFunctionReturn(PETSC_SUCCESS);
1963: }

1965: /*@C
1966:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1968:   Logically Collective

1970:   Input Parameters:
1971: + snes - the `SNES` context
1972: - f    - vector to store function value

1974:   Level: developer

1976:   Notes:
1977:   This should not be modified during the solution procedure.

1979:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1981: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1982: @*/
1983: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1984: {
1985:   Vec vec_func;

1987:   PetscFunctionBegin;
1990:   PetscCheckSameComm(snes, 1, f, 2);
1991:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1992:     snes->vec_func_init_set = PETSC_FALSE;
1993:     PetscFunctionReturn(PETSC_SUCCESS);
1994:   }
1995:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
1996:   PetscCall(VecCopy(f, vec_func));

1998:   snes->vec_func_init_set = PETSC_TRUE;
1999:   PetscFunctionReturn(PETSC_SUCCESS);
2000: }

2002: /*@
2003:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2004:   of the `SNES` method, when norms are computed in the solving process

2006:   Logically Collective

2008:   Input Parameters:
2009: + snes         - the `SNES` context
2010: - normschedule - the frequency of norm computation

2012:   Options Database Key:
2013: . -snes_norm_schedule <none, always, initialonly, finalonly, initialfinalonly> - set the schedule

2015:   Level: advanced

2017:   Notes:
2018:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2019:   of the nonlinear function and the taking of its norm at every iteration to
2020:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2021:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2022:   may either be monitored for convergence or not.  As these are often used as nonlinear
2023:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2024:   their solution.

2026: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2027: @*/
2028: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2029: {
2030:   PetscFunctionBegin;
2032:   snes->normschedule = normschedule;
2033:   PetscFunctionReturn(PETSC_SUCCESS);
2034: }

2036: /*@
2037:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2038:   of the `SNES` method.

2040:   Logically Collective

2042:   Input Parameters:
2043: + snes         - the `SNES` context
2044: - normschedule - the type of the norm used

2046:   Level: advanced

2048: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2049: @*/
2050: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2051: {
2052:   PetscFunctionBegin;
2054:   *normschedule = snes->normschedule;
2055:   PetscFunctionReturn(PETSC_SUCCESS);
2056: }

2058: /*@
2059:   SNESSetFunctionNorm - Sets the last computed residual norm.

2061:   Logically Collective

2063:   Input Parameters:
2064: + snes - the `SNES` context
2065: - norm - the value of the norm

2067:   Level: developer

2069: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2070: @*/
2071: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2072: {
2073:   PetscFunctionBegin;
2075:   snes->norm = norm;
2076:   PetscFunctionReturn(PETSC_SUCCESS);
2077: }

2079: /*@
2080:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2082:   Not Collective

2084:   Input Parameter:
2085: . snes - the `SNES` context

2087:   Output Parameter:
2088: . norm - the last computed residual norm

2090:   Level: developer

2092: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2093: @*/
2094: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2095: {
2096:   PetscFunctionBegin;
2098:   PetscAssertPointer(norm, 2);
2099:   *norm = snes->norm;
2100:   PetscFunctionReturn(PETSC_SUCCESS);
2101: }

2103: /*@
2104:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2106:   Not Collective

2108:   Input Parameter:
2109: . snes - the `SNES` context

2111:   Output Parameter:
2112: . ynorm - the last computed update norm

2114:   Level: developer

2116:   Note:
2117:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2119: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2120: @*/
2121: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2122: {
2123:   PetscFunctionBegin;
2125:   PetscAssertPointer(ynorm, 2);
2126:   *ynorm = snes->ynorm;
2127:   PetscFunctionReturn(PETSC_SUCCESS);
2128: }

2130: /*@
2131:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2133:   Not Collective

2135:   Input Parameter:
2136: . snes - the `SNES` context

2138:   Output Parameter:
2139: . xnorm - the last computed solution norm

2141:   Level: developer

2143: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2144: @*/
2145: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2146: {
2147:   PetscFunctionBegin;
2149:   PetscAssertPointer(xnorm, 2);
2150:   *xnorm = snes->xnorm;
2151:   PetscFunctionReturn(PETSC_SUCCESS);
2152: }

2154: /*@
2155:   SNESSetFunctionType - Sets the `SNESFunctionType`
2156:   of the `SNES` method.

2158:   Logically Collective

2160:   Input Parameters:
2161: + snes - the `SNES` context
2162: - type - the function type

2164:   Level: developer

2166:   Values of the function type\:
2167: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2168: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2169: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2171:   Note:
2172:   Different `SNESType`s use this value in different ways

2174: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2175: @*/
2176: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2177: {
2178:   PetscFunctionBegin;
2180:   snes->functype = type;
2181:   PetscFunctionReturn(PETSC_SUCCESS);
2182: }

2184: /*@
2185:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2186:   of the SNES method.

2188:   Logically Collective

2190:   Input Parameters:
2191: + snes - the `SNES` context
2192: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2194:   Level: advanced

2196: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2197: @*/
2198: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2199: {
2200:   PetscFunctionBegin;
2202:   *type = snes->functype;
2203:   PetscFunctionReturn(PETSC_SUCCESS);
2204: }

2206: /*@C
2207:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2208:   use with composed nonlinear solvers.

2210:   Input Parameters:
2211: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2212: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2213: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2215:   Level: intermediate

2217:   Note:
2218:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2219:   a problem appropriate update to the solution, particularly `SNESFAS`.

2221: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2222: @*/
2223: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, PetscCtx ctx)
2224: {
2225:   DM dm;

2227:   PetscFunctionBegin;
2229:   PetscCall(SNESGetDM(snes, &dm));
2230:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2231:   PetscFunctionReturn(PETSC_SUCCESS);
2232: }

2234: /*
2235:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2236:    changed during the KSPSolve()
2237: */
2238: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2239: {
2240:   DM     dm;
2241:   DMSNES sdm;

2243:   PetscFunctionBegin;
2244:   PetscCall(SNESGetDM(snes, &dm));
2245:   PetscCall(DMGetDMSNES(dm, &sdm));
2246:   /*  A(x)*x - b(x) */
2247:   if (sdm->ops->computepfunction) {
2248:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2249:     PetscCall(VecScale(f, -1.0));
2250:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2251:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2252:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2253:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2254:   } else {
2255:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2256:     PetscCall(MatMult(snes->picard, x, f));
2257:   }
2258:   PetscFunctionReturn(PETSC_SUCCESS);
2259: }

2261: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, PetscCtx ctx)
2262: {
2263:   DM     dm;
2264:   DMSNES sdm;

2266:   PetscFunctionBegin;
2267:   PetscCall(SNESGetDM(snes, &dm));
2268:   PetscCall(DMGetDMSNES(dm, &sdm));
2269:   /*  A(x)*x - b(x) */
2270:   if (sdm->ops->computepfunction) {
2271:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2272:     PetscCall(VecScale(f, -1.0));
2273:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2274:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2275:   } else {
2276:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2277:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2278:   }
2279:   PetscFunctionReturn(PETSC_SUCCESS);
2280: }

2282: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, PetscCtx ctx)
2283: {
2284:   PetscFunctionBegin;
2285:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2286:   /* must assembly if matrix-free to get the last SNES solution */
2287:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2288:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2289:   PetscFunctionReturn(PETSC_SUCCESS);
2290: }

2292: /*@C
2293:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2295:   Logically Collective

2297:   Input Parameters:
2298: + snes - the `SNES` context
2299: . r    - vector to store function values, may be `NULL`
2300: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2301: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2302: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2303: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2304: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2306:   Level: intermediate

2308:   Notes:
2309:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2310:   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.

2312:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2314:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2315:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2317:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2319:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2320:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2322:   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
2323:   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
2324:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2326:   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
2327:   $A(x^{n})$ is used to build the preconditioner

2329:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2331:   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
2332:   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
2333:   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`.
2334:   See the comment in src/snes/tutorials/ex15.c.

2336: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2337:           `SNESFunctionFn`, `SNESJacobianFn`
2338: @*/
2339: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
2340: {
2341:   DM dm;

2343:   PetscFunctionBegin;
2345:   PetscCall(SNESGetDM(snes, &dm));
2346:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2347:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2348:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2349:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2350:   PetscFunctionReturn(PETSC_SUCCESS);
2351: }

2353: /*@C
2354:   SNESGetPicard - Returns the context for the Picard iteration

2356:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2358:   Input Parameter:
2359: . snes - the `SNES` context

2361:   Output Parameters:
2362: + r    - the function (or `NULL`)
2363: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2364: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2365: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2366: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2367: - ctx  - the function context (or `NULL`)

2369:   Level: advanced

2371: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2372: @*/
2373: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
2374: {
2375:   DM dm;

2377:   PetscFunctionBegin;
2379:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2380:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2381:   PetscCall(SNESGetDM(snes, &dm));
2382:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2383:   PetscFunctionReturn(PETSC_SUCCESS);
2384: }

2386: /*@C
2387:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2389:   Logically Collective

2391:   Input Parameters:
2392: + snes - the `SNES` context
2393: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2394: - ctx  - [optional] user-defined context for private data for the
2395:          function evaluation routine (may be `NULL`)

2397:   Level: intermediate

2399: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2400: @*/
2401: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, PetscCtx ctx)
2402: {
2403:   PetscFunctionBegin;
2405:   if (func) snes->ops->computeinitialguess = func;
2406:   if (ctx) snes->initialguessP = ctx;
2407:   PetscFunctionReturn(PETSC_SUCCESS);
2408: }

2410: /*@C
2411:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2412:   it assumes a zero right-hand side.

2414:   Logically Collective

2416:   Input Parameter:
2417: . snes - the `SNES` context

2419:   Output Parameter:
2420: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2422:   Level: intermediate

2424: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2425: @*/
2426: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2427: {
2428:   PetscFunctionBegin;
2430:   PetscAssertPointer(rhs, 2);
2431:   *rhs = snes->vec_rhs;
2432:   PetscFunctionReturn(PETSC_SUCCESS);
2433: }

2435: /*@
2436:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2438:   Collective

2440:   Input Parameters:
2441: + snes - the `SNES` context
2442: - x    - input vector

2444:   Output Parameter:
2445: . f - function vector, as set by `SNESSetFunction()`

2447:   Level: developer

2449:   Notes:
2450:   `SNESComputeFunction()` is typically used within nonlinear solvers
2451:   implementations, so users would not generally call this routine themselves.

2453:   When solving for $F(x) = b$, this routine computes $f = F(x) - b$.

2455:   This function usually appears in the pattern.
2456: .vb
2457:   SNESComputeFunction(snes, x, f);
2458:   VecNorm(f, &fnorm);
2459:   SNESCheckFunctionDomainError(snes, fnorm); or SNESLineSearchCheckFunctionDomainError(ls, fnorm);
2460: .ve
2461:   to collectively handle the use of `SNESSetFunctionDomainError()` in the provided callback function.

2463: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`, `SNESSetFunctionDomainError()`
2464: @*/
2465: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec f)
2466: {
2467:   DM     dm;
2468:   DMSNES sdm;

2470:   PetscFunctionBegin;
2474:   PetscCheckSameComm(snes, 1, x, 2);
2475:   PetscCheckSameComm(snes, 1, f, 3);
2476:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2478:   PetscCall(SNESGetDM(snes, &dm));
2479:   PetscCall(DMGetDMSNES(dm, &sdm));
2480:   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().");
2481:   if (sdm->ops->computefunction) {
2482:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, f, 0));
2483:     PetscCall(VecLockReadPush(x));
2484:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2485:     snes->functiondomainerror = PETSC_FALSE;
2486:     {
2487:       void           *ctx;
2488:       SNESFunctionFn *computefunction;
2489:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2490:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, f, ctx));
2491:     }
2492:     PetscCall(VecLockReadPop(x));
2493:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, f, 0));
2494:   } else /* if (snes->vec_rhs) */ {
2495:     PetscCall(MatMult(snes->jacobian, x, f));
2496:   }
2497:   if (snes->vec_rhs) PetscCall(VecAXPY(f, -1.0, snes->vec_rhs));
2498:   snes->nfuncs++;
2499:   /*
2500:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2501:      propagate the value to all processes
2502:   */
2503:   PetscCall(VecFlag(f, snes->functiondomainerror));
2504:   PetscFunctionReturn(PETSC_SUCCESS);
2505: }

2507: /*@
2508:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2510:   Collective

2512:   Input Parameters:
2513: + snes - the `SNES` context
2514: - x    - input vector

2516:   Output Parameter:
2517: . y - output vector

2519:   Level: developer

2521:   Notes:
2522:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2523:   so users would not generally call this routine themselves.

2525:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2526:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2527:   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.

2529: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2530: @*/
2531: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2532: {
2533:   DM     dm;
2534:   DMSNES sdm;

2536:   PetscFunctionBegin;
2540:   PetscCheckSameComm(snes, 1, x, 2);
2541:   PetscCheckSameComm(snes, 1, y, 3);
2542:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2544:   PetscCall(SNESGetDM(snes, &dm));
2545:   PetscCall(DMGetDMSNES(dm, &sdm));
2546:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2547:   PetscCall(VecLockReadPush(x));
2548:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2549:   snes->functiondomainerror = PETSC_FALSE;
2550:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2551:   PetscCall(VecLockReadPop(x));
2552:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2553:   snes->nfuncs++;
2554:   /*
2555:      domainerror might not be set on all processes; so we tag vector locally with infinity and the next inner product or norm will
2556:      propagate the value to all processes
2557:   */
2558:   PetscCall(VecFlag(y, snes->functiondomainerror));
2559:   PetscFunctionReturn(PETSC_SUCCESS);
2560: }

2562: /*@
2563:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2565:   Collective

2567:   Input Parameters:
2568: + snes - the `SNES` context
2569: . x    - input vector
2570: - b    - rhs vector

2572:   Output Parameter:
2573: . x - new solution vector

2575:   Level: developer

2577:   Note:
2578:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2579:   implementations, so most users would not generally call this routine
2580:   themselves.

2582: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2583: @*/
2584: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2585: {
2586:   DM     dm;
2587:   DMSNES sdm;

2589:   PetscFunctionBegin;
2593:   PetscCheckSameComm(snes, 1, x, 3);
2594:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2595:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2596:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2597:   PetscCall(SNESGetDM(snes, &dm));
2598:   PetscCall(DMGetDMSNES(dm, &sdm));
2599:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2600:   if (b) PetscCall(VecLockReadPush(b));
2601:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2602:   if (b) PetscCall(VecLockReadPop(b));
2603:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2604:   PetscFunctionReturn(PETSC_SUCCESS);
2605: }

2607: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2608: {
2609:   Vec          X;
2610:   PetscScalar *g;
2611:   PetscReal    f, f2;
2612:   PetscInt     low, high, N, i;
2613:   PetscBool    flg;
2614:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2616:   PetscFunctionBegin;
2617:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2618:   PetscCall(VecDuplicate(Xin, &X));
2619:   PetscCall(VecCopy(Xin, X));
2620:   PetscCall(VecGetSize(X, &N));
2621:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2622:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2623:   PetscCall(VecGetArray(G, &g));
2624:   for (i = 0; i < N; i++) {
2625:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2626:     PetscCall(VecAssemblyBegin(X));
2627:     PetscCall(VecAssemblyEnd(X));
2628:     PetscCall(SNESComputeObjective(snes, X, &f));
2629:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2630:     PetscCall(VecAssemblyBegin(X));
2631:     PetscCall(VecAssemblyEnd(X));
2632:     PetscCall(SNESComputeObjective(snes, X, &f2));
2633:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2634:     PetscCall(VecAssemblyBegin(X));
2635:     PetscCall(VecAssemblyEnd(X));
2636:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2637:   }
2638:   PetscCall(VecRestoreArray(G, &g));
2639:   PetscCall(VecDestroy(&X));
2640:   PetscFunctionReturn(PETSC_SUCCESS);
2641: }

2643: /*@
2644:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2646:   Collective

2648:   Input Parameter:
2649: . snes - the `SNES` context

2651:   Options Database Keys:
2652: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2653: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2655:   Level: developer

2657: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2658: @*/
2659: PetscErrorCode SNESTestFunction(SNES snes)
2660: {
2661:   Vec               x, g1, g2, g3;
2662:   PetscBool         complete_print = PETSC_FALSE;
2663:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2664:   PetscScalar       dot;
2665:   MPI_Comm          comm;
2666:   PetscViewer       viewer, mviewer;
2667:   PetscViewerFormat format;
2668:   PetscInt          tabs;
2669:   static PetscBool  directionsprinted = PETSC_FALSE;
2670:   SNESObjectiveFn  *objective;

2672:   PetscFunctionBegin;
2673:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2674:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2676:   PetscObjectOptionsBegin((PetscObject)snes);
2677:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2678:   PetscOptionsEnd();

2680:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2681:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2682:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2683:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2684:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2685:   if (!complete_print && !directionsprinted) {
2686:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2687:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2688:   }
2689:   if (!directionsprinted) {
2690:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2691:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2692:     directionsprinted = PETSC_TRUE;
2693:   }
2694:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2696:   PetscCall(SNESGetSolution(snes, &x));
2697:   PetscCall(VecDuplicate(x, &g1));
2698:   PetscCall(VecDuplicate(x, &g2));
2699:   PetscCall(VecDuplicate(x, &g3));
2700:   PetscCall(SNESComputeFunction(snes, x, g1)); /* does not handle use of SNESSetFunctionDomainError() corrrectly */
2701:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2703:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2704:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2705:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2706:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2707:   PetscCall(VecDot(g1, g2, &dot));
2708:   PetscCall(VecCopy(g1, g3));
2709:   PetscCall(VecAXPY(g3, -1.0, g2));
2710:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2711:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2712:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2713:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2714:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2716:   if (complete_print) {
2717:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2718:     PetscCall(VecView(g1, mviewer));
2719:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2720:     PetscCall(VecView(g2, mviewer));
2721:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2722:     PetscCall(VecView(g3, mviewer));
2723:   }
2724:   PetscCall(VecDestroy(&g1));
2725:   PetscCall(VecDestroy(&g2));
2726:   PetscCall(VecDestroy(&g3));

2728:   if (complete_print) {
2729:     PetscCall(PetscViewerPopFormat(mviewer));
2730:     PetscCall(PetscViewerDestroy(&mviewer));
2731:   }
2732:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2733:   PetscFunctionReturn(PETSC_SUCCESS);
2734: }

2736: /*@
2737:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2739:   Collective

2741:   Input Parameter:
2742: . snes - the `SNES` context

2744:   Output Parameters:
2745: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2746: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2748:   Options Database Keys:
2749: + -snes_test_jacobian <optional 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.
2750: - -snes_test_jacobian_view                 - display the user provided Jacobian, the finite difference Jacobian and the difference

2752:   Level: developer

2754:   Note:
2755:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2757: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2758: @*/
2759: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2760: {
2761:   Mat               A, B, C, D, jacobian;
2762:   Vec               x = snes->vec_sol, f;
2763:   PetscReal         nrm, gnorm;
2764:   PetscReal         threshold = 1.e-5;
2765:   MatType           mattype;
2766:   PetscInt          m, n, M, N;
2767:   void             *functx;
2768:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2769:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2770:   PetscViewer       viewer, mviewer;
2771:   MPI_Comm          comm;
2772:   PetscInt          tabs;
2773:   static PetscBool  directionsprinted = PETSC_FALSE;
2774:   PetscViewerFormat format;

2776:   PetscFunctionBegin;
2777:   PetscObjectOptionsBegin((PetscObject)snes);
2778:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2779:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2780:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2781:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2782:   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));
2783:   PetscOptionsEnd();

2785:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2786:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2787:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2788:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2789:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2790:   if (!complete_print && !silent && !directionsprinted) {
2791:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2792:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2793:   }
2794:   if (!directionsprinted && !silent) {
2795:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2796:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2797:     directionsprinted = PETSC_TRUE;
2798:   }
2799:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2801:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2802:   if (!flg) jacobian = snes->jacobian;
2803:   else jacobian = snes->jacobian_pre;

2805:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2806:   else PetscCall(PetscObjectReference((PetscObject)x));
2807:   PetscCall(VecDuplicate(x, &f));

2809:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2810:   PetscCall(SNESComputeFunction(snes, x, f));
2811:   PetscCall(VecDestroy(&f));
2812:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2813:   while (jacobian) {
2814:     Mat JT = NULL, Jsave = NULL;

2816:     if (istranspose) {
2817:       PetscCall(MatCreateTranspose(jacobian, &JT));
2818:       Jsave    = jacobian;
2819:       jacobian = JT;
2820:     }
2821:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2822:     if (flg) {
2823:       A = jacobian;
2824:       PetscCall(PetscObjectReference((PetscObject)A));
2825:     } else {
2826:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2827:     }

2829:     PetscCall(MatGetType(A, &mattype));
2830:     PetscCall(MatGetSize(A, &M, &N));
2831:     PetscCall(MatGetLocalSize(A, &m, &n));
2832:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2833:     PetscCall(MatSetType(B, mattype));
2834:     PetscCall(MatSetSizes(B, m, n, M, N));
2835:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2836:     PetscCall(MatSetUp(B));
2837:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2839:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2840:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2842:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2843:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2844:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2845:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2846:     PetscCall(MatDestroy(&D));
2847:     if (!gnorm) gnorm = 1; /* just in case */
2848:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2849:     if (complete_print) {
2850:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2851:       PetscCall(MatView(A, mviewer));
2852:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2853:       PetscCall(MatView(B, mviewer));
2854:     }

2856:     if (threshold_print || complete_print) {
2857:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2858:       PetscScalar       *cvals;
2859:       const PetscInt    *bcols;
2860:       const PetscScalar *bvals;

2862:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2863:       PetscCall(MatSetType(C, mattype));
2864:       PetscCall(MatSetSizes(C, m, n, M, N));
2865:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2866:       PetscCall(MatSetUp(C));
2867:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2869:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2870:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2872:       for (row = Istart; row < Iend; row++) {
2873:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2874:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2875:         for (j = 0, cncols = 0; j < bncols; j++) {
2876:           if (PetscAbsScalar(bvals[j]) > threshold) {
2877:             ccols[cncols] = bcols[j];
2878:             cvals[cncols] = bvals[j];
2879:             cncols += 1;
2880:           }
2881:         }
2882:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2883:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2884:         PetscCall(PetscFree2(ccols, cvals));
2885:       }
2886:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2887:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2888:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2889:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2890:       PetscCall(MatDestroy(&C));
2891:     }
2892:     PetscCall(MatDestroy(&A));
2893:     PetscCall(MatDestroy(&B));
2894:     PetscCall(MatDestroy(&JT));
2895:     if (Jsave) jacobian = Jsave;
2896:     if (jacobian != snes->jacobian_pre) {
2897:       jacobian = snes->jacobian_pre;
2898:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2899:     } else jacobian = NULL;
2900:   }
2901:   PetscCall(VecDestroy(&x));
2902:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2903:   if (mviewer) PetscCall(PetscViewerDestroy(&mviewer));
2904:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2906:   if (Jnorm) *Jnorm = gnorm;
2907:   if (diffNorm) *diffNorm = nrm;
2908:   PetscFunctionReturn(PETSC_SUCCESS);
2909: }

2911: /*@
2912:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2914:   Collective

2916:   Input Parameters:
2917: + snes - the `SNES` context
2918: - X    - input vector

2920:   Output Parameters:
2921: + A - Jacobian matrix
2922: - B - optional matrix for building the preconditioner, usually the same as `A`

2924:   Options Database Keys:
2925: + -snes_lag_preconditioner <lag>           - how often to rebuild preconditioner
2926: . -snes_lag_jacobian <lag>                 - how often to rebuild Jacobian
2927: . -snes_test_jacobian <optional 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.
2928: . -snes_test_jacobian_view                 - 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
2929: . -snes_compare_explicit                   - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2930: . -snes_compare_explicit_draw              - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2931: . -snes_compare_explicit_contour           - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2932: . -snes_compare_operator                   - Make the comparison options above use the operator instead of the matrix used to construct the preconditioner
2933: . -snes_compare_coloring                   - Compute the finite difference Jacobian using coloring and display norms of difference
2934: . -snes_compare_coloring_display           - Compute the finite difference Jacobian using coloring and display verbose differences
2935: . -snes_compare_coloring_threshold         - Display only those matrix entries that differ by more than a given threshold
2936: . -snes_compare_coloring_threshold_atol    - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2937: . -snes_compare_coloring_threshold_rtol    - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2938: . -snes_compare_coloring_draw              - Compute the finite difference Jacobian using coloring and draw differences
2939: - -snes_compare_coloring_draw_contour      - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2941:   Level: developer

2943:   Note:
2944:   Most users should not need to explicitly call this routine, as it
2945:   is used internally within the nonlinear solvers.

2947:   Developer Note:
2948:   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
2949:   with the `SNESType` of test that has been removed.

2951: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
2952:           `SNESSetJacobianDomainError()`, `SNESCheckJacobianDomainError()`, `SNESSetCheckJacobianDomainError()`
2953: @*/
2954: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2955: {
2956:   PetscBool flag;
2957:   DM        dm;
2958:   DMSNES    sdm;
2959:   KSP       ksp;

2961:   PetscFunctionBegin;
2964:   PetscCheckSameComm(snes, 1, X, 2);
2965:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2966:   PetscCall(SNESGetDM(snes, &dm));
2967:   PetscCall(DMGetDMSNES(dm, &sdm));

2969:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2970:   if (snes->lagjacobian == -2) {
2971:     snes->lagjacobian = -1;

2973:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2974:   } else if (snes->lagjacobian == -1) {
2975:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2976:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2977:     if (flag) {
2978:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2979:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2980:     }
2981:     PetscFunctionReturn(PETSC_SUCCESS);
2982:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2983:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2984:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2985:     if (flag) {
2986:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2987:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2988:     }
2989:     PetscFunctionReturn(PETSC_SUCCESS);
2990:   }
2991:   if (snes->npc && snes->npcside == PC_LEFT) {
2992:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2993:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2994:     PetscFunctionReturn(PETSC_SUCCESS);
2995:   }

2997:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2998:   PetscCall(VecLockReadPush(X));
2999:   {
3000:     void           *ctx;
3001:     SNESJacobianFn *J;
3002:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
3003:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
3004:   }
3005:   PetscCall(VecLockReadPop(X));
3006:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

3008:   /* attach latest linearization point to the matrix used to construct the preconditioner */
3009:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

3011:   /* the next line ensures that snes->ksp exists */
3012:   PetscCall(SNESGetKSP(snes, &ksp));
3013:   if (snes->lagpreconditioner == -2) {
3014:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3015:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3016:     snes->lagpreconditioner = -1;
3017:   } else if (snes->lagpreconditioner == -1) {
3018:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3019:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3020:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3021:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3022:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3023:   } else {
3024:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3025:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3026:   }

3028:   /* monkey business to allow testing Jacobians in multilevel solvers.
3029:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3030:   {
3031:     Vec xsave            = snes->vec_sol;
3032:     Mat jacobiansave     = snes->jacobian;
3033:     Mat jacobian_presave = snes->jacobian_pre;

3035:     snes->vec_sol      = X;
3036:     snes->jacobian     = A;
3037:     snes->jacobian_pre = B;
3038:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3039:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3041:     snes->vec_sol      = xsave;
3042:     snes->jacobian     = jacobiansave;
3043:     snes->jacobian_pre = jacobian_presave;
3044:   }

3046:   {
3047:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3048:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3049:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3050:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3051:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3052:     if (flag || flag_draw || flag_contour) {
3053:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3054:       PetscViewer vdraw, vstdout;
3055:       PetscBool   flg;
3056:       if (flag_operator) {
3057:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3058:         Bexp = Bexp_mine;
3059:       } else {
3060:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3061:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
3062:         if (flg) Bexp = B;
3063:         else {
3064:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3065:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3066:           Bexp = Bexp_mine;
3067:         }
3068:       }
3069:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3070:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3071:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3072:       if (flag_draw || flag_contour) {
3073:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3074:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3075:       } else vdraw = NULL;
3076:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3077:       if (flag) PetscCall(MatView(Bexp, vstdout));
3078:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3079:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3080:       if (flag) PetscCall(MatView(FDexp, vstdout));
3081:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3082:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3083:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3084:       if (flag) PetscCall(MatView(FDexp, vstdout));
3085:       if (vdraw) { /* Always use contour for the difference */
3086:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3087:         PetscCall(MatView(FDexp, vdraw));
3088:         PetscCall(PetscViewerPopFormat(vdraw));
3089:       }
3090:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3091:       PetscCall(PetscViewerDestroy(&vdraw));
3092:       PetscCall(MatDestroy(&Bexp_mine));
3093:       PetscCall(MatDestroy(&FDexp));
3094:     }
3095:   }
3096:   {
3097:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3098:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3099:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3100:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3101:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3102:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3103:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3104:     if (flag_threshold) {
3105:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3106:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3107:     }
3108:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3109:       Mat             Bfd;
3110:       PetscViewer     vdraw, vstdout;
3111:       MatColoring     coloring;
3112:       ISColoring      iscoloring;
3113:       MatFDColoring   matfdcoloring;
3114:       SNESFunctionFn *func;
3115:       void           *funcctx;
3116:       PetscReal       norm1, norm2, normmax;

3118:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3119:       PetscCall(MatColoringCreate(Bfd, &coloring));
3120:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3121:       PetscCall(MatColoringSetFromOptions(coloring));
3122:       PetscCall(MatColoringApply(coloring, &iscoloring));
3123:       PetscCall(MatColoringDestroy(&coloring));
3124:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3125:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3126:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3127:       PetscCall(ISColoringDestroy(&iscoloring));

3129:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3130:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3131:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3132:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3133:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3134:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3135:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3136:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3138:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3139:       if (flag_draw || flag_contour) {
3140:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3141:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3142:       } else vdraw = NULL;
3143:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3144:       if (flag_display) PetscCall(MatView(B, vstdout));
3145:       if (vdraw) PetscCall(MatView(B, vdraw));
3146:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3147:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3148:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3149:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3150:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3151:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3152:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3153:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3154:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3155:       if (vdraw) { /* Always use contour for the difference */
3156:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3157:         PetscCall(MatView(Bfd, vdraw));
3158:         PetscCall(PetscViewerPopFormat(vdraw));
3159:       }
3160:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3162:       if (flag_threshold) {
3163:         PetscInt bs, rstart, rend, i;
3164:         PetscCall(MatGetBlockSize(B, &bs));
3165:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3166:         for (i = rstart; i < rend; i++) {
3167:           const PetscScalar *ba, *ca;
3168:           const PetscInt    *bj, *cj;
3169:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3170:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3171:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3172:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3173:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3174:           for (j = 0; j < bn; j++) {
3175:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3176:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3177:               maxentrycol = bj[j];
3178:               maxentry    = PetscRealPart(ba[j]);
3179:             }
3180:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3181:               maxdiffcol = bj[j];
3182:               maxdiff    = PetscRealPart(ca[j]);
3183:             }
3184:             if (rdiff > maxrdiff) {
3185:               maxrdiffcol = bj[j];
3186:               maxrdiff    = rdiff;
3187:             }
3188:           }
3189:           if (maxrdiff > 1) {
3190:             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));
3191:             for (j = 0; j < bn; j++) {
3192:               PetscReal rdiff;
3193:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3194:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3195:             }
3196:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3197:           }
3198:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3199:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3200:         }
3201:       }
3202:       PetscCall(PetscViewerDestroy(&vdraw));
3203:       PetscCall(MatDestroy(&Bfd));
3204:     }
3205:   }
3206:   PetscFunctionReturn(PETSC_SUCCESS);
3207: }

3209: /*@C
3210:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3211:   location to store the matrix.

3213:   Logically Collective

3215:   Input Parameters:
3216: + snes - the `SNES` context
3217: . Amat - the matrix that defines the (approximate) Jacobian
3218: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3219: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3220: - ctx  - [optional] user-defined context for private data for the
3221:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3223:   Level: beginner

3225:   Notes:
3226:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3227:   each matrix.

3229:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3230:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3232:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3233:   must be a `MatFDColoring`.

3235:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3236:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3238: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3239:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3240: @*/
3241: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, PetscCtx ctx)
3242: {
3243:   DM dm;

3245:   PetscFunctionBegin;
3249:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3250:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3251:   PetscCall(SNESGetDM(snes, &dm));
3252:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3253:   if (Amat) {
3254:     PetscCall(PetscObjectReference((PetscObject)Amat));
3255:     PetscCall(MatDestroy(&snes->jacobian));

3257:     snes->jacobian = Amat;
3258:   }
3259:   if (Pmat) {
3260:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3261:     PetscCall(MatDestroy(&snes->jacobian_pre));

3263:     snes->jacobian_pre = Pmat;
3264:   }
3265:   PetscFunctionReturn(PETSC_SUCCESS);
3266: }

3268: /*@C
3269:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3270:   provided context for evaluating the Jacobian.

3272:   Not Collective, but `Mat` object will be parallel if `SNES` is

3274:   Input Parameter:
3275: . snes - the nonlinear solver context

3277:   Output Parameters:
3278: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3279: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3280: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3281: - ctx  - location to stash Jacobian ctx (or `NULL`)

3283:   Level: advanced

3285: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3286: @*/
3287: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, PetscCtxRt ctx)
3288: {
3289:   DM dm;

3291:   PetscFunctionBegin;
3293:   if (Amat) *Amat = snes->jacobian;
3294:   if (Pmat) *Pmat = snes->jacobian_pre;
3295:   PetscCall(SNESGetDM(snes, &dm));
3296:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3297:   PetscFunctionReturn(PETSC_SUCCESS);
3298: }

3300: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3301: {
3302:   DM     dm;
3303:   DMSNES sdm;

3305:   PetscFunctionBegin;
3306:   PetscCall(SNESGetDM(snes, &dm));
3307:   PetscCall(DMGetDMSNES(dm, &sdm));
3308:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3309:     DM        dm;
3310:     PetscBool isdense, ismf;

3312:     PetscCall(SNESGetDM(snes, &dm));
3313:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3314:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3315:     if (isdense) {
3316:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3317:     } else if (!ismf) {
3318:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3319:     }
3320:   }
3321:   PetscFunctionReturn(PETSC_SUCCESS);
3322: }

3324: /*@
3325:   SNESSetUp - Sets up the internal data structures for the later use
3326:   of a nonlinear solver `SNESSolve()`.

3328:   Collective

3330:   Input Parameter:
3331: . snes - the `SNES` context

3333:   Level: advanced

3335:   Note:
3336:   For basic use of the `SNES` solvers the user does not need to explicitly call
3337:   `SNESSetUp()`, since these actions will automatically occur during
3338:   the call to `SNESSolve()`.  However, if one wishes to control this
3339:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3340:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3342: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3343: @*/
3344: PetscErrorCode SNESSetUp(SNES snes)
3345: {
3346:   DM             dm;
3347:   DMSNES         sdm;
3348:   SNESLineSearch linesearch, pclinesearch;
3349:   void          *lsprectx, *lspostctx;
3350:   PetscBool      mf_operator, mf;
3351:   Vec            f, fpc;
3352:   void          *funcctx;
3353:   void          *jacctx, *appctx;
3354:   Mat            j, jpre;
3355:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3356:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3357:   SNESFunctionFn *func;
3358:   SNESJacobianFn *jac;

3360:   PetscFunctionBegin;
3362:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3363:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3365:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3367:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3369:   PetscCall(SNESGetDM(snes, &dm));
3370:   PetscCall(DMGetDMSNES(dm, &sdm));
3371:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3373:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3375:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3377:   if (snes->linesearch) {
3378:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3379:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3380:   }

3382:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3383:   if (snes->npc && snes->npcside == PC_LEFT) {
3384:     snes->mf          = PETSC_TRUE;
3385:     snes->mf_operator = PETSC_FALSE;
3386:   }

3388:   if (snes->npc) {
3389:     /* copy the DM over */
3390:     PetscCall(SNESGetDM(snes, &dm));
3391:     PetscCall(SNESSetDM(snes->npc, dm));

3393:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3394:     PetscCall(VecDuplicate(f, &fpc));
3395:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3396:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3397:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3398:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3399:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3400:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3401:     PetscCall(VecDestroy(&fpc));

3403:     /* copy the function pointers over */
3404:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3406:     /* default to 1 iteration */
3407:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3408:     if (snes->npcside == PC_RIGHT) {
3409:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3410:     } else {
3411:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3412:     }
3413:     PetscCall(SNESSetFromOptions(snes->npc));

3415:     /* copy the line search context over */
3416:     if (snes->linesearch && snes->npc->linesearch) {
3417:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3418:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3419:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3420:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3421:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3422:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3423:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3424:     }
3425:   }
3426:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3427:   if (snes->ops->ctxcompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->ctxcompute)(snes, &snes->ctx));

3429:   snes->jac_iter = 0;
3430:   snes->pre_iter = 0;

3432:   PetscTryTypeMethod(snes, setup);

3434:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3436:   if (snes->npc && snes->npcside == PC_LEFT) {
3437:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3438:       if (snes->linesearch) {
3439:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3440:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3441:       }
3442:     }
3443:   }
3444:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3445:   snes->setupcalled = PETSC_TRUE;
3446:   PetscFunctionReturn(PETSC_SUCCESS);
3447: }

3449: /*@
3450:   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

3452:   Collective

3454:   Input Parameter:
3455: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3457:   Level: intermediate

3459:   Notes:
3460:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3462:   Call this if you wish to reuse a `SNES` but with different size vectors

3464:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3466: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3467: @*/
3468: PetscErrorCode SNESReset(SNES snes)
3469: {
3470:   PetscFunctionBegin;
3472:   if (snes->ops->ctxdestroy && snes->ctx) {
3473:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3474:     snes->ctx = NULL;
3475:   }
3476:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3478:   PetscTryTypeMethod(snes, reset);
3479:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3481:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3483:   PetscCall(VecDestroy(&snes->vec_rhs));
3484:   PetscCall(VecDestroy(&snes->vec_sol));
3485:   PetscCall(VecDestroy(&snes->vec_sol_update));
3486:   PetscCall(VecDestroy(&snes->vec_func));
3487:   PetscCall(MatDestroy(&snes->jacobian));
3488:   PetscCall(MatDestroy(&snes->jacobian_pre));
3489:   PetscCall(MatDestroy(&snes->picard));
3490:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3491:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3493:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3495:   snes->nwork = snes->nvwork = 0;
3496:   snes->setupcalled          = PETSC_FALSE;
3497:   PetscFunctionReturn(PETSC_SUCCESS);
3498: }

3500: /*@
3501:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3502:   removes the default viewer.

3504:   Collective

3506:   Input Parameter:
3507: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3509:   Level: intermediate

3511: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3512: @*/
3513: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3514: {
3515:   PetscInt i;

3517:   PetscFunctionBegin;
3519:   for (i = 0; i < snes->numberreasonviews; i++) {
3520:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3521:   }
3522:   snes->numberreasonviews = 0;
3523:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3524:   PetscFunctionReturn(PETSC_SUCCESS);
3525: }

3527: /*@
3528:   SNESDestroy - Destroys the nonlinear solver context that was created
3529:   with `SNESCreate()`.

3531:   Collective

3533:   Input Parameter:
3534: . snes - the `SNES` context

3536:   Level: beginner

3538: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3539: @*/
3540: PetscErrorCode SNESDestroy(SNES *snes)
3541: {
3542:   DM dm;

3544:   PetscFunctionBegin;
3545:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3547:   if (--((PetscObject)*snes)->refct > 0) {
3548:     *snes = NULL;
3549:     PetscFunctionReturn(PETSC_SUCCESS);
3550:   }

3552:   PetscCall(SNESReset(*snes));
3553:   PetscCall(SNESDestroy(&(*snes)->npc));

3555:   /* if memory was published with SAWs then destroy it */
3556:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3557:   PetscTryTypeMethod(*snes, destroy);

3559:   dm = (*snes)->dm;
3560:   while (dm) {
3561:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3562:     PetscCall(DMGetCoarseDM(dm, &dm));
3563:   }

3565:   PetscCall(DMDestroy(&(*snes)->dm));
3566:   PetscCall(KSPDestroy(&(*snes)->ksp));
3567:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3569:   PetscCall(PetscFree((*snes)->kspconvctx));
3570:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)(&(*snes)->cnvP));
3571:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3572:   PetscCall(SNESMonitorCancel(*snes));
3573:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3574:   PetscCall(PetscHeaderDestroy(snes));
3575:   PetscFunctionReturn(PETSC_SUCCESS);
3576: }

3578: /* ----------- Routines to set solver parameters ---------- */

3580: /*@
3581:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3583:   Logically Collective

3585:   Input Parameters:
3586: + snes - the `SNES` context
3587: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3588:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3590:   Options Database Keys:
3591: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3592: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3593: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3594: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3596:   Level: intermediate

3598:   Notes:
3599:   The default is 1

3601:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3603:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3605: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3606:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3607: @*/
3608: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3609: {
3610:   PetscFunctionBegin;
3612:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3613:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3615:   snes->lagpreconditioner = lag;
3616:   PetscFunctionReturn(PETSC_SUCCESS);
3617: }

3619: /*@
3620:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3622:   Logically Collective

3624:   Input Parameters:
3625: + snes  - the `SNES` context
3626: - steps - the number of refinements to do, defaults to 0

3628:   Options Database Key:
3629: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3631:   Level: intermediate

3633:   Notes:
3634:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3636:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3638: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3639:           `SNESSetDM()`, `SNESSolve()`
3640: @*/
3641: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3642: {
3643:   PetscFunctionBegin;
3646:   snes->gridsequence = steps;
3647:   PetscFunctionReturn(PETSC_SUCCESS);
3648: }

3650: /*@
3651:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3653:   Logically Collective

3655:   Input Parameter:
3656: . snes - the `SNES` context

3658:   Output Parameter:
3659: . steps - the number of refinements to do, defaults to 0

3661:   Level: intermediate

3663: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3664: @*/
3665: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3666: {
3667:   PetscFunctionBegin;
3669:   *steps = snes->gridsequence;
3670:   PetscFunctionReturn(PETSC_SUCCESS);
3671: }

3673: /*@
3674:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3676:   Not Collective

3678:   Input Parameter:
3679: . snes - the `SNES` context

3681:   Output Parameter:
3682: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3683:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3685:   Level: intermediate

3687:   Notes:
3688:   The default is 1

3690:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3692: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3693: @*/
3694: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3695: {
3696:   PetscFunctionBegin;
3698:   *lag = snes->lagpreconditioner;
3699:   PetscFunctionReturn(PETSC_SUCCESS);
3700: }

3702: /*@
3703:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3704:   often the preconditioner is rebuilt.

3706:   Logically Collective

3708:   Input Parameters:
3709: + snes - the `SNES` context
3710: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3711:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3713:   Options Database Keys:
3714: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3715: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3716: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3717: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3719:   Level: intermediate

3721:   Notes:
3722:   The default is 1

3724:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3726:   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
3727:   at the next Newton step but never again (unless it is reset to another value)

3729: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3730: @*/
3731: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3732: {
3733:   PetscFunctionBegin;
3735:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3736:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3738:   snes->lagjacobian = lag;
3739:   PetscFunctionReturn(PETSC_SUCCESS);
3740: }

3742: /*@
3743:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3745:   Not Collective

3747:   Input Parameter:
3748: . snes - the `SNES` context

3750:   Output Parameter:
3751: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3752:          the Jacobian is built etc.

3754:   Level: intermediate

3756:   Notes:
3757:   The default is 1

3759:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3761: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3763: @*/
3764: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3765: {
3766:   PetscFunctionBegin;
3768:   *lag = snes->lagjacobian;
3769:   PetscFunctionReturn(PETSC_SUCCESS);
3770: }

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

3775:   Logically collective

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

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

3787:   Level: advanced

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

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

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

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

3810:   Logically Collective

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

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

3822:   Level: developer

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

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

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

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

3845:   Logically Collective

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

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

3854:   Level: intermediate

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

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

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

3872:   Logically Collective

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

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

3880:   Level: intermediate

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

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

3895:   Logically Collective

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

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

3912:   Level: intermediate

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

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

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

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

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

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

3944:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3945:     snes->rtol = snes->default_rtol;
3946:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3947:     PetscCheck(rtol >= 0.0 && 1.0 > rtol, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Relative tolerance %g must be non-negative and less than 1.0", (double)rtol);
3948:     snes->rtol = rtol;
3949:   }

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

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

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

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

3981:   Logically Collective

3983:   Input Parameters:
3984: + snes   - the `SNES` context
3985: - divtol - the divergence tolerance. Use `PETSC_UNLIMITED` to deactivate the test. If the residual norm $ F(x^n) \ge divtol * F(x^0) $ the solver
3986:            is stopped due to divergence.

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

3991:   Level: intermediate

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

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

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

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

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

4021:   Not Collective

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

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

4033:   Level: intermediate

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

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

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

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

4057:   Not Collective

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

4063:   Level: intermediate

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

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

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

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

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

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

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

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

4148:   Collective

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

4157:   Level: developer

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

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

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

4183:   Collective

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

4190:   Level: developer

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

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

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

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

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

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

4218:      Collective

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

4226:    Level: advanced

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

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

4236:   Logically Collective

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

4244:   Options Database Keys:
4245: + -snes_monitor               - sets `SNESMonitorDefault()`
4246: . -snes_monitor draw::draw_lg - sets line graph monitor,
4247: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4248:                                 the options database.

4250:   Level: intermediate

4252:   Note:
4253:   Several different monitoring routines may be set by calling
4254:   `SNESMonitorSet()` multiple times; all will be called in the
4255:   order in which they were set.

4257:   Fortran Note:
4258:   Only a single monitor function can be set for each `SNES` object

4260: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4261: @*/
4262: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, PetscCtx), PetscCtx mctx, PetscCtxDestroyFn *monitordestroy)
4263: {
4264:   PetscFunctionBegin;
4266:   for (PetscInt i = 0; i < snes->numbermonitors; i++) {
4267:     PetscBool identical;

4269:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4270:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4271:   }
4272:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4273:   snes->monitor[snes->numbermonitors]          = f;
4274:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4275:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4276:   PetscFunctionReturn(PETSC_SUCCESS);
4277: }

4279: /*@
4280:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4282:   Logically Collective

4284:   Input Parameter:
4285: . snes - the `SNES` context

4287:   Options Database Key:
4288: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4289:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4290:                          set via the options database

4292:   Level: intermediate

4294:   Note:
4295:   There is no way to clear one specific monitor from a `SNES` object.

4297: .seealso: [](ch_snes), `SNES`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4298: @*/
4299: PetscErrorCode SNESMonitorCancel(SNES snes)
4300: {
4301:   PetscInt i;

4303:   PetscFunctionBegin;
4305:   for (i = 0; i < snes->numbermonitors; i++) {
4306:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4307:   }
4308:   snes->numbermonitors = 0;
4309:   PetscFunctionReturn(PETSC_SUCCESS);
4310: }

4312: /*MC
4313:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4315:      Synopsis:
4316: #include <petscsnes.h>
4317:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4319:      Collective

4321:     Input Parameters:
4322: +    snes - the `SNES` context
4323: .    it - current iteration (0 is the first and is before any Newton step)
4324: .    xnorm - 2-norm of current iterate
4325: .    gnorm - 2-norm of current step
4326: .    f - 2-norm of function
4327: -    cctx - [optional] convergence context

4329:     Output Parameter:
4330: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4332:    Level: intermediate

4334: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4335: M*/

4337: /*@C
4338:   SNESSetConvergenceTest - Sets the function that is to be used
4339:   to test for convergence of the nonlinear iterative solution.

4341:   Logically Collective

4343:   Input Parameters:
4344: + snes                        - the `SNES` context
4345: . SNESConvergenceTestFunction - routine to test for convergence
4346: . ctx                         - [optional] context for private data for the convergence routine  (may be `NULL`)
4347: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4349:   Level: advanced

4351: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4352: @*/
4353: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), PetscCtx ctx, PetscCtxDestroyFn *destroy)
4354: {
4355:   PetscFunctionBegin;
4357:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4358:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(&snes->cnvP));
4359:   snes->ops->converged        = SNESConvergenceTestFunction;
4360:   snes->ops->convergeddestroy = destroy;
4361:   snes->cnvP                  = ctx;
4362:   PetscFunctionReturn(PETSC_SUCCESS);
4363: }

4365: /*@
4366:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4368:   Not Collective

4370:   Input Parameter:
4371: . snes - the `SNES` context

4373:   Output Parameter:
4374: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4376:   Options Database Key:
4377: . -snes_converged_reason - prints the reason to standard out

4379:   Level: intermediate

4381:   Note:
4382:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4384: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4385: @*/
4386: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4387: {
4388:   PetscFunctionBegin;
4390:   PetscAssertPointer(reason, 2);
4391:   *reason = snes->reason;
4392:   PetscFunctionReturn(PETSC_SUCCESS);
4393: }

4395: /*@C
4396:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4398:   Not Collective

4400:   Input Parameter:
4401: . snes - the `SNES` context

4403:   Output Parameter:
4404: . strreason - a human readable string that describes `SNES` converged reason

4406:   Level: beginner

4408: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4409: @*/
4410: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4411: {
4412:   PetscFunctionBegin;
4414:   PetscAssertPointer(strreason, 2);
4415:   *strreason = SNESConvergedReasons[snes->reason];
4416:   PetscFunctionReturn(PETSC_SUCCESS);
4417: }

4419: /*@
4420:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4422:   Not Collective

4424:   Input Parameters:
4425: + snes   - the `SNES` context
4426: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4427:             manual pages for the individual convergence tests for complete lists

4429:   Level: developer

4431:   Developer Note:
4432:   Called inside the various `SNESSolve()` implementations

4434: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4435: @*/
4436: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4437: {
4438:   PetscFunctionBegin;
4440:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4441:   snes->reason = reason;
4442:   PetscFunctionReturn(PETSC_SUCCESS);
4443: }

4445: /*@
4446:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4448:   Logically Collective

4450:   Input Parameters:
4451: + snes  - iterative context obtained from `SNESCreate()`
4452: . a     - array to hold history, this array will contain the function norms computed at each step
4453: . its   - integer array holds the number of linear iterations for each solve.
4454: . na    - size of `a` and `its`
4455: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4456:           else it continues storing new values for new nonlinear solves after the old ones

4458:   Level: intermediate

4460:   Notes:
4461:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4462:   default array of length 1,000 is allocated.

4464:   This routine is useful, e.g., when running a code for purposes
4465:   of accurate performance monitoring, when no I/O should be done
4466:   during the section of code that is being timed.

4468:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4470: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4471: @*/
4472: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4473: {
4474:   PetscFunctionBegin;
4476:   if (a) PetscAssertPointer(a, 2);
4477:   if (its) PetscAssertPointer(its, 3);
4478:   if (!a) {
4479:     if (na == PETSC_DECIDE) na = 1000;
4480:     PetscCall(PetscCalloc2(na, &a, na, &its));
4481:     snes->conv_hist_alloc = PETSC_TRUE;
4482:   }
4483:   snes->conv_hist       = a;
4484:   snes->conv_hist_its   = its;
4485:   snes->conv_hist_max   = (size_t)na;
4486:   snes->conv_hist_len   = 0;
4487:   snes->conv_hist_reset = reset;
4488:   PetscFunctionReturn(PETSC_SUCCESS);
4489: }

4491: #if defined(PETSC_HAVE_MATLAB)
4492:   #include <engine.h> /* MATLAB include file */
4493:   #include <mex.h>    /* MATLAB include file */

4495: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4496: {
4497:   mxArray   *mat;
4498:   PetscInt   i;
4499:   PetscReal *ar;

4501:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4502:   ar  = (PetscReal *)mxGetData(mat);
4503:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4504:   return mat;
4505: }
4506: #endif

4508: /*@C
4509:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4511:   Not Collective

4513:   Input Parameter:
4514: . snes - iterative context obtained from `SNESCreate()`

4516:   Output Parameters:
4517: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4518: . its - integer array holds the number of linear iterations (or
4519:          negative if not converged) for each solve.
4520: - na  - size of `a` and `its`

4522:   Level: intermediate

4524:   Note:
4525:   This routine is useful, e.g., when running a code for purposes
4526:   of accurate performance monitoring, when no I/O should be done
4527:   during the section of code that is being timed.

4529:   Fortran Notes:
4530:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4532:   Use the arguments
4533: .vb
4534:   PetscReal, pointer :: a(:)
4535:   PetscInt, pointer :: its(:)
4536: .ve

4538: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4539: @*/
4540: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4541: {
4542:   PetscFunctionBegin;
4544:   if (a) *a = snes->conv_hist;
4545:   if (its) *its = snes->conv_hist_its;
4546:   if (na) *na = (PetscInt)snes->conv_hist_len;
4547:   PetscFunctionReturn(PETSC_SUCCESS);
4548: }

4550: /*@C
4551:   SNESSetUpdate - Sets the general-purpose update function called
4552:   at the beginning of every iteration of the nonlinear solve. Specifically
4553:   it is called just before the Jacobian is "evaluated" and after the function
4554:   evaluation.

4556:   Logically Collective

4558:   Input Parameters:
4559: + snes - The nonlinear solver context
4560: - func - The update function; for calling sequence see `SNESUpdateFn`

4562:   Level: advanced

4564:   Notes:
4565:   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
4566:   to `SNESSetFunction()`, or `SNESSetPicard()`
4567:   This is not used by most users, and it is intended to provide a general hook that is run
4568:   right before the direction step is computed.

4570:   Users are free to modify the current residual vector,
4571:   the current linearization point, or any other vector associated to the specific solver used.
4572:   If such modifications take place, it is the user responsibility to update all the relevant
4573:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4574: .vb
4575:   PetscErrorCode update(SNES snes, PetscInt iteration)
4576:   {
4577:     PetscFunctionBeginUser;
4578:     if (iteration > 0) {
4579:       // update the model parameters here
4580:       Vec x,f;
4581:       PetscCall(SNESGetSolution(snes,&x));
4582:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4583:       PetscCall(SNESComputeFunction(snes,x,f));
4584:     }
4585:     PetscFunctionReturn(PETSC_SUCCESS);
4586:   }
4587: .ve

4589:   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.

4591: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4592:          `SNESMonitorSet()`
4593: @*/
4594: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4595: {
4596:   PetscFunctionBegin;
4598:   snes->ops->update = func;
4599:   PetscFunctionReturn(PETSC_SUCCESS);
4600: }

4602: /*@
4603:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4605:   Collective

4607:   Input Parameters:
4608: + snes   - iterative context obtained from `SNESCreate()`
4609: - viewer - the viewer to display the reason

4611:   Options Database Keys:
4612: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4613: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4615:   Level: beginner

4617:   Note:
4618:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4619:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4621: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4622:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4623:           `SNESConvergedReasonViewFromOptions()`,
4624:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4625: @*/
4626: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4627: {
4628:   PetscViewerFormat format;
4629:   PetscBool         isAscii;

4631:   PetscFunctionBegin;
4632:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4633:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4634:   if (isAscii) {
4635:     PetscCall(PetscViewerGetFormat(viewer, &format));
4636:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4637:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4638:       DM       dm;
4639:       Vec      u;
4640:       PetscDS  prob;
4641:       PetscInt Nf, f;
4642:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4643:       void    **exactCtx;
4644:       PetscReal error;

4646:       PetscCall(SNESGetDM(snes, &dm));
4647:       PetscCall(SNESGetSolution(snes, &u));
4648:       PetscCall(DMGetDS(dm, &prob));
4649:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4650:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4651:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4652:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4653:       PetscCall(PetscFree2(exactSol, exactCtx));
4654:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4655:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4656:     }
4657:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4658:       if (((PetscObject)snes)->prefix) {
4659:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4660:       } else {
4661:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4662:       }
4663:     } else if (snes->reason <= 0) {
4664:       if (((PetscObject)snes)->prefix) {
4665:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4666:       } else {
4667:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4668:       }
4669:     }
4670:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4671:   }
4672:   PetscFunctionReturn(PETSC_SUCCESS);
4673: }

4675: /*@C
4676:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4677:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4679:   Logically Collective

4681:   Input Parameters:
4682: + snes              - the `SNES` context
4683: . f                 - the `SNESConvergedReason` view function
4684: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4685: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4687:   Calling sequence of `f`:
4688: + snes - the `SNES` context
4689: - vctx - [optional] context for private data for the function

4691:   Options Database Keys:
4692: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4693: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4694:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4696:   Level: intermediate

4698:   Note:
4699:   Several different converged reason view routines may be set by calling
4700:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4701:   order in which they were set.

4703: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4704:           `PetscCtxDestroyFn`
4705: @*/
4706: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscCtxDestroyFn *reasonviewdestroy)
4707: {
4708:   PetscFunctionBegin;
4710:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) {
4711:     PetscBool identical;

4713:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4714:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4715:   }
4716:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4717:   snes->reasonview[snes->numberreasonviews]          = f;
4718:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4719:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4720:   PetscFunctionReturn(PETSC_SUCCESS);
4721: }

4723: /*@
4724:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4725:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4727:   Collective

4729:   Input Parameter:
4730: . snes - the `SNES` object

4732:   Level: advanced

4734: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4735:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4736: @*/
4737: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4738: {
4739:   static PetscBool incall = PETSC_FALSE;

4741:   PetscFunctionBegin;
4742:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4743:   incall = PETSC_TRUE;

4745:   /* All user-provided viewers are called first, if they exist. */
4746:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4748:   /* Call PETSc default routine if users ask for it */
4749:   if (snes->convergedreasonviewer) {
4750:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4751:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4752:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4753:   }
4754:   incall = PETSC_FALSE;
4755:   PetscFunctionReturn(PETSC_SUCCESS);
4756: }

4758: /*@
4759:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4761:   Collective

4763:   Input Parameters:
4764: + snes - the `SNES` context
4765: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4766: - x    - the solution vector.

4768:   Level: beginner

4770:   Note:
4771:   The user should initialize the vector, `x`, with the initial guess
4772:   for the nonlinear solve prior to calling `SNESSolve()` .

4774: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4775:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4776:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4777: @*/
4778: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4779: {
4780:   PetscBool flg;
4781:   PetscInt  grid;
4782:   Vec       xcreated = NULL;
4783:   DM        dm;

4785:   PetscFunctionBegin;
4788:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4790:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4792:   /* High level operations using the nonlinear solver */
4793:   {
4794:     PetscViewer       viewer;
4795:     PetscViewerFormat format;
4796:     PetscInt          num;
4797:     PetscBool         flg;
4798:     static PetscBool  incall = PETSC_FALSE;

4800:     if (!incall) {
4801:       /* Estimate the convergence rate of the discretization */
4802:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4803:       if (flg) {
4804:         PetscConvEst conv;
4805:         DM           dm;
4806:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4807:         PetscInt     Nf;

4809:         incall = PETSC_TRUE;
4810:         PetscCall(SNESGetDM(snes, &dm));
4811:         PetscCall(DMGetNumFields(dm, &Nf));
4812:         PetscCall(PetscCalloc1(Nf, &alpha));
4813:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4814:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4815:         PetscCall(PetscConvEstSetFromOptions(conv));
4816:         PetscCall(PetscConvEstSetUp(conv));
4817:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4818:         PetscCall(PetscViewerPushFormat(viewer, format));
4819:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4820:         PetscCall(PetscViewerPopFormat(viewer));
4821:         PetscCall(PetscViewerDestroy(&viewer));
4822:         PetscCall(PetscConvEstDestroy(&conv));
4823:         PetscCall(PetscFree(alpha));
4824:         incall = PETSC_FALSE;
4825:       }
4826:       /* Adaptively refine the initial grid */
4827:       num = 1;
4828:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4829:       if (flg) {
4830:         DMAdaptor adaptor;

4832:         incall = PETSC_TRUE;
4833:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4834:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4835:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4836:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4837:         PetscCall(DMAdaptorSetUp(adaptor));
4838:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4839:         PetscCall(DMAdaptorDestroy(&adaptor));
4840:         incall = PETSC_FALSE;
4841:       }
4842:       /* Use grid sequencing to adapt */
4843:       num = 0;
4844:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4845:       if (num) {
4846:         DMAdaptor   adaptor;
4847:         const char *prefix;

4849:         incall = PETSC_TRUE;
4850:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4851:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4852:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4853:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4854:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4855:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4856:         PetscCall(DMAdaptorSetUp(adaptor));
4857:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4858:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4859:         PetscCall(DMAdaptorDestroy(&adaptor));
4860:         incall = PETSC_FALSE;
4861:       }
4862:     }
4863:   }
4864:   if (!x) x = snes->vec_sol;
4865:   if (!x) {
4866:     PetscCall(SNESGetDM(snes, &dm));
4867:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4868:     x = xcreated;
4869:   }
4870:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4872:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4873:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4874:     /* set solution vector */
4875:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4876:     PetscCall(VecDestroy(&snes->vec_sol));
4877:     snes->vec_sol = x;
4878:     PetscCall(SNESGetDM(snes, &dm));

4880:     /* set affine vector if provided */
4881:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4882:     PetscCall(VecDestroy(&snes->vec_rhs));
4883:     snes->vec_rhs = b;

4885:     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");
4886:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4887:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4888:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4889:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4890:     PetscCall(SNESSetUp(snes));

4892:     if (!grid) {
4893:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4894:     }

4896:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4897:     PetscCall(SNESResetCounters(snes));
4898:     snes->reason = SNES_CONVERGED_ITERATING;
4899:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4900:     PetscUseTypeMethod(snes, solve);
4901:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4902:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4903:     snes->functiondomainerror  = PETSC_FALSE; /* clear the flag if it has been set */
4904:     snes->objectivedomainerror = PETSC_FALSE; /* clear the flag if it has been set */
4905:     snes->jacobiandomainerror  = PETSC_FALSE; /* clear the flag if it has been set */

4907:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4908:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4910:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4911:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4912:     /* Call converged reason views. This may involve user-provided viewers as well */
4913:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4915:     if (snes->errorifnotconverged) {
4916:       if (snes->reason < 0) PetscCall(SNESMonitorCancel(snes));
4917:       PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4918:     }
4919:     if (snes->reason < 0) break;
4920:     if (grid < snes->gridsequence) {
4921:       DM  fine;
4922:       Vec xnew;
4923:       Mat interp;

4925:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4926:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4927:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4928:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4929:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4930:       PetscCall(MatInterpolate(interp, x, xnew));
4931:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4932:       PetscCall(MatDestroy(&interp));
4933:       x = xnew;

4935:       PetscCall(SNESReset(snes));
4936:       PetscCall(SNESSetDM(snes, fine));
4937:       PetscCall(SNESResetFromOptions(snes));
4938:       PetscCall(DMDestroy(&fine));
4939:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4940:     }
4941:   }
4942:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4943:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4944:   PetscCall(DMMonitor(snes->dm));
4945:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4947:   PetscCall(VecDestroy(&xcreated));
4948:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4949:   PetscFunctionReturn(PETSC_SUCCESS);
4950: }

4952: /* --------- Internal routines for SNES Package --------- */

4954: /*@
4955:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

4957:   Collective

4959:   Input Parameters:
4960: + snes - the `SNES` context
4961: - type - a known method

4963:   Options Database Key:
4964: . -snes_type <type> - Sets the method; use -help for a list
4965:    of available methods (for instance, newtonls or newtontr)

4967:   Level: intermediate

4969:   Notes:
4970:   See `SNESType` for available methods (for instance)
4971: +    `SNESNEWTONLS` - Newton's method with line search
4972:   (systems of nonlinear equations)
4973: -    `SNESNEWTONTR` - Newton's method with trust region
4974:   (systems of nonlinear equations)

4976:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4977:   set the `SNES` solver type from the options database rather than by using
4978:   this routine.  Using the options database provides the user with
4979:   maximum flexibility in evaluating the many nonlinear solvers.
4980:   The `SNESSetType()` routine is provided for those situations where it
4981:   is necessary to set the nonlinear solver independently of the command
4982:   line or options database.  This might be the case, for example, when
4983:   the choice of solver changes during the execution of the program,
4984:   and the user's application is taking responsibility for choosing the
4985:   appropriate method.

4987:   Developer Note:
4988:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4989:   the constructor in that list and calls it to create the specific object.

4991: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4992: @*/
4993: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4994: {
4995:   PetscBool match;
4996:   PetscErrorCode (*r)(SNES);

4998:   PetscFunctionBegin;
5000:   PetscAssertPointer(type, 2);

5002:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
5003:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

5005:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
5006:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
5007:   /* Destroy the previous private SNES context */
5008:   PetscTryTypeMethod(snes, destroy);
5009:   /* Reinitialize type-specific function pointers in SNESOps structure */
5010:   snes->ops->reset          = NULL;
5011:   snes->ops->setup          = NULL;
5012:   snes->ops->solve          = NULL;
5013:   snes->ops->view           = NULL;
5014:   snes->ops->setfromoptions = NULL;
5015:   snes->ops->destroy        = NULL;

5017:   /* It may happen the user has customized the line search before calling SNESSetType */
5018:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5020:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5021:   snes->setupcalled = PETSC_FALSE;

5023:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5024:   PetscCall((*r)(snes));
5025:   PetscFunctionReturn(PETSC_SUCCESS);
5026: }

5028: /*@
5029:   SNESGetType - Gets the `SNES` method type and name (as a string).

5031:   Not Collective

5033:   Input Parameter:
5034: . snes - nonlinear solver context

5036:   Output Parameter:
5037: . type - `SNES` method (a character string)

5039:   Level: intermediate

5041: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
5042: @*/
5043: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5044: {
5045:   PetscFunctionBegin;
5047:   PetscAssertPointer(type, 2);
5048:   *type = ((PetscObject)snes)->type_name;
5049:   PetscFunctionReturn(PETSC_SUCCESS);
5050: }

5052: /*@
5053:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5055:   Logically Collective

5057:   Input Parameters:
5058: + snes - the `SNES` context obtained from `SNESCreate()`
5059: - u    - the solution vector

5061:   Level: beginner

5063: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5064: @*/
5065: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5066: {
5067:   DM dm;

5069:   PetscFunctionBegin;
5072:   PetscCall(PetscObjectReference((PetscObject)u));
5073:   PetscCall(VecDestroy(&snes->vec_sol));

5075:   snes->vec_sol = u;

5077:   PetscCall(SNESGetDM(snes, &dm));
5078:   PetscCall(DMShellSetGlobalVector(dm, u));
5079:   PetscFunctionReturn(PETSC_SUCCESS);
5080: }

5082: /*@
5083:   SNESGetSolution - Returns the vector where the approximate solution is
5084:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5086:   Not Collective, but `x` is parallel if `snes` is parallel

5088:   Input Parameter:
5089: . snes - the `SNES` context

5091:   Output Parameter:
5092: . x - the solution

5094:   Level: intermediate

5096: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5097: @*/
5098: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5099: {
5100:   PetscFunctionBegin;
5102:   PetscAssertPointer(x, 2);
5103:   *x = snes->vec_sol;
5104:   PetscFunctionReturn(PETSC_SUCCESS);
5105: }

5107: /*@
5108:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5109:   stored.

5111:   Not Collective, but `x` is parallel if `snes` is parallel

5113:   Input Parameter:
5114: . snes - the `SNES` context

5116:   Output Parameter:
5117: . x - the solution update

5119:   Level: advanced

5121: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5122: @*/
5123: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5124: {
5125:   PetscFunctionBegin;
5127:   PetscAssertPointer(x, 2);
5128:   *x = snes->vec_sol_update;
5129:   PetscFunctionReturn(PETSC_SUCCESS);
5130: }

5132: /*@C
5133:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5135:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5137:   Input Parameter:
5138: . snes - the `SNES` context

5140:   Output Parameters:
5141: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5142: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5143: - ctx - the function context (or `NULL` if you don't want it)

5145:   Level: advanced

5147:   Note:
5148:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5150: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5151: @*/
5152: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, PetscCtxRt ctx)
5153: {
5154:   DM dm;

5156:   PetscFunctionBegin;
5158:   if (r) {
5159:     if (!snes->vec_func) {
5160:       if (snes->vec_rhs) {
5161:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5162:       } else if (snes->vec_sol) {
5163:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5164:       } else if (snes->dm) {
5165:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5166:       }
5167:     }
5168:     *r = snes->vec_func;
5169:   }
5170:   PetscCall(SNESGetDM(snes, &dm));
5171:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5172:   PetscFunctionReturn(PETSC_SUCCESS);
5173: }

5175: /*@C
5176:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5178:   Input Parameter:
5179: . snes - the `SNES` context

5181:   Output Parameters:
5182: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5183: - ctx - the function context (or `NULL`)

5185:   Level: advanced

5187: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5188: @*/
5189: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, PetscCtxRt ctx)
5190: {
5191:   DM dm;

5193:   PetscFunctionBegin;
5195:   PetscCall(SNESGetDM(snes, &dm));
5196:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5197:   PetscFunctionReturn(PETSC_SUCCESS);
5198: }

5200: /*@
5201:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5202:   `SNES` options in the database.

5204:   Logically Collective

5206:   Input Parameters:
5207: + snes   - the `SNES` context
5208: - prefix - the prefix to prepend to all option names

5210:   Level: advanced

5212:   Note:
5213:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5214:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5216: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5217: @*/
5218: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5219: {
5220:   PetscFunctionBegin;
5222:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5223:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5224:   if (snes->linesearch) {
5225:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5226:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5227:   }
5228:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5229:   PetscFunctionReturn(PETSC_SUCCESS);
5230: }

5232: /*@
5233:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5234:   `SNES` options in the database.

5236:   Logically Collective

5238:   Input Parameters:
5239: + snes   - the `SNES` context
5240: - prefix - the prefix to prepend to all option names

5242:   Level: advanced

5244:   Note:
5245:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5246:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5248: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5249: @*/
5250: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5251: {
5252:   PetscFunctionBegin;
5254:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5255:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5256:   if (snes->linesearch) {
5257:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5258:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5259:   }
5260:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5261:   PetscFunctionReturn(PETSC_SUCCESS);
5262: }

5264: /*@
5265:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5266:   `SNES` options in the database.

5268:   Not Collective

5270:   Input Parameter:
5271: . snes - the `SNES` context

5273:   Output Parameter:
5274: . prefix - pointer to the prefix string used

5276:   Level: advanced

5278: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5279: @*/
5280: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5281: {
5282:   PetscFunctionBegin;
5284:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5285:   PetscFunctionReturn(PETSC_SUCCESS);
5286: }

5288: /*@C
5289:   SNESRegister - Adds a method to the nonlinear solver package.

5291:   Not Collective

5293:   Input Parameters:
5294: + sname    - name of a new user-defined solver
5295: - function - routine to create method context

5297:   Level: advanced

5299:   Note:
5300:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5302:   Example Usage:
5303: .vb
5304:    SNESRegister("my_solver", MySolverCreate);
5305: .ve

5307:   Then, your solver can be chosen with the procedural interface via
5308: .vb
5309:   SNESSetType(snes, "my_solver")
5310: .ve
5311:   or at runtime via the option
5312: .vb
5313:   -snes_type my_solver
5314: .ve

5316: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5317: @*/
5318: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5319: {
5320:   PetscFunctionBegin;
5321:   PetscCall(SNESInitializePackage());
5322:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5323:   PetscFunctionReturn(PETSC_SUCCESS);
5324: }

5326: PetscErrorCode SNESTestLocalMin(SNES snes)
5327: {
5328:   PetscInt    N, i, j;
5329:   Vec         u, uh, fh;
5330:   PetscScalar value;
5331:   PetscReal   norm;

5333:   PetscFunctionBegin;
5334:   PetscCall(SNESGetSolution(snes, &u));
5335:   PetscCall(VecDuplicate(u, &uh));
5336:   PetscCall(VecDuplicate(u, &fh));

5338:   /* currently only works for sequential */
5339:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5340:   PetscCall(VecGetSize(u, &N));
5341:   for (i = 0; i < N; i++) {
5342:     PetscCall(VecCopy(u, uh));
5343:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5344:     for (j = -10; j < 11; j++) {
5345:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5346:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5347:       PetscCall(SNESComputeFunction(snes, uh, fh));
5348:       PetscCall(VecNorm(fh, NORM_2, &norm)); /* does not handle use of SNESSetFunctionDomainError() correctly */
5349:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5350:       value = -value;
5351:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5352:     }
5353:   }
5354:   PetscCall(VecDestroy(&uh));
5355:   PetscCall(VecDestroy(&fh));
5356:   PetscFunctionReturn(PETSC_SUCCESS);
5357: }

5359: /*@
5360:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5362:   Not Collective

5364:   Input Parameter:
5365: . snes - iterative context obtained from `SNESCreate()`

5367:   Output Parameter:
5368: . linesearch - linesearch context

5370:   Level: beginner

5372:   Notes:
5373:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5375:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5377: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5378: @*/
5379: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5380: {
5381:   const char *optionsprefix;

5383:   PetscFunctionBegin;
5385:   PetscAssertPointer(linesearch, 2);
5386:   if (!snes->linesearch) {
5387:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5388:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5389:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5390:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5391:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5392:   }
5393:   *linesearch = snes->linesearch;
5394:   PetscFunctionReturn(PETSC_SUCCESS);
5395: }

5397: /*@
5398:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5399:   computing relative tolerance for linear solvers within an inexact
5400:   Newton method.

5402:   Logically Collective

5404:   Input Parameters:
5405: + snes - `SNES` context
5406: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5408:   Options Database Keys:
5409: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5410: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5411: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5412: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5413: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5414: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5415: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5416: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5418:   Level: advanced

5420:   Note:
5421:   The default is to use a constant relative tolerance for
5422:   the inner linear solvers.  Alternatively, one can use the
5423:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5424:   is reset at each Newton iteration according progress of the nonlinear
5425:   solver.

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

5438: /*@
5439:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5440:   for computing relative tolerance for linear solvers within an
5441:   inexact Newton method.

5443:   Not Collective

5445:   Input Parameter:
5446: . snes - `SNES` context

5448:   Output Parameter:
5449: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5451:   Level: advanced

5453: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5454: @*/
5455: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5456: {
5457:   PetscFunctionBegin;
5459:   PetscAssertPointer(flag, 2);
5460:   *flag = snes->ksp_ewconv;
5461:   PetscFunctionReturn(PETSC_SUCCESS);
5462: }

5464: /*@
5465:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5466:   convergence criteria for the linear solvers within an inexact
5467:   Newton method.

5469:   Logically Collective

5471:   Input Parameters:
5472: + snes      - `SNES` context
5473: . version   - version 1, 2 (default is 2), 3 or 4
5474: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5475: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5476: . gamma     - multiplicative factor for version 2 rtol computation
5477:              (0 <= gamma2 <= 1)
5478: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5479: . alpha2    - power for safeguard
5480: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5482:   Level: advanced

5484:   Notes:
5485:   Version 3 was contributed by Luis Chacon, June 2006.

5487:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5489: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5490: @*/
5491: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5492: {
5493:   SNESKSPEW *kctx;

5495:   PetscFunctionBegin;
5497:   kctx = (SNESKSPEW *)snes->kspconvctx;
5498:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5507:   if (version != PETSC_CURRENT) kctx->version = version;
5508:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5509:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5510:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5511:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5512:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5513:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5515:   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);
5516:   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);
5517:   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);
5518:   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);
5519:   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);
5520:   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);
5521:   PetscFunctionReturn(PETSC_SUCCESS);
5522: }

5524: /*@
5525:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5526:   convergence criteria for the linear solvers within an inexact
5527:   Newton method.

5529:   Not Collective

5531:   Input Parameter:
5532: . snes - `SNES` context

5534:   Output Parameters:
5535: + version   - version 1, 2 (default is 2), 3 or 4
5536: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5537: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5538: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5539: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5540: . alpha2    - power for safeguard
5541: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5543:   Level: advanced

5545: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5546: @*/
5547: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5548: {
5549:   SNESKSPEW *kctx;

5551:   PetscFunctionBegin;
5553:   kctx = (SNESKSPEW *)snes->kspconvctx;
5554:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5555:   if (version) *version = kctx->version;
5556:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5557:   if (rtol_max) *rtol_max = kctx->rtol_max;
5558:   if (gamma) *gamma = kctx->gamma;
5559:   if (alpha) *alpha = kctx->alpha;
5560:   if (alpha2) *alpha2 = kctx->alpha2;
5561:   if (threshold) *threshold = kctx->threshold;
5562:   PetscFunctionReturn(PETSC_SUCCESS);
5563: }

5565: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5566: {
5567:   SNES       snes = (SNES)ctx;
5568:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5569:   PetscReal  rtol = PETSC_CURRENT, stol;

5571:   PetscFunctionBegin;
5572:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5573:   if (!snes->iter) {
5574:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5575:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5576:   } else {
5577:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5578:     if (kctx->version == 1) {
5579:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5580:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5581:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5582:     } else if (kctx->version == 2) {
5583:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5584:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5585:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5586:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5587:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5588:       /* safeguard: avoid sharp decrease of rtol */
5589:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5590:       stol = PetscMax(rtol, stol);
5591:       rtol = PetscMin(kctx->rtol_0, stol);
5592:       /* safeguard: avoid oversolving */
5593:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5594:       stol = PetscMax(rtol, stol);
5595:       rtol = PetscMin(kctx->rtol_0, stol);
5596:     } else /* if (kctx->version == 4) */ {
5597:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5598:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5599:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5600:       PetscReal rk   = ared / pred;
5601:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5602:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5603:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5604:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5606:       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;
5607:       kctx->rtol_last_2 = kctx->rtol_last;
5608:       kctx->rk_last_2   = kctx->rk_last;
5609:       kctx->rk_last     = rk;
5610:     }
5611:   }
5612:   /* safeguard: avoid rtol greater than rtol_max */
5613:   rtol = PetscMin(rtol, kctx->rtol_max);
5614:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5615:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5616:   PetscFunctionReturn(PETSC_SUCCESS);
5617: }

5619: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, PetscCtx ctx)
5620: {
5621:   SNES       snes = (SNES)ctx;
5622:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5623:   PCSide     pcside;
5624:   Vec        lres;

5626:   PetscFunctionBegin;
5627:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5628:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5629:   kctx->norm_last = snes->norm;
5630:   if (kctx->version == 1 || kctx->version == 4) {
5631:     PC        pc;
5632:     PetscBool getRes;

5634:     PetscCall(KSPGetPC(ksp, &pc));
5635:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5636:     if (!getRes) {
5637:       KSPNormType normtype;

5639:       PetscCall(KSPGetNormType(ksp, &normtype));
5640:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5641:     }
5642:     PetscCall(KSPGetPCSide(ksp, &pcside));
5643:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5644:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5645:     } else {
5646:       /* KSP residual is preconditioned residual */
5647:       /* compute true linear residual norm */
5648:       Mat J;
5649:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5650:       PetscCall(VecDuplicate(b, &lres));
5651:       PetscCall(MatMult(J, x, lres));
5652:       PetscCall(VecAYPX(lres, -1.0, b));
5653:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5654:       PetscCall(VecDestroy(&lres));
5655:     }
5656:   }
5657:   PetscFunctionReturn(PETSC_SUCCESS);
5658: }

5660: /*@
5661:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5663:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5665:   Input Parameter:
5666: . snes - the `SNES` context

5668:   Output Parameter:
5669: . ksp - the `KSP` context

5671:   Level: beginner

5673:   Notes:
5674:   The user can then directly manipulate the `KSP` context to set various
5675:   options, etc.  Likewise, the user can then extract and manipulate the
5676:   `PC` contexts as well.

5678:   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.

5680: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5681: @*/
5682: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5683: {
5684:   PetscFunctionBegin;
5686:   PetscAssertPointer(ksp, 2);

5688:   if (!snes->ksp) {
5689:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5690:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5692:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5693:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5695:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5696:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5697:   }
5698:   *ksp = snes->ksp;
5699:   PetscFunctionReturn(PETSC_SUCCESS);
5700: }

5702: #include <petsc/private/dmimpl.h>
5703: /*@
5704:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5706:   Logically Collective

5708:   Input Parameters:
5709: + snes - the nonlinear solver context
5710: - dm   - the `DM`, cannot be `NULL`

5712:   Level: intermediate

5714:   Note:
5715:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5716:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5717:   problems using the same function space.

5719: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5720: @*/
5721: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5722: {
5723:   KSP    ksp;
5724:   DMSNES sdm;

5726:   PetscFunctionBegin;
5729:   PetscCall(PetscObjectReference((PetscObject)dm));
5730:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5731:     if (snes->dm->dmsnes && !dm->dmsnes) {
5732:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5733:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5734:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5735:     }
5736:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5737:     PetscCall(DMDestroy(&snes->dm));
5738:   }
5739:   snes->dm     = dm;
5740:   snes->dmAuto = PETSC_FALSE;

5742:   PetscCall(SNESGetKSP(snes, &ksp));
5743:   PetscCall(KSPSetDM(ksp, dm));
5744:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5745:   if (snes->npc) {
5746:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5747:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5748:   }
5749:   PetscFunctionReturn(PETSC_SUCCESS);
5750: }

5752: /*@
5753:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5755:   Not Collective but `dm` obtained is parallel on `snes`

5757:   Input Parameter:
5758: . snes - the `SNES` context

5760:   Output Parameter:
5761: . dm - the `DM`

5763:   Level: intermediate

5765: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5766: @*/
5767: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5768: {
5769:   PetscFunctionBegin;
5771:   if (!snes->dm) {
5772:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5773:     snes->dmAuto = PETSC_TRUE;
5774:   }
5775:   *dm = snes->dm;
5776:   PetscFunctionReturn(PETSC_SUCCESS);
5777: }

5779: /*@
5780:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5782:   Collective

5784:   Input Parameters:
5785: + snes - iterative context obtained from `SNESCreate()`
5786: - npc  - the `SNES` nonlinear preconditioner object

5788:   Options Database Key:
5789: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5791:   Level: developer

5793:   Notes:
5794:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5796:   Only some `SNESType` can use a nonlinear preconditioner

5798: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5799: @*/
5800: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5801: {
5802:   PetscFunctionBegin;
5805:   PetscCheckSameComm(snes, 1, npc, 2);
5806:   PetscCall(PetscObjectReference((PetscObject)npc));
5807:   PetscCall(SNESDestroy(&snes->npc));
5808:   snes->npc = npc;
5809:   PetscFunctionReturn(PETSC_SUCCESS);
5810: }

5812: /*@
5813:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5815:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5817:   Input Parameter:
5818: . snes - iterative context obtained from `SNESCreate()`

5820:   Output Parameter:
5821: . pc - the `SNES` preconditioner context

5823:   Options Database Key:
5824: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5826:   Level: advanced

5828:   Notes:
5829:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5830:   be used as the nonlinear preconditioner for the current `SNES`.

5832:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5833:   `SNES`. These may be overwritten if needed.

5835:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5837: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5838: @*/
5839: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5840: {
5841:   const char *optionsprefix;

5843:   PetscFunctionBegin;
5845:   PetscAssertPointer(pc, 2);
5846:   if (!snes->npc) {
5847:     PetscCtx ctx;

5849:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5850:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5851:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5852:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5853:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5854:     if (snes->ops->ctxcompute) {
5855:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->ctxcompute, snes->ops->ctxdestroy));
5856:     } else {
5857:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5858:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5859:     }
5860:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5861:   }
5862:   *pc = snes->npc;
5863:   PetscFunctionReturn(PETSC_SUCCESS);
5864: }

5866: /*@
5867:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5869:   Not Collective

5871:   Input Parameter:
5872: . snes - iterative context obtained from `SNESCreate()`

5874:   Output Parameter:
5875: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5877:   Level: developer

5879: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5880: @*/
5881: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5882: {
5883:   PetscFunctionBegin;
5885:   PetscAssertPointer(has_npc, 2);
5886:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5887:   PetscFunctionReturn(PETSC_SUCCESS);
5888: }

5890: /*@
5891:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5893:   Logically Collective

5895:   Input Parameter:
5896: . snes - iterative context obtained from `SNESCreate()`

5898:   Output Parameter:
5899: . side - the preconditioning side, where side is one of
5900: .vb
5901:       PC_LEFT  - left preconditioning
5902:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5903: .ve

5905:   Options Database Key:
5906: . -snes_npc_side <right,left> - nonlinear preconditioner side

5908:   Level: intermediate

5910:   Note:
5911:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5913: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5914: @*/
5915: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5916: {
5917:   PetscFunctionBegin;
5920:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5921:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5922:   snes->npcside = side;
5923:   PetscFunctionReturn(PETSC_SUCCESS);
5924: }

5926: /*@
5927:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5929:   Not Collective

5931:   Input Parameter:
5932: . snes - iterative context obtained from `SNESCreate()`

5934:   Output Parameter:
5935: . side - the preconditioning side, where side is one of
5936: .vb
5937:       `PC_LEFT` - left preconditioning
5938:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5939: .ve

5941:   Level: intermediate

5943: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5944: @*/
5945: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5946: {
5947:   PetscFunctionBegin;
5949:   PetscAssertPointer(side, 2);
5950:   *side = snes->npcside;
5951:   PetscFunctionReturn(PETSC_SUCCESS);
5952: }

5954: /*@
5955:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

5957:   Collective

5959:   Input Parameters:
5960: + snes       - iterative context obtained from `SNESCreate()`
5961: - linesearch - the linesearch object

5963:   Level: developer

5965:   Note:
5966:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5967:   to configure it using the API).

5969: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5970: @*/
5971: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5972: {
5973:   PetscFunctionBegin;
5976:   PetscCheckSameComm(snes, 1, linesearch, 2);
5977:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5978:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5980:   snes->linesearch = linesearch;
5981:   PetscFunctionReturn(PETSC_SUCCESS);
5982: }