Actual source code: snes.c

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

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

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

 15: /*@
 16:   SNESSetErrorIfNotConverged - Causes `SNESSolve()` to generate an error immediately if the solver has not converged.

 18:   Logically Collective

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

 24:   Options Database Key:
 25: . -snes_error_if_not_converged <true,false> - cause an immediate error condition and stop the program if the solver does not converge

 27:   Level: intermediate

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

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

 44: /*@
 45:   SNESGetErrorIfNotConverged - Indicates if `SNESSolve()` will generate an error if the solver does not converge?

 47:   Not Collective

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

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

 55:   Level: intermediate

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

 68: /*@
 69:   SNESSetAlwaysComputesFinalResidual - tells the `SNES` to always compute the residual (nonlinear function value) at the final solution

 71:   Logically Collective

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

 77:   Level: advanced

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

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

 93: /*@
 94:   SNESGetAlwaysComputesFinalResidual - checks if the `SNES` always computes the residual at the final solution

 96:   Logically Collective

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

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

104:   Level: advanced

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

116: /*@
117:   SNESSetFunctionDomainError - tells `SNES` that the input vector, a proposed new solution, to your function you provided to `SNESSetFunction()` is not
118:   in the functions domain. For example, a step with negative pressure.

120:   Logically Collective

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

125:   Level: advanced

127:   Notes:
128:   If this is called the `SNESSolve()` stops iterating and returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_DOMAIN`

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

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

135: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetJacobianDomainError()`, `SNESVISetVariableBounds()`,
136:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`
137: @*/
138: PetscErrorCode SNESSetFunctionDomainError(SNES snes)
139: {
140:   PetscFunctionBegin;
142:   PetscCheck(!snes->errorifnotconverged, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "User code indicates input vector is not in the function domain");
143:   snes->domainerror = PETSC_TRUE;
144:   PetscFunctionReturn(PETSC_SUCCESS);
145: }

147: /*@
148:   SNESSetJacobianDomainError - tells `SNES` that the function you provided to `SNESSetJacobian()` at the proposed step. For example there is a negative element transformation.

150:   Logically Collective

152:   Input Parameter:
153: . snes - the `SNES` context

155:   Level: advanced

157:   Notes:
158:   If this is called the `SNESSolve()` stops iterating and returns with a `SNESConvergedReason` of `SNES_DIVERGED_FUNCTION_DOMAIN`

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

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

165: .seealso: [](ch_snes), `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESVISetVariableBounds()`,
166:           `SNESVISetComputeVariableBounds()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESConvergedReason`, `SNESGetConvergedReason()`
167: @*/
168: PetscErrorCode SNESSetJacobianDomainError(SNES snes)
169: {
170:   PetscFunctionBegin;
172:   PetscCheck(!snes->errorifnotconverged, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "User code indicates computeJacobian does not make sense");
173:   snes->jacobiandomainerror = PETSC_TRUE;
174:   PetscFunctionReturn(PETSC_SUCCESS);
175: }

177: /*@
178:   SNESSetCheckJacobianDomainError - tells `SNESSolve()` whether to check if the user called `SNESSetJacobianDomainError()` Jacobian domain error after
179:   each Jacobian evaluation. By default, it checks for the Jacobian domain error in the debug mode, and does not check it in the optimized mode.

181:   Logically Collective

183:   Input Parameters:
184: + snes - the `SNES` context
185: - flg  - indicates if or not to check Jacobian domain error after each Jacobian evaluation

187:   Level: advanced

189:   Note:
190:   Checks require one extra parallel synchronization for each Jacobian evaluation

192: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESGetCheckJacobianDomainError()`
193: @*/
194: PetscErrorCode SNESSetCheckJacobianDomainError(SNES snes, PetscBool flg)
195: {
196:   PetscFunctionBegin;
198:   snes->checkjacdomainerror = flg;
199:   PetscFunctionReturn(PETSC_SUCCESS);
200: }

202: /*@
203:   SNESGetCheckJacobianDomainError - Get an indicator whether or not `SNES` is checking Jacobian domain errors after each Jacobian evaluation.

205:   Logically Collective

207:   Input Parameter:
208: . snes - the `SNES` context

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

213:   Level: advanced

215: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSetFunction()`, `SNESFunctionFn`, `SNESSetFunctionDomainError()`, `SNESSetCheckJacobianDomainError()`
216: @*/
217: PetscErrorCode SNESGetCheckJacobianDomainError(SNES snes, PetscBool *flg)
218: {
219:   PetscFunctionBegin;
221:   PetscAssertPointer(flg, 2);
222:   *flg = snes->checkjacdomainerror;
223:   PetscFunctionReturn(PETSC_SUCCESS);
224: }

226: /*@
227:   SNESGetFunctionDomainError - Gets the status of the domain error after a call to `SNESComputeFunction()`

229:   Logically Collective

231:   Input Parameter:
232: . snes - the `SNES` context

234:   Output Parameter:
235: . domainerror - Set to `PETSC_TRUE` if there's a domain error; `PETSC_FALSE` otherwise.

237:   Level: developer

239: .seealso: [](ch_snes), `SNES`, `SNESSetFunctionDomainError()`, `SNESComputeFunction()`
240: @*/
241: PetscErrorCode SNESGetFunctionDomainError(SNES snes, PetscBool *domainerror)
242: {
243:   PetscFunctionBegin;
245:   PetscAssertPointer(domainerror, 2);
246:   *domainerror = snes->domainerror;
247:   PetscFunctionReturn(PETSC_SUCCESS);
248: }

250: /*@
251:   SNESGetJacobianDomainError - Gets the status of the Jacobian domain error after a call to `SNESComputeJacobian()`

253:   Logically Collective

255:   Input Parameter:
256: . snes - the `SNES` context

258:   Output Parameter:
259: . domainerror - Set to `PETSC_TRUE` if there's a Jacobian domain error; `PETSC_FALSE` otherwise.

261:   Level: advanced

263: .seealso: [](ch_snes), `SNES`, `SNESSetFunctionDomainError()`, `SNESComputeFunction()`, `SNESGetFunctionDomainError()`
264: @*/
265: PetscErrorCode SNESGetJacobianDomainError(SNES snes, PetscBool *domainerror)
266: {
267:   PetscFunctionBegin;
269:   PetscAssertPointer(domainerror, 2);
270:   *domainerror = snes->jacobiandomainerror;
271:   PetscFunctionReturn(PETSC_SUCCESS);
272: }

274: /*@
275:   SNESLoad - Loads a `SNES` that has been stored in `PETSCVIEWERBINARY` with `SNESView()`.

277:   Collective

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

284:   Level: intermediate

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

289: .seealso: [](ch_snes), `SNES`, `PetscViewer`, `SNESCreate()`, `SNESType`, `PetscViewerBinaryOpen()`, `SNESView()`, `MatLoad()`, `VecLoad()`
290: @*/
291: PetscErrorCode SNESLoad(SNES snes, PetscViewer viewer)
292: {
293:   PetscBool isbinary;
294:   PetscInt  classid;
295:   char      type[256];
296:   KSP       ksp;
297:   DM        dm;
298:   DMSNES    dmsnes;

300:   PetscFunctionBegin;
303:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
304:   PetscCheck(isbinary, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerBinaryOpen()");

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

319: #include <petscdraw.h>
320: #if defined(PETSC_HAVE_SAWS)
321: #include <petscviewersaws.h>
322: #endif

324: /*@
325:   SNESViewFromOptions - View a `SNES` based on values in the options database

327:   Collective

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

334:   Level: intermediate

336: .seealso: [](ch_snes), `SNES`, `SNESView`, `PetscObjectViewFromOptions()`, `SNESCreate()`
337: @*/
338: PetscErrorCode SNESViewFromOptions(SNES A, PetscObject obj, const char name[])
339: {
340:   PetscFunctionBegin;
342:   PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
343:   PetscFunctionReturn(PETSC_SUCCESS);
344: }

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

348: /*@
349:   SNESView - Prints or visualizes the `SNES` data structure.

351:   Collective

353:   Input Parameters:
354: + snes   - the `SNES` context
355: - viewer - the `PetscViewer`

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

360:   Level: beginner

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

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

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

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

379: .seealso: [](ch_snes), `SNES`, `SNESLoad()`, `SNESCreate()`, `PetscViewerASCIIOpen()`
380: @*/
381: PetscErrorCode SNESView(SNES snes, PetscViewer viewer)
382: {
383:   SNESKSPEW     *kctx;
384:   KSP            ksp;
385:   SNESLineSearch linesearch;
386:   PetscBool      isascii, isstring, isbinary, isdraw;
387:   DMSNES         dmsnes;
388: #if defined(PETSC_HAVE_SAWS)
389:   PetscBool issaws;
390: #endif

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

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

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

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

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

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

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

550: /*
551:   We retain a list of functions that also take SNES command
552:   line options. These are called at the end SNESSetFromOptions()
553: */
554: #define MAXSETFROMOPTIONS 5
555: static PetscInt numberofsetfromoptions;
556: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

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

561:   Not Collective

563:   Input Parameter:
564: . snescheck - function that checks for options

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

569:   Level: developer

571: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
572: @*/
573: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
574: {
575:   PetscFunctionBegin;
576:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
577:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
578:   PetscFunctionReturn(PETSC_SUCCESS);
579: }

581: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
582: {
583:   Mat          J;
584:   MatNullSpace nullsp;

586:   PetscFunctionBegin;

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

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

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

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

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

645: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, void *ctx)
646: {
647:   SNES snes = (SNES)ctx;
648:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

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

676: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, void *ctx)
677: {
678:   PetscFunctionBegin;
679:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
680:   PetscFunctionReturn(PETSC_SUCCESS);
681: }

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

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

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

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

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

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

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

737: /*@
738:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

740:   Collective

742:   Input Parameter:
743: . snes - `SNES` object to configure

745:   Level: developer

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

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

755: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
756: @*/
757: PetscErrorCode SNESSetUpMatrices(SNES snes)
758: {
759:   DM     dm;
760:   DMSNES sdm;

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

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

808: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt, void *);

810: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
811: {
812:   PetscFunctionBegin;
813:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
814:   PetscCall(PetscMonitorPauseFinal_Internal(snes->numbermonitors, snes->monitorcontext));
815:   PetscFunctionReturn(PETSC_SUCCESS);
816: }

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

821:   Collective

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

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

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

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

844:   Level: advanced

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

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

872: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
873: {
874:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

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

897: /*@
898:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

900:   Collective

902:   Input Parameter:
903: . snes - the `SNES` context

905:   Options Database Keys:
906: + -snes_type <type>                                                            - newtonls, newtontr, ngmres, ncg, nrichardson, qn, vi, fas, `SNESType` for complete list
907: . -snes_rtol <rtol>                                                            - relative decrease in tolerance norm from initial
908: . -snes_atol <abstol>                                                          - absolute tolerance of residual norm
909: . -snes_stol <stol>                                                            - convergence tolerance in terms of the norm of the change in the solution between steps
910: . -snes_divergence_tolerance <divtol>                                          - if the residual goes above divtol*rnorm0, exit with divergence
911: . -snes_max_it <max_it>                                                        - maximum number of iterations
912: . -snes_max_funcs <max_funcs>                                                  - maximum number of function evaluations
913: . -snes_force_iteration <force>                                                - force `SNESSolve()` to take at least one iteration
914: . -snes_max_fail <max_fail>                                                    - maximum number of line search failures allowed before stopping, default is none
915: . -snes_max_linear_solve_fail                                                  - number of linear solver failures before SNESSolve() stops
916: . -snes_lag_preconditioner <lag>                                               - how often preconditioner is rebuilt (use -1 to never rebuild)
917: . -snes_lag_preconditioner_persists <true,false>                               - retains the -snes_lag_preconditioner information across multiple SNESSolve()
918: . -snes_lag_jacobian <lag>                                                     - how often Jacobian is rebuilt (use -1 to never rebuild)
919: . -snes_lag_jacobian_persists <true,false>                                     - retains the -snes_lag_jacobian information across multiple SNESSolve()
920: . -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.
921: . -snes_monitor [ascii][:filename][:viewer format]                             - prints residual norm at each iteration. if no filename given prints to stdout
922: . -snes_monitor_solution [ascii binary draw][:filename][:viewer format]        - plots solution at each iteration
923: . -snes_monitor_residual [ascii binary draw][:filename][:viewer format]        - plots residual (not its norm) at each iteration
924: . -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration
925: . -snes_monitor_lg_residualnorm                                                - plots residual norm at each iteration
926: . -snes_monitor_lg_range                                                       - plots residual norm at each iteration
927: . -snes_monitor_pause_final                                                    - Pauses all monitor drawing after the solver ends
928: . -snes_fd                                                                     - use finite differences to compute Jacobian; very slow, only for testing
929: . -snes_fd_color                                                               - use finite differences with coloring to compute Jacobian
930: . -snes_mf_ksp_monitor                                                         - if using matrix-free multiply then print h at each `KSP` iteration
931: . -snes_converged_reason                                                       - print the reason for convergence/divergence after each solve
932: . -npc_snes_type <type>                                                        - the `SNES` type to use as a nonlinear preconditioner
933: . -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.
934: - -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.

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

946:   Level: beginner

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

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

955: .seealso: [](ch_snes), `SNESType`, `SNESSetOptionsPrefix()`, `SNESResetFromOptions()`, `SNES`, `SNESCreate()`, `MatCreateSNESMF()`, `MatFDColoring`
956: @*/
957: PetscErrorCode SNESSetFromOptions(SNES snes)
958: {
959:   PetscBool   flg, pcset, persist, set;
960:   PetscInt    i, indx, lag, grids, max_its, max_funcs;
961:   const char *deft        = SNESNEWTONLS;
962:   const char *convtests[] = {"default", "skip", "correct_pressure"};
963:   SNESKSPEW  *kctx        = NULL;
964:   char        type[256], monfilename[PETSC_MAX_PATH_LEN], ewprefix[256];
965:   PCSide      pcside;
966:   const char *optionsprefix;
967:   PetscReal   rtol, abstol, stol;

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

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

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

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

999:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, &flg));
1000:   if (flg) PetscCall(SNESSetMaxLinearSolveFailures(snes, snes->maxLinearSolveFailures));

1002:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1003:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1004:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1006:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1007:   if (flg) {
1008:     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");
1009:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1010:   }
1011:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1012:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1013:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1014:   if (flg) {
1015:     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");
1016:     PetscCall(SNESSetLagJacobian(snes, lag));
1017:   }
1018:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1019:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1021:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1022:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1024:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1025:   if (flg) {
1026:     switch (indx) {
1027:     case 0:
1028:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1029:       break;
1030:     case 1:
1031:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1032:       break;
1033:     case 2:
1034:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1035:       break;
1036:     }
1037:   }

1039:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1040:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1042:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1043:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1045:   kctx = (SNESKSPEW *)snes->kspconvctx;

1047:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1049:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1050:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1051:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1053:   flg = PETSC_FALSE;
1054:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1055:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1057:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1058:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1059:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1061:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1062:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1063:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1064:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1065:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1066:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1068:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1070:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1071:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1073:   flg = PETSC_FALSE;
1074:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1075:   if (flg) {
1076:     PetscViewer ctx;

1078:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1079:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscCtxDestroyFn *)PetscViewerDestroy));
1080:   }

1082:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
1083:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &snes->convergedreasonviewer, &snes->convergedreasonformat, NULL));
1084:   flg = PETSC_FALSE;
1085:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1086:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1088:   flg = PETSC_FALSE;
1089:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1090:   if (flg) {
1091:     void *functx;
1092:     DM    dm;
1093:     PetscCall(SNESGetDM(snes, &dm));
1094:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1095:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1096:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1097:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1098:   }

1100:   flg = PETSC_FALSE;
1101:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1102:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1104:   flg = PETSC_FALSE;
1105:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1106:   if (flg) {
1107:     DM dm;
1108:     PetscCall(SNESGetDM(snes, &dm));
1109:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1110:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1111:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1112:   }

1114:   flg = PETSC_FALSE;
1115:   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));
1116:   if (flg && snes->mf_operator) {
1117:     snes->mf_operator = PETSC_TRUE;
1118:     snes->mf          = PETSC_TRUE;
1119:   }
1120:   flg = PETSC_FALSE;
1121:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no matrix for computing the preconditioner", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1122:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1123:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1125:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference functions", "None", &snes->testFunc));
1126:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &snes->testJac));

1128:   flg = PETSC_FALSE;
1129:   PetscCall(SNESGetNPCSide(snes, &pcside));
1130:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1131:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1133: #if defined(PETSC_HAVE_SAWS)
1134:   /*
1135:     Publish convergence information using SAWs
1136:   */
1137:   flg = PETSC_FALSE;
1138:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1139:   if (flg) {
1140:     void *ctx;
1141:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1142:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1143:   }
1144: #endif
1145: #if defined(PETSC_HAVE_SAWS)
1146:   {
1147:     PetscBool set;
1148:     flg = PETSC_FALSE;
1149:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1150:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1151:   }
1152: #endif

1154:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1156:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1158:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1159:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1160:   PetscOptionsEnd();

1162:   if (snes->linesearch) {
1163:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1164:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1165:   }

1167:   if (snes->usesksp) {
1168:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1169:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1170:     PetscCall(KSPSetFromOptions(snes->ksp));
1171:   }

1173:   /* if user has set the SNES NPC type via options database, create it. */
1174:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1175:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1176:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1177:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1178:   snes->setfromoptionscalled++;
1179:   PetscFunctionReturn(PETSC_SUCCESS);
1180: }

1182: /*@
1183:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1185:   Collective

1187:   Input Parameter:
1188: . snes - the `SNES` context

1190:   Level: advanced

1192: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1193: @*/
1194: PetscErrorCode SNESResetFromOptions(SNES snes)
1195: {
1196:   PetscFunctionBegin;
1197:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1198:   PetscFunctionReturn(PETSC_SUCCESS);
1199: }

1201: /*@C
1202:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1203:   the nonlinear solvers.

1205:   Logically Collective; No Fortran Support

1207:   Input Parameters:
1208: + snes    - the `SNES` context
1209: . compute - function to compute the context
1210: - destroy - function to destroy the context, see `PetscCtxDestroyFn` for the calling sequence

1212:   Calling sequence of `compute`:
1213: + snes - the `SNES` context
1214: - ctx  - context to be computed

1216:   Level: intermediate

1218:   Note:
1219:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1221:   Use `SNESSetApplicationContext()` to see the context immediately

1223: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`, `PetscCtxDestroyFn`
1224: @*/
1225: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, void **ctx), PetscCtxDestroyFn *destroy)
1226: {
1227:   PetscFunctionBegin;
1229:   snes->ops->usercompute = compute;
1230:   snes->ops->ctxdestroy  = destroy;
1231:   PetscFunctionReturn(PETSC_SUCCESS);
1232: }

1234: /*@
1235:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1237:   Logically Collective

1239:   Input Parameters:
1240: + snes - the `SNES` context
1241: - ctx  - the user context

1243:   Level: intermediate

1245:   Notes:
1246:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian computation, or other evaluation function
1247:   with `SNESGetApplicationContext()`

1249:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1251:   Fortran Note:
1252:   This only works when `ctx` is a Fortran derived type (it cannot be a `PetscObject`), we recommend writing a Fortran interface definition for this
1253:   function that tells the Fortran compiler the derived data type that is passed in as the `ctx` argument. See `SNESGetApplicationContext()` for
1254:   an example.

1256: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1257: @*/
1258: PetscErrorCode SNESSetApplicationContext(SNES snes, void *ctx)
1259: {
1260:   KSP ksp;

1262:   PetscFunctionBegin;
1264:   PetscCall(SNESGetKSP(snes, &ksp));
1265:   PetscCall(KSPSetApplicationContext(ksp, ctx));
1266:   snes->ctx = ctx;
1267:   PetscFunctionReturn(PETSC_SUCCESS);
1268: }

1270: /*@
1271:   SNESGetApplicationContext - Gets the user-defined context for the
1272:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1274:   Not Collective

1276:   Input Parameter:
1277: . snes - `SNES` context

1279:   Output Parameter:
1280: . ctx - user context

1282:   Level: intermediate

1284:   Fortran Notes:
1285:   This only works when the context is a Fortran derived type (it cannot be a `PetscObject`) and you **must** write a Fortran interface definition for this
1286:   function that tells the Fortran compiler the derived data type that is returned as the `ctx` argument. For example,
1287: .vb
1288:   Interface SNESGetApplicationContext
1289:     Subroutine SNESGetApplicationContext(snes,ctx,ierr)
1290:   #include <petsc/finclude/petscsnes.h>
1291:       use petscsnes
1292:       SNES snes
1293:       type(tUsertype), pointer :: ctx
1294:       PetscErrorCode ierr
1295:     End Subroutine
1296:   End Interface SNESGetApplicationContext
1297: .ve

1299:   The prototype for `ctx` must be
1300: .vb
1301:   type(tUsertype), pointer :: ctx
1302: .ve

1304: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1305: @*/
1306: PetscErrorCode SNESGetApplicationContext(SNES snes, PeCtx ctx)
1307: {
1308:   PetscFunctionBegin;
1310:   *(void **)ctx = snes->ctx;
1311:   PetscFunctionReturn(PETSC_SUCCESS);
1312: }

1314: /*@
1315:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1317:   Logically Collective

1319:   Input Parameters:
1320: + snes        - `SNES` context
1321: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1322: - 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
1323:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1325:   Options Database Keys:
1326: + -snes_mf_operator - use matrix-free only for the mat operator
1327: . -snes_mf          - use matrix-free for both the mat and pmat operator
1328: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1329: - -snes_fd          - compute the Jacobian via finite differences (slow)

1331:   Level: intermediate

1333:   Note:
1334:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1335:   and computing explicitly with
1336:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1338: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1339: @*/
1340: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1341: {
1342:   PetscFunctionBegin;
1346:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1347:   snes->mf_operator = mf_operator;
1348:   PetscFunctionReturn(PETSC_SUCCESS);
1349: }

1351: /*@
1352:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1354:   Not Collective, but the resulting flags will be the same on all MPI processes

1356:   Input Parameter:
1357: . snes - `SNES` context

1359:   Output Parameters:
1360: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1361: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1363:   Level: intermediate

1365: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1366: @*/
1367: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1368: {
1369:   PetscFunctionBegin;
1371:   if (mf) *mf = snes->mf;
1372:   if (mf_operator) *mf_operator = snes->mf_operator;
1373:   PetscFunctionReturn(PETSC_SUCCESS);
1374: }

1376: /*@
1377:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1379:   Not Collective

1381:   Input Parameter:
1382: . snes - `SNES` context

1384:   Output Parameter:
1385: . iter - iteration number

1387:   Level: intermediate

1389:   Notes:
1390:   For example, during the computation of iteration 2 this would return 1.

1392:   This is useful for using lagged Jacobians (where one does not recompute the
1393:   Jacobian at each `SNES` iteration). For example, the code
1394: .vb
1395:       ierr = SNESGetIterationNumber(snes,&it);
1396:       if (!(it % 2)) {
1397:         [compute Jacobian here]
1398:       }
1399: .ve
1400:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1401:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1403:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1405: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1406: @*/
1407: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1408: {
1409:   PetscFunctionBegin;
1411:   PetscAssertPointer(iter, 2);
1412:   *iter = snes->iter;
1413:   PetscFunctionReturn(PETSC_SUCCESS);
1414: }

1416: /*@
1417:   SNESSetIterationNumber - Sets the current iteration number.

1419:   Not Collective

1421:   Input Parameters:
1422: + snes - `SNES` context
1423: - iter - iteration number

1425:   Level: developer

1427:   Note:
1428:   This should only be called inside a `SNES` nonlinear solver.

1430: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1431: @*/
1432: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1433: {
1434:   PetscFunctionBegin;
1436:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1437:   snes->iter = iter;
1438:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1439:   PetscFunctionReturn(PETSC_SUCCESS);
1440: }

1442: /*@
1443:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1444:   attempted by the nonlinear solver in the current or most recent `SNESSolve()` .

1446:   Not Collective

1448:   Input Parameter:
1449: . snes - `SNES` context

1451:   Output Parameter:
1452: . nfails - number of unsuccessful steps attempted

1454:   Level: intermediate

1456:   Note:
1457:   This counter is reset to zero for each successive call to `SNESSolve()`.

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

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

1475:   Not Collective

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

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

1484:   Level: intermediate

1486:   Developer Note:
1487:   The options database key is wrong for this function name

1489: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1490:           `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1491: @*/
1492: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1493: {
1494:   PetscFunctionBegin;

1497:   if (maxFails == PETSC_UNLIMITED) {
1498:     snes->maxFailures = PETSC_INT_MAX;
1499:   } else {
1500:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1501:     snes->maxFailures = maxFails;
1502:   }
1503:   PetscFunctionReturn(PETSC_SUCCESS);
1504: }

1506: /*@
1507:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1508:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1510:   Not Collective

1512:   Input Parameter:
1513: . snes - `SNES` context

1515:   Output Parameter:
1516: . maxFails - maximum of unsuccessful steps

1518:   Level: intermediate

1520: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1521:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1522: @*/
1523: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1524: {
1525:   PetscFunctionBegin;
1527:   PetscAssertPointer(maxFails, 2);
1528:   *maxFails = snes->maxFailures;
1529:   PetscFunctionReturn(PETSC_SUCCESS);
1530: }

1532: /*@
1533:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1534:   done by the `SNES` object in the current or most recent `SNESSolve()`

1536:   Not Collective

1538:   Input Parameter:
1539: . snes - `SNES` context

1541:   Output Parameter:
1542: . nfuncs - number of evaluations

1544:   Level: intermediate

1546:   Note:
1547:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1549: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1550: @*/
1551: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1552: {
1553:   PetscFunctionBegin;
1555:   PetscAssertPointer(nfuncs, 2);
1556:   *nfuncs = snes->nfuncs;
1557:   PetscFunctionReturn(PETSC_SUCCESS);
1558: }

1560: /*@
1561:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1562:   linear solvers in the current or most recent `SNESSolve()`

1564:   Not Collective

1566:   Input Parameter:
1567: . snes - `SNES` context

1569:   Output Parameter:
1570: . nfails - number of failed solves

1572:   Options Database Key:
1573: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1575:   Level: intermediate

1577:   Note:
1578:   This counter is reset to zero for each successive call to `SNESSolve()`.

1580: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1581: @*/
1582: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1583: {
1584:   PetscFunctionBegin;
1586:   PetscAssertPointer(nfails, 2);
1587:   *nfails = snes->numLinearSolveFailures;
1588:   PetscFunctionReturn(PETSC_SUCCESS);
1589: }

1591: /*@
1592:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1593:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1595:   Logically Collective

1597:   Input Parameters:
1598: + snes     - `SNES` context
1599: - maxFails - maximum allowed linear solve failures, use `PETSC_UNLIMITED` to have no limit on the number of failures

1601:   Options Database Key:
1602: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1604:   Level: intermediate

1606:   Note:
1607:   By default this is 0; that is `SNES` returns on the first failed linear solve

1609:   Developer Note:
1610:   The options database key is wrong for this function name

1612: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1613: @*/
1614: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1615: {
1616:   PetscFunctionBegin;

1620:   if (maxFails == PETSC_UNLIMITED) {
1621:     snes->maxLinearSolveFailures = PETSC_INT_MAX;
1622:   } else {
1623:     PetscCheck(maxFails >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Cannot have a negative maximum number of failures");
1624:     snes->maxLinearSolveFailures = maxFails;
1625:   }
1626:   PetscFunctionReturn(PETSC_SUCCESS);
1627: }

1629: /*@
1630:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1631:   are allowed before `SNES` returns as unsuccessful

1633:   Not Collective

1635:   Input Parameter:
1636: . snes - `SNES` context

1638:   Output Parameter:
1639: . maxFails - maximum of unsuccessful solves allowed

1641:   Level: intermediate

1643:   Note:
1644:   By default this is 1; that is `SNES` returns on the first failed linear solve

1646: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1647: @*/
1648: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1649: {
1650:   PetscFunctionBegin;
1652:   PetscAssertPointer(maxFails, 2);
1653:   *maxFails = snes->maxLinearSolveFailures;
1654:   PetscFunctionReturn(PETSC_SUCCESS);
1655: }

1657: /*@
1658:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1659:   used by the nonlinear solver in the most recent `SNESSolve()`

1661:   Not Collective

1663:   Input Parameter:
1664: . snes - `SNES` context

1666:   Output Parameter:
1667: . lits - number of linear iterations

1669:   Level: intermediate

1671:   Notes:
1672:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1674:   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
1675:   then call `KSPGetIterationNumber()` after the failed solve.

1677: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1678: @*/
1679: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1680: {
1681:   PetscFunctionBegin;
1683:   PetscAssertPointer(lits, 2);
1684:   *lits = snes->linear_its;
1685:   PetscFunctionReturn(PETSC_SUCCESS);
1686: }

1688: /*@
1689:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1690:   are reset every time `SNESSolve()` is called.

1692:   Logically Collective

1694:   Input Parameters:
1695: + snes  - `SNES` context
1696: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1698:   Level: developer

1700: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1701: @*/
1702: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1703: {
1704:   PetscFunctionBegin;
1707:   snes->counters_reset = reset;
1708:   PetscFunctionReturn(PETSC_SUCCESS);
1709: }

1711: /*@
1712:   SNESResetCounters - Reset counters for linear iterations and function evaluations.

1714:   Logically Collective

1716:   Input Parameters:
1717: . snes - `SNES` context

1719:   Level: developer

1721:   Note:
1722:   It honors the flag set with `SNESSetCountersReset()`

1724: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1725: @*/
1726: PetscErrorCode SNESResetCounters(SNES snes)
1727: {
1728:   PetscFunctionBegin;
1730:   if (snes->counters_reset) {
1731:     snes->nfuncs      = 0;
1732:     snes->linear_its  = 0;
1733:     snes->numFailures = 0;
1734:   }
1735:   PetscFunctionReturn(PETSC_SUCCESS);
1736: }

1738: /*@
1739:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1741:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1743:   Input Parameters:
1744: + snes - the `SNES` context
1745: - ksp  - the `KSP` context

1747:   Level: developer

1749:   Notes:
1750:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1751:   so this routine is rarely needed.

1753:   The `KSP` object that is already in the `SNES` object has its reference count
1754:   decreased by one when this is called.

1756: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1757: @*/
1758: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1759: {
1760:   PetscFunctionBegin;
1763:   PetscCheckSameComm(snes, 1, ksp, 2);
1764:   PetscCall(PetscObjectReference((PetscObject)ksp));
1765:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1766:   snes->ksp = ksp;
1767:   PetscFunctionReturn(PETSC_SUCCESS);
1768: }

1770: /*@
1771:   SNESParametersInitialize - Sets all the parameters in `snes` to their default value (when `SNESCreate()` was called) if they
1772:   currently contain default values

1774:   Collective

1776:   Input Parameter:
1777: . snes - the `SNES` object

1779:   Level: developer

1781:   Developer Note:
1782:   This is called by all the `SNESCreate_XXX()` routines.

1784: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`,
1785:           `PetscObjectParameterSetDefault()`
1786: @*/
1787: PetscErrorCode SNESParametersInitialize(SNES snes)
1788: {
1789:   PetscObjectParameterSetDefault(snes, max_its, 50);
1790:   PetscObjectParameterSetDefault(snes, max_funcs, 10000);
1791:   PetscObjectParameterSetDefault(snes, rtol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1792:   PetscObjectParameterSetDefault(snes, abstol, PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50);
1793:   PetscObjectParameterSetDefault(snes, stol, PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8);
1794:   PetscObjectParameterSetDefault(snes, divtol, 1.e4);
1795:   return PETSC_SUCCESS;
1796: }

1798: /*@
1799:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1801:   Collective

1803:   Input Parameter:
1804: . comm - MPI communicator

1806:   Output Parameter:
1807: . outsnes - the new `SNES` context

1809:   Options Database Keys:
1810: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no matrix to construct a preconditioner
1811: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided matrix as set by `SNESSetJacobian()`
1812: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1813: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1815:   Level: beginner

1817:   Developer Notes:
1818:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1819:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1820:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1821:   in `SNESView()`.

1823:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1824:   by help messages about meaningless `SNES` options.

1826:   `SNES` always creates the `snes->kspconvctx` even though it is used by only one type. This should be fixed.

1828: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1829: @*/
1830: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1831: {
1832:   SNES       snes;
1833:   SNESKSPEW *kctx;

1835:   PetscFunctionBegin;
1836:   PetscAssertPointer(outsnes, 2);
1837:   PetscCall(SNESInitializePackage());

1839:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));
1840:   snes->ops->converged = SNESConvergedDefault;
1841:   snes->usesksp        = PETSC_TRUE;
1842:   snes->norm           = 0.0;
1843:   snes->xnorm          = 0.0;
1844:   snes->ynorm          = 0.0;
1845:   snes->normschedule   = SNES_NORM_ALWAYS;
1846:   snes->functype       = SNES_FUNCTION_DEFAULT;
1847:   snes->ttol           = 0.0;

1849:   snes->rnorm0               = 0;
1850:   snes->nfuncs               = 0;
1851:   snes->numFailures          = 0;
1852:   snes->maxFailures          = 1;
1853:   snes->linear_its           = 0;
1854:   snes->lagjacobian          = 1;
1855:   snes->jac_iter             = 0;
1856:   snes->lagjac_persist       = PETSC_FALSE;
1857:   snes->lagpreconditioner    = 1;
1858:   snes->pre_iter             = 0;
1859:   snes->lagpre_persist       = PETSC_FALSE;
1860:   snes->numbermonitors       = 0;
1861:   snes->numberreasonviews    = 0;
1862:   snes->data                 = NULL;
1863:   snes->setupcalled          = PETSC_FALSE;
1864:   snes->ksp_ewconv           = PETSC_FALSE;
1865:   snes->nwork                = 0;
1866:   snes->work                 = NULL;
1867:   snes->nvwork               = 0;
1868:   snes->vwork                = NULL;
1869:   snes->conv_hist_len        = 0;
1870:   snes->conv_hist_max        = 0;
1871:   snes->conv_hist            = NULL;
1872:   snes->conv_hist_its        = NULL;
1873:   snes->conv_hist_reset      = PETSC_TRUE;
1874:   snes->counters_reset       = PETSC_TRUE;
1875:   snes->vec_func_init_set    = PETSC_FALSE;
1876:   snes->reason               = SNES_CONVERGED_ITERATING;
1877:   snes->npcside              = PC_RIGHT;
1878:   snes->setfromoptionscalled = 0;

1880:   snes->mf          = PETSC_FALSE;
1881:   snes->mf_operator = PETSC_FALSE;
1882:   snes->mf_version  = 1;

1884:   snes->numLinearSolveFailures = 0;
1885:   snes->maxLinearSolveFailures = 1;

1887:   snes->vizerotolerance     = 1.e-8;
1888:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1890:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1891:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1893:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1894:   PetscCall(PetscNew(&kctx));

1896:   snes->kspconvctx  = kctx;
1897:   kctx->version     = 2;
1898:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1899:                              this was too large for some test cases */
1900:   kctx->rtol_last   = 0.0;
1901:   kctx->rtol_max    = 0.9;
1902:   kctx->gamma       = 1.0;
1903:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1904:   kctx->alpha2      = kctx->alpha;
1905:   kctx->threshold   = 0.1;
1906:   kctx->lresid_last = 0.0;
1907:   kctx->norm_last   = 0.0;

1909:   kctx->rk_last     = 0.0;
1910:   kctx->rk_last_2   = 0.0;
1911:   kctx->rtol_last_2 = 0.0;
1912:   kctx->v4_p1       = 0.1;
1913:   kctx->v4_p2       = 0.4;
1914:   kctx->v4_p3       = 0.7;
1915:   kctx->v4_m1       = 0.8;
1916:   kctx->v4_m2       = 0.5;
1917:   kctx->v4_m3       = 0.1;
1918:   kctx->v4_m4       = 0.5;

1920:   PetscCall(SNESParametersInitialize(snes));
1921:   *outsnes = snes;
1922:   PetscFunctionReturn(PETSC_SUCCESS);
1923: }

1925: /*@C
1926:   SNESSetFunction - Sets the function evaluation routine and function
1927:   vector for use by the `SNES` routines in solving systems of nonlinear
1928:   equations.

1930:   Logically Collective

1932:   Input Parameters:
1933: + snes - the `SNES` context
1934: . r    - vector to store function values, may be `NULL`
1935: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1936: - ctx  - [optional] user-defined context for private data for the
1937:          function evaluation routine (may be `NULL`)

1939:   Level: beginner

1941: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1942: @*/
1943: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, void *ctx)
1944: {
1945:   DM dm;

1947:   PetscFunctionBegin;
1949:   if (r) {
1951:     PetscCheckSameComm(snes, 1, r, 2);
1952:     PetscCall(PetscObjectReference((PetscObject)r));
1953:     PetscCall(VecDestroy(&snes->vec_func));
1954:     snes->vec_func = r;
1955:   }
1956:   PetscCall(SNESGetDM(snes, &dm));
1957:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1958:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1959:   PetscFunctionReturn(PETSC_SUCCESS);
1960: }

1962: /*@C
1963:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1965:   Logically Collective

1967:   Input Parameters:
1968: + snes - the `SNES` context
1969: - f    - vector to store function value

1971:   Level: developer

1973:   Notes:
1974:   This should not be modified during the solution procedure.

1976:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1978: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1979: @*/
1980: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1981: {
1982:   Vec vec_func;

1984:   PetscFunctionBegin;
1987:   PetscCheckSameComm(snes, 1, f, 2);
1988:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1989:     snes->vec_func_init_set = PETSC_FALSE;
1990:     PetscFunctionReturn(PETSC_SUCCESS);
1991:   }
1992:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
1993:   PetscCall(VecCopy(f, vec_func));

1995:   snes->vec_func_init_set = PETSC_TRUE;
1996:   PetscFunctionReturn(PETSC_SUCCESS);
1997: }

1999: /*@
2000:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
2001:   of the `SNES` method, when norms are computed in the solving process

2003:   Logically Collective

2005:   Input Parameters:
2006: + snes         - the `SNES` context
2007: - normschedule - the frequency of norm computation

2009:   Options Database Key:
2010: . -snes_norm_schedule <none, always, initialonly, finalonly, initialfinalonly> - set the schedule

2012:   Level: advanced

2014:   Notes:
2015:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
2016:   of the nonlinear function and the taking of its norm at every iteration to
2017:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
2018:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
2019:   may either be monitored for convergence or not.  As these are often used as nonlinear
2020:   preconditioners, monitoring the norm of their error is not a useful enterprise within
2021:   their solution.

2023: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
2024: @*/
2025: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
2026: {
2027:   PetscFunctionBegin;
2029:   snes->normschedule = normschedule;
2030:   PetscFunctionReturn(PETSC_SUCCESS);
2031: }

2033: /*@
2034:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
2035:   of the `SNES` method.

2037:   Logically Collective

2039:   Input Parameters:
2040: + snes         - the `SNES` context
2041: - normschedule - the type of the norm used

2043:   Level: advanced

2045: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2046: @*/
2047: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
2048: {
2049:   PetscFunctionBegin;
2051:   *normschedule = snes->normschedule;
2052:   PetscFunctionReturn(PETSC_SUCCESS);
2053: }

2055: /*@
2056:   SNESSetFunctionNorm - Sets the last computed residual norm.

2058:   Logically Collective

2060:   Input Parameters:
2061: + snes - the `SNES` context
2062: - norm - the value of the norm

2064:   Level: developer

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

2076: /*@
2077:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2079:   Not Collective

2081:   Input Parameter:
2082: . snes - the `SNES` context

2084:   Output Parameter:
2085: . norm - the last computed residual norm

2087:   Level: developer

2089: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2090: @*/
2091: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2092: {
2093:   PetscFunctionBegin;
2095:   PetscAssertPointer(norm, 2);
2096:   *norm = snes->norm;
2097:   PetscFunctionReturn(PETSC_SUCCESS);
2098: }

2100: /*@
2101:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2103:   Not Collective

2105:   Input Parameter:
2106: . snes - the `SNES` context

2108:   Output Parameter:
2109: . ynorm - the last computed update norm

2111:   Level: developer

2113:   Note:
2114:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2116: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2117: @*/
2118: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2119: {
2120:   PetscFunctionBegin;
2122:   PetscAssertPointer(ynorm, 2);
2123:   *ynorm = snes->ynorm;
2124:   PetscFunctionReturn(PETSC_SUCCESS);
2125: }

2127: /*@
2128:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2130:   Not Collective

2132:   Input Parameter:
2133: . snes - the `SNES` context

2135:   Output Parameter:
2136: . xnorm - the last computed solution norm

2138:   Level: developer

2140: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2141: @*/
2142: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2143: {
2144:   PetscFunctionBegin;
2146:   PetscAssertPointer(xnorm, 2);
2147:   *xnorm = snes->xnorm;
2148:   PetscFunctionReturn(PETSC_SUCCESS);
2149: }

2151: /*@
2152:   SNESSetFunctionType - Sets the `SNESFunctionType`
2153:   of the `SNES` method.

2155:   Logically Collective

2157:   Input Parameters:
2158: + snes - the `SNES` context
2159: - type - the function type

2161:   Level: developer

2163:   Values of the function type\:
2164: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2165: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2166: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2168:   Note:
2169:   Different `SNESType`s use this value in different ways

2171: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2172: @*/
2173: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2174: {
2175:   PetscFunctionBegin;
2177:   snes->functype = type;
2178:   PetscFunctionReturn(PETSC_SUCCESS);
2179: }

2181: /*@
2182:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2183:   of the SNES method.

2185:   Logically Collective

2187:   Input Parameters:
2188: + snes - the `SNES` context
2189: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2191:   Level: advanced

2193: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2194: @*/
2195: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2196: {
2197:   PetscFunctionBegin;
2199:   *type = snes->functype;
2200:   PetscFunctionReturn(PETSC_SUCCESS);
2201: }

2203: /*@C
2204:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2205:   use with composed nonlinear solvers.

2207:   Input Parameters:
2208: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2209: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2210: - ctx  - [optional] user-defined context for private data for the smoother evaluation routine (may be `NULL`)

2212:   Level: intermediate

2214:   Note:
2215:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2216:   a problem appropriate update to the solution, particularly `SNESFAS`.

2218: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2219: @*/
2220: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, void *ctx)
2221: {
2222:   DM dm;

2224:   PetscFunctionBegin;
2226:   PetscCall(SNESGetDM(snes, &dm));
2227:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2228:   PetscFunctionReturn(PETSC_SUCCESS);
2229: }

2231: /*
2232:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2233:    changed during the KSPSolve()
2234: */
2235: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, void *ctx)
2236: {
2237:   DM     dm;
2238:   DMSNES sdm;

2240:   PetscFunctionBegin;
2241:   PetscCall(SNESGetDM(snes, &dm));
2242:   PetscCall(DMGetDMSNES(dm, &sdm));
2243:   /*  A(x)*x - b(x) */
2244:   if (sdm->ops->computepfunction) {
2245:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2246:     PetscCall(VecScale(f, -1.0));
2247:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2248:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2249:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2250:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2251:   } else {
2252:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2253:     PetscCall(MatMult(snes->picard, x, f));
2254:   }
2255:   PetscFunctionReturn(PETSC_SUCCESS);
2256: }

2258: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, void *ctx)
2259: {
2260:   DM     dm;
2261:   DMSNES sdm;

2263:   PetscFunctionBegin;
2264:   PetscCall(SNESGetDM(snes, &dm));
2265:   PetscCall(DMGetDMSNES(dm, &sdm));
2266:   /*  A(x)*x - b(x) */
2267:   if (sdm->ops->computepfunction) {
2268:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2269:     PetscCall(VecScale(f, -1.0));
2270:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2271:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2272:   } else {
2273:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2274:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2275:   }
2276:   PetscFunctionReturn(PETSC_SUCCESS);
2277: }

2279: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, void *ctx)
2280: {
2281:   PetscFunctionBegin;
2282:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2283:   /* must assembly if matrix-free to get the last SNES solution */
2284:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2285:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2286:   PetscFunctionReturn(PETSC_SUCCESS);
2287: }

2289: /*@C
2290:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2292:   Logically Collective

2294:   Input Parameters:
2295: + snes - the `SNES` context
2296: . r    - vector to store function values, may be `NULL`
2297: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2298: . Amat - matrix with which $A(x) x - bp(x) - b$ is to be computed
2299: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2300: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2301: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2303:   Level: intermediate

2305:   Notes:
2306:   It is often better to provide the nonlinear function $F()$ and some approximation to its Jacobian directly and use
2307:   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.

2309:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2311:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2312:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2314:   Run with `-snes_mf_operator` to solve the system with Newton's method using $A(x^{n})$ to construct the preconditioner.

2316:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2317:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2319:   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
2320:   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
2321:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2323:   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
2324:   $A(x^{n})$ is used to build the preconditioner

2326:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2328:   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
2329:   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
2330:   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`.
2331:   See the comment in src/snes/tutorials/ex15.c.

2333: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2334:           `SNESFunctionFn`, `SNESJacobianFn`
2335: @*/
2336: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
2337: {
2338:   DM dm;

2340:   PetscFunctionBegin;
2342:   PetscCall(SNESGetDM(snes, &dm));
2343:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2344:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2345:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2346:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2347:   PetscFunctionReturn(PETSC_SUCCESS);
2348: }

2350: /*@C
2351:   SNESGetPicard - Returns the context for the Picard iteration

2353:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2355:   Input Parameter:
2356: . snes - the `SNES` context

2358:   Output Parameters:
2359: + r    - the function (or `NULL`)
2360: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2361: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2362: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2363: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2364: - ctx  - the function context (or `NULL`)

2366:   Level: advanced

2368: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2369: @*/
2370: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
2371: {
2372:   DM dm;

2374:   PetscFunctionBegin;
2376:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2377:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2378:   PetscCall(SNESGetDM(snes, &dm));
2379:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2380:   PetscFunctionReturn(PETSC_SUCCESS);
2381: }

2383: /*@C
2384:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2386:   Logically Collective

2388:   Input Parameters:
2389: + snes - the `SNES` context
2390: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2391: - ctx  - [optional] user-defined context for private data for the
2392:          function evaluation routine (may be `NULL`)

2394:   Level: intermediate

2396: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2397: @*/
2398: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, void *ctx)
2399: {
2400:   PetscFunctionBegin;
2402:   if (func) snes->ops->computeinitialguess = func;
2403:   if (ctx) snes->initialguessP = ctx;
2404:   PetscFunctionReturn(PETSC_SUCCESS);
2405: }

2407: /*@C
2408:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2409:   it assumes a zero right-hand side.

2411:   Logically Collective

2413:   Input Parameter:
2414: . snes - the `SNES` context

2416:   Output Parameter:
2417: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2419:   Level: intermediate

2421: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2422: @*/
2423: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2424: {
2425:   PetscFunctionBegin;
2427:   PetscAssertPointer(rhs, 2);
2428:   *rhs = snes->vec_rhs;
2429:   PetscFunctionReturn(PETSC_SUCCESS);
2430: }

2432: /*@
2433:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2435:   Collective

2437:   Input Parameters:
2438: + snes - the `SNES` context
2439: - x    - input vector

2441:   Output Parameter:
2442: . y - function vector, as set by `SNESSetFunction()`

2444:   Level: developer

2446:   Notes:
2447:   `SNESComputeFunction()` is typically used within nonlinear solvers
2448:   implementations, so users would not generally call this routine themselves.

2450:   When solving for $F(x) = b$, this routine computes $y = F(x) - b$.

2452: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`
2453: @*/
2454: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec y)
2455: {
2456:   DM     dm;
2457:   DMSNES sdm;

2459:   PetscFunctionBegin;
2463:   PetscCheckSameComm(snes, 1, x, 2);
2464:   PetscCheckSameComm(snes, 1, y, 3);
2465:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2467:   PetscCall(SNESGetDM(snes, &dm));
2468:   PetscCall(DMGetDMSNES(dm, &sdm));
2469:   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().");
2470:   if (sdm->ops->computefunction) {
2471:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2472:     PetscCall(VecLockReadPush(x));
2473:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2474:     snes->domainerror = PETSC_FALSE;
2475:     {
2476:       void           *ctx;
2477:       SNESFunctionFn *computefunction;
2478:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2479:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, y, ctx));
2480:     }
2481:     PetscCall(VecLockReadPop(x));
2482:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2483:   } else /* if (snes->vec_rhs) */ {
2484:     PetscCall(MatMult(snes->jacobian, x, y));
2485:   }
2486:   if (snes->vec_rhs) PetscCall(VecAXPY(y, -1.0, snes->vec_rhs));
2487:   snes->nfuncs++;
2488:   /*
2489:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2490:      propagate the value to all processes
2491:   */
2492:   PetscCall(VecFlag(y, snes->domainerror));
2493:   PetscFunctionReturn(PETSC_SUCCESS);
2494: }

2496: /*@
2497:   SNESComputeMFFunction - Calls the function that has been set with `DMSNESSetMFFunction()`.

2499:   Collective

2501:   Input Parameters:
2502: + snes - the `SNES` context
2503: - x    - input vector

2505:   Output Parameter:
2506: . y - output vector

2508:   Level: developer

2510:   Notes:
2511:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2512:   so users would not generally call this routine themselves.

2514:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2515:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2516:   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.

2518: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF()`, `DMSNESSetMFFunction()`
2519: @*/
2520: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2521: {
2522:   DM     dm;
2523:   DMSNES sdm;

2525:   PetscFunctionBegin;
2529:   PetscCheckSameComm(snes, 1, x, 2);
2530:   PetscCheckSameComm(snes, 1, y, 3);
2531:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2533:   PetscCall(SNESGetDM(snes, &dm));
2534:   PetscCall(DMGetDMSNES(dm, &sdm));
2535:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2536:   PetscCall(VecLockReadPush(x));
2537:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2538:   snes->domainerror = PETSC_FALSE;
2539:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2540:   PetscCall(VecLockReadPop(x));
2541:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2542:   snes->nfuncs++;
2543:   /*
2544:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2545:      propagate the value to all processes
2546:   */
2547:   PetscCall(VecFlag(y, snes->domainerror));
2548:   PetscFunctionReturn(PETSC_SUCCESS);
2549: }

2551: /*@
2552:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2554:   Collective

2556:   Input Parameters:
2557: + snes - the `SNES` context
2558: . x    - input vector
2559: - b    - rhs vector

2561:   Output Parameter:
2562: . x - new solution vector

2564:   Level: developer

2566:   Note:
2567:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2568:   implementations, so most users would not generally call this routine
2569:   themselves.

2571: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2572: @*/
2573: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2574: {
2575:   DM     dm;
2576:   DMSNES sdm;

2578:   PetscFunctionBegin;
2582:   PetscCheckSameComm(snes, 1, x, 3);
2583:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2584:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2585:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2586:   PetscCall(SNESGetDM(snes, &dm));
2587:   PetscCall(DMGetDMSNES(dm, &sdm));
2588:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2589:   if (b) PetscCall(VecLockReadPush(b));
2590:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2591:   if (b) PetscCall(VecLockReadPop(b));
2592:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2593:   PetscFunctionReturn(PETSC_SUCCESS);
2594: }

2596: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2597: {
2598:   Vec          X;
2599:   PetscScalar *g;
2600:   PetscReal    f, f2;
2601:   PetscInt     low, high, N, i;
2602:   PetscBool    flg;
2603:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2605:   PetscFunctionBegin;
2606:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2607:   PetscCall(VecDuplicate(Xin, &X));
2608:   PetscCall(VecCopy(Xin, X));
2609:   PetscCall(VecGetSize(X, &N));
2610:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2611:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2612:   PetscCall(VecGetArray(G, &g));
2613:   for (i = 0; i < N; i++) {
2614:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2615:     PetscCall(VecAssemblyBegin(X));
2616:     PetscCall(VecAssemblyEnd(X));
2617:     PetscCall(SNESComputeObjective(snes, X, &f));
2618:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2619:     PetscCall(VecAssemblyBegin(X));
2620:     PetscCall(VecAssemblyEnd(X));
2621:     PetscCall(SNESComputeObjective(snes, X, &f2));
2622:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2623:     PetscCall(VecAssemblyBegin(X));
2624:     PetscCall(VecAssemblyEnd(X));
2625:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2626:   }
2627:   PetscCall(VecRestoreArray(G, &g));
2628:   PetscCall(VecDestroy(&X));
2629:   PetscFunctionReturn(PETSC_SUCCESS);
2630: }

2632: /*@
2633:   SNESTestFunction - Computes the difference between the computed and finite-difference functions

2635:   Collective

2637:   Input Parameter:
2638: . snes - the `SNES` context

2640:   Options Database Keys:
2641: + -snes_test_function      - compare the user provided function with one compute via finite differences to check for errors.
2642: - -snes_test_function_view - display the user provided function, the finite difference function and the difference

2644:   Level: developer

2646: .seealso: [](ch_snes), `SNESTestJacobian()`, `SNESSetFunction()`, `SNESComputeFunction()`
2647: @*/
2648: PetscErrorCode SNESTestFunction(SNES snes)
2649: {
2650:   Vec               x, g1, g2, g3;
2651:   PetscBool         complete_print = PETSC_FALSE;
2652:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2653:   PetscScalar       dot;
2654:   MPI_Comm          comm;
2655:   PetscViewer       viewer, mviewer;
2656:   PetscViewerFormat format;
2657:   PetscInt          tabs;
2658:   static PetscBool  directionsprinted = PETSC_FALSE;
2659:   SNESObjectiveFn  *objective;

2661:   PetscFunctionBegin;
2662:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2663:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2665:   PetscObjectOptionsBegin((PetscObject)snes);
2666:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2667:   PetscOptionsEnd();

2669:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2670:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2671:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2672:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2673:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2674:   if (!complete_print && !directionsprinted) {
2675:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2676:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2677:   }
2678:   if (!directionsprinted) {
2679:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2680:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2681:     directionsprinted = PETSC_TRUE;
2682:   }
2683:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2685:   PetscCall(SNESGetSolution(snes, &x));
2686:   PetscCall(VecDuplicate(x, &g1));
2687:   PetscCall(VecDuplicate(x, &g2));
2688:   PetscCall(VecDuplicate(x, &g3));
2689:   PetscCall(SNESComputeFunction(snes, x, g1));
2690:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2692:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2693:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2694:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2695:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2696:   PetscCall(VecDot(g1, g2, &dot));
2697:   PetscCall(VecCopy(g1, g3));
2698:   PetscCall(VecAXPY(g3, -1.0, g2));
2699:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2700:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2701:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2702:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2703:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2705:   if (complete_print) {
2706:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2707:     PetscCall(VecView(g1, mviewer));
2708:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2709:     PetscCall(VecView(g2, mviewer));
2710:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2711:     PetscCall(VecView(g3, mviewer));
2712:   }
2713:   PetscCall(VecDestroy(&g1));
2714:   PetscCall(VecDestroy(&g2));
2715:   PetscCall(VecDestroy(&g3));

2717:   if (complete_print) {
2718:     PetscCall(PetscViewerPopFormat(mviewer));
2719:     PetscCall(PetscViewerDestroy(&mviewer));
2720:   }
2721:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2722:   PetscFunctionReturn(PETSC_SUCCESS);
2723: }

2725: /*@
2726:   SNESTestJacobian - Computes the difference between the computed and finite-difference Jacobians

2728:   Collective

2730:   Input Parameter:
2731: . snes - the `SNES` context

2733:   Output Parameters:
2734: + Jnorm    - the Frobenius norm of the computed Jacobian, or `NULL`
2735: - diffNorm - the Frobenius norm of the difference of the computed and finite-difference Jacobians, or `NULL`

2737:   Options Database Keys:
2738: + -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.
2739: - -snes_test_jacobian_view                 - display the user provided Jacobian, the finite difference Jacobian and the difference

2741:   Level: developer

2743:   Note:
2744:   Directions and norms are printed to stdout if `diffNorm` is `NULL`.

2746: .seealso: [](ch_snes), `SNESTestFunction()`, `SNESSetJacobian()`, `SNESComputeJacobian()`
2747: @*/
2748: PetscErrorCode SNESTestJacobian(SNES snes, PetscReal *Jnorm, PetscReal *diffNorm)
2749: {
2750:   Mat               A, B, C, D, jacobian;
2751:   Vec               x = snes->vec_sol, f;
2752:   PetscReal         nrm, gnorm;
2753:   PetscReal         threshold = 1.e-5;
2754:   MatType           mattype;
2755:   PetscInt          m, n, M, N;
2756:   void             *functx;
2757:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, flg, istranspose;
2758:   PetscBool         silent = diffNorm != PETSC_NULLPTR ? PETSC_TRUE : PETSC_FALSE;
2759:   PetscViewer       viewer, mviewer;
2760:   MPI_Comm          comm;
2761:   PetscInt          tabs;
2762:   static PetscBool  directionsprinted = PETSC_FALSE;
2763:   PetscViewerFormat format;

2765:   PetscFunctionBegin;
2766:   PetscObjectOptionsBegin((PetscObject)snes);
2767:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2768:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2769:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2770:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2771:   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));
2772:   PetscOptionsEnd();

2774:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2775:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2776:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2777:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2778:   if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2779:   if (!complete_print && !silent && !directionsprinted) {
2780:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2781:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2782:   }
2783:   if (!directionsprinted && !silent) {
2784:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2785:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2786:     directionsprinted = PETSC_TRUE;
2787:   }
2788:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2790:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2791:   if (!flg) jacobian = snes->jacobian;
2792:   else jacobian = snes->jacobian_pre;

2794:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2795:   else PetscCall(PetscObjectReference((PetscObject)x));
2796:   PetscCall(VecDuplicate(x, &f));

2798:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2799:   PetscCall(SNESComputeFunction(snes, x, f));
2800:   PetscCall(VecDestroy(&f));
2801:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2802:   while (jacobian) {
2803:     Mat JT = NULL, Jsave = NULL;

2805:     if (istranspose) {
2806:       PetscCall(MatCreateTranspose(jacobian, &JT));
2807:       Jsave    = jacobian;
2808:       jacobian = JT;
2809:     }
2810:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2811:     if (flg) {
2812:       A = jacobian;
2813:       PetscCall(PetscObjectReference((PetscObject)A));
2814:     } else {
2815:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2816:     }

2818:     PetscCall(MatGetType(A, &mattype));
2819:     PetscCall(MatGetSize(A, &M, &N));
2820:     PetscCall(MatGetLocalSize(A, &m, &n));
2821:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2822:     PetscCall(MatSetType(B, mattype));
2823:     PetscCall(MatSetSizes(B, m, n, M, N));
2824:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2825:     PetscCall(MatSetUp(B));
2826:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2828:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2829:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2831:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2832:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2833:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2834:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2835:     PetscCall(MatDestroy(&D));
2836:     if (!gnorm) gnorm = 1; /* just in case */
2837:     if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));
2838:     if (complete_print) {
2839:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2840:       PetscCall(MatView(A, mviewer));
2841:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2842:       PetscCall(MatView(B, mviewer));
2843:     }

2845:     if (threshold_print || complete_print) {
2846:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2847:       PetscScalar       *cvals;
2848:       const PetscInt    *bcols;
2849:       const PetscScalar *bvals;

2851:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2852:       PetscCall(MatSetType(C, mattype));
2853:       PetscCall(MatSetSizes(C, m, n, M, N));
2854:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2855:       PetscCall(MatSetUp(C));
2856:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2858:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2859:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2861:       for (row = Istart; row < Iend; row++) {
2862:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2863:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2864:         for (j = 0, cncols = 0; j < bncols; j++) {
2865:           if (PetscAbsScalar(bvals[j]) > threshold) {
2866:             ccols[cncols] = bcols[j];
2867:             cvals[cncols] = bvals[j];
2868:             cncols += 1;
2869:           }
2870:         }
2871:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2872:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2873:         PetscCall(PetscFree2(ccols, cvals));
2874:       }
2875:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2876:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2877:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2878:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2879:       PetscCall(MatDestroy(&C));
2880:     }
2881:     PetscCall(MatDestroy(&A));
2882:     PetscCall(MatDestroy(&B));
2883:     PetscCall(MatDestroy(&JT));
2884:     if (Jsave) jacobian = Jsave;
2885:     if (jacobian != snes->jacobian_pre) {
2886:       jacobian = snes->jacobian_pre;
2887:       if (!silent) PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2888:     } else jacobian = NULL;
2889:   }
2890:   PetscCall(VecDestroy(&x));
2891:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2892:   if (mviewer) PetscCall(PetscViewerDestroy(&mviewer));
2893:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));

2895:   if (Jnorm) *Jnorm = gnorm;
2896:   if (diffNorm) *diffNorm = nrm;
2897:   PetscFunctionReturn(PETSC_SUCCESS);
2898: }

2900: /*@
2901:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2903:   Collective

2905:   Input Parameters:
2906: + snes - the `SNES` context
2907: - X    - input vector

2909:   Output Parameters:
2910: + A - Jacobian matrix
2911: - B - optional matrix for building the preconditioner, usually the same as `A`

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

2930:   Level: developer

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

2936:   Developer Note:
2937:   This has duplicative ways of checking the accuracy of the user provided Jacobian (see the options above). This is for historical reasons, the routine `SNESTestJacobian()` use to used
2938:   with the `SNESType` of test that has been removed.

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

2949:   PetscFunctionBegin;
2952:   PetscCheckSameComm(snes, 1, X, 2);
2953:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2954:   PetscCall(SNESGetDM(snes, &dm));
2955:   PetscCall(DMGetDMSNES(dm, &sdm));

2957:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2958:   if (snes->lagjacobian == -2) {
2959:     snes->lagjacobian = -1;

2961:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2962:   } else if (snes->lagjacobian == -1) {
2963:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2964:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2965:     if (flag) {
2966:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2967:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2968:     }
2969:     PetscFunctionReturn(PETSC_SUCCESS);
2970:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2971:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2972:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2973:     if (flag) {
2974:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2975:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2976:     }
2977:     PetscFunctionReturn(PETSC_SUCCESS);
2978:   }
2979:   if (snes->npc && snes->npcside == PC_LEFT) {
2980:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2981:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2982:     PetscFunctionReturn(PETSC_SUCCESS);
2983:   }

2985:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2986:   PetscCall(VecLockReadPush(X));
2987:   {
2988:     void           *ctx;
2989:     SNESJacobianFn *J;
2990:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
2991:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
2992:   }
2993:   PetscCall(VecLockReadPop(X));
2994:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

2996:   /* attach latest linearization point to the matrix used to construct the preconditioner */
2997:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

2999:   /* the next line ensures that snes->ksp exists */
3000:   PetscCall(SNESGetKSP(snes, &ksp));
3001:   if (snes->lagpreconditioner == -2) {
3002:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
3003:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3004:     snes->lagpreconditioner = -1;
3005:   } else if (snes->lagpreconditioner == -1) {
3006:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
3007:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3008:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
3009:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
3010:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
3011:   } else {
3012:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
3013:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
3014:   }

3016:   /* monkey business to allow testing Jacobians in multilevel solvers.
3017:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
3018:   {
3019:     Vec xsave            = snes->vec_sol;
3020:     Mat jacobiansave     = snes->jacobian;
3021:     Mat jacobian_presave = snes->jacobian_pre;

3023:     snes->vec_sol      = X;
3024:     snes->jacobian     = A;
3025:     snes->jacobian_pre = B;
3026:     if (snes->testFunc) PetscCall(SNESTestFunction(snes));
3027:     if (snes->testJac) PetscCall(SNESTestJacobian(snes, NULL, NULL));

3029:     snes->vec_sol      = xsave;
3030:     snes->jacobian     = jacobiansave;
3031:     snes->jacobian_pre = jacobian_presave;
3032:   }

3034:   {
3035:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
3036:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
3037:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
3038:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
3039:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
3040:     if (flag || flag_draw || flag_contour) {
3041:       Mat         Bexp_mine = NULL, Bexp, FDexp;
3042:       PetscViewer vdraw, vstdout;
3043:       PetscBool   flg;
3044:       if (flag_operator) {
3045:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
3046:         Bexp = Bexp_mine;
3047:       } else {
3048:         /* See if the matrix used to construct the preconditioner can be viewed and added directly */
3049:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPIBAIJ, ""));
3050:         if (flg) Bexp = B;
3051:         else {
3052:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
3053:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
3054:           Bexp = Bexp_mine;
3055:         }
3056:       }
3057:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
3058:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
3059:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3060:       if (flag_draw || flag_contour) {
3061:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3062:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3063:       } else vdraw = NULL;
3064:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
3065:       if (flag) PetscCall(MatView(Bexp, vstdout));
3066:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
3067:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
3068:       if (flag) PetscCall(MatView(FDexp, vstdout));
3069:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
3070:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
3071:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
3072:       if (flag) PetscCall(MatView(FDexp, vstdout));
3073:       if (vdraw) { /* Always use contour for the difference */
3074:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3075:         PetscCall(MatView(FDexp, vdraw));
3076:         PetscCall(PetscViewerPopFormat(vdraw));
3077:       }
3078:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
3079:       PetscCall(PetscViewerDestroy(&vdraw));
3080:       PetscCall(MatDestroy(&Bexp_mine));
3081:       PetscCall(MatDestroy(&FDexp));
3082:     }
3083:   }
3084:   {
3085:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
3086:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
3087:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
3088:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
3089:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
3090:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
3091:     PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
3092:     if (flag_threshold) {
3093:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
3094:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
3095:     }
3096:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
3097:       Mat             Bfd;
3098:       PetscViewer     vdraw, vstdout;
3099:       MatColoring     coloring;
3100:       ISColoring      iscoloring;
3101:       MatFDColoring   matfdcoloring;
3102:       SNESFunctionFn *func;
3103:       void           *funcctx;
3104:       PetscReal       norm1, norm2, normmax;

3106:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3107:       PetscCall(MatColoringCreate(Bfd, &coloring));
3108:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3109:       PetscCall(MatColoringSetFromOptions(coloring));
3110:       PetscCall(MatColoringApply(coloring, &iscoloring));
3111:       PetscCall(MatColoringDestroy(&coloring));
3112:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3113:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3114:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3115:       PetscCall(ISColoringDestroy(&iscoloring));

3117:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3118:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3119:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (MatFDColoringFn *)func, funcctx));
3120:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3121:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3122:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3123:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3124:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3126:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3127:       if (flag_draw || flag_contour) {
3128:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3129:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3130:       } else vdraw = NULL;
3131:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3132:       if (flag_display) PetscCall(MatView(B, vstdout));
3133:       if (vdraw) PetscCall(MatView(B, vdraw));
3134:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3135:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3136:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3137:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3138:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3139:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3140:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3141:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3142:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3143:       if (vdraw) { /* Always use contour for the difference */
3144:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3145:         PetscCall(MatView(Bfd, vdraw));
3146:         PetscCall(PetscViewerPopFormat(vdraw));
3147:       }
3148:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3150:       if (flag_threshold) {
3151:         PetscInt bs, rstart, rend, i;
3152:         PetscCall(MatGetBlockSize(B, &bs));
3153:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3154:         for (i = rstart; i < rend; i++) {
3155:           const PetscScalar *ba, *ca;
3156:           const PetscInt    *bj, *cj;
3157:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3158:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3159:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3160:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3161:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3162:           for (j = 0; j < bn; j++) {
3163:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3164:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3165:               maxentrycol = bj[j];
3166:               maxentry    = PetscRealPart(ba[j]);
3167:             }
3168:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3169:               maxdiffcol = bj[j];
3170:               maxdiff    = PetscRealPart(ca[j]);
3171:             }
3172:             if (rdiff > maxrdiff) {
3173:               maxrdiffcol = bj[j];
3174:               maxrdiff    = rdiff;
3175:             }
3176:           }
3177:           if (maxrdiff > 1) {
3178:             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));
3179:             for (j = 0; j < bn; j++) {
3180:               PetscReal rdiff;
3181:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3182:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3183:             }
3184:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3185:           }
3186:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3187:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3188:         }
3189:       }
3190:       PetscCall(PetscViewerDestroy(&vdraw));
3191:       PetscCall(MatDestroy(&Bfd));
3192:     }
3193:   }
3194:   PetscFunctionReturn(PETSC_SUCCESS);
3195: }

3197: /*@C
3198:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3199:   location to store the matrix.

3201:   Logically Collective

3203:   Input Parameters:
3204: + snes - the `SNES` context
3205: . Amat - the matrix that defines the (approximate) Jacobian
3206: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3207: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3208: - ctx  - [optional] user-defined context for private data for the
3209:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3211:   Level: beginner

3213:   Notes:
3214:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3215:   each matrix.

3217:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3218:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3220:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3221:   must be a `MatFDColoring`.

3223:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3224:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3226: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3227:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3228: @*/
3229: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
3230: {
3231:   DM dm;

3233:   PetscFunctionBegin;
3237:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3238:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3239:   PetscCall(SNESGetDM(snes, &dm));
3240:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3241:   if (Amat) {
3242:     PetscCall(PetscObjectReference((PetscObject)Amat));
3243:     PetscCall(MatDestroy(&snes->jacobian));

3245:     snes->jacobian = Amat;
3246:   }
3247:   if (Pmat) {
3248:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3249:     PetscCall(MatDestroy(&snes->jacobian_pre));

3251:     snes->jacobian_pre = Pmat;
3252:   }
3253:   PetscFunctionReturn(PETSC_SUCCESS);
3254: }

3256: /*@C
3257:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3258:   provided context for evaluating the Jacobian.

3260:   Not Collective, but `Mat` object will be parallel if `SNES` is

3262:   Input Parameter:
3263: . snes - the nonlinear solver context

3265:   Output Parameters:
3266: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3267: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3268: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3269: - ctx  - location to stash Jacobian ctx (or `NULL`)

3271:   Level: advanced

3273: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3274: @*/
3275: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
3276: {
3277:   DM dm;

3279:   PetscFunctionBegin;
3281:   if (Amat) *Amat = snes->jacobian;
3282:   if (Pmat) *Pmat = snes->jacobian_pre;
3283:   PetscCall(SNESGetDM(snes, &dm));
3284:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3285:   PetscFunctionReturn(PETSC_SUCCESS);
3286: }

3288: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3289: {
3290:   DM     dm;
3291:   DMSNES sdm;

3293:   PetscFunctionBegin;
3294:   PetscCall(SNESGetDM(snes, &dm));
3295:   PetscCall(DMGetDMSNES(dm, &sdm));
3296:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3297:     DM        dm;
3298:     PetscBool isdense, ismf;

3300:     PetscCall(SNESGetDM(snes, &dm));
3301:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3302:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3303:     if (isdense) {
3304:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3305:     } else if (!ismf) {
3306:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3307:     }
3308:   }
3309:   PetscFunctionReturn(PETSC_SUCCESS);
3310: }

3312: /*@
3313:   SNESSetUp - Sets up the internal data structures for the later use
3314:   of a nonlinear solver `SNESSolve()`.

3316:   Collective

3318:   Input Parameter:
3319: . snes - the `SNES` context

3321:   Level: advanced

3323:   Note:
3324:   For basic use of the `SNES` solvers the user does not need to explicitly call
3325:   `SNESSetUp()`, since these actions will automatically occur during
3326:   the call to `SNESSolve()`.  However, if one wishes to control this
3327:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3328:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3330: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`, `SNESSetFromOptions()`
3331: @*/
3332: PetscErrorCode SNESSetUp(SNES snes)
3333: {
3334:   DM             dm;
3335:   DMSNES         sdm;
3336:   SNESLineSearch linesearch, pclinesearch;
3337:   void          *lsprectx, *lspostctx;
3338:   PetscBool      mf_operator, mf;
3339:   Vec            f, fpc;
3340:   void          *funcctx;
3341:   void          *jacctx, *appctx;
3342:   Mat            j, jpre;
3343:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3344:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3345:   SNESFunctionFn *func;
3346:   SNESJacobianFn *jac;

3348:   PetscFunctionBegin;
3350:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3351:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3353:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3355:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3357:   PetscCall(SNESGetDM(snes, &dm));
3358:   PetscCall(DMGetDMSNES(dm, &sdm));
3359:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3361:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3363:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3365:   if (snes->linesearch) {
3366:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3367:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3368:   }

3370:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3371:   if (snes->npc && snes->npcside == PC_LEFT) {
3372:     snes->mf          = PETSC_TRUE;
3373:     snes->mf_operator = PETSC_FALSE;
3374:   }

3376:   if (snes->npc) {
3377:     /* copy the DM over */
3378:     PetscCall(SNESGetDM(snes, &dm));
3379:     PetscCall(SNESSetDM(snes->npc, dm));

3381:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3382:     PetscCall(VecDuplicate(f, &fpc));
3383:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3384:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3385:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3386:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3387:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3388:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3389:     PetscCall(VecDestroy(&fpc));

3391:     /* copy the function pointers over */
3392:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3394:     /* default to 1 iteration */
3395:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3396:     if (snes->npcside == PC_RIGHT) {
3397:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3398:     } else {
3399:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3400:     }
3401:     PetscCall(SNESSetFromOptions(snes->npc));

3403:     /* copy the line search context over */
3404:     if (snes->linesearch && snes->npc->linesearch) {
3405:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3406:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3407:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3408:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3409:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3410:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3411:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3412:     }
3413:   }
3414:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3415:   if (snes->ops->usercompute && !snes->ctx) PetscCallBack("SNES callback compute application context", (*snes->ops->usercompute)(snes, &snes->ctx));

3417:   snes->jac_iter = 0;
3418:   snes->pre_iter = 0;

3420:   PetscTryTypeMethod(snes, setup);

3422:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3424:   if (snes->npc && snes->npcside == PC_LEFT) {
3425:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3426:       if (snes->linesearch) {
3427:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3428:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3429:       }
3430:     }
3431:   }
3432:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3433:   snes->setupcalled = PETSC_TRUE;
3434:   PetscFunctionReturn(PETSC_SUCCESS);
3435: }

3437: /*@
3438:   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

3440:   Collective

3442:   Input Parameter:
3443: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3445:   Level: intermediate

3447:   Notes:
3448:   Any options set on the `SNES` object, including those set with `SNESSetFromOptions()` remain.

3450:   Call this if you wish to reuse a `SNES` but with different size vectors

3452:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3454: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3455: @*/
3456: PetscErrorCode SNESReset(SNES snes)
3457: {
3458:   PetscFunctionBegin;
3460:   if (snes->ops->ctxdestroy && snes->ctx) {
3461:     PetscCallBack("SNES callback destroy application context", (*snes->ops->ctxdestroy)(&snes->ctx));
3462:     snes->ctx = NULL;
3463:   }
3464:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3466:   PetscTryTypeMethod(snes, reset);
3467:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3469:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3471:   PetscCall(VecDestroy(&snes->vec_rhs));
3472:   PetscCall(VecDestroy(&snes->vec_sol));
3473:   PetscCall(VecDestroy(&snes->vec_sol_update));
3474:   PetscCall(VecDestroy(&snes->vec_func));
3475:   PetscCall(MatDestroy(&snes->jacobian));
3476:   PetscCall(MatDestroy(&snes->jacobian_pre));
3477:   PetscCall(MatDestroy(&snes->picard));
3478:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3479:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3481:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3483:   snes->nwork = snes->nvwork = 0;
3484:   snes->setupcalled          = PETSC_FALSE;
3485:   PetscFunctionReturn(PETSC_SUCCESS);
3486: }

3488: /*@
3489:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()` also
3490:   removes the default viewer.

3492:   Collective

3494:   Input Parameter:
3495: . snes - the nonlinear iterative solver context obtained from `SNESCreate()`

3497:   Level: intermediate

3499: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3500: @*/
3501: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3502: {
3503:   PetscInt i;

3505:   PetscFunctionBegin;
3507:   for (i = 0; i < snes->numberreasonviews; i++) {
3508:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3509:   }
3510:   snes->numberreasonviews = 0;
3511:   PetscCall(PetscViewerDestroy(&snes->convergedreasonviewer));
3512:   PetscFunctionReturn(PETSC_SUCCESS);
3513: }

3515: /*@
3516:   SNESDestroy - Destroys the nonlinear solver context that was created
3517:   with `SNESCreate()`.

3519:   Collective

3521:   Input Parameter:
3522: . snes - the `SNES` context

3524:   Level: beginner

3526: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3527: @*/
3528: PetscErrorCode SNESDestroy(SNES *snes)
3529: {
3530:   DM dm;

3532:   PetscFunctionBegin;
3533:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3535:   if (--((PetscObject)*snes)->refct > 0) {
3536:     *snes = NULL;
3537:     PetscFunctionReturn(PETSC_SUCCESS);
3538:   }

3540:   PetscCall(SNESReset(*snes));
3541:   PetscCall(SNESDestroy(&(*snes)->npc));

3543:   /* if memory was published with SAWs then destroy it */
3544:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3545:   PetscTryTypeMethod(*snes, destroy);

3547:   dm = (*snes)->dm;
3548:   while (dm) {
3549:     PetscCall(DMCoarsenHookRemove(dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3550:     PetscCall(DMGetCoarseDM(dm, &dm));
3551:   }

3553:   PetscCall(DMDestroy(&(*snes)->dm));
3554:   PetscCall(KSPDestroy(&(*snes)->ksp));
3555:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3557:   PetscCall(PetscFree((*snes)->kspconvctx));
3558:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)((*snes)->cnvP));
3559:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3560:   PetscCall(SNESMonitorCancel(*snes));
3561:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3562:   PetscCall(PetscHeaderDestroy(snes));
3563:   PetscFunctionReturn(PETSC_SUCCESS);
3564: }

3566: /* ----------- Routines to set solver parameters ---------- */

3568: /*@
3569:   SNESSetLagPreconditioner - Sets when the preconditioner is rebuilt in the nonlinear solve `SNESSolve()`.

3571:   Logically Collective

3573:   Input Parameters:
3574: + snes - the `SNES` context
3575: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3576:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3578:   Options Database Keys:
3579: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3580: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3581: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3582: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3584:   Level: intermediate

3586:   Notes:
3587:   The default is 1

3589:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3591:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3593: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3594:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3595: @*/
3596: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3597: {
3598:   PetscFunctionBegin;
3600:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3601:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3603:   snes->lagpreconditioner = lag;
3604:   PetscFunctionReturn(PETSC_SUCCESS);
3605: }

3607: /*@
3608:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3610:   Logically Collective

3612:   Input Parameters:
3613: + snes  - the `SNES` context
3614: - steps - the number of refinements to do, defaults to 0

3616:   Options Database Key:
3617: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3619:   Level: intermediate

3621:   Notes:
3622:   Once grid sequencing is turned on `SNESSolve()` will automatically perform the solve on each grid refinement.

3624:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3626: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3627:           `SNESSetDM()`, `SNESSolve()`
3628: @*/
3629: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3630: {
3631:   PetscFunctionBegin;
3634:   snes->gridsequence = steps;
3635:   PetscFunctionReturn(PETSC_SUCCESS);
3636: }

3638: /*@
3639:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3641:   Logically Collective

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

3646:   Output Parameter:
3647: . steps - the number of refinements to do, defaults to 0

3649:   Level: intermediate

3651: .seealso: [](ch_snes), `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3652: @*/
3653: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3654: {
3655:   PetscFunctionBegin;
3657:   *steps = snes->gridsequence;
3658:   PetscFunctionReturn(PETSC_SUCCESS);
3659: }

3661: /*@
3662:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3664:   Not Collective

3666:   Input Parameter:
3667: . snes - the `SNES` context

3669:   Output Parameter:
3670: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3671:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3673:   Level: intermediate

3675:   Notes:
3676:   The default is 1

3678:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3680: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3681: @*/
3682: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3683: {
3684:   PetscFunctionBegin;
3686:   *lag = snes->lagpreconditioner;
3687:   PetscFunctionReturn(PETSC_SUCCESS);
3688: }

3690: /*@
3691:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3692:   often the preconditioner is rebuilt.

3694:   Logically Collective

3696:   Input Parameters:
3697: + snes - the `SNES` context
3698: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3699:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3701:   Options Database Keys:
3702: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3703: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3704: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3705: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3707:   Level: intermediate

3709:   Notes:
3710:   The default is 1

3712:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3714:   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
3715:   at the next Newton step but never again (unless it is reset to another value)

3717: .seealso: [](ch_snes), `SNES`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3718: @*/
3719: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3720: {
3721:   PetscFunctionBegin;
3723:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3724:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3726:   snes->lagjacobian = lag;
3727:   PetscFunctionReturn(PETSC_SUCCESS);
3728: }

3730: /*@
3731:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3733:   Not Collective

3735:   Input Parameter:
3736: . snes - the `SNES` context

3738:   Output Parameter:
3739: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3740:          the Jacobian is built etc.

3742:   Level: intermediate

3744:   Notes:
3745:   The default is 1

3747:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3749: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3751: @*/
3752: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3753: {
3754:   PetscFunctionBegin;
3756:   *lag = snes->lagjacobian;
3757:   PetscFunctionReturn(PETSC_SUCCESS);
3758: }

3760: /*@
3761:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3763:   Logically collective

3765:   Input Parameters:
3766: + snes - the `SNES` context
3767: - flg  - jacobian lagging persists if true

3769:   Options Database Keys:
3770: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3771: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3772: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3773: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3775:   Level: advanced

3777:   Notes:
3778:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3780:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3781:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3782:   timesteps may present huge efficiency gains.

3784: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3785: @*/
3786: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3787: {
3788:   PetscFunctionBegin;
3791:   snes->lagjac_persist = flg;
3792:   PetscFunctionReturn(PETSC_SUCCESS);
3793: }

3795: /*@
3796:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3798:   Logically Collective

3800:   Input Parameters:
3801: + snes - the `SNES` context
3802: - flg  - preconditioner lagging persists if true

3804:   Options Database Keys:
3805: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3806: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3807: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3808: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3810:   Level: developer

3812:   Notes:
3813:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3815:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3816:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3817:   several timesteps may present huge efficiency gains.

3819: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3820: @*/
3821: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3822: {
3823:   PetscFunctionBegin;
3826:   snes->lagpre_persist = flg;
3827:   PetscFunctionReturn(PETSC_SUCCESS);
3828: }

3830: /*@
3831:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3833:   Logically Collective

3835:   Input Parameters:
3836: + snes  - the `SNES` context
3837: - force - `PETSC_TRUE` require at least one iteration

3839:   Options Database Key:
3840: . -snes_force_iteration <force> - Sets forcing an iteration

3842:   Level: intermediate

3844:   Note:
3845:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3847: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetDivergenceTolerance()`
3848: @*/
3849: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3850: {
3851:   PetscFunctionBegin;
3853:   snes->forceiteration = force;
3854:   PetscFunctionReturn(PETSC_SUCCESS);
3855: }

3857: /*@
3858:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3860:   Logically Collective

3862:   Input Parameter:
3863: . snes - the `SNES` context

3865:   Output Parameter:
3866: . force - `PETSC_TRUE` requires at least one iteration.

3868:   Level: intermediate

3870: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetDivergenceTolerance()`
3871: @*/
3872: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3873: {
3874:   PetscFunctionBegin;
3876:   *force = snes->forceiteration;
3877:   PetscFunctionReturn(PETSC_SUCCESS);
3878: }

3880: /*@
3881:   SNESSetTolerances - Sets various parameters used in `SNES` convergence tests.

3883:   Logically Collective

3885:   Input Parameters:
3886: + snes   - the `SNES` context
3887: . abstol - the absolute convergence tolerance, $ F(x^n) \le abstol $
3888: . rtol   - the relative convergence tolerance, $ F(x^n) \le reltol * F(x^0) $
3889: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3890: . maxit  - the maximum number of iterations allowed in the solver, default 50.
3891: - maxf   - the maximum number of function evaluations allowed in the solver (use `PETSC_UNLIMITED` indicates no limit), default 10,000

3893:   Options Database Keys:
3894: + -snes_atol <abstol>    - Sets `abstol`
3895: . -snes_rtol <rtol>      - Sets `rtol`
3896: . -snes_stol <stol>      - Sets `stol`
3897: . -snes_max_it <maxit>   - Sets `maxit`
3898: - -snes_max_funcs <maxf> - Sets `maxf` (use `unlimited` to have no maximum)

3900:   Level: intermediate

3902:   Note:
3903:   All parameters must be non-negative

3905:   Use `PETSC_CURRENT` to retain the current value of any parameter and `PETSC_DETERMINE` to use the default value for the given `SNES`.
3906:   The default value is the value in the object when its type is set.

3908:   Use `PETSC_UNLIMITED` on `maxit` or `maxf` to indicate there is no bound on the number of iterations or number of function evaluations.

3910:   Fortran Note:
3911:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_UNLIMITED_INTEGER`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

3913: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3914: @*/
3915: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3916: {
3917:   PetscFunctionBegin;

3925:   if (abstol == (PetscReal)PETSC_DETERMINE) {
3926:     snes->abstol = snes->default_abstol;
3927:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
3928:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3929:     snes->abstol = abstol;
3930:   }

3932:   if (rtol == (PetscReal)PETSC_DETERMINE) {
3933:     snes->rtol = snes->default_rtol;
3934:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
3935:     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);
3936:     snes->rtol = rtol;
3937:   }

3939:   if (stol == (PetscReal)PETSC_DETERMINE) {
3940:     snes->stol = snes->default_stol;
3941:   } else if (stol != (PetscReal)PETSC_CURRENT) {
3942:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3943:     snes->stol = stol;
3944:   }

3946:   if (maxit == PETSC_DETERMINE) {
3947:     snes->max_its = snes->default_max_its;
3948:   } else if (maxit == PETSC_UNLIMITED) {
3949:     snes->max_its = PETSC_INT_MAX;
3950:   } else if (maxit != PETSC_CURRENT) {
3951:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3952:     snes->max_its = maxit;
3953:   }

3955:   if (maxf == PETSC_DETERMINE) {
3956:     snes->max_funcs = snes->default_max_funcs;
3957:   } else if (maxf == PETSC_UNLIMITED || maxf == -1) {
3958:     snes->max_funcs = PETSC_UNLIMITED;
3959:   } else if (maxf != PETSC_CURRENT) {
3960:     PetscCheck(maxf >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be nonnegative", maxf);
3961:     snes->max_funcs = maxf;
3962:   }
3963:   PetscFunctionReturn(PETSC_SUCCESS);
3964: }

3966: /*@
3967:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3969:   Logically Collective

3971:   Input Parameters:
3972: + snes   - the `SNES` context
3973: - 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
3974:            is stopped due to divergence.

3976:   Options Database Key:
3977: . -snes_divergence_tolerance <divtol> - Sets `divtol`

3979:   Level: intermediate

3981:   Notes:
3982:   Use `PETSC_DETERMINE` to use the default value from when the object's type was set.

3984:   Fortran Note:
3985:   Use ``PETSC_DETERMINE_REAL` or `PETSC_UNLIMITED_REAL`

3987: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance()`
3988: @*/
3989: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
3990: {
3991:   PetscFunctionBegin;

3995:   if (divtol == (PetscReal)PETSC_DETERMINE) {
3996:     snes->divtol = snes->default_divtol;
3997:   } else if (divtol == (PetscReal)PETSC_UNLIMITED || divtol == -1) {
3998:     snes->divtol = PETSC_UNLIMITED;
3999:   } else if (divtol != (PetscReal)PETSC_CURRENT) {
4000:     PetscCheck(divtol >= 1.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be greater than 1.0", (double)divtol);
4001:     snes->divtol = divtol;
4002:   }
4003:   PetscFunctionReturn(PETSC_SUCCESS);
4004: }

4006: /*@
4007:   SNESGetTolerances - Gets various parameters used in `SNES` convergence tests.

4009:   Not Collective

4011:   Input Parameter:
4012: . snes - the `SNES` context

4014:   Output Parameters:
4015: + atol  - the absolute convergence tolerance
4016: . rtol  - the relative convergence tolerance
4017: . stol  - convergence tolerance in terms of the norm of the change in the solution between steps
4018: . maxit - the maximum number of iterations allowed
4019: - maxf  - the maximum number of function evaluations allowed, `PETSC_UNLIMITED` indicates no bound

4021:   Level: intermediate

4023:   Notes:
4024:   See `SNESSetTolerances()` for details on the parameters.

4026:   The user can specify `NULL` for any parameter that is not needed.

4028: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
4029: @*/
4030: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
4031: {
4032:   PetscFunctionBegin;
4034:   if (atol) *atol = snes->abstol;
4035:   if (rtol) *rtol = snes->rtol;
4036:   if (stol) *stol = snes->stol;
4037:   if (maxit) *maxit = snes->max_its;
4038:   if (maxf) *maxf = snes->max_funcs;
4039:   PetscFunctionReturn(PETSC_SUCCESS);
4040: }

4042: /*@
4043:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

4045:   Not Collective

4047:   Input Parameters:
4048: + snes   - the `SNES` context
4049: - divtol - divergence tolerance

4051:   Level: intermediate

4053: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
4054: @*/
4055: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
4056: {
4057:   PetscFunctionBegin;
4059:   if (divtol) *divtol = snes->divtol;
4060:   PetscFunctionReturn(PETSC_SUCCESS);
4061: }

4063: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

4065: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, void *monctx)
4066: {
4067:   PetscDrawLG      lg;
4068:   PetscReal        x, y, per;
4069:   PetscViewer      v = (PetscViewer)monctx;
4070:   static PetscReal prev; /* should be in the context */
4071:   PetscDraw        draw;

4073:   PetscFunctionBegin;
4075:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
4076:   if (!n) PetscCall(PetscDrawLGReset(lg));
4077:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4078:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
4079:   x = (PetscReal)n;
4080:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
4081:   else y = -15.0;
4082:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4083:   if (n < 20 || !(n % 5) || snes->reason) {
4084:     PetscCall(PetscDrawLGDraw(lg));
4085:     PetscCall(PetscDrawLGSave(lg));
4086:   }

4088:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
4089:   if (!n) PetscCall(PetscDrawLGReset(lg));
4090:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4091:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
4092:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
4093:   x = (PetscReal)n;
4094:   y = 100.0 * per;
4095:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4096:   if (n < 20 || !(n % 5) || snes->reason) {
4097:     PetscCall(PetscDrawLGDraw(lg));
4098:     PetscCall(PetscDrawLGSave(lg));
4099:   }

4101:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
4102:   if (!n) {
4103:     prev = rnorm;
4104:     PetscCall(PetscDrawLGReset(lg));
4105:   }
4106:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4107:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
4108:   x = (PetscReal)n;
4109:   y = (prev - rnorm) / prev;
4110:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4111:   if (n < 20 || !(n % 5) || snes->reason) {
4112:     PetscCall(PetscDrawLGDraw(lg));
4113:     PetscCall(PetscDrawLGSave(lg));
4114:   }

4116:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
4117:   if (!n) PetscCall(PetscDrawLGReset(lg));
4118:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
4119:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
4120:   x = (PetscReal)n;
4121:   y = (prev - rnorm) / (prev * per);
4122:   if (n > 2) { /*skip initial crazy value */
4123:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
4124:   }
4125:   if (n < 20 || !(n % 5) || snes->reason) {
4126:     PetscCall(PetscDrawLGDraw(lg));
4127:     PetscCall(PetscDrawLGSave(lg));
4128:   }
4129:   prev = rnorm;
4130:   PetscFunctionReturn(PETSC_SUCCESS);
4131: }

4133: /*@
4134:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4136:   Collective

4138:   Input Parameters:
4139: + snes  - the `SNES` context
4140: . it    - current iteration
4141: . xnorm - 2-norm of current iterate
4142: . snorm - 2-norm of current step
4143: - fnorm - 2-norm of function

4145:   Level: developer

4147:   Note:
4148:   This routine is called by the `SNESSolve()` implementations.
4149:   It does not typically need to be called by the user.

4151: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4152: @*/
4153: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4154: {
4155:   PetscFunctionBegin;
4156:   if (!snes->reason) {
4157:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4158:     if (it == snes->max_its && !snes->reason) {
4159:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4160:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4161:         snes->reason = SNES_DIVERGED_MAX_IT;
4162:       } else snes->reason = SNES_CONVERGED_ITS;
4163:     }
4164:   }
4165:   PetscFunctionReturn(PETSC_SUCCESS);
4166: }

4168: /*@
4169:   SNESMonitor - runs any `SNES` monitor routines provided with `SNESMonitor()` or the options database

4171:   Collective

4173:   Input Parameters:
4174: + snes  - nonlinear solver context obtained from `SNESCreate()`
4175: . iter  - current iteration number
4176: - rnorm - current relative norm of the residual

4178:   Level: developer

4180:   Note:
4181:   This routine is called by the `SNESSolve()` implementations.
4182:   It does not typically need to be called by the user.

4184: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4185: @*/
4186: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4187: {
4188:   PetscInt i, n = snes->numbermonitors;

4190:   PetscFunctionBegin;
4191:   if (n > 0) SNESCheckFunctionNorm(snes, rnorm);
4192:   PetscCall(VecLockReadPush(snes->vec_sol));
4193:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4194:   PetscCall(VecLockReadPop(snes->vec_sol));
4195:   PetscFunctionReturn(PETSC_SUCCESS);
4196: }

4198: /* ------------ Routines to set performance monitoring options ----------- */

4200: /*MC
4201:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4203:      Synopsis:
4204: #include <petscsnes.h>
4205:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, void *mctx)

4207:      Collective

4209:     Input Parameters:
4210: +    snes - the `SNES` context
4211: .    its - iteration number
4212: .    norm - 2-norm function value (may be estimated)
4213: -    mctx - [optional] monitoring context

4215:    Level: advanced

4217: .seealso: [](ch_snes), `SNESMonitorSet()`, `SNESMonitorSet()`, `SNESMonitorGet()`
4218: M*/

4220: /*@C
4221:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4222:   iteration of the `SNES` nonlinear solver to display the iteration's
4223:   progress.

4225:   Logically Collective

4227:   Input Parameters:
4228: + snes           - the `SNES` context
4229: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4230: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4231: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4233:   Options Database Keys:
4234: + -snes_monitor               - sets `SNESMonitorDefault()`
4235: . -snes_monitor draw::draw_lg - sets line graph monitor,
4236: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4237:                                 the options database.

4239:   Level: intermediate

4241:   Note:
4242:   Several different monitoring routines may be set by calling
4243:   `SNESMonitorSet()` multiple times; all will be called in the
4244:   order in which they were set.

4246:   Fortran Note:
4247:   Only a single monitor function can be set for each `SNES` object

4249: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`, `PetscCtxDestroyFn`
4250: @*/
4251: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, void *), void *mctx, PetscCtxDestroyFn *monitordestroy)
4252: {
4253:   PetscInt  i;
4254:   PetscBool identical;

4256:   PetscFunctionBegin;
4258:   for (i = 0; i < snes->numbermonitors; i++) {
4259:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))f, mctx, monitordestroy, (PetscErrorCode (*)(void))snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4260:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4261:   }
4262:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4263:   snes->monitor[snes->numbermonitors]          = f;
4264:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4265:   snes->monitorcontext[snes->numbermonitors++] = mctx;
4266:   PetscFunctionReturn(PETSC_SUCCESS);
4267: }

4269: /*@
4270:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4272:   Logically Collective

4274:   Input Parameter:
4275: . snes - the `SNES` context

4277:   Options Database Key:
4278: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4279:                          into a code by calls to `SNESMonitorSet()`, but does not cancel those
4280:                          set via the options database

4282:   Level: intermediate

4284:   Note:
4285:   There is no way to clear one specific monitor from a `SNES` object.

4287: .seealso: [](ch_snes), `SNES`, `SNESMonitorGet()`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4288: @*/
4289: PetscErrorCode SNESMonitorCancel(SNES snes)
4290: {
4291:   PetscInt i;

4293:   PetscFunctionBegin;
4295:   for (i = 0; i < snes->numbermonitors; i++) {
4296:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4297:   }
4298:   snes->numbermonitors = 0;
4299:   PetscFunctionReturn(PETSC_SUCCESS);
4300: }

4302: /*MC
4303:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4305:      Synopsis:
4306: #include <petscsnes.h>
4307:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4309:      Collective

4311:     Input Parameters:
4312: +    snes - the `SNES` context
4313: .    it - current iteration (0 is the first and is before any Newton step)
4314: .    xnorm - 2-norm of current iterate
4315: .    gnorm - 2-norm of current step
4316: .    f - 2-norm of function
4317: -    cctx - [optional] convergence context

4319:     Output Parameter:
4320: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4322:    Level: intermediate

4324: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`
4325: M*/

4327: /*@C
4328:   SNESSetConvergenceTest - Sets the function that is to be used
4329:   to test for convergence of the nonlinear iterative solution.

4331:   Logically Collective

4333:   Input Parameters:
4334: + snes                        - the `SNES` context
4335: . SNESConvergenceTestFunction - routine to test for convergence
4336: . cctx                        - [optional] context for private data for the convergence routine  (may be `NULL`)
4337: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4339:   Level: advanced

4341: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4342: @*/
4343: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *cctx, PetscErrorCode (*destroy)(void *))
4344: {
4345:   PetscFunctionBegin;
4347:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4348:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(snes->cnvP));
4349:   snes->ops->converged        = SNESConvergenceTestFunction;
4350:   snes->ops->convergeddestroy = destroy;
4351:   snes->cnvP                  = cctx;
4352:   PetscFunctionReturn(PETSC_SUCCESS);
4353: }

4355: /*@
4356:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped, which may be due to convergence, divergence, or stagnation

4358:   Not Collective

4360:   Input Parameter:
4361: . snes - the `SNES` context

4363:   Output Parameter:
4364: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4366:   Options Database Key:
4367: . -snes_converged_reason - prints the reason to standard out

4369:   Level: intermediate

4371:   Note:
4372:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4374: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4375: @*/
4376: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4377: {
4378:   PetscFunctionBegin;
4380:   PetscAssertPointer(reason, 2);
4381:   *reason = snes->reason;
4382:   PetscFunctionReturn(PETSC_SUCCESS);
4383: }

4385: /*@C
4386:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4388:   Not Collective

4390:   Input Parameter:
4391: . snes - the `SNES` context

4393:   Output Parameter:
4394: . strreason - a human readable string that describes `SNES` converged reason

4396:   Level: beginner

4398: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4399: @*/
4400: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4401: {
4402:   PetscFunctionBegin;
4404:   PetscAssertPointer(strreason, 2);
4405:   *strreason = SNESConvergedReasons[snes->reason];
4406:   PetscFunctionReturn(PETSC_SUCCESS);
4407: }

4409: /*@
4410:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4412:   Not Collective

4414:   Input Parameters:
4415: + snes   - the `SNES` context
4416: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4417:             manual pages for the individual convergence tests for complete lists

4419:   Level: developer

4421:   Developer Note:
4422:   Called inside the various `SNESSolve()` implementations

4424: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4425: @*/
4426: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4427: {
4428:   PetscFunctionBegin;
4430:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4431:   snes->reason = reason;
4432:   PetscFunctionReturn(PETSC_SUCCESS);
4433: }

4435: /*@
4436:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4438:   Logically Collective

4440:   Input Parameters:
4441: + snes  - iterative context obtained from `SNESCreate()`
4442: . a     - array to hold history, this array will contain the function norms computed at each step
4443: . its   - integer array holds the number of linear iterations for each solve.
4444: . na    - size of `a` and `its`
4445: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4446:           else it continues storing new values for new nonlinear solves after the old ones

4448:   Level: intermediate

4450:   Notes:
4451:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' is `PETSC_DECIDE` (or, deprecated, `PETSC_DEFAULT`) then a
4452:   default array of length 1,000 is allocated.

4454:   This routine is useful, e.g., when running a code for purposes
4455:   of accurate performance monitoring, when no I/O should be done
4456:   during the section of code that is being timed.

4458:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4460: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4461: @*/
4462: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4463: {
4464:   PetscFunctionBegin;
4466:   if (a) PetscAssertPointer(a, 2);
4467:   if (its) PetscAssertPointer(its, 3);
4468:   if (!a) {
4469:     if (na == PETSC_DECIDE) na = 1000;
4470:     PetscCall(PetscCalloc2(na, &a, na, &its));
4471:     snes->conv_hist_alloc = PETSC_TRUE;
4472:   }
4473:   snes->conv_hist       = a;
4474:   snes->conv_hist_its   = its;
4475:   snes->conv_hist_max   = (size_t)na;
4476:   snes->conv_hist_len   = 0;
4477:   snes->conv_hist_reset = reset;
4478:   PetscFunctionReturn(PETSC_SUCCESS);
4479: }

4481: #if defined(PETSC_HAVE_MATLAB)
4482:   #include <engine.h> /* MATLAB include file */
4483:   #include <mex.h>    /* MATLAB include file */

4485: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4486: {
4487:   mxArray   *mat;
4488:   PetscInt   i;
4489:   PetscReal *ar;

4491:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4492:   ar  = (PetscReal *)mxGetData(mat);
4493:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4494:   return mat;
4495: }
4496: #endif

4498: /*@C
4499:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4501:   Not Collective

4503:   Input Parameter:
4504: . snes - iterative context obtained from `SNESCreate()`

4506:   Output Parameters:
4507: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4508: . its - integer array holds the number of linear iterations (or
4509:          negative if not converged) for each solve.
4510: - na  - size of `a` and `its`

4512:   Level: intermediate

4514:   Note:
4515:   This routine is useful, e.g., when running a code for purposes
4516:   of accurate performance monitoring, when no I/O should be done
4517:   during the section of code that is being timed.

4519:   Fortran Notes:
4520:   Return the arrays with ``SNESRestoreConvergenceHistory()`

4522:   Use the arguments
4523: .vb
4524:   PetscReal, pointer :: a(:)
4525:   PetscInt, pointer :: its(:)
4526: .ve

4528: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4529: @*/
4530: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4531: {
4532:   PetscFunctionBegin;
4534:   if (a) *a = snes->conv_hist;
4535:   if (its) *its = snes->conv_hist_its;
4536:   if (na) *na = (PetscInt)snes->conv_hist_len;
4537:   PetscFunctionReturn(PETSC_SUCCESS);
4538: }

4540: /*@C
4541:   SNESSetUpdate - Sets the general-purpose update function called
4542:   at the beginning of every iteration of the nonlinear solve. Specifically
4543:   it is called just before the Jacobian is "evaluated" and after the function
4544:   evaluation.

4546:   Logically Collective

4548:   Input Parameters:
4549: + snes - The nonlinear solver context
4550: - func - The update function; for calling sequence see `SNESUpdateFn`

4552:   Level: advanced

4554:   Notes:
4555:   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
4556:   to `SNESSetFunction()`, or `SNESSetPicard()`
4557:   This is not used by most users, and it is intended to provide a general hook that is run
4558:   right before the direction step is computed.

4560:   Users are free to modify the current residual vector,
4561:   the current linearization point, or any other vector associated to the specific solver used.
4562:   If such modifications take place, it is the user responsibility to update all the relevant
4563:   vectors. For example, if one is adjusting the model parameters at each Newton step their code may look like
4564: .vb
4565:   PetscErrorCode update(SNES snes, PetscInt iteration)
4566:   {
4567:     PetscFunctionBeginUser;
4568:     if (iteration > 0) {
4569:       // update the model parameters here
4570:       Vec x,f;
4571:       PetscCall(SNESGetSolution(snes,&x));
4572:       PetcCall(SNESGetFunction(snes,&f,NULL,NULL));
4573:       PetscCall(SNESComputeFunction(snes,x,f));
4574:     }
4575:     PetscFunctionReturn(PETSC_SUCCESS);
4576:   }
4577: .ve

4579:   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.

4581: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4582:          `SNESMonitorSet()`
4583: @*/
4584: PetscErrorCode SNESSetUpdate(SNES snes, SNESUpdateFn *func)
4585: {
4586:   PetscFunctionBegin;
4588:   snes->ops->update = func;
4589:   PetscFunctionReturn(PETSC_SUCCESS);
4590: }

4592: /*@
4593:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4595:   Collective

4597:   Input Parameters:
4598: + snes   - iterative context obtained from `SNESCreate()`
4599: - viewer - the viewer to display the reason

4601:   Options Database Keys:
4602: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4603: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4605:   Level: beginner

4607:   Note:
4608:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4609:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4611: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4612:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4613:           `SNESConvergedReasonViewFromOptions()`,
4614:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4615: @*/
4616: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4617: {
4618:   PetscViewerFormat format;
4619:   PetscBool         isAscii;

4621:   PetscFunctionBegin;
4622:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4623:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4624:   if (isAscii) {
4625:     PetscCall(PetscViewerGetFormat(viewer, &format));
4626:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4627:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4628:       DM       dm;
4629:       Vec      u;
4630:       PetscDS  prob;
4631:       PetscInt Nf, f;
4632:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4633:       void    **exactCtx;
4634:       PetscReal error;

4636:       PetscCall(SNESGetDM(snes, &dm));
4637:       PetscCall(SNESGetSolution(snes, &u));
4638:       PetscCall(DMGetDS(dm, &prob));
4639:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4640:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4641:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4642:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4643:       PetscCall(PetscFree2(exactSol, exactCtx));
4644:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4645:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4646:     }
4647:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4648:       if (((PetscObject)snes)->prefix) {
4649:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4650:       } else {
4651:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4652:       }
4653:     } else if (snes->reason <= 0) {
4654:       if (((PetscObject)snes)->prefix) {
4655:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4656:       } else {
4657:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4658:       }
4659:     }
4660:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4661:   }
4662:   PetscFunctionReturn(PETSC_SUCCESS);
4663: }

4665: /*@C
4666:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4667:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4669:   Logically Collective

4671:   Input Parameters:
4672: + snes              - the `SNES` context
4673: . f                 - the `SNESConvergedReason` view function
4674: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4675: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

4677:   Calling sequence of `f`:
4678: + snes - the `SNES` context
4679: - vctx - [optional] context for private data for the function

4681:   Options Database Keys:
4682: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4683: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4684:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4686:   Level: intermediate

4688:   Note:
4689:   Several different converged reason view routines may be set by calling
4690:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4691:   order in which they were set.

4693: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`,
4694:           `PetscCtxDestroyFn`
4695: @*/
4696: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscCtxDestroyFn *reasonviewdestroy)
4697: {
4698:   PetscInt  i;
4699:   PetscBool identical;

4701:   PetscFunctionBegin;
4703:   for (i = 0; i < snes->numberreasonviews; i++) {
4704:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))f, vctx, reasonviewdestroy, (PetscErrorCode (*)(void))snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4705:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4706:   }
4707:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4708:   snes->reasonview[snes->numberreasonviews]          = f;
4709:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4710:   snes->reasonviewcontext[snes->numberreasonviews++] = vctx;
4711:   PetscFunctionReturn(PETSC_SUCCESS);
4712: }

4714: /*@
4715:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4716:   All the user-provided viewer routines set with `SNESConvergedReasonViewSet()` will be called, if they exist.

4718:   Collective

4720:   Input Parameter:
4721: . snes - the `SNES` object

4723:   Level: advanced

4725: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4726:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4727: @*/
4728: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4729: {
4730:   static PetscBool incall = PETSC_FALSE;

4732:   PetscFunctionBegin;
4733:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4734:   incall = PETSC_TRUE;

4736:   /* All user-provided viewers are called first, if they exist. */
4737:   for (PetscInt i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4739:   /* Call PETSc default routine if users ask for it */
4740:   if (snes->convergedreasonviewer) {
4741:     PetscCall(PetscViewerPushFormat(snes->convergedreasonviewer, snes->convergedreasonformat));
4742:     PetscCall(SNESConvergedReasonView(snes, snes->convergedreasonviewer));
4743:     PetscCall(PetscViewerPopFormat(snes->convergedreasonviewer));
4744:   }
4745:   incall = PETSC_FALSE;
4746:   PetscFunctionReturn(PETSC_SUCCESS);
4747: }

4749: /*@
4750:   SNESSolve - Solves a nonlinear system $F(x) = b $ associated with a `SNES` object

4752:   Collective

4754:   Input Parameters:
4755: + snes - the `SNES` context
4756: . b    - the constant part of the equation $F(x) = b$, or `NULL` to use zero.
4757: - x    - the solution vector.

4759:   Level: beginner

4761:   Note:
4762:   The user should initialize the vector, `x`, with the initial guess
4763:   for the nonlinear solve prior to calling `SNESSolve()` .

4765: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4766:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4767:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`
4768: @*/
4769: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4770: {
4771:   PetscBool flg;
4772:   PetscInt  grid;
4773:   Vec       xcreated = NULL;
4774:   DM        dm;

4776:   PetscFunctionBegin;
4779:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4781:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4783:   /* High level operations using the nonlinear solver */
4784:   {
4785:     PetscViewer       viewer;
4786:     PetscViewerFormat format;
4787:     PetscInt          num;
4788:     PetscBool         flg;
4789:     static PetscBool  incall = PETSC_FALSE;

4791:     if (!incall) {
4792:       /* Estimate the convergence rate of the discretization */
4793:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4794:       if (flg) {
4795:         PetscConvEst conv;
4796:         DM           dm;
4797:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4798:         PetscInt     Nf;

4800:         incall = PETSC_TRUE;
4801:         PetscCall(SNESGetDM(snes, &dm));
4802:         PetscCall(DMGetNumFields(dm, &Nf));
4803:         PetscCall(PetscCalloc1(Nf, &alpha));
4804:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4805:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4806:         PetscCall(PetscConvEstSetFromOptions(conv));
4807:         PetscCall(PetscConvEstSetUp(conv));
4808:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4809:         PetscCall(PetscViewerPushFormat(viewer, format));
4810:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4811:         PetscCall(PetscViewerPopFormat(viewer));
4812:         PetscCall(PetscViewerDestroy(&viewer));
4813:         PetscCall(PetscConvEstDestroy(&conv));
4814:         PetscCall(PetscFree(alpha));
4815:         incall = PETSC_FALSE;
4816:       }
4817:       /* Adaptively refine the initial grid */
4818:       num = 1;
4819:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4820:       if (flg) {
4821:         DMAdaptor adaptor;

4823:         incall = PETSC_TRUE;
4824:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4825:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4826:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4827:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4828:         PetscCall(DMAdaptorSetUp(adaptor));
4829:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4830:         PetscCall(DMAdaptorDestroy(&adaptor));
4831:         incall = PETSC_FALSE;
4832:       }
4833:       /* Use grid sequencing to adapt */
4834:       num = 0;
4835:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4836:       if (num) {
4837:         DMAdaptor   adaptor;
4838:         const char *prefix;

4840:         incall = PETSC_TRUE;
4841:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4842:         PetscCall(SNESGetOptionsPrefix(snes, &prefix));
4843:         PetscCall(DMAdaptorSetOptionsPrefix(adaptor, prefix));
4844:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4845:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4846:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4847:         PetscCall(DMAdaptorSetUp(adaptor));
4848:         PetscCall(PetscObjectViewFromOptions((PetscObject)adaptor, NULL, "-snes_adapt_view"));
4849:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4850:         PetscCall(DMAdaptorDestroy(&adaptor));
4851:         incall = PETSC_FALSE;
4852:       }
4853:     }
4854:   }
4855:   if (!x) x = snes->vec_sol;
4856:   if (!x) {
4857:     PetscCall(SNESGetDM(snes, &dm));
4858:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4859:     x = xcreated;
4860:   }
4861:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4863:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4864:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4865:     /* set solution vector */
4866:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4867:     PetscCall(VecDestroy(&snes->vec_sol));
4868:     snes->vec_sol = x;
4869:     PetscCall(SNESGetDM(snes, &dm));

4871:     /* set affine vector if provided */
4872:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4873:     PetscCall(VecDestroy(&snes->vec_rhs));
4874:     snes->vec_rhs = b;

4876:     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");
4877:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4878:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4879:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4880:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4881:     PetscCall(SNESSetUp(snes));

4883:     if (!grid) {
4884:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4885:     }

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

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

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

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

4911:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4912:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4913:       PetscCall(DMGetCoordinatesLocalSetUp(fine));
4914:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4915:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4916:       PetscCall(MatInterpolate(interp, x, xnew));
4917:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4918:       PetscCall(MatDestroy(&interp));
4919:       x = xnew;

4921:       PetscCall(SNESReset(snes));
4922:       PetscCall(SNESSetDM(snes, fine));
4923:       PetscCall(SNESResetFromOptions(snes));
4924:       PetscCall(DMDestroy(&fine));
4925:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4926:     }
4927:   }
4928:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4929:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4930:   PetscCall(DMMonitor(snes->dm));
4931:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4933:   PetscCall(VecDestroy(&xcreated));
4934:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4935:   PetscFunctionReturn(PETSC_SUCCESS);
4936: }

4938: /* --------- Internal routines for SNES Package --------- */

4940: /*@
4941:   SNESSetType - Sets the algorithm/method to be used to solve the nonlinear system with the given `SNES`

4943:   Collective

4945:   Input Parameters:
4946: + snes - the `SNES` context
4947: - type - a known method

4949:   Options Database Key:
4950: . -snes_type <type> - Sets the method; use -help for a list
4951:    of available methods (for instance, newtonls or newtontr)

4953:   Level: intermediate

4955:   Notes:
4956:   See `SNESType` for available methods (for instance)
4957: +    `SNESNEWTONLS` - Newton's method with line search
4958:   (systems of nonlinear equations)
4959: -    `SNESNEWTONTR` - Newton's method with trust region
4960:   (systems of nonlinear equations)

4962:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4963:   set the `SNES` solver type from the options database rather than by using
4964:   this routine.  Using the options database provides the user with
4965:   maximum flexibility in evaluating the many nonlinear solvers.
4966:   The `SNESSetType()` routine is provided for those situations where it
4967:   is necessary to set the nonlinear solver independently of the command
4968:   line or options database.  This might be the case, for example, when
4969:   the choice of solver changes during the execution of the program,
4970:   and the user's application is taking responsibility for choosing the
4971:   appropriate method.

4973:   Developer Note:
4974:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4975:   the constructor in that list and calls it to create the specific object.

4977: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4978: @*/
4979: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4980: {
4981:   PetscBool match;
4982:   PetscErrorCode (*r)(SNES);

4984:   PetscFunctionBegin;
4986:   PetscAssertPointer(type, 2);

4988:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4989:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4991:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4992:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4993:   /* Destroy the previous private SNES context */
4994:   PetscTryTypeMethod(snes, destroy);
4995:   /* Reinitialize type-specific function pointers in SNESOps structure */
4996:   snes->ops->reset          = NULL;
4997:   snes->ops->setup          = NULL;
4998:   snes->ops->solve          = NULL;
4999:   snes->ops->view           = NULL;
5000:   snes->ops->setfromoptions = NULL;
5001:   snes->ops->destroy        = NULL;

5003:   /* It may happen the user has customized the line search before calling SNESSetType */
5004:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5006:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
5007:   snes->setupcalled = PETSC_FALSE;

5009:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
5010:   PetscCall((*r)(snes));
5011:   PetscFunctionReturn(PETSC_SUCCESS);
5012: }

5014: /*@
5015:   SNESGetType - Gets the `SNES` method type and name (as a string).

5017:   Not Collective

5019:   Input Parameter:
5020: . snes - nonlinear solver context

5022:   Output Parameter:
5023: . type - `SNES` method (a character string)

5025:   Level: intermediate

5027: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
5028: @*/
5029: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
5030: {
5031:   PetscFunctionBegin;
5033:   PetscAssertPointer(type, 2);
5034:   *type = ((PetscObject)snes)->type_name;
5035:   PetscFunctionReturn(PETSC_SUCCESS);
5036: }

5038: /*@
5039:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

5041:   Logically Collective

5043:   Input Parameters:
5044: + snes - the `SNES` context obtained from `SNESCreate()`
5045: - u    - the solution vector

5047:   Level: beginner

5049: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
5050: @*/
5051: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
5052: {
5053:   DM dm;

5055:   PetscFunctionBegin;
5058:   PetscCall(PetscObjectReference((PetscObject)u));
5059:   PetscCall(VecDestroy(&snes->vec_sol));

5061:   snes->vec_sol = u;

5063:   PetscCall(SNESGetDM(snes, &dm));
5064:   PetscCall(DMShellSetGlobalVector(dm, u));
5065:   PetscFunctionReturn(PETSC_SUCCESS);
5066: }

5068: /*@
5069:   SNESGetSolution - Returns the vector where the approximate solution is
5070:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

5072:   Not Collective, but `x` is parallel if `snes` is parallel

5074:   Input Parameter:
5075: . snes - the `SNES` context

5077:   Output Parameter:
5078: . x - the solution

5080:   Level: intermediate

5082: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
5083: @*/
5084: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
5085: {
5086:   PetscFunctionBegin;
5088:   PetscAssertPointer(x, 2);
5089:   *x = snes->vec_sol;
5090:   PetscFunctionReturn(PETSC_SUCCESS);
5091: }

5093: /*@
5094:   SNESGetSolutionUpdate - Returns the vector where the solution update is
5095:   stored.

5097:   Not Collective, but `x` is parallel if `snes` is parallel

5099:   Input Parameter:
5100: . snes - the `SNES` context

5102:   Output Parameter:
5103: . x - the solution update

5105:   Level: advanced

5107: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
5108: @*/
5109: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
5110: {
5111:   PetscFunctionBegin;
5113:   PetscAssertPointer(x, 2);
5114:   *x = snes->vec_sol_update;
5115:   PetscFunctionReturn(PETSC_SUCCESS);
5116: }

5118: /*@C
5119:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

5121:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

5123:   Input Parameter:
5124: . snes - the `SNES` context

5126:   Output Parameters:
5127: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
5128: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
5129: - ctx - the function context (or `NULL` if you don't want it)

5131:   Level: advanced

5133:   Note:
5134:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

5136: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
5137: @*/
5138: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, void **ctx)
5139: {
5140:   DM dm;

5142:   PetscFunctionBegin;
5144:   if (r) {
5145:     if (!snes->vec_func) {
5146:       if (snes->vec_rhs) {
5147:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5148:       } else if (snes->vec_sol) {
5149:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5150:       } else if (snes->dm) {
5151:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5152:       }
5153:     }
5154:     *r = snes->vec_func;
5155:   }
5156:   PetscCall(SNESGetDM(snes, &dm));
5157:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5158:   PetscFunctionReturn(PETSC_SUCCESS);
5159: }

5161: /*@C
5162:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5164:   Input Parameter:
5165: . snes - the `SNES` context

5167:   Output Parameters:
5168: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5169: - ctx - the function context (or `NULL`)

5171:   Level: advanced

5173: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5174: @*/
5175: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, void **ctx)
5176: {
5177:   DM dm;

5179:   PetscFunctionBegin;
5181:   PetscCall(SNESGetDM(snes, &dm));
5182:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5183:   PetscFunctionReturn(PETSC_SUCCESS);
5184: }

5186: /*@
5187:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5188:   `SNES` options in the database.

5190:   Logically Collective

5192:   Input Parameters:
5193: + snes   - the `SNES` context
5194: - prefix - the prefix to prepend to all option names

5196:   Level: advanced

5198:   Note:
5199:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5200:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5202: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5203: @*/
5204: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5205: {
5206:   PetscFunctionBegin;
5208:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5209:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5210:   if (snes->linesearch) {
5211:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5212:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5213:   }
5214:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5215:   PetscFunctionReturn(PETSC_SUCCESS);
5216: }

5218: /*@
5219:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5220:   `SNES` options in the database.

5222:   Logically Collective

5224:   Input Parameters:
5225: + snes   - the `SNES` context
5226: - prefix - the prefix to prepend to all option names

5228:   Level: advanced

5230:   Note:
5231:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5232:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5234: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5235: @*/
5236: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5237: {
5238:   PetscFunctionBegin;
5240:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5241:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5242:   if (snes->linesearch) {
5243:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5244:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5245:   }
5246:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5247:   PetscFunctionReturn(PETSC_SUCCESS);
5248: }

5250: /*@
5251:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5252:   `SNES` options in the database.

5254:   Not Collective

5256:   Input Parameter:
5257: . snes - the `SNES` context

5259:   Output Parameter:
5260: . prefix - pointer to the prefix string used

5262:   Level: advanced

5264: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5265: @*/
5266: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5267: {
5268:   PetscFunctionBegin;
5270:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5271:   PetscFunctionReturn(PETSC_SUCCESS);
5272: }

5274: /*@C
5275:   SNESRegister - Adds a method to the nonlinear solver package.

5277:   Not Collective

5279:   Input Parameters:
5280: + sname    - name of a new user-defined solver
5281: - function - routine to create method context

5283:   Level: advanced

5285:   Note:
5286:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5288:   Example Usage:
5289: .vb
5290:    SNESRegister("my_solver", MySolverCreate);
5291: .ve

5293:   Then, your solver can be chosen with the procedural interface via
5294: .vb
5295:   SNESSetType(snes, "my_solver")
5296: .ve
5297:   or at runtime via the option
5298: .vb
5299:   -snes_type my_solver
5300: .ve

5302: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5303: @*/
5304: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5305: {
5306:   PetscFunctionBegin;
5307:   PetscCall(SNESInitializePackage());
5308:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5309:   PetscFunctionReturn(PETSC_SUCCESS);
5310: }

5312: PetscErrorCode SNESTestLocalMin(SNES snes)
5313: {
5314:   PetscInt    N, i, j;
5315:   Vec         u, uh, fh;
5316:   PetscScalar value;
5317:   PetscReal   norm;

5319:   PetscFunctionBegin;
5320:   PetscCall(SNESGetSolution(snes, &u));
5321:   PetscCall(VecDuplicate(u, &uh));
5322:   PetscCall(VecDuplicate(u, &fh));

5324:   /* currently only works for sequential */
5325:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5326:   PetscCall(VecGetSize(u, &N));
5327:   for (i = 0; i < N; i++) {
5328:     PetscCall(VecCopy(u, uh));
5329:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5330:     for (j = -10; j < 11; j++) {
5331:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5332:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5333:       PetscCall(SNESComputeFunction(snes, uh, fh));
5334:       PetscCall(VecNorm(fh, NORM_2, &norm));
5335:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5336:       value = -value;
5337:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5338:     }
5339:   }
5340:   PetscCall(VecDestroy(&uh));
5341:   PetscCall(VecDestroy(&fh));
5342:   PetscFunctionReturn(PETSC_SUCCESS);
5343: }

5345: /*@
5346:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5347:   computing relative tolerance for linear solvers within an inexact
5348:   Newton method.

5350:   Logically Collective

5352:   Input Parameters:
5353: + snes - `SNES` context
5354: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5356:   Options Database Keys:
5357: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5358: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5359: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5360: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5361: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5362: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5363: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5364: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5366:   Level: advanced

5368:   Note:
5369:   The default is to use a constant relative tolerance for
5370:   the inner linear solvers.  Alternatively, one can use the
5371:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5372:   is reset at each Newton iteration according progress of the nonlinear
5373:   solver.

5375: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5376: @*/
5377: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5378: {
5379:   PetscFunctionBegin;
5382:   snes->ksp_ewconv = flag;
5383:   PetscFunctionReturn(PETSC_SUCCESS);
5384: }

5386: /*@
5387:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5388:   for computing relative tolerance for linear solvers within an
5389:   inexact Newton method.

5391:   Not Collective

5393:   Input Parameter:
5394: . snes - `SNES` context

5396:   Output Parameter:
5397: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5399:   Level: advanced

5401: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5402: @*/
5403: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5404: {
5405:   PetscFunctionBegin;
5407:   PetscAssertPointer(flag, 2);
5408:   *flag = snes->ksp_ewconv;
5409:   PetscFunctionReturn(PETSC_SUCCESS);
5410: }

5412: /*@
5413:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5414:   convergence criteria for the linear solvers within an inexact
5415:   Newton method.

5417:   Logically Collective

5419:   Input Parameters:
5420: + snes      - `SNES` context
5421: . version   - version 1, 2 (default is 2), 3 or 4
5422: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5423: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5424: . gamma     - multiplicative factor for version 2 rtol computation
5425:              (0 <= gamma2 <= 1)
5426: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5427: . alpha2    - power for safeguard
5428: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5430:   Level: advanced

5432:   Notes:
5433:   Version 3 was contributed by Luis Chacon, June 2006.

5435:   Use `PETSC_CURRENT` to retain the default for any of the parameters.

5437: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5438: @*/
5439: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5440: {
5441:   SNESKSPEW *kctx;

5443:   PetscFunctionBegin;
5445:   kctx = (SNESKSPEW *)snes->kspconvctx;
5446:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5455:   if (version != PETSC_CURRENT) kctx->version = version;
5456:   if (rtol_0 != (PetscReal)PETSC_CURRENT) kctx->rtol_0 = rtol_0;
5457:   if (rtol_max != (PetscReal)PETSC_CURRENT) kctx->rtol_max = rtol_max;
5458:   if (gamma != (PetscReal)PETSC_CURRENT) kctx->gamma = gamma;
5459:   if (alpha != (PetscReal)PETSC_CURRENT) kctx->alpha = alpha;
5460:   if (alpha2 != (PetscReal)PETSC_CURRENT) kctx->alpha2 = alpha2;
5461:   if (threshold != (PetscReal)PETSC_CURRENT) kctx->threshold = threshold;

5463:   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);
5464:   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);
5465:   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);
5466:   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);
5467:   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);
5468:   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);
5469:   PetscFunctionReturn(PETSC_SUCCESS);
5470: }

5472: /*@
5473:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5474:   convergence criteria for the linear solvers within an inexact
5475:   Newton method.

5477:   Not Collective

5479:   Input Parameter:
5480: . snes - `SNES` context

5482:   Output Parameters:
5483: + version   - version 1, 2 (default is 2), 3 or 4
5484: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5485: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5486: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5487: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5488: . alpha2    - power for safeguard
5489: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5491:   Level: advanced

5493: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5494: @*/
5495: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5496: {
5497:   SNESKSPEW *kctx;

5499:   PetscFunctionBegin;
5501:   kctx = (SNESKSPEW *)snes->kspconvctx;
5502:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5503:   if (version) *version = kctx->version;
5504:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5505:   if (rtol_max) *rtol_max = kctx->rtol_max;
5506:   if (gamma) *gamma = kctx->gamma;
5507:   if (alpha) *alpha = kctx->alpha;
5508:   if (alpha2) *alpha2 = kctx->alpha2;
5509:   if (threshold) *threshold = kctx->threshold;
5510:   PetscFunctionReturn(PETSC_SUCCESS);
5511: }

5513: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5514: {
5515:   SNES       snes = (SNES)ctx;
5516:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5517:   PetscReal  rtol = PETSC_CURRENT, stol;

5519:   PetscFunctionBegin;
5520:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5521:   if (!snes->iter) {
5522:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5523:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5524:   } else {
5525:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5526:     if (kctx->version == 1) {
5527:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5528:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5529:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5530:     } else if (kctx->version == 2) {
5531:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5532:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5533:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5534:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5535:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5536:       /* safeguard: avoid sharp decrease of rtol */
5537:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5538:       stol = PetscMax(rtol, stol);
5539:       rtol = PetscMin(kctx->rtol_0, stol);
5540:       /* safeguard: avoid oversolving */
5541:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5542:       stol = PetscMax(rtol, stol);
5543:       rtol = PetscMin(kctx->rtol_0, stol);
5544:     } else /* if (kctx->version == 4) */ {
5545:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5546:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5547:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5548:       PetscReal rk   = ared / pred;
5549:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5550:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5551:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5552:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5554:       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;
5555:       kctx->rtol_last_2 = kctx->rtol_last;
5556:       kctx->rk_last_2   = kctx->rk_last;
5557:       kctx->rk_last     = rk;
5558:     }
5559:   }
5560:   /* safeguard: avoid rtol greater than rtol_max */
5561:   rtol = PetscMin(rtol, kctx->rtol_max);
5562:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT));
5563:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5564:   PetscFunctionReturn(PETSC_SUCCESS);
5565: }

5567: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5568: {
5569:   SNES       snes = (SNES)ctx;
5570:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5571:   PCSide     pcside;
5572:   Vec        lres;

5574:   PetscFunctionBegin;
5575:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5576:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5577:   kctx->norm_last = snes->norm;
5578:   if (kctx->version == 1 || kctx->version == 4) {
5579:     PC        pc;
5580:     PetscBool getRes;

5582:     PetscCall(KSPGetPC(ksp, &pc));
5583:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5584:     if (!getRes) {
5585:       KSPNormType normtype;

5587:       PetscCall(KSPGetNormType(ksp, &normtype));
5588:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5589:     }
5590:     PetscCall(KSPGetPCSide(ksp, &pcside));
5591:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5592:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5593:     } else {
5594:       /* KSP residual is preconditioned residual */
5595:       /* compute true linear residual norm */
5596:       Mat J;
5597:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5598:       PetscCall(VecDuplicate(b, &lres));
5599:       PetscCall(MatMult(J, x, lres));
5600:       PetscCall(VecAYPX(lres, -1.0, b));
5601:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5602:       PetscCall(VecDestroy(&lres));
5603:     }
5604:   }
5605:   PetscFunctionReturn(PETSC_SUCCESS);
5606: }

5608: /*@
5609:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5611:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5613:   Input Parameter:
5614: . snes - the `SNES` context

5616:   Output Parameter:
5617: . ksp - the `KSP` context

5619:   Level: beginner

5621:   Notes:
5622:   The user can then directly manipulate the `KSP` context to set various
5623:   options, etc.  Likewise, the user can then extract and manipulate the
5624:   `PC` contexts as well.

5626:   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.

5628: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5629: @*/
5630: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5631: {
5632:   PetscFunctionBegin;
5634:   PetscAssertPointer(ksp, 2);

5636:   if (!snes->ksp) {
5637:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5638:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5640:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5641:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5643:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5644:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5645:   }
5646:   *ksp = snes->ksp;
5647:   PetscFunctionReturn(PETSC_SUCCESS);
5648: }

5650: #include <petsc/private/dmimpl.h>
5651: /*@
5652:   SNESSetDM - Sets the `DM` that may be used by some `SNES` nonlinear solvers or their underlying preconditioners

5654:   Logically Collective

5656:   Input Parameters:
5657: + snes - the nonlinear solver context
5658: - dm   - the `DM`, cannot be `NULL`

5660:   Level: intermediate

5662:   Note:
5663:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5664:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5665:   problems using the same function space.

5667: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5668: @*/
5669: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5670: {
5671:   KSP    ksp;
5672:   DMSNES sdm;

5674:   PetscFunctionBegin;
5677:   PetscCall(PetscObjectReference((PetscObject)dm));
5678:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5679:     if (snes->dm->dmsnes && !dm->dmsnes) {
5680:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5681:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5682:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5683:     }
5684:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5685:     PetscCall(DMDestroy(&snes->dm));
5686:   }
5687:   snes->dm     = dm;
5688:   snes->dmAuto = PETSC_FALSE;

5690:   PetscCall(SNESGetKSP(snes, &ksp));
5691:   PetscCall(KSPSetDM(ksp, dm));
5692:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5693:   if (snes->npc) {
5694:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5695:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5696:   }
5697:   PetscFunctionReturn(PETSC_SUCCESS);
5698: }

5700: /*@
5701:   SNESGetDM - Gets the `DM` that may be used by some `SNES` nonlinear solvers/preconditioners

5703:   Not Collective but `dm` obtained is parallel on `snes`

5705:   Input Parameter:
5706: . snes - the `SNES` context

5708:   Output Parameter:
5709: . dm - the `DM`

5711:   Level: intermediate

5713: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5714: @*/
5715: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5716: {
5717:   PetscFunctionBegin;
5719:   if (!snes->dm) {
5720:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5721:     snes->dmAuto = PETSC_TRUE;
5722:   }
5723:   *dm = snes->dm;
5724:   PetscFunctionReturn(PETSC_SUCCESS);
5725: }

5727: /*@
5728:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5730:   Collective

5732:   Input Parameters:
5733: + snes - iterative context obtained from `SNESCreate()`
5734: - npc  - the `SNES` nonlinear preconditioner object

5736:   Options Database Key:
5737: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5739:   Level: developer

5741:   Notes:
5742:   This is rarely used, rather use `SNESGetNPC()` to retrieve the preconditioner and configure it using the API.

5744:   Only some `SNESType` can use a nonlinear preconditioner

5746: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5747: @*/
5748: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5749: {
5750:   PetscFunctionBegin;
5753:   PetscCheckSameComm(snes, 1, npc, 2);
5754:   PetscCall(PetscObjectReference((PetscObject)npc));
5755:   PetscCall(SNESDestroy(&snes->npc));
5756:   snes->npc = npc;
5757:   PetscFunctionReturn(PETSC_SUCCESS);
5758: }

5760: /*@
5761:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5763:   Not Collective; but any changes to the obtained the `pc` object must be applied collectively

5765:   Input Parameter:
5766: . snes - iterative context obtained from `SNESCreate()`

5768:   Output Parameter:
5769: . pc - the `SNES` preconditioner context

5771:   Options Database Key:
5772: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5774:   Level: advanced

5776:   Notes:
5777:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created that will
5778:   be used as the nonlinear preconditioner for the current `SNES`.

5780:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5781:   `SNES`. These may be overwritten if needed.

5783:   Use the options database prefixes `-npc_snes`, `-npc_ksp`, etc., to control the configuration of the nonlinear preconditioner

5785: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5786: @*/
5787: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5788: {
5789:   const char *optionsprefix;

5791:   PetscFunctionBegin;
5793:   PetscAssertPointer(pc, 2);
5794:   if (!snes->npc) {
5795:     void *ctx;

5797:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5798:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5799:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5800:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5801:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5802:     if (snes->ops->usercompute) {
5803:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->usercompute, snes->ops->ctxdestroy));
5804:     } else {
5805:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5806:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5807:     }
5808:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5809:   }
5810:   *pc = snes->npc;
5811:   PetscFunctionReturn(PETSC_SUCCESS);
5812: }

5814: /*@
5815:   SNESHasNPC - Returns whether a nonlinear preconditioner is associated with the given `SNES`

5817:   Not Collective

5819:   Input Parameter:
5820: . snes - iterative context obtained from `SNESCreate()`

5822:   Output Parameter:
5823: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5825:   Level: developer

5827: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5828: @*/
5829: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5830: {
5831:   PetscFunctionBegin;
5833:   PetscAssertPointer(has_npc, 2);
5834:   *has_npc = snes->npc ? PETSC_TRUE : PETSC_FALSE;
5835:   PetscFunctionReturn(PETSC_SUCCESS);
5836: }

5838: /*@
5839:   SNESSetNPCSide - Sets the nonlinear preconditioning side used by the nonlinear preconditioner inside `SNES`.

5841:   Logically Collective

5843:   Input Parameter:
5844: . snes - iterative context obtained from `SNESCreate()`

5846:   Output Parameter:
5847: . side - the preconditioning side, where side is one of
5848: .vb
5849:       PC_LEFT  - left preconditioning
5850:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5851: .ve

5853:   Options Database Key:
5854: . -snes_npc_side <right,left> - nonlinear preconditioner side

5856:   Level: intermediate

5858:   Note:
5859:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5861: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5862: @*/
5863: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5864: {
5865:   PetscFunctionBegin;
5868:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5869:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5870:   snes->npcside = side;
5871:   PetscFunctionReturn(PETSC_SUCCESS);
5872: }

5874: /*@
5875:   SNESGetNPCSide - Gets the preconditioning side used by the nonlinear preconditioner inside `SNES`.

5877:   Not Collective

5879:   Input Parameter:
5880: . snes - iterative context obtained from `SNESCreate()`

5882:   Output Parameter:
5883: . side - the preconditioning side, where side is one of
5884: .vb
5885:       `PC_LEFT` - left preconditioning
5886:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5887: .ve

5889:   Level: intermediate

5891: .seealso: [](ch_snes), `SNES`, `SNESGetNPC()`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5892: @*/
5893: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5894: {
5895:   PetscFunctionBegin;
5897:   PetscAssertPointer(side, 2);
5898:   *side = snes->npcside;
5899:   PetscFunctionReturn(PETSC_SUCCESS);
5900: }

5902: /*@
5903:   SNESSetLineSearch - Sets the `SNESLineSearch` to be used for a given `SNES`

5905:   Collective

5907:   Input Parameters:
5908: + snes       - iterative context obtained from `SNESCreate()`
5909: - linesearch - the linesearch object

5911:   Level: developer

5913:   Note:
5914:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5915:   to configure it using the API).

5917: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5918: @*/
5919: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5920: {
5921:   PetscFunctionBegin;
5924:   PetscCheckSameComm(snes, 1, linesearch, 2);
5925:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5926:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5928:   snes->linesearch = linesearch;
5929:   PetscFunctionReturn(PETSC_SUCCESS);
5930: }

5932: /*@
5933:   SNESGetLineSearch - Returns the line search associated with the `SNES`.

5935:   Not Collective

5937:   Input Parameter:
5938: . snes - iterative context obtained from `SNESCreate()`

5940:   Output Parameter:
5941: . linesearch - linesearch context

5943:   Level: beginner

5945:   Notes:
5946:   It creates a default line search instance which can be configured as needed in case it has not been already set with `SNESSetLineSearch()`.

5948:   You can also use the options database keys `-snes_linesearch_*` to configure the line search. See `SNESLineSearchSetFromOptions()` for the possible options.

5950: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`, `SNESLineSearchSetFromOptions()`
5951: @*/
5952: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5953: {
5954:   const char *optionsprefix;

5956:   PetscFunctionBegin;
5958:   PetscAssertPointer(linesearch, 2);
5959:   if (!snes->linesearch) {
5960:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5961:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5962:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5963:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5964:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5965:   }
5966:   *linesearch = snes->linesearch;
5967:   PetscFunctionReturn(PETSC_SUCCESS);
5968: }