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_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: /*@C
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: /*@C
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: /*@C
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      iascii, 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, &iascii));
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 (iascii) {
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:     PetscCall(PetscViewerASCIIPrintf(viewer, "  maximum iterations=%" PetscInt_FMT ", maximum function evaluations=%" PetscInt_FMT "\n", snes->max_its, snes->max_funcs));
420:     PetscCall(PetscViewerASCIIPrintf(viewer, "  tolerances: relative=%g, absolute=%g, solution=%g\n", (double)snes->rtol, (double)snes->abstol, (double)snes->stol));
421:     if (snes->usesksp) PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of linear solver iterations=%" PetscInt_FMT "\n", snes->linear_its));
422:     PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of function evaluations=%" PetscInt_FMT "\n", snes->nfuncs));
423:     PetscCall(SNESGetNormSchedule(snes, &normschedule));
424:     if (normschedule > 0) PetscCall(PetscViewerASCIIPrintf(viewer, "  norm schedule %s\n", SNESNormSchedules[normschedule]));
425:     if (snes->gridsequence) PetscCall(PetscViewerASCIIPrintf(viewer, "  total number of grid sequence refinements=%" PetscInt_FMT "\n", snes->gridsequence));
426:     if (snes->ksp_ewconv) {
427:       kctx = (SNESKSPEW *)snes->kspconvctx;
428:       if (kctx) {
429:         PetscCall(PetscViewerASCIIPrintf(viewer, "  Eisenstat-Walker computation of KSP relative tolerance (version %" PetscInt_FMT ")\n", kctx->version));
430:         PetscCall(PetscViewerASCIIPrintf(viewer, "    rtol_0=%g, rtol_max=%g, threshold=%g\n", (double)kctx->rtol_0, (double)kctx->rtol_max, (double)kctx->threshold));
431:         PetscCall(PetscViewerASCIIPrintf(viewer, "    gamma=%g, alpha=%g, alpha2=%g\n", (double)kctx->gamma, (double)kctx->alpha, (double)kctx->alpha2));
432:       }
433:     }
434:     if (snes->lagpreconditioner == -1) {
435:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Preconditioned is never rebuilt\n"));
436:     } else if (snes->lagpreconditioner > 1) {
437:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Preconditioned is rebuilt every %" PetscInt_FMT " new Jacobians\n", snes->lagpreconditioner));
438:     }
439:     if (snes->lagjacobian == -1) {
440:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is never rebuilt\n"));
441:     } else if (snes->lagjacobian > 1) {
442:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is rebuilt every %" PetscInt_FMT " SNES iterations\n", snes->lagjacobian));
443:     }
444:     PetscCall(SNESGetDM(snes, &dm));
445:     PetscCall(DMSNESGetJacobian(dm, &cJ, &ctx));
446:     if (snes->mf_operator) {
447:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is applied matrix-free with differencing\n"));
448:       pre = "Preconditioning ";
449:     }
450:     if (cJ == SNESComputeJacobianDefault) {
451:       PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using finite differences one column at a time\n", pre));
452:     } else if (cJ == SNESComputeJacobianDefaultColor) {
453:       PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using finite differences with coloring\n", pre));
454:       /* it slightly breaks data encapsulation for access the DMDA information directly */
455:     } else if (cJ == SNESComputeJacobian_DMDA) {
456:       MatFDColoring fdcoloring;
457:       PetscCall(PetscObjectQuery((PetscObject)dm, "DMDASNES_FDCOLORING", (PetscObject *)&fdcoloring));
458:       if (fdcoloring) {
459:         PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using colored finite differences on a DMDA\n", pre));
460:       } else {
461:         PetscCall(PetscViewerASCIIPrintf(viewer, "  %sJacobian is built using a DMDA local Jacobian\n", pre));
462:       }
463:     } else if (snes->mf && !snes->mf_operator) {
464:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Jacobian is applied matrix-free with differencing, no explicit Jacobian\n"));
465:     }
466:   } else if (isstring) {
467:     const char *type;
468:     PetscCall(SNESGetType(snes, &type));
469:     PetscCall(PetscViewerStringSPrintf(viewer, " SNESType: %-7.7s", type));
470:     PetscTryTypeMethod(snes, view, viewer);
471:   } else if (isbinary) {
472:     PetscInt    classid = SNES_FILE_CLASSID;
473:     MPI_Comm    comm;
474:     PetscMPIInt rank;
475:     char        type[256];

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

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

503:     PetscCall(PetscObjectGetName((PetscObject)snes, &name));
504:     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
505:     if (!((PetscObject)snes)->amsmem && rank == 0) {
506:       char dir[1024];

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

546: /*
547:   We retain a list of functions that also take SNES command
548:   line options. These are called at the end SNESSetFromOptions()
549: */
550: #define MAXSETFROMOPTIONS 5
551: static PetscInt numberofsetfromoptions;
552: static PetscErrorCode (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

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

557:   Not Collective

559:   Input Parameter:
560: . snescheck - function that checks for options

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

565:   Level: developer

567: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`
568: @*/
569: PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*snescheck)(SNES snes))
570: {
571:   PetscFunctionBegin;
572:   PetscCheck(numberofsetfromoptions < MAXSETFROMOPTIONS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many options checkers, only %d allowed", MAXSETFROMOPTIONS);
573:   othersetfromoptions[numberofsetfromoptions++] = snescheck;
574:   PetscFunctionReturn(PETSC_SUCCESS);
575: }

577: static PetscErrorCode SNESSetUpMatrixFree_Private(SNES snes, PetscBool hasOperator, PetscInt version)
578: {
579:   Mat          J;
580:   MatNullSpace nullsp;

582:   PetscFunctionBegin;

585:   if (!snes->vec_func && (snes->jacobian || snes->jacobian_pre)) {
586:     Mat A = snes->jacobian, B = snes->jacobian_pre;
587:     PetscCall(MatCreateVecs(A ? A : B, NULL, &snes->vec_func));
588:   }

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

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

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

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

641: static PetscErrorCode DMRestrictHook_SNESVecSol(DM dmfine, Mat Restrict, Vec Rscale, Mat Inject, DM dmcoarse, void *ctx)
642: {
643:   SNES snes = (SNES)ctx;
644:   Vec  Xfine, Xfine_named = NULL, Xcoarse;

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

672: static PetscErrorCode DMCoarsenHook_SNESVecSol(DM dm, DM dmc, void *ctx)
673: {
674:   PetscFunctionBegin;
675:   PetscCall(DMCoarsenHookAdd(dmc, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, ctx));
676:   PetscFunctionReturn(PETSC_SUCCESS);
677: }

679: /* This may be called to rediscretize the operator on levels of linear multigrid. The DM shuffle is so the user can
680:  * safely call SNESGetDM() in their residual evaluation routine. */
681: static PetscErrorCode KSPComputeOperators_SNES(KSP ksp, Mat A, Mat B, void *ctx)
682: {
683:   SNES            snes = (SNES)ctx;
684:   DMSNES          sdm;
685:   Vec             X, Xnamed = NULL;
686:   DM              dmsave;
687:   void           *ctxsave;
688:   SNESJacobianFn *jac = NULL;

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

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

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

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

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

728:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
729:   snes->dm = dmsave;
730:   PetscFunctionReturn(PETSC_SUCCESS);
731: }

733: /*@
734:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

736:   Collective

738:   Input Parameter:
739: . snes - `SNES` object to configure

741:   Level: developer

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

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

751: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
752: @*/
753: PetscErrorCode SNESSetUpMatrices(SNES snes)
754: {
755:   DM     dm;
756:   DMSNES sdm;

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

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

804: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
805: {
806:   PetscInt i;

808:   PetscFunctionBegin;
809:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
810:   for (i = 0; i < snes->numbermonitors; ++i) {
811:     PetscViewerAndFormat *vf = (PetscViewerAndFormat *)snes->monitorcontext[i];
812:     PetscDraw             draw;
813:     PetscReal             lpause;

815:     if (!vf) continue;
816:     if (vf->lg) {
817:       if (!PetscCheckPointer(vf->lg, PETSC_OBJECT)) continue;
818:       if (((PetscObject)vf->lg)->classid != PETSC_DRAWLG_CLASSID) continue;
819:       PetscCall(PetscDrawLGGetDraw(vf->lg, &draw));
820:       PetscCall(PetscDrawGetPause(draw, &lpause));
821:       PetscCall(PetscDrawSetPause(draw, -1.0));
822:       PetscCall(PetscDrawPause(draw));
823:       PetscCall(PetscDrawSetPause(draw, lpause));
824:     } else {
825:       PetscBool isdraw;

827:       if (!PetscCheckPointer(vf->viewer, PETSC_OBJECT)) continue;
828:       if (((PetscObject)vf->viewer)->classid != PETSC_VIEWER_CLASSID) continue;
829:       PetscCall(PetscObjectTypeCompare((PetscObject)vf->viewer, PETSCVIEWERDRAW, &isdraw));
830:       if (!isdraw) continue;
831:       PetscCall(PetscViewerDrawGetDraw(vf->viewer, 0, &draw));
832:       PetscCall(PetscDrawGetPause(draw, &lpause));
833:       PetscCall(PetscDrawSetPause(draw, -1.0));
834:       PetscCall(PetscDrawPause(draw));
835:       PetscCall(PetscDrawSetPause(draw, lpause));
836:     }
837:   }
838:   PetscFunctionReturn(PETSC_SUCCESS);
839: }

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

844:   Collective

846:   Input Parameters:
847: + snes         - `SNES` object you wish to monitor
848: . name         - the monitor type one is seeking
849: . help         - message indicating what monitoring is done
850: . manual       - manual page for the monitor
851: . monitor      - the monitor function
852: - 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

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

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

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

867:   Level: advanced

869: .seealso: [](ch_snes), `PetscOptionsGetViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
870:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`
871:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
872:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
873:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
874:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
875:           `PetscOptionsFList()`, `PetscOptionsEList()`
876: @*/
877: 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))
878: {
879:   PetscViewer       viewer;
880:   PetscViewerFormat format;
881:   PetscBool         flg;

883:   PetscFunctionBegin;
884:   PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, name, &viewer, &format, &flg));
885:   if (flg) {
886:     PetscViewerAndFormat *vf;
887:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
888:     PetscCall(PetscOptionsRestoreViewer(&viewer));
889:     if (monitorsetup) PetscCall((*monitorsetup)(snes, vf));
890:     PetscCall(SNESMonitorSet(snes, (PetscErrorCode(*)(SNES, PetscInt, PetscReal, void *))monitor, vf, (PetscErrorCode(*)(void **))PetscViewerAndFormatDestroy));
891:   }
892:   PetscFunctionReturn(PETSC_SUCCESS);
893: }

895: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
896: {
897:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

899:   PetscFunctionBegin;
900:   PetscOptionsBegin(comm, prefix, "Eisenstat and Walker type forcing options", "KSP");
901:   PetscCall(PetscOptionsInt("-ksp_ew_version", "Version 1, 2 or 3", api, kctx->version, &kctx->version, NULL));
902:   PetscCall(PetscOptionsReal("-ksp_ew_rtol0", "0 <= rtol0 < 1", api, kctx->rtol_0, &kctx->rtol_0, NULL));
903:   kctx->rtol_max = PetscMax(kctx->rtol_0, kctx->rtol_max);
904:   PetscCall(PetscOptionsReal("-ksp_ew_rtolmax", "0 <= rtolmax < 1", api, kctx->rtol_max, &kctx->rtol_max, NULL));
905:   PetscCall(PetscOptionsReal("-ksp_ew_gamma", "0 <= gamma <= 1", api, kctx->gamma, &kctx->gamma, NULL));
906:   PetscCall(PetscOptionsReal("-ksp_ew_alpha", "1 < alpha <= 2", api, kctx->alpha, &kctx->alpha, NULL));
907:   PetscCall(PetscOptionsReal("-ksp_ew_alpha2", "alpha2", NULL, kctx->alpha2, &kctx->alpha2, NULL));
908:   PetscCall(PetscOptionsReal("-ksp_ew_threshold", "0 < threshold < 1", api, kctx->threshold, &kctx->threshold, NULL));
909:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p1", "p1", NULL, kctx->v4_p1, &kctx->v4_p1, NULL));
910:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p2", "p2", NULL, kctx->v4_p2, &kctx->v4_p2, NULL));
911:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p3", "p3", NULL, kctx->v4_p3, &kctx->v4_p3, NULL));
912:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m1", "Scaling when rk-1 in [p2,p3)", NULL, kctx->v4_m1, &kctx->v4_m1, NULL));
913:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m2", "Scaling when rk-1 in [p3,+infty)", NULL, kctx->v4_m2, &kctx->v4_m2, NULL));
914:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m3", "Threshold for successive rtol (0.1 in Eq.7)", NULL, kctx->v4_m3, &kctx->v4_m3, NULL));
915:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m4", "Adaptation scaling (0.5 in Eq.7)", NULL, kctx->v4_m4, &kctx->v4_m4, NULL));
916:   PetscOptionsEnd();
917:   PetscFunctionReturn(PETSC_SUCCESS);
918: }

920: /*@
921:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

923:   Collective

925:   Input Parameter:
926: . snes - the `SNES` context

928:   Options Database Keys:
929: + -snes_type <type>                                                            - newtonls, newtontr, ngmres, ncg, nrichardson, qn, vi, fas, `SNESType` for complete list
930: . -snes_stol <stol>                                                            - convergence tolerance in terms of the norm of the change in the solution between steps
931: . -snes_atol <abstol>                                                          - absolute tolerance of residual norm
932: . -snes_rtol <rtol>                                                            - relative decrease in tolerance norm from initial
933: . -snes_divergence_tolerance <divtol>                                          - if the residual goes above divtol*rnorm0, exit with divergence
934: . -snes_force_iteration <force>                                                - force `SNESSolve()` to take at least one iteration
935: . -snes_max_it <max_it>                                                        - maximum number of iterations
936: . -snes_max_funcs <max_funcs>                                                  - maximum number of function evaluations
937: . -snes_max_fail <max_fail>                                                    - maximum number of line search failures allowed before stopping, default is none
938: . -snes_max_linear_solve_fail                                                  - number of linear solver failures before SNESSolve() stops
939: . -snes_lag_preconditioner <lag>                                               - how often preconditioner is rebuilt (use -1 to never rebuild)
940: . -snes_lag_preconditioner_persists <true,false>                               - retains the -snes_lag_preconditioner information across multiple SNESSolve()
941: . -snes_lag_jacobian <lag>                                                     - how often Jacobian is rebuilt (use -1 to never rebuild)
942: . -snes_lag_jacobian_persists <true,false>                                     - retains the -snes_lag_jacobian information across multiple SNESSolve()
943: . -snes_tr_tol <trtol>                                                         - trust region tolerance
944: . -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.
945: . -snes_monitor [ascii][:filename][:viewer format]                             - prints residual norm at each iteration. if no filename given prints to stdout
946: . -snes_monitor_solution [ascii binary draw][:filename][:viewer format]        - plots solution at each iteration
947: . -snes_monitor_residual [ascii binary draw][:filename][:viewer format]        - plots residual (not its norm) at each iteration
948: . -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration
949: . -snes_monitor_lg_residualnorm                                                - plots residual norm at each iteration
950: . -snes_monitor_lg_range                                                       - plots residual norm at each iteration
951: . -snes_monitor_pause_final                                                    - Pauses all monitor drawing after the solver ends
952: . -snes_fd                                                                     - use finite differences to compute Jacobian; very slow, only for testing
953: . -snes_fd_color                                                               - use finite differences with coloring to compute Jacobian
954: . -snes_mf_ksp_monitor                                                         - if using matrix-free multiply then print h at each `KSP` iteration
955: . -snes_converged_reason                                                       - print the reason for convergence/divergence after each solve
956: . -npc_snes_type <type>                                                        - the `SNES` type to use as a nonlinear preconditioner
957: . -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.
958: - -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.

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

970:   Level: beginner

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

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

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

992:   PetscFunctionBegin;
994:   PetscCall(SNESRegisterAll());
995:   PetscObjectOptionsBegin((PetscObject)snes);
996:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
997:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, 256, &flg));
998:   if (flg) {
999:     PetscCall(SNESSetType(snes, type));
1000:   } else if (!((PetscObject)snes)->type_name) {
1001:     PetscCall(SNESSetType(snes, deft));
1002:   }
1003:   PetscCall(PetscOptionsReal("-snes_stol", "Stop if step length less than", "SNESSetTolerances", snes->stol, &snes->stol, NULL));
1004:   PetscCall(PetscOptionsReal("-snes_atol", "Stop if function norm less than", "SNESSetTolerances", snes->abstol, &snes->abstol, NULL));

1006:   PetscCall(PetscOptionsReal("-snes_rtol", "Stop if decrease in function norm less than", "SNESSetTolerances", snes->rtol, &snes->rtol, NULL));
1007:   PetscCall(PetscOptionsReal("-snes_divergence_tolerance", "Stop if residual norm increases by this factor", "SNESSetDivergenceTolerance", snes->divtol, &snes->divtol, NULL));
1008:   PetscCall(PetscOptionsInt("-snes_max_it", "Maximum iterations", "SNESSetTolerances", snes->max_its, &snes->max_its, NULL));
1009:   PetscCall(PetscOptionsInt("-snes_max_funcs", "Maximum function evaluations", "SNESSetTolerances", snes->max_funcs, &snes->max_funcs, NULL));
1010:   PetscCall(PetscOptionsInt("-snes_max_fail", "Maximum nonlinear step failures", "SNESSetMaxNonlinearStepFailures", snes->maxFailures, &snes->maxFailures, NULL));
1011:   PetscCall(PetscOptionsInt("-snes_max_linear_solve_fail", "Maximum failures in linear solves allowed", "SNESSetMaxLinearSolveFailures", snes->maxLinearSolveFailures, &snes->maxLinearSolveFailures, NULL));
1012:   PetscCall(PetscOptionsBool("-snes_error_if_not_converged", "Generate error if solver does not converge", "SNESSetErrorIfNotConverged", snes->errorifnotconverged, &snes->errorifnotconverged, NULL));
1013:   PetscCall(PetscOptionsBool("-snes_force_iteration", "Force SNESSolve() to take at least one iteration", "SNESSetForceIteration", snes->forceiteration, &snes->forceiteration, NULL));
1014:   PetscCall(PetscOptionsBool("-snes_check_jacobian_domain_error", "Check Jacobian domain error after Jacobian evaluation", "SNESCheckJacobianDomainError", snes->checkjacdomainerror, &snes->checkjacdomainerror, NULL));

1016:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1017:   if (flg) {
1018:     PetscCheck(lag != -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_USER, "Cannot set the lag to -1 from the command line since the preconditioner must be built as least once, perhaps you mean -2");
1019:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1020:   }
1021:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1022:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1023:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1024:   if (flg) {
1025:     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");
1026:     PetscCall(SNESSetLagJacobian(snes, lag));
1027:   }
1028:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1029:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1031:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1032:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1034:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1035:   if (flg) {
1036:     switch (indx) {
1037:     case 0:
1038:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1039:       break;
1040:     case 1:
1041:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1042:       break;
1043:     case 2:
1044:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1045:       break;
1046:     }
1047:   }

1049:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1050:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1052:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1053:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1055:   kctx = (SNESKSPEW *)snes->kspconvctx;

1057:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1059:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1060:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1061:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1063:   flg = PETSC_FALSE;
1064:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1065:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1067:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1068:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1069:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1071:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1072:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1073:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1074:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1075:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1076:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1077:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1078:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1080:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1081:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1083:   flg = PETSC_FALSE;
1084:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1085:   if (flg) {
1086:     PetscViewer ctx;

1088:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1089:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscErrorCode(*)(void **))PetscViewerDestroy));
1090:   }

1092:   flg = PETSC_FALSE;
1093:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1094:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1096:   flg = PETSC_FALSE;
1097:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1098:   if (flg) {
1099:     void *functx;
1100:     DM    dm;
1101:     PetscCall(SNESGetDM(snes, &dm));
1102:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1103:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1104:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1105:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1106:   }

1108:   flg = PETSC_FALSE;
1109:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1110:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1112:   flg = PETSC_FALSE;
1113:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1114:   if (flg) {
1115:     DM dm;
1116:     PetscCall(SNESGetDM(snes, &dm));
1117:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1118:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1119:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1120:   }

1122:   flg = PETSC_FALSE;
1123:   PetscCall(PetscOptionsBool("-snes_mf_operator", "Use a Matrix-Free Jacobian with user-provided preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf_operator, &flg));
1124:   if (flg && snes->mf_operator) {
1125:     snes->mf_operator = PETSC_TRUE;
1126:     snes->mf          = PETSC_TRUE;
1127:   }
1128:   flg = PETSC_FALSE;
1129:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1130:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1131:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1133:   flg = PETSC_FALSE;
1134:   PetscCall(SNESGetNPCSide(snes, &pcside));
1135:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1136:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1138: #if defined(PETSC_HAVE_SAWS)
1139:   /*
1140:     Publish convergence information using SAWs
1141:   */
1142:   flg = PETSC_FALSE;
1143:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1144:   if (flg) {
1145:     void *ctx;
1146:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1147:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1148:   }
1149: #endif
1150: #if defined(PETSC_HAVE_SAWS)
1151:   {
1152:     PetscBool set;
1153:     flg = PETSC_FALSE;
1154:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1155:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1156:   }
1157: #endif

1159:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1161:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1163:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1164:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1165:   PetscOptionsEnd();

1167:   if (snes->linesearch) {
1168:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1169:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1170:   }

1172:   if (snes->usesksp) {
1173:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1174:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1175:     PetscCall(KSPSetFromOptions(snes->ksp));
1176:   }

1178:   /* if user has set the SNES NPC type via options database, create it. */
1179:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1180:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1181:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1182:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1183:   snes->setfromoptionscalled++;
1184:   PetscFunctionReturn(PETSC_SUCCESS);
1185: }

1187: /*@
1188:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1190:   Collective

1192:   Input Parameter:
1193: . snes - the `SNES` context

1195:   Level: advanced

1197: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1198: @*/
1199: PetscErrorCode SNESResetFromOptions(SNES snes)
1200: {
1201:   PetscFunctionBegin;
1202:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1203:   PetscFunctionReturn(PETSC_SUCCESS);
1204: }

1206: /*@C
1207:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1208:   the nonlinear solvers.

1210:   Logically Collective; No Fortran Support

1212:   Input Parameters:
1213: + snes    - the `SNES` context
1214: . compute - function to compute the context
1215: - destroy - function to destroy the context

1217:   Calling sequence of `compute`:
1218: + snes - the `SNES` context
1219: - ctx  - context to be computed

1221:   Calling sequence of `destroy`:
1222: . ctx - context to be computed by `compute()`

1224:   Level: intermediate

1226:   Note:
1227:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1229:   Use `SNESSetApplicationContext()` to see the context immediately

1231: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`
1232: @*/
1233: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, void **ctx), PetscErrorCode (*destroy)(void **ctx))
1234: {
1235:   PetscFunctionBegin;
1237:   snes->ops->usercompute = compute;
1238:   snes->ops->userdestroy = destroy;
1239:   PetscFunctionReturn(PETSC_SUCCESS);
1240: }

1242: /*@
1243:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1245:   Logically Collective

1247:   Input Parameters:
1248: + snes - the `SNES` context
1249: - usrP - optional user context

1251:   Level: intermediate

1253:   Notes:
1254:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian, or other evaluation function
1255:   with `SNESGetApplicationContext()`

1257:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1259:   Fortran Note:
1260:   You must write a Fortran interface definition for this
1261:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1263: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1264: @*/
1265: PetscErrorCode SNESSetApplicationContext(SNES snes, void *usrP)
1266: {
1267:   KSP ksp;

1269:   PetscFunctionBegin;
1271:   PetscCall(SNESGetKSP(snes, &ksp));
1272:   PetscCall(KSPSetApplicationContext(ksp, usrP));
1273:   snes->user = usrP;
1274:   PetscFunctionReturn(PETSC_SUCCESS);
1275: }

1277: /*@
1278:   SNESGetApplicationContext - Gets the user-defined context for the
1279:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1281:   Not Collective

1283:   Input Parameter:
1284: . snes - `SNES` context

1286:   Output Parameter:
1287: . usrP - user context

1289:   Level: intermediate

1291:   Fortran Note:
1292:   You must write a Fortran interface definition for this
1293:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1295: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1296: @*/
1297: PetscErrorCode SNESGetApplicationContext(SNES snes, void *usrP)
1298: {
1299:   PetscFunctionBegin;
1301:   *(void **)usrP = snes->user;
1302:   PetscFunctionReturn(PETSC_SUCCESS);
1303: }

1305: /*@
1306:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1308:   Logically Collective

1310:   Input Parameters:
1311: + snes        - `SNES` context
1312: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1313: - 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
1314:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1316:   Options Database Keys:
1317: + -snes_mf_operator - use matrix-free only for the mat operator
1318: . -snes_mf          - use matrix-free for both the mat and pmat operator
1319: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1320: - -snes_fd          - compute the Jacobian via finite differences (slow)

1322:   Level: intermediate

1324:   Note:
1325:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1326:   and computing explicitly with
1327:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1329: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1330: @*/
1331: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1332: {
1333:   PetscFunctionBegin;
1337:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1338:   snes->mf_operator = mf_operator;
1339:   PetscFunctionReturn(PETSC_SUCCESS);
1340: }

1342: /*@
1343:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1345:   Not Collective, but the resulting flags will be the same on all MPI processes

1347:   Input Parameter:
1348: . snes - `SNES` context

1350:   Output Parameters:
1351: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1352: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1354:   Level: intermediate

1356: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1357: @*/
1358: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1359: {
1360:   PetscFunctionBegin;
1362:   if (mf) *mf = snes->mf;
1363:   if (mf_operator) *mf_operator = snes->mf_operator;
1364:   PetscFunctionReturn(PETSC_SUCCESS);
1365: }

1367: /*@
1368:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1370:   Not Collective

1372:   Input Parameter:
1373: . snes - `SNES` context

1375:   Output Parameter:
1376: . iter - iteration number

1378:   Level: intermediate

1380:   Notes:
1381:   For example, during the computation of iteration 2 this would return 1.

1383:   This is useful for using lagged Jacobians (where one does not recompute the
1384:   Jacobian at each `SNES` iteration). For example, the code
1385: .vb
1386:       ierr = SNESGetIterationNumber(snes,&it);
1387:       if (!(it % 2)) {
1388:         [compute Jacobian here]
1389:       }
1390: .ve
1391:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1392:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1394:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1396: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1397: @*/
1398: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1399: {
1400:   PetscFunctionBegin;
1402:   PetscAssertPointer(iter, 2);
1403:   *iter = snes->iter;
1404:   PetscFunctionReturn(PETSC_SUCCESS);
1405: }

1407: /*@
1408:   SNESSetIterationNumber - Sets the current iteration number.

1410:   Not Collective

1412:   Input Parameters:
1413: + snes - `SNES` context
1414: - iter - iteration number

1416:   Level: developer

1418:   Note:
1419:   This should only be called inside a `SNES` nonlinear solver.

1421: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1422: @*/
1423: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1424: {
1425:   PetscFunctionBegin;
1427:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1428:   snes->iter = iter;
1429:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1430:   PetscFunctionReturn(PETSC_SUCCESS);
1431: }

1433: /*@
1434:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1435:   attempted by the nonlinear solver in the current or most recent `SNESSolve()` .

1437:   Not Collective

1439:   Input Parameter:
1440: . snes - `SNES` context

1442:   Output Parameter:
1443: . nfails - number of unsuccessful steps attempted

1445:   Level: intermediate

1447:   Note:
1448:   This counter is reset to zero for each successive call to `SNESSolve()`.

1450: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1451:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1452: @*/
1453: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1454: {
1455:   PetscFunctionBegin;
1457:   PetscAssertPointer(nfails, 2);
1458:   *nfails = snes->numFailures;
1459:   PetscFunctionReturn(PETSC_SUCCESS);
1460: }

1462: /*@
1463:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1464:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1466:   Not Collective

1468:   Input Parameters:
1469: + snes     - `SNES` context
1470: - maxFails - maximum of unsuccessful steps

1472:   Options Database Key:
1473: . -snes_max_fail <n> - maximum number of unsuccessful steps allowed

1475:   Level: intermediate

1477:   Developer Note:
1478:   The options database key is wrong for this function name

1480: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1481:           `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1482: @*/
1483: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1484: {
1485:   PetscFunctionBegin;
1487:   snes->maxFailures = maxFails;
1488:   PetscFunctionReturn(PETSC_SUCCESS);
1489: }

1491: /*@
1492:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1493:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1495:   Not Collective

1497:   Input Parameter:
1498: . snes - `SNES` context

1500:   Output Parameter:
1501: . maxFails - maximum of unsuccessful steps

1503:   Level: intermediate

1505: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1506:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1507: @*/
1508: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1509: {
1510:   PetscFunctionBegin;
1512:   PetscAssertPointer(maxFails, 2);
1513:   *maxFails = snes->maxFailures;
1514:   PetscFunctionReturn(PETSC_SUCCESS);
1515: }

1517: /*@
1518:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1519:   done by the `SNES` object in the current or most recent `SNESSolve()`

1521:   Not Collective

1523:   Input Parameter:
1524: . snes - `SNES` context

1526:   Output Parameter:
1527: . nfuncs - number of evaluations

1529:   Level: intermediate

1531:   Note:
1532:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1534: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1535: @*/
1536: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1537: {
1538:   PetscFunctionBegin;
1540:   PetscAssertPointer(nfuncs, 2);
1541:   *nfuncs = snes->nfuncs;
1542:   PetscFunctionReturn(PETSC_SUCCESS);
1543: }

1545: /*@
1546:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1547:   linear solvers in the current or most recent `SNESSolve()`

1549:   Not Collective

1551:   Input Parameter:
1552: . snes - `SNES` context

1554:   Output Parameter:
1555: . nfails - number of failed solves

1557:   Options Database Key:
1558: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1560:   Level: intermediate

1562:   Note:
1563:   This counter is reset to zero for each successive call to `SNESSolve()`.

1565: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1566: @*/
1567: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1568: {
1569:   PetscFunctionBegin;
1571:   PetscAssertPointer(nfails, 2);
1572:   *nfails = snes->numLinearSolveFailures;
1573:   PetscFunctionReturn(PETSC_SUCCESS);
1574: }

1576: /*@
1577:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1578:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1580:   Logically Collective

1582:   Input Parameters:
1583: + snes     - `SNES` context
1584: - maxFails - maximum allowed linear solve failures

1586:   Options Database Key:
1587: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1589:   Level: intermediate

1591:   Note:
1592:   By default this is 0; that is `SNES` returns on the first failed linear solve

1594:   Developer Note:
1595:   The options database key is wrong for this function name

1597: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1598: @*/
1599: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1600: {
1601:   PetscFunctionBegin;
1604:   snes->maxLinearSolveFailures = maxFails;
1605:   PetscFunctionReturn(PETSC_SUCCESS);
1606: }

1608: /*@
1609:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1610:   are allowed before `SNES` returns as unsuccessful

1612:   Not Collective

1614:   Input Parameter:
1615: . snes - `SNES` context

1617:   Output Parameter:
1618: . maxFails - maximum of unsuccessful solves allowed

1620:   Level: intermediate

1622:   Note:
1623:   By default this is 1; that is `SNES` returns on the first failed linear solve

1625: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1626: @*/
1627: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1628: {
1629:   PetscFunctionBegin;
1631:   PetscAssertPointer(maxFails, 2);
1632:   *maxFails = snes->maxLinearSolveFailures;
1633:   PetscFunctionReturn(PETSC_SUCCESS);
1634: }

1636: /*@
1637:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1638:   used by the nonlinear solver in the most recent `SNESSolve()`

1640:   Not Collective

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

1645:   Output Parameter:
1646: . lits - number of linear iterations

1648:   Level: intermediate

1650:   Notes:
1651:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1653:   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
1654:   then call `KSPGetIterationNumber()` after the failed solve.

1656: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1657: @*/
1658: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1659: {
1660:   PetscFunctionBegin;
1662:   PetscAssertPointer(lits, 2);
1663:   *lits = snes->linear_its;
1664:   PetscFunctionReturn(PETSC_SUCCESS);
1665: }

1667: /*@
1668:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1669:   are reset every time `SNESSolve()` is called.

1671:   Logically Collective

1673:   Input Parameters:
1674: + snes  - `SNES` context
1675: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1677:   Level: developer

1679: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1680: @*/
1681: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1682: {
1683:   PetscFunctionBegin;
1686:   snes->counters_reset = reset;
1687:   PetscFunctionReturn(PETSC_SUCCESS);
1688: }

1690: /*@
1691:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1693:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1695:   Input Parameters:
1696: + snes - the `SNES` context
1697: - ksp  - the `KSP` context

1699:   Level: developer

1701:   Notes:
1702:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1703:   so this routine is rarely needed.

1705:   The `KSP` object that is already in the `SNES` object has its reference count
1706:   decreased by one when this is called.

1708: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1709: @*/
1710: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1711: {
1712:   PetscFunctionBegin;
1715:   PetscCheckSameComm(snes, 1, ksp, 2);
1716:   PetscCall(PetscObjectReference((PetscObject)ksp));
1717:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1718:   snes->ksp = ksp;
1719:   PetscFunctionReturn(PETSC_SUCCESS);
1720: }

1722: /*@
1723:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1725:   Collective

1727:   Input Parameter:
1728: . comm - MPI communicator

1730:   Output Parameter:
1731: . outsnes - the new `SNES` context

1733:   Options Database Keys:
1734: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no preconditioning matrix
1735: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided preconditioning matrix
1736:                       as set by `SNESSetJacobian()`
1737: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1738: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1740:   Level: beginner

1742:   Developer Notes:
1743:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1744:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1745:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1746:   in `SNESView()`.

1748:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1749:   by help messages about meaningless `SNES` options.

1751:   `SNES` always creates the snes->kspconvctx even though it is used by only one type. This should be fixed.

1753: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1754: @*/
1755: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1756: {
1757:   SNES       snes;
1758:   SNESKSPEW *kctx;

1760:   PetscFunctionBegin;
1761:   PetscAssertPointer(outsnes, 2);
1762:   *outsnes = NULL;
1763:   PetscCall(SNESInitializePackage());

1765:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));

1767:   snes->ops->converged       = SNESConvergedDefault;
1768:   snes->usesksp              = PETSC_TRUE;
1769:   snes->tolerancesset        = PETSC_FALSE;
1770:   snes->max_its              = 50;
1771:   snes->max_funcs            = 10000;
1772:   snes->norm                 = 0.0;
1773:   snes->xnorm                = 0.0;
1774:   snes->ynorm                = 0.0;
1775:   snes->normschedule         = SNES_NORM_ALWAYS;
1776:   snes->functype             = SNES_FUNCTION_DEFAULT;
1777:   snes->rtol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1778:   snes->ttol                 = 0.0;
1779:   snes->abstol               = PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50;
1780:   snes->stol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1781:   snes->deltatol             = PetscDefined(USE_REAL_SINGLE) ? 1.e-6 : 1.e-12;
1782:   snes->divtol               = 1.e4;
1783:   snes->rnorm0               = 0;
1784:   snes->nfuncs               = 0;
1785:   snes->numFailures          = 0;
1786:   snes->maxFailures          = 1;
1787:   snes->linear_its           = 0;
1788:   snes->lagjacobian          = 1;
1789:   snes->jac_iter             = 0;
1790:   snes->lagjac_persist       = PETSC_FALSE;
1791:   snes->lagpreconditioner    = 1;
1792:   snes->pre_iter             = 0;
1793:   snes->lagpre_persist       = PETSC_FALSE;
1794:   snes->numbermonitors       = 0;
1795:   snes->numberreasonviews    = 0;
1796:   snes->data                 = NULL;
1797:   snes->setupcalled          = PETSC_FALSE;
1798:   snes->ksp_ewconv           = PETSC_FALSE;
1799:   snes->nwork                = 0;
1800:   snes->work                 = NULL;
1801:   snes->nvwork               = 0;
1802:   snes->vwork                = NULL;
1803:   snes->conv_hist_len        = 0;
1804:   snes->conv_hist_max        = 0;
1805:   snes->conv_hist            = NULL;
1806:   snes->conv_hist_its        = NULL;
1807:   snes->conv_hist_reset      = PETSC_TRUE;
1808:   snes->counters_reset       = PETSC_TRUE;
1809:   snes->vec_func_init_set    = PETSC_FALSE;
1810:   snes->reason               = SNES_CONVERGED_ITERATING;
1811:   snes->npcside              = PC_RIGHT;
1812:   snes->setfromoptionscalled = 0;

1814:   snes->mf          = PETSC_FALSE;
1815:   snes->mf_operator = PETSC_FALSE;
1816:   snes->mf_version  = 1;

1818:   snes->numLinearSolveFailures = 0;
1819:   snes->maxLinearSolveFailures = 1;

1821:   snes->vizerotolerance     = 1.e-8;
1822:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1824:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1825:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1827:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1828:   PetscCall(PetscNew(&kctx));

1830:   snes->kspconvctx  = (void *)kctx;
1831:   kctx->version     = 2;
1832:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1833:                              this was too large for some test cases */
1834:   kctx->rtol_last   = 0.0;
1835:   kctx->rtol_max    = 0.9;
1836:   kctx->gamma       = 1.0;
1837:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1838:   kctx->alpha2      = kctx->alpha;
1839:   kctx->threshold   = 0.1;
1840:   kctx->lresid_last = 0.0;
1841:   kctx->norm_last   = 0.0;

1843:   kctx->rk_last     = 0.0;
1844:   kctx->rk_last_2   = 0.0;
1845:   kctx->rtol_last_2 = 0.0;
1846:   kctx->v4_p1       = 0.1;
1847:   kctx->v4_p2       = 0.4;
1848:   kctx->v4_p3       = 0.7;
1849:   kctx->v4_m1       = 0.8;
1850:   kctx->v4_m2       = 0.5;
1851:   kctx->v4_m3       = 0.1;
1852:   kctx->v4_m4       = 0.5;

1854:   *outsnes = snes;
1855:   PetscFunctionReturn(PETSC_SUCCESS);
1856: }

1858: /*@C
1859:   SNESSetFunction - Sets the function evaluation routine and function
1860:   vector for use by the `SNES` routines in solving systems of nonlinear
1861:   equations.

1863:   Logically Collective

1865:   Input Parameters:
1866: + snes - the `SNES` context
1867: . r    - vector to store function values, may be `NULL`
1868: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1869: - ctx  - [optional] user-defined context for private data for the
1870:          function evaluation routine (may be `NULL`)

1872:   Level: beginner

1874: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1875: @*/
1876: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, void *ctx)
1877: {
1878:   DM dm;

1880:   PetscFunctionBegin;
1882:   if (r) {
1884:     PetscCheckSameComm(snes, 1, r, 2);
1885:     PetscCall(PetscObjectReference((PetscObject)r));
1886:     PetscCall(VecDestroy(&snes->vec_func));
1887:     snes->vec_func = r;
1888:   }
1889:   PetscCall(SNESGetDM(snes, &dm));
1890:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1891:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1892:   PetscFunctionReturn(PETSC_SUCCESS);
1893: }

1895: /*@C
1896:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1898:   Logically Collective

1900:   Input Parameters:
1901: + snes - the `SNES` context
1902: - f    - vector to store function value

1904:   Level: developer

1906:   Notes:
1907:   This should not be modified during the solution procedure.

1909:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1911: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1912: @*/
1913: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1914: {
1915:   Vec vec_func;

1917:   PetscFunctionBegin;
1920:   PetscCheckSameComm(snes, 1, f, 2);
1921:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1922:     snes->vec_func_init_set = PETSC_FALSE;
1923:     PetscFunctionReturn(PETSC_SUCCESS);
1924:   }
1925:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
1926:   PetscCall(VecCopy(f, vec_func));

1928:   snes->vec_func_init_set = PETSC_TRUE;
1929:   PetscFunctionReturn(PETSC_SUCCESS);
1930: }

1932: /*@
1933:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
1934:   of the `SNES` method, when norms are computed in the solving process

1936:   Logically Collective

1938:   Input Parameters:
1939: + snes         - the `SNES` context
1940: - normschedule - the frequency of norm computation

1942:   Options Database Key:
1943: . -snes_norm_schedule <none, always, initialonly, finalonly, initialfinalonly> - set the schedule

1945:   Level: advanced

1947:   Notes:
1948:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
1949:   of the nonlinear function and the taking of its norm at every iteration to
1950:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
1951:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
1952:   may either be monitored for convergence or not.  As these are often used as nonlinear
1953:   preconditioners, monitoring the norm of their error is not a useful enterprise within
1954:   their solution.

1956: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
1957: @*/
1958: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
1959: {
1960:   PetscFunctionBegin;
1962:   snes->normschedule = normschedule;
1963:   PetscFunctionReturn(PETSC_SUCCESS);
1964: }

1966: /*@
1967:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
1968:   of the `SNES` method.

1970:   Logically Collective

1972:   Input Parameters:
1973: + snes         - the `SNES` context
1974: - normschedule - the type of the norm used

1976:   Level: advanced

1978: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
1979: @*/
1980: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
1981: {
1982:   PetscFunctionBegin;
1984:   *normschedule = snes->normschedule;
1985:   PetscFunctionReturn(PETSC_SUCCESS);
1986: }

1988: /*@
1989:   SNESSetFunctionNorm - Sets the last computed residual norm.

1991:   Logically Collective

1993:   Input Parameters:
1994: + snes - the `SNES` context
1995: - norm - the value of the norm

1997:   Level: developer

1999: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2000: @*/
2001: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
2002: {
2003:   PetscFunctionBegin;
2005:   snes->norm = norm;
2006:   PetscFunctionReturn(PETSC_SUCCESS);
2007: }

2009: /*@
2010:   SNESGetFunctionNorm - Gets the last computed norm of the residual

2012:   Not Collective

2014:   Input Parameter:
2015: . snes - the `SNES` context

2017:   Output Parameter:
2018: . norm - the last computed residual norm

2020:   Level: developer

2022: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2023: @*/
2024: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2025: {
2026:   PetscFunctionBegin;
2028:   PetscAssertPointer(norm, 2);
2029:   *norm = snes->norm;
2030:   PetscFunctionReturn(PETSC_SUCCESS);
2031: }

2033: /*@
2034:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2036:   Not Collective

2038:   Input Parameter:
2039: . snes - the `SNES` context

2041:   Output Parameter:
2042: . ynorm - the last computed update norm

2044:   Level: developer

2046:   Note:
2047:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2049: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2050: @*/
2051: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2052: {
2053:   PetscFunctionBegin;
2055:   PetscAssertPointer(ynorm, 2);
2056:   *ynorm = snes->ynorm;
2057:   PetscFunctionReturn(PETSC_SUCCESS);
2058: }

2060: /*@
2061:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2063:   Not Collective

2065:   Input Parameter:
2066: . snes - the `SNES` context

2068:   Output Parameter:
2069: . xnorm - the last computed solution norm

2071:   Level: developer

2073: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2074: @*/
2075: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2076: {
2077:   PetscFunctionBegin;
2079:   PetscAssertPointer(xnorm, 2);
2080:   *xnorm = snes->xnorm;
2081:   PetscFunctionReturn(PETSC_SUCCESS);
2082: }

2084: /*@C
2085:   SNESSetFunctionType - Sets the `SNESFunctionType`
2086:   of the `SNES` method.

2088:   Logically Collective

2090:   Input Parameters:
2091: + snes - the `SNES` context
2092: - type - the function type

2094:   Level: developer

2096:   Values of the function type\:
2097: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2098: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2099: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2101:   Note:
2102:   Different `SNESType`s use this value in different ways

2104: .seealso: [](ch_snes), `SNES`, `SNESFunctionType`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2105: @*/
2106: PetscErrorCode SNESSetFunctionType(SNES snes, SNESFunctionType type)
2107: {
2108:   PetscFunctionBegin;
2110:   snes->functype = type;
2111:   PetscFunctionReturn(PETSC_SUCCESS);
2112: }

2114: /*@C
2115:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2116:   of the SNES method.

2118:   Logically Collective

2120:   Input Parameters:
2121: + snes - the `SNES` context
2122: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2124:   Level: advanced

2126: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2127: @*/
2128: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2129: {
2130:   PetscFunctionBegin;
2132:   *type = snes->functype;
2133:   PetscFunctionReturn(PETSC_SUCCESS);
2134: }

2136: /*@C
2137:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2138:   use with composed nonlinear solvers.

2140:   Input Parameters:
2141: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2142: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2143: - ctx  - [optional] user-defined context for private data for the
2144:             smoother evaluation routine (may be `NULL`)

2146:   Level: intermediate

2148:   Note:
2149:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2150:   a problem appropriate update to the solution, particularly `SNESFAS`.

2152: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2153: @*/
2154: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, void *ctx)
2155: {
2156:   DM dm;

2158:   PetscFunctionBegin;
2160:   PetscCall(SNESGetDM(snes, &dm));
2161:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2162:   PetscFunctionReturn(PETSC_SUCCESS);
2163: }

2165: /*
2166:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2167:    changed during the KSPSolve()
2168: */
2169: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, void *ctx)
2170: {
2171:   DM     dm;
2172:   DMSNES sdm;

2174:   PetscFunctionBegin;
2175:   PetscCall(SNESGetDM(snes, &dm));
2176:   PetscCall(DMGetDMSNES(dm, &sdm));
2177:   /*  A(x)*x - b(x) */
2178:   if (sdm->ops->computepfunction) {
2179:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2180:     PetscCall(VecScale(f, -1.0));
2181:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2182:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2183:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2184:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2185:   } else {
2186:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2187:     PetscCall(MatMult(snes->picard, x, f));
2188:   }
2189:   PetscFunctionReturn(PETSC_SUCCESS);
2190: }

2192: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, void *ctx)
2193: {
2194:   DM     dm;
2195:   DMSNES sdm;

2197:   PetscFunctionBegin;
2198:   PetscCall(SNESGetDM(snes, &dm));
2199:   PetscCall(DMGetDMSNES(dm, &sdm));
2200:   /*  A(x)*x - b(x) */
2201:   if (sdm->ops->computepfunction) {
2202:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2203:     PetscCall(VecScale(f, -1.0));
2204:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2205:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2206:   } else {
2207:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2208:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2209:   }
2210:   PetscFunctionReturn(PETSC_SUCCESS);
2211: }

2213: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, void *ctx)
2214: {
2215:   PetscFunctionBegin;
2216:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2217:   /* must assembly if matrix-free to get the last SNES solution */
2218:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2219:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2220:   PetscFunctionReturn(PETSC_SUCCESS);
2221: }

2223: /*@C
2224:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2226:   Logically Collective

2228:   Input Parameters:
2229: + snes - the `SNES` context
2230: . r    - vector to store function values, may be `NULL`
2231: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2232: . Amat - matrix with which A(x) x - bp(x) - b is to be computed
2233: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2234: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2235: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2237:   Level: intermediate

2239:   Notes:
2240:   It is often better to provide the nonlinear function F() and some approximation to its Jacobian directly and use
2241:   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.

2243:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2245:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2246:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2248:   Run with `-snes_mf_operator` to solve the system with Newton's method using A(x^{n}) to construct the preconditioner.

2250:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2251:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2253:   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
2254:   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
2255:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2257:   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
2258:   A(x^{n}) is used to build the preconditioner

2260:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2262:   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
2263:   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
2264:   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`.
2265:   See the comment in src/snes/tutorials/ex15.c.

2267: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2268:           `SNESFunctionFn`, `SNESJacobianFn`
2269: @*/
2270: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
2271: {
2272:   DM dm;

2274:   PetscFunctionBegin;
2276:   PetscCall(SNESGetDM(snes, &dm));
2277:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2278:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2279:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2280:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2281:   PetscFunctionReturn(PETSC_SUCCESS);
2282: }

2284: /*@C
2285:   SNESGetPicard - Returns the context for the Picard iteration

2287:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2289:   Input Parameter:
2290: . snes - the `SNES` context

2292:   Output Parameters:
2293: + r    - the function (or `NULL`)
2294: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2295: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2296: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2297: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2298: - ctx  - the function context (or `NULL`)

2300:   Level: advanced

2302: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2303: @*/
2304: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
2305: {
2306:   DM dm;

2308:   PetscFunctionBegin;
2310:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2311:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2312:   PetscCall(SNESGetDM(snes, &dm));
2313:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2314:   PetscFunctionReturn(PETSC_SUCCESS);
2315: }

2317: /*@C
2318:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2320:   Logically Collective

2322:   Input Parameters:
2323: + snes - the `SNES` context
2324: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2325: - ctx  - [optional] user-defined context for private data for the
2326:          function evaluation routine (may be `NULL`)

2328:   Level: intermediate

2330: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2331: @*/
2332: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, void *ctx)
2333: {
2334:   PetscFunctionBegin;
2336:   if (func) snes->ops->computeinitialguess = func;
2337:   if (ctx) snes->initialguessP = ctx;
2338:   PetscFunctionReturn(PETSC_SUCCESS);
2339: }

2341: /*@C
2342:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2343:   it assumes a zero right-hand side.

2345:   Logically Collective

2347:   Input Parameter:
2348: . snes - the `SNES` context

2350:   Output Parameter:
2351: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2353:   Level: intermediate

2355: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2356: @*/
2357: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2358: {
2359:   PetscFunctionBegin;
2361:   PetscAssertPointer(rhs, 2);
2362:   *rhs = snes->vec_rhs;
2363:   PetscFunctionReturn(PETSC_SUCCESS);
2364: }

2366: /*@
2367:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2369:   Collective

2371:   Input Parameters:
2372: + snes - the `SNES` context
2373: - x    - input vector

2375:   Output Parameter:
2376: . y - function vector, as set by `SNESSetFunction()`

2378:   Level: developer

2380:   Notes:
2381:   `SNESComputeFunction()` is typically used within nonlinear solvers
2382:   implementations, so users would not generally call this routine themselves.

2384:   When solving for $F(x) = b$, this routine computes $y = F(x) - b$.

2386: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`
2387: @*/
2388: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec y)
2389: {
2390:   DM     dm;
2391:   DMSNES sdm;

2393:   PetscFunctionBegin;
2397:   PetscCheckSameComm(snes, 1, x, 2);
2398:   PetscCheckSameComm(snes, 1, y, 3);
2399:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2401:   PetscCall(SNESGetDM(snes, &dm));
2402:   PetscCall(DMGetDMSNES(dm, &sdm));
2403:   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().");
2404:   if (sdm->ops->computefunction) {
2405:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2406:     PetscCall(VecLockReadPush(x));
2407:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2408:     snes->domainerror = PETSC_FALSE;
2409:     {
2410:       void           *ctx;
2411:       SNESFunctionFn *computefunction;
2412:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2413:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, y, ctx));
2414:     }
2415:     PetscCall(VecLockReadPop(x));
2416:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2417:   } else /* if (snes->vec_rhs) */ {
2418:     PetscCall(MatMult(snes->jacobian, x, y));
2419:   }
2420:   if (snes->vec_rhs) PetscCall(VecAXPY(y, -1.0, snes->vec_rhs));
2421:   snes->nfuncs++;
2422:   /*
2423:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2424:      propagate the value to all processes
2425:   */
2426:   if (snes->domainerror) PetscCall(VecSetInf(y));
2427:   PetscFunctionReturn(PETSC_SUCCESS);
2428: }

2430: /*@
2431:   SNESComputeMFFunction - Calls the function that has been set with `SNESSetMFFunction()`.

2433:   Collective

2435:   Input Parameters:
2436: + snes - the `SNES` context
2437: - x    - input vector

2439:   Output Parameter:
2440: . y - function vector, as set by `SNESSetMFFunction()`

2442:   Level: developer

2444:   Notes:
2445:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2446:   so users would not generally call this routine themselves.

2448:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2449:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2450:   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.

2452: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF`
2453: @*/
2454: PetscErrorCode SNESComputeMFFunction(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:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2470:   PetscCall(VecLockReadPush(x));
2471:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2472:   snes->domainerror = PETSC_FALSE;
2473:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2474:   PetscCall(VecLockReadPop(x));
2475:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2476:   snes->nfuncs++;
2477:   /*
2478:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2479:      propagate the value to all processes
2480:   */
2481:   if (snes->domainerror) PetscCall(VecSetInf(y));
2482:   PetscFunctionReturn(PETSC_SUCCESS);
2483: }

2485: /*@
2486:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2488:   Collective

2490:   Input Parameters:
2491: + snes - the `SNES` context
2492: . x    - input vector
2493: - b    - rhs vector

2495:   Output Parameter:
2496: . x - new solution vector

2498:   Level: developer

2500:   Note:
2501:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2502:   implementations, so most users would not generally call this routine
2503:   themselves.

2505: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2506: @*/
2507: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2508: {
2509:   DM     dm;
2510:   DMSNES sdm;

2512:   PetscFunctionBegin;
2516:   PetscCheckSameComm(snes, 1, x, 3);
2517:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2518:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2519:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2520:   PetscCall(SNESGetDM(snes, &dm));
2521:   PetscCall(DMGetDMSNES(dm, &sdm));
2522:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2523:   if (b) PetscCall(VecLockReadPush(b));
2524:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2525:   if (b) PetscCall(VecLockReadPop(b));
2526:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2527:   PetscFunctionReturn(PETSC_SUCCESS);
2528: }

2530: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2531: {
2532:   Vec          X;
2533:   PetscScalar *g;
2534:   PetscReal    f, f2;
2535:   PetscInt     low, high, N, i;
2536:   PetscBool    flg;
2537:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2539:   PetscFunctionBegin;
2540:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2541:   PetscCall(VecDuplicate(Xin, &X));
2542:   PetscCall(VecCopy(Xin, X));
2543:   PetscCall(VecGetSize(X, &N));
2544:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2545:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2546:   PetscCall(VecGetArray(G, &g));
2547:   for (i = 0; i < N; i++) {
2548:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2549:     PetscCall(VecAssemblyBegin(X));
2550:     PetscCall(VecAssemblyEnd(X));
2551:     PetscCall(SNESComputeObjective(snes, X, &f));
2552:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2553:     PetscCall(VecAssemblyBegin(X));
2554:     PetscCall(VecAssemblyEnd(X));
2555:     PetscCall(SNESComputeObjective(snes, X, &f2));
2556:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2557:     PetscCall(VecAssemblyBegin(X));
2558:     PetscCall(VecAssemblyEnd(X));
2559:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2560:   }
2561:   PetscCall(VecRestoreArray(G, &g));
2562:   PetscCall(VecDestroy(&X));
2563:   PetscFunctionReturn(PETSC_SUCCESS);
2564: }

2566: PetscErrorCode SNESTestFunction(SNES snes)
2567: {
2568:   Vec               x, g1, g2, g3;
2569:   PetscBool         complete_print = PETSC_FALSE, test = PETSC_FALSE;
2570:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2571:   PetscScalar       dot;
2572:   MPI_Comm          comm;
2573:   PetscViewer       viewer, mviewer;
2574:   PetscViewerFormat format;
2575:   PetscInt          tabs;
2576:   static PetscBool  directionsprinted = PETSC_FALSE;
2577:   SNESObjectiveFn  *objective;

2579:   PetscFunctionBegin;
2580:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2581:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2583:   PetscObjectOptionsBegin((PetscObject)snes);
2584:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference function", "None", &test));
2585:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2586:   PetscOptionsEnd();
2587:   if (!test) {
2588:     if (complete_print) PetscCall(PetscViewerDestroy(&mviewer));
2589:     PetscFunctionReturn(PETSC_SUCCESS);
2590:   }

2592:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2593:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2594:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2595:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2596:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2597:   if (!complete_print && !directionsprinted) {
2598:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2599:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2600:   }
2601:   if (!directionsprinted) {
2602:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2603:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2604:     directionsprinted = PETSC_TRUE;
2605:   }
2606:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2608:   PetscCall(SNESGetSolution(snes, &x));
2609:   PetscCall(VecDuplicate(x, &g1));
2610:   PetscCall(VecDuplicate(x, &g2));
2611:   PetscCall(VecDuplicate(x, &g3));
2612:   PetscCall(SNESComputeFunction(snes, x, g1));
2613:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2615:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2616:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2617:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2618:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2619:   PetscCall(VecDot(g1, g2, &dot));
2620:   PetscCall(VecCopy(g1, g3));
2621:   PetscCall(VecAXPY(g3, -1.0, g2));
2622:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2623:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2624:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2625:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2626:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2628:   if (complete_print) {
2629:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2630:     PetscCall(VecView(g1, mviewer));
2631:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2632:     PetscCall(VecView(g2, mviewer));
2633:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2634:     PetscCall(VecView(g3, mviewer));
2635:   }
2636:   PetscCall(VecDestroy(&g1));
2637:   PetscCall(VecDestroy(&g2));
2638:   PetscCall(VecDestroy(&g3));

2640:   if (complete_print) {
2641:     PetscCall(PetscViewerPopFormat(mviewer));
2642:     PetscCall(PetscViewerDestroy(&mviewer));
2643:   }
2644:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2645:   PetscFunctionReturn(PETSC_SUCCESS);
2646: }

2648: PetscErrorCode SNESTestJacobian(SNES snes)
2649: {
2650:   Mat               A, B, C, D, jacobian;
2651:   Vec               x = snes->vec_sol, f;
2652:   PetscReal         nrm, gnorm;
2653:   PetscReal         threshold = 1.e-5;
2654:   MatType           mattype;
2655:   PetscInt          m, n, M, N;
2656:   void             *functx;
2657:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, test = PETSC_FALSE, flg, istranspose;
2658:   PetscViewer       viewer, mviewer;
2659:   MPI_Comm          comm;
2660:   PetscInt          tabs;
2661:   static PetscBool  directionsprinted = PETSC_FALSE;
2662:   PetscViewerFormat format;

2664:   PetscFunctionBegin;
2665:   PetscObjectOptionsBegin((PetscObject)snes);
2666:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &test));
2667:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2668:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2669:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2670:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2671:   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));
2672:   PetscOptionsEnd();
2673:   if (!test) PetscFunctionReturn(PETSC_SUCCESS);

2675:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2676:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2677:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2678:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2679:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2680:   if (!complete_print && !directionsprinted) {
2681:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2682:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2683:   }
2684:   if (!directionsprinted) {
2685:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2686:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2687:     directionsprinted = PETSC_TRUE;
2688:   }
2689:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2691:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2692:   if (!flg) jacobian = snes->jacobian;
2693:   else jacobian = snes->jacobian_pre;

2695:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2696:   else PetscCall(PetscObjectReference((PetscObject)x));
2697:   PetscCall(VecDuplicate(x, &f));

2699:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2700:   PetscCall(SNESComputeFunction(snes, x, f));
2701:   PetscCall(VecDestroy(&f));
2702:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2703:   while (jacobian) {
2704:     Mat JT = NULL, Jsave = NULL;

2706:     if (istranspose) {
2707:       PetscCall(MatCreateTranspose(jacobian, &JT));
2708:       Jsave    = jacobian;
2709:       jacobian = JT;
2710:     }
2711:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2712:     if (flg) {
2713:       A = jacobian;
2714:       PetscCall(PetscObjectReference((PetscObject)A));
2715:     } else {
2716:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2717:     }

2719:     PetscCall(MatGetType(A, &mattype));
2720:     PetscCall(MatGetSize(A, &M, &N));
2721:     PetscCall(MatGetLocalSize(A, &m, &n));
2722:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2723:     PetscCall(MatSetType(B, mattype));
2724:     PetscCall(MatSetSizes(B, m, n, M, N));
2725:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2726:     PetscCall(MatSetUp(B));
2727:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2729:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2730:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2732:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2733:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2734:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2735:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2736:     PetscCall(MatDestroy(&D));
2737:     if (!gnorm) gnorm = 1; /* just in case */
2738:     PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));

2740:     if (complete_print) {
2741:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2742:       PetscCall(MatView(A, mviewer));
2743:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2744:       PetscCall(MatView(B, mviewer));
2745:     }

2747:     if (threshold_print || complete_print) {
2748:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2749:       PetscScalar       *cvals;
2750:       const PetscInt    *bcols;
2751:       const PetscScalar *bvals;

2753:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2754:       PetscCall(MatSetType(C, mattype));
2755:       PetscCall(MatSetSizes(C, m, n, M, N));
2756:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2757:       PetscCall(MatSetUp(C));
2758:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2760:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2761:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2763:       for (row = Istart; row < Iend; row++) {
2764:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2765:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2766:         for (j = 0, cncols = 0; j < bncols; j++) {
2767:           if (PetscAbsScalar(bvals[j]) > threshold) {
2768:             ccols[cncols] = bcols[j];
2769:             cvals[cncols] = bvals[j];
2770:             cncols += 1;
2771:           }
2772:         }
2773:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2774:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2775:         PetscCall(PetscFree2(ccols, cvals));
2776:       }
2777:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2778:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2779:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2780:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2781:       PetscCall(MatDestroy(&C));
2782:     }
2783:     PetscCall(MatDestroy(&A));
2784:     PetscCall(MatDestroy(&B));
2785:     PetscCall(MatDestroy(&JT));
2786:     if (Jsave) jacobian = Jsave;
2787:     if (jacobian != snes->jacobian_pre) {
2788:       jacobian = snes->jacobian_pre;
2789:       PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2790:     } else jacobian = NULL;
2791:   }
2792:   PetscCall(VecDestroy(&x));
2793:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2794:   if (mviewer) PetscCall(PetscOptionsRestoreViewer(&mviewer));
2795:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2796:   PetscFunctionReturn(PETSC_SUCCESS);
2797: }

2799: /*@
2800:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2802:   Collective

2804:   Input Parameters:
2805: + snes - the `SNES` context
2806: - X    - input vector

2808:   Output Parameters:
2809: + A - Jacobian matrix
2810: - B - optional matrix for building the preconditioner, usually the same as `A`

2812:   Options Database Keys:
2813: + -snes_lag_preconditioner <lag>           - how often to rebuild preconditioner
2814: . -snes_lag_jacobian <lag>                 - how often to rebuild Jacobian
2815: . -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.
2816: . -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
2817: . -snes_compare_explicit                   - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2818: . -snes_compare_explicit_draw              - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2819: . -snes_compare_explicit_contour           - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2820: . -snes_compare_operator                   - Make the comparison options above use the operator instead of the preconditioning matrix
2821: . -snes_compare_coloring                   - Compute the finite difference Jacobian using coloring and display norms of difference
2822: . -snes_compare_coloring_display           - Compute the finite difference Jacobian using coloring and display verbose differences
2823: . -snes_compare_coloring_threshold         - Display only those matrix entries that differ by more than a given threshold
2824: . -snes_compare_coloring_threshold_atol    - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2825: . -snes_compare_coloring_threshold_rtol    - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2826: . -snes_compare_coloring_draw              - Compute the finite difference Jacobian using coloring and draw differences
2827: - -snes_compare_coloring_draw_contour      - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2829:   Level: developer

2831:   Note:
2832:   Most users should not need to explicitly call this routine, as it
2833:   is used internally within the nonlinear solvers.

2835:   Developer Note:
2836:   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
2837:   with the `SNESType` of test that has been removed.

2839: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
2840: @*/
2841: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2842: {
2843:   PetscBool flag;
2844:   DM        dm;
2845:   DMSNES    sdm;
2846:   KSP       ksp;

2848:   PetscFunctionBegin;
2851:   PetscCheckSameComm(snes, 1, X, 2);
2852:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2853:   PetscCall(SNESGetDM(snes, &dm));
2854:   PetscCall(DMGetDMSNES(dm, &sdm));

2856:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2857:   if (snes->lagjacobian == -2) {
2858:     snes->lagjacobian = -1;

2860:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2861:   } else if (snes->lagjacobian == -1) {
2862:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2863:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2864:     if (flag) {
2865:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2866:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2867:     }
2868:     PetscFunctionReturn(PETSC_SUCCESS);
2869:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2870:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2871:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2872:     if (flag) {
2873:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2874:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2875:     }
2876:     PetscFunctionReturn(PETSC_SUCCESS);
2877:   }
2878:   if (snes->npc && snes->npcside == PC_LEFT) {
2879:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2880:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2881:     PetscFunctionReturn(PETSC_SUCCESS);
2882:   }

2884:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2885:   PetscCall(VecLockReadPush(X));
2886:   {
2887:     void           *ctx;
2888:     SNESJacobianFn *J;
2889:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
2890:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
2891:   }
2892:   PetscCall(VecLockReadPop(X));
2893:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

2895:   /* attach latest linearization point to the preconditioning matrix */
2896:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

2898:   /* the next line ensures that snes->ksp exists */
2899:   PetscCall(SNESGetKSP(snes, &ksp));
2900:   if (snes->lagpreconditioner == -2) {
2901:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
2902:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2903:     snes->lagpreconditioner = -1;
2904:   } else if (snes->lagpreconditioner == -1) {
2905:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
2906:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2907:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
2908:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
2909:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2910:   } else {
2911:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
2912:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2913:   }

2915:   /* monkey business to allow testing Jacobians in multilevel solvers.
2916:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
2917:   {
2918:     Vec xsave            = snes->vec_sol;
2919:     Mat jacobiansave     = snes->jacobian;
2920:     Mat jacobian_presave = snes->jacobian_pre;

2922:     snes->vec_sol      = X;
2923:     snes->jacobian     = A;
2924:     snes->jacobian_pre = B;
2925:     PetscCall(SNESTestFunction(snes));
2926:     PetscCall(SNESTestJacobian(snes));

2928:     snes->vec_sol      = xsave;
2929:     snes->jacobian     = jacobiansave;
2930:     snes->jacobian_pre = jacobian_presave;
2931:   }

2933:   {
2934:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
2935:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
2936:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
2937:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
2938:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
2939:     if (flag || flag_draw || flag_contour) {
2940:       Mat         Bexp_mine = NULL, Bexp, FDexp;
2941:       PetscViewer vdraw, vstdout;
2942:       PetscBool   flg;
2943:       if (flag_operator) {
2944:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
2945:         Bexp = Bexp_mine;
2946:       } else {
2947:         /* See if the preconditioning matrix can be viewed and added directly */
2948:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPIBAIJ, ""));
2949:         if (flg) Bexp = B;
2950:         else {
2951:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
2952:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
2953:           Bexp = Bexp_mine;
2954:         }
2955:       }
2956:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
2957:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
2958:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
2959:       if (flag_draw || flag_contour) {
2960:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
2961:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2962:       } else vdraw = NULL;
2963:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
2964:       if (flag) PetscCall(MatView(Bexp, vstdout));
2965:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
2966:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
2967:       if (flag) PetscCall(MatView(FDexp, vstdout));
2968:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
2969:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
2970:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
2971:       if (flag) PetscCall(MatView(FDexp, vstdout));
2972:       if (vdraw) { /* Always use contour for the difference */
2973:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2974:         PetscCall(MatView(FDexp, vdraw));
2975:         PetscCall(PetscViewerPopFormat(vdraw));
2976:       }
2977:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
2978:       PetscCall(PetscViewerDestroy(&vdraw));
2979:       PetscCall(MatDestroy(&Bexp_mine));
2980:       PetscCall(MatDestroy(&FDexp));
2981:     }
2982:   }
2983:   {
2984:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
2985:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
2986:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
2987:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
2988:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
2989:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
2990:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
2991:     if (flag_threshold) {
2992:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
2993:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
2994:     }
2995:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
2996:       Mat             Bfd;
2997:       PetscViewer     vdraw, vstdout;
2998:       MatColoring     coloring;
2999:       ISColoring      iscoloring;
3000:       MatFDColoring   matfdcoloring;
3001:       SNESFunctionFn *func;
3002:       void           *funcctx;
3003:       PetscReal       norm1, norm2, normmax;

3005:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
3006:       PetscCall(MatColoringCreate(Bfd, &coloring));
3007:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
3008:       PetscCall(MatColoringSetFromOptions(coloring));
3009:       PetscCall(MatColoringApply(coloring, &iscoloring));
3010:       PetscCall(MatColoringDestroy(&coloring));
3011:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
3012:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3013:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
3014:       PetscCall(ISColoringDestroy(&iscoloring));

3016:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3017:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3018:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (PetscErrorCode(*)(void))func, funcctx));
3019:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3020:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3021:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3022:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3023:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3025:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3026:       if (flag_draw || flag_contour) {
3027:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3028:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3029:       } else vdraw = NULL;
3030:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3031:       if (flag_display) PetscCall(MatView(B, vstdout));
3032:       if (vdraw) PetscCall(MatView(B, vdraw));
3033:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3034:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3035:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3036:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3037:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3038:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3039:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3040:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3041:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3042:       if (vdraw) { /* Always use contour for the difference */
3043:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3044:         PetscCall(MatView(Bfd, vdraw));
3045:         PetscCall(PetscViewerPopFormat(vdraw));
3046:       }
3047:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3049:       if (flag_threshold) {
3050:         PetscInt bs, rstart, rend, i;
3051:         PetscCall(MatGetBlockSize(B, &bs));
3052:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3053:         for (i = rstart; i < rend; i++) {
3054:           const PetscScalar *ba, *ca;
3055:           const PetscInt    *bj, *cj;
3056:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3057:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3058:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3059:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3060:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3061:           for (j = 0; j < bn; j++) {
3062:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3063:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3064:               maxentrycol = bj[j];
3065:               maxentry    = PetscRealPart(ba[j]);
3066:             }
3067:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3068:               maxdiffcol = bj[j];
3069:               maxdiff    = PetscRealPart(ca[j]);
3070:             }
3071:             if (rdiff > maxrdiff) {
3072:               maxrdiffcol = bj[j];
3073:               maxrdiff    = rdiff;
3074:             }
3075:           }
3076:           if (maxrdiff > 1) {
3077:             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));
3078:             for (j = 0; j < bn; j++) {
3079:               PetscReal rdiff;
3080:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3081:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3082:             }
3083:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3084:           }
3085:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3086:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3087:         }
3088:       }
3089:       PetscCall(PetscViewerDestroy(&vdraw));
3090:       PetscCall(MatDestroy(&Bfd));
3091:     }
3092:   }
3093:   PetscFunctionReturn(PETSC_SUCCESS);
3094: }

3096: /*@C
3097:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3098:   location to store the matrix.

3100:   Logically Collective

3102:   Input Parameters:
3103: + snes - the `SNES` context
3104: . Amat - the matrix that defines the (approximate) Jacobian
3105: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3106: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3107: - ctx  - [optional] user-defined context for private data for the
3108:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3110:   Level: beginner

3112:   Notes:
3113:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3114:   each matrix.

3116:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3117:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3119:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3120:   must be a `MatFDColoring`.

3122:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3123:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3125: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3126:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3127: @*/
3128: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
3129: {
3130:   DM dm;

3132:   PetscFunctionBegin;
3136:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3137:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3138:   PetscCall(SNESGetDM(snes, &dm));
3139:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3140:   if (Amat) {
3141:     PetscCall(PetscObjectReference((PetscObject)Amat));
3142:     PetscCall(MatDestroy(&snes->jacobian));

3144:     snes->jacobian = Amat;
3145:   }
3146:   if (Pmat) {
3147:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3148:     PetscCall(MatDestroy(&snes->jacobian_pre));

3150:     snes->jacobian_pre = Pmat;
3151:   }
3152:   PetscFunctionReturn(PETSC_SUCCESS);
3153: }

3155: /*@C
3156:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3157:   provided context for evaluating the Jacobian.

3159:   Not Collective, but `Mat` object will be parallel if `SNES` is

3161:   Input Parameter:
3162: . snes - the nonlinear solver context

3164:   Output Parameters:
3165: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3166: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3167: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3168: - ctx  - location to stash Jacobian ctx (or `NULL`)

3170:   Level: advanced

3172: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3173: @*/
3174: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
3175: {
3176:   DM dm;

3178:   PetscFunctionBegin;
3180:   if (Amat) *Amat = snes->jacobian;
3181:   if (Pmat) *Pmat = snes->jacobian_pre;
3182:   PetscCall(SNESGetDM(snes, &dm));
3183:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3184:   PetscFunctionReturn(PETSC_SUCCESS);
3185: }

3187: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3188: {
3189:   DM     dm;
3190:   DMSNES sdm;

3192:   PetscFunctionBegin;
3193:   PetscCall(SNESGetDM(snes, &dm));
3194:   PetscCall(DMGetDMSNES(dm, &sdm));
3195:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3196:     DM        dm;
3197:     PetscBool isdense, ismf;

3199:     PetscCall(SNESGetDM(snes, &dm));
3200:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3201:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3202:     if (isdense) {
3203:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3204:     } else if (!ismf) {
3205:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3206:     }
3207:   }
3208:   PetscFunctionReturn(PETSC_SUCCESS);
3209: }

3211: /*@
3212:   SNESSetUp - Sets up the internal data structures for the later use
3213:   of a nonlinear solver.

3215:   Collective

3217:   Input Parameter:
3218: . snes - the `SNES` context

3220:   Level: advanced

3222:   Note:
3223:   For basic use of the `SNES` solvers the user need not explicitly call
3224:   `SNESSetUp()`, since these actions will automatically occur during
3225:   the call to `SNESSolve()`.  However, if one wishes to control this
3226:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3227:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3229: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`
3230: @*/
3231: PetscErrorCode SNESSetUp(SNES snes)
3232: {
3233:   DM             dm;
3234:   DMSNES         sdm;
3235:   SNESLineSearch linesearch, pclinesearch;
3236:   void          *lsprectx, *lspostctx;
3237:   PetscBool      mf_operator, mf;
3238:   Vec            f, fpc;
3239:   void          *funcctx;
3240:   void          *jacctx, *appctx;
3241:   Mat            j, jpre;
3242:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3243:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3244:   SNESFunctionFn *func;
3245:   SNESJacobianFn *jac;

3247:   PetscFunctionBegin;
3249:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3250:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3252:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3254:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3256:   PetscCall(SNESGetDM(snes, &dm));
3257:   PetscCall(DMGetDMSNES(dm, &sdm));
3258:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3260:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3262:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3264:   if (snes->linesearch) {
3265:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3266:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3267:   }

3269:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3270:   if (snes->npc && snes->npcside == PC_LEFT) {
3271:     snes->mf          = PETSC_TRUE;
3272:     snes->mf_operator = PETSC_FALSE;
3273:   }

3275:   if (snes->npc) {
3276:     /* copy the DM over */
3277:     PetscCall(SNESGetDM(snes, &dm));
3278:     PetscCall(SNESSetDM(snes->npc, dm));

3280:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3281:     PetscCall(VecDuplicate(f, &fpc));
3282:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3283:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3284:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3285:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3286:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3287:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3288:     PetscCall(VecDestroy(&fpc));

3290:     /* copy the function pointers over */
3291:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3293:     /* default to 1 iteration */
3294:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3295:     if (snes->npcside == PC_RIGHT) {
3296:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3297:     } else {
3298:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3299:     }
3300:     PetscCall(SNESSetFromOptions(snes->npc));

3302:     /* copy the line search context over */
3303:     if (snes->linesearch && snes->npc->linesearch) {
3304:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3305:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3306:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3307:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3308:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3309:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3310:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3311:     }
3312:   }
3313:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3314:   if (snes->ops->usercompute && !snes->user) PetscCallBack("SNES callback compute application context", (*snes->ops->usercompute)(snes, (void **)&snes->user));

3316:   snes->jac_iter = 0;
3317:   snes->pre_iter = 0;

3319:   PetscTryTypeMethod(snes, setup);

3321:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3323:   if (snes->npc && snes->npcside == PC_LEFT) {
3324:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3325:       if (snes->linesearch) {
3326:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3327:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3328:       }
3329:     }
3330:   }
3331:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3332:   snes->setupcalled = PETSC_TRUE;
3333:   PetscFunctionReturn(PETSC_SUCCESS);
3334: }

3336: /*@
3337:   SNESReset - Resets a `SNES` context to the snessetupcalled = 0 state and removes any allocated `Vec`s and `Mat`s

3339:   Collective

3341:   Input Parameter:
3342: . snes - iterative context obtained from `SNESCreate()`

3344:   Level: intermediate

3346:   Notes:
3347:   Call this if you wish to reuse a `SNES` but with different size vectors

3349:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3351: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3352: @*/
3353: PetscErrorCode SNESReset(SNES snes)
3354: {
3355:   PetscFunctionBegin;
3357:   if (snes->ops->userdestroy && snes->user) {
3358:     PetscCallBack("SNES callback destroy application context", (*snes->ops->userdestroy)((void **)&snes->user));
3359:     snes->user = NULL;
3360:   }
3361:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3363:   PetscTryTypeMethod(snes, reset);
3364:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3366:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3368:   PetscCall(VecDestroy(&snes->vec_rhs));
3369:   PetscCall(VecDestroy(&snes->vec_sol));
3370:   PetscCall(VecDestroy(&snes->vec_sol_update));
3371:   PetscCall(VecDestroy(&snes->vec_func));
3372:   PetscCall(MatDestroy(&snes->jacobian));
3373:   PetscCall(MatDestroy(&snes->jacobian_pre));
3374:   PetscCall(MatDestroy(&snes->picard));
3375:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3376:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3378:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3380:   snes->nwork = snes->nvwork = 0;
3381:   snes->setupcalled          = PETSC_FALSE;
3382:   PetscFunctionReturn(PETSC_SUCCESS);
3383: }

3385: /*@
3386:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()`

3388:   Collective

3390:   Input Parameter:
3391: . snes - iterative context obtained from `SNESCreate()`

3393:   Level: intermediate

3395: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3396: @*/
3397: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3398: {
3399:   PetscInt i;

3401:   PetscFunctionBegin;
3403:   for (i = 0; i < snes->numberreasonviews; i++) {
3404:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3405:   }
3406:   snes->numberreasonviews = 0;
3407:   PetscFunctionReturn(PETSC_SUCCESS);
3408: }

3410: /*@C
3411:   SNESDestroy - Destroys the nonlinear solver context that was created
3412:   with `SNESCreate()`.

3414:   Collective

3416:   Input Parameter:
3417: . snes - the `SNES` context

3419:   Level: beginner

3421: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3422: @*/
3423: PetscErrorCode SNESDestroy(SNES *snes)
3424: {
3425:   PetscFunctionBegin;
3426:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3428:   if (--((PetscObject)*snes)->refct > 0) {
3429:     *snes = NULL;
3430:     PetscFunctionReturn(PETSC_SUCCESS);
3431:   }

3433:   PetscCall(SNESReset(*snes));
3434:   PetscCall(SNESDestroy(&(*snes)->npc));

3436:   /* if memory was published with SAWs then destroy it */
3437:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3438:   PetscTryTypeMethod(*snes, destroy);

3440:   if ((*snes)->dm) PetscCall(DMCoarsenHookRemove((*snes)->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3441:   PetscCall(DMDestroy(&(*snes)->dm));
3442:   PetscCall(KSPDestroy(&(*snes)->ksp));
3443:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3445:   PetscCall(PetscFree((*snes)->kspconvctx));
3446:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)((*snes)->cnvP));
3447:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3448:   PetscCall(SNESMonitorCancel(*snes));
3449:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3450:   PetscCall(PetscHeaderDestroy(snes));
3451:   PetscFunctionReturn(PETSC_SUCCESS);
3452: }

3454: /* ----------- Routines to set solver parameters ---------- */

3456: /*@
3457:   SNESSetLagPreconditioner - Determines when the preconditioner is rebuilt in the nonlinear solve.

3459:   Logically Collective

3461:   Input Parameters:
3462: + snes - the `SNES` context
3463: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3464:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3466:   Options Database Keys:
3467: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3468: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3469: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3470: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3472:   Level: intermediate

3474:   Notes:
3475:   The default is 1

3477:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3479:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3481: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3482:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3483: @*/
3484: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3485: {
3486:   PetscFunctionBegin;
3488:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3489:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3491:   snes->lagpreconditioner = lag;
3492:   PetscFunctionReturn(PETSC_SUCCESS);
3493: }

3495: /*@
3496:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3498:   Logically Collective

3500:   Input Parameters:
3501: + snes  - the `SNES` context
3502: - steps - the number of refinements to do, defaults to 0

3504:   Options Database Key:
3505: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3507:   Level: intermediate

3509:   Note:
3510:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3512: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3513:           `SNESetDM()`
3514: @*/
3515: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3516: {
3517:   PetscFunctionBegin;
3520:   snes->gridsequence = steps;
3521:   PetscFunctionReturn(PETSC_SUCCESS);
3522: }

3524: /*@
3525:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3527:   Logically Collective

3529:   Input Parameter:
3530: . snes - the `SNES` context

3532:   Output Parameter:
3533: . steps - the number of refinements to do, defaults to 0

3535:   Level: intermediate

3537: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3538: @*/
3539: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3540: {
3541:   PetscFunctionBegin;
3543:   *steps = snes->gridsequence;
3544:   PetscFunctionReturn(PETSC_SUCCESS);
3545: }

3547: /*@
3548:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3550:   Not Collective

3552:   Input Parameter:
3553: . snes - the `SNES` context

3555:   Output Parameter:
3556: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3557:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3559:   Level: intermediate

3561:   Notes:
3562:   The default is 1

3564:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3566: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3567: @*/
3568: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3569: {
3570:   PetscFunctionBegin;
3572:   *lag = snes->lagpreconditioner;
3573:   PetscFunctionReturn(PETSC_SUCCESS);
3574: }

3576: /*@
3577:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3578:   often the preconditioner is rebuilt.

3580:   Logically Collective

3582:   Input Parameters:
3583: + snes - the `SNES` context
3584: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3585:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3587:   Options Database Keys:
3588: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3589: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3590: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3591: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3593:   Level: intermediate

3595:   Notes:
3596:   The default is 1

3598:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3600:   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
3601:   at the next Newton step but never again (unless it is reset to another value)

3603: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3604: @*/
3605: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3606: {
3607:   PetscFunctionBegin;
3609:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3610:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3612:   snes->lagjacobian = lag;
3613:   PetscFunctionReturn(PETSC_SUCCESS);
3614: }

3616: /*@
3617:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3619:   Not Collective

3621:   Input Parameter:
3622: . snes - the `SNES` context

3624:   Output Parameter:
3625: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3626:          the Jacobian is built etc.

3628:   Level: intermediate

3630:   Notes:
3631:   The default is 1

3633:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3635: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3637: @*/
3638: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3639: {
3640:   PetscFunctionBegin;
3642:   *lag = snes->lagjacobian;
3643:   PetscFunctionReturn(PETSC_SUCCESS);
3644: }

3646: /*@
3647:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3649:   Logically collective

3651:   Input Parameters:
3652: + snes - the `SNES` context
3653: - flg  - jacobian lagging persists if true

3655:   Options Database Keys:
3656: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3657: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3658: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3659: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3661:   Level: advanced

3663:   Notes:
3664:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3666:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3667:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3668:   timesteps may present huge efficiency gains.

3670: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3671: @*/
3672: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3673: {
3674:   PetscFunctionBegin;
3677:   snes->lagjac_persist = flg;
3678:   PetscFunctionReturn(PETSC_SUCCESS);
3679: }

3681: /*@
3682:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3684:   Logically Collective

3686:   Input Parameters:
3687: + snes - the `SNES` context
3688: - flg  - preconditioner lagging persists if true

3690:   Options Database Keys:
3691: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3692: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3693: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3694: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3696:   Level: developer

3698:   Notes:
3699:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3701:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3702:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3703:   several timesteps may present huge efficiency gains.

3705: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3706: @*/
3707: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3708: {
3709:   PetscFunctionBegin;
3712:   snes->lagpre_persist = flg;
3713:   PetscFunctionReturn(PETSC_SUCCESS);
3714: }

3716: /*@
3717:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3719:   Logically Collective

3721:   Input Parameters:
3722: + snes  - the `SNES` context
3723: - force - `PETSC_TRUE` require at least one iteration

3725:   Options Database Key:
3726: . -snes_force_iteration <force> - Sets forcing an iteration

3728:   Level: intermediate

3730:   Note:
3731:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3733: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3734: @*/
3735: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3736: {
3737:   PetscFunctionBegin;
3739:   snes->forceiteration = force;
3740:   PetscFunctionReturn(PETSC_SUCCESS);
3741: }

3743: /*@
3744:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3746:   Logically Collective

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

3751:   Output Parameter:
3752: . force - `PETSC_TRUE` requires at least one iteration.

3754:   Level: intermediate

3756: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3757: @*/
3758: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3759: {
3760:   PetscFunctionBegin;
3762:   *force = snes->forceiteration;
3763:   PetscFunctionReturn(PETSC_SUCCESS);
3764: }

3766: /*@
3767:   SNESSetTolerances - Sets `SNES` various parameters used in convergence tests.

3769:   Logically Collective

3771:   Input Parameters:
3772: + snes   - the `SNES` context
3773: . abstol - absolute convergence tolerance
3774: . rtol   - relative convergence tolerance
3775: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3776: . maxit  - maximum number of iterations, default 50.
3777: - maxf   - maximum number of function evaluations (-1 indicates no limit), default 1000

3779:   Options Database Keys:
3780: + -snes_atol <abstol>    - Sets abstol
3781: . -snes_rtol <rtol>      - Sets rtol
3782: . -snes_stol <stol>      - Sets stol
3783: . -snes_max_it <maxit>   - Sets maxit
3784: - -snes_max_funcs <maxf> - Sets maxf

3786:   Level: intermediate

3788: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3789: @*/
3790: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3791: {
3792:   PetscFunctionBegin;

3800:   if (abstol != (PetscReal)PETSC_DEFAULT) {
3801:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3802:     snes->abstol = abstol;
3803:   }
3804:   if (rtol != (PetscReal)PETSC_DEFAULT) {
3805:     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);
3806:     snes->rtol = rtol;
3807:   }
3808:   if (stol != (PetscReal)PETSC_DEFAULT) {
3809:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3810:     snes->stol = stol;
3811:   }
3812:   if (maxit != PETSC_DEFAULT) {
3813:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3814:     snes->max_its = maxit;
3815:   }
3816:   if (maxf != PETSC_DEFAULT) {
3817:     PetscCheck(maxf >= -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be -1 or nonnegative", maxf);
3818:     snes->max_funcs = maxf;
3819:   }
3820:   snes->tolerancesset = PETSC_TRUE;
3821:   PetscFunctionReturn(PETSC_SUCCESS);
3822: }

3824: /*@
3825:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3827:   Logically Collective

3829:   Input Parameters:
3830: + snes   - the `SNES` context
3831: - divtol - the divergence tolerance.

3833:   Options Database Key:
3834: . -snes_divergence_tolerance <divtol> - Sets `divtol`

3836:   Level: intermediate

3838:   Note:
3839:   Non-positive values of `divtol` different from `PETSC_DEFAULT` will deactivate the test.

3841: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance`
3842: @*/
3843: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
3844: {
3845:   PetscFunctionBegin;
3848:   if (divtol != (PetscReal)PETSC_DEFAULT) snes->divtol = divtol;
3849:   PetscFunctionReturn(PETSC_SUCCESS);
3850: }

3852: /*@
3853:   SNESGetTolerances - Gets various parameters used in convergence tests.

3855:   Not Collective

3857:   Input Parameters:
3858: + snes  - the `SNES` context
3859: . atol  - absolute convergence tolerance
3860: . rtol  - relative convergence tolerance
3861: . stol  - convergence tolerance in terms of the norm
3862:           of the change in the solution between steps
3863: . maxit - maximum number of iterations
3864: - maxf  - maximum number of function evaluations

3866:   Level: intermediate

3868:   Note:
3869:   The user can specify `NULL` for any parameter that is not needed.

3871: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
3872: @*/
3873: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
3874: {
3875:   PetscFunctionBegin;
3877:   if (atol) *atol = snes->abstol;
3878:   if (rtol) *rtol = snes->rtol;
3879:   if (stol) *stol = snes->stol;
3880:   if (maxit) *maxit = snes->max_its;
3881:   if (maxf) *maxf = snes->max_funcs;
3882:   PetscFunctionReturn(PETSC_SUCCESS);
3883: }

3885: /*@
3886:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

3888:   Not Collective

3890:   Input Parameters:
3891: + snes   - the `SNES` context
3892: - divtol - divergence tolerance

3894:   Level: intermediate

3896: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
3897: @*/
3898: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
3899: {
3900:   PetscFunctionBegin;
3902:   if (divtol) *divtol = snes->divtol;
3903:   PetscFunctionReturn(PETSC_SUCCESS);
3904: }

3906: /*@
3907:   SNESSetTrustRegionTolerance - Sets the trust region parameter tolerance.

3909:   Logically Collective

3911:   Input Parameters:
3912: + snes - the `SNES` context
3913: - tol  - tolerance

3915:   Options Database Key:
3916: . -snes_tr_tol <tol> - Sets tol

3918:   Level: intermediate

3920:   Developer Note:
3921:   Should be SNESTrustRegionSetTolerance()

3923: .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESSetTolerances()`
3924: @*/
3925: PetscErrorCode SNESSetTrustRegionTolerance(SNES snes, PetscReal tol)
3926: {
3927:   PetscFunctionBegin;
3930:   snes->deltatol = tol;
3931:   PetscFunctionReturn(PETSC_SUCCESS);
3932: }

3934: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

3936: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, void *monctx)
3937: {
3938:   PetscDrawLG      lg;
3939:   PetscReal        x, y, per;
3940:   PetscViewer      v = (PetscViewer)monctx;
3941:   static PetscReal prev; /* should be in the context */
3942:   PetscDraw        draw;

3944:   PetscFunctionBegin;
3946:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
3947:   if (!n) PetscCall(PetscDrawLGReset(lg));
3948:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3949:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
3950:   x = (PetscReal)n;
3951:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
3952:   else y = -15.0;
3953:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3954:   if (n < 20 || !(n % 5) || snes->reason) {
3955:     PetscCall(PetscDrawLGDraw(lg));
3956:     PetscCall(PetscDrawLGSave(lg));
3957:   }

3959:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
3960:   if (!n) PetscCall(PetscDrawLGReset(lg));
3961:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3962:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
3963:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
3964:   x = (PetscReal)n;
3965:   y = 100.0 * per;
3966:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3967:   if (n < 20 || !(n % 5) || snes->reason) {
3968:     PetscCall(PetscDrawLGDraw(lg));
3969:     PetscCall(PetscDrawLGSave(lg));
3970:   }

3972:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
3973:   if (!n) {
3974:     prev = rnorm;
3975:     PetscCall(PetscDrawLGReset(lg));
3976:   }
3977:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3978:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
3979:   x = (PetscReal)n;
3980:   y = (prev - rnorm) / prev;
3981:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3982:   if (n < 20 || !(n % 5) || snes->reason) {
3983:     PetscCall(PetscDrawLGDraw(lg));
3984:     PetscCall(PetscDrawLGSave(lg));
3985:   }

3987:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
3988:   if (!n) PetscCall(PetscDrawLGReset(lg));
3989:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3990:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
3991:   x = (PetscReal)n;
3992:   y = (prev - rnorm) / (prev * per);
3993:   if (n > 2) { /*skip initial crazy value */
3994:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3995:   }
3996:   if (n < 20 || !(n % 5) || snes->reason) {
3997:     PetscCall(PetscDrawLGDraw(lg));
3998:     PetscCall(PetscDrawLGSave(lg));
3999:   }
4000:   prev = rnorm;
4001:   PetscFunctionReturn(PETSC_SUCCESS);
4002: }

4004: /*@
4005:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

4007:   Collective

4009:   Input Parameters:
4010: + snes  - the `SNES` context
4011: . it    - current iteration
4012: . xnorm - 2-norm of current iterate
4013: . snorm - 2-norm of current step
4014: - fnorm - 2-norm of function

4016:   Level: developer

4018:   Note:
4019:   This routine is called by the `SNESSolve()` implementations.
4020:   It does not typically need to be called by the user.

4022: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
4023: @*/
4024: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4025: {
4026:   PetscFunctionBegin;
4027:   if (!snes->reason) {
4028:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4029:     if (it == snes->max_its && !snes->reason) {
4030:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4031:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4032:         snes->reason = SNES_DIVERGED_MAX_IT;
4033:       } else snes->reason = SNES_CONVERGED_ITS;
4034:     }
4035:   }
4036:   PetscFunctionReturn(PETSC_SUCCESS);
4037: }

4039: /*@
4040:   SNESMonitor - runs the user provided monitor routines, if they exist

4042:   Collective

4044:   Input Parameters:
4045: + snes  - nonlinear solver context obtained from `SNESCreate()`
4046: . iter  - iteration number
4047: - rnorm - relative norm of the residual

4049:   Level: developer

4051:   Note:
4052:   This routine is called by the `SNESSolve()` implementations.
4053:   It does not typically need to be called by the user.

4055: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4056: @*/
4057: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4058: {
4059:   PetscInt i, n = snes->numbermonitors;

4061:   PetscFunctionBegin;
4062:   if (n > 0) SNESCheckFunctionNorm(snes, rnorm);
4063:   PetscCall(VecLockReadPush(snes->vec_sol));
4064:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4065:   PetscCall(VecLockReadPop(snes->vec_sol));
4066:   PetscFunctionReturn(PETSC_SUCCESS);
4067: }

4069: /* ------------ Routines to set performance monitoring options ----------- */

4071: /*MC
4072:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4074:      Synopsis:
4075: #include <petscsnes.h>
4076:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, void *mctx)

4078:      Collective

4080:     Input Parameters:
4081: +    snes - the `SNES` context
4082: .    its - iteration number
4083: .    norm - 2-norm function value (may be estimated)
4084: -    mctx - [optional] monitoring context

4086:    Level: advanced

4088: .seealso: [](ch_snes), `SNESMonitorSet()`, `SNESMonitorSet()`, `SNESMonitorGet()`
4089: M*/

4091: /*@C
4092:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4093:   iteration of the nonlinear solver to display the iteration's
4094:   progress.

4096:   Logically Collective

4098:   Input Parameters:
4099: + snes           - the `SNES` context
4100: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4101: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4102: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`)

4104:   Options Database Keys:
4105: + -snes_monitor               - sets `SNESMonitorDefault()`
4106: . -snes_monitor draw::draw_lg - sets line graph monitor,
4107: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4108:                                 the options database.

4110:   Level: intermediate

4112:   Note:
4113:   Several different monitoring routines may be set by calling
4114:   `SNESMonitorSet()` multiple times; all will be called in the
4115:   order in which they were set.

4117:   Fortran Note:
4118:   Only a single monitor function can be set for each `SNES` object

4120: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`
4121: @*/
4122: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, void *), void *mctx, PetscErrorCode (*monitordestroy)(void **))
4123: {
4124:   PetscInt  i;
4125:   PetscBool identical;

4127:   PetscFunctionBegin;
4129:   for (i = 0; i < snes->numbermonitors; i++) {
4130:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, mctx, monitordestroy, (PetscErrorCode(*)(void))snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4131:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4132:   }
4133:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4134:   snes->monitor[snes->numbermonitors]          = f;
4135:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4136:   snes->monitorcontext[snes->numbermonitors++] = (void *)mctx;
4137:   PetscFunctionReturn(PETSC_SUCCESS);
4138: }

4140: /*@
4141:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4143:   Logically Collective

4145:   Input Parameter:
4146: . snes - the `SNES` context

4148:   Options Database Key:
4149: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4150:     into a code by calls to `SNESMonitorSet()`, but does not cancel those
4151:     set via the options database

4153:   Level: intermediate

4155:   Note:
4156:   There is no way to clear one specific monitor from a `SNES` object.

4158: .seealso: [](ch_snes), `SNES`, `SNESMonitorGet()`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4159: @*/
4160: PetscErrorCode SNESMonitorCancel(SNES snes)
4161: {
4162:   PetscInt i;

4164:   PetscFunctionBegin;
4166:   for (i = 0; i < snes->numbermonitors; i++) {
4167:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4168:   }
4169:   snes->numbermonitors = 0;
4170:   PetscFunctionReturn(PETSC_SUCCESS);
4171: }

4173: /*MC
4174:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4176:      Synopsis:
4177: #include <petscsnes.h>
4178:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4180:      Collective

4182:     Input Parameters:
4183: +    snes - the `SNES` context
4184: .    it - current iteration (0 is the first and is before any Newton step)
4185: .    xnorm - 2-norm of current iterate
4186: .    gnorm - 2-norm of current step
4187: .    f - 2-norm of function
4188: -    cctx - [optional] convergence context

4190:     Output Parameter:
4191: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4193:    Level: intermediate

4195: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
4196: M*/

4198: /*@C
4199:   SNESSetConvergenceTest - Sets the function that is to be used
4200:   to test for convergence of the nonlinear iterative solution.

4202:   Logically Collective

4204:   Input Parameters:
4205: + snes                        - the `SNES` context
4206: . SNESConvergenceTestFunction - routine to test for convergence
4207: . cctx                        - [optional] context for private data for the convergence routine  (may be `NULL`)
4208: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4210:   Level: advanced

4212: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4213: @*/
4214: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *cctx, PetscErrorCode (*destroy)(void *))
4215: {
4216:   PetscFunctionBegin;
4218:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4219:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(snes->cnvP));
4220:   snes->ops->converged        = SNESConvergenceTestFunction;
4221:   snes->ops->convergeddestroy = destroy;
4222:   snes->cnvP                  = cctx;
4223:   PetscFunctionReturn(PETSC_SUCCESS);
4224: }

4226: /*@
4227:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped.

4229:   Not Collective

4231:   Input Parameter:
4232: . snes - the `SNES` context

4234:   Output Parameter:
4235: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4237:   Options Database Key:
4238: . -snes_converged_reason - prints the reason to standard out

4240:   Level: intermediate

4242:   Note:
4243:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4245: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4246: @*/
4247: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4248: {
4249:   PetscFunctionBegin;
4251:   PetscAssertPointer(reason, 2);
4252:   *reason = snes->reason;
4253:   PetscFunctionReturn(PETSC_SUCCESS);
4254: }

4256: /*@C
4257:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4259:   Not Collective

4261:   Input Parameter:
4262: . snes - the `SNES` context

4264:   Output Parameter:
4265: . strreason - a human readable string that describes `SNES` converged reason

4267:   Level: beginner

4269: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4270: @*/
4271: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4272: {
4273:   PetscFunctionBegin;
4275:   PetscAssertPointer(strreason, 2);
4276:   *strreason = SNESConvergedReasons[snes->reason];
4277:   PetscFunctionReturn(PETSC_SUCCESS);
4278: }

4280: /*@
4281:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4283:   Not Collective

4285:   Input Parameters:
4286: + snes   - the `SNES` context
4287: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4288:             manual pages for the individual convergence tests for complete lists

4290:   Level: developer

4292:   Developer Note:
4293:   Called inside the various `SNESSolve()` implementations

4295: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4296: @*/
4297: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4298: {
4299:   PetscFunctionBegin;
4301:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4302:   snes->reason = reason;
4303:   PetscFunctionReturn(PETSC_SUCCESS);
4304: }

4306: /*@
4307:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4309:   Logically Collective

4311:   Input Parameters:
4312: + snes  - iterative context obtained from `SNESCreate()`
4313: . a     - array to hold history, this array will contain the function norms computed at each step
4314: . its   - integer array holds the number of linear iterations for each solve.
4315: . na    - size of `a` and `its`
4316: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4317:            else it continues storing new values for new nonlinear solves after the old ones

4319:   Level: intermediate

4321:   Notes:
4322:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' `PETSC_DECIDE` or `PETSC_DEFAULT` then a
4323:   default array of length 10000 is allocated.

4325:   This routine is useful, e.g., when running a code for purposes
4326:   of accurate performance monitoring, when no I/O should be done
4327:   during the section of code that is being timed.

4329:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4331: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4332: @*/
4333: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4334: {
4335:   PetscFunctionBegin;
4337:   if (a) PetscAssertPointer(a, 2);
4338:   if (its) PetscAssertPointer(its, 3);
4339:   if (!a) {
4340:     if (na == PETSC_DECIDE || na == PETSC_DEFAULT) na = 1000;
4341:     PetscCall(PetscCalloc2(na, &a, na, &its));
4342:     snes->conv_hist_alloc = PETSC_TRUE;
4343:   }
4344:   snes->conv_hist       = a;
4345:   snes->conv_hist_its   = its;
4346:   snes->conv_hist_max   = (size_t)na;
4347:   snes->conv_hist_len   = 0;
4348:   snes->conv_hist_reset = reset;
4349:   PetscFunctionReturn(PETSC_SUCCESS);
4350: }

4352: #if defined(PETSC_HAVE_MATLAB)
4353:   #include <engine.h> /* MATLAB include file */
4354:   #include <mex.h>    /* MATLAB include file */

4356: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4357: {
4358:   mxArray   *mat;
4359:   PetscInt   i;
4360:   PetscReal *ar;

4362:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4363:   ar  = (PetscReal *)mxGetData(mat);
4364:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4365:   return mat;
4366: }
4367: #endif

4369: /*@C
4370:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4372:   Not Collective

4374:   Input Parameter:
4375: . snes - iterative context obtained from `SNESCreate()`

4377:   Output Parameters:
4378: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4379: . its - integer array holds the number of linear iterations (or
4380:          negative if not converged) for each solve.
4381: - na  - size of `a` and `its`

4383:   Level: intermediate

4385:   Note:
4386:   This routine is useful, e.g., when running a code for purposes
4387:   of accurate performance monitoring, when no I/O should be done
4388:   during the section of code that is being timed.

4390:   Fortran Note:
4391:   The calling sequence for this routine in Fortran is
4392: .vb
4393:     call SNESGetConvergenceHistory(SNES snes, integer na, integer ierr)
4394: .ve

4396: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4397: @*/
4398: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4399: {
4400:   PetscFunctionBegin;
4402:   if (a) *a = snes->conv_hist;
4403:   if (its) *its = snes->conv_hist_its;
4404:   if (na) *na = (PetscInt)snes->conv_hist_len;
4405:   PetscFunctionReturn(PETSC_SUCCESS);
4406: }

4408: /*@C
4409:   SNESSetUpdate - Sets the general-purpose update function called
4410:   at the beginning of every iteration of the nonlinear solve. Specifically
4411:   it is called just before the Jacobian is "evaluated".

4413:   Logically Collective

4415:   Input Parameters:
4416: + snes - The nonlinear solver context
4417: - func - The function

4419:   Calling sequence of `func`:
4420: + snes - the nonlinear solver context
4421: - step - The current step of the iteration

4423:   Level: advanced

4425:   Notes:
4426:   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
4427:   to `SNESSetFunction()`, or `SNESSetPicard()`
4428:   This is not used by most users.

4430:   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.

4432: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4433:          `SNESMonitorSet()`, `SNESSetDivergenceTest()`
4434: @*/
4435: PetscErrorCode SNESSetUpdate(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt step))
4436: {
4437:   PetscFunctionBegin;
4439:   snes->ops->update = func;
4440:   PetscFunctionReturn(PETSC_SUCCESS);
4441: }

4443: /*@C
4444:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4446:   Collective

4448:   Input Parameters:
4449: + snes   - iterative context obtained from `SNESCreate()`
4450: - viewer - the viewer to display the reason

4452:   Options Database Keys:
4453: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4454: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4456:   Level: beginner

4458:   Note:
4459:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4460:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4462: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4463:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4464:           `SNESConvergedReasonViewFromOptions()`,
4465:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4466: @*/
4467: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4468: {
4469:   PetscViewerFormat format;
4470:   PetscBool         isAscii;

4472:   PetscFunctionBegin;
4473:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4474:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4475:   if (isAscii) {
4476:     PetscCall(PetscViewerGetFormat(viewer, &format));
4477:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel + 1));
4478:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4479:       DM       dm;
4480:       Vec      u;
4481:       PetscDS  prob;
4482:       PetscInt Nf, f;
4483:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4484:       void    **exactCtx;
4485:       PetscReal error;

4487:       PetscCall(SNESGetDM(snes, &dm));
4488:       PetscCall(SNESGetSolution(snes, &u));
4489:       PetscCall(DMGetDS(dm, &prob));
4490:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4491:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4492:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4493:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4494:       PetscCall(PetscFree2(exactSol, exactCtx));
4495:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4496:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4497:     }
4498:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4499:       if (((PetscObject)snes)->prefix) {
4500:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4501:       } else {
4502:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4503:       }
4504:     } else if (snes->reason <= 0) {
4505:       if (((PetscObject)snes)->prefix) {
4506:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4507:       } else {
4508:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4509:       }
4510:     }
4511:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel + 1));
4512:   }
4513:   PetscFunctionReturn(PETSC_SUCCESS);
4514: }

4516: /*@C
4517:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4518:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4520:   Logically Collective

4522:   Input Parameters:
4523: + snes              - the `SNES` context
4524: . f                 - the `SNESConvergedReason` view function
4525: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4526: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`)

4528:   Calling sequence of `f`:
4529: + snes - the `SNES` context
4530: - vctx - [optional] user-defined context for private data for the function

4532:   Calling sequence of `reasonviewerdestroy`:
4533: . vctx - [optional] user-defined context for private data for the function

4535:   Options Database Keys:
4536: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4537: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4538:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4540:   Level: intermediate

4542:   Note:
4543:   Several different converged reason view routines may be set by calling
4544:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4545:   order in which they were set.

4547: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`
4548: @*/
4549: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscErrorCode (*reasonviewdestroy)(void **vctx))
4550: {
4551:   PetscInt  i;
4552:   PetscBool identical;

4554:   PetscFunctionBegin;
4556:   for (i = 0; i < snes->numberreasonviews; i++) {
4557:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, vctx, reasonviewdestroy, (PetscErrorCode(*)(void))snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4558:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4559:   }
4560:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4561:   snes->reasonview[snes->numberreasonviews]          = f;
4562:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4563:   snes->reasonviewcontext[snes->numberreasonviews++] = (void *)vctx;
4564:   PetscFunctionReturn(PETSC_SUCCESS);
4565: }

4567: /*@
4568:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4569:   All the user-provided convergedReasonView routines will be involved as well, if they exist.

4571:   Collective

4573:   Input Parameter:
4574: . snes - the `SNES` object

4576:   Level: advanced

4578: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4579:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4580: @*/
4581: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4582: {
4583:   PetscViewer       viewer;
4584:   PetscBool         flg;
4585:   static PetscBool  incall = PETSC_FALSE;
4586:   PetscViewerFormat format;
4587:   PetscInt          i;

4589:   PetscFunctionBegin;
4590:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4591:   incall = PETSC_TRUE;

4593:   /* All user-provided viewers are called first, if they exist. */
4594:   for (i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4596:   /* Call PETSc default routine if users ask for it */
4597:   PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &viewer, &format, &flg));
4598:   if (flg) {
4599:     PetscCall(PetscViewerPushFormat(viewer, format));
4600:     PetscCall(SNESConvergedReasonView(snes, viewer));
4601:     PetscCall(PetscViewerPopFormat(viewer));
4602:     PetscCall(PetscOptionsRestoreViewer(&viewer));
4603:   }
4604:   incall = PETSC_FALSE;
4605:   PetscFunctionReturn(PETSC_SUCCESS);
4606: }

4608: /*@
4609:   SNESSolve - Solves a nonlinear system F(x) = b.

4611:   Collective

4613:   Input Parameters:
4614: + snes - the `SNES` context
4615: . b    - the constant part of the equation F(x) = b, or `NULL` to use zero.
4616: - x    - the solution vector.

4618:   Level: beginner

4620:   Note:
4621:   The user should initialize the vector, `x`, with the initial guess
4622:   for the nonlinear solve prior to calling `SNESSolve()` or use `SNESSetInitialSolution()`.  In particular,
4623:   to employ an initial guess of zero, the user should explicitly set
4624:   this vector to zero by calling `VecSet()`.

4626: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4627:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4628:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`, `SNESSetInitialSolution()`
4629: @*/
4630: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4631: {
4632:   PetscBool flg;
4633:   PetscInt  grid;
4634:   Vec       xcreated = NULL;
4635:   DM        dm;

4637:   PetscFunctionBegin;
4640:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4642:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4644:   /* High level operations using the nonlinear solver */
4645:   {
4646:     PetscViewer       viewer;
4647:     PetscViewerFormat format;
4648:     PetscInt          num;
4649:     PetscBool         flg;
4650:     static PetscBool  incall = PETSC_FALSE;

4652:     if (!incall) {
4653:       /* Estimate the convergence rate of the discretization */
4654:       PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4655:       if (flg) {
4656:         PetscConvEst conv;
4657:         DM           dm;
4658:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4659:         PetscInt     Nf;

4661:         incall = PETSC_TRUE;
4662:         PetscCall(SNESGetDM(snes, &dm));
4663:         PetscCall(DMGetNumFields(dm, &Nf));
4664:         PetscCall(PetscCalloc1(Nf, &alpha));
4665:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4666:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4667:         PetscCall(PetscConvEstSetFromOptions(conv));
4668:         PetscCall(PetscConvEstSetUp(conv));
4669:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4670:         PetscCall(PetscViewerPushFormat(viewer, format));
4671:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4672:         PetscCall(PetscViewerPopFormat(viewer));
4673:         PetscCall(PetscOptionsRestoreViewer(&viewer));
4674:         PetscCall(PetscConvEstDestroy(&conv));
4675:         PetscCall(PetscFree(alpha));
4676:         incall = PETSC_FALSE;
4677:       }
4678:       /* Adaptively refine the initial grid */
4679:       num = 1;
4680:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4681:       if (flg) {
4682:         DMAdaptor adaptor;

4684:         incall = PETSC_TRUE;
4685:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4686:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4687:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4688:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4689:         PetscCall(DMAdaptorSetUp(adaptor));
4690:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4691:         PetscCall(DMAdaptorDestroy(&adaptor));
4692:         incall = PETSC_FALSE;
4693:       }
4694:       /* Use grid sequencing to adapt */
4695:       num = 0;
4696:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4697:       if (num) {
4698:         DMAdaptor adaptor;

4700:         incall = PETSC_TRUE;
4701:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4702:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4703:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4704:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4705:         PetscCall(DMAdaptorSetUp(adaptor));
4706:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4707:         PetscCall(DMAdaptorDestroy(&adaptor));
4708:         incall = PETSC_FALSE;
4709:       }
4710:     }
4711:   }
4712:   if (!x) x = snes->vec_sol;
4713:   if (!x) {
4714:     PetscCall(SNESGetDM(snes, &dm));
4715:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4716:     x = xcreated;
4717:   }
4718:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4720:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4721:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4722:     /* set solution vector */
4723:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4724:     PetscCall(VecDestroy(&snes->vec_sol));
4725:     snes->vec_sol = x;
4726:     PetscCall(SNESGetDM(snes, &dm));

4728:     /* set affine vector if provided */
4729:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4730:     PetscCall(VecDestroy(&snes->vec_rhs));
4731:     snes->vec_rhs = b;

4733:     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");
4734:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4735:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4736:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4737:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4738:     PetscCall(SNESSetUp(snes));

4740:     if (!grid) {
4741:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4742:     }

4744:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4745:     if (snes->counters_reset) {
4746:       snes->nfuncs      = 0;
4747:       snes->linear_its  = 0;
4748:       snes->numFailures = 0;
4749:     }

4751:     snes->reason = SNES_CONVERGED_ITERATING;
4752:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4753:     PetscUseTypeMethod(snes, solve);
4754:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4755:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4756:     snes->domainerror = PETSC_FALSE; /* clear the flag if it has been set */

4758:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4759:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4761:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4762:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4763:     /* Call converged reason views. This may involve user-provided viewers as well */
4764:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4766:     if (snes->errorifnotconverged) PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4767:     if (snes->reason < 0) break;
4768:     if (grid < snes->gridsequence) {
4769:       DM  fine;
4770:       Vec xnew;
4771:       Mat interp;

4773:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4774:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4775:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4776:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4777:       PetscCall(MatInterpolate(interp, x, xnew));
4778:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4779:       PetscCall(MatDestroy(&interp));
4780:       x = xnew;

4782:       PetscCall(SNESReset(snes));
4783:       PetscCall(SNESSetDM(snes, fine));
4784:       PetscCall(SNESResetFromOptions(snes));
4785:       PetscCall(DMDestroy(&fine));
4786:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4787:     }
4788:   }
4789:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4790:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4791:   PetscCall(DMMonitor(snes->dm));
4792:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4794:   PetscCall(VecDestroy(&xcreated));
4795:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4796:   PetscFunctionReturn(PETSC_SUCCESS);
4797: }

4799: /* --------- Internal routines for SNES Package --------- */

4801: /*@C
4802:   SNESSetType - Sets the method for the nonlinear solver.

4804:   Collective

4806:   Input Parameters:
4807: + snes - the `SNES` context
4808: - type - a known method

4810:   Options Database Key:
4811: . -snes_type <type> - Sets the method; use -help for a list
4812:    of available methods (for instance, newtonls or newtontr)

4814:   Level: intermediate

4816:   Notes:
4817:   See "petsc/include/petscsnes.h" for available methods (for instance)
4818: +    `SNESNEWTONLS` - Newton's method with line search
4819:   (systems of nonlinear equations)
4820: -    `SNESNEWTONTR` - Newton's method with trust region
4821:   (systems of nonlinear equations)

4823:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4824:   set the `SNES` solver type from the options database rather than by using
4825:   this routine.  Using the options database provides the user with
4826:   maximum flexibility in evaluating the many nonlinear solvers.
4827:   The `SNESSetType()` routine is provided for those situations where it
4828:   is necessary to set the nonlinear solver independently of the command
4829:   line or options database.  This might be the case, for example, when
4830:   the choice of solver changes during the execution of the program,
4831:   and the user's application is taking responsibility for choosing the
4832:   appropriate method.

4834:   Developer Note:
4835:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4836:   the constructor in that list and calls it to create the specific object.

4838: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4839: @*/
4840: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4841: {
4842:   PetscBool match;
4843:   PetscErrorCode (*r)(SNES);

4845:   PetscFunctionBegin;
4847:   PetscAssertPointer(type, 2);

4849:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4850:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4852:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4853:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4854:   /* Destroy the previous private SNES context */
4855:   PetscTryTypeMethod(snes, destroy);
4856:   /* Reinitialize function pointers in SNESOps structure */
4857:   snes->ops->setup          = NULL;
4858:   snes->ops->solve          = NULL;
4859:   snes->ops->view           = NULL;
4860:   snes->ops->setfromoptions = NULL;
4861:   snes->ops->destroy        = NULL;

4863:   /* It may happen the user has customized the line search before calling SNESSetType */
4864:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

4866:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
4867:   snes->setupcalled = PETSC_FALSE;

4869:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
4870:   PetscCall((*r)(snes));
4871:   PetscFunctionReturn(PETSC_SUCCESS);
4872: }

4874: /*@C
4875:   SNESGetType - Gets the `SNES` method type and name (as a string).

4877:   Not Collective

4879:   Input Parameter:
4880: . snes - nonlinear solver context

4882:   Output Parameter:
4883: . type - `SNES` method (a character string)

4885:   Level: intermediate

4887: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
4888: @*/
4889: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
4890: {
4891:   PetscFunctionBegin;
4893:   PetscAssertPointer(type, 2);
4894:   *type = ((PetscObject)snes)->type_name;
4895:   PetscFunctionReturn(PETSC_SUCCESS);
4896: }

4898: /*@
4899:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

4901:   Logically Collective

4903:   Input Parameters:
4904: + snes - the `SNES` context obtained from `SNESCreate()`
4905: - u    - the solution vector

4907:   Level: beginner

4909: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
4910: @*/
4911: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
4912: {
4913:   DM dm;

4915:   PetscFunctionBegin;
4918:   PetscCall(PetscObjectReference((PetscObject)u));
4919:   PetscCall(VecDestroy(&snes->vec_sol));

4921:   snes->vec_sol = u;

4923:   PetscCall(SNESGetDM(snes, &dm));
4924:   PetscCall(DMShellSetGlobalVector(dm, u));
4925:   PetscFunctionReturn(PETSC_SUCCESS);
4926: }

4928: /*@
4929:   SNESGetSolution - Returns the vector where the approximate solution is
4930:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

4932:   Not Collective, but `x` is parallel if `snes` is parallel

4934:   Input Parameter:
4935: . snes - the `SNES` context

4937:   Output Parameter:
4938: . x - the solution

4940:   Level: intermediate

4942: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
4943: @*/
4944: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
4945: {
4946:   PetscFunctionBegin;
4948:   PetscAssertPointer(x, 2);
4949:   *x = snes->vec_sol;
4950:   PetscFunctionReturn(PETSC_SUCCESS);
4951: }

4953: /*@
4954:   SNESGetSolutionUpdate - Returns the vector where the solution update is
4955:   stored.

4957:   Not Collective, but `x` is parallel if `snes` is parallel

4959:   Input Parameter:
4960: . snes - the `SNES` context

4962:   Output Parameter:
4963: . x - the solution update

4965:   Level: advanced

4967: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
4968: @*/
4969: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
4970: {
4971:   PetscFunctionBegin;
4973:   PetscAssertPointer(x, 2);
4974:   *x = snes->vec_sol_update;
4975:   PetscFunctionReturn(PETSC_SUCCESS);
4976: }

4978: /*@C
4979:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

4981:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

4983:   Input Parameter:
4984: . snes - the `SNES` context

4986:   Output Parameters:
4987: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
4988: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
4989: - ctx - the function context (or `NULL` if you don't want it)

4991:   Level: advanced

4993:   Note:
4994:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

4996: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
4997: @*/
4998: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, void **ctx)
4999: {
5000:   DM dm;

5002:   PetscFunctionBegin;
5004:   if (r) {
5005:     if (!snes->vec_func) {
5006:       if (snes->vec_rhs) {
5007:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
5008:       } else if (snes->vec_sol) {
5009:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
5010:       } else if (snes->dm) {
5011:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
5012:       }
5013:     }
5014:     *r = snes->vec_func;
5015:   }
5016:   PetscCall(SNESGetDM(snes, &dm));
5017:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5018:   PetscFunctionReturn(PETSC_SUCCESS);
5019: }

5021: /*@C
5022:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5024:   Input Parameter:
5025: . snes - the `SNES` context

5027:   Output Parameters:
5028: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5029: - ctx - the function context (or `NULL`)

5031:   Level: advanced

5033: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5034: @*/
5035: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, void **ctx)
5036: {
5037:   DM dm;

5039:   PetscFunctionBegin;
5041:   PetscCall(SNESGetDM(snes, &dm));
5042:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5043:   PetscFunctionReturn(PETSC_SUCCESS);
5044: }

5046: /*@C
5047:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5048:   `SNES` options in the database.

5050:   Logically Collective

5052:   Input Parameters:
5053: + snes   - the `SNES` context
5054: - prefix - the prefix to prepend to all option names

5056:   Level: advanced

5058:   Note:
5059:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5060:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5062: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5063: @*/
5064: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5065: {
5066:   PetscFunctionBegin;
5068:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5069:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5070:   if (snes->linesearch) {
5071:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5072:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5073:   }
5074:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5075:   PetscFunctionReturn(PETSC_SUCCESS);
5076: }

5078: /*@C
5079:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5080:   `SNES` options in the database.

5082:   Logically Collective

5084:   Input Parameters:
5085: + snes   - the `SNES` context
5086: - prefix - the prefix to prepend to all option names

5088:   Level: advanced

5090:   Note:
5091:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5092:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5094: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5095: @*/
5096: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5097: {
5098:   PetscFunctionBegin;
5100:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5101:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5102:   if (snes->linesearch) {
5103:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5104:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5105:   }
5106:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5107:   PetscFunctionReturn(PETSC_SUCCESS);
5108: }

5110: /*@C
5111:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5112:   `SNES` options in the database.

5114:   Not Collective

5116:   Input Parameter:
5117: . snes - the `SNES` context

5119:   Output Parameter:
5120: . prefix - pointer to the prefix string used

5122:   Level: advanced

5124:   Fortran Note:
5125:   The user should pass in a string 'prefix' of
5126:   sufficient length to hold the prefix.

5128: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5129: @*/
5130: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5131: {
5132:   PetscFunctionBegin;
5134:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5135:   PetscFunctionReturn(PETSC_SUCCESS);
5136: }

5138: /*@C
5139:   SNESRegister - Adds a method to the nonlinear solver package.

5141:   Not Collective

5143:   Input Parameters:
5144: + sname    - name of a new user-defined solver
5145: - function - routine to create method context

5147:   Level: advanced

5149:   Note:
5150:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5152:   Example Usage:
5153: .vb
5154:    SNESRegister("my_solver", MySolverCreate);
5155: .ve

5157:   Then, your solver can be chosen with the procedural interface via
5158: $     SNESSetType(snes, "my_solver")
5159:   or at runtime via the option
5160: $     -snes_type my_solver

5162: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5163: @*/
5164: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5165: {
5166:   PetscFunctionBegin;
5167:   PetscCall(SNESInitializePackage());
5168:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5169:   PetscFunctionReturn(PETSC_SUCCESS);
5170: }

5172: PetscErrorCode SNESTestLocalMin(SNES snes)
5173: {
5174:   PetscInt    N, i, j;
5175:   Vec         u, uh, fh;
5176:   PetscScalar value;
5177:   PetscReal   norm;

5179:   PetscFunctionBegin;
5180:   PetscCall(SNESGetSolution(snes, &u));
5181:   PetscCall(VecDuplicate(u, &uh));
5182:   PetscCall(VecDuplicate(u, &fh));

5184:   /* currently only works for sequential */
5185:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5186:   PetscCall(VecGetSize(u, &N));
5187:   for (i = 0; i < N; i++) {
5188:     PetscCall(VecCopy(u, uh));
5189:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5190:     for (j = -10; j < 11; j++) {
5191:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5192:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5193:       PetscCall(SNESComputeFunction(snes, uh, fh));
5194:       PetscCall(VecNorm(fh, NORM_2, &norm));
5195:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5196:       value = -value;
5197:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5198:     }
5199:   }
5200:   PetscCall(VecDestroy(&uh));
5201:   PetscCall(VecDestroy(&fh));
5202:   PetscFunctionReturn(PETSC_SUCCESS);
5203: }

5205: /*@
5206:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5207:   computing relative tolerance for linear solvers within an inexact
5208:   Newton method.

5210:   Logically Collective

5212:   Input Parameters:
5213: + snes - `SNES` context
5214: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5216:   Options Database Keys:
5217: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5218: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5219: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5220: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5221: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5222: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5223: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5224: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5226:   Level: advanced

5228:   Note:
5229:   The default is to use a constant relative tolerance for
5230:   the inner linear solvers.  Alternatively, one can use the
5231:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5232:   is reset at each Newton iteration according progress of the nonlinear
5233:   solver.

5235: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5236: @*/
5237: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5238: {
5239:   PetscFunctionBegin;
5242:   snes->ksp_ewconv = flag;
5243:   PetscFunctionReturn(PETSC_SUCCESS);
5244: }

5246: /*@
5247:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5248:   for computing relative tolerance for linear solvers within an
5249:   inexact Newton method.

5251:   Not Collective

5253:   Input Parameter:
5254: . snes - `SNES` context

5256:   Output Parameter:
5257: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5259:   Level: advanced

5261: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5262: @*/
5263: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5264: {
5265:   PetscFunctionBegin;
5267:   PetscAssertPointer(flag, 2);
5268:   *flag = snes->ksp_ewconv;
5269:   PetscFunctionReturn(PETSC_SUCCESS);
5270: }

5272: /*@
5273:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5274:   convergence criteria for the linear solvers within an inexact
5275:   Newton method.

5277:   Logically Collective

5279:   Input Parameters:
5280: + snes      - `SNES` context
5281: . version   - version 1, 2 (default is 2), 3 or 4
5282: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5283: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5284: . gamma     - multiplicative factor for version 2 rtol computation
5285:              (0 <= gamma2 <= 1)
5286: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5287: . alpha2    - power for safeguard
5288: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5290:   Level: advanced

5292:   Notes:
5293:   Version 3 was contributed by Luis Chacon, June 2006.

5295:   Use `PETSC_DEFAULT` to retain the default for any of the parameters.

5297: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5298: @*/
5299: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5300: {
5301:   SNESKSPEW *kctx;

5303:   PetscFunctionBegin;
5305:   kctx = (SNESKSPEW *)snes->kspconvctx;
5306:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5315:   if (version != PETSC_DEFAULT) kctx->version = version;
5316:   if (rtol_0 != (PetscReal)PETSC_DEFAULT) kctx->rtol_0 = rtol_0;
5317:   if (rtol_max != (PetscReal)PETSC_DEFAULT) kctx->rtol_max = rtol_max;
5318:   if (gamma != (PetscReal)PETSC_DEFAULT) kctx->gamma = gamma;
5319:   if (alpha != (PetscReal)PETSC_DEFAULT) kctx->alpha = alpha;
5320:   if (alpha2 != (PetscReal)PETSC_DEFAULT) kctx->alpha2 = alpha2;
5321:   if (threshold != (PetscReal)PETSC_DEFAULT) kctx->threshold = threshold;

5323:   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);
5324:   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);
5325:   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);
5326:   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);
5327:   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);
5328:   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);
5329:   PetscFunctionReturn(PETSC_SUCCESS);
5330: }

5332: /*@
5333:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5334:   convergence criteria for the linear solvers within an inexact
5335:   Newton method.

5337:   Not Collective

5339:   Input Parameter:
5340: . snes - `SNES` context

5342:   Output Parameters:
5343: + version   - version 1, 2 (default is 2), 3 or 4
5344: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5345: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5346: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5347: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5348: . alpha2    - power for safeguard
5349: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5351:   Level: advanced

5353: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5354: @*/
5355: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5356: {
5357:   SNESKSPEW *kctx;

5359:   PetscFunctionBegin;
5361:   kctx = (SNESKSPEW *)snes->kspconvctx;
5362:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5363:   if (version) *version = kctx->version;
5364:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5365:   if (rtol_max) *rtol_max = kctx->rtol_max;
5366:   if (gamma) *gamma = kctx->gamma;
5367:   if (alpha) *alpha = kctx->alpha;
5368:   if (alpha2) *alpha2 = kctx->alpha2;
5369:   if (threshold) *threshold = kctx->threshold;
5370:   PetscFunctionReturn(PETSC_SUCCESS);
5371: }

5373: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5374: {
5375:   SNES       snes = (SNES)ctx;
5376:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5377:   PetscReal  rtol = PETSC_DEFAULT, stol;

5379:   PetscFunctionBegin;
5380:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5381:   if (!snes->iter) {
5382:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5383:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5384:   } else {
5385:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5386:     if (kctx->version == 1) {
5387:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5388:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5389:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5390:     } else if (kctx->version == 2) {
5391:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5392:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5393:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5394:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5395:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5396:       /* safeguard: avoid sharp decrease of rtol */
5397:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5398:       stol = PetscMax(rtol, stol);
5399:       rtol = PetscMin(kctx->rtol_0, stol);
5400:       /* safeguard: avoid oversolving */
5401:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5402:       stol = PetscMax(rtol, stol);
5403:       rtol = PetscMin(kctx->rtol_0, stol);
5404:     } else /* if (kctx->version == 4) */ {
5405:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5406:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5407:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5408:       PetscReal rk   = ared / pred;
5409:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5410:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5411:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5412:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5414:       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;
5415:       kctx->rtol_last_2 = kctx->rtol_last;
5416:       kctx->rk_last_2   = kctx->rk_last;
5417:       kctx->rk_last     = rk;
5418:     }
5419:   }
5420:   /* safeguard: avoid rtol greater than rtol_max */
5421:   rtol = PetscMin(rtol, kctx->rtol_max);
5422:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT));
5423:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5424:   PetscFunctionReturn(PETSC_SUCCESS);
5425: }

5427: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5428: {
5429:   SNES       snes = (SNES)ctx;
5430:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5431:   PCSide     pcside;
5432:   Vec        lres;

5434:   PetscFunctionBegin;
5435:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5436:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5437:   kctx->norm_last = snes->norm;
5438:   if (kctx->version == 1 || kctx->version == 4) {
5439:     PC        pc;
5440:     PetscBool getRes;

5442:     PetscCall(KSPGetPC(ksp, &pc));
5443:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5444:     if (!getRes) {
5445:       KSPNormType normtype;

5447:       PetscCall(KSPGetNormType(ksp, &normtype));
5448:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5449:     }
5450:     PetscCall(KSPGetPCSide(ksp, &pcside));
5451:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5452:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5453:     } else {
5454:       /* KSP residual is preconditioned residual */
5455:       /* compute true linear residual norm */
5456:       Mat J;
5457:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5458:       PetscCall(VecDuplicate(b, &lres));
5459:       PetscCall(MatMult(J, x, lres));
5460:       PetscCall(VecAYPX(lres, -1.0, b));
5461:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5462:       PetscCall(VecDestroy(&lres));
5463:     }
5464:   }
5465:   PetscFunctionReturn(PETSC_SUCCESS);
5466: }

5468: /*@
5469:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5471:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5473:   Input Parameter:
5474: . snes - the `SNES` context

5476:   Output Parameter:
5477: . ksp - the `KSP` context

5479:   Level: beginner

5481:   Notes:
5482:   The user can then directly manipulate the `KSP` context to set various
5483:   options, etc.  Likewise, the user can then extract and manipulate the
5484:   `PC` contexts as well.

5486:   Some `SNESType`s do not use a `KSP` but a `KSP` is still returned by this function

5488: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5489: @*/
5490: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5491: {
5492:   PetscFunctionBegin;
5494:   PetscAssertPointer(ksp, 2);

5496:   if (!snes->ksp) {
5497:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5498:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5500:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5501:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5503:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5504:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5505:   }
5506:   *ksp = snes->ksp;
5507:   PetscFunctionReturn(PETSC_SUCCESS);
5508: }

5510: #include <petsc/private/dmimpl.h>
5511: /*@
5512:   SNESSetDM - Sets the `DM` that may be used by some nonlinear solvers or their underlying preconditioners

5514:   Logically Collective

5516:   Input Parameters:
5517: + snes - the nonlinear solver context
5518: - dm   - the `DM`, cannot be `NULL`

5520:   Level: intermediate

5522:   Note:
5523:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5524:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5525:   problems using the same function space.

5527: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5528: @*/
5529: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5530: {
5531:   KSP    ksp;
5532:   DMSNES sdm;

5534:   PetscFunctionBegin;
5537:   PetscCall(PetscObjectReference((PetscObject)dm));
5538:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5539:     if (snes->dm->dmsnes && !dm->dmsnes) {
5540:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5541:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5542:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5543:     }
5544:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5545:     PetscCall(DMDestroy(&snes->dm));
5546:   }
5547:   snes->dm     = dm;
5548:   snes->dmAuto = PETSC_FALSE;

5550:   PetscCall(SNESGetKSP(snes, &ksp));
5551:   PetscCall(KSPSetDM(ksp, dm));
5552:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5553:   if (snes->npc) {
5554:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5555:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5556:   }
5557:   PetscFunctionReturn(PETSC_SUCCESS);
5558: }

5560: /*@
5561:   SNESGetDM - Gets the `DM` that may be used by some solvers/preconditioners

5563:   Not Collective but dm obtained is parallel on snes

5565:   Input Parameter:
5566: . snes - the `SNES` context

5568:   Output Parameter:
5569: . dm - the `DM`

5571:   Level: intermediate

5573: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5574: @*/
5575: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5576: {
5577:   PetscFunctionBegin;
5579:   if (!snes->dm) {
5580:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5581:     snes->dmAuto = PETSC_TRUE;
5582:   }
5583:   *dm = snes->dm;
5584:   PetscFunctionReturn(PETSC_SUCCESS);
5585: }

5587: /*@
5588:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5590:   Collective

5592:   Input Parameters:
5593: + snes - iterative context obtained from `SNESCreate()`
5594: - npc  - the nonlinear preconditioner object

5596:   Level: developer

5598:   Notes:
5599:   Use `SNESGetNPC()` to retrieve the preconditioner context (for example,
5600:   to configure it using the API).

5602:   Only some `SNESType` can use a nonlinear preconditioner

5604: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5605: @*/
5606: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5607: {
5608:   PetscFunctionBegin;
5611:   PetscCheckSameComm(snes, 1, npc, 2);
5612:   PetscCall(PetscObjectReference((PetscObject)npc));
5613:   PetscCall(SNESDestroy(&snes->npc));
5614:   snes->npc = npc;
5615:   PetscFunctionReturn(PETSC_SUCCESS);
5616: }

5618: /*@
5619:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5621:   Not Collective; but any changes to the obtained the npc object must be applied collectively

5623:   Input Parameter:
5624: . snes - iterative context obtained from `SNESCreate()`

5626:   Output Parameter:
5627: . pc - preconditioner context

5629:   Options Database Key:
5630: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5632:   Level: developer

5634:   Notes:
5635:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created.

5637:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5638:   `SNES`

5640: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5641: @*/
5642: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5643: {
5644:   const char *optionsprefix;

5646:   PetscFunctionBegin;
5648:   PetscAssertPointer(pc, 2);
5649:   if (!snes->npc) {
5650:     void *ctx;

5652:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5653:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5654:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5655:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5656:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5657:     if (snes->ops->usercompute) {
5658:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->usercompute, snes->ops->userdestroy));
5659:     } else {
5660:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5661:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5662:     }
5663:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5664:   }
5665:   *pc = snes->npc;
5666:   PetscFunctionReturn(PETSC_SUCCESS);
5667: }

5669: /*@
5670:   SNESHasNPC - Returns whether a nonlinear preconditioner exists

5672:   Not Collective

5674:   Input Parameter:
5675: . snes - iterative context obtained from `SNESCreate()`

5677:   Output Parameter:
5678: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5680:   Level: developer

5682: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5683: @*/
5684: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5685: {
5686:   PetscFunctionBegin;
5688:   *has_npc = (PetscBool)(snes->npc ? PETSC_TRUE : PETSC_FALSE);
5689:   PetscFunctionReturn(PETSC_SUCCESS);
5690: }

5692: /*@
5693:   SNESSetNPCSide - Sets the nonlinear preconditioning side.

5695:   Logically Collective

5697:   Input Parameter:
5698: . snes - iterative context obtained from `SNESCreate()`

5700:   Output Parameter:
5701: . side - the preconditioning side, where side is one of
5702: .vb
5703:       PC_LEFT - left preconditioning
5704:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5705: .ve

5707:   Options Database Key:
5708: . -snes_npc_side <right,left> - nonlinear preconditioner side

5710:   Level: intermediate

5712:   Note:
5713:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5715: .seealso: [](ch_snes), `SNES`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5716: @*/
5717: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5718: {
5719:   PetscFunctionBegin;
5722:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5723:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5724:   snes->npcside = side;
5725:   PetscFunctionReturn(PETSC_SUCCESS);
5726: }

5728: /*@
5729:   SNESGetNPCSide - Gets the preconditioning side.

5731:   Not Collective

5733:   Input Parameter:
5734: . snes - iterative context obtained from `SNESCreate()`

5736:   Output Parameter:
5737: . side - the preconditioning side, where side is one of
5738: .vb
5739:       `PC_LEFT` - left preconditioning
5740:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5741: .ve

5743:   Level: intermediate

5745: .seealso: [](ch_snes), `SNES`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5746: @*/
5747: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5748: {
5749:   PetscFunctionBegin;
5751:   PetscAssertPointer(side, 2);
5752:   *side = snes->npcside;
5753:   PetscFunctionReturn(PETSC_SUCCESS);
5754: }

5756: /*@
5757:   SNESSetLineSearch - Sets the linesearch to be used for `SNES`

5759:   Collective

5761:   Input Parameters:
5762: + snes       - iterative context obtained from `SNESCreate()`
5763: - linesearch - the linesearch object

5765:   Level: developer

5767:   Note:
5768:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5769:   to configure it using the API).

5771: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5772: @*/
5773: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5774: {
5775:   PetscFunctionBegin;
5778:   PetscCheckSameComm(snes, 1, linesearch, 2);
5779:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5780:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5782:   snes->linesearch = linesearch;
5783:   PetscFunctionReturn(PETSC_SUCCESS);
5784: }

5786: /*@
5787:   SNESGetLineSearch - Returns the line search context possibly set with `SNESSetLineSearch()`
5788:   or creates a default line search instance associated with the `SNES` and returns it.

5790:   Not Collective

5792:   Input Parameter:
5793: . snes - iterative context obtained from `SNESCreate()`

5795:   Output Parameter:
5796: . linesearch - linesearch context

5798:   Level: beginner

5800: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`
5801: @*/
5802: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5803: {
5804:   const char *optionsprefix;

5806:   PetscFunctionBegin;
5808:   PetscAssertPointer(linesearch, 2);
5809:   if (!snes->linesearch) {
5810:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5811:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5812:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5813:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5814:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5815:   }
5816:   *linesearch = snes->linesearch;
5817:   PetscFunctionReturn(PETSC_SUCCESS);
5818: }