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:   Vec             X, Xnamed = NULL;
685:   DM              dmsave;
686:   void           *ctxsave;
687:   SNESJacobianFn *jac = NULL;

689:   PetscFunctionBegin;
690:   dmsave = snes->dm;
691:   PetscCall(KSPGetDM(ksp, &snes->dm));
692:   if (dmsave == snes->dm) X = snes->vec_sol; /* We are on the finest level */
693:   else { /* We are on a coarser level, this vec was initialized using a DM restrict hook */ PetscCall(DMGetNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
694:     X = Xnamed;
695:     PetscCall(SNESGetJacobian(snes, NULL, NULL, &jac, &ctxsave));
696:     /* If the DM's don't match up, the MatFDColoring context needed for the jacobian won't match up either -- fixit. */
697:     if (jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, SNESComputeJacobianDefaultColor, NULL));
698:   }
699:   /* Make sure KSP DM has the Jacobian computation routine */
700:   {
701:     DMSNES sdm;

703:     PetscCall(DMGetDMSNES(snes->dm, &sdm));
704:     if (!sdm->ops->computejacobian) PetscCall(DMCopyDMSNES(dmsave, snes->dm));
705:   }
706:   /* Compute the operators */
707:   PetscCall(SNESComputeJacobian(snes, X, A, B));
708:   /* Put the previous context back */
709:   if (snes->dm != dmsave && jac == SNESComputeJacobianDefaultColor) PetscCall(SNESSetJacobian(snes, NULL, NULL, jac, ctxsave));

711:   if (Xnamed) PetscCall(DMRestoreNamedGlobalVector(snes->dm, "SNESVecSol", &Xnamed));
712:   snes->dm = dmsave;
713:   PetscFunctionReturn(PETSC_SUCCESS);
714: }

716: /*@
717:   SNESSetUpMatrices - ensures that matrices are available for `SNES` Newton-like methods, this is called by `SNESSetUp_XXX()`

719:   Collective

721:   Input Parameter:
722: . snes - `SNES` object to configure

724:   Level: developer

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

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

734: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
735: @*/
736: PetscErrorCode SNESSetUpMatrices(SNES snes)
737: {
738:   DM     dm;
739:   DMSNES sdm;

741:   PetscFunctionBegin;
742:   PetscCall(SNESGetDM(snes, &dm));
743:   PetscCall(DMGetDMSNES(dm, &sdm));
744:   if (!snes->jacobian && snes->mf && !snes->mf_operator && !snes->jacobian_pre) {
745:     Mat   J;
746:     void *functx;
747:     PetscCall(MatCreateSNESMF(snes, &J));
748:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
749:     PetscCall(MatSetFromOptions(J));
750:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
751:     PetscCall(SNESSetJacobian(snes, J, J, NULL, NULL));
752:     PetscCall(MatDestroy(&J));
753:   } else if (snes->mf_operator && !snes->jacobian_pre && !snes->jacobian) {
754:     Mat J, B;
755:     PetscCall(MatCreateSNESMF(snes, &J));
756:     PetscCall(MatMFFDSetOptionsPrefix(J, ((PetscObject)snes)->prefix));
757:     PetscCall(MatSetFromOptions(J));
758:     PetscCall(DMCreateMatrix(snes->dm, &B));
759:     /* sdm->computejacobian was already set to reach here */
760:     PetscCall(SNESSetJacobian(snes, J, B, NULL, NULL));
761:     PetscCall(MatDestroy(&J));
762:     PetscCall(MatDestroy(&B));
763:   } else if (!snes->jacobian_pre) {
764:     PetscDS   prob;
765:     Mat       J, B;
766:     PetscBool hasPrec = PETSC_FALSE;

768:     J = snes->jacobian;
769:     PetscCall(DMGetDS(dm, &prob));
770:     if (prob) PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
771:     if (J) PetscCall(PetscObjectReference((PetscObject)J));
772:     else if (hasPrec) PetscCall(DMCreateMatrix(snes->dm, &J));
773:     PetscCall(DMCreateMatrix(snes->dm, &B));
774:     PetscCall(SNESSetJacobian(snes, J ? J : B, B, NULL, NULL));
775:     PetscCall(MatDestroy(&J));
776:     PetscCall(MatDestroy(&B));
777:   }
778:   {
779:     KSP ksp;
780:     PetscCall(SNESGetKSP(snes, &ksp));
781:     PetscCall(KSPSetComputeOperators(ksp, KSPComputeOperators_SNES, snes));
782:     PetscCall(DMCoarsenHookAdd(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
783:   }
784:   PetscFunctionReturn(PETSC_SUCCESS);
785: }

787: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
788: {
789:   PetscInt i;

791:   PetscFunctionBegin;
792:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
793:   for (i = 0; i < snes->numbermonitors; ++i) {
794:     PetscViewerAndFormat *vf = (PetscViewerAndFormat *)snes->monitorcontext[i];
795:     PetscDraw             draw;
796:     PetscReal             lpause;

798:     if (!vf) continue;
799:     if (vf->lg) {
800:       if (!PetscCheckPointer(vf->lg, PETSC_OBJECT)) continue;
801:       if (((PetscObject)vf->lg)->classid != PETSC_DRAWLG_CLASSID) continue;
802:       PetscCall(PetscDrawLGGetDraw(vf->lg, &draw));
803:       PetscCall(PetscDrawGetPause(draw, &lpause));
804:       PetscCall(PetscDrawSetPause(draw, -1.0));
805:       PetscCall(PetscDrawPause(draw));
806:       PetscCall(PetscDrawSetPause(draw, lpause));
807:     } else {
808:       PetscBool isdraw;

810:       if (!PetscCheckPointer(vf->viewer, PETSC_OBJECT)) continue;
811:       if (((PetscObject)vf->viewer)->classid != PETSC_VIEWER_CLASSID) continue;
812:       PetscCall(PetscObjectTypeCompare((PetscObject)vf->viewer, PETSCVIEWERDRAW, &isdraw));
813:       if (!isdraw) continue;
814:       PetscCall(PetscViewerDrawGetDraw(vf->viewer, 0, &draw));
815:       PetscCall(PetscDrawGetPause(draw, &lpause));
816:       PetscCall(PetscDrawSetPause(draw, -1.0));
817:       PetscCall(PetscDrawPause(draw));
818:       PetscCall(PetscDrawSetPause(draw, lpause));
819:     }
820:   }
821:   PetscFunctionReturn(PETSC_SUCCESS);
822: }

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

827:   Collective

829:   Input Parameters:
830: + snes         - `SNES` object you wish to monitor
831: . name         - the monitor type one is seeking
832: . help         - message indicating what monitoring is done
833: . manual       - manual page for the monitor
834: . monitor      - the monitor function
835: - 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

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

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

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

850:   Level: advanced

852: .seealso: [](ch_snes), `PetscOptionsGetViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
853:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`
854:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
855:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
856:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
857:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
858:           `PetscOptionsFList()`, `PetscOptionsEList()`
859: @*/
860: 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))
861: {
862:   PetscViewer       viewer;
863:   PetscViewerFormat format;
864:   PetscBool         flg;

866:   PetscFunctionBegin;
867:   PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, name, &viewer, &format, &flg));
868:   if (flg) {
869:     PetscViewerAndFormat *vf;
870:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
871:     PetscCall(PetscOptionsRestoreViewer(&viewer));
872:     if (monitorsetup) PetscCall((*monitorsetup)(snes, vf));
873:     PetscCall(SNESMonitorSet(snes, (PetscErrorCode(*)(SNES, PetscInt, PetscReal, void *))monitor, vf, (PetscErrorCode(*)(void **))PetscViewerAndFormatDestroy));
874:   }
875:   PetscFunctionReturn(PETSC_SUCCESS);
876: }

878: PetscErrorCode SNESEWSetFromOptions_Private(SNESKSPEW *kctx, PetscBool print_api, MPI_Comm comm, const char *prefix)
879: {
880:   const char *api = print_api ? "SNESKSPSetParametersEW" : NULL;

882:   PetscFunctionBegin;
883:   PetscOptionsBegin(comm, prefix, "Eisenstat and Walker type forcing options", "KSP");
884:   PetscCall(PetscOptionsInt("-ksp_ew_version", "Version 1, 2 or 3", api, kctx->version, &kctx->version, NULL));
885:   PetscCall(PetscOptionsReal("-ksp_ew_rtol0", "0 <= rtol0 < 1", api, kctx->rtol_0, &kctx->rtol_0, NULL));
886:   kctx->rtol_max = PetscMax(kctx->rtol_0, kctx->rtol_max);
887:   PetscCall(PetscOptionsReal("-ksp_ew_rtolmax", "0 <= rtolmax < 1", api, kctx->rtol_max, &kctx->rtol_max, NULL));
888:   PetscCall(PetscOptionsReal("-ksp_ew_gamma", "0 <= gamma <= 1", api, kctx->gamma, &kctx->gamma, NULL));
889:   PetscCall(PetscOptionsReal("-ksp_ew_alpha", "1 < alpha <= 2", api, kctx->alpha, &kctx->alpha, NULL));
890:   PetscCall(PetscOptionsReal("-ksp_ew_alpha2", "alpha2", NULL, kctx->alpha2, &kctx->alpha2, NULL));
891:   PetscCall(PetscOptionsReal("-ksp_ew_threshold", "0 < threshold < 1", api, kctx->threshold, &kctx->threshold, NULL));
892:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p1", "p1", NULL, kctx->v4_p1, &kctx->v4_p1, NULL));
893:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p2", "p2", NULL, kctx->v4_p2, &kctx->v4_p2, NULL));
894:   PetscCall(PetscOptionsReal("-ksp_ew_v4_p3", "p3", NULL, kctx->v4_p3, &kctx->v4_p3, NULL));
895:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m1", "Scaling when rk-1 in [p2,p3)", NULL, kctx->v4_m1, &kctx->v4_m1, NULL));
896:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m2", "Scaling when rk-1 in [p3,+infty)", NULL, kctx->v4_m2, &kctx->v4_m2, NULL));
897:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m3", "Threshold for successive rtol (0.1 in Eq.7)", NULL, kctx->v4_m3, &kctx->v4_m3, NULL));
898:   PetscCall(PetscOptionsReal("-ksp_ew_v4_m4", "Adaptation scaling (0.5 in Eq.7)", NULL, kctx->v4_m4, &kctx->v4_m4, NULL));
899:   PetscOptionsEnd();
900:   PetscFunctionReturn(PETSC_SUCCESS);
901: }

903: /*@
904:   SNESSetFromOptions - Sets various `SNES` and `KSP` parameters from user options.

906:   Collective

908:   Input Parameter:
909: . snes - the `SNES` context

911:   Options Database Keys:
912: + -snes_type <type>                                                            - newtonls, newtontr, ngmres, ncg, nrichardson, qn, vi, fas, `SNESType` for complete list
913: . -snes_stol <stol>                                                            - convergence tolerance in terms of the norm of the change in the solution between steps
914: . -snes_atol <abstol>                                                          - absolute tolerance of residual norm
915: . -snes_rtol <rtol>                                                            - relative decrease in tolerance norm from initial
916: . -snes_divergence_tolerance <divtol>                                          - if the residual goes above divtol*rnorm0, exit with divergence
917: . -snes_force_iteration <force>                                                - force `SNESSolve()` to take at least one iteration
918: . -snes_max_it <max_it>                                                        - maximum number of iterations
919: . -snes_max_funcs <max_funcs>                                                  - maximum number of function evaluations
920: . -snes_max_fail <max_fail>                                                    - maximum number of line search failures allowed before stopping, default is none
921: . -snes_max_linear_solve_fail                                                  - number of linear solver failures before SNESSolve() stops
922: . -snes_lag_preconditioner <lag>                                               - how often preconditioner is rebuilt (use -1 to never rebuild)
923: . -snes_lag_preconditioner_persists <true,false>                               - retains the -snes_lag_preconditioner information across multiple SNESSolve()
924: . -snes_lag_jacobian <lag>                                                     - how often Jacobian is rebuilt (use -1 to never rebuild)
925: . -snes_lag_jacobian_persists <true,false>                                     - retains the -snes_lag_jacobian information across multiple SNESSolve()
926: . -snes_tr_tol <trtol>                                                         - trust region tolerance
927: . -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.
928: . -snes_monitor [ascii][:filename][:viewer format]                             - prints residual norm at each iteration. if no filename given prints to stdout
929: . -snes_monitor_solution [ascii binary draw][:filename][:viewer format]        - plots solution at each iteration
930: . -snes_monitor_residual [ascii binary draw][:filename][:viewer format]        - plots residual (not its norm) at each iteration
931: . -snes_monitor_solution_update [ascii binary draw][:filename][:viewer format] - plots update to solution at each iteration
932: . -snes_monitor_lg_residualnorm                                                - plots residual norm at each iteration
933: . -snes_monitor_lg_range                                                       - plots residual norm at each iteration
934: . -snes_monitor_pause_final                                                    - Pauses all monitor drawing after the solver ends
935: . -snes_fd                                                                     - use finite differences to compute Jacobian; very slow, only for testing
936: . -snes_fd_color                                                               - use finite differences with coloring to compute Jacobian
937: . -snes_mf_ksp_monitor                                                         - if using matrix-free multiply then print h at each `KSP` iteration
938: . -snes_converged_reason                                                       - print the reason for convergence/divergence after each solve
939: . -npc_snes_type <type>                                                        - the `SNES` type to use as a nonlinear preconditioner
940: . -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.
941: - -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.

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

953:   Level: beginner

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

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

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

975:   PetscFunctionBegin;
977:   PetscCall(SNESRegisterAll());
978:   PetscObjectOptionsBegin((PetscObject)snes);
979:   if (((PetscObject)snes)->type_name) deft = ((PetscObject)snes)->type_name;
980:   PetscCall(PetscOptionsFList("-snes_type", "Nonlinear solver method", "SNESSetType", SNESList, deft, type, 256, &flg));
981:   if (flg) {
982:     PetscCall(SNESSetType(snes, type));
983:   } else if (!((PetscObject)snes)->type_name) {
984:     PetscCall(SNESSetType(snes, deft));
985:   }
986:   PetscCall(PetscOptionsReal("-snes_stol", "Stop if step length less than", "SNESSetTolerances", snes->stol, &snes->stol, NULL));
987:   PetscCall(PetscOptionsReal("-snes_atol", "Stop if function norm less than", "SNESSetTolerances", snes->abstol, &snes->abstol, NULL));

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

999:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
1000:   if (flg) {
1001:     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");
1002:     PetscCall(SNESSetLagPreconditioner(snes, lag));
1003:   }
1004:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1005:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1006:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1007:   if (flg) {
1008:     PetscCheck(lag != -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_USER, "Cannot set the lag to -1 from the command line since the Jacobian must be built as least once, perhaps you mean -2");
1009:     PetscCall(SNESSetLagJacobian(snes, lag));
1010:   }
1011:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1012:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1014:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1015:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1017:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1018:   if (flg) {
1019:     switch (indx) {
1020:     case 0:
1021:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1022:       break;
1023:     case 1:
1024:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1025:       break;
1026:     case 2:
1027:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1028:       break;
1029:     }
1030:   }

1032:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1033:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1035:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1036:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1038:   kctx = (SNESKSPEW *)snes->kspconvctx;

1040:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1042:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1043:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1044:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1046:   flg = PETSC_FALSE;
1047:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1048:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1050:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1051:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1052:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1054:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1055:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1056:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1057:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1058:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1059:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1060:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1061:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1063:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1064:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1066:   flg = PETSC_FALSE;
1067:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1068:   if (flg) {
1069:     PetscViewer ctx;

1071:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1072:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscErrorCode(*)(void **))PetscViewerDestroy));
1073:   }

1075:   flg = PETSC_FALSE;
1076:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1077:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1079:   flg = PETSC_FALSE;
1080:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1081:   if (flg) {
1082:     void *functx;
1083:     DM    dm;
1084:     PetscCall(SNESGetDM(snes, &dm));
1085:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1086:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1087:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1088:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1089:   }

1091:   flg = PETSC_FALSE;
1092:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1093:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1095:   flg = PETSC_FALSE;
1096:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1097:   if (flg) {
1098:     DM dm;
1099:     PetscCall(SNESGetDM(snes, &dm));
1100:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1101:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1102:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1103:   }

1105:   flg = PETSC_FALSE;
1106:   PetscCall(PetscOptionsBool("-snes_mf_operator", "Use a Matrix-Free Jacobian with user-provided preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf_operator, &flg));
1107:   if (flg && snes->mf_operator) {
1108:     snes->mf_operator = PETSC_TRUE;
1109:     snes->mf          = PETSC_TRUE;
1110:   }
1111:   flg = PETSC_FALSE;
1112:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1113:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1114:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1116:   flg = PETSC_FALSE;
1117:   PetscCall(SNESGetNPCSide(snes, &pcside));
1118:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1119:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1121: #if defined(PETSC_HAVE_SAWS)
1122:   /*
1123:     Publish convergence information using SAWs
1124:   */
1125:   flg = PETSC_FALSE;
1126:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1127:   if (flg) {
1128:     void *ctx;
1129:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1130:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1131:   }
1132: #endif
1133: #if defined(PETSC_HAVE_SAWS)
1134:   {
1135:     PetscBool set;
1136:     flg = PETSC_FALSE;
1137:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1138:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1139:   }
1140: #endif

1142:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1144:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1146:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1147:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1148:   PetscOptionsEnd();

1150:   if (snes->linesearch) {
1151:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1152:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1153:   }

1155:   if (snes->usesksp) {
1156:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1157:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1158:     PetscCall(KSPSetFromOptions(snes->ksp));
1159:   }

1161:   /* if user has set the SNES NPC type via options database, create it. */
1162:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1163:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1164:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1165:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1166:   snes->setfromoptionscalled++;
1167:   PetscFunctionReturn(PETSC_SUCCESS);
1168: }

1170: /*@
1171:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1173:   Collective

1175:   Input Parameter:
1176: . snes - the `SNES` context

1178:   Level: advanced

1180: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1181: @*/
1182: PetscErrorCode SNESResetFromOptions(SNES snes)
1183: {
1184:   PetscFunctionBegin;
1185:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1186:   PetscFunctionReturn(PETSC_SUCCESS);
1187: }

1189: /*@C
1190:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1191:   the nonlinear solvers.

1193:   Logically Collective; No Fortran Support

1195:   Input Parameters:
1196: + snes    - the `SNES` context
1197: . compute - function to compute the context
1198: - destroy - function to destroy the context

1200:   Calling sequence of `compute`:
1201: + snes - the `SNES` context
1202: - ctx  - context to be computed

1204:   Calling sequence of `destroy`:
1205: . ctx - context to be computed by `compute()`

1207:   Level: intermediate

1209:   Note:
1210:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1212:   Use `SNESSetApplicationContext()` to see the context immediately

1214: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`
1215: @*/
1216: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, void **ctx), PetscErrorCode (*destroy)(void **ctx))
1217: {
1218:   PetscFunctionBegin;
1220:   snes->ops->usercompute = compute;
1221:   snes->ops->userdestroy = destroy;
1222:   PetscFunctionReturn(PETSC_SUCCESS);
1223: }

1225: /*@
1226:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1228:   Logically Collective

1230:   Input Parameters:
1231: + snes - the `SNES` context
1232: - usrP - optional user context

1234:   Level: intermediate

1236:   Notes:
1237:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian, or other evaluation function
1238:   with `SNESGetApplicationContext()`

1240:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1242:   Fortran Note:
1243:   You must write a Fortran interface definition for this
1244:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1246: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1247: @*/
1248: PetscErrorCode SNESSetApplicationContext(SNES snes, void *usrP)
1249: {
1250:   KSP ksp;

1252:   PetscFunctionBegin;
1254:   PetscCall(SNESGetKSP(snes, &ksp));
1255:   PetscCall(KSPSetApplicationContext(ksp, usrP));
1256:   snes->user = usrP;
1257:   PetscFunctionReturn(PETSC_SUCCESS);
1258: }

1260: /*@
1261:   SNESGetApplicationContext - Gets the user-defined context for the
1262:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1264:   Not Collective

1266:   Input Parameter:
1267: . snes - `SNES` context

1269:   Output Parameter:
1270: . usrP - user context

1272:   Level: intermediate

1274:   Fortran Note:
1275:   You must write a Fortran interface definition for this
1276:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1278: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1279: @*/
1280: PetscErrorCode SNESGetApplicationContext(SNES snes, void *usrP)
1281: {
1282:   PetscFunctionBegin;
1284:   *(void **)usrP = snes->user;
1285:   PetscFunctionReturn(PETSC_SUCCESS);
1286: }

1288: /*@
1289:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1291:   Logically Collective

1293:   Input Parameters:
1294: + snes        - `SNES` context
1295: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1296: - 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
1297:                 this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1299:   Options Database Keys:
1300: + -snes_mf_operator - use matrix-free only for the mat operator
1301: . -snes_mf          - use matrix-free for both the mat and pmat operator
1302: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1303: - -snes_fd          - compute the Jacobian via finite differences (slow)

1305:   Level: intermediate

1307:   Note:
1308:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1309:   and computing explicitly with
1310:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1312: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1313: @*/
1314: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1315: {
1316:   PetscFunctionBegin;
1320:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1321:   snes->mf_operator = mf_operator;
1322:   PetscFunctionReturn(PETSC_SUCCESS);
1323: }

1325: /*@
1326:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1328:   Not Collective, but the resulting flags will be the same on all MPI processes

1330:   Input Parameter:
1331: . snes - `SNES` context

1333:   Output Parameters:
1334: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1335: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1337:   Level: intermediate

1339: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1340: @*/
1341: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1342: {
1343:   PetscFunctionBegin;
1345:   if (mf) *mf = snes->mf;
1346:   if (mf_operator) *mf_operator = snes->mf_operator;
1347:   PetscFunctionReturn(PETSC_SUCCESS);
1348: }

1350: /*@
1351:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1353:   Not Collective

1355:   Input Parameter:
1356: . snes - `SNES` context

1358:   Output Parameter:
1359: . iter - iteration number

1361:   Level: intermediate

1363:   Notes:
1364:   For example, during the computation of iteration 2 this would return 1.

1366:   This is useful for using lagged Jacobians (where one does not recompute the
1367:   Jacobian at each `SNES` iteration). For example, the code
1368: .vb
1369:       ierr = SNESGetIterationNumber(snes,&it);
1370:       if (!(it % 2)) {
1371:         [compute Jacobian here]
1372:       }
1373: .ve
1374:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1375:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1377:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1379: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1380: @*/
1381: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1382: {
1383:   PetscFunctionBegin;
1385:   PetscAssertPointer(iter, 2);
1386:   *iter = snes->iter;
1387:   PetscFunctionReturn(PETSC_SUCCESS);
1388: }

1390: /*@
1391:   SNESSetIterationNumber - Sets the current iteration number.

1393:   Not Collective

1395:   Input Parameters:
1396: + snes - `SNES` context
1397: - iter - iteration number

1399:   Level: developer

1401:   Note:
1402:   This should only be called inside a `SNES` nonlinear solver.

1404: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1405: @*/
1406: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1407: {
1408:   PetscFunctionBegin;
1410:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1411:   snes->iter = iter;
1412:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1413:   PetscFunctionReturn(PETSC_SUCCESS);
1414: }

1416: /*@
1417:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1418:   attempted by the nonlinear solver in the current or most recent `SNESSolve()` .

1420:   Not Collective

1422:   Input Parameter:
1423: . snes - `SNES` context

1425:   Output Parameter:
1426: . nfails - number of unsuccessful steps attempted

1428:   Level: intermediate

1430:   Note:
1431:   This counter is reset to zero for each successive call to `SNESSolve()`.

1433: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1434:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1435: @*/
1436: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1437: {
1438:   PetscFunctionBegin;
1440:   PetscAssertPointer(nfails, 2);
1441:   *nfails = snes->numFailures;
1442:   PetscFunctionReturn(PETSC_SUCCESS);
1443: }

1445: /*@
1446:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1447:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1449:   Not Collective

1451:   Input Parameters:
1452: + snes     - `SNES` context
1453: - maxFails - maximum of unsuccessful steps

1455:   Options Database Key:
1456: . -snes_max_fail <n> - maximum number of unsuccessful steps allowed

1458:   Level: intermediate

1460:   Developer Note:
1461:   The options database key is wrong for this function name

1463: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1464:           `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1465: @*/
1466: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1467: {
1468:   PetscFunctionBegin;
1470:   snes->maxFailures = maxFails;
1471:   PetscFunctionReturn(PETSC_SUCCESS);
1472: }

1474: /*@
1475:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1476:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1478:   Not Collective

1480:   Input Parameter:
1481: . snes - `SNES` context

1483:   Output Parameter:
1484: . maxFails - maximum of unsuccessful steps

1486:   Level: intermediate

1488: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1489:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1490: @*/
1491: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1492: {
1493:   PetscFunctionBegin;
1495:   PetscAssertPointer(maxFails, 2);
1496:   *maxFails = snes->maxFailures;
1497:   PetscFunctionReturn(PETSC_SUCCESS);
1498: }

1500: /*@
1501:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1502:   done by the `SNES` object in the current or most recent `SNESSolve()`

1504:   Not Collective

1506:   Input Parameter:
1507: . snes - `SNES` context

1509:   Output Parameter:
1510: . nfuncs - number of evaluations

1512:   Level: intermediate

1514:   Note:
1515:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1517: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1518: @*/
1519: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1520: {
1521:   PetscFunctionBegin;
1523:   PetscAssertPointer(nfuncs, 2);
1524:   *nfuncs = snes->nfuncs;
1525:   PetscFunctionReturn(PETSC_SUCCESS);
1526: }

1528: /*@
1529:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1530:   linear solvers in the current or most recent `SNESSolve()`

1532:   Not Collective

1534:   Input Parameter:
1535: . snes - `SNES` context

1537:   Output Parameter:
1538: . nfails - number of failed solves

1540:   Options Database Key:
1541: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1543:   Level: intermediate

1545:   Note:
1546:   This counter is reset to zero for each successive call to `SNESSolve()`.

1548: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1549: @*/
1550: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1551: {
1552:   PetscFunctionBegin;
1554:   PetscAssertPointer(nfails, 2);
1555:   *nfails = snes->numLinearSolveFailures;
1556:   PetscFunctionReturn(PETSC_SUCCESS);
1557: }

1559: /*@
1560:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1561:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1563:   Logically Collective

1565:   Input Parameters:
1566: + snes     - `SNES` context
1567: - maxFails - maximum allowed linear solve failures

1569:   Options Database Key:
1570: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1572:   Level: intermediate

1574:   Note:
1575:   By default this is 0; that is `SNES` returns on the first failed linear solve

1577:   Developer Note:
1578:   The options database key is wrong for this function name

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

1591: /*@
1592:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1593:   are allowed before `SNES` returns as unsuccessful

1595:   Not Collective

1597:   Input Parameter:
1598: . snes - `SNES` context

1600:   Output Parameter:
1601: . maxFails - maximum of unsuccessful solves allowed

1603:   Level: intermediate

1605:   Note:
1606:   By default this is 1; that is `SNES` returns on the first failed linear solve

1608: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1609: @*/
1610: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1611: {
1612:   PetscFunctionBegin;
1614:   PetscAssertPointer(maxFails, 2);
1615:   *maxFails = snes->maxLinearSolveFailures;
1616:   PetscFunctionReturn(PETSC_SUCCESS);
1617: }

1619: /*@
1620:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1621:   used by the nonlinear solver in the most recent `SNESSolve()`

1623:   Not Collective

1625:   Input Parameter:
1626: . snes - `SNES` context

1628:   Output Parameter:
1629: . lits - number of linear iterations

1631:   Level: intermediate

1633:   Notes:
1634:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1636:   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
1637:   then call `KSPGetIterationNumber()` after the failed solve.

1639: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1640: @*/
1641: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1642: {
1643:   PetscFunctionBegin;
1645:   PetscAssertPointer(lits, 2);
1646:   *lits = snes->linear_its;
1647:   PetscFunctionReturn(PETSC_SUCCESS);
1648: }

1650: /*@
1651:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1652:   are reset every time `SNESSolve()` is called.

1654:   Logically Collective

1656:   Input Parameters:
1657: + snes  - `SNES` context
1658: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1660:   Level: developer

1662: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1663: @*/
1664: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1665: {
1666:   PetscFunctionBegin;
1669:   snes->counters_reset = reset;
1670:   PetscFunctionReturn(PETSC_SUCCESS);
1671: }

1673: /*@
1674:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1676:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1678:   Input Parameters:
1679: + snes - the `SNES` context
1680: - ksp  - the `KSP` context

1682:   Level: developer

1684:   Notes:
1685:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1686:   so this routine is rarely needed.

1688:   The `KSP` object that is already in the `SNES` object has its reference count
1689:   decreased by one when this is called.

1691: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1692: @*/
1693: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1694: {
1695:   PetscFunctionBegin;
1698:   PetscCheckSameComm(snes, 1, ksp, 2);
1699:   PetscCall(PetscObjectReference((PetscObject)ksp));
1700:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1701:   snes->ksp = ksp;
1702:   PetscFunctionReturn(PETSC_SUCCESS);
1703: }

1705: /*@
1706:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1708:   Collective

1710:   Input Parameter:
1711: . comm - MPI communicator

1713:   Output Parameter:
1714: . outsnes - the new `SNES` context

1716:   Options Database Keys:
1717: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no preconditioning matrix
1718: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided preconditioning matrix
1719:                       as set by `SNESSetJacobian()`
1720: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1721: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1723:   Level: beginner

1725:   Developer Notes:
1726:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1727:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1728:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1729:   in `SNESView()`.

1731:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1732:   by help messages about meaningless `SNES` options.

1734:   `SNES` always creates the snes->kspconvctx even though it is used by only one type. This should be fixed.

1736: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1737: @*/
1738: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1739: {
1740:   SNES       snes;
1741:   SNESKSPEW *kctx;

1743:   PetscFunctionBegin;
1744:   PetscAssertPointer(outsnes, 2);
1745:   *outsnes = NULL;
1746:   PetscCall(SNESInitializePackage());

1748:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));

1750:   snes->ops->converged       = SNESConvergedDefault;
1751:   snes->usesksp              = PETSC_TRUE;
1752:   snes->tolerancesset        = PETSC_FALSE;
1753:   snes->max_its              = 50;
1754:   snes->max_funcs            = 10000;
1755:   snes->norm                 = 0.0;
1756:   snes->xnorm                = 0.0;
1757:   snes->ynorm                = 0.0;
1758:   snes->normschedule         = SNES_NORM_ALWAYS;
1759:   snes->functype             = SNES_FUNCTION_DEFAULT;
1760:   snes->rtol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1761:   snes->ttol                 = 0.0;
1762:   snes->abstol               = PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50;
1763:   snes->stol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1764:   snes->deltatol             = PetscDefined(USE_REAL_SINGLE) ? 1.e-6 : 1.e-12;
1765:   snes->divtol               = 1.e4;
1766:   snes->rnorm0               = 0;
1767:   snes->nfuncs               = 0;
1768:   snes->numFailures          = 0;
1769:   snes->maxFailures          = 1;
1770:   snes->linear_its           = 0;
1771:   snes->lagjacobian          = 1;
1772:   snes->jac_iter             = 0;
1773:   snes->lagjac_persist       = PETSC_FALSE;
1774:   snes->lagpreconditioner    = 1;
1775:   snes->pre_iter             = 0;
1776:   snes->lagpre_persist       = PETSC_FALSE;
1777:   snes->numbermonitors       = 0;
1778:   snes->numberreasonviews    = 0;
1779:   snes->data                 = NULL;
1780:   snes->setupcalled          = PETSC_FALSE;
1781:   snes->ksp_ewconv           = PETSC_FALSE;
1782:   snes->nwork                = 0;
1783:   snes->work                 = NULL;
1784:   snes->nvwork               = 0;
1785:   snes->vwork                = NULL;
1786:   snes->conv_hist_len        = 0;
1787:   snes->conv_hist_max        = 0;
1788:   snes->conv_hist            = NULL;
1789:   snes->conv_hist_its        = NULL;
1790:   snes->conv_hist_reset      = PETSC_TRUE;
1791:   snes->counters_reset       = PETSC_TRUE;
1792:   snes->vec_func_init_set    = PETSC_FALSE;
1793:   snes->reason               = SNES_CONVERGED_ITERATING;
1794:   snes->npcside              = PC_RIGHT;
1795:   snes->setfromoptionscalled = 0;

1797:   snes->mf          = PETSC_FALSE;
1798:   snes->mf_operator = PETSC_FALSE;
1799:   snes->mf_version  = 1;

1801:   snes->numLinearSolveFailures = 0;
1802:   snes->maxLinearSolveFailures = 1;

1804:   snes->vizerotolerance     = 1.e-8;
1805:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1807:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1808:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1810:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1811:   PetscCall(PetscNew(&kctx));

1813:   snes->kspconvctx  = (void *)kctx;
1814:   kctx->version     = 2;
1815:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1816:                              this was too large for some test cases */
1817:   kctx->rtol_last   = 0.0;
1818:   kctx->rtol_max    = 0.9;
1819:   kctx->gamma       = 1.0;
1820:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1821:   kctx->alpha2      = kctx->alpha;
1822:   kctx->threshold   = 0.1;
1823:   kctx->lresid_last = 0.0;
1824:   kctx->norm_last   = 0.0;

1826:   kctx->rk_last     = 0.0;
1827:   kctx->rk_last_2   = 0.0;
1828:   kctx->rtol_last_2 = 0.0;
1829:   kctx->v4_p1       = 0.1;
1830:   kctx->v4_p2       = 0.4;
1831:   kctx->v4_p3       = 0.7;
1832:   kctx->v4_m1       = 0.8;
1833:   kctx->v4_m2       = 0.5;
1834:   kctx->v4_m3       = 0.1;
1835:   kctx->v4_m4       = 0.5;

1837:   *outsnes = snes;
1838:   PetscFunctionReturn(PETSC_SUCCESS);
1839: }

1841: /*@C
1842:   SNESSetFunction - Sets the function evaluation routine and function
1843:   vector for use by the `SNES` routines in solving systems of nonlinear
1844:   equations.

1846:   Logically Collective

1848:   Input Parameters:
1849: + snes - the `SNES` context
1850: . r    - vector to store function values, may be `NULL`
1851: . f    - function evaluation routine;  for calling sequence see `SNESFunctionFn`
1852: - ctx  - [optional] user-defined context for private data for the
1853:          function evaluation routine (may be `NULL`)

1855:   Level: beginner

1857: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetPicard()`, `SNESFunctionFn`
1858: @*/
1859: PetscErrorCode SNESSetFunction(SNES snes, Vec r, SNESFunctionFn *f, void *ctx)
1860: {
1861:   DM dm;

1863:   PetscFunctionBegin;
1865:   if (r) {
1867:     PetscCheckSameComm(snes, 1, r, 2);
1868:     PetscCall(PetscObjectReference((PetscObject)r));
1869:     PetscCall(VecDestroy(&snes->vec_func));
1870:     snes->vec_func = r;
1871:   }
1872:   PetscCall(SNESGetDM(snes, &dm));
1873:   PetscCall(DMSNESSetFunction(dm, f, ctx));
1874:   if (f == SNESPicardComputeFunction) PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
1875:   PetscFunctionReturn(PETSC_SUCCESS);
1876: }

1878: /*@C
1879:   SNESSetInitialFunction - Set an already computed function evaluation at the initial guess to be reused by `SNESSolve()`.

1881:   Logically Collective

1883:   Input Parameters:
1884: + snes - the `SNES` context
1885: - f    - vector to store function value

1887:   Level: developer

1889:   Notes:
1890:   This should not be modified during the solution procedure.

1892:   This is used extensively in the `SNESFAS` hierarchy and in nonlinear preconditioning.

1894: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetInitialFunctionNorm()`
1895: @*/
1896: PetscErrorCode SNESSetInitialFunction(SNES snes, Vec f)
1897: {
1898:   Vec vec_func;

1900:   PetscFunctionBegin;
1903:   PetscCheckSameComm(snes, 1, f, 2);
1904:   if (snes->npcside == PC_LEFT && snes->functype == SNES_FUNCTION_PRECONDITIONED) {
1905:     snes->vec_func_init_set = PETSC_FALSE;
1906:     PetscFunctionReturn(PETSC_SUCCESS);
1907:   }
1908:   PetscCall(SNESGetFunction(snes, &vec_func, NULL, NULL));
1909:   PetscCall(VecCopy(f, vec_func));

1911:   snes->vec_func_init_set = PETSC_TRUE;
1912:   PetscFunctionReturn(PETSC_SUCCESS);
1913: }

1915: /*@
1916:   SNESSetNormSchedule - Sets the `SNESNormSchedule` used in convergence and monitoring
1917:   of the `SNES` method, when norms are computed in the solving process

1919:   Logically Collective

1921:   Input Parameters:
1922: + snes         - the `SNES` context
1923: - normschedule - the frequency of norm computation

1925:   Options Database Key:
1926: . -snes_norm_schedule <none, always, initialonly, finalonly, initialfinalonly> - set the schedule

1928:   Level: advanced

1930:   Notes:
1931:   Only certain `SNES` methods support certain `SNESNormSchedules`.  Most require evaluation
1932:   of the nonlinear function and the taking of its norm at every iteration to
1933:   even ensure convergence at all.  However, methods such as custom Gauss-Seidel methods
1934:   `SNESNGS` and the like do not require the norm of the function to be computed, and therefore
1935:   may either be monitored for convergence or not.  As these are often used as nonlinear
1936:   preconditioners, monitoring the norm of their error is not a useful enterprise within
1937:   their solution.

1939: .seealso: [](ch_snes), `SNESNormSchedule`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`
1940: @*/
1941: PetscErrorCode SNESSetNormSchedule(SNES snes, SNESNormSchedule normschedule)
1942: {
1943:   PetscFunctionBegin;
1945:   snes->normschedule = normschedule;
1946:   PetscFunctionReturn(PETSC_SUCCESS);
1947: }

1949: /*@
1950:   SNESGetNormSchedule - Gets the `SNESNormSchedule` used in convergence and monitoring
1951:   of the `SNES` method.

1953:   Logically Collective

1955:   Input Parameters:
1956: + snes         - the `SNES` context
1957: - normschedule - the type of the norm used

1959:   Level: advanced

1961: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
1962: @*/
1963: PetscErrorCode SNESGetNormSchedule(SNES snes, SNESNormSchedule *normschedule)
1964: {
1965:   PetscFunctionBegin;
1967:   *normschedule = snes->normschedule;
1968:   PetscFunctionReturn(PETSC_SUCCESS);
1969: }

1971: /*@
1972:   SNESSetFunctionNorm - Sets the last computed residual norm.

1974:   Logically Collective

1976:   Input Parameters:
1977: + snes - the `SNES` context
1978: - norm - the value of the norm

1980:   Level: developer

1982: .seealso: [](ch_snes), `SNES`, `SNESGetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
1983: @*/
1984: PetscErrorCode SNESSetFunctionNorm(SNES snes, PetscReal norm)
1985: {
1986:   PetscFunctionBegin;
1988:   snes->norm = norm;
1989:   PetscFunctionReturn(PETSC_SUCCESS);
1990: }

1992: /*@
1993:   SNESGetFunctionNorm - Gets the last computed norm of the residual

1995:   Not Collective

1997:   Input Parameter:
1998: . snes - the `SNES` context

2000:   Output Parameter:
2001: . norm - the last computed residual norm

2003:   Level: developer

2005: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2006: @*/
2007: PetscErrorCode SNESGetFunctionNorm(SNES snes, PetscReal *norm)
2008: {
2009:   PetscFunctionBegin;
2011:   PetscAssertPointer(norm, 2);
2012:   *norm = snes->norm;
2013:   PetscFunctionReturn(PETSC_SUCCESS);
2014: }

2016: /*@
2017:   SNESGetUpdateNorm - Gets the last computed norm of the solution update

2019:   Not Collective

2021:   Input Parameter:
2022: . snes - the `SNES` context

2024:   Output Parameter:
2025: . ynorm - the last computed update norm

2027:   Level: developer

2029:   Note:
2030:   The new solution is the current solution plus the update, so this norm is an indication of the size of the update

2032: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`
2033: @*/
2034: PetscErrorCode SNESGetUpdateNorm(SNES snes, PetscReal *ynorm)
2035: {
2036:   PetscFunctionBegin;
2038:   PetscAssertPointer(ynorm, 2);
2039:   *ynorm = snes->ynorm;
2040:   PetscFunctionReturn(PETSC_SUCCESS);
2041: }

2043: /*@
2044:   SNESGetSolutionNorm - Gets the last computed norm of the solution

2046:   Not Collective

2048:   Input Parameter:
2049: . snes - the `SNES` context

2051:   Output Parameter:
2052: . xnorm - the last computed solution norm

2054:   Level: developer

2056: .seealso: [](ch_snes), `SNES`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `SNESGetFunctionNorm()`, `SNESGetUpdateNorm()`
2057: @*/
2058: PetscErrorCode SNESGetSolutionNorm(SNES snes, PetscReal *xnorm)
2059: {
2060:   PetscFunctionBegin;
2062:   PetscAssertPointer(xnorm, 2);
2063:   *xnorm = snes->xnorm;
2064:   PetscFunctionReturn(PETSC_SUCCESS);
2065: }

2067: /*@C
2068:   SNESSetFunctionType - Sets the `SNESFunctionType`
2069:   of the `SNES` method.

2071:   Logically Collective

2073:   Input Parameters:
2074: + snes - the `SNES` context
2075: - type - the function type

2077:   Level: developer

2079:   Values of the function type\:
2080: +  `SNES_FUNCTION_DEFAULT`          - the default for the given `SNESType`
2081: .  `SNES_FUNCTION_UNPRECONDITIONED` - an unpreconditioned function evaluation (this is the function provided with `SNESSetFunction()`
2082: -  `SNES_FUNCTION_PRECONDITIONED`   - a transformation of the function provided with `SNESSetFunction()`

2084:   Note:
2085:   Different `SNESType`s use this value in different ways

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

2097: /*@C
2098:   SNESGetFunctionType - Gets the `SNESFunctionType` used in convergence and monitoring set with `SNESSetFunctionType()`
2099:   of the SNES method.

2101:   Logically Collective

2103:   Input Parameters:
2104: + snes - the `SNES` context
2105: - type - the type of the function evaluation, see `SNESSetFunctionType()`

2107:   Level: advanced

2109: .seealso: [](ch_snes), `SNESSetFunctionType()`, `SNESFunctionType`, `SNESSetNormSchedule()`, `SNESComputeFunction()`, `VecNorm()`, `SNESSetFunction()`, `SNESSetInitialFunction()`, `SNESNormSchedule`
2110: @*/
2111: PetscErrorCode SNESGetFunctionType(SNES snes, SNESFunctionType *type)
2112: {
2113:   PetscFunctionBegin;
2115:   *type = snes->functype;
2116:   PetscFunctionReturn(PETSC_SUCCESS);
2117: }

2119: /*@C
2120:   SNESSetNGS - Sets the user nonlinear Gauss-Seidel routine for
2121:   use with composed nonlinear solvers.

2123:   Input Parameters:
2124: + snes - the `SNES` context, usually of the `SNESType` `SNESNGS`
2125: . f    - function evaluation routine to apply Gauss-Seidel, see `SNESNGSFn` for calling sequence
2126: - ctx  - [optional] user-defined context for private data for the
2127:             smoother evaluation routine (may be `NULL`)

2129:   Level: intermediate

2131:   Note:
2132:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2133:   a problem appropriate update to the solution, particularly `SNESFAS`.

2135: .seealso: [](ch_snes), `SNESNGS`, `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`, `SNESNGSFn`
2136: @*/
2137: PetscErrorCode SNESSetNGS(SNES snes, SNESNGSFn *f, void *ctx)
2138: {
2139:   DM dm;

2141:   PetscFunctionBegin;
2143:   PetscCall(SNESGetDM(snes, &dm));
2144:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2145:   PetscFunctionReturn(PETSC_SUCCESS);
2146: }

2148: /*
2149:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2150:    changed during the KSPSolve()
2151: */
2152: PetscErrorCode SNESPicardComputeMFFunction(SNES snes, Vec x, Vec f, void *ctx)
2153: {
2154:   DM     dm;
2155:   DMSNES sdm;

2157:   PetscFunctionBegin;
2158:   PetscCall(SNESGetDM(snes, &dm));
2159:   PetscCall(DMGetDMSNES(dm, &sdm));
2160:   /*  A(x)*x - b(x) */
2161:   if (sdm->ops->computepfunction) {
2162:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2163:     PetscCall(VecScale(f, -1.0));
2164:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2165:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2166:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2167:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2168:   } else {
2169:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2170:     PetscCall(MatMult(snes->picard, x, f));
2171:   }
2172:   PetscFunctionReturn(PETSC_SUCCESS);
2173: }

2175: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, void *ctx)
2176: {
2177:   DM     dm;
2178:   DMSNES sdm;

2180:   PetscFunctionBegin;
2181:   PetscCall(SNESGetDM(snes, &dm));
2182:   PetscCall(DMGetDMSNES(dm, &sdm));
2183:   /*  A(x)*x - b(x) */
2184:   if (sdm->ops->computepfunction) {
2185:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2186:     PetscCall(VecScale(f, -1.0));
2187:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2188:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2189:   } else {
2190:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2191:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2192:   }
2193:   PetscFunctionReturn(PETSC_SUCCESS);
2194: }

2196: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, void *ctx)
2197: {
2198:   PetscFunctionBegin;
2199:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2200:   /* must assembly if matrix-free to get the last SNES solution */
2201:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2202:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2203:   PetscFunctionReturn(PETSC_SUCCESS);
2204: }

2206: /*@C
2207:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2209:   Logically Collective

2211:   Input Parameters:
2212: + snes - the `SNES` context
2213: . r    - vector to store function values, may be `NULL`
2214: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESFunctionFn`
2215: . Amat - matrix with which A(x) x - bp(x) - b is to be computed
2216: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2217: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFn`
2218: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2220:   Level: intermediate

2222:   Notes:
2223:   It is often better to provide the nonlinear function F() and some approximation to its Jacobian directly and use
2224:   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.

2226:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2228:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2229:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2231:   Run with `-snes_mf_operator` to solve the system with Newton's method using A(x^{n}) to construct the preconditioner.

2233:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2234:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2236:   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
2237:   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
2238:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2240:   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
2241:   A(x^{n}) is used to build the preconditioner

2243:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at a time) and thus represent Newton's method.

2245:   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
2246:   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
2247:   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`.
2248:   See the comment in src/snes/tutorials/ex15.c.

2250: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`,
2251:           `SNESFunctionFn`, `SNESJacobianFn`
2252: @*/
2253: PetscErrorCode SNESSetPicard(SNES snes, Vec r, SNESFunctionFn *bp, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
2254: {
2255:   DM dm;

2257:   PetscFunctionBegin;
2259:   PetscCall(SNESGetDM(snes, &dm));
2260:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2261:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2262:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2263:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2264:   PetscFunctionReturn(PETSC_SUCCESS);
2265: }

2267: /*@C
2268:   SNESGetPicard - Returns the context for the Picard iteration

2270:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2272:   Input Parameter:
2273: . snes - the `SNES` context

2275:   Output Parameters:
2276: + r    - the function (or `NULL`)
2277: . f    - the function (or `NULL`);  for calling sequence see `SNESFunctionFn`
2278: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2279: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2280: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFn`
2281: - ctx  - the function context (or `NULL`)

2283:   Level: advanced

2285: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunctionFn`, `SNESJacobianFn`
2286: @*/
2287: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, SNESFunctionFn **f, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
2288: {
2289:   DM dm;

2291:   PetscFunctionBegin;
2293:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2294:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2295:   PetscCall(SNESGetDM(snes, &dm));
2296:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2297:   PetscFunctionReturn(PETSC_SUCCESS);
2298: }

2300: /*@C
2301:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2303:   Logically Collective

2305:   Input Parameters:
2306: + snes - the `SNES` context
2307: . func - function evaluation routine, see `SNESInitialGuessFn` for the calling sequence
2308: - ctx  - [optional] user-defined context for private data for the
2309:          function evaluation routine (may be `NULL`)

2311:   Level: intermediate

2313: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESInitialGuessFn`
2314: @*/
2315: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, SNESInitialGuessFn *func, void *ctx)
2316: {
2317:   PetscFunctionBegin;
2319:   if (func) snes->ops->computeinitialguess = func;
2320:   if (ctx) snes->initialguessP = ctx;
2321:   PetscFunctionReturn(PETSC_SUCCESS);
2322: }

2324: /*@C
2325:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2326:   it assumes a zero right-hand side.

2328:   Logically Collective

2330:   Input Parameter:
2331: . snes - the `SNES` context

2333:   Output Parameter:
2334: . rhs - the right-hand side vector or `NULL` if there is no right-hand side vector

2336:   Level: intermediate

2338: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2339: @*/
2340: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2341: {
2342:   PetscFunctionBegin;
2344:   PetscAssertPointer(rhs, 2);
2345:   *rhs = snes->vec_rhs;
2346:   PetscFunctionReturn(PETSC_SUCCESS);
2347: }

2349: /*@
2350:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2352:   Collective

2354:   Input Parameters:
2355: + snes - the `SNES` context
2356: - x    - input vector

2358:   Output Parameter:
2359: . y - function vector, as set by `SNESSetFunction()`

2361:   Level: developer

2363:   Notes:
2364:   `SNESComputeFunction()` is typically used within nonlinear solvers
2365:   implementations, so users would not generally call this routine themselves.

2367:   When solving for $F(x) = b$, this routine computes $y = F(x) - b$.

2369: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`
2370: @*/
2371: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec y)
2372: {
2373:   DM     dm;
2374:   DMSNES sdm;

2376:   PetscFunctionBegin;
2380:   PetscCheckSameComm(snes, 1, x, 2);
2381:   PetscCheckSameComm(snes, 1, y, 3);
2382:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2384:   PetscCall(SNESGetDM(snes, &dm));
2385:   PetscCall(DMGetDMSNES(dm, &sdm));
2386:   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().");
2387:   if (sdm->ops->computefunction) {
2388:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2389:     PetscCall(VecLockReadPush(x));
2390:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2391:     snes->domainerror = PETSC_FALSE;
2392:     {
2393:       void           *ctx;
2394:       SNESFunctionFn *computefunction;
2395:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2396:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, y, ctx));
2397:     }
2398:     PetscCall(VecLockReadPop(x));
2399:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2400:   } else /* if (snes->vec_rhs) */ {
2401:     PetscCall(MatMult(snes->jacobian, x, y));
2402:   }
2403:   if (snes->vec_rhs) PetscCall(VecAXPY(y, -1.0, snes->vec_rhs));
2404:   snes->nfuncs++;
2405:   /*
2406:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2407:      propagate the value to all processes
2408:   */
2409:   if (snes->domainerror) PetscCall(VecSetInf(y));
2410:   PetscFunctionReturn(PETSC_SUCCESS);
2411: }

2413: /*@
2414:   SNESComputeMFFunction - Calls the function that has been set with `SNESSetMFFunction()`.

2416:   Collective

2418:   Input Parameters:
2419: + snes - the `SNES` context
2420: - x    - input vector

2422:   Output Parameter:
2423: . y - function vector, as set by `SNESSetMFFunction()`

2425:   Level: developer

2427:   Notes:
2428:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2429:   so users would not generally call this routine themselves.

2431:   Since this function is intended for use with finite differencing it does not subtract the right-hand side vector provided with `SNESSolve()`
2432:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2433:   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.

2435: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF`
2436: @*/
2437: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2438: {
2439:   DM     dm;
2440:   DMSNES sdm;

2442:   PetscFunctionBegin;
2446:   PetscCheckSameComm(snes, 1, x, 2);
2447:   PetscCheckSameComm(snes, 1, y, 3);
2448:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2450:   PetscCall(SNESGetDM(snes, &dm));
2451:   PetscCall(DMGetDMSNES(dm, &sdm));
2452:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2453:   PetscCall(VecLockReadPush(x));
2454:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2455:   snes->domainerror = PETSC_FALSE;
2456:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2457:   PetscCall(VecLockReadPop(x));
2458:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2459:   snes->nfuncs++;
2460:   /*
2461:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2462:      propagate the value to all processes
2463:   */
2464:   if (snes->domainerror) PetscCall(VecSetInf(y));
2465:   PetscFunctionReturn(PETSC_SUCCESS);
2466: }

2468: /*@
2469:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with `SNESSetNGS()`.

2471:   Collective

2473:   Input Parameters:
2474: + snes - the `SNES` context
2475: . x    - input vector
2476: - b    - rhs vector

2478:   Output Parameter:
2479: . x - new solution vector

2481:   Level: developer

2483:   Note:
2484:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2485:   implementations, so most users would not generally call this routine
2486:   themselves.

2488: .seealso: [](ch_snes), `SNESNGSFn`, `SNESSetNGS()`, `SNESComputeFunction()`, `SNESNGS`
2489: @*/
2490: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2491: {
2492:   DM     dm;
2493:   DMSNES sdm;

2495:   PetscFunctionBegin;
2499:   PetscCheckSameComm(snes, 1, x, 3);
2500:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2501:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2502:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2503:   PetscCall(SNESGetDM(snes, &dm));
2504:   PetscCall(DMGetDMSNES(dm, &sdm));
2505:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2506:   if (b) PetscCall(VecLockReadPush(b));
2507:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2508:   if (b) PetscCall(VecLockReadPop(b));
2509:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2510:   PetscFunctionReturn(PETSC_SUCCESS);
2511: }

2513: static PetscErrorCode SNESComputeFunction_FD(SNES snes, Vec Xin, Vec G)
2514: {
2515:   Vec          X;
2516:   PetscScalar *g;
2517:   PetscReal    f, f2;
2518:   PetscInt     low, high, N, i;
2519:   PetscBool    flg;
2520:   PetscReal    h = .5 * PETSC_SQRT_MACHINE_EPSILON;

2522:   PetscFunctionBegin;
2523:   PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fd_delta", &h, &flg));
2524:   PetscCall(VecDuplicate(Xin, &X));
2525:   PetscCall(VecCopy(Xin, X));
2526:   PetscCall(VecGetSize(X, &N));
2527:   PetscCall(VecGetOwnershipRange(X, &low, &high));
2528:   PetscCall(VecSetOption(X, VEC_IGNORE_OFF_PROC_ENTRIES, PETSC_TRUE));
2529:   PetscCall(VecGetArray(G, &g));
2530:   for (i = 0; i < N; i++) {
2531:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2532:     PetscCall(VecAssemblyBegin(X));
2533:     PetscCall(VecAssemblyEnd(X));
2534:     PetscCall(SNESComputeObjective(snes, X, &f));
2535:     PetscCall(VecSetValue(X, i, 2.0 * h, ADD_VALUES));
2536:     PetscCall(VecAssemblyBegin(X));
2537:     PetscCall(VecAssemblyEnd(X));
2538:     PetscCall(SNESComputeObjective(snes, X, &f2));
2539:     PetscCall(VecSetValue(X, i, -h, ADD_VALUES));
2540:     PetscCall(VecAssemblyBegin(X));
2541:     PetscCall(VecAssemblyEnd(X));
2542:     if (i >= low && i < high) g[i - low] = (f2 - f) / (2.0 * h);
2543:   }
2544:   PetscCall(VecRestoreArray(G, &g));
2545:   PetscCall(VecDestroy(&X));
2546:   PetscFunctionReturn(PETSC_SUCCESS);
2547: }

2549: PetscErrorCode SNESTestFunction(SNES snes)
2550: {
2551:   Vec               x, g1, g2, g3;
2552:   PetscBool         complete_print = PETSC_FALSE, test = PETSC_FALSE;
2553:   PetscReal         hcnorm, fdnorm, hcmax, fdmax, diffmax, diffnorm;
2554:   PetscScalar       dot;
2555:   MPI_Comm          comm;
2556:   PetscViewer       viewer, mviewer;
2557:   PetscViewerFormat format;
2558:   PetscInt          tabs;
2559:   static PetscBool  directionsprinted = PETSC_FALSE;
2560:   SNESObjectiveFn  *objective;

2562:   PetscFunctionBegin;
2563:   PetscCall(SNESGetObjective(snes, &objective, NULL));
2564:   if (!objective) PetscFunctionReturn(PETSC_SUCCESS);

2566:   PetscObjectOptionsBegin((PetscObject)snes);
2567:   PetscCall(PetscOptionsName("-snes_test_function", "Compare hand-coded and finite difference function", "None", &test));
2568:   PetscCall(PetscOptionsViewer("-snes_test_function_view", "View difference between hand-coded and finite difference function element entries", "None", &mviewer, &format, &complete_print));
2569:   PetscOptionsEnd();
2570:   if (!test) {
2571:     if (complete_print) PetscCall(PetscViewerDestroy(&mviewer));
2572:     PetscFunctionReturn(PETSC_SUCCESS);
2573:   }

2575:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2576:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2577:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2578:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2579:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Function -------------\n"));
2580:   if (!complete_print && !directionsprinted) {
2581:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_function_view and optionally -snes_test_function <threshold> to show difference\n"));
2582:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference function entries greater than <threshold>.\n"));
2583:   }
2584:   if (!directionsprinted) {
2585:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Function, if (for double precision runs) ||F - Ffd||/||F|| is\n"));
2586:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Function is probably correct.\n"));
2587:     directionsprinted = PETSC_TRUE;
2588:   }
2589:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2591:   PetscCall(SNESGetSolution(snes, &x));
2592:   PetscCall(VecDuplicate(x, &g1));
2593:   PetscCall(VecDuplicate(x, &g2));
2594:   PetscCall(VecDuplicate(x, &g3));
2595:   PetscCall(SNESComputeFunction(snes, x, g1));
2596:   PetscCall(SNESComputeFunction_FD(snes, x, g2));

2598:   PetscCall(VecNorm(g2, NORM_2, &fdnorm));
2599:   PetscCall(VecNorm(g1, NORM_2, &hcnorm));
2600:   PetscCall(VecNorm(g2, NORM_INFINITY, &fdmax));
2601:   PetscCall(VecNorm(g1, NORM_INFINITY, &hcmax));
2602:   PetscCall(VecDot(g1, g2, &dot));
2603:   PetscCall(VecCopy(g1, g3));
2604:   PetscCall(VecAXPY(g3, -1.0, g2));
2605:   PetscCall(VecNorm(g3, NORM_2, &diffnorm));
2606:   PetscCall(VecNorm(g3, NORM_INFINITY, &diffmax));
2607:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ||Ffd|| %g, ||F|| = %g, angle cosine = (Ffd'F)/||Ffd||||F|| = %g\n", (double)fdnorm, (double)hcnorm, (double)(PetscRealPart(dot) / (fdnorm * hcnorm))));
2608:   PetscCall(PetscViewerASCIIPrintf(viewer, "  2-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffnorm / PetscMax(hcnorm, fdnorm)), (double)diffnorm));
2609:   PetscCall(PetscViewerASCIIPrintf(viewer, "  max-norm ||F - Ffd||/||F|| = %g, ||F - Ffd|| = %g\n", (double)(diffmax / PetscMax(hcmax, fdmax)), (double)diffmax));

2611:   if (complete_print) {
2612:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded function ----------\n"));
2613:     PetscCall(VecView(g1, mviewer));
2614:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference function ----------\n"));
2615:     PetscCall(VecView(g2, mviewer));
2616:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference function ----------\n"));
2617:     PetscCall(VecView(g3, mviewer));
2618:   }
2619:   PetscCall(VecDestroy(&g1));
2620:   PetscCall(VecDestroy(&g2));
2621:   PetscCall(VecDestroy(&g3));

2623:   if (complete_print) {
2624:     PetscCall(PetscViewerPopFormat(mviewer));
2625:     PetscCall(PetscViewerDestroy(&mviewer));
2626:   }
2627:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2628:   PetscFunctionReturn(PETSC_SUCCESS);
2629: }

2631: PetscErrorCode SNESTestJacobian(SNES snes)
2632: {
2633:   Mat               A, B, C, D, jacobian;
2634:   Vec               x = snes->vec_sol, f;
2635:   PetscReal         nrm, gnorm;
2636:   PetscReal         threshold = 1.e-5;
2637:   MatType           mattype;
2638:   PetscInt          m, n, M, N;
2639:   void             *functx;
2640:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, test = PETSC_FALSE, flg, istranspose;
2641:   PetscViewer       viewer, mviewer;
2642:   MPI_Comm          comm;
2643:   PetscInt          tabs;
2644:   static PetscBool  directionsprinted = PETSC_FALSE;
2645:   PetscViewerFormat format;

2647:   PetscFunctionBegin;
2648:   PetscObjectOptionsBegin((PetscObject)snes);
2649:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &test));
2650:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2651:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2652:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2653:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2654:   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));
2655:   PetscOptionsEnd();
2656:   if (!test) PetscFunctionReturn(PETSC_SUCCESS);

2658:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2659:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2660:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2661:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2662:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2663:   if (!complete_print && !directionsprinted) {
2664:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2665:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2666:   }
2667:   if (!directionsprinted) {
2668:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2669:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2670:     directionsprinted = PETSC_TRUE;
2671:   }
2672:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2674:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2675:   if (!flg) jacobian = snes->jacobian;
2676:   else jacobian = snes->jacobian_pre;

2678:   if (!x) PetscCall(MatCreateVecs(jacobian, &x, NULL));
2679:   else PetscCall(PetscObjectReference((PetscObject)x));
2680:   PetscCall(VecDuplicate(x, &f));

2682:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2683:   PetscCall(SNESComputeFunction(snes, x, f));
2684:   PetscCall(VecDestroy(&f));
2685:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2686:   while (jacobian) {
2687:     Mat JT = NULL, Jsave = NULL;

2689:     if (istranspose) {
2690:       PetscCall(MatCreateTranspose(jacobian, &JT));
2691:       Jsave    = jacobian;
2692:       jacobian = JT;
2693:     }
2694:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2695:     if (flg) {
2696:       A = jacobian;
2697:       PetscCall(PetscObjectReference((PetscObject)A));
2698:     } else {
2699:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2700:     }

2702:     PetscCall(MatGetType(A, &mattype));
2703:     PetscCall(MatGetSize(A, &M, &N));
2704:     PetscCall(MatGetLocalSize(A, &m, &n));
2705:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2706:     PetscCall(MatSetType(B, mattype));
2707:     PetscCall(MatSetSizes(B, m, n, M, N));
2708:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2709:     PetscCall(MatSetUp(B));
2710:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2712:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2713:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2715:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2716:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2717:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2718:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2719:     PetscCall(MatDestroy(&D));
2720:     if (!gnorm) gnorm = 1; /* just in case */
2721:     PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));

2723:     if (complete_print) {
2724:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2725:       PetscCall(MatView(A, mviewer));
2726:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2727:       PetscCall(MatView(B, mviewer));
2728:     }

2730:     if (threshold_print || complete_print) {
2731:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2732:       PetscScalar       *cvals;
2733:       const PetscInt    *bcols;
2734:       const PetscScalar *bvals;

2736:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2737:       PetscCall(MatSetType(C, mattype));
2738:       PetscCall(MatSetSizes(C, m, n, M, N));
2739:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2740:       PetscCall(MatSetUp(C));
2741:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2743:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2744:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2746:       for (row = Istart; row < Iend; row++) {
2747:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2748:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2749:         for (j = 0, cncols = 0; j < bncols; j++) {
2750:           if (PetscAbsScalar(bvals[j]) > threshold) {
2751:             ccols[cncols] = bcols[j];
2752:             cvals[cncols] = bvals[j];
2753:             cncols += 1;
2754:           }
2755:         }
2756:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2757:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2758:         PetscCall(PetscFree2(ccols, cvals));
2759:       }
2760:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2761:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2762:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2763:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2764:       PetscCall(MatDestroy(&C));
2765:     }
2766:     PetscCall(MatDestroy(&A));
2767:     PetscCall(MatDestroy(&B));
2768:     PetscCall(MatDestroy(&JT));
2769:     if (Jsave) jacobian = Jsave;
2770:     if (jacobian != snes->jacobian_pre) {
2771:       jacobian = snes->jacobian_pre;
2772:       PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2773:     } else jacobian = NULL;
2774:   }
2775:   PetscCall(VecDestroy(&x));
2776:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2777:   if (mviewer) PetscCall(PetscOptionsRestoreViewer(&mviewer));
2778:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2779:   PetscFunctionReturn(PETSC_SUCCESS);
2780: }

2782: /*@
2783:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2785:   Collective

2787:   Input Parameters:
2788: + snes - the `SNES` context
2789: - X    - input vector

2791:   Output Parameters:
2792: + A - Jacobian matrix
2793: - B - optional matrix for building the preconditioner, usually the same as `A`

2795:   Options Database Keys:
2796: + -snes_lag_preconditioner <lag>           - how often to rebuild preconditioner
2797: . -snes_lag_jacobian <lag>                 - how often to rebuild Jacobian
2798: . -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.
2799: . -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
2800: . -snes_compare_explicit                   - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2801: . -snes_compare_explicit_draw              - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2802: . -snes_compare_explicit_contour           - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2803: . -snes_compare_operator                   - Make the comparison options above use the operator instead of the preconditioning matrix
2804: . -snes_compare_coloring                   - Compute the finite difference Jacobian using coloring and display norms of difference
2805: . -snes_compare_coloring_display           - Compute the finite difference Jacobian using coloring and display verbose differences
2806: . -snes_compare_coloring_threshold         - Display only those matrix entries that differ by more than a given threshold
2807: . -snes_compare_coloring_threshold_atol    - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2808: . -snes_compare_coloring_threshold_rtol    - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2809: . -snes_compare_coloring_draw              - Compute the finite difference Jacobian using coloring and draw differences
2810: - -snes_compare_coloring_draw_contour      - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2812:   Level: developer

2814:   Note:
2815:   Most users should not need to explicitly call this routine, as it
2816:   is used internally within the nonlinear solvers.

2818:   Developer Note:
2819:   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
2820:   with the `SNESType` of test that has been removed.

2822: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
2823: @*/
2824: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2825: {
2826:   PetscBool flag;
2827:   DM        dm;
2828:   DMSNES    sdm;
2829:   KSP       ksp;

2831:   PetscFunctionBegin;
2834:   PetscCheckSameComm(snes, 1, X, 2);
2835:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2836:   PetscCall(SNESGetDM(snes, &dm));
2837:   PetscCall(DMGetDMSNES(dm, &sdm));

2839:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2840:   if (snes->lagjacobian == -2) {
2841:     snes->lagjacobian = -1;

2843:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2844:   } else if (snes->lagjacobian == -1) {
2845:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2846:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2847:     if (flag) {
2848:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2849:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2850:     }
2851:     PetscFunctionReturn(PETSC_SUCCESS);
2852:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2853:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2854:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2855:     if (flag) {
2856:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2857:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2858:     }
2859:     PetscFunctionReturn(PETSC_SUCCESS);
2860:   }
2861:   if (snes->npc && snes->npcside == PC_LEFT) {
2862:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2863:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2864:     PetscFunctionReturn(PETSC_SUCCESS);
2865:   }

2867:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2868:   PetscCall(VecLockReadPush(X));
2869:   {
2870:     void           *ctx;
2871:     SNESJacobianFn *J;
2872:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
2873:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
2874:   }
2875:   PetscCall(VecLockReadPop(X));
2876:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

2878:   /* attach latest linearization point to the preconditioning matrix */
2879:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

2881:   /* the next line ensures that snes->ksp exists */
2882:   PetscCall(SNESGetKSP(snes, &ksp));
2883:   if (snes->lagpreconditioner == -2) {
2884:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
2885:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2886:     snes->lagpreconditioner = -1;
2887:   } else if (snes->lagpreconditioner == -1) {
2888:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
2889:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2890:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
2891:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
2892:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2893:   } else {
2894:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
2895:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2896:   }

2898:   /* monkey business to allow testing Jacobians in multilevel solvers.
2899:      This is needed because the SNESTestXXX interface does not accept vectors and matrices */
2900:   {
2901:     Vec xsave            = snes->vec_sol;
2902:     Mat jacobiansave     = snes->jacobian;
2903:     Mat jacobian_presave = snes->jacobian_pre;

2905:     snes->vec_sol      = X;
2906:     snes->jacobian     = A;
2907:     snes->jacobian_pre = B;
2908:     PetscCall(SNESTestFunction(snes));
2909:     PetscCall(SNESTestJacobian(snes));

2911:     snes->vec_sol      = xsave;
2912:     snes->jacobian     = jacobiansave;
2913:     snes->jacobian_pre = jacobian_presave;
2914:   }

2916:   {
2917:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
2918:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
2919:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
2920:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
2921:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
2922:     if (flag || flag_draw || flag_contour) {
2923:       Mat         Bexp_mine = NULL, Bexp, FDexp;
2924:       PetscViewer vdraw, vstdout;
2925:       PetscBool   flg;
2926:       if (flag_operator) {
2927:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
2928:         Bexp = Bexp_mine;
2929:       } else {
2930:         /* See if the preconditioning matrix can be viewed and added directly */
2931:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPIBAIJ, ""));
2932:         if (flg) Bexp = B;
2933:         else {
2934:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
2935:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
2936:           Bexp = Bexp_mine;
2937:         }
2938:       }
2939:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
2940:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
2941:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
2942:       if (flag_draw || flag_contour) {
2943:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
2944:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2945:       } else vdraw = NULL;
2946:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
2947:       if (flag) PetscCall(MatView(Bexp, vstdout));
2948:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
2949:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
2950:       if (flag) PetscCall(MatView(FDexp, vstdout));
2951:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
2952:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
2953:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
2954:       if (flag) PetscCall(MatView(FDexp, vstdout));
2955:       if (vdraw) { /* Always use contour for the difference */
2956:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2957:         PetscCall(MatView(FDexp, vdraw));
2958:         PetscCall(PetscViewerPopFormat(vdraw));
2959:       }
2960:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
2961:       PetscCall(PetscViewerDestroy(&vdraw));
2962:       PetscCall(MatDestroy(&Bexp_mine));
2963:       PetscCall(MatDestroy(&FDexp));
2964:     }
2965:   }
2966:   {
2967:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
2968:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
2969:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
2970:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
2971:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
2972:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
2973:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
2974:     if (flag_threshold) {
2975:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
2976:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
2977:     }
2978:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
2979:       Mat             Bfd;
2980:       PetscViewer     vdraw, vstdout;
2981:       MatColoring     coloring;
2982:       ISColoring      iscoloring;
2983:       MatFDColoring   matfdcoloring;
2984:       SNESFunctionFn *func;
2985:       void           *funcctx;
2986:       PetscReal       norm1, norm2, normmax;

2988:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
2989:       PetscCall(MatColoringCreate(Bfd, &coloring));
2990:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
2991:       PetscCall(MatColoringSetFromOptions(coloring));
2992:       PetscCall(MatColoringApply(coloring, &iscoloring));
2993:       PetscCall(MatColoringDestroy(&coloring));
2994:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
2995:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
2996:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
2997:       PetscCall(ISColoringDestroy(&iscoloring));

2999:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
3000:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
3001:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (PetscErrorCode(*)(void))func, funcctx));
3002:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
3003:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
3004:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
3005:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
3006:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

3008:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
3009:       if (flag_draw || flag_contour) {
3010:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
3011:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3012:       } else vdraw = NULL;
3013:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
3014:       if (flag_display) PetscCall(MatView(B, vstdout));
3015:       if (vdraw) PetscCall(MatView(B, vdraw));
3016:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
3017:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3018:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
3019:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
3020:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
3021:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
3022:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
3023:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
3024:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
3025:       if (vdraw) { /* Always use contour for the difference */
3026:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
3027:         PetscCall(MatView(Bfd, vdraw));
3028:         PetscCall(PetscViewerPopFormat(vdraw));
3029:       }
3030:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

3032:       if (flag_threshold) {
3033:         PetscInt bs, rstart, rend, i;
3034:         PetscCall(MatGetBlockSize(B, &bs));
3035:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
3036:         for (i = rstart; i < rend; i++) {
3037:           const PetscScalar *ba, *ca;
3038:           const PetscInt    *bj, *cj;
3039:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
3040:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
3041:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
3042:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
3043:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
3044:           for (j = 0; j < bn; j++) {
3045:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3046:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
3047:               maxentrycol = bj[j];
3048:               maxentry    = PetscRealPart(ba[j]);
3049:             }
3050:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
3051:               maxdiffcol = bj[j];
3052:               maxdiff    = PetscRealPart(ca[j]);
3053:             }
3054:             if (rdiff > maxrdiff) {
3055:               maxrdiffcol = bj[j];
3056:               maxrdiff    = rdiff;
3057:             }
3058:           }
3059:           if (maxrdiff > 1) {
3060:             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));
3061:             for (j = 0; j < bn; j++) {
3062:               PetscReal rdiff;
3063:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
3064:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
3065:             }
3066:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
3067:           }
3068:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
3069:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
3070:         }
3071:       }
3072:       PetscCall(PetscViewerDestroy(&vdraw));
3073:       PetscCall(MatDestroy(&Bfd));
3074:     }
3075:   }
3076:   PetscFunctionReturn(PETSC_SUCCESS);
3077: }

3079: /*@C
3080:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3081:   location to store the matrix.

3083:   Logically Collective

3085:   Input Parameters:
3086: + snes - the `SNES` context
3087: . Amat - the matrix that defines the (approximate) Jacobian
3088: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3089: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFn` for details
3090: - ctx  - [optional] user-defined context for private data for the
3091:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3093:   Level: beginner

3095:   Notes:
3096:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3097:   each matrix.

3099:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3100:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3102:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3103:   must be a `MatFDColoring`.

3105:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3106:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3108: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3109:           `SNESSetPicard()`, `SNESJacobianFn`, `SNESFunctionFn`
3110: @*/
3111: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, SNESJacobianFn *J, void *ctx)
3112: {
3113:   DM dm;

3115:   PetscFunctionBegin;
3119:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3120:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3121:   PetscCall(SNESGetDM(snes, &dm));
3122:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3123:   if (Amat) {
3124:     PetscCall(PetscObjectReference((PetscObject)Amat));
3125:     PetscCall(MatDestroy(&snes->jacobian));

3127:     snes->jacobian = Amat;
3128:   }
3129:   if (Pmat) {
3130:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3131:     PetscCall(MatDestroy(&snes->jacobian_pre));

3133:     snes->jacobian_pre = Pmat;
3134:   }
3135:   PetscFunctionReturn(PETSC_SUCCESS);
3136: }

3138: /*@C
3139:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3140:   provided context for evaluating the Jacobian.

3142:   Not Collective, but `Mat` object will be parallel if `SNES` is

3144:   Input Parameter:
3145: . snes - the nonlinear solver context

3147:   Output Parameters:
3148: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3149: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3150: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFn`
3151: - ctx  - location to stash Jacobian ctx (or `NULL`)

3153:   Level: advanced

3155: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFn`, `SNESGetFunction()`
3156: @*/
3157: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, SNESJacobianFn **J, void **ctx)
3158: {
3159:   DM dm;

3161:   PetscFunctionBegin;
3163:   if (Amat) *Amat = snes->jacobian;
3164:   if (Pmat) *Pmat = snes->jacobian_pre;
3165:   PetscCall(SNESGetDM(snes, &dm));
3166:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3167:   PetscFunctionReturn(PETSC_SUCCESS);
3168: }

3170: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3171: {
3172:   DM     dm;
3173:   DMSNES sdm;

3175:   PetscFunctionBegin;
3176:   PetscCall(SNESGetDM(snes, &dm));
3177:   PetscCall(DMGetDMSNES(dm, &sdm));
3178:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3179:     DM        dm;
3180:     PetscBool isdense, ismf;

3182:     PetscCall(SNESGetDM(snes, &dm));
3183:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3184:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3185:     if (isdense) {
3186:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3187:     } else if (!ismf) {
3188:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3189:     }
3190:   }
3191:   PetscFunctionReturn(PETSC_SUCCESS);
3192: }

3194: /*@
3195:   SNESSetUp - Sets up the internal data structures for the later use
3196:   of a nonlinear solver.

3198:   Collective

3200:   Input Parameter:
3201: . snes - the `SNES` context

3203:   Level: advanced

3205:   Note:
3206:   For basic use of the `SNES` solvers the user need not explicitly call
3207:   `SNESSetUp()`, since these actions will automatically occur during
3208:   the call to `SNESSolve()`.  However, if one wishes to control this
3209:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3210:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3212: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`
3213: @*/
3214: PetscErrorCode SNESSetUp(SNES snes)
3215: {
3216:   DM             dm;
3217:   DMSNES         sdm;
3218:   SNESLineSearch linesearch, pclinesearch;
3219:   void          *lsprectx, *lspostctx;
3220:   PetscBool      mf_operator, mf;
3221:   Vec            f, fpc;
3222:   void          *funcctx;
3223:   void          *jacctx, *appctx;
3224:   Mat            j, jpre;
3225:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3226:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3227:   SNESFunctionFn *func;
3228:   SNESJacobianFn *jac;

3230:   PetscFunctionBegin;
3232:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3233:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3235:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3237:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3239:   PetscCall(SNESGetDM(snes, &dm));
3240:   PetscCall(DMGetDMSNES(dm, &sdm));
3241:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3243:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3245:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3247:   if (snes->linesearch) {
3248:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3249:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3250:   }

3252:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3253:   if (snes->npc && snes->npcside == PC_LEFT) {
3254:     snes->mf          = PETSC_TRUE;
3255:     snes->mf_operator = PETSC_FALSE;
3256:   }

3258:   if (snes->npc) {
3259:     /* copy the DM over */
3260:     PetscCall(SNESGetDM(snes, &dm));
3261:     PetscCall(SNESSetDM(snes->npc, dm));

3263:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3264:     PetscCall(VecDuplicate(f, &fpc));
3265:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3266:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3267:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3268:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3269:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3270:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3271:     PetscCall(VecDestroy(&fpc));

3273:     /* copy the function pointers over */
3274:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3276:     /* default to 1 iteration */
3277:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3278:     if (snes->npcside == PC_RIGHT) {
3279:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3280:     } else {
3281:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3282:     }
3283:     PetscCall(SNESSetFromOptions(snes->npc));

3285:     /* copy the line search context over */
3286:     if (snes->linesearch && snes->npc->linesearch) {
3287:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3288:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3289:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3290:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3291:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3292:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3293:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3294:     }
3295:   }
3296:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3297:   if (snes->ops->usercompute && !snes->user) PetscCallBack("SNES callback compute application context", (*snes->ops->usercompute)(snes, (void **)&snes->user));

3299:   snes->jac_iter = 0;
3300:   snes->pre_iter = 0;

3302:   PetscTryTypeMethod(snes, setup);

3304:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3306:   if (snes->npc && snes->npcside == PC_LEFT) {
3307:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3308:       if (snes->linesearch) {
3309:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3310:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3311:       }
3312:     }
3313:   }
3314:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3315:   snes->setupcalled = PETSC_TRUE;
3316:   PetscFunctionReturn(PETSC_SUCCESS);
3317: }

3319: /*@
3320:   SNESReset - Resets a `SNES` context to the snessetupcalled = 0 state and removes any allocated `Vec`s and `Mat`s

3322:   Collective

3324:   Input Parameter:
3325: . snes - iterative context obtained from `SNESCreate()`

3327:   Level: intermediate

3329:   Notes:
3330:   Call this if you wish to reuse a `SNES` but with different size vectors

3332:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3334: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3335: @*/
3336: PetscErrorCode SNESReset(SNES snes)
3337: {
3338:   PetscFunctionBegin;
3340:   if (snes->ops->userdestroy && snes->user) {
3341:     PetscCallBack("SNES callback destroy application context", (*snes->ops->userdestroy)((void **)&snes->user));
3342:     snes->user = NULL;
3343:   }
3344:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3346:   PetscTryTypeMethod(snes, reset);
3347:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3349:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3351:   PetscCall(VecDestroy(&snes->vec_rhs));
3352:   PetscCall(VecDestroy(&snes->vec_sol));
3353:   PetscCall(VecDestroy(&snes->vec_sol_update));
3354:   PetscCall(VecDestroy(&snes->vec_func));
3355:   PetscCall(MatDestroy(&snes->jacobian));
3356:   PetscCall(MatDestroy(&snes->jacobian_pre));
3357:   PetscCall(MatDestroy(&snes->picard));
3358:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3359:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3361:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3363:   snes->nwork = snes->nvwork = 0;
3364:   snes->setupcalled          = PETSC_FALSE;
3365:   PetscFunctionReturn(PETSC_SUCCESS);
3366: }

3368: /*@
3369:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()`

3371:   Collective

3373:   Input Parameter:
3374: . snes - iterative context obtained from `SNESCreate()`

3376:   Level: intermediate

3378: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3379: @*/
3380: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3381: {
3382:   PetscInt i;

3384:   PetscFunctionBegin;
3386:   for (i = 0; i < snes->numberreasonviews; i++) {
3387:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3388:   }
3389:   snes->numberreasonviews = 0;
3390:   PetscFunctionReturn(PETSC_SUCCESS);
3391: }

3393: /*@C
3394:   SNESDestroy - Destroys the nonlinear solver context that was created
3395:   with `SNESCreate()`.

3397:   Collective

3399:   Input Parameter:
3400: . snes - the `SNES` context

3402:   Level: beginner

3404: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3405: @*/
3406: PetscErrorCode SNESDestroy(SNES *snes)
3407: {
3408:   PetscFunctionBegin;
3409:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3411:   if (--((PetscObject)*snes)->refct > 0) {
3412:     *snes = NULL;
3413:     PetscFunctionReturn(PETSC_SUCCESS);
3414:   }

3416:   PetscCall(SNESReset(*snes));
3417:   PetscCall(SNESDestroy(&(*snes)->npc));

3419:   /* if memory was published with SAWs then destroy it */
3420:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3421:   PetscTryTypeMethod(*snes, destroy);

3423:   if ((*snes)->dm) PetscCall(DMCoarsenHookRemove((*snes)->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3424:   PetscCall(DMDestroy(&(*snes)->dm));
3425:   PetscCall(KSPDestroy(&(*snes)->ksp));
3426:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3428:   PetscCall(PetscFree((*snes)->kspconvctx));
3429:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)((*snes)->cnvP));
3430:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3431:   PetscCall(SNESMonitorCancel(*snes));
3432:   PetscCall(SNESConvergedReasonViewCancel(*snes));
3433:   PetscCall(PetscHeaderDestroy(snes));
3434:   PetscFunctionReturn(PETSC_SUCCESS);
3435: }

3437: /* ----------- Routines to set solver parameters ---------- */

3439: /*@
3440:   SNESSetLagPreconditioner - Determines when the preconditioner is rebuilt in the nonlinear solve.

3442:   Logically Collective

3444:   Input Parameters:
3445: + snes - the `SNES` context
3446: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3447:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3449:   Options Database Keys:
3450: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3451: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3452: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3453: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3455:   Level: intermediate

3457:   Notes:
3458:   The default is 1

3460:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3462:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3464: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3465:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3466: @*/
3467: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3468: {
3469:   PetscFunctionBegin;
3471:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3472:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3474:   snes->lagpreconditioner = lag;
3475:   PetscFunctionReturn(PETSC_SUCCESS);
3476: }

3478: /*@
3479:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3481:   Logically Collective

3483:   Input Parameters:
3484: + snes  - the `SNES` context
3485: - steps - the number of refinements to do, defaults to 0

3487:   Options Database Key:
3488: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3490:   Level: intermediate

3492:   Note:
3493:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3495: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3496:           `SNESetDM()`
3497: @*/
3498: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3499: {
3500:   PetscFunctionBegin;
3503:   snes->gridsequence = steps;
3504:   PetscFunctionReturn(PETSC_SUCCESS);
3505: }

3507: /*@
3508:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3510:   Logically Collective

3512:   Input Parameter:
3513: . snes - the `SNES` context

3515:   Output Parameter:
3516: . steps - the number of refinements to do, defaults to 0

3518:   Level: intermediate

3520: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3521: @*/
3522: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3523: {
3524:   PetscFunctionBegin;
3526:   *steps = snes->gridsequence;
3527:   PetscFunctionReturn(PETSC_SUCCESS);
3528: }

3530: /*@
3531:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3533:   Not Collective

3535:   Input Parameter:
3536: . snes - the `SNES` context

3538:   Output Parameter:
3539: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3540:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3542:   Level: intermediate

3544:   Notes:
3545:   The default is 1

3547:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3549: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3550: @*/
3551: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3552: {
3553:   PetscFunctionBegin;
3555:   *lag = snes->lagpreconditioner;
3556:   PetscFunctionReturn(PETSC_SUCCESS);
3557: }

3559: /*@
3560:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3561:   often the preconditioner is rebuilt.

3563:   Logically Collective

3565:   Input Parameters:
3566: + snes - the `SNES` context
3567: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3568:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3570:   Options Database Keys:
3571: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3572: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3573: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3574: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3576:   Level: intermediate

3578:   Notes:
3579:   The default is 1

3581:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3583:   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
3584:   at the next Newton step but never again (unless it is reset to another value)

3586: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3587: @*/
3588: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3589: {
3590:   PetscFunctionBegin;
3592:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3593:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3595:   snes->lagjacobian = lag;
3596:   PetscFunctionReturn(PETSC_SUCCESS);
3597: }

3599: /*@
3600:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3602:   Not Collective

3604:   Input Parameter:
3605: . snes - the `SNES` context

3607:   Output Parameter:
3608: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3609:          the Jacobian is built etc.

3611:   Level: intermediate

3613:   Notes:
3614:   The default is 1

3616:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3618: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3620: @*/
3621: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3622: {
3623:   PetscFunctionBegin;
3625:   *lag = snes->lagjacobian;
3626:   PetscFunctionReturn(PETSC_SUCCESS);
3627: }

3629: /*@
3630:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3632:   Logically collective

3634:   Input Parameters:
3635: + snes - the `SNES` context
3636: - flg  - jacobian lagging persists if true

3638:   Options Database Keys:
3639: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3640: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3641: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3642: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3644:   Level: advanced

3646:   Notes:
3647:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3649:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3650:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3651:   timesteps may present huge efficiency gains.

3653: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3654: @*/
3655: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3656: {
3657:   PetscFunctionBegin;
3660:   snes->lagjac_persist = flg;
3661:   PetscFunctionReturn(PETSC_SUCCESS);
3662: }

3664: /*@
3665:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3667:   Logically Collective

3669:   Input Parameters:
3670: + snes - the `SNES` context
3671: - flg  - preconditioner lagging persists if true

3673:   Options Database Keys:
3674: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3675: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3676: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3677: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3679:   Level: developer

3681:   Notes:
3682:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3684:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3685:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3686:   several timesteps may present huge efficiency gains.

3688: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3689: @*/
3690: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3691: {
3692:   PetscFunctionBegin;
3695:   snes->lagpre_persist = flg;
3696:   PetscFunctionReturn(PETSC_SUCCESS);
3697: }

3699: /*@
3700:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3702:   Logically Collective

3704:   Input Parameters:
3705: + snes  - the `SNES` context
3706: - force - `PETSC_TRUE` require at least one iteration

3708:   Options Database Key:
3709: . -snes_force_iteration <force> - Sets forcing an iteration

3711:   Level: intermediate

3713:   Note:
3714:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3716: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3717: @*/
3718: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3719: {
3720:   PetscFunctionBegin;
3722:   snes->forceiteration = force;
3723:   PetscFunctionReturn(PETSC_SUCCESS);
3724: }

3726: /*@
3727:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3729:   Logically Collective

3731:   Input Parameter:
3732: . snes - the `SNES` context

3734:   Output Parameter:
3735: . force - `PETSC_TRUE` requires at least one iteration.

3737:   Level: intermediate

3739: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3740: @*/
3741: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3742: {
3743:   PetscFunctionBegin;
3745:   *force = snes->forceiteration;
3746:   PetscFunctionReturn(PETSC_SUCCESS);
3747: }

3749: /*@
3750:   SNESSetTolerances - Sets `SNES` various parameters used in convergence tests.

3752:   Logically Collective

3754:   Input Parameters:
3755: + snes   - the `SNES` context
3756: . abstol - absolute convergence tolerance
3757: . rtol   - relative convergence tolerance
3758: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3759: . maxit  - maximum number of iterations, default 50.
3760: - maxf   - maximum number of function evaluations (-1 indicates no limit), default 1000

3762:   Options Database Keys:
3763: + -snes_atol <abstol>    - Sets abstol
3764: . -snes_rtol <rtol>      - Sets rtol
3765: . -snes_stol <stol>      - Sets stol
3766: . -snes_max_it <maxit>   - Sets maxit
3767: - -snes_max_funcs <maxf> - Sets maxf

3769:   Level: intermediate

3771: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3772: @*/
3773: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3774: {
3775:   PetscFunctionBegin;

3783:   if (abstol != (PetscReal)PETSC_DEFAULT) {
3784:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3785:     snes->abstol = abstol;
3786:   }
3787:   if (rtol != (PetscReal)PETSC_DEFAULT) {
3788:     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);
3789:     snes->rtol = rtol;
3790:   }
3791:   if (stol != (PetscReal)PETSC_DEFAULT) {
3792:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3793:     snes->stol = stol;
3794:   }
3795:   if (maxit != PETSC_DEFAULT) {
3796:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3797:     snes->max_its = maxit;
3798:   }
3799:   if (maxf != PETSC_DEFAULT) {
3800:     PetscCheck(maxf >= -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be -1 or nonnegative", maxf);
3801:     snes->max_funcs = maxf;
3802:   }
3803:   snes->tolerancesset = PETSC_TRUE;
3804:   PetscFunctionReturn(PETSC_SUCCESS);
3805: }

3807: /*@
3808:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3810:   Logically Collective

3812:   Input Parameters:
3813: + snes   - the `SNES` context
3814: - divtol - the divergence tolerance. Use -1 to deactivate the test, default is 1e4

3816:   Options Database Key:
3817: . -snes_divergence_tolerance <divtol> - Sets `divtol`

3819:   Level: intermediate

3821: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance`
3822: @*/
3823: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
3824: {
3825:   PetscFunctionBegin;

3829:   if (divtol != (PetscReal)PETSC_DEFAULT) {
3830:     snes->divtol = divtol;
3831:   } else {
3832:     snes->divtol = 1.0e4;
3833:   }
3834:   PetscFunctionReturn(PETSC_SUCCESS);
3835: }

3837: /*@
3838:   SNESGetTolerances - Gets various parameters used in convergence tests.

3840:   Not Collective

3842:   Input Parameters:
3843: + snes  - the `SNES` context
3844: . atol  - absolute convergence tolerance
3845: . rtol  - relative convergence tolerance
3846: . stol  - convergence tolerance in terms of the norm
3847:           of the change in the solution between steps
3848: . maxit - maximum number of iterations
3849: - maxf  - maximum number of function evaluations

3851:   Level: intermediate

3853:   Note:
3854:   The user can specify `NULL` for any parameter that is not needed.

3856: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
3857: @*/
3858: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
3859: {
3860:   PetscFunctionBegin;
3862:   if (atol) *atol = snes->abstol;
3863:   if (rtol) *rtol = snes->rtol;
3864:   if (stol) *stol = snes->stol;
3865:   if (maxit) *maxit = snes->max_its;
3866:   if (maxf) *maxf = snes->max_funcs;
3867:   PetscFunctionReturn(PETSC_SUCCESS);
3868: }

3870: /*@
3871:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

3873:   Not Collective

3875:   Input Parameters:
3876: + snes   - the `SNES` context
3877: - divtol - divergence tolerance

3879:   Level: intermediate

3881: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
3882: @*/
3883: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
3884: {
3885:   PetscFunctionBegin;
3887:   if (divtol) *divtol = snes->divtol;
3888:   PetscFunctionReturn(PETSC_SUCCESS);
3889: }

3891: /*@
3892:   SNESSetTrustRegionTolerance - Sets the trust region parameter tolerance.

3894:   Logically Collective

3896:   Input Parameters:
3897: + snes - the `SNES` context
3898: - tol  - tolerance

3900:   Options Database Key:
3901: . -snes_tr_tol <tol> - Sets tol

3903:   Level: intermediate

3905:   Developer Note:
3906:   Should be SNESTrustRegionSetTolerance()

3908: .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESSetTolerances()`
3909: @*/
3910: PetscErrorCode SNESSetTrustRegionTolerance(SNES snes, PetscReal tol)
3911: {
3912:   PetscFunctionBegin;
3915:   snes->deltatol = tol;
3916:   PetscFunctionReturn(PETSC_SUCCESS);
3917: }

3919: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

3921: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, void *monctx)
3922: {
3923:   PetscDrawLG      lg;
3924:   PetscReal        x, y, per;
3925:   PetscViewer      v = (PetscViewer)monctx;
3926:   static PetscReal prev; /* should be in the context */
3927:   PetscDraw        draw;

3929:   PetscFunctionBegin;
3931:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
3932:   if (!n) PetscCall(PetscDrawLGReset(lg));
3933:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3934:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
3935:   x = (PetscReal)n;
3936:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
3937:   else y = -15.0;
3938:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3939:   if (n < 20 || !(n % 5) || snes->reason) {
3940:     PetscCall(PetscDrawLGDraw(lg));
3941:     PetscCall(PetscDrawLGSave(lg));
3942:   }

3944:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
3945:   if (!n) PetscCall(PetscDrawLGReset(lg));
3946:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3947:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
3948:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
3949:   x = (PetscReal)n;
3950:   y = 100.0 * per;
3951:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3952:   if (n < 20 || !(n % 5) || snes->reason) {
3953:     PetscCall(PetscDrawLGDraw(lg));
3954:     PetscCall(PetscDrawLGSave(lg));
3955:   }

3957:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
3958:   if (!n) {
3959:     prev = rnorm;
3960:     PetscCall(PetscDrawLGReset(lg));
3961:   }
3962:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3963:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
3964:   x = (PetscReal)n;
3965:   y = (prev - rnorm) / prev;
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, 3, &lg));
3973:   if (!n) PetscCall(PetscDrawLGReset(lg));
3974:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3975:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
3976:   x = (PetscReal)n;
3977:   y = (prev - rnorm) / (prev * per);
3978:   if (n > 2) { /*skip initial crazy value */
3979:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3980:   }
3981:   if (n < 20 || !(n % 5) || snes->reason) {
3982:     PetscCall(PetscDrawLGDraw(lg));
3983:     PetscCall(PetscDrawLGSave(lg));
3984:   }
3985:   prev = rnorm;
3986:   PetscFunctionReturn(PETSC_SUCCESS);
3987: }

3989: /*@
3990:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

3992:   Collective

3994:   Input Parameters:
3995: + snes  - the `SNES` context
3996: . it    - current iteration
3997: . xnorm - 2-norm of current iterate
3998: . snorm - 2-norm of current step
3999: - fnorm - 2-norm of function

4001:   Level: developer

4003:   Note:
4004:   This routine is called by the `SNESSolve()` implementations.
4005:   It does not typically need to be called by the user.

4007: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
4008: @*/
4009: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
4010: {
4011:   PetscFunctionBegin;
4012:   if (!snes->reason) {
4013:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
4014:     if (it == snes->max_its && !snes->reason) {
4015:       if (snes->normschedule == SNES_NORM_ALWAYS) {
4016:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
4017:         snes->reason = SNES_DIVERGED_MAX_IT;
4018:       } else snes->reason = SNES_CONVERGED_ITS;
4019:     }
4020:   }
4021:   PetscFunctionReturn(PETSC_SUCCESS);
4022: }

4024: /*@
4025:   SNESMonitor - runs the user provided monitor routines, if they exist

4027:   Collective

4029:   Input Parameters:
4030: + snes  - nonlinear solver context obtained from `SNESCreate()`
4031: . iter  - iteration number
4032: - rnorm - relative norm of the residual

4034:   Level: developer

4036:   Note:
4037:   This routine is called by the `SNESSolve()` implementations.
4038:   It does not typically need to be called by the user.

4040: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
4041: @*/
4042: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
4043: {
4044:   PetscInt i, n = snes->numbermonitors;

4046:   PetscFunctionBegin;
4047:   if (n > 0) SNESCheckFunctionNorm(snes, rnorm);
4048:   PetscCall(VecLockReadPush(snes->vec_sol));
4049:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
4050:   PetscCall(VecLockReadPop(snes->vec_sol));
4051:   PetscFunctionReturn(PETSC_SUCCESS);
4052: }

4054: /* ------------ Routines to set performance monitoring options ----------- */

4056: /*MC
4057:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

4059:      Synopsis:
4060: #include <petscsnes.h>
4061:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, void *mctx)

4063:      Collective

4065:     Input Parameters:
4066: +    snes - the `SNES` context
4067: .    its - iteration number
4068: .    norm - 2-norm function value (may be estimated)
4069: -    mctx - [optional] monitoring context

4071:    Level: advanced

4073: .seealso: [](ch_snes), `SNESMonitorSet()`, `SNESMonitorSet()`, `SNESMonitorGet()`
4074: M*/

4076: /*@C
4077:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
4078:   iteration of the nonlinear solver to display the iteration's
4079:   progress.

4081:   Logically Collective

4083:   Input Parameters:
4084: + snes           - the `SNES` context
4085: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4086: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4087: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`)

4089:   Options Database Keys:
4090: + -snes_monitor               - sets `SNESMonitorDefault()`
4091: . -snes_monitor draw::draw_lg - sets line graph monitor,
4092: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4093:                                 the options database.

4095:   Level: intermediate

4097:   Note:
4098:   Several different monitoring routines may be set by calling
4099:   `SNESMonitorSet()` multiple times; all will be called in the
4100:   order in which they were set.

4102:   Fortran Note:
4103:   Only a single monitor function can be set for each `SNES` object

4105: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`
4106: @*/
4107: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, void *), void *mctx, PetscErrorCode (*monitordestroy)(void **))
4108: {
4109:   PetscInt  i;
4110:   PetscBool identical;

4112:   PetscFunctionBegin;
4114:   for (i = 0; i < snes->numbermonitors; i++) {
4115:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, mctx, monitordestroy, (PetscErrorCode(*)(void))snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4116:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4117:   }
4118:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4119:   snes->monitor[snes->numbermonitors]          = f;
4120:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4121:   snes->monitorcontext[snes->numbermonitors++] = (void *)mctx;
4122:   PetscFunctionReturn(PETSC_SUCCESS);
4123: }

4125: /*@
4126:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4128:   Logically Collective

4130:   Input Parameter:
4131: . snes - the `SNES` context

4133:   Options Database Key:
4134: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4135:     into a code by calls to `SNESMonitorSet()`, but does not cancel those
4136:     set via the options database

4138:   Level: intermediate

4140:   Note:
4141:   There is no way to clear one specific monitor from a `SNES` object.

4143: .seealso: [](ch_snes), `SNES`, `SNESMonitorGet()`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4144: @*/
4145: PetscErrorCode SNESMonitorCancel(SNES snes)
4146: {
4147:   PetscInt i;

4149:   PetscFunctionBegin;
4151:   for (i = 0; i < snes->numbermonitors; i++) {
4152:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4153:   }
4154:   snes->numbermonitors = 0;
4155:   PetscFunctionReturn(PETSC_SUCCESS);
4156: }

4158: /*MC
4159:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4161:      Synopsis:
4162: #include <petscsnes.h>
4163:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4165:      Collective

4167:     Input Parameters:
4168: +    snes - the `SNES` context
4169: .    it - current iteration (0 is the first and is before any Newton step)
4170: .    xnorm - 2-norm of current iterate
4171: .    gnorm - 2-norm of current step
4172: .    f - 2-norm of function
4173: -    cctx - [optional] convergence context

4175:     Output Parameter:
4176: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4178:    Level: intermediate

4180: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
4181: M*/

4183: /*@C
4184:   SNESSetConvergenceTest - Sets the function that is to be used
4185:   to test for convergence of the nonlinear iterative solution.

4187:   Logically Collective

4189:   Input Parameters:
4190: + snes                        - the `SNES` context
4191: . SNESConvergenceTestFunction - routine to test for convergence
4192: . cctx                        - [optional] context for private data for the convergence routine  (may be `NULL`)
4193: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4195:   Level: advanced

4197: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4198: @*/
4199: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *cctx, PetscErrorCode (*destroy)(void *))
4200: {
4201:   PetscFunctionBegin;
4203:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4204:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(snes->cnvP));
4205:   snes->ops->converged        = SNESConvergenceTestFunction;
4206:   snes->ops->convergeddestroy = destroy;
4207:   snes->cnvP                  = cctx;
4208:   PetscFunctionReturn(PETSC_SUCCESS);
4209: }

4211: /*@
4212:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped.

4214:   Not Collective

4216:   Input Parameter:
4217: . snes - the `SNES` context

4219:   Output Parameter:
4220: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4222:   Options Database Key:
4223: . -snes_converged_reason - prints the reason to standard out

4225:   Level: intermediate

4227:   Note:
4228:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4230: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4231: @*/
4232: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4233: {
4234:   PetscFunctionBegin;
4236:   PetscAssertPointer(reason, 2);
4237:   *reason = snes->reason;
4238:   PetscFunctionReturn(PETSC_SUCCESS);
4239: }

4241: /*@C
4242:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4244:   Not Collective

4246:   Input Parameter:
4247: . snes - the `SNES` context

4249:   Output Parameter:
4250: . strreason - a human readable string that describes `SNES` converged reason

4252:   Level: beginner

4254: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4255: @*/
4256: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4257: {
4258:   PetscFunctionBegin;
4260:   PetscAssertPointer(strreason, 2);
4261:   *strreason = SNESConvergedReasons[snes->reason];
4262:   PetscFunctionReturn(PETSC_SUCCESS);
4263: }

4265: /*@
4266:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4268:   Not Collective

4270:   Input Parameters:
4271: + snes   - the `SNES` context
4272: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4273:             manual pages for the individual convergence tests for complete lists

4275:   Level: developer

4277:   Developer Note:
4278:   Called inside the various `SNESSolve()` implementations

4280: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4281: @*/
4282: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4283: {
4284:   PetscFunctionBegin;
4286:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4287:   snes->reason = reason;
4288:   PetscFunctionReturn(PETSC_SUCCESS);
4289: }

4291: /*@
4292:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4294:   Logically Collective

4296:   Input Parameters:
4297: + snes  - iterative context obtained from `SNESCreate()`
4298: . a     - array to hold history, this array will contain the function norms computed at each step
4299: . its   - integer array holds the number of linear iterations for each solve.
4300: . na    - size of `a` and `its`
4301: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4302:            else it continues storing new values for new nonlinear solves after the old ones

4304:   Level: intermediate

4306:   Notes:
4307:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' `PETSC_DECIDE` or `PETSC_DEFAULT` then a
4308:   default array of length 10000 is allocated.

4310:   This routine is useful, e.g., when running a code for purposes
4311:   of accurate performance monitoring, when no I/O should be done
4312:   during the section of code that is being timed.

4314:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4316: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4317: @*/
4318: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4319: {
4320:   PetscFunctionBegin;
4322:   if (a) PetscAssertPointer(a, 2);
4323:   if (its) PetscAssertPointer(its, 3);
4324:   if (!a) {
4325:     if (na == PETSC_DECIDE || na == PETSC_DEFAULT) na = 1000;
4326:     PetscCall(PetscCalloc2(na, &a, na, &its));
4327:     snes->conv_hist_alloc = PETSC_TRUE;
4328:   }
4329:   snes->conv_hist       = a;
4330:   snes->conv_hist_its   = its;
4331:   snes->conv_hist_max   = (size_t)na;
4332:   snes->conv_hist_len   = 0;
4333:   snes->conv_hist_reset = reset;
4334:   PetscFunctionReturn(PETSC_SUCCESS);
4335: }

4337: #if defined(PETSC_HAVE_MATLAB)
4338:   #include <engine.h> /* MATLAB include file */
4339:   #include <mex.h>    /* MATLAB include file */

4341: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4342: {
4343:   mxArray   *mat;
4344:   PetscInt   i;
4345:   PetscReal *ar;

4347:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4348:   ar  = (PetscReal *)mxGetData(mat);
4349:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4350:   return mat;
4351: }
4352: #endif

4354: /*@C
4355:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4357:   Not Collective

4359:   Input Parameter:
4360: . snes - iterative context obtained from `SNESCreate()`

4362:   Output Parameters:
4363: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4364: . its - integer array holds the number of linear iterations (or
4365:          negative if not converged) for each solve.
4366: - na  - size of `a` and `its`

4368:   Level: intermediate

4370:   Note:
4371:   This routine is useful, e.g., when running a code for purposes
4372:   of accurate performance monitoring, when no I/O should be done
4373:   during the section of code that is being timed.

4375:   Fortran Note:
4376:   The calling sequence for this routine in Fortran is
4377: .vb
4378:     call SNESGetConvergenceHistory(SNES snes, integer na, integer ierr)
4379: .ve

4381: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4382: @*/
4383: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4384: {
4385:   PetscFunctionBegin;
4387:   if (a) *a = snes->conv_hist;
4388:   if (its) *its = snes->conv_hist_its;
4389:   if (na) *na = (PetscInt)snes->conv_hist_len;
4390:   PetscFunctionReturn(PETSC_SUCCESS);
4391: }

4393: /*@C
4394:   SNESSetUpdate - Sets the general-purpose update function called
4395:   at the beginning of every iteration of the nonlinear solve. Specifically
4396:   it is called just before the Jacobian is "evaluated".

4398:   Logically Collective

4400:   Input Parameters:
4401: + snes - The nonlinear solver context
4402: - func - The function

4404:   Calling sequence of `func`:
4405: + snes - the nonlinear solver context
4406: - step - The current step of the iteration

4408:   Level: advanced

4410:   Notes:
4411:   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
4412:   to `SNESSetFunction()`, or `SNESSetPicard()`
4413:   This is not used by most users.

4415:   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.

4417: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4418:          `SNESMonitorSet()`, `SNESSetDivergenceTest()`
4419: @*/
4420: PetscErrorCode SNESSetUpdate(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt step))
4421: {
4422:   PetscFunctionBegin;
4424:   snes->ops->update = func;
4425:   PetscFunctionReturn(PETSC_SUCCESS);
4426: }

4428: /*@C
4429:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4431:   Collective

4433:   Input Parameters:
4434: + snes   - iterative context obtained from `SNESCreate()`
4435: - viewer - the viewer to display the reason

4437:   Options Database Keys:
4438: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4439: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4441:   Level: beginner

4443:   Note:
4444:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4445:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4447: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4448:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4449:           `SNESConvergedReasonViewFromOptions()`,
4450:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4451: @*/
4452: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4453: {
4454:   PetscViewerFormat format;
4455:   PetscBool         isAscii;

4457:   PetscFunctionBegin;
4458:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4459:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4460:   if (isAscii) {
4461:     PetscCall(PetscViewerGetFormat(viewer, &format));
4462:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel));
4463:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4464:       DM       dm;
4465:       Vec      u;
4466:       PetscDS  prob;
4467:       PetscInt Nf, f;
4468:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4469:       void    **exactCtx;
4470:       PetscReal error;

4472:       PetscCall(SNESGetDM(snes, &dm));
4473:       PetscCall(SNESGetSolution(snes, &u));
4474:       PetscCall(DMGetDS(dm, &prob));
4475:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4476:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4477:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4478:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4479:       PetscCall(PetscFree2(exactSol, exactCtx));
4480:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4481:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4482:     }
4483:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4484:       if (((PetscObject)snes)->prefix) {
4485:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4486:       } else {
4487:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4488:       }
4489:     } else if (snes->reason <= 0) {
4490:       if (((PetscObject)snes)->prefix) {
4491:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4492:       } else {
4493:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4494:       }
4495:     }
4496:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel));
4497:   }
4498:   PetscFunctionReturn(PETSC_SUCCESS);
4499: }

4501: /*@C
4502:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4503:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4505:   Logically Collective

4507:   Input Parameters:
4508: + snes              - the `SNES` context
4509: . f                 - the `SNESConvergedReason` view function
4510: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4511: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`)

4513:   Calling sequence of `f`:
4514: + snes - the `SNES` context
4515: - vctx - [optional] user-defined context for private data for the function

4517:   Calling sequence of `reasonviewerdestroy`:
4518: . vctx - [optional] user-defined context for private data for the function

4520:   Options Database Keys:
4521: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4522: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4523:                                        calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4525:   Level: intermediate

4527:   Note:
4528:   Several different converged reason view routines may be set by calling
4529:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4530:   order in which they were set.

4532: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`
4533: @*/
4534: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscErrorCode (*reasonviewdestroy)(void **vctx))
4535: {
4536:   PetscInt  i;
4537:   PetscBool identical;

4539:   PetscFunctionBegin;
4541:   for (i = 0; i < snes->numberreasonviews; i++) {
4542:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, vctx, reasonviewdestroy, (PetscErrorCode(*)(void))snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4543:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4544:   }
4545:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4546:   snes->reasonview[snes->numberreasonviews]          = f;
4547:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4548:   snes->reasonviewcontext[snes->numberreasonviews++] = (void *)vctx;
4549:   PetscFunctionReturn(PETSC_SUCCESS);
4550: }

4552: /*@
4553:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4554:   All the user-provided convergedReasonView routines will be involved as well, if they exist.

4556:   Collective

4558:   Input Parameter:
4559: . snes - the `SNES` object

4561:   Level: advanced

4563: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4564:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4565: @*/
4566: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4567: {
4568:   PetscViewer       viewer;
4569:   PetscBool         flg;
4570:   static PetscBool  incall = PETSC_FALSE;
4571:   PetscViewerFormat format;
4572:   PetscInt          i;

4574:   PetscFunctionBegin;
4575:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4576:   incall = PETSC_TRUE;

4578:   /* All user-provided viewers are called first, if they exist. */
4579:   for (i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4581:   /* Call PETSc default routine if users ask for it */
4582:   PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &viewer, &format, &flg));
4583:   if (flg) {
4584:     PetscCall(PetscViewerPushFormat(viewer, format));
4585:     PetscCall(SNESConvergedReasonView(snes, viewer));
4586:     PetscCall(PetscViewerPopFormat(viewer));
4587:     PetscCall(PetscOptionsRestoreViewer(&viewer));
4588:   }
4589:   incall = PETSC_FALSE;
4590:   PetscFunctionReturn(PETSC_SUCCESS);
4591: }

4593: /*@
4594:   SNESSolve - Solves a nonlinear system F(x) = b.

4596:   Collective

4598:   Input Parameters:
4599: + snes - the `SNES` context
4600: . b    - the constant part of the equation F(x) = b, or `NULL` to use zero.
4601: - x    - the solution vector.

4603:   Level: beginner

4605:   Note:
4606:   The user should initialize the vector, `x`, with the initial guess
4607:   for the nonlinear solve prior to calling `SNESSolve()` or use `SNESSetInitialSolution()`.  In particular,
4608:   to employ an initial guess of zero, the user should explicitly set
4609:   this vector to zero by calling `VecSet()`.

4611: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4612:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4613:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`, `SNESSetInitialSolution()`
4614: @*/
4615: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4616: {
4617:   PetscBool flg;
4618:   PetscInt  grid;
4619:   Vec       xcreated = NULL;
4620:   DM        dm;

4622:   PetscFunctionBegin;
4625:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4627:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4629:   /* High level operations using the nonlinear solver */
4630:   {
4631:     PetscViewer       viewer;
4632:     PetscViewerFormat format;
4633:     PetscInt          num;
4634:     PetscBool         flg;
4635:     static PetscBool  incall = PETSC_FALSE;

4637:     if (!incall) {
4638:       /* Estimate the convergence rate of the discretization */
4639:       PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4640:       if (flg) {
4641:         PetscConvEst conv;
4642:         DM           dm;
4643:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4644:         PetscInt     Nf;

4646:         incall = PETSC_TRUE;
4647:         PetscCall(SNESGetDM(snes, &dm));
4648:         PetscCall(DMGetNumFields(dm, &Nf));
4649:         PetscCall(PetscCalloc1(Nf, &alpha));
4650:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4651:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4652:         PetscCall(PetscConvEstSetFromOptions(conv));
4653:         PetscCall(PetscConvEstSetUp(conv));
4654:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4655:         PetscCall(PetscViewerPushFormat(viewer, format));
4656:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4657:         PetscCall(PetscViewerPopFormat(viewer));
4658:         PetscCall(PetscOptionsRestoreViewer(&viewer));
4659:         PetscCall(PetscConvEstDestroy(&conv));
4660:         PetscCall(PetscFree(alpha));
4661:         incall = PETSC_FALSE;
4662:       }
4663:       /* Adaptively refine the initial grid */
4664:       num = 1;
4665:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4666:       if (flg) {
4667:         DMAdaptor adaptor;

4669:         incall = PETSC_TRUE;
4670:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4671:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4672:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4673:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4674:         PetscCall(DMAdaptorSetUp(adaptor));
4675:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4676:         PetscCall(DMAdaptorDestroy(&adaptor));
4677:         incall = PETSC_FALSE;
4678:       }
4679:       /* Use grid sequencing to adapt */
4680:       num = 0;
4681:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4682:       if (num) {
4683:         DMAdaptor adaptor;

4685:         incall = PETSC_TRUE;
4686:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4687:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4688:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4689:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4690:         PetscCall(DMAdaptorSetUp(adaptor));
4691:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4692:         PetscCall(DMAdaptorDestroy(&adaptor));
4693:         incall = PETSC_FALSE;
4694:       }
4695:     }
4696:   }
4697:   if (!x) x = snes->vec_sol;
4698:   if (!x) {
4699:     PetscCall(SNESGetDM(snes, &dm));
4700:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4701:     x = xcreated;
4702:   }
4703:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4705:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4706:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4707:     /* set solution vector */
4708:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4709:     PetscCall(VecDestroy(&snes->vec_sol));
4710:     snes->vec_sol = x;
4711:     PetscCall(SNESGetDM(snes, &dm));

4713:     /* set affine vector if provided */
4714:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4715:     PetscCall(VecDestroy(&snes->vec_rhs));
4716:     snes->vec_rhs = b;

4718:     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");
4719:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4720:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right-hand side vector");
4721:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4722:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4723:     PetscCall(SNESSetUp(snes));

4725:     if (!grid) {
4726:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback compute initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4727:     }

4729:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4730:     if (snes->counters_reset) {
4731:       snes->nfuncs      = 0;
4732:       snes->linear_its  = 0;
4733:       snes->numFailures = 0;
4734:     }

4736:     snes->reason = SNES_CONVERGED_ITERATING;
4737:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4738:     PetscUseTypeMethod(snes, solve);
4739:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4740:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4741:     snes->domainerror = PETSC_FALSE; /* clear the flag if it has been set */

4743:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4744:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4746:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4747:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4748:     /* Call converged reason views. This may involve user-provided viewers as well */
4749:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4751:     if (snes->errorifnotconverged) PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4752:     if (snes->reason < 0) break;
4753:     if (grid < snes->gridsequence) {
4754:       DM  fine;
4755:       Vec xnew;
4756:       Mat interp;

4758:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4759:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4760:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4761:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4762:       PetscCall(MatInterpolate(interp, x, xnew));
4763:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4764:       PetscCall(MatDestroy(&interp));
4765:       x = xnew;

4767:       PetscCall(SNESReset(snes));
4768:       PetscCall(SNESSetDM(snes, fine));
4769:       PetscCall(SNESResetFromOptions(snes));
4770:       PetscCall(DMDestroy(&fine));
4771:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4772:     }
4773:   }
4774:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4775:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4776:   PetscCall(DMMonitor(snes->dm));
4777:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4779:   PetscCall(VecDestroy(&xcreated));
4780:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4781:   PetscFunctionReturn(PETSC_SUCCESS);
4782: }

4784: /* --------- Internal routines for SNES Package --------- */

4786: /*@C
4787:   SNESSetType - Sets the method for the nonlinear solver.

4789:   Collective

4791:   Input Parameters:
4792: + snes - the `SNES` context
4793: - type - a known method

4795:   Options Database Key:
4796: . -snes_type <type> - Sets the method; use -help for a list
4797:    of available methods (for instance, newtonls or newtontr)

4799:   Level: intermediate

4801:   Notes:
4802:   See "petsc/include/petscsnes.h" for available methods (for instance)
4803: +    `SNESNEWTONLS` - Newton's method with line search
4804:   (systems of nonlinear equations)
4805: -    `SNESNEWTONTR` - Newton's method with trust region
4806:   (systems of nonlinear equations)

4808:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4809:   set the `SNES` solver type from the options database rather than by using
4810:   this routine.  Using the options database provides the user with
4811:   maximum flexibility in evaluating the many nonlinear solvers.
4812:   The `SNESSetType()` routine is provided for those situations where it
4813:   is necessary to set the nonlinear solver independently of the command
4814:   line or options database.  This might be the case, for example, when
4815:   the choice of solver changes during the execution of the program,
4816:   and the user's application is taking responsibility for choosing the
4817:   appropriate method.

4819:   Developer Note:
4820:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4821:   the constructor in that list and calls it to create the specific object.

4823: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4824: @*/
4825: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4826: {
4827:   PetscBool match;
4828:   PetscErrorCode (*r)(SNES);

4830:   PetscFunctionBegin;
4832:   PetscAssertPointer(type, 2);

4834:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4835:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4837:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4838:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4839:   /* Destroy the previous private SNES context */
4840:   PetscTryTypeMethod(snes, destroy);
4841:   /* Reinitialize function pointers in SNESOps structure */
4842:   snes->ops->setup          = NULL;
4843:   snes->ops->solve          = NULL;
4844:   snes->ops->view           = NULL;
4845:   snes->ops->setfromoptions = NULL;
4846:   snes->ops->destroy        = NULL;

4848:   /* It may happen the user has customized the line search before calling SNESSetType */
4849:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

4851:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
4852:   snes->setupcalled = PETSC_FALSE;

4854:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
4855:   PetscCall((*r)(snes));
4856:   PetscFunctionReturn(PETSC_SUCCESS);
4857: }

4859: /*@C
4860:   SNESGetType - Gets the `SNES` method type and name (as a string).

4862:   Not Collective

4864:   Input Parameter:
4865: . snes - nonlinear solver context

4867:   Output Parameter:
4868: . type - `SNES` method (a character string)

4870:   Level: intermediate

4872: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
4873: @*/
4874: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
4875: {
4876:   PetscFunctionBegin;
4878:   PetscAssertPointer(type, 2);
4879:   *type = ((PetscObject)snes)->type_name;
4880:   PetscFunctionReturn(PETSC_SUCCESS);
4881: }

4883: /*@
4884:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

4886:   Logically Collective

4888:   Input Parameters:
4889: + snes - the `SNES` context obtained from `SNESCreate()`
4890: - u    - the solution vector

4892:   Level: beginner

4894: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
4895: @*/
4896: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
4897: {
4898:   DM dm;

4900:   PetscFunctionBegin;
4903:   PetscCall(PetscObjectReference((PetscObject)u));
4904:   PetscCall(VecDestroy(&snes->vec_sol));

4906:   snes->vec_sol = u;

4908:   PetscCall(SNESGetDM(snes, &dm));
4909:   PetscCall(DMShellSetGlobalVector(dm, u));
4910:   PetscFunctionReturn(PETSC_SUCCESS);
4911: }

4913: /*@
4914:   SNESGetSolution - Returns the vector where the approximate solution is
4915:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

4917:   Not Collective, but `x` is parallel if `snes` is parallel

4919:   Input Parameter:
4920: . snes - the `SNES` context

4922:   Output Parameter:
4923: . x - the solution

4925:   Level: intermediate

4927: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
4928: @*/
4929: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
4930: {
4931:   PetscFunctionBegin;
4933:   PetscAssertPointer(x, 2);
4934:   *x = snes->vec_sol;
4935:   PetscFunctionReturn(PETSC_SUCCESS);
4936: }

4938: /*@
4939:   SNESGetSolutionUpdate - Returns the vector where the solution update is
4940:   stored.

4942:   Not Collective, but `x` is parallel if `snes` is parallel

4944:   Input Parameter:
4945: . snes - the `SNES` context

4947:   Output Parameter:
4948: . x - the solution update

4950:   Level: advanced

4952: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
4953: @*/
4954: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
4955: {
4956:   PetscFunctionBegin;
4958:   PetscAssertPointer(x, 2);
4959:   *x = snes->vec_sol_update;
4960:   PetscFunctionReturn(PETSC_SUCCESS);
4961: }

4963: /*@C
4964:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

4966:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

4968:   Input Parameter:
4969: . snes - the `SNES` context

4971:   Output Parameters:
4972: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
4973: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunctionFn`
4974: - ctx - the function context (or `NULL` if you don't want it)

4976:   Level: advanced

4978:   Note:
4979:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

4981: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunctionFn`
4982: @*/
4983: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, SNESFunctionFn **f, void **ctx)
4984: {
4985:   DM dm;

4987:   PetscFunctionBegin;
4989:   if (r) {
4990:     if (!snes->vec_func) {
4991:       if (snes->vec_rhs) {
4992:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
4993:       } else if (snes->vec_sol) {
4994:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
4995:       } else if (snes->dm) {
4996:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
4997:       }
4998:     }
4999:     *r = snes->vec_func;
5000:   }
5001:   PetscCall(SNESGetDM(snes, &dm));
5002:   PetscCall(DMSNESGetFunction(dm, f, ctx));
5003:   PetscFunctionReturn(PETSC_SUCCESS);
5004: }

5006: /*@C
5007:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

5009:   Input Parameter:
5010: . snes - the `SNES` context

5012:   Output Parameters:
5013: + f   - the function (or `NULL`) see `SNESNGSFn` for calling sequence
5014: - ctx - the function context (or `NULL`)

5016:   Level: advanced

5018: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`, `SNESNGSFn`
5019: @*/
5020: PetscErrorCode SNESGetNGS(SNES snes, SNESNGSFn **f, void **ctx)
5021: {
5022:   DM dm;

5024:   PetscFunctionBegin;
5026:   PetscCall(SNESGetDM(snes, &dm));
5027:   PetscCall(DMSNESGetNGS(dm, f, ctx));
5028:   PetscFunctionReturn(PETSC_SUCCESS);
5029: }

5031: /*@C
5032:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
5033:   `SNES` options in the database.

5035:   Logically Collective

5037:   Input Parameters:
5038: + snes   - the `SNES` context
5039: - prefix - the prefix to prepend to all option names

5041:   Level: advanced

5043:   Note:
5044:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5045:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5047: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
5048: @*/
5049: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
5050: {
5051:   PetscFunctionBegin;
5053:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
5054:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5055:   if (snes->linesearch) {
5056:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5057:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
5058:   }
5059:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
5060:   PetscFunctionReturn(PETSC_SUCCESS);
5061: }

5063: /*@C
5064:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
5065:   `SNES` options in the database.

5067:   Logically Collective

5069:   Input Parameters:
5070: + snes   - the `SNES` context
5071: - prefix - the prefix to prepend to all option names

5073:   Level: advanced

5075:   Note:
5076:   A hyphen (-) must NOT be given at the beginning of the prefix name.
5077:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5079: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5080: @*/
5081: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5082: {
5083:   PetscFunctionBegin;
5085:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5086:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5087:   if (snes->linesearch) {
5088:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5089:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5090:   }
5091:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5092:   PetscFunctionReturn(PETSC_SUCCESS);
5093: }

5095: /*@C
5096:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5097:   `SNES` options in the database.

5099:   Not Collective

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

5104:   Output Parameter:
5105: . prefix - pointer to the prefix string used

5107:   Level: advanced

5109:   Fortran Note:
5110:   The user should pass in a string 'prefix' of
5111:   sufficient length to hold the prefix.

5113: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5114: @*/
5115: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5116: {
5117:   PetscFunctionBegin;
5119:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5120:   PetscFunctionReturn(PETSC_SUCCESS);
5121: }

5123: /*@C
5124:   SNESRegister - Adds a method to the nonlinear solver package.

5126:   Not Collective

5128:   Input Parameters:
5129: + sname    - name of a new user-defined solver
5130: - function - routine to create method context

5132:   Level: advanced

5134:   Note:
5135:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5137:   Example Usage:
5138: .vb
5139:    SNESRegister("my_solver", MySolverCreate);
5140: .ve

5142:   Then, your solver can be chosen with the procedural interface via
5143: $     SNESSetType(snes, "my_solver")
5144:   or at runtime via the option
5145: $     -snes_type my_solver

5147: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5148: @*/
5149: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5150: {
5151:   PetscFunctionBegin;
5152:   PetscCall(SNESInitializePackage());
5153:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5154:   PetscFunctionReturn(PETSC_SUCCESS);
5155: }

5157: PetscErrorCode SNESTestLocalMin(SNES snes)
5158: {
5159:   PetscInt    N, i, j;
5160:   Vec         u, uh, fh;
5161:   PetscScalar value;
5162:   PetscReal   norm;

5164:   PetscFunctionBegin;
5165:   PetscCall(SNESGetSolution(snes, &u));
5166:   PetscCall(VecDuplicate(u, &uh));
5167:   PetscCall(VecDuplicate(u, &fh));

5169:   /* currently only works for sequential */
5170:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5171:   PetscCall(VecGetSize(u, &N));
5172:   for (i = 0; i < N; i++) {
5173:     PetscCall(VecCopy(u, uh));
5174:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5175:     for (j = -10; j < 11; j++) {
5176:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5177:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5178:       PetscCall(SNESComputeFunction(snes, uh, fh));
5179:       PetscCall(VecNorm(fh, NORM_2, &norm));
5180:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5181:       value = -value;
5182:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5183:     }
5184:   }
5185:   PetscCall(VecDestroy(&uh));
5186:   PetscCall(VecDestroy(&fh));
5187:   PetscFunctionReturn(PETSC_SUCCESS);
5188: }

5190: /*@
5191:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5192:   computing relative tolerance for linear solvers within an inexact
5193:   Newton method.

5195:   Logically Collective

5197:   Input Parameters:
5198: + snes - `SNES` context
5199: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5201:   Options Database Keys:
5202: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5203: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5204: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5205: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5206: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5207: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5208: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5209: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5211:   Level: advanced

5213:   Note:
5214:   The default is to use a constant relative tolerance for
5215:   the inner linear solvers.  Alternatively, one can use the
5216:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5217:   is reset at each Newton iteration according progress of the nonlinear
5218:   solver.

5220: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5221: @*/
5222: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5223: {
5224:   PetscFunctionBegin;
5227:   snes->ksp_ewconv = flag;
5228:   PetscFunctionReturn(PETSC_SUCCESS);
5229: }

5231: /*@
5232:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5233:   for computing relative tolerance for linear solvers within an
5234:   inexact Newton method.

5236:   Not Collective

5238:   Input Parameter:
5239: . snes - `SNES` context

5241:   Output Parameter:
5242: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5244:   Level: advanced

5246: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5247: @*/
5248: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5249: {
5250:   PetscFunctionBegin;
5252:   PetscAssertPointer(flag, 2);
5253:   *flag = snes->ksp_ewconv;
5254:   PetscFunctionReturn(PETSC_SUCCESS);
5255: }

5257: /*@
5258:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5259:   convergence criteria for the linear solvers within an inexact
5260:   Newton method.

5262:   Logically Collective

5264:   Input Parameters:
5265: + snes      - `SNES` context
5266: . version   - version 1, 2 (default is 2), 3 or 4
5267: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5268: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5269: . gamma     - multiplicative factor for version 2 rtol computation
5270:              (0 <= gamma2 <= 1)
5271: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5272: . alpha2    - power for safeguard
5273: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5275:   Level: advanced

5277:   Notes:
5278:   Version 3 was contributed by Luis Chacon, June 2006.

5280:   Use `PETSC_DEFAULT` to retain the default for any of the parameters.

5282: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5283: @*/
5284: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5285: {
5286:   SNESKSPEW *kctx;

5288:   PetscFunctionBegin;
5290:   kctx = (SNESKSPEW *)snes->kspconvctx;
5291:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5300:   if (version != PETSC_DEFAULT) kctx->version = version;
5301:   if (rtol_0 != (PetscReal)PETSC_DEFAULT) kctx->rtol_0 = rtol_0;
5302:   if (rtol_max != (PetscReal)PETSC_DEFAULT) kctx->rtol_max = rtol_max;
5303:   if (gamma != (PetscReal)PETSC_DEFAULT) kctx->gamma = gamma;
5304:   if (alpha != (PetscReal)PETSC_DEFAULT) kctx->alpha = alpha;
5305:   if (alpha2 != (PetscReal)PETSC_DEFAULT) kctx->alpha2 = alpha2;
5306:   if (threshold != (PetscReal)PETSC_DEFAULT) kctx->threshold = threshold;

5308:   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);
5309:   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);
5310:   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);
5311:   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);
5312:   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);
5313:   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);
5314:   PetscFunctionReturn(PETSC_SUCCESS);
5315: }

5317: /*@
5318:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5319:   convergence criteria for the linear solvers within an inexact
5320:   Newton method.

5322:   Not Collective

5324:   Input Parameter:
5325: . snes - `SNES` context

5327:   Output Parameters:
5328: + version   - version 1, 2 (default is 2), 3 or 4
5329: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5330: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5331: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5332: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5333: . alpha2    - power for safeguard
5334: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5336:   Level: advanced

5338: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5339: @*/
5340: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5341: {
5342:   SNESKSPEW *kctx;

5344:   PetscFunctionBegin;
5346:   kctx = (SNESKSPEW *)snes->kspconvctx;
5347:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5348:   if (version) *version = kctx->version;
5349:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5350:   if (rtol_max) *rtol_max = kctx->rtol_max;
5351:   if (gamma) *gamma = kctx->gamma;
5352:   if (alpha) *alpha = kctx->alpha;
5353:   if (alpha2) *alpha2 = kctx->alpha2;
5354:   if (threshold) *threshold = kctx->threshold;
5355:   PetscFunctionReturn(PETSC_SUCCESS);
5356: }

5358: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5359: {
5360:   SNES       snes = (SNES)ctx;
5361:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5362:   PetscReal  rtol = PETSC_DEFAULT, stol;

5364:   PetscFunctionBegin;
5365:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5366:   if (!snes->iter) {
5367:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5368:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5369:   } else {
5370:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5371:     if (kctx->version == 1) {
5372:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5373:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5374:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5375:     } else if (kctx->version == 2) {
5376:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5377:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5378:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5379:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5380:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5381:       /* safeguard: avoid sharp decrease of rtol */
5382:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5383:       stol = PetscMax(rtol, stol);
5384:       rtol = PetscMin(kctx->rtol_0, stol);
5385:       /* safeguard: avoid oversolving */
5386:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5387:       stol = PetscMax(rtol, stol);
5388:       rtol = PetscMin(kctx->rtol_0, stol);
5389:     } else /* if (kctx->version == 4) */ {
5390:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5391:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5392:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5393:       PetscReal rk   = ared / pred;
5394:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5395:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5396:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5397:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5399:       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;
5400:       kctx->rtol_last_2 = kctx->rtol_last;
5401:       kctx->rk_last_2   = kctx->rk_last;
5402:       kctx->rk_last     = rk;
5403:     }
5404:   }
5405:   /* safeguard: avoid rtol greater than rtol_max */
5406:   rtol = PetscMin(rtol, kctx->rtol_max);
5407:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT));
5408:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5409:   PetscFunctionReturn(PETSC_SUCCESS);
5410: }

5412: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5413: {
5414:   SNES       snes = (SNES)ctx;
5415:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5416:   PCSide     pcside;
5417:   Vec        lres;

5419:   PetscFunctionBegin;
5420:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5421:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5422:   kctx->norm_last = snes->norm;
5423:   if (kctx->version == 1 || kctx->version == 4) {
5424:     PC        pc;
5425:     PetscBool getRes;

5427:     PetscCall(KSPGetPC(ksp, &pc));
5428:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5429:     if (!getRes) {
5430:       KSPNormType normtype;

5432:       PetscCall(KSPGetNormType(ksp, &normtype));
5433:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5434:     }
5435:     PetscCall(KSPGetPCSide(ksp, &pcside));
5436:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5437:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5438:     } else {
5439:       /* KSP residual is preconditioned residual */
5440:       /* compute true linear residual norm */
5441:       Mat J;
5442:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5443:       PetscCall(VecDuplicate(b, &lres));
5444:       PetscCall(MatMult(J, x, lres));
5445:       PetscCall(VecAYPX(lres, -1.0, b));
5446:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5447:       PetscCall(VecDestroy(&lres));
5448:     }
5449:   }
5450:   PetscFunctionReturn(PETSC_SUCCESS);
5451: }

5453: /*@
5454:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5456:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5458:   Input Parameter:
5459: . snes - the `SNES` context

5461:   Output Parameter:
5462: . ksp - the `KSP` context

5464:   Level: beginner

5466:   Notes:
5467:   The user can then directly manipulate the `KSP` context to set various
5468:   options, etc.  Likewise, the user can then extract and manipulate the
5469:   `PC` contexts as well.

5471:   Some `SNESType`s do not use a `KSP` but a `KSP` is still returned by this function

5473: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5474: @*/
5475: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5476: {
5477:   PetscFunctionBegin;
5479:   PetscAssertPointer(ksp, 2);

5481:   if (!snes->ksp) {
5482:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5483:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5485:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5486:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5488:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5489:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5490:   }
5491:   *ksp = snes->ksp;
5492:   PetscFunctionReturn(PETSC_SUCCESS);
5493: }

5495: #include <petsc/private/dmimpl.h>
5496: /*@
5497:   SNESSetDM - Sets the `DM` that may be used by some nonlinear solvers or their underlying preconditioners

5499:   Logically Collective

5501:   Input Parameters:
5502: + snes - the nonlinear solver context
5503: - dm   - the `DM`, cannot be `NULL`

5505:   Level: intermediate

5507:   Note:
5508:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5509:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5510:   problems using the same function space.

5512: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5513: @*/
5514: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5515: {
5516:   KSP    ksp;
5517:   DMSNES sdm;

5519:   PetscFunctionBegin;
5522:   PetscCall(PetscObjectReference((PetscObject)dm));
5523:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5524:     if (snes->dm->dmsnes && !dm->dmsnes) {
5525:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5526:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5527:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5528:     }
5529:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5530:     PetscCall(DMDestroy(&snes->dm));
5531:   }
5532:   snes->dm     = dm;
5533:   snes->dmAuto = PETSC_FALSE;

5535:   PetscCall(SNESGetKSP(snes, &ksp));
5536:   PetscCall(KSPSetDM(ksp, dm));
5537:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5538:   if (snes->npc) {
5539:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5540:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5541:   }
5542:   PetscFunctionReturn(PETSC_SUCCESS);
5543: }

5545: /*@
5546:   SNESGetDM - Gets the `DM` that may be used by some solvers/preconditioners

5548:   Not Collective but dm obtained is parallel on snes

5550:   Input Parameter:
5551: . snes - the `SNES` context

5553:   Output Parameter:
5554: . dm - the `DM`

5556:   Level: intermediate

5558: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5559: @*/
5560: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5561: {
5562:   PetscFunctionBegin;
5564:   if (!snes->dm) {
5565:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5566:     snes->dmAuto = PETSC_TRUE;
5567:   }
5568:   *dm = snes->dm;
5569:   PetscFunctionReturn(PETSC_SUCCESS);
5570: }

5572: /*@
5573:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5575:   Collective

5577:   Input Parameters:
5578: + snes - iterative context obtained from `SNESCreate()`
5579: - npc  - the nonlinear preconditioner object

5581:   Level: developer

5583:   Notes:
5584:   Use `SNESGetNPC()` to retrieve the preconditioner context (for example,
5585:   to configure it using the API).

5587:   Only some `SNESType` can use a nonlinear preconditioner

5589: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5590: @*/
5591: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5592: {
5593:   PetscFunctionBegin;
5596:   PetscCheckSameComm(snes, 1, npc, 2);
5597:   PetscCall(PetscObjectReference((PetscObject)npc));
5598:   PetscCall(SNESDestroy(&snes->npc));
5599:   snes->npc = npc;
5600:   PetscFunctionReturn(PETSC_SUCCESS);
5601: }

5603: /*@
5604:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5606:   Not Collective; but any changes to the obtained the npc object must be applied collectively

5608:   Input Parameter:
5609: . snes - iterative context obtained from `SNESCreate()`

5611:   Output Parameter:
5612: . pc - preconditioner context

5614:   Options Database Key:
5615: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5617:   Level: developer

5619:   Notes:
5620:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created.

5622:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5623:   `SNES`

5625: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5626: @*/
5627: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5628: {
5629:   const char *optionsprefix;

5631:   PetscFunctionBegin;
5633:   PetscAssertPointer(pc, 2);
5634:   if (!snes->npc) {
5635:     void *ctx;

5637:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5638:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5639:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5640:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5641:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5642:     if (snes->ops->usercompute) {
5643:       PetscCall(SNESSetComputeApplicationContext(snes, snes->ops->usercompute, snes->ops->userdestroy));
5644:     } else {
5645:       PetscCall(SNESGetApplicationContext(snes, &ctx));
5646:       PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5647:     }
5648:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5649:   }
5650:   *pc = snes->npc;
5651:   PetscFunctionReturn(PETSC_SUCCESS);
5652: }

5654: /*@
5655:   SNESHasNPC - Returns whether a nonlinear preconditioner exists

5657:   Not Collective

5659:   Input Parameter:
5660: . snes - iterative context obtained from `SNESCreate()`

5662:   Output Parameter:
5663: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5665:   Level: developer

5667: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5668: @*/
5669: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5670: {
5671:   PetscFunctionBegin;
5673:   *has_npc = (PetscBool)(snes->npc ? PETSC_TRUE : PETSC_FALSE);
5674:   PetscFunctionReturn(PETSC_SUCCESS);
5675: }

5677: /*@
5678:   SNESSetNPCSide - Sets the nonlinear preconditioning side.

5680:   Logically Collective

5682:   Input Parameter:
5683: . snes - iterative context obtained from `SNESCreate()`

5685:   Output Parameter:
5686: . side - the preconditioning side, where side is one of
5687: .vb
5688:       PC_LEFT - left preconditioning
5689:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5690: .ve

5692:   Options Database Key:
5693: . -snes_npc_side <right,left> - nonlinear preconditioner side

5695:   Level: intermediate

5697:   Note:
5698:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5700: .seealso: [](ch_snes), `SNES`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5701: @*/
5702: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5703: {
5704:   PetscFunctionBegin;
5707:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5708:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5709:   snes->npcside = side;
5710:   PetscFunctionReturn(PETSC_SUCCESS);
5711: }

5713: /*@
5714:   SNESGetNPCSide - Gets the preconditioning side.

5716:   Not Collective

5718:   Input Parameter:
5719: . snes - iterative context obtained from `SNESCreate()`

5721:   Output Parameter:
5722: . side - the preconditioning side, where side is one of
5723: .vb
5724:       `PC_LEFT` - left preconditioning
5725:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5726: .ve

5728:   Level: intermediate

5730: .seealso: [](ch_snes), `SNES`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5731: @*/
5732: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5733: {
5734:   PetscFunctionBegin;
5736:   PetscAssertPointer(side, 2);
5737:   *side = snes->npcside;
5738:   PetscFunctionReturn(PETSC_SUCCESS);
5739: }

5741: /*@
5742:   SNESSetLineSearch - Sets the linesearch to be used for `SNES`

5744:   Collective

5746:   Input Parameters:
5747: + snes       - iterative context obtained from `SNESCreate()`
5748: - linesearch - the linesearch object

5750:   Level: developer

5752:   Note:
5753:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5754:   to configure it using the API).

5756: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5757: @*/
5758: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5759: {
5760:   PetscFunctionBegin;
5763:   PetscCheckSameComm(snes, 1, linesearch, 2);
5764:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5765:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5767:   snes->linesearch = linesearch;
5768:   PetscFunctionReturn(PETSC_SUCCESS);
5769: }

5771: /*@
5772:   SNESGetLineSearch - Returns the line search context possibly set with `SNESSetLineSearch()`
5773:   or creates a default line search instance associated with the `SNES` and returns it.

5775:   Not Collective

5777:   Input Parameter:
5778: . snes - iterative context obtained from `SNESCreate()`

5780:   Output Parameter:
5781: . linesearch - linesearch context

5783:   Level: beginner

5785: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`
5786: @*/
5787: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5788: {
5789:   const char *optionsprefix;

5791:   PetscFunctionBegin;
5793:   PetscAssertPointer(linesearch, 2);
5794:   if (!snes->linesearch) {
5795:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5796:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5797:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5798:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5799:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5800:   }
5801:   *linesearch = snes->linesearch;
5802:   PetscFunctionReturn(PETSC_SUCCESS);
5803: }