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()`, `SNESFunction`, `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()`, `SNESFunction()`, `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()`, `SNESFunction()`, `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()`, `SNESFunction()`, `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:     PetscErrorCode (*cJ)(SNES, Vec, Mat, Mat, void *);
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:   PetscErrorCode (*jac)(SNES, Vec, Mat, Mat, void *) = 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: .seealso: [](ch_snes), `SNES`, `SNESSetUp()`
730: @*/
731: PetscErrorCode SNESSetUpMatrices(SNES snes)
732: {
733:   DM     dm;
734:   DMSNES sdm;

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

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

782: static PetscErrorCode SNESMonitorPauseFinal_Internal(SNES snes)
783: {
784:   PetscInt i;

786:   PetscFunctionBegin;
787:   if (!snes->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
788:   for (i = 0; i < snes->numbermonitors; ++i) {
789:     PetscViewerAndFormat *vf = (PetscViewerAndFormat *)snes->monitorcontext[i];
790:     PetscDraw             draw;
791:     PetscReal             lpause;

793:     if (!vf) continue;
794:     if (vf->lg) {
795:       if (!PetscCheckPointer(vf->lg, PETSC_OBJECT)) continue;
796:       if (((PetscObject)vf->lg)->classid != PETSC_DRAWLG_CLASSID) continue;
797:       PetscCall(PetscDrawLGGetDraw(vf->lg, &draw));
798:       PetscCall(PetscDrawGetPause(draw, &lpause));
799:       PetscCall(PetscDrawSetPause(draw, -1.0));
800:       PetscCall(PetscDrawPause(draw));
801:       PetscCall(PetscDrawSetPause(draw, lpause));
802:     } else {
803:       PetscBool isdraw;

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

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

822:   Collective

824:   Input Parameters:
825: + snes         - `SNES` object you wish to monitor
826: . name         - the monitor type one is seeking
827: . help         - message indicating what monitoring is done
828: . manual       - manual page for the monitor
829: . monitor      - the monitor function
830: - 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

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

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

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

845:   Level: advanced

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

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

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

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

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

901:   Collective

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

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

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

948:   Level: beginner

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

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

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

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

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

994:   PetscCall(PetscOptionsInt("-snes_lag_preconditioner", "How often to rebuild preconditioner", "SNESSetLagPreconditioner", snes->lagpreconditioner, &lag, &flg));
995:   if (flg) {
996:     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");
997:     PetscCall(SNESSetLagPreconditioner(snes, lag));
998:   }
999:   PetscCall(PetscOptionsBool("-snes_lag_preconditioner_persists", "Preconditioner lagging through multiple SNES solves", "SNESSetLagPreconditionerPersists", snes->lagjac_persist, &persist, &flg));
1000:   if (flg) PetscCall(SNESSetLagPreconditionerPersists(snes, persist));
1001:   PetscCall(PetscOptionsInt("-snes_lag_jacobian", "How often to rebuild Jacobian", "SNESSetLagJacobian", snes->lagjacobian, &lag, &flg));
1002:   if (flg) {
1003:     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");
1004:     PetscCall(SNESSetLagJacobian(snes, lag));
1005:   }
1006:   PetscCall(PetscOptionsBool("-snes_lag_jacobian_persists", "Jacobian lagging through multiple SNES solves", "SNESSetLagJacobianPersists", snes->lagjac_persist, &persist, &flg));
1007:   if (flg) PetscCall(SNESSetLagJacobianPersists(snes, persist));

1009:   PetscCall(PetscOptionsInt("-snes_grid_sequence", "Use grid sequencing to generate initial guess", "SNESSetGridSequence", snes->gridsequence, &grids, &flg));
1010:   if (flg) PetscCall(SNESSetGridSequence(snes, grids));

1012:   PetscCall(PetscOptionsEList("-snes_convergence_test", "Convergence test", "SNESSetConvergenceTest", convtests, PETSC_STATIC_ARRAY_LENGTH(convtests), "default", &indx, &flg));
1013:   if (flg) {
1014:     switch (indx) {
1015:     case 0:
1016:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedDefault, NULL, NULL));
1017:       break;
1018:     case 1:
1019:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedSkip, NULL, NULL));
1020:       break;
1021:     case 2:
1022:       PetscCall(SNESSetConvergenceTest(snes, SNESConvergedCorrectPressure, NULL, NULL));
1023:       break;
1024:     }
1025:   }

1027:   PetscCall(PetscOptionsEList("-snes_norm_schedule", "SNES Norm schedule", "SNESSetNormSchedule", SNESNormSchedules, 5, "function", &indx, &flg));
1028:   if (flg) PetscCall(SNESSetNormSchedule(snes, (SNESNormSchedule)indx));

1030:   PetscCall(PetscOptionsEList("-snes_function_type", "SNES Norm schedule", "SNESSetFunctionType", SNESFunctionTypes, 2, "unpreconditioned", &indx, &flg));
1031:   if (flg) PetscCall(SNESSetFunctionType(snes, (SNESFunctionType)indx));

1033:   kctx = (SNESKSPEW *)snes->kspconvctx;

1035:   PetscCall(PetscOptionsBool("-snes_ksp_ew", "Use Eisentat-Walker linear system convergence test", "SNESKSPSetUseEW", snes->ksp_ewconv, &snes->ksp_ewconv, NULL));

1037:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1038:   PetscCall(PetscSNPrintf(ewprefix, sizeof(ewprefix), "%s%s", optionsprefix ? optionsprefix : "", "snes_"));
1039:   PetscCall(SNESEWSetFromOptions_Private(kctx, PETSC_TRUE, PetscObjectComm((PetscObject)snes), ewprefix));

1041:   flg = PETSC_FALSE;
1042:   PetscCall(PetscOptionsBool("-snes_monitor_cancel", "Remove all monitors", "SNESMonitorCancel", flg, &flg, &set));
1043:   if (set && flg) PetscCall(SNESMonitorCancel(snes));

1045:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor", "Monitor norm of function", "SNESMonitorDefault", SNESMonitorDefault, SNESMonitorDefaultSetUp));
1046:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_short", "Monitor norm of function with fewer digits", "SNESMonitorDefaultShort", SNESMonitorDefaultShort, NULL));
1047:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_range", "Monitor range of elements of function", "SNESMonitorRange", SNESMonitorRange, NULL));

1049:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_ratio", "Monitor ratios of the norm of function for consecutive steps", "SNESMonitorRatio", SNESMonitorRatio, SNESMonitorRatioSetUp));
1050:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_field", "Monitor norm of function (split into fields)", "SNESMonitorDefaultField", SNESMonitorDefaultField, NULL));
1051:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution", "View solution at each iteration", "SNESMonitorSolution", SNESMonitorSolution, NULL));
1052:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_solution_update", "View correction at each iteration", "SNESMonitorSolutionUpdate", SNESMonitorSolutionUpdate, NULL));
1053:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_residual", "View residual at each iteration", "SNESMonitorResidual", SNESMonitorResidual, NULL));
1054:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_jacupdate_spectrum", "Print the change in the spectrum of the Jacobian", "SNESMonitorJacUpdateSpectrum", SNESMonitorJacUpdateSpectrum, NULL));
1055:   PetscCall(SNESMonitorSetFromOptions(snes, "-snes_monitor_fields", "Monitor norm of function per field", "SNESMonitorSet", SNESMonitorFields, NULL));
1056:   PetscCall(PetscOptionsBool("-snes_monitor_pause_final", "Pauses all draw monitors at the final iterate", "SNESMonitorPauseFinal_Internal", PETSC_FALSE, &snes->pauseFinal, NULL));

1058:   PetscCall(PetscOptionsString("-snes_monitor_python", "Use Python function", "SNESMonitorSet", NULL, monfilename, sizeof(monfilename), &flg));
1059:   if (flg) PetscCall(PetscPythonMonitorSet((PetscObject)snes, monfilename));

1061:   flg = PETSC_FALSE;
1062:   PetscCall(PetscOptionsBool("-snes_monitor_lg_range", "Plot function range at each iteration", "SNESMonitorLGRange", flg, &flg, NULL));
1063:   if (flg) {
1064:     PetscViewer ctx;

1066:     PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, NULL, PETSC_DECIDE, PETSC_DECIDE, 400, 300, &ctx));
1067:     PetscCall(SNESMonitorSet(snes, SNESMonitorLGRange, ctx, (PetscErrorCode(*)(void **))PetscViewerDestroy));
1068:   }

1070:   flg = PETSC_FALSE;
1071:   PetscCall(PetscOptionsBool("-snes_converged_reason_view_cancel", "Remove all converged reason viewers", "SNESConvergedReasonViewCancel", flg, &flg, &set));
1072:   if (set && flg) PetscCall(SNESConvergedReasonViewCancel(snes));

1074:   flg = PETSC_FALSE;
1075:   PetscCall(PetscOptionsBool("-snes_fd", "Use finite differences (slow) to compute Jacobian", "SNESComputeJacobianDefault", flg, &flg, NULL));
1076:   if (flg) {
1077:     void *functx;
1078:     DM    dm;
1079:     PetscCall(SNESGetDM(snes, &dm));
1080:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1081:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
1082:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefault, functx));
1083:     PetscCall(PetscInfo(snes, "Setting default finite difference Jacobian matrix\n"));
1084:   }

1086:   flg = PETSC_FALSE;
1087:   PetscCall(PetscOptionsBool("-snes_fd_function", "Use finite differences (slow) to compute function from user objective", "SNESObjectiveComputeFunctionDefaultFD", flg, &flg, NULL));
1088:   if (flg) PetscCall(SNESSetFunction(snes, NULL, SNESObjectiveComputeFunctionDefaultFD, NULL));

1090:   flg = PETSC_FALSE;
1091:   PetscCall(PetscOptionsBool("-snes_fd_color", "Use finite differences with coloring to compute Jacobian", "SNESComputeJacobianDefaultColor", flg, &flg, NULL));
1092:   if (flg) {
1093:     DM dm;
1094:     PetscCall(SNESGetDM(snes, &dm));
1095:     PetscCall(DMSNESUnsetJacobianContext_Internal(dm));
1096:     PetscCall(SNESSetJacobian(snes, snes->jacobian, snes->jacobian_pre, SNESComputeJacobianDefaultColor, NULL));
1097:     PetscCall(PetscInfo(snes, "Setting default finite difference coloring Jacobian matrix\n"));
1098:   }

1100:   flg = PETSC_FALSE;
1101:   PetscCall(PetscOptionsBool("-snes_mf_operator", "Use a Matrix-Free Jacobian with user-provided preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf_operator, &flg));
1102:   if (flg && snes->mf_operator) {
1103:     snes->mf_operator = PETSC_TRUE;
1104:     snes->mf          = PETSC_TRUE;
1105:   }
1106:   flg = PETSC_FALSE;
1107:   PetscCall(PetscOptionsBool("-snes_mf", "Use a Matrix-Free Jacobian with no preconditioner matrix", "SNESSetUseMatrixFree", PETSC_FALSE, &snes->mf, &flg));
1108:   if (!flg && snes->mf_operator) snes->mf = PETSC_TRUE;
1109:   PetscCall(PetscOptionsInt("-snes_mf_version", "Matrix-Free routines version 1 or 2", "None", snes->mf_version, &snes->mf_version, NULL));

1111:   flg = PETSC_FALSE;
1112:   PetscCall(SNESGetNPCSide(snes, &pcside));
1113:   PetscCall(PetscOptionsEnum("-snes_npc_side", "SNES nonlinear preconditioner side", "SNESSetNPCSide", PCSides, (PetscEnum)pcside, (PetscEnum *)&pcside, &flg));
1114:   if (flg) PetscCall(SNESSetNPCSide(snes, pcside));

1116: #if defined(PETSC_HAVE_SAWS)
1117:   /*
1118:     Publish convergence information using SAWs
1119:   */
1120:   flg = PETSC_FALSE;
1121:   PetscCall(PetscOptionsBool("-snes_monitor_saws", "Publish SNES progress using SAWs", "SNESMonitorSet", flg, &flg, NULL));
1122:   if (flg) {
1123:     void *ctx;
1124:     PetscCall(SNESMonitorSAWsCreate(snes, &ctx));
1125:     PetscCall(SNESMonitorSet(snes, SNESMonitorSAWs, ctx, SNESMonitorSAWsDestroy));
1126:   }
1127: #endif
1128: #if defined(PETSC_HAVE_SAWS)
1129:   {
1130:     PetscBool set;
1131:     flg = PETSC_FALSE;
1132:     PetscCall(PetscOptionsBool("-snes_saws_block", "Block for SAWs at end of SNESSolve", "PetscObjectSAWsBlock", ((PetscObject)snes)->amspublishblock, &flg, &set));
1133:     if (set) PetscCall(PetscObjectSAWsSetBlock((PetscObject)snes, flg));
1134:   }
1135: #endif

1137:   for (i = 0; i < numberofsetfromoptions; i++) PetscCall((*othersetfromoptions[i])(snes));

1139:   PetscTryTypeMethod(snes, setfromoptions, PetscOptionsObject);

1141:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
1142:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)snes, PetscOptionsObject));
1143:   PetscOptionsEnd();

1145:   if (snes->linesearch) {
1146:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
1147:     PetscCall(SNESLineSearchSetFromOptions(snes->linesearch));
1148:   }

1150:   if (snes->usesksp) {
1151:     if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
1152:     PetscCall(KSPSetOperators(snes->ksp, snes->jacobian, snes->jacobian_pre));
1153:     PetscCall(KSPSetFromOptions(snes->ksp));
1154:   }

1156:   /* if user has set the SNES NPC type via options database, create it. */
1157:   PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
1158:   PetscCall(PetscOptionsHasName(((PetscObject)snes)->options, optionsprefix, "-npc_snes_type", &pcset));
1159:   if (pcset && (!snes->npc)) PetscCall(SNESGetNPC(snes, &snes->npc));
1160:   if (snes->npc) PetscCall(SNESSetFromOptions(snes->npc));
1161:   snes->setfromoptionscalled++;
1162:   PetscFunctionReturn(PETSC_SUCCESS);
1163: }

1165: /*@
1166:   SNESResetFromOptions - Sets various `SNES` and `KSP` parameters from user options ONLY if the `SNESSetFromOptions()` was previously called

1168:   Collective

1170:   Input Parameter:
1171: . snes - the `SNES` context

1173:   Level: advanced

1175: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESSetOptionsPrefix()`
1176: @*/
1177: PetscErrorCode SNESResetFromOptions(SNES snes)
1178: {
1179:   PetscFunctionBegin;
1180:   if (snes->setfromoptionscalled) PetscCall(SNESSetFromOptions(snes));
1181:   PetscFunctionReturn(PETSC_SUCCESS);
1182: }

1184: /*@C
1185:   SNESSetComputeApplicationContext - Sets an optional function to compute a user-defined context for
1186:   the nonlinear solvers.

1188:   Logically Collective; No Fortran Support

1190:   Input Parameters:
1191: + snes    - the `SNES` context
1192: . compute - function to compute the context
1193: - destroy - function to destroy the context

1195:   Calling sequence of `compute`:
1196: + snes - the `SNES` context
1197: - ctx  - context to be computed

1199:   Calling sequence of `destroy`:
1200: . ctx - context to be computed by `compute()`

1202:   Level: intermediate

1204:   Note:
1205:   This routine is useful if you are performing grid sequencing or using `SNESFAS` and need the appropriate context generated for each level.

1207:   Use `SNESSetApplicationContext()` to see the context immediately

1209: .seealso: [](ch_snes), `SNESGetApplicationContext()`, `SNESSetApplicationContext()`
1210: @*/
1211: PetscErrorCode SNESSetComputeApplicationContext(SNES snes, PetscErrorCode (*compute)(SNES snes, void **ctx), PetscErrorCode (*destroy)(void **ctx))
1212: {
1213:   PetscFunctionBegin;
1215:   snes->ops->usercompute = compute;
1216:   snes->ops->userdestroy = destroy;
1217:   PetscFunctionReturn(PETSC_SUCCESS);
1218: }

1220: /*@
1221:   SNESSetApplicationContext - Sets the optional user-defined context for the nonlinear solvers.

1223:   Logically Collective

1225:   Input Parameters:
1226: + snes - the `SNES` context
1227: - usrP - optional user context

1229:   Level: intermediate

1231:   Notes:
1232:   Users can provide a context when constructing the `SNES` options and then access it inside their function, Jacobian, or other evaluation function
1233:   with `SNESGetApplicationContext()`

1235:   To provide a function that computes the context for you use `SNESSetComputeApplicationContext()`

1237:   Fortran Note:
1238:   You must write a Fortran interface definition for this
1239:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1241: .seealso: [](ch_snes), `SNES`, `SNESSetComputeApplicationContext()`, `SNESGetApplicationContext()`
1242: @*/
1243: PetscErrorCode SNESSetApplicationContext(SNES snes, void *usrP)
1244: {
1245:   KSP ksp;

1247:   PetscFunctionBegin;
1249:   PetscCall(SNESGetKSP(snes, &ksp));
1250:   PetscCall(KSPSetApplicationContext(ksp, usrP));
1251:   snes->user = usrP;
1252:   PetscFunctionReturn(PETSC_SUCCESS);
1253: }

1255: /*@
1256:   SNESGetApplicationContext - Gets the user-defined context for the
1257:   nonlinear solvers set with `SNESGetApplicationContext()` or `SNESSetComputeApplicationContext()`

1259:   Not Collective

1261:   Input Parameter:
1262: . snes - `SNES` context

1264:   Output Parameter:
1265: . usrP - user context

1267:   Level: intermediate

1269:   Fortran Note:
1270:   You must write a Fortran interface definition for this
1271:   function that tells Fortran the Fortran derived data type that you are passing in as the `usrP` argument.

1273: .seealso: [](ch_snes), `SNESSetApplicationContext()`, `SNESSetComputeApplicationContext()`
1274: @*/
1275: PetscErrorCode SNESGetApplicationContext(SNES snes, void *usrP)
1276: {
1277:   PetscFunctionBegin;
1279:   *(void **)usrP = snes->user;
1280:   PetscFunctionReturn(PETSC_SUCCESS);
1281: }

1283: /*@
1284:   SNESSetUseMatrixFree - indicates that `SNES` should use matrix-free finite difference matrix-vector products to apply the Jacobian.

1286:   Logically Collective

1288:   Input Parameters:
1289: + snes        - `SNES` context
1290: . mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1291: - 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
1292:    this option no matrix-element based preconditioners can be used in the linear solve since the matrix won't be explicitly available

1294:   Options Database Keys:
1295: + -snes_mf_operator - use matrix-free only for the mat operator
1296: . -snes_mf          - use matrix-free for both the mat and pmat operator
1297: . -snes_fd_color    - compute the Jacobian via coloring and finite differences.
1298: - -snes_fd          - compute the Jacobian via finite differences (slow)

1300:   Level: intermediate

1302:   Note:
1303:   `SNES` supports three approaches for computing (approximate) Jacobians: user provided via `SNESSetJacobian()`, matrix-free using `MatCreateSNESMF()`,
1304:   and computing explicitly with
1305:   finite differences and coloring using `MatFDColoring`. It is also possible to use automatic differentiation and the `MatFDColoring` object.

1307: .seealso: [](ch_snes), `SNES`, `SNESGetUseMatrixFree()`, `MatCreateSNESMF()`, `SNESComputeJacobianDefaultColor()`, `MatFDColoring`
1308: @*/
1309: PetscErrorCode SNESSetUseMatrixFree(SNES snes, PetscBool mf_operator, PetscBool mf)
1310: {
1311:   PetscFunctionBegin;
1315:   snes->mf          = mf_operator ? PETSC_TRUE : mf;
1316:   snes->mf_operator = mf_operator;
1317:   PetscFunctionReturn(PETSC_SUCCESS);
1318: }

1320: /*@
1321:   SNESGetUseMatrixFree - indicates if the `SNES` uses matrix-free finite difference matrix vector products to apply the Jacobian.

1323:   Not Collective, but the resulting flags will be the same on all MPI processes

1325:   Input Parameter:
1326: . snes - `SNES` context

1328:   Output Parameters:
1329: + mf_operator - use matrix-free only for the Amat used by `SNESSetJacobian()`, this means the user provided Pmat will continue to be used
1330: - mf          - use matrix-free for both the Amat and Pmat used by `SNESSetJacobian()`, both the Amat and Pmat set in `SNESSetJacobian()` will be ignored

1332:   Level: intermediate

1334: .seealso: [](ch_snes), `SNES`, `SNESSetUseMatrixFree()`, `MatCreateSNESMF()`
1335: @*/
1336: PetscErrorCode SNESGetUseMatrixFree(SNES snes, PetscBool *mf_operator, PetscBool *mf)
1337: {
1338:   PetscFunctionBegin;
1340:   if (mf) *mf = snes->mf;
1341:   if (mf_operator) *mf_operator = snes->mf_operator;
1342:   PetscFunctionReturn(PETSC_SUCCESS);
1343: }

1345: /*@
1346:   SNESGetIterationNumber - Gets the number of nonlinear iterations completed in the current or most recent `SNESSolve()`

1348:   Not Collective

1350:   Input Parameter:
1351: . snes - `SNES` context

1353:   Output Parameter:
1354: . iter - iteration number

1356:   Level: intermediate

1358:   Notes:
1359:   For example, during the computation of iteration 2 this would return 1.

1361:   This is useful for using lagged Jacobians (where one does not recompute the
1362:   Jacobian at each `SNES` iteration). For example, the code
1363: .vb
1364:       ierr = SNESGetIterationNumber(snes,&it);
1365:       if (!(it % 2)) {
1366:         [compute Jacobian here]
1367:       }
1368: .ve
1369:   can be used in your function that computes the Jacobian to cause the Jacobian to be
1370:   recomputed every second `SNES` iteration. See also `SNESSetLagJacobian()`

1372:   After the `SNES` solve is complete this will return the number of nonlinear iterations used.

1374: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetLagJacobian()`, `SNESGetLinearSolveIterations()`, `SNESSetMonitor()`
1375: @*/
1376: PetscErrorCode SNESGetIterationNumber(SNES snes, PetscInt *iter)
1377: {
1378:   PetscFunctionBegin;
1380:   PetscAssertPointer(iter, 2);
1381:   *iter = snes->iter;
1382:   PetscFunctionReturn(PETSC_SUCCESS);
1383: }

1385: /*@
1386:   SNESSetIterationNumber - Sets the current iteration number.

1388:   Not Collective

1390:   Input Parameters:
1391: + snes - `SNES` context
1392: - iter - iteration number

1394:   Level: developer

1396:   Note:
1397:   This should only be called inside a `SNES` nonlinear solver.

1399: .seealso: [](ch_snes), `SNESGetLinearSolveIterations()`
1400: @*/
1401: PetscErrorCode SNESSetIterationNumber(SNES snes, PetscInt iter)
1402: {
1403:   PetscFunctionBegin;
1405:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
1406:   snes->iter = iter;
1407:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
1408:   PetscFunctionReturn(PETSC_SUCCESS);
1409: }

1411: /*@
1412:   SNESGetNonlinearStepFailures - Gets the number of unsuccessful steps
1413:   attempted by the nonlinear solver in the current or most recent `SNESSolve()` .

1415:   Not Collective

1417:   Input Parameter:
1418: . snes - `SNES` context

1420:   Output Parameter:
1421: . nfails - number of unsuccessful steps attempted

1423:   Level: intermediate

1425:   Note:
1426:   This counter is reset to zero for each successive call to `SNESSolve()`.

1428: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1429:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetMaxNonlinearStepFailures()`
1430: @*/
1431: PetscErrorCode SNESGetNonlinearStepFailures(SNES snes, PetscInt *nfails)
1432: {
1433:   PetscFunctionBegin;
1435:   PetscAssertPointer(nfails, 2);
1436:   *nfails = snes->numFailures;
1437:   PetscFunctionReturn(PETSC_SUCCESS);
1438: }

1440: /*@
1441:   SNESSetMaxNonlinearStepFailures - Sets the maximum number of unsuccessful steps
1442:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1444:   Not Collective

1446:   Input Parameters:
1447: + snes     - `SNES` context
1448: - maxFails - maximum of unsuccessful steps

1450:   Options Database Key:
1451: . -snes_max_fail <n> - maximum number of unsuccessful steps allowed

1453:   Level: intermediate

1455:   Developer Note:
1456:   The options database key is wrong for this function name

1458: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1459:           `SNESGetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1460: @*/
1461: PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES snes, PetscInt maxFails)
1462: {
1463:   PetscFunctionBegin;
1465:   snes->maxFailures = maxFails;
1466:   PetscFunctionReturn(PETSC_SUCCESS);
1467: }

1469: /*@
1470:   SNESGetMaxNonlinearStepFailures - Gets the maximum number of unsuccessful steps
1471:   attempted by the nonlinear solver before it gives up and returns unconverged or generates an error

1473:   Not Collective

1475:   Input Parameter:
1476: . snes - `SNES` context

1478:   Output Parameter:
1479: . maxFails - maximum of unsuccessful steps

1481:   Level: intermediate

1483: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`,
1484:           `SNESSetMaxNonlinearStepFailures()`, `SNESGetNonlinearStepFailures()`
1485: @*/
1486: PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES snes, PetscInt *maxFails)
1487: {
1488:   PetscFunctionBegin;
1490:   PetscAssertPointer(maxFails, 2);
1491:   *maxFails = snes->maxFailures;
1492:   PetscFunctionReturn(PETSC_SUCCESS);
1493: }

1495: /*@
1496:   SNESGetNumberFunctionEvals - Gets the number of user provided function evaluations
1497:   done by the `SNES` object in the current or most recent `SNESSolve()`

1499:   Not Collective

1501:   Input Parameter:
1502: . snes - `SNES` context

1504:   Output Parameter:
1505: . nfuncs - number of evaluations

1507:   Level: intermediate

1509:   Note:
1510:   Reset every time `SNESSolve()` is called unless `SNESSetCountersReset()` is used.

1512: .seealso: [](ch_snes), `SNES`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`, `SNESGetLinearSolveFailures()`, `SNESSetCountersReset()`
1513: @*/
1514: PetscErrorCode SNESGetNumberFunctionEvals(SNES snes, PetscInt *nfuncs)
1515: {
1516:   PetscFunctionBegin;
1518:   PetscAssertPointer(nfuncs, 2);
1519:   *nfuncs = snes->nfuncs;
1520:   PetscFunctionReturn(PETSC_SUCCESS);
1521: }

1523: /*@
1524:   SNESGetLinearSolveFailures - Gets the number of failed (non-converged)
1525:   linear solvers in the current or most recent `SNESSolve()`

1527:   Not Collective

1529:   Input Parameter:
1530: . snes - `SNES` context

1532:   Output Parameter:
1533: . nfails - number of failed solves

1535:   Options Database Key:
1536: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1538:   Level: intermediate

1540:   Note:
1541:   This counter is reset to zero for each successive call to `SNESSolve()`.

1543: .seealso: [](ch_snes), `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`
1544: @*/
1545: PetscErrorCode SNESGetLinearSolveFailures(SNES snes, PetscInt *nfails)
1546: {
1547:   PetscFunctionBegin;
1549:   PetscAssertPointer(nfails, 2);
1550:   *nfails = snes->numLinearSolveFailures;
1551:   PetscFunctionReturn(PETSC_SUCCESS);
1552: }

1554: /*@
1555:   SNESSetMaxLinearSolveFailures - the number of failed linear solve attempts
1556:   allowed before `SNES` returns with a diverged reason of `SNES_DIVERGED_LINEAR_SOLVE`

1558:   Logically Collective

1560:   Input Parameters:
1561: + snes     - `SNES` context
1562: - maxFails - maximum allowed linear solve failures

1564:   Options Database Key:
1565: . -snes_max_linear_solve_fail <num> - The number of failures before the solve is terminated

1567:   Level: intermediate

1569:   Note:
1570:   By default this is 0; that is `SNES` returns on the first failed linear solve

1572:   Developer Note:
1573:   The options database key is wrong for this function name

1575: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESGetLinearSolveIterations()`
1576: @*/
1577: PetscErrorCode SNESSetMaxLinearSolveFailures(SNES snes, PetscInt maxFails)
1578: {
1579:   PetscFunctionBegin;
1582:   snes->maxLinearSolveFailures = maxFails;
1583:   PetscFunctionReturn(PETSC_SUCCESS);
1584: }

1586: /*@
1587:   SNESGetMaxLinearSolveFailures - gets the maximum number of linear solve failures that
1588:   are allowed before `SNES` returns as unsuccessful

1590:   Not Collective

1592:   Input Parameter:
1593: . snes - `SNES` context

1595:   Output Parameter:
1596: . maxFails - maximum of unsuccessful solves allowed

1598:   Level: intermediate

1600:   Note:
1601:   By default this is 1; that is `SNES` returns on the first failed linear solve

1603: .seealso: [](ch_snes), `SNESSetErrorIfNotConverged()`, `SNESGetLinearSolveFailures()`, `SNESGetLinearSolveIterations()`, `SNESSetMaxLinearSolveFailures()`,
1604: @*/
1605: PetscErrorCode SNESGetMaxLinearSolveFailures(SNES snes, PetscInt *maxFails)
1606: {
1607:   PetscFunctionBegin;
1609:   PetscAssertPointer(maxFails, 2);
1610:   *maxFails = snes->maxLinearSolveFailures;
1611:   PetscFunctionReturn(PETSC_SUCCESS);
1612: }

1614: /*@
1615:   SNESGetLinearSolveIterations - Gets the total number of linear iterations
1616:   used by the nonlinear solver in the most recent `SNESSolve()`

1618:   Not Collective

1620:   Input Parameter:
1621: . snes - `SNES` context

1623:   Output Parameter:
1624: . lits - number of linear iterations

1626:   Level: intermediate

1628:   Notes:
1629:   This counter is reset to zero for each successive call to `SNESSolve()` unless `SNESSetCountersReset()` is used.

1631:   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
1632:   then call `KSPGetIterationNumber()` after the failed solve.

1634: .seealso: [](ch_snes), `SNES`, `SNESGetIterationNumber()`, `SNESGetLinearSolveFailures()`, `SNESGetMaxLinearSolveFailures()`, `SNESSetCountersReset()`
1635: @*/
1636: PetscErrorCode SNESGetLinearSolveIterations(SNES snes, PetscInt *lits)
1637: {
1638:   PetscFunctionBegin;
1640:   PetscAssertPointer(lits, 2);
1641:   *lits = snes->linear_its;
1642:   PetscFunctionReturn(PETSC_SUCCESS);
1643: }

1645: /*@
1646:   SNESSetCountersReset - Sets whether or not the counters for linear iterations and function evaluations
1647:   are reset every time `SNESSolve()` is called.

1649:   Logically Collective

1651:   Input Parameters:
1652: + snes  - `SNES` context
1653: - reset - whether to reset the counters or not, defaults to `PETSC_TRUE`

1655:   Level: developer

1657: .seealso: [](ch_snes), `SNESGetNumberFunctionEvals()`, `SNESGetLinearSolveIterations()`, `SNESGetNPC()`
1658: @*/
1659: PetscErrorCode SNESSetCountersReset(SNES snes, PetscBool reset)
1660: {
1661:   PetscFunctionBegin;
1664:   snes->counters_reset = reset;
1665:   PetscFunctionReturn(PETSC_SUCCESS);
1666: }

1668: /*@
1669:   SNESSetKSP - Sets a `KSP` context for the `SNES` object to use

1671:   Not Collective, but the `SNES` and `KSP` objects must live on the same `MPI_Comm`

1673:   Input Parameters:
1674: + snes - the `SNES` context
1675: - ksp  - the `KSP` context

1677:   Level: developer

1679:   Notes:
1680:   The `SNES` object already has its `KSP` object, you can obtain with `SNESGetKSP()`
1681:   so this routine is rarely needed.

1683:   The `KSP` object that is already in the `SNES` object has its reference count
1684:   decreased by one when this is called.

1686: .seealso: [](ch_snes), `SNES`, `KSP`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`
1687: @*/
1688: PetscErrorCode SNESSetKSP(SNES snes, KSP ksp)
1689: {
1690:   PetscFunctionBegin;
1693:   PetscCheckSameComm(snes, 1, ksp, 2);
1694:   PetscCall(PetscObjectReference((PetscObject)ksp));
1695:   if (snes->ksp) PetscCall(PetscObjectDereference((PetscObject)snes->ksp));
1696:   snes->ksp = ksp;
1697:   PetscFunctionReturn(PETSC_SUCCESS);
1698: }

1700: /*@
1701:   SNESCreate - Creates a nonlinear solver context used to manage a set of nonlinear solves

1703:   Collective

1705:   Input Parameter:
1706: . comm - MPI communicator

1708:   Output Parameter:
1709: . outsnes - the new `SNES` context

1711:   Options Database Keys:
1712: + -snes_mf          - Activates default matrix-free Jacobian-vector products, and no preconditioning matrix
1713: . -snes_mf_operator - Activates default matrix-free Jacobian-vector products, and a user-provided preconditioning matrix
1714:                as set by `SNESSetJacobian()`
1715: . -snes_fd_coloring - uses a relative fast computation of the Jacobian using finite differences and a graph coloring
1716: - -snes_fd          - Uses (slow!) finite differences to compute Jacobian

1718:   Level: beginner

1720:   Developer Notes:
1721:   `SNES` always creates a `KSP` object even though many `SNES` methods do not use it. This is
1722:   unfortunate and should be fixed at some point. The flag snes->usesksp indicates if the
1723:   particular method does use `KSP` and regulates if the information about the `KSP` is printed
1724:   in `SNESView()`.

1726:   `TSSetFromOptions()` does call `SNESSetFromOptions()` which can lead to users being confused
1727:   by help messages about meaningless `SNES` options.

1729:   `SNES` always creates the snes->kspconvctx even though it is used by only one type. This should be fixed.

1731: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESDestroy()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
1732: @*/
1733: PetscErrorCode SNESCreate(MPI_Comm comm, SNES *outsnes)
1734: {
1735:   SNES       snes;
1736:   SNESKSPEW *kctx;

1738:   PetscFunctionBegin;
1739:   PetscAssertPointer(outsnes, 2);
1740:   *outsnes = NULL;
1741:   PetscCall(SNESInitializePackage());

1743:   PetscCall(PetscHeaderCreate(snes, SNES_CLASSID, "SNES", "Nonlinear solver", "SNES", comm, SNESDestroy, SNESView));

1745:   snes->ops->converged       = SNESConvergedDefault;
1746:   snes->usesksp              = PETSC_TRUE;
1747:   snes->tolerancesset        = PETSC_FALSE;
1748:   snes->max_its              = 50;
1749:   snes->max_funcs            = 10000;
1750:   snes->norm                 = 0.0;
1751:   snes->xnorm                = 0.0;
1752:   snes->ynorm                = 0.0;
1753:   snes->normschedule         = SNES_NORM_ALWAYS;
1754:   snes->functype             = SNES_FUNCTION_DEFAULT;
1755:   snes->rtol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1756:   snes->ttol                 = 0.0;
1757:   snes->abstol               = PetscDefined(USE_REAL_SINGLE) ? 1.e-25 : 1.e-50;
1758:   snes->stol                 = PetscDefined(USE_REAL_SINGLE) ? 1.e-5 : 1.e-8;
1759:   snes->deltatol             = PetscDefined(USE_REAL_SINGLE) ? 1.e-6 : 1.e-12;
1760:   snes->divtol               = 1.e4;
1761:   snes->rnorm0               = 0;
1762:   snes->nfuncs               = 0;
1763:   snes->numFailures          = 0;
1764:   snes->maxFailures          = 1;
1765:   snes->linear_its           = 0;
1766:   snes->lagjacobian          = 1;
1767:   snes->jac_iter             = 0;
1768:   snes->lagjac_persist       = PETSC_FALSE;
1769:   snes->lagpreconditioner    = 1;
1770:   snes->pre_iter             = 0;
1771:   snes->lagpre_persist       = PETSC_FALSE;
1772:   snes->numbermonitors       = 0;
1773:   snes->numberreasonviews    = 0;
1774:   snes->data                 = NULL;
1775:   snes->setupcalled          = PETSC_FALSE;
1776:   snes->ksp_ewconv           = PETSC_FALSE;
1777:   snes->nwork                = 0;
1778:   snes->work                 = NULL;
1779:   snes->nvwork               = 0;
1780:   snes->vwork                = NULL;
1781:   snes->conv_hist_len        = 0;
1782:   snes->conv_hist_max        = 0;
1783:   snes->conv_hist            = NULL;
1784:   snes->conv_hist_its        = NULL;
1785:   snes->conv_hist_reset      = PETSC_TRUE;
1786:   snes->counters_reset       = PETSC_TRUE;
1787:   snes->vec_func_init_set    = PETSC_FALSE;
1788:   snes->reason               = SNES_CONVERGED_ITERATING;
1789:   snes->npcside              = PC_RIGHT;
1790:   snes->setfromoptionscalled = 0;

1792:   snes->mf          = PETSC_FALSE;
1793:   snes->mf_operator = PETSC_FALSE;
1794:   snes->mf_version  = 1;

1796:   snes->numLinearSolveFailures = 0;
1797:   snes->maxLinearSolveFailures = 1;

1799:   snes->vizerotolerance     = 1.e-8;
1800:   snes->checkjacdomainerror = PetscDefined(USE_DEBUG) ? PETSC_TRUE : PETSC_FALSE;

1802:   /* Set this to true if the implementation of SNESSolve_XXX does compute the residual at the final solution. */
1803:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

1805:   /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
1806:   PetscCall(PetscNew(&kctx));

1808:   snes->kspconvctx  = (void *)kctx;
1809:   kctx->version     = 2;
1810:   kctx->rtol_0      = 0.3; /* Eisenstat and Walker suggest rtol_0=.5, but
1811:                              this was too large for some test cases */
1812:   kctx->rtol_last   = 0.0;
1813:   kctx->rtol_max    = 0.9;
1814:   kctx->gamma       = 1.0;
1815:   kctx->alpha       = 0.5 * (1.0 + PetscSqrtReal(5.0));
1816:   kctx->alpha2      = kctx->alpha;
1817:   kctx->threshold   = 0.1;
1818:   kctx->lresid_last = 0.0;
1819:   kctx->norm_last   = 0.0;

1821:   kctx->rk_last     = 0.0;
1822:   kctx->rk_last_2   = 0.0;
1823:   kctx->rtol_last_2 = 0.0;
1824:   kctx->v4_p1       = 0.1;
1825:   kctx->v4_p2       = 0.4;
1826:   kctx->v4_p3       = 0.7;
1827:   kctx->v4_m1       = 0.8;
1828:   kctx->v4_m2       = 0.5;
1829:   kctx->v4_m3       = 0.1;
1830:   kctx->v4_m4       = 0.5;

1832:   *outsnes = snes;
1833:   PetscFunctionReturn(PETSC_SUCCESS);
1834: }

1836: /*MC
1837:     SNESFunction - Functional form used to convey the nonlinear function to `SNES` in `SNESSetFunction()`

1839:      Synopsis:
1840:      #include "petscsnes.h"
1841:      PetscErrorCode SNESFunction(SNES snes,Vec x,Vec f,void *ctx);

1843:      Collective

1845:      Input Parameters:
1846: +     snes - the `SNES` context
1847: .     x    - state at which to evaluate residual
1848: -     ctx     - optional user-defined function context, passed in with `SNESSetFunction()`

1850:      Output Parameter:
1851: .     f  - vector to put residual (function value)

1853:    Level: intermediate

1855: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESGetFunction()`
1856: M*/

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

1863:   Logically Collective

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

1872:   Level: beginner

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

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

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

1898:   Logically Collective

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

1904:   Level: developer

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

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

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

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

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

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

1936:   Logically Collective

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

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

1945:   Level: advanced

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

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

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

1970:   Logically Collective

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

1976:   Level: advanced

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

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

1991:   Logically Collective

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

1997:   Level: developer

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

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

2012:   Not Collective

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

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

2020:   Level: developer

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

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

2036:   Not Collective

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

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

2044:   Level: developer

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

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

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

2063:   Not Collective

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

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

2071:   Level: developer

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

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

2088:   Logically Collective

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

2094:   Level: developer

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

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

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

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

2118:   Logically Collective

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

2124:   Level: advanced

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

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

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

2146:   Calling sequence of `f`:
2147: + snes - the `SNES` context
2148: . X    - the current solution
2149: . B    - the right hand side vector (which may be `NULL`)
2150: - ctx  - a user provided context

2152:   Level: intermediate

2154:   Note:
2155:   The `SNESNGS` routines are used by the composed nonlinear solver to generate
2156:   a problem appropriate update to the solution, particularly `SNESFAS`.

2158: .seealso: [](ch_snes), `SNESGetNGS()`, `SNESNCG`, `SNESGetFunction()`, `SNESComputeNGS()`
2159: @*/
2160: PetscErrorCode SNESSetNGS(SNES snes, PetscErrorCode (*f)(SNES snes, Vec X, Vec B, void *ctx), void *ctx)
2161: {
2162:   DM dm;

2164:   PetscFunctionBegin;
2166:   PetscCall(SNESGetDM(snes, &dm));
2167:   PetscCall(DMSNESSetNGS(dm, f, ctx));
2168:   PetscFunctionReturn(PETSC_SUCCESS);
2169: }

2171: /*
2172:      This is used for -snes_mf_operator; it uses a duplicate of snes->jacobian_pre because snes->jacobian_pre cannot be
2173:    changed during the KSPSolve()
2174: */
2175: PetscErrorCode SNESPicardComputeMFFunction(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:     /* Cannot share nonzero pattern because of the possible use of SNESComputeJacobianDefault() */
2188:     if (!snes->picard) PetscCall(MatDuplicate(snes->jacobian_pre, MAT_DO_NOT_COPY_VALUES, &snes->picard));
2189:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2190:     PetscCall(MatMultAdd(snes->picard, x, f, f));
2191:   } else {
2192:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->picard, snes->picard, sdm->pctx));
2193:     PetscCall(MatMult(snes->picard, x, f));
2194:   }
2195:   PetscFunctionReturn(PETSC_SUCCESS);
2196: }

2198: PetscErrorCode SNESPicardComputeFunction(SNES snes, Vec x, Vec f, void *ctx)
2199: {
2200:   DM     dm;
2201:   DMSNES sdm;

2203:   PetscFunctionBegin;
2204:   PetscCall(SNESGetDM(snes, &dm));
2205:   PetscCall(DMGetDMSNES(dm, &sdm));
2206:   /*  A(x)*x - b(x) */
2207:   if (sdm->ops->computepfunction) {
2208:     PetscCallBack("SNES Picard callback function", (*sdm->ops->computepfunction)(snes, x, f, sdm->pctx));
2209:     PetscCall(VecScale(f, -1.0));
2210:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2211:     PetscCall(MatMultAdd(snes->jacobian_pre, x, f, f));
2212:   } else {
2213:     PetscCallBack("SNES Picard callback Jacobian", (*sdm->ops->computepjacobian)(snes, x, snes->jacobian, snes->jacobian_pre, sdm->pctx));
2214:     PetscCall(MatMult(snes->jacobian_pre, x, f));
2215:   }
2216:   PetscFunctionReturn(PETSC_SUCCESS);
2217: }

2219: PetscErrorCode SNESPicardComputeJacobian(SNES snes, Vec x1, Mat J, Mat B, void *ctx)
2220: {
2221:   PetscFunctionBegin;
2222:   /* the jacobian matrix should be pre-filled in SNESPicardComputeFunction */
2223:   /* must assembly if matrix-free to get the last SNES solution */
2224:   PetscCall(MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY));
2225:   PetscCall(MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY));
2226:   PetscFunctionReturn(PETSC_SUCCESS);
2227: }

2229: /*@C
2230:   SNESSetPicard - Use `SNES` to solve the system $A(x) x = bp(x) + b $ via a Picard type iteration (Picard linearization)

2232:   Logically Collective

2234:   Input Parameters:
2235: + snes - the `SNES` context
2236: . r    - vector to store function values, may be `NULL`
2237: . bp   - function evaluation routine, may be `NULL`, for the calling sequence see `SNESJacobianFunction`
2238: . Amat - matrix with which A(x) x - bp(x) - b is to be computed
2239: . Pmat - matrix from which preconditioner is computed (usually the same as `Amat`)
2240: . J    - function to compute matrix values, for the calling sequence see `SNESJacobianFunction`
2241: - ctx  - [optional] user-defined context for private data for the function evaluation routine (may be `NULL`)

2243:   Level: intermediate

2245:   Notes:
2246:   It is often better to provide the nonlinear function F() and some approximation to its Jacobian directly and use
2247:   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.

2249:   One can call `SNESSetPicard()` or `SNESSetFunction()` (and possibly `SNESSetJacobian()`) but cannot call both

2251:   Solves the equation $A(x) x = bp(x) - b$ via the defect correction algorithm $A(x^{n}) (x^{n+1} - x^{n}) = bp(x^{n}) + b - A(x^{n})x^{n}$.
2252:   When an exact solver is used this corresponds to the "classic" Picard $A(x^{n}) x^{n+1} = bp(x^{n}) + b$ iteration.

2254:   Run with `-snes_mf_operator` to solve the system with Newton's method using A(x^{n}) to construct the preconditioner.

2256:   We implement the defect correction form of the Picard iteration because it converges much more generally when inexact linear solvers are used then
2257:   the direct Picard iteration $A(x^n) x^{n+1} = bp(x^n) + b$

2259:   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
2260:   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
2261:   different please contact us at petsc-dev@mcs.anl.gov and we'll have an entirely new argument \:-).

2263:   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
2264:   A(x^{n}) is used to build the preconditioner

2266:   When used with `-snes_fd` this will compute the true Jacobian (very slowly one column at at time) and thus represent Newton's method.

2268:   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
2269:   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
2270:   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`.
2271:   See the comment in src/snes/tutorials/ex15.c.

2273: .seealso: [](ch_snes), `SNES`, `SNESGetFunction()`, `SNESSetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESGetPicard()`, `SNESLineSearchPreCheckPicard()`, `SNESJacobianFunction`
2274: @*/
2275: PetscErrorCode SNESSetPicard(SNES snes, Vec r, PetscErrorCode (*bp)(SNES, Vec, Vec, void *), Mat Amat, Mat Pmat, PetscErrorCode (*J)(SNES, Vec, Mat, Mat, void *), void *ctx)
2276: {
2277:   DM dm;

2279:   PetscFunctionBegin;
2281:   PetscCall(SNESGetDM(snes, &dm));
2282:   PetscCall(DMSNESSetPicard(dm, bp, J, ctx));
2283:   PetscCall(DMSNESSetMFFunction(dm, SNESPicardComputeMFFunction, ctx));
2284:   PetscCall(SNESSetFunction(snes, r, SNESPicardComputeFunction, ctx));
2285:   PetscCall(SNESSetJacobian(snes, Amat, Pmat, SNESPicardComputeJacobian, ctx));
2286:   PetscFunctionReturn(PETSC_SUCCESS);
2287: }

2289: /*@C
2290:   SNESGetPicard - Returns the context for the Picard iteration

2292:   Not Collective, but `Vec` is parallel if `SNES` is parallel. Collective if `Vec` is requested, but has not been created yet.

2294:   Input Parameter:
2295: . snes - the `SNES` context

2297:   Output Parameters:
2298: + r    - the function (or `NULL`)
2299: . f    - the function (or `NULL`);  for calling sequence see `SNESFunction`
2300: . Amat - the matrix used to defined the operation A(x) x - b(x) (or `NULL`)
2301: . Pmat - the matrix from which the preconditioner will be constructed (or `NULL`)
2302: . J    - the function for matrix evaluation (or `NULL`);  for calling sequence see `SNESJacobianFunction`
2303: - ctx  - the function context (or `NULL`)

2305:   Level: advanced

2307: .seealso: [](ch_snes), `SNESSetFunction()`, `SNESSetPicard()`, `SNESGetFunction()`, `SNESGetJacobian()`, `SNESGetDM()`, `SNESFunction`, `SNESJacobianFunction`
2308: @*/
2309: PetscErrorCode SNESGetPicard(SNES snes, Vec *r, PetscErrorCode (**f)(SNES, Vec, Vec, void *), Mat *Amat, Mat *Pmat, PetscErrorCode (**J)(SNES, Vec, Mat, Mat, void *), void **ctx)
2310: {
2311:   DM dm;

2313:   PetscFunctionBegin;
2315:   PetscCall(SNESGetFunction(snes, r, NULL, NULL));
2316:   PetscCall(SNESGetJacobian(snes, Amat, Pmat, NULL, NULL));
2317:   PetscCall(SNESGetDM(snes, &dm));
2318:   PetscCall(DMSNESGetPicard(dm, f, J, ctx));
2319:   PetscFunctionReturn(PETSC_SUCCESS);
2320: }

2322: /*@C
2323:   SNESSetComputeInitialGuess - Sets a routine used to compute an initial guess for the nonlinear problem

2325:   Logically Collective

2327:   Input Parameters:
2328: + snes - the `SNES` context
2329: . func - function evaluation routine
2330: - ctx  - [optional] user-defined context for private data for the
2331:          function evaluation routine (may be `NULL`)

2333:   Calling sequence of `func`:
2334: + snes - the `SNES` solver
2335: . x    - vector to put initial guess
2336: - ctx  - optional user-defined function context

2338:   Level: intermediate

2340: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`
2341: @*/
2342: PetscErrorCode SNESSetComputeInitialGuess(SNES snes, PetscErrorCode (*func)(SNES snes, Vec x, void *ctx), void *ctx)
2343: {
2344:   PetscFunctionBegin;
2346:   if (func) snes->ops->computeinitialguess = func;
2347:   if (ctx) snes->initialguessP = ctx;
2348:   PetscFunctionReturn(PETSC_SUCCESS);
2349: }

2351: /*@C
2352:   SNESGetRhs - Gets the vector for solving F(x) = `rhs`. If `rhs` is not set
2353:   it assumes a zero right hand side.

2355:   Logically Collective

2357:   Input Parameter:
2358: . snes - the `SNES` context

2360:   Output Parameter:
2361: . rhs - the right hand side vector or `NULL` if there is no right-hand side vector

2363:   Level: intermediate

2365: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`, `SNESComputeFunction()`, `SNESSetJacobian()`, `SNESSetFunction()`
2366: @*/
2367: PetscErrorCode SNESGetRhs(SNES snes, Vec *rhs)
2368: {
2369:   PetscFunctionBegin;
2371:   PetscAssertPointer(rhs, 2);
2372:   *rhs = snes->vec_rhs;
2373:   PetscFunctionReturn(PETSC_SUCCESS);
2374: }

2376: /*@
2377:   SNESComputeFunction - Calls the function that has been set with `SNESSetFunction()`.

2379:   Collective

2381:   Input Parameters:
2382: + snes - the `SNES` context
2383: - x    - input vector

2385:   Output Parameter:
2386: . y - function vector, as set by `SNESSetFunction()`

2388:   Level: developer

2390:   Notes:
2391:   `SNESComputeFunction()` is typically used within nonlinear solvers
2392:   implementations, so users would not generally call this routine themselves.

2394:   When solving for $F(x) = b$, this routine computes $y = F(x) - b$.

2396: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeMFFunction()`
2397: @*/
2398: PetscErrorCode SNESComputeFunction(SNES snes, Vec x, Vec y)
2399: {
2400:   DM     dm;
2401:   DMSNES sdm;

2403:   PetscFunctionBegin;
2407:   PetscCheckSameComm(snes, 1, x, 2);
2408:   PetscCheckSameComm(snes, 1, y, 3);
2409:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2411:   PetscCall(SNESGetDM(snes, &dm));
2412:   PetscCall(DMGetDMSNES(dm, &sdm));
2413:   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().");
2414:   if (sdm->ops->computefunction) {
2415:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2416:     PetscCall(VecLockReadPush(x));
2417:     /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2418:     snes->domainerror = PETSC_FALSE;
2419:     {
2420:       void *ctx;
2421:       PetscErrorCode (*computefunction)(SNES, Vec, Vec, void *);
2422:       PetscCall(DMSNESGetFunction(dm, &computefunction, &ctx));
2423:       PetscCallBack("SNES callback function", (*computefunction)(snes, x, y, ctx));
2424:     }
2425:     PetscCall(VecLockReadPop(x));
2426:     if (sdm->ops->computefunction != SNESObjectiveComputeFunctionDefaultFD) PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2427:   } else /* if (snes->vec_rhs) */ {
2428:     PetscCall(MatMult(snes->jacobian, x, y));
2429:   }
2430:   if (snes->vec_rhs) PetscCall(VecAXPY(y, -1.0, snes->vec_rhs));
2431:   snes->nfuncs++;
2432:   /*
2433:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2434:      propagate the value to all processes
2435:   */
2436:   if (snes->domainerror) PetscCall(VecSetInf(y));
2437:   PetscFunctionReturn(PETSC_SUCCESS);
2438: }

2440: /*@
2441:   SNESComputeMFFunction - Calls the function that has been set with `SNESSetMFFunction()`.

2443:   Collective

2445:   Input Parameters:
2446: + snes - the `SNES` context
2447: - x    - input vector

2449:   Output Parameter:
2450: . y - function vector, as set by `SNESSetMFFunction()`

2452:   Level: developer

2454:   Notes:
2455:   `SNESComputeMFFunction()` is used within the matrix-vector products called by the matrix created with `MatCreateSNESMF()`
2456:   so users would not generally call this routine themselves.

2458:   Since this function is intended for use with finite differencing it does not subtract the right hand side vector provided with `SNESSolve()`
2459:   while `SNESComputeFunction()` does. As such, this routine cannot be used with  `MatMFFDSetBase()` with a provided F function value even if it applies the
2460:   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.

2462: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESComputeFunction()`, `MatCreateSNESMF`
2463: @*/
2464: PetscErrorCode SNESComputeMFFunction(SNES snes, Vec x, Vec y)
2465: {
2466:   DM     dm;
2467:   DMSNES sdm;

2469:   PetscFunctionBegin;
2473:   PetscCheckSameComm(snes, 1, x, 2);
2474:   PetscCheckSameComm(snes, 1, y, 3);
2475:   PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));

2477:   PetscCall(SNESGetDM(snes, &dm));
2478:   PetscCall(DMGetDMSNES(dm, &sdm));
2479:   PetscCall(PetscLogEventBegin(SNES_FunctionEval, snes, x, y, 0));
2480:   PetscCall(VecLockReadPush(x));
2481:   /* ensure domainerror is false prior to computefunction evaluation (may not have been reset) */
2482:   snes->domainerror = PETSC_FALSE;
2483:   PetscCallBack("SNES callback function", (*sdm->ops->computemffunction)(snes, x, y, sdm->mffunctionctx));
2484:   PetscCall(VecLockReadPop(x));
2485:   PetscCall(PetscLogEventEnd(SNES_FunctionEval, snes, x, y, 0));
2486:   snes->nfuncs++;
2487:   /*
2488:      domainerror might not be set on all processes; so we tag vector locally with Inf and the next inner product or norm will
2489:      propagate the value to all processes
2490:   */
2491:   if (snes->domainerror) PetscCall(VecSetInf(y));
2492:   PetscFunctionReturn(PETSC_SUCCESS);
2493: }

2495: /*@
2496:   SNESComputeNGS - Calls the Gauss-Seidel function that has been set with  `SNESSetNGS()`.

2498:   Collective

2500:   Input Parameters:
2501: + snes - the `SNES` context
2502: . x    - input vector
2503: - b    - rhs vector

2505:   Output Parameter:
2506: . x - new solution vector

2508:   Level: developer

2510:   Note:
2511:   `SNESComputeNGS()` is typically used within composed nonlinear solver
2512:   implementations, so most users would not generally call this routine
2513:   themselves.

2515: .seealso: [](ch_snes), `SNESNGS`, `SNESSetNGS()`, `SNESComputeFunction()`
2516: @*/
2517: PetscErrorCode SNESComputeNGS(SNES snes, Vec b, Vec x)
2518: {
2519:   DM     dm;
2520:   DMSNES sdm;

2522:   PetscFunctionBegin;
2526:   PetscCheckSameComm(snes, 1, x, 3);
2527:   if (b) PetscCheckSameComm(snes, 1, b, 2);
2528:   if (b) PetscCall(VecValidValues_Internal(b, 2, PETSC_TRUE));
2529:   PetscCall(PetscLogEventBegin(SNES_NGSEval, snes, x, b, 0));
2530:   PetscCall(SNESGetDM(snes, &dm));
2531:   PetscCall(DMGetDMSNES(dm, &sdm));
2532:   PetscCheck(sdm->ops->computegs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must call SNESSetNGS() before SNESComputeNGS(), likely called from SNESSolve().");
2533:   if (b) PetscCall(VecLockReadPush(b));
2534:   PetscCallBack("SNES callback NGS", (*sdm->ops->computegs)(snes, x, b, sdm->gsctx));
2535:   if (b) PetscCall(VecLockReadPop(b));
2536:   PetscCall(PetscLogEventEnd(SNES_NGSEval, snes, x, b, 0));
2537:   PetscFunctionReturn(PETSC_SUCCESS);
2538: }

2540: PetscErrorCode SNESTestJacobian(SNES snes)
2541: {
2542:   Mat               A, B, C, D, jacobian;
2543:   Vec               x = snes->vec_sol, f = snes->vec_func;
2544:   PetscReal         nrm, gnorm;
2545:   PetscReal         threshold = 1.e-5;
2546:   MatType           mattype;
2547:   PetscInt          m, n, M, N;
2548:   void             *functx;
2549:   PetscBool         complete_print = PETSC_FALSE, threshold_print = PETSC_FALSE, test = PETSC_FALSE, flg, istranspose;
2550:   PetscViewer       viewer, mviewer;
2551:   MPI_Comm          comm;
2552:   PetscInt          tabs;
2553:   static PetscBool  directionsprinted = PETSC_FALSE;
2554:   PetscViewerFormat format;

2556:   PetscFunctionBegin;
2557:   PetscObjectOptionsBegin((PetscObject)snes);
2558:   PetscCall(PetscOptionsName("-snes_test_jacobian", "Compare hand-coded and finite difference Jacobians", "None", &test));
2559:   PetscCall(PetscOptionsReal("-snes_test_jacobian", "Threshold for element difference between hand-coded and finite difference being meaningful", "None", threshold, &threshold, NULL));
2560:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display", "-snes_test_jacobian_view", "3.13", NULL));
2561:   PetscCall(PetscOptionsViewer("-snes_test_jacobian_view", "View difference between hand-coded and finite difference Jacobians element entries", "None", &mviewer, &format, &complete_print));
2562:   PetscCall(PetscOptionsDeprecated("-snes_test_jacobian_display_threshold", "-snes_test_jacobian", "3.13", "-snes_test_jacobian accepts an optional threshold (since v3.10)"));
2563:   /* Cannot remove the what otherwise would be redundant call to (PetscOptionsReal("-snes_test_jacobian_display_threshold") below because its usage is different than the replacement usage */
2564:   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));
2565:   PetscOptionsEnd();
2566:   if (!test) PetscFunctionReturn(PETSC_SUCCESS);

2568:   PetscCall(PetscObjectGetComm((PetscObject)snes, &comm));
2569:   PetscCall(PetscViewerASCIIGetStdout(comm, &viewer));
2570:   PetscCall(PetscViewerASCIIGetTab(viewer, &tabs));
2571:   PetscCall(PetscViewerASCIISetTab(viewer, ((PetscObject)snes)->tablevel));
2572:   PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian -------------\n"));
2573:   if (!complete_print && !directionsprinted) {
2574:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Run with -snes_test_jacobian_view and optionally -snes_test_jacobian <threshold> to show difference\n"));
2575:     PetscCall(PetscViewerASCIIPrintf(viewer, "    of hand-coded and finite difference Jacobian entries greater than <threshold>.\n"));
2576:   }
2577:   if (!directionsprinted) {
2578:     PetscCall(PetscViewerASCIIPrintf(viewer, "  Testing hand-coded Jacobian, if (for double precision runs) ||J - Jfd||_F/||J||_F is\n"));
2579:     PetscCall(PetscViewerASCIIPrintf(viewer, "    O(1.e-8), the hand-coded Jacobian is probably correct.\n"));
2580:     directionsprinted = PETSC_TRUE;
2581:   }
2582:   if (complete_print) PetscCall(PetscViewerPushFormat(mviewer, format));

2584:   PetscCall(PetscObjectTypeCompare((PetscObject)snes->jacobian, MATMFFD, &flg));
2585:   if (!flg) jacobian = snes->jacobian;
2586:   else jacobian = snes->jacobian_pre;

2588:   if (!x) {
2589:     PetscCall(MatCreateVecs(jacobian, &x, NULL));
2590:   } else {
2591:     PetscCall(PetscObjectReference((PetscObject)x));
2592:   }
2593:   if (!f) {
2594:     PetscCall(VecDuplicate(x, &f));
2595:   } else {
2596:     PetscCall(PetscObjectReference((PetscObject)f));
2597:   }
2598:   /* evaluate the function at this point because SNESComputeJacobianDefault() assumes that the function has been evaluated and put into snes->vec_func */
2599:   PetscCall(SNESComputeFunction(snes, x, f));
2600:   PetscCall(VecDestroy(&f));
2601:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, SNESKSPTRANSPOSEONLY, &istranspose));
2602:   while (jacobian) {
2603:     Mat JT = NULL, Jsave = NULL;

2605:     if (istranspose) {
2606:       PetscCall(MatCreateTranspose(jacobian, &JT));
2607:       Jsave    = jacobian;
2608:       jacobian = JT;
2609:     }
2610:     PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)jacobian, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPISBAIJ, ""));
2611:     if (flg) {
2612:       A = jacobian;
2613:       PetscCall(PetscObjectReference((PetscObject)A));
2614:     } else {
2615:       PetscCall(MatComputeOperator(jacobian, MATAIJ, &A));
2616:     }

2618:     PetscCall(MatGetType(A, &mattype));
2619:     PetscCall(MatGetSize(A, &M, &N));
2620:     PetscCall(MatGetLocalSize(A, &m, &n));
2621:     PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &B));
2622:     PetscCall(MatSetType(B, mattype));
2623:     PetscCall(MatSetSizes(B, m, n, M, N));
2624:     PetscCall(MatSetBlockSizesFromMats(B, A, A));
2625:     PetscCall(MatSetUp(B));
2626:     PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2628:     PetscCall(SNESGetFunction(snes, NULL, NULL, &functx));
2629:     PetscCall(SNESComputeJacobianDefault(snes, x, B, B, functx));

2631:     PetscCall(MatDuplicate(B, MAT_COPY_VALUES, &D));
2632:     PetscCall(MatAYPX(D, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2633:     PetscCall(MatNorm(D, NORM_FROBENIUS, &nrm));
2634:     PetscCall(MatNorm(A, NORM_FROBENIUS, &gnorm));
2635:     PetscCall(MatDestroy(&D));
2636:     if (!gnorm) gnorm = 1; /* just in case */
2637:     PetscCall(PetscViewerASCIIPrintf(viewer, "  ||J - Jfd||_F/||J||_F = %g, ||J - Jfd||_F = %g\n", (double)(nrm / gnorm), (double)nrm));

2639:     if (complete_print) {
2640:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded Jacobian ----------\n"));
2641:       PetscCall(MatView(A, mviewer));
2642:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Finite difference Jacobian ----------\n"));
2643:       PetscCall(MatView(B, mviewer));
2644:     }

2646:     if (threshold_print || complete_print) {
2647:       PetscInt           Istart, Iend, *ccols, bncols, cncols, j, row;
2648:       PetscScalar       *cvals;
2649:       const PetscInt    *bcols;
2650:       const PetscScalar *bvals;

2652:       PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2653:       PetscCall(MatSetType(C, mattype));
2654:       PetscCall(MatSetSizes(C, m, n, M, N));
2655:       PetscCall(MatSetBlockSizesFromMats(C, A, A));
2656:       PetscCall(MatSetUp(C));
2657:       PetscCall(MatSetOption(C, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));

2659:       PetscCall(MatAYPX(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
2660:       PetscCall(MatGetOwnershipRange(B, &Istart, &Iend));

2662:       for (row = Istart; row < Iend; row++) {
2663:         PetscCall(MatGetRow(B, row, &bncols, &bcols, &bvals));
2664:         PetscCall(PetscMalloc2(bncols, &ccols, bncols, &cvals));
2665:         for (j = 0, cncols = 0; j < bncols; j++) {
2666:           if (PetscAbsScalar(bvals[j]) > threshold) {
2667:             ccols[cncols] = bcols[j];
2668:             cvals[cncols] = bvals[j];
2669:             cncols += 1;
2670:           }
2671:         }
2672:         if (cncols) PetscCall(MatSetValues(C, 1, &row, cncols, ccols, cvals, INSERT_VALUES));
2673:         PetscCall(MatRestoreRow(B, row, &bncols, &bcols, &bvals));
2674:         PetscCall(PetscFree2(ccols, cvals));
2675:       }
2676:       PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2677:       PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2678:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Hand-coded minus finite-difference Jacobian with tolerance %g ----------\n", (double)threshold));
2679:       PetscCall(MatView(C, complete_print ? mviewer : viewer));
2680:       PetscCall(MatDestroy(&C));
2681:     }
2682:     PetscCall(MatDestroy(&A));
2683:     PetscCall(MatDestroy(&B));
2684:     PetscCall(MatDestroy(&JT));
2685:     if (Jsave) jacobian = Jsave;
2686:     if (jacobian != snes->jacobian_pre) {
2687:       jacobian = snes->jacobian_pre;
2688:       PetscCall(PetscViewerASCIIPrintf(viewer, "  ---------- Testing Jacobian for preconditioner -------------\n"));
2689:     } else jacobian = NULL;
2690:   }
2691:   PetscCall(VecDestroy(&x));
2692:   if (complete_print) PetscCall(PetscViewerPopFormat(mviewer));
2693:   if (mviewer) PetscCall(PetscViewerDestroy(&mviewer));
2694:   PetscCall(PetscViewerASCIISetTab(viewer, tabs));
2695:   PetscFunctionReturn(PETSC_SUCCESS);
2696: }

2698: /*@
2699:   SNESComputeJacobian - Computes the Jacobian matrix that has been set with `SNESSetJacobian()`.

2701:   Collective

2703:   Input Parameters:
2704: + snes - the `SNES` context
2705: - X    - input vector

2707:   Output Parameters:
2708: + A - Jacobian matrix
2709: - B - optional matrix for building the preconditioner, usually the same as `A`

2711:   Options Database Keys:
2712: + -snes_lag_preconditioner <lag>           - how often to rebuild preconditioner
2713: . -snes_lag_jacobian <lag>                 - how often to rebuild Jacobian
2714: . -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.
2715: . -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
2716: . -snes_compare_explicit                   - Compare the computed Jacobian to the finite difference Jacobian and output the differences
2717: . -snes_compare_explicit_draw              - Compare the computed Jacobian to the finite difference Jacobian and draw the result
2718: . -snes_compare_explicit_contour           - Compare the computed Jacobian to the finite difference Jacobian and draw a contour plot with the result
2719: . -snes_compare_operator                   - Make the comparison options above use the operator instead of the preconditioning matrix
2720: . -snes_compare_coloring                   - Compute the finite difference Jacobian using coloring and display norms of difference
2721: . -snes_compare_coloring_display           - Compute the finite difference Jacobian using coloring and display verbose differences
2722: . -snes_compare_coloring_threshold         - Display only those matrix entries that differ by more than a given threshold
2723: . -snes_compare_coloring_threshold_atol    - Absolute tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2724: . -snes_compare_coloring_threshold_rtol    - Relative tolerance for difference in matrix entries to be displayed by `-snes_compare_coloring_threshold`
2725: . -snes_compare_coloring_draw              - Compute the finite difference Jacobian using coloring and draw differences
2726: - -snes_compare_coloring_draw_contour      - Compute the finite difference Jacobian using coloring and show contours of matrices and differences

2728:   Level: developer

2730:   Note:
2731:   Most users should not need to explicitly call this routine, as it
2732:   is used internally within the nonlinear solvers.

2734:   Developer Note:
2735:   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
2736:   with the `SNESType` of test that has been removed.

2738: .seealso: [](ch_snes), `SNESSetJacobian()`, `KSPSetOperators()`, `MatStructure`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobian()`
2739: @*/
2740: PetscErrorCode SNESComputeJacobian(SNES snes, Vec X, Mat A, Mat B)
2741: {
2742:   PetscBool flag;
2743:   DM        dm;
2744:   DMSNES    sdm;
2745:   KSP       ksp;

2747:   PetscFunctionBegin;
2750:   PetscCheckSameComm(snes, 1, X, 2);
2751:   PetscCall(VecValidValues_Internal(X, 2, PETSC_TRUE));
2752:   PetscCall(SNESGetDM(snes, &dm));
2753:   PetscCall(DMGetDMSNES(dm, &sdm));

2755:   /* make sure that MatAssemblyBegin/End() is called on A matrix if it is matrix-free */
2756:   if (snes->lagjacobian == -2) {
2757:     snes->lagjacobian = -1;

2759:     PetscCall(PetscInfo(snes, "Recomputing Jacobian/preconditioner because lag is -2 (means compute Jacobian, but then never again) \n"));
2760:   } else if (snes->lagjacobian == -1) {
2761:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is -1\n"));
2762:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2763:     if (flag) {
2764:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2765:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2766:     }
2767:     PetscFunctionReturn(PETSC_SUCCESS);
2768:   } else if (snes->lagjacobian > 1 && (snes->iter + snes->jac_iter) % snes->lagjacobian) {
2769:     PetscCall(PetscInfo(snes, "Reusing Jacobian/preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagjacobian, snes->iter));
2770:     PetscCall(PetscObjectTypeCompare((PetscObject)A, MATMFFD, &flag));
2771:     if (flag) {
2772:       PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2773:       PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2774:     }
2775:     PetscFunctionReturn(PETSC_SUCCESS);
2776:   }
2777:   if (snes->npc && snes->npcside == PC_LEFT) {
2778:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
2779:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
2780:     PetscFunctionReturn(PETSC_SUCCESS);
2781:   }

2783:   PetscCall(PetscLogEventBegin(SNES_JacobianEval, snes, X, A, B));
2784:   PetscCall(VecLockReadPush(X));
2785:   {
2786:     void *ctx;
2787:     PetscErrorCode (*J)(SNES, Vec, Mat, Mat, void *);
2788:     PetscCall(DMSNESGetJacobian(dm, &J, &ctx));
2789:     PetscCallBack("SNES callback Jacobian", (*J)(snes, X, A, B, ctx));
2790:   }
2791:   PetscCall(VecLockReadPop(X));
2792:   PetscCall(PetscLogEventEnd(SNES_JacobianEval, snes, X, A, B));

2794:   /* attach latest linearization point to the preconditioning matrix */
2795:   PetscCall(PetscObjectCompose((PetscObject)B, "__SNES_latest_X", (PetscObject)X));

2797:   /* the next line ensures that snes->ksp exists */
2798:   PetscCall(SNESGetKSP(snes, &ksp));
2799:   if (snes->lagpreconditioner == -2) {
2800:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner exactly once since lag is -2\n"));
2801:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2802:     snes->lagpreconditioner = -1;
2803:   } else if (snes->lagpreconditioner == -1) {
2804:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is -1\n"));
2805:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2806:   } else if (snes->lagpreconditioner > 1 && (snes->iter + snes->pre_iter) % snes->lagpreconditioner) {
2807:     PetscCall(PetscInfo(snes, "Reusing preconditioner because lag is %" PetscInt_FMT " and SNES iteration is %" PetscInt_FMT "\n", snes->lagpreconditioner, snes->iter));
2808:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_TRUE));
2809:   } else {
2810:     PetscCall(PetscInfo(snes, "Rebuilding preconditioner\n"));
2811:     PetscCall(KSPSetReusePreconditioner(snes->ksp, PETSC_FALSE));
2812:   }

2814:   PetscCall(SNESTestJacobian(snes));
2815:   /* make sure user returned a correct Jacobian and preconditioner */
2818:   {
2819:     PetscBool flag = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_operator = PETSC_FALSE;
2820:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit", NULL, NULL, &flag));
2821:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw", NULL, NULL, &flag_draw));
2822:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_explicit_draw_contour", NULL, NULL, &flag_contour));
2823:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_operator", NULL, NULL, &flag_operator));
2824:     if (flag || flag_draw || flag_contour) {
2825:       Mat         Bexp_mine = NULL, Bexp, FDexp;
2826:       PetscViewer vdraw, vstdout;
2827:       PetscBool   flg;
2828:       if (flag_operator) {
2829:         PetscCall(MatComputeOperator(A, MATAIJ, &Bexp_mine));
2830:         Bexp = Bexp_mine;
2831:       } else {
2832:         /* See if the preconditioning matrix can be viewed and added directly */
2833:         PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &flg, MATSEQAIJ, MATMPIAIJ, MATSEQDENSE, MATMPIDENSE, MATSEQBAIJ, MATMPIBAIJ, MATSEQSBAIJ, MATMPIBAIJ, ""));
2834:         if (flg) Bexp = B;
2835:         else {
2836:           /* If the "preconditioning" matrix is itself MATSHELL or some other type without direct support */
2837:           PetscCall(MatComputeOperator(B, MATAIJ, &Bexp_mine));
2838:           Bexp = Bexp_mine;
2839:         }
2840:       }
2841:       PetscCall(MatConvert(Bexp, MATSAME, MAT_INITIAL_MATRIX, &FDexp));
2842:       PetscCall(SNESComputeJacobianDefault(snes, X, FDexp, FDexp, NULL));
2843:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
2844:       if (flag_draw || flag_contour) {
2845:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Explicit Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
2846:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2847:       } else vdraw = NULL;
2848:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit %s\n", flag_operator ? "Jacobian" : "preconditioning Jacobian"));
2849:       if (flag) PetscCall(MatView(Bexp, vstdout));
2850:       if (vdraw) PetscCall(MatView(Bexp, vdraw));
2851:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Finite difference Jacobian\n"));
2852:       if (flag) PetscCall(MatView(FDexp, vstdout));
2853:       if (vdraw) PetscCall(MatView(FDexp, vdraw));
2854:       PetscCall(MatAYPX(FDexp, -1.0, Bexp, SAME_NONZERO_PATTERN));
2855:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian\n"));
2856:       if (flag) PetscCall(MatView(FDexp, vstdout));
2857:       if (vdraw) { /* Always use contour for the difference */
2858:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2859:         PetscCall(MatView(FDexp, vdraw));
2860:         PetscCall(PetscViewerPopFormat(vdraw));
2861:       }
2862:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));
2863:       PetscCall(PetscViewerDestroy(&vdraw));
2864:       PetscCall(MatDestroy(&Bexp_mine));
2865:       PetscCall(MatDestroy(&FDexp));
2866:     }
2867:   }
2868:   {
2869:     PetscBool flag = PETSC_FALSE, flag_display = PETSC_FALSE, flag_draw = PETSC_FALSE, flag_contour = PETSC_FALSE, flag_threshold = PETSC_FALSE;
2870:     PetscReal threshold_atol = PETSC_SQRT_MACHINE_EPSILON, threshold_rtol = 10 * PETSC_SQRT_MACHINE_EPSILON;
2871:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring", NULL, NULL, &flag));
2872:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_display", NULL, NULL, &flag_display));
2873:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw", NULL, NULL, &flag_draw));
2874:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_draw_contour", NULL, NULL, &flag_contour));
2875:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold", NULL, NULL, &flag_threshold));
2876:     if (flag_threshold) {
2877:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_rtol", &threshold_rtol, NULL));
2878:       PetscCall(PetscOptionsGetReal(((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_compare_coloring_threshold_atol", &threshold_atol, NULL));
2879:     }
2880:     if (flag || flag_display || flag_draw || flag_contour || flag_threshold) {
2881:       Mat           Bfd;
2882:       PetscViewer   vdraw, vstdout;
2883:       MatColoring   coloring;
2884:       ISColoring    iscoloring;
2885:       MatFDColoring matfdcoloring;
2886:       PetscErrorCode (*func)(SNES, Vec, Vec, void *);
2887:       void     *funcctx;
2888:       PetscReal norm1, norm2, normmax;

2890:       PetscCall(MatDuplicate(B, MAT_DO_NOT_COPY_VALUES, &Bfd));
2891:       PetscCall(MatColoringCreate(Bfd, &coloring));
2892:       PetscCall(MatColoringSetType(coloring, MATCOLORINGSL));
2893:       PetscCall(MatColoringSetFromOptions(coloring));
2894:       PetscCall(MatColoringApply(coloring, &iscoloring));
2895:       PetscCall(MatColoringDestroy(&coloring));
2896:       PetscCall(MatFDColoringCreate(Bfd, iscoloring, &matfdcoloring));
2897:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
2898:       PetscCall(MatFDColoringSetUp(Bfd, iscoloring, matfdcoloring));
2899:       PetscCall(ISColoringDestroy(&iscoloring));

2901:       /* This method of getting the function is currently unreliable since it doesn't work for DM local functions. */
2902:       PetscCall(SNESGetFunction(snes, NULL, &func, &funcctx));
2903:       PetscCall(MatFDColoringSetFunction(matfdcoloring, (PetscErrorCode(*)(void))func, funcctx));
2904:       PetscCall(PetscObjectSetOptionsPrefix((PetscObject)matfdcoloring, ((PetscObject)snes)->prefix));
2905:       PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)matfdcoloring, "coloring_"));
2906:       PetscCall(MatFDColoringSetFromOptions(matfdcoloring));
2907:       PetscCall(MatFDColoringApply(Bfd, matfdcoloring, X, snes));
2908:       PetscCall(MatFDColoringDestroy(&matfdcoloring));

2910:       PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)snes), &vstdout));
2911:       if (flag_draw || flag_contour) {
2912:         PetscCall(PetscViewerDrawOpen(PetscObjectComm((PetscObject)snes), NULL, "Colored Jacobians", PETSC_DECIDE, PETSC_DECIDE, 300, 300, &vdraw));
2913:         if (flag_contour) PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2914:       } else vdraw = NULL;
2915:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Explicit preconditioning Jacobian\n"));
2916:       if (flag_display) PetscCall(MatView(B, vstdout));
2917:       if (vdraw) PetscCall(MatView(B, vdraw));
2918:       PetscCall(PetscViewerASCIIPrintf(vstdout, "Colored Finite difference Jacobian\n"));
2919:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
2920:       if (vdraw) PetscCall(MatView(Bfd, vdraw));
2921:       PetscCall(MatAYPX(Bfd, -1.0, B, SAME_NONZERO_PATTERN));
2922:       PetscCall(MatNorm(Bfd, NORM_1, &norm1));
2923:       PetscCall(MatNorm(Bfd, NORM_FROBENIUS, &norm2));
2924:       PetscCall(MatNorm(Bfd, NORM_MAX, &normmax));
2925:       PetscCall(PetscViewerASCIIPrintf(vstdout, "User-provided matrix minus finite difference Jacobian, norm1=%g normFrob=%g normmax=%g\n", (double)norm1, (double)norm2, (double)normmax));
2926:       if (flag_display) PetscCall(MatView(Bfd, vstdout));
2927:       if (vdraw) { /* Always use contour for the difference */
2928:         PetscCall(PetscViewerPushFormat(vdraw, PETSC_VIEWER_DRAW_CONTOUR));
2929:         PetscCall(MatView(Bfd, vdraw));
2930:         PetscCall(PetscViewerPopFormat(vdraw));
2931:       }
2932:       if (flag_contour) PetscCall(PetscViewerPopFormat(vdraw));

2934:       if (flag_threshold) {
2935:         PetscInt bs, rstart, rend, i;
2936:         PetscCall(MatGetBlockSize(B, &bs));
2937:         PetscCall(MatGetOwnershipRange(B, &rstart, &rend));
2938:         for (i = rstart; i < rend; i++) {
2939:           const PetscScalar *ba, *ca;
2940:           const PetscInt    *bj, *cj;
2941:           PetscInt           bn, cn, j, maxentrycol = -1, maxdiffcol = -1, maxrdiffcol = -1;
2942:           PetscReal          maxentry = 0, maxdiff = 0, maxrdiff = 0;
2943:           PetscCall(MatGetRow(B, i, &bn, &bj, &ba));
2944:           PetscCall(MatGetRow(Bfd, i, &cn, &cj, &ca));
2945:           PetscCheck(bn == cn, ((PetscObject)A)->comm, PETSC_ERR_PLIB, "Unexpected different nonzero pattern in -snes_compare_coloring_threshold");
2946:           for (j = 0; j < bn; j++) {
2947:             PetscReal rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
2948:             if (PetscAbsScalar(ba[j]) > PetscAbs(maxentry)) {
2949:               maxentrycol = bj[j];
2950:               maxentry    = PetscRealPart(ba[j]);
2951:             }
2952:             if (PetscAbsScalar(ca[j]) > PetscAbs(maxdiff)) {
2953:               maxdiffcol = bj[j];
2954:               maxdiff    = PetscRealPart(ca[j]);
2955:             }
2956:             if (rdiff > maxrdiff) {
2957:               maxrdiffcol = bj[j];
2958:               maxrdiff    = rdiff;
2959:             }
2960:           }
2961:           if (maxrdiff > 1) {
2962:             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));
2963:             for (j = 0; j < bn; j++) {
2964:               PetscReal rdiff;
2965:               rdiff = PetscAbsScalar(ca[j]) / (threshold_atol + threshold_rtol * PetscAbsScalar(ba[j]));
2966:               if (rdiff > 1) PetscCall(PetscViewerASCIIPrintf(vstdout, " (%" PetscInt_FMT ",%g:%g)", bj[j], (double)PetscRealPart(ba[j]), (double)PetscRealPart(ca[j])));
2967:             }
2968:             PetscCall(PetscViewerASCIIPrintf(vstdout, "\n"));
2969:           }
2970:           PetscCall(MatRestoreRow(B, i, &bn, &bj, &ba));
2971:           PetscCall(MatRestoreRow(Bfd, i, &cn, &cj, &ca));
2972:         }
2973:       }
2974:       PetscCall(PetscViewerDestroy(&vdraw));
2975:       PetscCall(MatDestroy(&Bfd));
2976:     }
2977:   }
2978:   PetscFunctionReturn(PETSC_SUCCESS);
2979: }

2981: /*MC
2982:     SNESJacobianFunction - Functional form used by `SNES` to compute the nonlinear Jacobian of the function to be solved by `SNES`

2984:      Synopsis:
2985:      #include "petscsnes.h"
2986:      PetscErrorCode SNESJacobianFunction(SNES snes,Vec x,Mat Amat,Mat Pmat,void *ctx);

2988:      Collective

2990:     Input Parameters:
2991: +  x - input vector, the Jacobian is to be computed at this value
2992: -  ctx - [optional] user-defined Jacobian context

2994:     Output Parameters:
2995: +  Amat - the matrix that defines the (approximate) Jacobian
2996: -  Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.

2998:    Level: intermediate

3000: .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESSetJacobian()`, `SNESGetJacobian()`
3001: M*/

3003: /*@C
3004:   SNESSetJacobian - Sets the function to compute Jacobian as well as the
3005:   location to store the matrix.

3007:   Logically Collective

3009:   Input Parameters:
3010: + snes - the `SNES` context
3011: . Amat - the matrix that defines the (approximate) Jacobian
3012: . Pmat - the matrix to be used in constructing the preconditioner, usually the same as `Amat`.
3013: . J    - Jacobian evaluation routine (if `NULL` then `SNES` retains any previously set value), see `SNESJacobianFunction` for details
3014: - ctx  - [optional] user-defined context for private data for the
3015:          Jacobian evaluation routine (may be `NULL`) (if `NULL` then `SNES` retains any previously set value)

3017:   Level: beginner

3019:   Notes:
3020:   If the `Amat` matrix and `Pmat` matrix are different you must call `MatAssemblyBegin()`/`MatAssemblyEnd()` on
3021:   each matrix.

3023:   If you know the operator `Amat` has a null space you can use `MatSetNullSpace()` and `MatSetTransposeNullSpace()` to supply the null
3024:   space to `Amat` and the `KSP` solvers will automatically use that null space as needed during the solution process.

3026:   If using `SNESComputeJacobianDefaultColor()` to assemble a Jacobian, the `ctx` argument
3027:   must be a `MatFDColoring`.

3029:   Other defect-correction schemes can be used by computing a different matrix in place of the Jacobian.  One common
3030:   example is to use the "Picard linearization" which only differentiates through the highest order parts of each term using `SNESSetPicard()`

3032: .seealso: [](ch_snes), `SNES`, `KSPSetOperators()`, `SNESSetFunction()`, `MatMFFDComputeJacobian()`, `SNESComputeJacobianDefaultColor()`, `MatStructure`,
3033:           `SNESSetPicard()`, `SNESJacobianFunction`
3034: @*/
3035: PetscErrorCode SNESSetJacobian(SNES snes, Mat Amat, Mat Pmat, PetscErrorCode (*J)(SNES, Vec, Mat, Mat, void *), void *ctx)
3036: {
3037:   DM dm;

3039:   PetscFunctionBegin;
3043:   if (Amat) PetscCheckSameComm(snes, 1, Amat, 2);
3044:   if (Pmat) PetscCheckSameComm(snes, 1, Pmat, 3);
3045:   PetscCall(SNESGetDM(snes, &dm));
3046:   PetscCall(DMSNESSetJacobian(dm, J, ctx));
3047:   if (Amat) {
3048:     PetscCall(PetscObjectReference((PetscObject)Amat));
3049:     PetscCall(MatDestroy(&snes->jacobian));

3051:     snes->jacobian = Amat;
3052:   }
3053:   if (Pmat) {
3054:     PetscCall(PetscObjectReference((PetscObject)Pmat));
3055:     PetscCall(MatDestroy(&snes->jacobian_pre));

3057:     snes->jacobian_pre = Pmat;
3058:   }
3059:   PetscFunctionReturn(PETSC_SUCCESS);
3060: }

3062: /*@C
3063:   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
3064:   provided context for evaluating the Jacobian.

3066:   Not Collective, but `Mat` object will be parallel if `SNES` is

3068:   Input Parameter:
3069: . snes - the nonlinear solver context

3071:   Output Parameters:
3072: + Amat - location to stash (approximate) Jacobian matrix (or `NULL`)
3073: . Pmat - location to stash matrix used to compute the preconditioner (or `NULL`)
3074: . J    - location to put Jacobian function (or `NULL`), for calling sequence see `SNESJacobianFunction`
3075: - ctx  - location to stash Jacobian ctx (or `NULL`)

3077:   Level: advanced

3079: .seealso: [](ch_snes), `SNES`, `Mat`, `SNESSetJacobian()`, `SNESComputeJacobian()`, `SNESJacobianFunction`, `SNESGetFunction()`
3080: @*/
3081: PetscErrorCode SNESGetJacobian(SNES snes, Mat *Amat, Mat *Pmat, PetscErrorCode (**J)(SNES, Vec, Mat, Mat, void *), void **ctx)
3082: {
3083:   DM dm;

3085:   PetscFunctionBegin;
3087:   if (Amat) *Amat = snes->jacobian;
3088:   if (Pmat) *Pmat = snes->jacobian_pre;
3089:   PetscCall(SNESGetDM(snes, &dm));
3090:   PetscCall(DMSNESGetJacobian(dm, J, ctx));
3091:   PetscFunctionReturn(PETSC_SUCCESS);
3092: }

3094: static PetscErrorCode SNESSetDefaultComputeJacobian(SNES snes)
3095: {
3096:   DM     dm;
3097:   DMSNES sdm;

3099:   PetscFunctionBegin;
3100:   PetscCall(SNESGetDM(snes, &dm));
3101:   PetscCall(DMGetDMSNES(dm, &sdm));
3102:   if (!sdm->ops->computejacobian && snes->jacobian_pre) {
3103:     DM        dm;
3104:     PetscBool isdense, ismf;

3106:     PetscCall(SNESGetDM(snes, &dm));
3107:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &isdense, MATSEQDENSE, MATMPIDENSE, MATDENSE, NULL));
3108:     PetscCall(PetscObjectTypeCompareAny((PetscObject)snes->jacobian_pre, &ismf, MATMFFD, MATSHELL, NULL));
3109:     if (isdense) {
3110:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefault, NULL));
3111:     } else if (!ismf) {
3112:       PetscCall(DMSNESSetJacobian(dm, SNESComputeJacobianDefaultColor, NULL));
3113:     }
3114:   }
3115:   PetscFunctionReturn(PETSC_SUCCESS);
3116: }

3118: /*@
3119:   SNESSetUp - Sets up the internal data structures for the later use
3120:   of a nonlinear solver.

3122:   Collective

3124:   Input Parameter:
3125: . snes - the `SNES` context

3127:   Level: advanced

3129:   Note:
3130:   For basic use of the `SNES` solvers the user need not explicitly call
3131:   `SNESSetUp()`, since these actions will automatically occur during
3132:   the call to `SNESSolve()`.  However, if one wishes to control this
3133:   phase separately, `SNESSetUp()` should be called after `SNESCreate()`
3134:   and optional routines of the form SNESSetXXX(), but before `SNESSolve()`.

3136: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`, `SNESDestroy()`
3137: @*/
3138: PetscErrorCode SNESSetUp(SNES snes)
3139: {
3140:   DM             dm;
3141:   DMSNES         sdm;
3142:   SNESLineSearch linesearch, pclinesearch;
3143:   void          *lsprectx, *lspostctx;
3144:   PetscBool      mf_operator, mf;
3145:   Vec            f, fpc;
3146:   void          *funcctx;
3147:   void          *jacctx, *appctx;
3148:   Mat            j, jpre;
3149:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
3150:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);
3151:   PetscErrorCode (*func)(SNES, Vec, Vec, void *);
3152:   PetscErrorCode (*jac)(SNES, Vec, Mat, Mat, void *);

3154:   PetscFunctionBegin;
3156:   if (snes->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
3157:   PetscCall(PetscLogEventBegin(SNES_SetUp, snes, 0, 0, 0));

3159:   if (!((PetscObject)snes)->type_name) PetscCall(SNESSetType(snes, SNESNEWTONLS));

3161:   PetscCall(SNESGetFunction(snes, &snes->vec_func, NULL, NULL));

3163:   PetscCall(SNESGetDM(snes, &dm));
3164:   PetscCall(DMGetDMSNES(dm, &sdm));
3165:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3167:   if (!snes->vec_func) PetscCall(DMCreateGlobalVector(dm, &snes->vec_func));

3169:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));

3171:   if (snes->linesearch) {
3172:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
3173:     PetscCall(SNESLineSearchSetFunction(snes->linesearch, SNESComputeFunction));
3174:   }

3176:   PetscCall(SNESGetUseMatrixFree(snes, &mf_operator, &mf));
3177:   if (snes->npc && snes->npcside == PC_LEFT) {
3178:     snes->mf          = PETSC_TRUE;
3179:     snes->mf_operator = PETSC_FALSE;
3180:   }

3182:   if (snes->npc) {
3183:     /* copy the DM over */
3184:     PetscCall(SNESGetDM(snes, &dm));
3185:     PetscCall(SNESSetDM(snes->npc, dm));

3187:     PetscCall(SNESGetFunction(snes, &f, &func, &funcctx));
3188:     PetscCall(VecDuplicate(f, &fpc));
3189:     PetscCall(SNESSetFunction(snes->npc, fpc, func, funcctx));
3190:     PetscCall(SNESGetJacobian(snes, &j, &jpre, &jac, &jacctx));
3191:     PetscCall(SNESSetJacobian(snes->npc, j, jpre, jac, jacctx));
3192:     PetscCall(SNESGetApplicationContext(snes, &appctx));
3193:     PetscCall(SNESSetApplicationContext(snes->npc, appctx));
3194:     PetscCall(SNESSetUseMatrixFree(snes->npc, mf_operator, mf));
3195:     PetscCall(VecDestroy(&fpc));

3197:     /* copy the function pointers over */
3198:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)snes->npc));

3200:     /* default to 1 iteration */
3201:     PetscCall(SNESSetTolerances(snes->npc, 0.0, 0.0, 0.0, 1, snes->npc->max_funcs));
3202:     if (snes->npcside == PC_RIGHT) {
3203:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_FINAL_ONLY));
3204:     } else {
3205:       PetscCall(SNESSetNormSchedule(snes->npc, SNES_NORM_NONE));
3206:     }
3207:     PetscCall(SNESSetFromOptions(snes->npc));

3209:     /* copy the line search context over */
3210:     if (snes->linesearch && snes->npc->linesearch) {
3211:       PetscCall(SNESGetLineSearch(snes, &linesearch));
3212:       PetscCall(SNESGetLineSearch(snes->npc, &pclinesearch));
3213:       PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
3214:       PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
3215:       PetscCall(SNESLineSearchSetPreCheck(pclinesearch, precheck, lsprectx));
3216:       PetscCall(SNESLineSearchSetPostCheck(pclinesearch, postcheck, lspostctx));
3217:       PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)pclinesearch));
3218:     }
3219:   }
3220:   if (snes->mf) PetscCall(SNESSetUpMatrixFree_Private(snes, snes->mf_operator, snes->mf_version));
3221:   if (snes->ops->usercompute && !snes->user) PetscCall((*snes->ops->usercompute)(snes, (void **)&snes->user));

3223:   snes->jac_iter = 0;
3224:   snes->pre_iter = 0;

3226:   PetscTryTypeMethod(snes, setup);

3228:   PetscCall(SNESSetDefaultComputeJacobian(snes));

3230:   if (snes->npc && snes->npcside == PC_LEFT) {
3231:     if (snes->functype == SNES_FUNCTION_PRECONDITIONED) {
3232:       if (snes->linesearch) {
3233:         PetscCall(SNESGetLineSearch(snes, &linesearch));
3234:         PetscCall(SNESLineSearchSetFunction(linesearch, SNESComputeFunctionDefaultNPC));
3235:       }
3236:     }
3237:   }
3238:   PetscCall(PetscLogEventEnd(SNES_SetUp, snes, 0, 0, 0));
3239:   snes->setupcalled = PETSC_TRUE;
3240:   PetscFunctionReturn(PETSC_SUCCESS);
3241: }

3243: /*@
3244:   SNESReset - Resets a `SNES` context to the snessetupcalled = 0 state and removes any allocated `Vec`s and `Mat`s

3246:   Collective

3248:   Input Parameter:
3249: . snes - iterative context obtained from `SNESCreate()`

3251:   Level: intermediate

3253:   Notes:
3254:   Call this if you wish to reuse a `SNES` but with different size vectors

3256:   Also calls the application context destroy routine set with `SNESSetComputeApplicationContext()`

3258: .seealso: [](ch_snes), `SNES`, `SNESDestroy()`, `SNESCreate()`, `SNESSetUp()`, `SNESSolve()`
3259: @*/
3260: PetscErrorCode SNESReset(SNES snes)
3261: {
3262:   PetscFunctionBegin;
3264:   if (snes->ops->userdestroy && snes->user) {
3265:     PetscCall((*snes->ops->userdestroy)((void **)&snes->user));
3266:     snes->user = NULL;
3267:   }
3268:   if (snes->npc) PetscCall(SNESReset(snes->npc));

3270:   PetscTryTypeMethod(snes, reset);
3271:   if (snes->ksp) PetscCall(KSPReset(snes->ksp));

3273:   if (snes->linesearch) PetscCall(SNESLineSearchReset(snes->linesearch));

3275:   PetscCall(VecDestroy(&snes->vec_rhs));
3276:   PetscCall(VecDestroy(&snes->vec_sol));
3277:   PetscCall(VecDestroy(&snes->vec_sol_update));
3278:   PetscCall(VecDestroy(&snes->vec_func));
3279:   PetscCall(MatDestroy(&snes->jacobian));
3280:   PetscCall(MatDestroy(&snes->jacobian_pre));
3281:   PetscCall(MatDestroy(&snes->picard));
3282:   PetscCall(VecDestroyVecs(snes->nwork, &snes->work));
3283:   PetscCall(VecDestroyVecs(snes->nvwork, &snes->vwork));

3285:   snes->alwayscomputesfinalresidual = PETSC_FALSE;

3287:   snes->nwork = snes->nvwork = 0;
3288:   snes->setupcalled          = PETSC_FALSE;
3289:   PetscFunctionReturn(PETSC_SUCCESS);
3290: }

3292: /*@
3293:   SNESConvergedReasonViewCancel - Clears all the reason view functions for a `SNES` object provided with `SNESConvergedReasonViewSet()`

3295:   Collective

3297:   Input Parameter:
3298: . snes - iterative context obtained from `SNESCreate()`

3300:   Level: intermediate

3302: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESReset()`, `SNESConvergedReasonViewSet()`
3303: @*/
3304: PetscErrorCode SNESConvergedReasonViewCancel(SNES snes)
3305: {
3306:   PetscInt i;

3308:   PetscFunctionBegin;
3310:   for (i = 0; i < snes->numberreasonviews; i++) {
3311:     if (snes->reasonviewdestroy[i]) PetscCall((*snes->reasonviewdestroy[i])(&snes->reasonviewcontext[i]));
3312:   }
3313:   snes->numberreasonviews = 0;
3314:   PetscFunctionReturn(PETSC_SUCCESS);
3315: }

3317: /*@C
3318:   SNESDestroy - Destroys the nonlinear solver context that was created
3319:   with `SNESCreate()`.

3321:   Collective

3323:   Input Parameter:
3324: . snes - the `SNES` context

3326:   Level: beginner

3328: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESSolve()`
3329: @*/
3330: PetscErrorCode SNESDestroy(SNES *snes)
3331: {
3332:   PetscFunctionBegin;
3333:   if (!*snes) PetscFunctionReturn(PETSC_SUCCESS);
3335:   if (--((PetscObject)(*snes))->refct > 0) {
3336:     *snes = NULL;
3337:     PetscFunctionReturn(PETSC_SUCCESS);
3338:   }

3340:   PetscCall(SNESReset((*snes)));
3341:   PetscCall(SNESDestroy(&(*snes)->npc));

3343:   /* if memory was published with SAWs then destroy it */
3344:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*snes));
3345:   PetscTryTypeMethod((*snes), destroy);

3347:   if ((*snes)->dm) PetscCall(DMCoarsenHookRemove((*snes)->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, *snes));
3348:   PetscCall(DMDestroy(&(*snes)->dm));
3349:   PetscCall(KSPDestroy(&(*snes)->ksp));
3350:   PetscCall(SNESLineSearchDestroy(&(*snes)->linesearch));

3352:   PetscCall(PetscFree((*snes)->kspconvctx));
3353:   if ((*snes)->ops->convergeddestroy) PetscCall((*(*snes)->ops->convergeddestroy)((*snes)->cnvP));
3354:   if ((*snes)->conv_hist_alloc) PetscCall(PetscFree2((*snes)->conv_hist, (*snes)->conv_hist_its));
3355:   PetscCall(SNESMonitorCancel((*snes)));
3356:   PetscCall(SNESConvergedReasonViewCancel((*snes)));
3357:   PetscCall(PetscHeaderDestroy(snes));
3358:   PetscFunctionReturn(PETSC_SUCCESS);
3359: }

3361: /* ----------- Routines to set solver parameters ---------- */

3363: /*@
3364:   SNESSetLagPreconditioner - Determines when the preconditioner is rebuilt in the nonlinear solve.

3366:   Logically Collective

3368:   Input Parameters:
3369: + snes - the `SNES` context
3370: - lag  - 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3371:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3373:   Options Database Keys:
3374: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple `SNESSolve()`
3375: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3376: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple `SNESSolve()`
3377: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3379:   Level: intermediate

3381:   Notes:
3382:   The default is 1

3384:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagPreconditionerPersists()` was called

3386:   `SNESSetLagPreconditionerPersists()` allows using the same uniform lagging (for example every second linear solve) across multiple nonlinear solves.

3388: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetLagPreconditionerPersists()`,
3389:           `SNESSetLagJacobianPersists()`, `SNES`, `SNESSolve()`
3390: @*/
3391: PetscErrorCode SNESSetLagPreconditioner(SNES snes, PetscInt lag)
3392: {
3393:   PetscFunctionBegin;
3395:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3396:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3398:   snes->lagpreconditioner = lag;
3399:   PetscFunctionReturn(PETSC_SUCCESS);
3400: }

3402: /*@
3403:   SNESSetGridSequence - sets the number of steps of grid sequencing that `SNES` will do

3405:   Logically Collective

3407:   Input Parameters:
3408: + snes  - the `SNES` context
3409: - steps - the number of refinements to do, defaults to 0

3411:   Options Database Key:
3412: . -snes_grid_sequence <steps> - Use grid sequencing to generate initial guess

3414:   Level: intermediate

3416:   Note:
3417:   Use `SNESGetSolution()` to extract the fine grid solution after grid sequencing.

3419: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetGridSequence()`,
3420:           `SNESetDM()`
3421: @*/
3422: PetscErrorCode SNESSetGridSequence(SNES snes, PetscInt steps)
3423: {
3424:   PetscFunctionBegin;
3427:   snes->gridsequence = steps;
3428:   PetscFunctionReturn(PETSC_SUCCESS);
3429: }

3431: /*@
3432:   SNESGetGridSequence - gets the number of steps of grid sequencing that `SNES` will do

3434:   Logically Collective

3436:   Input Parameter:
3437: . snes - the `SNES` context

3439:   Output Parameter:
3440: . steps - the number of refinements to do, defaults to 0

3442:   Level: intermediate

3444: .seealso: [](ch_snes), `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESSetGridSequence()`
3445: @*/
3446: PetscErrorCode SNESGetGridSequence(SNES snes, PetscInt *steps)
3447: {
3448:   PetscFunctionBegin;
3450:   *steps = snes->gridsequence;
3451:   PetscFunctionReturn(PETSC_SUCCESS);
3452: }

3454: /*@
3455:   SNESGetLagPreconditioner - Return how often the preconditioner is rebuilt

3457:   Not Collective

3459:   Input Parameter:
3460: . snes - the `SNES` context

3462:   Output Parameter:
3463: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3464:          the Jacobian is built etc. -2 indicates rebuild preconditioner at next chance but then never rebuild after that

3466:   Level: intermediate

3468:   Notes:
3469:   The default is 1

3471:   The preconditioner is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3473: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3474: @*/
3475: PetscErrorCode SNESGetLagPreconditioner(SNES snes, PetscInt *lag)
3476: {
3477:   PetscFunctionBegin;
3479:   *lag = snes->lagpreconditioner;
3480:   PetscFunctionReturn(PETSC_SUCCESS);
3481: }

3483: /*@
3484:   SNESSetLagJacobian - Set when the Jacobian is rebuilt in the nonlinear solve. See `SNESSetLagPreconditioner()` for determining how
3485:   often the preconditioner is rebuilt.

3487:   Logically Collective

3489:   Input Parameters:
3490: + snes - the `SNES` context
3491: - lag  - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3492:          the Jacobian is built etc. -2 means rebuild at next chance but then never again

3494:   Options Database Keys:
3495: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3496: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3497: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3498: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag.

3500:   Level: intermediate

3502:   Notes:
3503:   The default is 1

3505:   The Jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1

3507:   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
3508:   at the next Newton step but never again (unless it is reset to another value)

3510: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESGetLagPreconditioner()`, `SNESSetLagPreconditioner()`, `SNESGetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`
3511: @*/
3512: PetscErrorCode SNESSetLagJacobian(SNES snes, PetscInt lag)
3513: {
3514:   PetscFunctionBegin;
3516:   PetscCheck(lag >= -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag must be -2, -1, 1 or greater");
3517:   PetscCheck(lag, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Lag cannot be 0");
3519:   snes->lagjacobian = lag;
3520:   PetscFunctionReturn(PETSC_SUCCESS);
3521: }

3523: /*@
3524:   SNESGetLagJacobian - Get how often the Jacobian is rebuilt. See `SNESGetLagPreconditioner()` to determine when the preconditioner is rebuilt

3526:   Not Collective

3528:   Input Parameter:
3529: . snes - the `SNES` context

3531:   Output Parameter:
3532: . lag - -1 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is computed within a single nonlinear solve, 2 means every second time
3533:          the Jacobian is built etc.

3535:   Level: intermediate

3537:   Notes:
3538:   The default is 1

3540:   The jacobian is ALWAYS built in the first iteration of a nonlinear solve unless lag is -1 or `SNESSetLagJacobianPersists()` was called.

3542: .seealso: [](ch_snes), `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetLagJacobian()`, `SNESSetLagPreconditioner()`, `SNESGetLagPreconditioner()`, `SNESSetLagJacobianPersists()`, `SNESSetLagPreconditionerPersists()`

3544: @*/
3545: PetscErrorCode SNESGetLagJacobian(SNES snes, PetscInt *lag)
3546: {
3547:   PetscFunctionBegin;
3549:   *lag = snes->lagjacobian;
3550:   PetscFunctionReturn(PETSC_SUCCESS);
3551: }

3553: /*@
3554:   SNESSetLagJacobianPersists - Set whether or not the Jacobian lagging persists through multiple nonlinear solves

3556:   Logically collective

3558:   Input Parameters:
3559: + snes - the `SNES` context
3560: - flg  - jacobian lagging persists if true

3562:   Options Database Keys:
3563: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3564: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3565: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3566: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3568:   Level: advanced

3570:   Notes:
3571:   Normally when `SNESSetLagJacobian()` is used, the Jacobian is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3573:   This is useful both for nonlinear preconditioning, where it's appropriate to have the Jacobian be stale by
3574:   several solves, and for implicit time-stepping, where Jacobian lagging in the inner nonlinear solve over several
3575:   timesteps may present huge efficiency gains.

3577: .seealso: [](ch_snes), `SNES`, `SNESSetLagPreconditionerPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`
3578: @*/
3579: PetscErrorCode SNESSetLagJacobianPersists(SNES snes, PetscBool flg)
3580: {
3581:   PetscFunctionBegin;
3584:   snes->lagjac_persist = flg;
3585:   PetscFunctionReturn(PETSC_SUCCESS);
3586: }

3588: /*@
3589:   SNESSetLagPreconditionerPersists - Set whether or not the preconditioner lagging persists through multiple nonlinear solves

3591:   Logically Collective

3593:   Input Parameters:
3594: + snes - the `SNES` context
3595: - flg  - preconditioner lagging persists if true

3597:   Options Database Keys:
3598: + -snes_lag_jacobian_persists <true,false>       - sets the persistence through multiple SNES solves
3599: . -snes_lag_jacobian <-2,1,2,...>                - sets the lag
3600: . -snes_lag_preconditioner_persists <true,false> - sets the persistence through multiple SNES solves
3601: - -snes_lag_preconditioner <-2,1,2,...>          - sets the lag

3603:   Level: developer

3605:   Notes:
3606:   Normally when `SNESSetLagPreconditioner()` is used, the preconditioner is always rebuilt at the beginning of each new nonlinear solve, this removes that behavior

3608:   This is useful both for nonlinear preconditioning, where it's appropriate to have the preconditioner be stale
3609:   by several solves, and for implicit time-stepping, where preconditioner lagging in the inner nonlinear solve over
3610:   several timesteps may present huge efficiency gains.

3612: .seealso: [](ch_snes), `SNES`, `SNESSetLagJacobianPersists()`, `SNESSetLagJacobian()`, `SNESGetLagJacobian()`, `SNESGetNPC()`, `SNESSetLagPreconditioner()`
3613: @*/
3614: PetscErrorCode SNESSetLagPreconditionerPersists(SNES snes, PetscBool flg)
3615: {
3616:   PetscFunctionBegin;
3619:   snes->lagpre_persist = flg;
3620:   PetscFunctionReturn(PETSC_SUCCESS);
3621: }

3623: /*@
3624:   SNESSetForceIteration - force `SNESSolve()` to take at least one iteration regardless of the initial residual norm

3626:   Logically Collective

3628:   Input Parameters:
3629: + snes  - the `SNES` context
3630: - force - `PETSC_TRUE` require at least one iteration

3632:   Options Database Key:
3633: . -snes_force_iteration <force> - Sets forcing an iteration

3635:   Level: intermediate

3637:   Note:
3638:   This is used sometimes with `TS` to prevent `TS` from detecting a false steady state solution

3640: .seealso: [](ch_snes), `SNES`, `TS`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3641: @*/
3642: PetscErrorCode SNESSetForceIteration(SNES snes, PetscBool force)
3643: {
3644:   PetscFunctionBegin;
3646:   snes->forceiteration = force;
3647:   PetscFunctionReturn(PETSC_SUCCESS);
3648: }

3650: /*@
3651:   SNESGetForceIteration - Check whether or not `SNESSolve()` take at least one iteration regardless of the initial residual norm

3653:   Logically Collective

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

3658:   Output Parameter:
3659: . force - `PETSC_TRUE` requires at least one iteration.

3661:   Level: intermediate

3663: .seealso: [](ch_snes), `SNES`, `SNESSetForceIteration()`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`
3664: @*/
3665: PetscErrorCode SNESGetForceIteration(SNES snes, PetscBool *force)
3666: {
3667:   PetscFunctionBegin;
3669:   *force = snes->forceiteration;
3670:   PetscFunctionReturn(PETSC_SUCCESS);
3671: }

3673: /*@
3674:   SNESSetTolerances - Sets `SNES` various parameters used in convergence tests.

3676:   Logically Collective

3678:   Input Parameters:
3679: + snes   - the `SNES` context
3680: . abstol - absolute convergence tolerance
3681: . rtol   - relative convergence tolerance
3682: . stol   - convergence tolerance in terms of the norm of the change in the solution between steps,  || delta x || < stol*|| x ||
3683: . maxit  - maximum number of iterations, default 50.
3684: - maxf   - maximum number of function evaluations (-1 indicates no limit), default 1000

3686:   Options Database Keys:
3687: + -snes_atol <abstol>    - Sets abstol
3688: . -snes_rtol <rtol>      - Sets rtol
3689: . -snes_stol <stol>      - Sets stol
3690: . -snes_max_it <maxit>   - Sets maxit
3691: - -snes_max_funcs <maxf> - Sets maxf

3693:   Level: intermediate

3695: .seealso: [](ch_snes), `SNESSolve()`, `SNES`, `SNESSetTrustRegionTolerance()`, `SNESSetDivergenceTolerance()`, `SNESSetForceIteration()`
3696: @*/
3697: PetscErrorCode SNESSetTolerances(SNES snes, PetscReal abstol, PetscReal rtol, PetscReal stol, PetscInt maxit, PetscInt maxf)
3698: {
3699:   PetscFunctionBegin;

3707:   if (abstol != (PetscReal)PETSC_DEFAULT) {
3708:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
3709:     snes->abstol = abstol;
3710:   }
3711:   if (rtol != (PetscReal)PETSC_DEFAULT) {
3712:     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);
3713:     snes->rtol = rtol;
3714:   }
3715:   if (stol != (PetscReal)PETSC_DEFAULT) {
3716:     PetscCheck(stol >= 0.0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Step tolerance %g must be non-negative", (double)stol);
3717:     snes->stol = stol;
3718:   }
3719:   if (maxit != PETSC_DEFAULT) {
3720:     PetscCheck(maxit >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxit);
3721:     snes->max_its = maxit;
3722:   }
3723:   if (maxf != PETSC_DEFAULT) {
3724:     PetscCheck(maxf >= -1, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of function evaluations %" PetscInt_FMT " must be -1 or nonnegative", maxf);
3725:     snes->max_funcs = maxf;
3726:   }
3727:   snes->tolerancesset = PETSC_TRUE;
3728:   PetscFunctionReturn(PETSC_SUCCESS);
3729: }

3731: /*@
3732:   SNESSetDivergenceTolerance - Sets the divergence tolerance used for the `SNES` divergence test.

3734:   Logically Collective

3736:   Input Parameters:
3737: + snes   - the `SNES` context
3738: - divtol - the divergence tolerance. Use -1 to deactivate the test, default is 1e4

3740:   Options Database Key:
3741: . -snes_divergence_tolerance <divtol> - Sets `divtol`

3743:   Level: intermediate

3745: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetTolerances()`, `SNESGetDivergenceTolerance`
3746: @*/
3747: PetscErrorCode SNESSetDivergenceTolerance(SNES snes, PetscReal divtol)
3748: {
3749:   PetscFunctionBegin;

3753:   if (divtol != (PetscReal)PETSC_DEFAULT) {
3754:     snes->divtol = divtol;
3755:   } else {
3756:     snes->divtol = 1.0e4;
3757:   }
3758:   PetscFunctionReturn(PETSC_SUCCESS);
3759: }

3761: /*@
3762:   SNESGetTolerances - Gets various parameters used in convergence tests.

3764:   Not Collective

3766:   Input Parameters:
3767: + snes  - the `SNES` context
3768: . atol  - absolute convergence tolerance
3769: . rtol  - relative convergence tolerance
3770: . stol  - convergence tolerance in terms of the norm
3771:            of the change in the solution between steps
3772: . maxit - maximum number of iterations
3773: - maxf  - maximum number of function evaluations

3775:   Level: intermediate

3777:   Note:
3778:   The user can specify `NULL` for any parameter that is not needed.

3780: .seealso: [](ch_snes), `SNES`, `SNESSetTolerances()`
3781: @*/
3782: PetscErrorCode SNESGetTolerances(SNES snes, PetscReal *atol, PetscReal *rtol, PetscReal *stol, PetscInt *maxit, PetscInt *maxf)
3783: {
3784:   PetscFunctionBegin;
3786:   if (atol) *atol = snes->abstol;
3787:   if (rtol) *rtol = snes->rtol;
3788:   if (stol) *stol = snes->stol;
3789:   if (maxit) *maxit = snes->max_its;
3790:   if (maxf) *maxf = snes->max_funcs;
3791:   PetscFunctionReturn(PETSC_SUCCESS);
3792: }

3794: /*@
3795:   SNESGetDivergenceTolerance - Gets divergence tolerance used in divergence test.

3797:   Not Collective

3799:   Input Parameters:
3800: + snes   - the `SNES` context
3801: - divtol - divergence tolerance

3803:   Level: intermediate

3805: .seealso: [](ch_snes), `SNES`, `SNESSetDivergenceTolerance()`
3806: @*/
3807: PetscErrorCode SNESGetDivergenceTolerance(SNES snes, PetscReal *divtol)
3808: {
3809:   PetscFunctionBegin;
3811:   if (divtol) *divtol = snes->divtol;
3812:   PetscFunctionReturn(PETSC_SUCCESS);
3813: }

3815: /*@
3816:   SNESSetTrustRegionTolerance - Sets the trust region parameter tolerance.

3818:   Logically Collective

3820:   Input Parameters:
3821: + snes - the `SNES` context
3822: - tol  - tolerance

3824:   Options Database Key:
3825: . -snes_tr_tol <tol> - Sets tol

3827:   Level: intermediate

3829: .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESSetTolerances()`
3830: @*/
3831: PetscErrorCode SNESSetTrustRegionTolerance(SNES snes, PetscReal tol)
3832: {
3833:   PetscFunctionBegin;
3836:   snes->deltatol = tol;
3837:   PetscFunctionReturn(PETSC_SUCCESS);
3838: }

3840: PETSC_INTERN PetscErrorCode SNESMonitorRange_Private(SNES, PetscInt, PetscReal *);

3842: PetscErrorCode SNESMonitorLGRange(SNES snes, PetscInt n, PetscReal rnorm, void *monctx)
3843: {
3844:   PetscDrawLG      lg;
3845:   PetscReal        x, y, per;
3846:   PetscViewer      v = (PetscViewer)monctx;
3847:   static PetscReal prev; /* should be in the context */
3848:   PetscDraw        draw;

3850:   PetscFunctionBegin;
3852:   PetscCall(PetscViewerDrawGetDrawLG(v, 0, &lg));
3853:   if (!n) PetscCall(PetscDrawLGReset(lg));
3854:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3855:   PetscCall(PetscDrawSetTitle(draw, "Residual norm"));
3856:   x = (PetscReal)n;
3857:   if (rnorm > 0.0) y = PetscLog10Real(rnorm);
3858:   else y = -15.0;
3859:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3860:   if (n < 20 || !(n % 5) || snes->reason) {
3861:     PetscCall(PetscDrawLGDraw(lg));
3862:     PetscCall(PetscDrawLGSave(lg));
3863:   }

3865:   PetscCall(PetscViewerDrawGetDrawLG(v, 1, &lg));
3866:   if (!n) PetscCall(PetscDrawLGReset(lg));
3867:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3868:   PetscCall(PetscDrawSetTitle(draw, "% elements > .2*max element"));
3869:   PetscCall(SNESMonitorRange_Private(snes, n, &per));
3870:   x = (PetscReal)n;
3871:   y = 100.0 * per;
3872:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3873:   if (n < 20 || !(n % 5) || snes->reason) {
3874:     PetscCall(PetscDrawLGDraw(lg));
3875:     PetscCall(PetscDrawLGSave(lg));
3876:   }

3878:   PetscCall(PetscViewerDrawGetDrawLG(v, 2, &lg));
3879:   if (!n) {
3880:     prev = rnorm;
3881:     PetscCall(PetscDrawLGReset(lg));
3882:   }
3883:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3884:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm"));
3885:   x = (PetscReal)n;
3886:   y = (prev - rnorm) / prev;
3887:   PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3888:   if (n < 20 || !(n % 5) || snes->reason) {
3889:     PetscCall(PetscDrawLGDraw(lg));
3890:     PetscCall(PetscDrawLGSave(lg));
3891:   }

3893:   PetscCall(PetscViewerDrawGetDrawLG(v, 3, &lg));
3894:   if (!n) PetscCall(PetscDrawLGReset(lg));
3895:   PetscCall(PetscDrawLGGetDraw(lg, &draw));
3896:   PetscCall(PetscDrawSetTitle(draw, "(norm -oldnorm)/oldnorm*(% > .2 max)"));
3897:   x = (PetscReal)n;
3898:   y = (prev - rnorm) / (prev * per);
3899:   if (n > 2) { /*skip initial crazy value */
3900:     PetscCall(PetscDrawLGAddPoint(lg, &x, &y));
3901:   }
3902:   if (n < 20 || !(n % 5) || snes->reason) {
3903:     PetscCall(PetscDrawLGDraw(lg));
3904:     PetscCall(PetscDrawLGSave(lg));
3905:   }
3906:   prev = rnorm;
3907:   PetscFunctionReturn(PETSC_SUCCESS);
3908: }

3910: /*@
3911:   SNESConverged - Run the convergence test and update the `SNESConvergedReason`.

3913:   Collective

3915:   Input Parameters:
3916: + snes  - the `SNES` context
3917: . it    - current iteration
3918: . xnorm - 2-norm of current iterate
3919: . snorm - 2-norm of current step
3920: - fnorm - 2-norm of function

3922:   Level: developer

3924:   Note:
3925:   This routine is called by the `SNESSolve()` implementations.
3926:   It does not typically need to be called by the user.

3928: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
3929: @*/
3930: PetscErrorCode SNESConverged(SNES snes, PetscInt it, PetscReal xnorm, PetscReal snorm, PetscReal fnorm)
3931: {
3932:   PetscFunctionBegin;
3933:   if (!snes->reason) {
3934:     if (snes->normschedule == SNES_NORM_ALWAYS) PetscUseTypeMethod(snes, converged, it, xnorm, snorm, fnorm, &snes->reason, snes->cnvP);
3935:     if (it == snes->max_its && !snes->reason) {
3936:       if (snes->normschedule == SNES_NORM_ALWAYS) {
3937:         PetscCall(PetscInfo(snes, "Maximum number of iterations has been reached: %" PetscInt_FMT "\n", snes->max_its));
3938:         snes->reason = SNES_DIVERGED_MAX_IT;
3939:       } else snes->reason = SNES_CONVERGED_ITS;
3940:     }
3941:   }
3942:   PetscFunctionReturn(PETSC_SUCCESS);
3943: }

3945: /*@
3946:   SNESMonitor - runs the user provided monitor routines, if they exist

3948:   Collective

3950:   Input Parameters:
3951: + snes  - nonlinear solver context obtained from `SNESCreate()`
3952: . iter  - iteration number
3953: - rnorm - relative norm of the residual

3955:   Level: developer

3957:   Note:
3958:   This routine is called by the `SNESSolve()` implementations.
3959:   It does not typically need to be called by the user.

3961: .seealso: [](ch_snes), `SNES`, `SNESMonitorSet()`
3962: @*/
3963: PetscErrorCode SNESMonitor(SNES snes, PetscInt iter, PetscReal rnorm)
3964: {
3965:   PetscInt i, n = snes->numbermonitors;

3967:   PetscFunctionBegin;
3968:   if (n > 0) SNESCheckFunctionNorm(snes, rnorm);
3969:   PetscCall(VecLockReadPush(snes->vec_sol));
3970:   for (i = 0; i < n; i++) PetscCall((*snes->monitor[i])(snes, iter, rnorm, snes->monitorcontext[i]));
3971:   PetscCall(VecLockReadPop(snes->vec_sol));
3972:   PetscFunctionReturn(PETSC_SUCCESS);
3973: }

3975: /* ------------ Routines to set performance monitoring options ----------- */

3977: /*MC
3978:     SNESMonitorFunction - functional form passed to `SNESMonitorSet()` to monitor convergence of nonlinear solver

3980:      Synopsis:
3981: #include <petscsnes.h>
3982:     PetscErrorCode SNESMonitorFunction(SNES snes, PetscInt its, PetscReal norm, void *mctx)

3984:      Collective

3986:     Input Parameters:
3987: +    snes - the `SNES` context
3988: .    its - iteration number
3989: .    norm - 2-norm function value (may be estimated)
3990: -    mctx - [optional] monitoring context

3992:    Level: advanced

3994: .seealso: [](ch_snes), `SNESMonitorSet()`, `SNESMonitorSet()`, `SNESMonitorGet()`
3995: M*/

3997: /*@C
3998:   SNESMonitorSet - Sets an ADDITIONAL function that is to be used at every
3999:   iteration of the nonlinear solver to display the iteration's
4000:   progress.

4002:   Logically Collective

4004:   Input Parameters:
4005: + snes           - the `SNES` context
4006: . f              - the monitor function,  for the calling sequence see `SNESMonitorFunction`
4007: . mctx           - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
4008: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`)

4010:   Options Database Keys:
4011: + -snes_monitor               - sets `SNESMonitorDefault()`
4012: . -snes_monitor draw::draw_lg - sets line graph monitor,
4013: - -snes_monitor_cancel        - cancels all monitors that have been hardwired into a code by calls to `SNESMonitorSet()`, but does not cancel those set via
4014:                             the options database.

4016:   Level: intermediate

4018:   Note:
4019:   Several different monitoring routines may be set by calling
4020:   `SNESMonitorSet()` multiple times; all will be called in the
4021:   order in which they were set.

4023:   Fortran Note:
4024:   Only a single monitor function can be set for each `SNES` object

4026: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESMonitorDefault()`, `SNESMonitorCancel()`, `SNESMonitorFunction`
4027: @*/
4028: PetscErrorCode SNESMonitorSet(SNES snes, PetscErrorCode (*f)(SNES, PetscInt, PetscReal, void *), void *mctx, PetscErrorCode (*monitordestroy)(void **))
4029: {
4030:   PetscInt  i;
4031:   PetscBool identical;

4033:   PetscFunctionBegin;
4035:   for (i = 0; i < snes->numbermonitors; i++) {
4036:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, mctx, monitordestroy, (PetscErrorCode(*)(void))snes->monitor[i], snes->monitorcontext[i], snes->monitordestroy[i], &identical));
4037:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4038:   }
4039:   PetscCheck(snes->numbermonitors < MAXSNESMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
4040:   snes->monitor[snes->numbermonitors]          = f;
4041:   snes->monitordestroy[snes->numbermonitors]   = monitordestroy;
4042:   snes->monitorcontext[snes->numbermonitors++] = (void *)mctx;
4043:   PetscFunctionReturn(PETSC_SUCCESS);
4044: }

4046: /*@
4047:   SNESMonitorCancel - Clears all the monitor functions for a `SNES` object.

4049:   Logically Collective

4051:   Input Parameter:
4052: . snes - the `SNES` context

4054:   Options Database Key:
4055: . -snes_monitor_cancel - cancels all monitors that have been hardwired
4056:     into a code by calls to `SNESMonitorSet()`, but does not cancel those
4057:     set via the options database

4059:   Level: intermediate

4061:   Note:
4062:   There is no way to clear one specific monitor from a `SNES` object.

4064: .seealso: [](ch_snes), `SNES`, `SNESMonitorGet()`, `SNESMonitorDefault()`, `SNESMonitorSet()`
4065: @*/
4066: PetscErrorCode SNESMonitorCancel(SNES snes)
4067: {
4068:   PetscInt i;

4070:   PetscFunctionBegin;
4072:   for (i = 0; i < snes->numbermonitors; i++) {
4073:     if (snes->monitordestroy[i]) PetscCall((*snes->monitordestroy[i])(&snes->monitorcontext[i]));
4074:   }
4075:   snes->numbermonitors = 0;
4076:   PetscFunctionReturn(PETSC_SUCCESS);
4077: }

4079: /*MC
4080:     SNESConvergenceTestFunction - functional form used for testing of convergence of nonlinear solver

4082:      Synopsis:
4083: #include <petscsnes.h>
4084:      PetscErrorCode SNESConvergenceTest(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *cctx)

4086:      Collective

4088:     Input Parameters:
4089: +    snes - the `SNES` context
4090: .    it - current iteration (0 is the first and is before any Newton step)
4091: .    xnorm - 2-norm of current iterate
4092: .    gnorm - 2-norm of current step
4093: .    f - 2-norm of function
4094: -    cctx - [optional] convergence context

4096:     Output Parameter:
4097: .    reason - reason for convergence/divergence, only needs to be set when convergence or divergence is detected

4099:    Level: intermediate

4101: .seealso: [](ch_snes), `SNES`, `SNESSolve`, `SNESSetConvergenceTest()`, `SNESGetConvergenceTest()`
4102: M*/

4104: /*@C
4105:   SNESSetConvergenceTest - Sets the function that is to be used
4106:   to test for convergence of the nonlinear iterative solution.

4108:   Logically Collective

4110:   Input Parameters:
4111: + snes                        - the `SNES` context
4112: . SNESConvergenceTestFunction - routine to test for convergence
4113: . cctx                        - [optional] context for private data for the convergence routine  (may be `NULL`)
4114: - destroy                     - [optional] destructor for the context (may be `NULL`; `PETSC_NULL_FUNCTION` in Fortran)

4116:   Level: advanced

4118: .seealso: [](ch_snes), `SNES`, `SNESConvergedDefault()`, `SNESConvergedSkip()`, `SNESConvergenceTestFunction`
4119: @*/
4120: PetscErrorCode SNESSetConvergenceTest(SNES snes, PetscErrorCode (*SNESConvergenceTestFunction)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *cctx, PetscErrorCode (*destroy)(void *))
4121: {
4122:   PetscFunctionBegin;
4124:   if (!SNESConvergenceTestFunction) SNESConvergenceTestFunction = SNESConvergedSkip;
4125:   if (snes->ops->convergeddestroy) PetscCall((*snes->ops->convergeddestroy)(snes->cnvP));
4126:   snes->ops->converged        = SNESConvergenceTestFunction;
4127:   snes->ops->convergeddestroy = destroy;
4128:   snes->cnvP                  = cctx;
4129:   PetscFunctionReturn(PETSC_SUCCESS);
4130: }

4132: /*@
4133:   SNESGetConvergedReason - Gets the reason the `SNES` iteration was stopped.

4135:   Not Collective

4137:   Input Parameter:
4138: . snes - the `SNES` context

4140:   Output Parameter:
4141: . reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` for the individual convergence tests for complete lists

4143:   Options Database Key:
4144: . -snes_converged_reason - prints the reason to standard out

4146:   Level: intermediate

4148:   Note:
4149:   Should only be called after the call the `SNESSolve()` is complete, if it is called earlier it returns the value `SNES__CONVERGED_ITERATING`.

4151: .seealso: [](ch_snes), `SNESSolve()`, `SNESSetConvergenceTest()`, `SNESSetConvergedReason()`, `SNESConvergedReason`, `SNESGetConvergedReasonString()`
4152: @*/
4153: PetscErrorCode SNESGetConvergedReason(SNES snes, SNESConvergedReason *reason)
4154: {
4155:   PetscFunctionBegin;
4157:   PetscAssertPointer(reason, 2);
4158:   *reason = snes->reason;
4159:   PetscFunctionReturn(PETSC_SUCCESS);
4160: }

4162: /*@C
4163:   SNESGetConvergedReasonString - Return a human readable string for `SNESConvergedReason`

4165:   Not Collective

4167:   Input Parameter:
4168: . snes - the `SNES` context

4170:   Output Parameter:
4171: . strreason - a human readable string that describes `SNES` converged reason

4173:   Level: beginner

4175: .seealso: [](ch_snes), `SNES`, `SNESGetConvergedReason()`
4176: @*/
4177: PetscErrorCode SNESGetConvergedReasonString(SNES snes, const char **strreason)
4178: {
4179:   PetscFunctionBegin;
4181:   PetscAssertPointer(strreason, 2);
4182:   *strreason = SNESConvergedReasons[snes->reason];
4183:   PetscFunctionReturn(PETSC_SUCCESS);
4184: }

4186: /*@
4187:   SNESSetConvergedReason - Sets the reason the `SNES` iteration was stopped.

4189:   Not Collective

4191:   Input Parameters:
4192: + snes   - the `SNES` context
4193: - reason - negative value indicates diverged, positive value converged, see `SNESConvergedReason` or the
4194:             manual pages for the individual convergence tests for complete lists

4196:   Level: developer

4198:   Developer Note:
4199:   Called inside the various `SNESSolve()` implementations

4201: .seealso: [](ch_snes), `SNESGetConvergedReason()`, `SNESSetConvergenceTest()`, `SNESConvergedReason`
4202: @*/
4203: PetscErrorCode SNESSetConvergedReason(SNES snes, SNESConvergedReason reason)
4204: {
4205:   PetscFunctionBegin;
4207:   PetscCheck(!snes->errorifnotconverged || reason > 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_PLIB, "SNES code should have previously errored due to negative reason");
4208:   snes->reason = reason;
4209:   PetscFunctionReturn(PETSC_SUCCESS);
4210: }

4212: /*@
4213:   SNESSetConvergenceHistory - Sets the arrays used to hold the convergence history.

4215:   Logically Collective

4217:   Input Parameters:
4218: + snes  - iterative context obtained from `SNESCreate()`
4219: . a     - array to hold history, this array will contain the function norms computed at each step
4220: . its   - integer array holds the number of linear iterations for each solve.
4221: . na    - size of `a` and `its`
4222: - reset - `PETSC_TRUE` indicates each new nonlinear solve resets the history counter to zero,
4223:            else it continues storing new values for new nonlinear solves after the old ones

4225:   Level: intermediate

4227:   Notes:
4228:   If 'a' and 'its' are `NULL` then space is allocated for the history. If 'na' `PETSC_DECIDE` or `PETSC_DEFAULT` then a
4229:   default array of length 10000 is allocated.

4231:   This routine is useful, e.g., when running a code for purposes
4232:   of accurate performance monitoring, when no I/O should be done
4233:   during the section of code that is being timed.

4235:   If the arrays run out of space after a number of iterations then the later values are not saved in the history

4237: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergenceHistory()`
4238: @*/
4239: PetscErrorCode SNESSetConvergenceHistory(SNES snes, PetscReal a[], PetscInt its[], PetscInt na, PetscBool reset)
4240: {
4241:   PetscFunctionBegin;
4243:   if (a) PetscAssertPointer(a, 2);
4244:   if (its) PetscAssertPointer(its, 3);
4245:   if (!a) {
4246:     if (na == PETSC_DECIDE || na == PETSC_DEFAULT) na = 1000;
4247:     PetscCall(PetscCalloc2(na, &a, na, &its));
4248:     snes->conv_hist_alloc = PETSC_TRUE;
4249:   }
4250:   snes->conv_hist       = a;
4251:   snes->conv_hist_its   = its;
4252:   snes->conv_hist_max   = (size_t)na;
4253:   snes->conv_hist_len   = 0;
4254:   snes->conv_hist_reset = reset;
4255:   PetscFunctionReturn(PETSC_SUCCESS);
4256: }

4258: #if defined(PETSC_HAVE_MATLAB)
4259:   #include <engine.h> /* MATLAB include file */
4260:   #include <mex.h>    /* MATLAB include file */

4262: PETSC_EXTERN mxArray *SNESGetConvergenceHistoryMatlab(SNES snes)
4263: {
4264:   mxArray   *mat;
4265:   PetscInt   i;
4266:   PetscReal *ar;

4268:   mat = mxCreateDoubleMatrix(snes->conv_hist_len, 1, mxREAL);
4269:   ar  = (PetscReal *)mxGetData(mat);
4270:   for (i = 0; i < snes->conv_hist_len; i++) ar[i] = snes->conv_hist[i];
4271:   return mat;
4272: }
4273: #endif

4275: /*@C
4276:   SNESGetConvergenceHistory - Gets the arrays used to hold the convergence history.

4278:   Not Collective

4280:   Input Parameter:
4281: . snes - iterative context obtained from `SNESCreate()`

4283:   Output Parameters:
4284: + a   - array to hold history, usually was set with `SNESSetConvergenceHistory()`
4285: . its - integer array holds the number of linear iterations (or
4286:          negative if not converged) for each solve.
4287: - na  - size of `a` and `its`

4289:   Level: intermediate

4291:   Note:
4292:   This routine is useful, e.g., when running a code for purposes
4293:   of accurate performance monitoring, when no I/O should be done
4294:   during the section of code that is being timed.

4296:   Fortran Note:
4297:   The calling sequence for this routine in Fortran is
4298: .vb
4299:     call SNESGetConvergenceHistory(SNES snes, integer na, integer ierr)
4300: .ve

4302: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetConvergenceHistory()`
4303: @*/
4304: PetscErrorCode SNESGetConvergenceHistory(SNES snes, PetscReal *a[], PetscInt *its[], PetscInt *na)
4305: {
4306:   PetscFunctionBegin;
4308:   if (a) *a = snes->conv_hist;
4309:   if (its) *its = snes->conv_hist_its;
4310:   if (na) *na = (PetscInt)snes->conv_hist_len;
4311:   PetscFunctionReturn(PETSC_SUCCESS);
4312: }

4314: /*@C
4315:   SNESSetUpdate - Sets the general-purpose update function called
4316:   at the beginning of every iteration of the nonlinear solve. Specifically
4317:   it is called just before the Jacobian is "evaluated".

4319:   Logically Collective

4321:   Input Parameters:
4322: + snes - The nonlinear solver context
4323: - func - The function

4325:   Calling sequence of `func`:
4326: + snes - the nonlinear solver context
4327: - step - The current step of the iteration

4329:   Level: advanced

4331:   Notes:
4332:   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
4333:   to `SNESSetFunction()`, or `SNESSetPicard()`
4334:   This is not used by most users.

4336:   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.

4338: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetJacobian()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchSetPostCheck()`, `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRSetPostCheck()`,
4339:          `SNESMonitorSet()`, `SNESSetDivergenceTest()`
4340: @*/
4341: PetscErrorCode SNESSetUpdate(SNES snes, PetscErrorCode (*func)(SNES snes, PetscInt step))
4342: {
4343:   PetscFunctionBegin;
4345:   snes->ops->update = func;
4346:   PetscFunctionReturn(PETSC_SUCCESS);
4347: }

4349: /*@C
4350:   SNESConvergedReasonView - Displays the reason a `SNES` solve converged or diverged to a viewer

4352:   Collective

4354:   Input Parameters:
4355: + snes   - iterative context obtained from `SNESCreate()`
4356: - viewer - the viewer to display the reason

4358:   Options Database Keys:
4359: + -snes_converged_reason          - print reason for converged or diverged, also prints number of iterations
4360: - -snes_converged_reason ::failed - only print reason and number of iterations when diverged

4362:   Level: beginner

4364:   Note:
4365:   To change the format of the output call `PetscViewerPushFormat`(viewer,format) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
4366:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

4368: .seealso: [](ch_snes), `SNESConvergedReason`, `PetscViewer`, `SNES`,
4369:           `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`, `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`,
4370:           `SNESConvergedReasonViewFromOptions()`,
4371:           `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
4372: @*/
4373: PetscErrorCode SNESConvergedReasonView(SNES snes, PetscViewer viewer)
4374: {
4375:   PetscViewerFormat format;
4376:   PetscBool         isAscii;

4378:   PetscFunctionBegin;
4379:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
4380:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
4381:   if (isAscii) {
4382:     PetscCall(PetscViewerGetFormat(viewer, &format));
4383:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)snes)->tablevel));
4384:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
4385:       DM       dm;
4386:       Vec      u;
4387:       PetscDS  prob;
4388:       PetscInt Nf, f;
4389:       PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
4390:       void    **exactCtx;
4391:       PetscReal error;

4393:       PetscCall(SNESGetDM(snes, &dm));
4394:       PetscCall(SNESGetSolution(snes, &u));
4395:       PetscCall(DMGetDS(dm, &prob));
4396:       PetscCall(PetscDSGetNumFields(prob, &Nf));
4397:       PetscCall(PetscMalloc2(Nf, &exactSol, Nf, &exactCtx));
4398:       for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(prob, f, &exactSol[f], &exactCtx[f]));
4399:       PetscCall(DMComputeL2Diff(dm, 0.0, exactSol, exactCtx, u, &error));
4400:       PetscCall(PetscFree2(exactSol, exactCtx));
4401:       if (error < 1.0e-11) PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: < 1.0e-11\n"));
4402:       else PetscCall(PetscViewerASCIIPrintf(viewer, "L_2 Error: %g\n", (double)error));
4403:     }
4404:     if (snes->reason > 0 && format != PETSC_VIEWER_FAILED) {
4405:       if (((PetscObject)snes)->prefix) {
4406:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4407:       } else {
4408:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve converged due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4409:       }
4410:     } else if (snes->reason <= 0) {
4411:       if (((PetscObject)snes)->prefix) {
4412:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)snes)->prefix, SNESConvergedReasons[snes->reason], snes->iter));
4413:       } else {
4414:         PetscCall(PetscViewerASCIIPrintf(viewer, "Nonlinear solve did not converge due to %s iterations %" PetscInt_FMT "\n", SNESConvergedReasons[snes->reason], snes->iter));
4415:       }
4416:     }
4417:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)snes)->tablevel));
4418:   }
4419:   PetscFunctionReturn(PETSC_SUCCESS);
4420: }

4422: /*@C
4423:   SNESConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
4424:   end of the nonlinear solver to display the convergence reason of the nonlinear solver.

4426:   Logically Collective

4428:   Input Parameters:
4429: + snes              - the `SNES` context
4430: . f                 - the `SNESConvergedReason` view function
4431: . vctx              - [optional] user-defined context for private data for the `SNESConvergedReason` view function (use `NULL` if no context is desired)
4432: - reasonviewdestroy - [optional] routine that frees the context (may be `NULL`)

4434:   Calling sequence of `f`:
4435: + snes - the `SNES` context
4436: - vctx - [optional] user-defined context for private data for the function

4438:   Calling sequence of `reasonviewerdestroy`:
4439: . vctx - [optional] user-defined context for private data for the function

4441:   Options Database Keys:
4442: + -snes_converged_reason             - sets a default `SNESConvergedReasonView()`
4443: - -snes_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
4444:                             calls to `SNESConvergedReasonViewSet()`, but does not cancel those set via the options database.

4446:   Level: intermediate

4448:   Note:
4449:   Several different converged reason view routines may be set by calling
4450:   `SNESConvergedReasonViewSet()` multiple times; all will be called in the
4451:   order in which they were set.

4453: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESConvergedReason`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`, `SNESConvergedReasonViewCancel()`
4454: @*/
4455: PetscErrorCode SNESConvergedReasonViewSet(SNES snes, PetscErrorCode (*f)(SNES snes, void *vctx), void *vctx, PetscErrorCode (*reasonviewdestroy)(void **vctx))
4456: {
4457:   PetscInt  i;
4458:   PetscBool identical;

4460:   PetscFunctionBegin;
4462:   for (i = 0; i < snes->numberreasonviews; i++) {
4463:     PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))f, vctx, reasonviewdestroy, (PetscErrorCode(*)(void))snes->reasonview[i], snes->reasonviewcontext[i], snes->reasonviewdestroy[i], &identical));
4464:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
4465:   }
4466:   PetscCheck(snes->numberreasonviews < MAXSNESREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many SNES reasonview set");
4467:   snes->reasonview[snes->numberreasonviews]          = f;
4468:   snes->reasonviewdestroy[snes->numberreasonviews]   = reasonviewdestroy;
4469:   snes->reasonviewcontext[snes->numberreasonviews++] = (void *)vctx;
4470:   PetscFunctionReturn(PETSC_SUCCESS);
4471: }

4473: /*@
4474:   SNESConvergedReasonViewFromOptions - Processes command line options to determine if/how a `SNESConvergedReason` is to be viewed at the end of `SNESSolve()`
4475:   All the user-provided convergedReasonView routines will be involved as well, if they exist.

4477:   Collective

4479:   Input Parameter:
4480: . snes - the `SNES` object

4482:   Level: advanced

4484: .seealso: [](ch_snes), `SNES`, `SNESConvergedReason`, `SNESConvergedReasonViewSet()`, `SNESCreate()`, `SNESSetUp()`, `SNESDestroy()`,
4485:           `SNESSetTolerances()`, `SNESConvergedDefault()`, `SNESGetConvergedReason()`, `SNESConvergedReasonView()`
4486: @*/
4487: PetscErrorCode SNESConvergedReasonViewFromOptions(SNES snes)
4488: {
4489:   PetscViewer       viewer;
4490:   PetscBool         flg;
4491:   static PetscBool  incall = PETSC_FALSE;
4492:   PetscViewerFormat format;
4493:   PetscInt          i;

4495:   PetscFunctionBegin;
4496:   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
4497:   incall = PETSC_TRUE;

4499:   /* All user-provided viewers are called first, if they exist. */
4500:   for (i = 0; i < snes->numberreasonviews; i++) PetscCall((*snes->reasonview[i])(snes, snes->reasonviewcontext[i]));

4502:   /* Call PETSc default routine if users ask for it */
4503:   PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_converged_reason", &viewer, &format, &flg));
4504:   if (flg) {
4505:     PetscCall(PetscViewerPushFormat(viewer, format));
4506:     PetscCall(SNESConvergedReasonView(snes, viewer));
4507:     PetscCall(PetscViewerPopFormat(viewer));
4508:     PetscCall(PetscViewerDestroy(&viewer));
4509:   }
4510:   incall = PETSC_FALSE;
4511:   PetscFunctionReturn(PETSC_SUCCESS);
4512: }

4514: /*@
4515:   SNESSolve - Solves a nonlinear system F(x) = b.

4517:   Collective

4519:   Input Parameters:
4520: + snes - the `SNES` context
4521: . b    - the constant part of the equation F(x) = b, or `NULL` to use zero.
4522: - x    - the solution vector.

4524:   Level: beginner

4526:   Note:
4527:   The user should initialize the vector, `x`, with the initial guess
4528:   for the nonlinear solve prior to calling `SNESSolve()` or use `SNESSetInitialSolution()`.  In particular,
4529:   to employ an initial guess of zero, the user should explicitly set
4530:   this vector to zero by calling `VecSet()`.

4532: .seealso: [](ch_snes), `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFunction()`, `SNESSetJacobian()`, `SNESSetGridSequence()`, `SNESGetSolution()`,
4533:           `SNESNewtonTRSetPreCheck()`, `SNESNewtonTRGetPreCheck()`, `SNESNewtonTRSetPostCheck()`, `SNESNewtonTRGetPostCheck()`,
4534:           `SNESLineSearchSetPostCheck()`, `SNESLineSearchGetPostCheck()`, `SNESLineSearchSetPreCheck()`, `SNESLineSearchGetPreCheck()`, `SNESSetInitialSolution()`
4535: @*/
4536: PetscErrorCode SNESSolve(SNES snes, Vec b, Vec x)
4537: {
4538:   PetscBool flg;
4539:   PetscInt  grid;
4540:   Vec       xcreated = NULL;
4541:   DM        dm;

4543:   PetscFunctionBegin;
4546:   if (x) PetscCheckSameComm(snes, 1, x, 3);
4548:   if (b) PetscCheckSameComm(snes, 1, b, 2);

4550:   /* High level operations using the nonlinear solver */
4551:   {
4552:     PetscViewer       viewer;
4553:     PetscViewerFormat format;
4554:     PetscInt          num;
4555:     PetscBool         flg;
4556:     static PetscBool  incall = PETSC_FALSE;

4558:     if (!incall) {
4559:       /* Estimate the convergence rate of the discretization */
4560:       PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_convergence_estimate", &viewer, &format, &flg));
4561:       if (flg) {
4562:         PetscConvEst conv;
4563:         DM           dm;
4564:         PetscReal   *alpha; /* Convergence rate of the solution error for each field in the L_2 norm */
4565:         PetscInt     Nf;

4567:         incall = PETSC_TRUE;
4568:         PetscCall(SNESGetDM(snes, &dm));
4569:         PetscCall(DMGetNumFields(dm, &Nf));
4570:         PetscCall(PetscCalloc1(Nf, &alpha));
4571:         PetscCall(PetscConvEstCreate(PetscObjectComm((PetscObject)snes), &conv));
4572:         PetscCall(PetscConvEstSetSolver(conv, (PetscObject)snes));
4573:         PetscCall(PetscConvEstSetFromOptions(conv));
4574:         PetscCall(PetscConvEstSetUp(conv));
4575:         PetscCall(PetscConvEstGetConvRate(conv, alpha));
4576:         PetscCall(PetscViewerPushFormat(viewer, format));
4577:         PetscCall(PetscConvEstRateView(conv, alpha, viewer));
4578:         PetscCall(PetscViewerPopFormat(viewer));
4579:         PetscCall(PetscViewerDestroy(&viewer));
4580:         PetscCall(PetscConvEstDestroy(&conv));
4581:         PetscCall(PetscFree(alpha));
4582:         incall = PETSC_FALSE;
4583:       }
4584:       /* Adaptively refine the initial grid */
4585:       num = 1;
4586:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_initial", &num, &flg));
4587:       if (flg) {
4588:         DMAdaptor adaptor;

4590:         incall = PETSC_TRUE;
4591:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4592:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4593:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4594:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4595:         PetscCall(DMAdaptorSetUp(adaptor));
4596:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_INITIAL, &dm, &x));
4597:         PetscCall(DMAdaptorDestroy(&adaptor));
4598:         incall = PETSC_FALSE;
4599:       }
4600:       /* Use grid sequencing to adapt */
4601:       num = 0;
4602:       PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)snes)->prefix, "-snes_adapt_sequence", &num, NULL));
4603:       if (num) {
4604:         DMAdaptor adaptor;

4606:         incall = PETSC_TRUE;
4607:         PetscCall(DMAdaptorCreate(PetscObjectComm((PetscObject)snes), &adaptor));
4608:         PetscCall(DMAdaptorSetSolver(adaptor, snes));
4609:         PetscCall(DMAdaptorSetSequenceLength(adaptor, num));
4610:         PetscCall(DMAdaptorSetFromOptions(adaptor));
4611:         PetscCall(DMAdaptorSetUp(adaptor));
4612:         PetscCall(DMAdaptorAdapt(adaptor, x, DM_ADAPTATION_SEQUENTIAL, &dm, &x));
4613:         PetscCall(DMAdaptorDestroy(&adaptor));
4614:         incall = PETSC_FALSE;
4615:       }
4616:     }
4617:   }
4618:   if (!x) x = snes->vec_sol;
4619:   if (!x) {
4620:     PetscCall(SNESGetDM(snes, &dm));
4621:     PetscCall(DMCreateGlobalVector(dm, &xcreated));
4622:     x = xcreated;
4623:   }
4624:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view_pre"));

4626:   for (grid = 0; grid < snes->gridsequence; grid++) PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4627:   for (grid = 0; grid < snes->gridsequence + 1; grid++) {
4628:     /* set solution vector */
4629:     if (!grid) PetscCall(PetscObjectReference((PetscObject)x));
4630:     PetscCall(VecDestroy(&snes->vec_sol));
4631:     snes->vec_sol = x;
4632:     PetscCall(SNESGetDM(snes, &dm));

4634:     /* set affine vector if provided */
4635:     if (b) PetscCall(PetscObjectReference((PetscObject)b));
4636:     PetscCall(VecDestroy(&snes->vec_rhs));
4637:     snes->vec_rhs = b;

4639:     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");
4640:     PetscCheck(snes->vec_func != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be function vector");
4641:     PetscCheck(snes->vec_rhs != snes->vec_sol, PETSC_COMM_SELF, PETSC_ERR_ARG_IDN, "Solution vector cannot be right hand side vector");
4642:     if (!snes->vec_sol_update /* && snes->vec_sol */) PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_sol_update));
4643:     PetscCall(DMShellSetGlobalVector(dm, snes->vec_sol));
4644:     PetscCall(SNESSetUp(snes));

4646:     if (!grid) {
4647:       if (snes->ops->computeinitialguess) PetscCallBack("SNES callback initial guess", (*snes->ops->computeinitialguess)(snes, snes->vec_sol, snes->initialguessP));
4648:     }

4650:     if (snes->conv_hist_reset) snes->conv_hist_len = 0;
4651:     if (snes->counters_reset) {
4652:       snes->nfuncs      = 0;
4653:       snes->linear_its  = 0;
4654:       snes->numFailures = 0;
4655:     }

4657:     snes->reason = SNES_CONVERGED_ITERATING;
4658:     PetscCall(PetscLogEventBegin(SNES_Solve, snes, 0, 0, 0));
4659:     PetscUseTypeMethod(snes, solve);
4660:     PetscCall(PetscLogEventEnd(SNES_Solve, snes, 0, 0, 0));
4661:     PetscCheck(snes->reason, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Internal error, solver %s returned without setting converged reason", ((PetscObject)snes)->type_name);
4662:     snes->domainerror = PETSC_FALSE; /* clear the flag if it has been set */

4664:     if (snes->lagjac_persist) snes->jac_iter += snes->iter;
4665:     if (snes->lagpre_persist) snes->pre_iter += snes->iter;

4667:     PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_test_local_min", NULL, NULL, &flg));
4668:     if (flg && !PetscPreLoadingOn) PetscCall(SNESTestLocalMin(snes));
4669:     /* Call converged reason views. This may involve user-provided viewers as well */
4670:     PetscCall(SNESConvergedReasonViewFromOptions(snes));

4672:     if (snes->errorifnotconverged) PetscCheck(snes->reason >= 0, PetscObjectComm((PetscObject)snes), PETSC_ERR_NOT_CONVERGED, "SNESSolve has not converged");
4673:     if (snes->reason < 0) break;
4674:     if (grid < snes->gridsequence) {
4675:       DM  fine;
4676:       Vec xnew;
4677:       Mat interp;

4679:       PetscCall(DMRefine(snes->dm, PetscObjectComm((PetscObject)snes), &fine));
4680:       PetscCheck(fine, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_INCOMP, "DMRefine() did not perform any refinement, cannot continue grid sequencing");
4681:       PetscCall(DMCreateInterpolation(snes->dm, fine, &interp, NULL));
4682:       PetscCall(DMCreateGlobalVector(fine, &xnew));
4683:       PetscCall(MatInterpolate(interp, x, xnew));
4684:       PetscCall(DMInterpolate(snes->dm, interp, fine));
4685:       PetscCall(MatDestroy(&interp));
4686:       x = xnew;

4688:       PetscCall(SNESReset(snes));
4689:       PetscCall(SNESSetDM(snes, fine));
4690:       PetscCall(SNESResetFromOptions(snes));
4691:       PetscCall(DMDestroy(&fine));
4692:       PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes))));
4693:     }
4694:   }
4695:   PetscCall(SNESViewFromOptions(snes, NULL, "-snes_view"));
4696:   PetscCall(VecViewFromOptions(snes->vec_sol, (PetscObject)snes, "-snes_view_solution"));
4697:   PetscCall(DMMonitor(snes->dm));
4698:   PetscCall(SNESMonitorPauseFinal_Internal(snes));

4700:   PetscCall(VecDestroy(&xcreated));
4701:   PetscCall(PetscObjectSAWsBlock((PetscObject)snes));
4702:   PetscFunctionReturn(PETSC_SUCCESS);
4703: }

4705: /* --------- Internal routines for SNES Package --------- */

4707: /*@C
4708:   SNESSetType - Sets the method for the nonlinear solver.

4710:   Collective

4712:   Input Parameters:
4713: + snes - the `SNES` context
4714: - type - a known method

4716:   Options Database Key:
4717: . -snes_type <type> - Sets the method; use -help for a list
4718:    of available methods (for instance, newtonls or newtontr)

4720:   Level: intermediate

4722:   Notes:
4723:   See "petsc/include/petscsnes.h" for available methods (for instance)
4724: +    `SNESNEWTONLS` - Newton's method with line search
4725:   (systems of nonlinear equations)
4726: -    `SNESNEWTONTR` - Newton's method with trust region
4727:   (systems of nonlinear equations)

4729:   Normally, it is best to use the `SNESSetFromOptions()` command and then
4730:   set the `SNES` solver type from the options database rather than by using
4731:   this routine.  Using the options database provides the user with
4732:   maximum flexibility in evaluating the many nonlinear solvers.
4733:   The `SNESSetType()` routine is provided for those situations where it
4734:   is necessary to set the nonlinear solver independently of the command
4735:   line or options database.  This might be the case, for example, when
4736:   the choice of solver changes during the execution of the program,
4737:   and the user's application is taking responsibility for choosing the
4738:   appropriate method.

4740:   Developer Note:
4741:   `SNESRegister()` adds a constructor for a new `SNESType` to `SNESList`, `SNESSetType()` locates
4742:   the constructor in that list and calls it to create the specific object.

4744: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESType`, `SNESCreate()`, `SNESDestroy()`, `SNESGetType()`, `SNESSetFromOptions()`
4745: @*/
4746: PetscErrorCode SNESSetType(SNES snes, SNESType type)
4747: {
4748:   PetscBool match;
4749:   PetscErrorCode (*r)(SNES);

4751:   PetscFunctionBegin;
4753:   PetscAssertPointer(type, 2);

4755:   PetscCall(PetscObjectTypeCompare((PetscObject)snes, type, &match));
4756:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4758:   PetscCall(PetscFunctionListFind(SNESList, type, &r));
4759:   PetscCheck(r, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unable to find requested SNES type %s", type);
4760:   /* Destroy the previous private SNES context */
4761:   PetscTryTypeMethod(snes, destroy);
4762:   /* Reinitialize function pointers in SNESOps structure */
4763:   snes->ops->setup          = NULL;
4764:   snes->ops->solve          = NULL;
4765:   snes->ops->view           = NULL;
4766:   snes->ops->setfromoptions = NULL;
4767:   snes->ops->destroy        = NULL;

4769:   /* It may happen the user has customized the line search before calling SNESSetType */
4770:   if (((PetscObject)snes)->type_name) PetscCall(SNESLineSearchDestroy(&snes->linesearch));

4772:   /* Call the SNESCreate_XXX routine for this particular Nonlinear solver */
4773:   snes->setupcalled = PETSC_FALSE;

4775:   PetscCall(PetscObjectChangeTypeName((PetscObject)snes, type));
4776:   PetscCall((*r)(snes));
4777:   PetscFunctionReturn(PETSC_SUCCESS);
4778: }

4780: /*@C
4781:   SNESGetType - Gets the `SNES` method type and name (as a string).

4783:   Not Collective

4785:   Input Parameter:
4786: . snes - nonlinear solver context

4788:   Output Parameter:
4789: . type - `SNES` method (a character string)

4791:   Level: intermediate

4793: .seealso: [](ch_snes), `SNESSetType()`, `SNESType`, `SNESSetFromOptions()`, `SNES`
4794: @*/
4795: PetscErrorCode SNESGetType(SNES snes, SNESType *type)
4796: {
4797:   PetscFunctionBegin;
4799:   PetscAssertPointer(type, 2);
4800:   *type = ((PetscObject)snes)->type_name;
4801:   PetscFunctionReturn(PETSC_SUCCESS);
4802: }

4804: /*@
4805:   SNESSetSolution - Sets the solution vector for use by the `SNES` routines.

4807:   Logically Collective

4809:   Input Parameters:
4810: + snes - the `SNES` context obtained from `SNESCreate()`
4811: - u    - the solution vector

4813:   Level: beginner

4815: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetSolution()`, `Vec`
4816: @*/
4817: PetscErrorCode SNESSetSolution(SNES snes, Vec u)
4818: {
4819:   DM dm;

4821:   PetscFunctionBegin;
4824:   PetscCall(PetscObjectReference((PetscObject)u));
4825:   PetscCall(VecDestroy(&snes->vec_sol));

4827:   snes->vec_sol = u;

4829:   PetscCall(SNESGetDM(snes, &dm));
4830:   PetscCall(DMShellSetGlobalVector(dm, u));
4831:   PetscFunctionReturn(PETSC_SUCCESS);
4832: }

4834: /*@
4835:   SNESGetSolution - Returns the vector where the approximate solution is
4836:   stored. This is the fine grid solution when using `SNESSetGridSequence()`.

4838:   Not Collective, but `x` is parallel if `snes` is parallel

4840:   Input Parameter:
4841: . snes - the `SNES` context

4843:   Output Parameter:
4844: . x - the solution

4846:   Level: intermediate

4848: .seealso: [](ch_snes), `SNESSetSolution()`, `SNESSolve()`, `SNES`, `SNESGetSolutionUpdate()`, `SNESGetFunction()`
4849: @*/
4850: PetscErrorCode SNESGetSolution(SNES snes, Vec *x)
4851: {
4852:   PetscFunctionBegin;
4854:   PetscAssertPointer(x, 2);
4855:   *x = snes->vec_sol;
4856:   PetscFunctionReturn(PETSC_SUCCESS);
4857: }

4859: /*@
4860:   SNESGetSolutionUpdate - Returns the vector where the solution update is
4861:   stored.

4863:   Not Collective, but `x` is parallel if `snes` is parallel

4865:   Input Parameter:
4866: . snes - the `SNES` context

4868:   Output Parameter:
4869: . x - the solution update

4871:   Level: advanced

4873: .seealso: [](ch_snes), `SNES`, `SNESGetSolution()`, `SNESGetFunction()`
4874: @*/
4875: PetscErrorCode SNESGetSolutionUpdate(SNES snes, Vec *x)
4876: {
4877:   PetscFunctionBegin;
4879:   PetscAssertPointer(x, 2);
4880:   *x = snes->vec_sol_update;
4881:   PetscFunctionReturn(PETSC_SUCCESS);
4882: }

4884: /*@C
4885:   SNESGetFunction - Returns the function that defines the nonlinear system set with `SNESSetFunction()`

4887:   Not Collective, but `r` is parallel if `snes` is parallel. Collective if `r` is requested, but has not been created yet.

4889:   Input Parameter:
4890: . snes - the `SNES` context

4892:   Output Parameters:
4893: + r   - the vector that is used to store residuals (or `NULL` if you don't want it)
4894: . f   - the function (or `NULL` if you don't want it);  for calling sequence see `SNESFunction`
4895: - ctx - the function context (or `NULL` if you don't want it)

4897:   Level: advanced

4899:   Note:
4900:   The vector `r` DOES NOT, in general, contain the current value of the `SNES` nonlinear function

4902: .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESSetFunction()`, `SNESGetSolution()`, `SNESFunction`
4903: @*/
4904: PetscErrorCode SNESGetFunction(SNES snes, Vec *r, PetscErrorCode (**f)(SNES, Vec, Vec, void *), void **ctx)
4905: {
4906:   DM dm;

4908:   PetscFunctionBegin;
4910:   if (r) {
4911:     if (!snes->vec_func) {
4912:       if (snes->vec_rhs) {
4913:         PetscCall(VecDuplicate(snes->vec_rhs, &snes->vec_func));
4914:       } else if (snes->vec_sol) {
4915:         PetscCall(VecDuplicate(snes->vec_sol, &snes->vec_func));
4916:       } else if (snes->dm) {
4917:         PetscCall(DMCreateGlobalVector(snes->dm, &snes->vec_func));
4918:       }
4919:     }
4920:     *r = snes->vec_func;
4921:   }
4922:   PetscCall(SNESGetDM(snes, &dm));
4923:   PetscCall(DMSNESGetFunction(dm, f, ctx));
4924:   PetscFunctionReturn(PETSC_SUCCESS);
4925: }

4927: /*@C
4928:   SNESGetNGS - Returns the function and context set with `SNESSetNGS()`

4930:   Input Parameter:
4931: . snes - the `SNES` context

4933:   Output Parameters:
4934: + f   - the function (or `NULL`) see `SNESSetNGS()` for details
4935: - ctx - the function context (or `NULL`)

4937:   Level: advanced

4939: .seealso: [](ch_snes), `SNESSetNGS()`, `SNESGetFunction()`
4940: @*/
4941: PetscErrorCode SNESGetNGS(SNES snes, PetscErrorCode (**f)(SNES, Vec, Vec, void *), void **ctx)
4942: {
4943:   DM dm;

4945:   PetscFunctionBegin;
4947:   PetscCall(SNESGetDM(snes, &dm));
4948:   PetscCall(DMSNESGetNGS(dm, f, ctx));
4949:   PetscFunctionReturn(PETSC_SUCCESS);
4950: }

4952: /*@C
4953:   SNESSetOptionsPrefix - Sets the prefix used for searching for all
4954:   `SNES` options in the database.

4956:   Logically Collective

4958:   Input Parameters:
4959: + snes   - the `SNES` context
4960: - prefix - the prefix to prepend to all option names

4962:   Level: advanced

4964:   Note:
4965:   A hyphen (-) must NOT be given at the beginning of the prefix name.
4966:   The first character of all runtime options is AUTOMATICALLY the hyphen.

4968: .seealso: [](ch_snes), `SNES`, `SNESSetFromOptions()`, `SNESAppendOptionsPrefix()`
4969: @*/
4970: PetscErrorCode SNESSetOptionsPrefix(SNES snes, const char prefix[])
4971: {
4972:   PetscFunctionBegin;
4974:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes, prefix));
4975:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
4976:   if (snes->linesearch) {
4977:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
4978:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)snes->linesearch, prefix));
4979:   }
4980:   PetscCall(KSPSetOptionsPrefix(snes->ksp, prefix));
4981:   PetscFunctionReturn(PETSC_SUCCESS);
4982: }

4984: /*@C
4985:   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
4986:   `SNES` options in the database.

4988:   Logically Collective

4990:   Input Parameters:
4991: + snes   - the `SNES` context
4992: - prefix - the prefix to prepend to all option names

4994:   Level: advanced

4996:   Note:
4997:   A hyphen (-) must NOT be given at the beginning of the prefix name.
4998:   The first character of all runtime options is AUTOMATICALLY the hyphen.

5000: .seealso: [](ch_snes), `SNESGetOptionsPrefix()`, `SNESSetOptionsPrefix()`
5001: @*/
5002: PetscErrorCode SNESAppendOptionsPrefix(SNES snes, const char prefix[])
5003: {
5004:   PetscFunctionBegin;
5006:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix));
5007:   if (!snes->ksp) PetscCall(SNESGetKSP(snes, &snes->ksp));
5008:   if (snes->linesearch) {
5009:     PetscCall(SNESGetLineSearch(snes, &snes->linesearch));
5010:     PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)snes->linesearch, prefix));
5011:   }
5012:   PetscCall(KSPAppendOptionsPrefix(snes->ksp, prefix));
5013:   PetscFunctionReturn(PETSC_SUCCESS);
5014: }

5016: /*@C
5017:   SNESGetOptionsPrefix - Gets the prefix used for searching for all
5018:   `SNES` options in the database.

5020:   Not Collective

5022:   Input Parameter:
5023: . snes - the `SNES` context

5025:   Output Parameter:
5026: . prefix - pointer to the prefix string used

5028:   Level: advanced

5030:   Fortran Note:
5031:   The user should pass in a string 'prefix' of
5032:   sufficient length to hold the prefix.

5034: .seealso: [](ch_snes), `SNES`, `SNESSetOptionsPrefix()`, `SNESAppendOptionsPrefix()`
5035: @*/
5036: PetscErrorCode SNESGetOptionsPrefix(SNES snes, const char *prefix[])
5037: {
5038:   PetscFunctionBegin;
5040:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)snes, prefix));
5041:   PetscFunctionReturn(PETSC_SUCCESS);
5042: }

5044: /*@C
5045:   SNESRegister - Adds a method to the nonlinear solver package.

5047:   Not Collective

5049:   Input Parameters:
5050: + sname    - name of a new user-defined solver
5051: - function - routine to create method context

5053:   Level: advanced

5055:   Note:
5056:   `SNESRegister()` may be called multiple times to add several user-defined solvers.

5058:   Example Usage:
5059: .vb
5060:    SNESRegister("my_solver", MySolverCreate);
5061: .ve

5063:   Then, your solver can be chosen with the procedural interface via
5064: $     SNESSetType(snes, "my_solver")
5065:   or at runtime via the option
5066: $     -snes_type my_solver

5068: .seealso: [](ch_snes), `SNESRegisterAll()`, `SNESRegisterDestroy()`
5069: @*/
5070: PetscErrorCode SNESRegister(const char sname[], PetscErrorCode (*function)(SNES))
5071: {
5072:   PetscFunctionBegin;
5073:   PetscCall(SNESInitializePackage());
5074:   PetscCall(PetscFunctionListAdd(&SNESList, sname, function));
5075:   PetscFunctionReturn(PETSC_SUCCESS);
5076: }

5078: PetscErrorCode SNESTestLocalMin(SNES snes)
5079: {
5080:   PetscInt    N, i, j;
5081:   Vec         u, uh, fh;
5082:   PetscScalar value;
5083:   PetscReal   norm;

5085:   PetscFunctionBegin;
5086:   PetscCall(SNESGetSolution(snes, &u));
5087:   PetscCall(VecDuplicate(u, &uh));
5088:   PetscCall(VecDuplicate(u, &fh));

5090:   /* currently only works for sequential */
5091:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "Testing FormFunction() for local min\n"));
5092:   PetscCall(VecGetSize(u, &N));
5093:   for (i = 0; i < N; i++) {
5094:     PetscCall(VecCopy(u, uh));
5095:     PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "i = %" PetscInt_FMT "\n", i));
5096:     for (j = -10; j < 11; j++) {
5097:       value = PetscSign(j) * PetscExpReal(PetscAbs(j) - 10.0);
5098:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5099:       PetscCall(SNESComputeFunction(snes, uh, fh));
5100:       PetscCall(VecNorm(fh, NORM_2, &norm));
5101:       PetscCall(PetscPrintf(PetscObjectComm((PetscObject)snes), "       j norm %" PetscInt_FMT " %18.16e\n", j, (double)norm));
5102:       value = -value;
5103:       PetscCall(VecSetValue(uh, i, value, ADD_VALUES));
5104:     }
5105:   }
5106:   PetscCall(VecDestroy(&uh));
5107:   PetscCall(VecDestroy(&fh));
5108:   PetscFunctionReturn(PETSC_SUCCESS);
5109: }

5111: /*@
5112:   SNESKSPSetUseEW - Sets `SNES` to the use Eisenstat-Walker method for
5113:   computing relative tolerance for linear solvers within an inexact
5114:   Newton method.

5116:   Logically Collective

5118:   Input Parameters:
5119: + snes - `SNES` context
5120: - flag - `PETSC_TRUE` or `PETSC_FALSE`

5122:   Options Database Keys:
5123: + -snes_ksp_ew                       - use Eisenstat-Walker method for determining linear system convergence
5124: . -snes_ksp_ew_version ver           - version of  Eisenstat-Walker method
5125: . -snes_ksp_ew_rtol0 <rtol0>         - Sets rtol0
5126: . -snes_ksp_ew_rtolmax <rtolmax>     - Sets rtolmax
5127: . -snes_ksp_ew_gamma <gamma>         - Sets gamma
5128: . -snes_ksp_ew_alpha <alpha>         - Sets alpha
5129: . -snes_ksp_ew_alpha2 <alpha2>       - Sets alpha2
5130: - -snes_ksp_ew_threshold <threshold> - Sets threshold

5132:   Level: advanced

5134:   Note:
5135:   The default is to use a constant relative tolerance for
5136:   the inner linear solvers.  Alternatively, one can use the
5137:   Eisenstat-Walker method {cite}`ew96`, where the relative convergence tolerance
5138:   is reset at each Newton iteration according progress of the nonlinear
5139:   solver.

5141: .seealso: [](ch_snes), `KSP`, `SNES`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5142: @*/
5143: PetscErrorCode SNESKSPSetUseEW(SNES snes, PetscBool flag)
5144: {
5145:   PetscFunctionBegin;
5148:   snes->ksp_ewconv = flag;
5149:   PetscFunctionReturn(PETSC_SUCCESS);
5150: }

5152: /*@
5153:   SNESKSPGetUseEW - Gets if `SNES` is using Eisenstat-Walker method
5154:   for computing relative tolerance for linear solvers within an
5155:   inexact Newton method.

5157:   Not Collective

5159:   Input Parameter:
5160: . snes - `SNES` context

5162:   Output Parameter:
5163: . flag - `PETSC_TRUE` or `PETSC_FALSE`

5165:   Level: advanced

5167: .seealso: [](ch_snes), `SNESKSPSetUseEW()`, `SNESKSPGetParametersEW()`, `SNESKSPSetParametersEW()`
5168: @*/
5169: PetscErrorCode SNESKSPGetUseEW(SNES snes, PetscBool *flag)
5170: {
5171:   PetscFunctionBegin;
5173:   PetscAssertPointer(flag, 2);
5174:   *flag = snes->ksp_ewconv;
5175:   PetscFunctionReturn(PETSC_SUCCESS);
5176: }

5178: /*@
5179:   SNESKSPSetParametersEW - Sets parameters for Eisenstat-Walker
5180:   convergence criteria for the linear solvers within an inexact
5181:   Newton method.

5183:   Logically Collective

5185:   Input Parameters:
5186: + snes      - `SNES` context
5187: . version   - version 1, 2 (default is 2), 3 or 4
5188: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5189: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5190: . gamma     - multiplicative factor for version 2 rtol computation
5191:              (0 <= gamma2 <= 1)
5192: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5193: . alpha2    - power for safeguard
5194: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5196:   Level: advanced

5198:   Notes:
5199:   Version 3 was contributed by Luis Chacon, June 2006.

5201:   Use `PETSC_DEFAULT` to retain the default for any of the parameters.

5203: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPGetParametersEW()`
5204: @*/
5205: PetscErrorCode SNESKSPSetParametersEW(SNES snes, PetscInt version, PetscReal rtol_0, PetscReal rtol_max, PetscReal gamma, PetscReal alpha, PetscReal alpha2, PetscReal threshold)
5206: {
5207:   SNESKSPEW *kctx;

5209:   PetscFunctionBegin;
5211:   kctx = (SNESKSPEW *)snes->kspconvctx;
5212:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");

5221:   if (version != PETSC_DEFAULT) kctx->version = version;
5222:   if (rtol_0 != (PetscReal)PETSC_DEFAULT) kctx->rtol_0 = rtol_0;
5223:   if (rtol_max != (PetscReal)PETSC_DEFAULT) kctx->rtol_max = rtol_max;
5224:   if (gamma != (PetscReal)PETSC_DEFAULT) kctx->gamma = gamma;
5225:   if (alpha != (PetscReal)PETSC_DEFAULT) kctx->alpha = alpha;
5226:   if (alpha2 != (PetscReal)PETSC_DEFAULT) kctx->alpha2 = alpha2;
5227:   if (threshold != (PetscReal)PETSC_DEFAULT) kctx->threshold = threshold;

5229:   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);
5230:   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);
5231:   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);
5232:   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);
5233:   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);
5234:   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);
5235:   PetscFunctionReturn(PETSC_SUCCESS);
5236: }

5238: /*@
5239:   SNESKSPGetParametersEW - Gets parameters for Eisenstat-Walker
5240:   convergence criteria for the linear solvers within an inexact
5241:   Newton method.

5243:   Not Collective

5245:   Input Parameter:
5246: . snes - `SNES` context

5248:   Output Parameters:
5249: + version   - version 1, 2 (default is 2), 3 or 4
5250: . rtol_0    - initial relative tolerance (0 <= rtol_0 < 1)
5251: . rtol_max  - maximum relative tolerance (0 <= rtol_max < 1)
5252: . gamma     - multiplicative factor for version 2 rtol computation (0 <= gamma2 <= 1)
5253: . alpha     - power for version 2 rtol computation (1 < alpha <= 2)
5254: . alpha2    - power for safeguard
5255: - threshold - threshold for imposing safeguard (0 < threshold < 1)

5257:   Level: advanced

5259: .seealso: [](ch_snes), `SNES`, `SNESKSPSetUseEW()`, `SNESKSPGetUseEW()`, `SNESKSPSetParametersEW()`
5260: @*/
5261: PetscErrorCode SNESKSPGetParametersEW(SNES snes, PetscInt *version, PetscReal *rtol_0, PetscReal *rtol_max, PetscReal *gamma, PetscReal *alpha, PetscReal *alpha2, PetscReal *threshold)
5262: {
5263:   SNESKSPEW *kctx;

5265:   PetscFunctionBegin;
5267:   kctx = (SNESKSPEW *)snes->kspconvctx;
5268:   PetscCheck(kctx, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "No Eisenstat-Walker context existing");
5269:   if (version) *version = kctx->version;
5270:   if (rtol_0) *rtol_0 = kctx->rtol_0;
5271:   if (rtol_max) *rtol_max = kctx->rtol_max;
5272:   if (gamma) *gamma = kctx->gamma;
5273:   if (alpha) *alpha = kctx->alpha;
5274:   if (alpha2) *alpha2 = kctx->alpha2;
5275:   if (threshold) *threshold = kctx->threshold;
5276:   PetscFunctionReturn(PETSC_SUCCESS);
5277: }

5279: PetscErrorCode KSPPreSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5280: {
5281:   SNES       snes = (SNES)ctx;
5282:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5283:   PetscReal  rtol = PETSC_DEFAULT, stol;

5285:   PetscFunctionBegin;
5286:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5287:   if (!snes->iter) {
5288:     rtol = kctx->rtol_0; /* first time in, so use the original user rtol */
5289:     PetscCall(VecNorm(snes->vec_func, NORM_2, &kctx->norm_first));
5290:   } else {
5291:     PetscCheck(kctx->version >= 1 && kctx->version <= 4, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Only versions 1-4 are supported: %" PetscInt_FMT, kctx->version);
5292:     if (kctx->version == 1) {
5293:       rtol = PetscAbsReal(snes->norm - kctx->lresid_last) / kctx->norm_last;
5294:       stol = PetscPowReal(kctx->rtol_last, kctx->alpha2);
5295:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5296:     } else if (kctx->version == 2) {
5297:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5298:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5299:       if (stol > kctx->threshold) rtol = PetscMax(rtol, stol);
5300:     } else if (kctx->version == 3) { /* contributed by Luis Chacon, June 2006. */
5301:       rtol = kctx->gamma * PetscPowReal(snes->norm / kctx->norm_last, kctx->alpha);
5302:       /* safeguard: avoid sharp decrease of rtol */
5303:       stol = kctx->gamma * PetscPowReal(kctx->rtol_last, kctx->alpha);
5304:       stol = PetscMax(rtol, stol);
5305:       rtol = PetscMin(kctx->rtol_0, stol);
5306:       /* safeguard: avoid oversolving */
5307:       stol = kctx->gamma * (kctx->norm_first * snes->rtol) / snes->norm;
5308:       stol = PetscMax(rtol, stol);
5309:       rtol = PetscMin(kctx->rtol_0, stol);
5310:     } else /* if (kctx->version == 4) */ {
5311:       /* H.-B. An et al. Journal of Computational and Applied Mathematics 200 (2007) 47-60 */
5312:       PetscReal ared = PetscAbsReal(kctx->norm_last - snes->norm);
5313:       PetscReal pred = PetscAbsReal(kctx->norm_last - kctx->lresid_last);
5314:       PetscReal rk   = ared / pred;
5315:       if (rk < kctx->v4_p1) rtol = 1. - 2. * kctx->v4_p1;
5316:       else if (rk < kctx->v4_p2) rtol = kctx->rtol_last;
5317:       else if (rk < kctx->v4_p3) rtol = kctx->v4_m1 * kctx->rtol_last;
5318:       else rtol = kctx->v4_m2 * kctx->rtol_last;

5320:       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;
5321:       kctx->rtol_last_2 = kctx->rtol_last;
5322:       kctx->rk_last_2   = kctx->rk_last;
5323:       kctx->rk_last     = rk;
5324:     }
5325:   }
5326:   /* safeguard: avoid rtol greater than rtol_max */
5327:   rtol = PetscMin(rtol, kctx->rtol_max);
5328:   PetscCall(KSPSetTolerances(ksp, rtol, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT));
5329:   PetscCall(PetscInfo(snes, "iter %" PetscInt_FMT ", Eisenstat-Walker (version %" PetscInt_FMT ") KSP rtol=%g\n", snes->iter, kctx->version, (double)rtol));
5330:   PetscFunctionReturn(PETSC_SUCCESS);
5331: }

5333: PetscErrorCode KSPPostSolve_SNESEW(KSP ksp, Vec b, Vec x, void *ctx)
5334: {
5335:   SNES       snes = (SNES)ctx;
5336:   SNESKSPEW *kctx = (SNESKSPEW *)snes->kspconvctx;
5337:   PCSide     pcside;
5338:   Vec        lres;

5340:   PetscFunctionBegin;
5341:   if (!snes->ksp_ewconv) PetscFunctionReturn(PETSC_SUCCESS);
5342:   PetscCall(KSPGetTolerances(ksp, &kctx->rtol_last, NULL, NULL, NULL));
5343:   kctx->norm_last = snes->norm;
5344:   if (kctx->version == 1 || kctx->version == 4) {
5345:     PC        pc;
5346:     PetscBool getRes;

5348:     PetscCall(KSPGetPC(ksp, &pc));
5349:     PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCNONE, &getRes));
5350:     if (!getRes) {
5351:       KSPNormType normtype;

5353:       PetscCall(KSPGetNormType(ksp, &normtype));
5354:       getRes = (PetscBool)(normtype == KSP_NORM_UNPRECONDITIONED);
5355:     }
5356:     PetscCall(KSPGetPCSide(ksp, &pcside));
5357:     if (pcside == PC_RIGHT || getRes) { /* KSP residual is true linear residual */
5358:       PetscCall(KSPGetResidualNorm(ksp, &kctx->lresid_last));
5359:     } else {
5360:       /* KSP residual is preconditioned residual */
5361:       /* compute true linear residual norm */
5362:       Mat J;
5363:       PetscCall(KSPGetOperators(ksp, &J, NULL));
5364:       PetscCall(VecDuplicate(b, &lres));
5365:       PetscCall(MatMult(J, x, lres));
5366:       PetscCall(VecAYPX(lres, -1.0, b));
5367:       PetscCall(VecNorm(lres, NORM_2, &kctx->lresid_last));
5368:       PetscCall(VecDestroy(&lres));
5369:     }
5370:   }
5371:   PetscFunctionReturn(PETSC_SUCCESS);
5372: }

5374: /*@
5375:   SNESGetKSP - Returns the `KSP` context for a `SNES` solver.

5377:   Not Collective, but if `snes` is parallel, then `ksp` is parallel

5379:   Input Parameter:
5380: . snes - the `SNES` context

5382:   Output Parameter:
5383: . ksp - the `KSP` context

5385:   Level: beginner

5387:   Notes:
5388:   The user can then directly manipulate the `KSP` context to set various
5389:   options, etc.  Likewise, the user can then extract and manipulate the
5390:   `PC` contexts as well.

5392:   Some `SNESType`s do not use a `KSP` but a `KSP` is still returned by this function

5394: .seealso: [](ch_snes), `SNES`, `KSP`, `PC`, `KSPGetPC()`, `SNESCreate()`, `KSPCreate()`, `SNESSetKSP()`
5395: @*/
5396: PetscErrorCode SNESGetKSP(SNES snes, KSP *ksp)
5397: {
5398:   PetscFunctionBegin;
5400:   PetscAssertPointer(ksp, 2);

5402:   if (!snes->ksp) {
5403:     PetscCall(KSPCreate(PetscObjectComm((PetscObject)snes), &snes->ksp));
5404:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->ksp, (PetscObject)snes, 1));

5406:     PetscCall(KSPSetPreSolve(snes->ksp, KSPPreSolve_SNESEW, snes));
5407:     PetscCall(KSPSetPostSolve(snes->ksp, KSPPostSolve_SNESEW, snes));

5409:     PetscCall(KSPMonitorSetFromOptions(snes->ksp, "-snes_monitor_ksp", "snes_preconditioned_residual", snes));
5410:     PetscCall(PetscObjectSetOptions((PetscObject)snes->ksp, ((PetscObject)snes)->options));
5411:   }
5412:   *ksp = snes->ksp;
5413:   PetscFunctionReturn(PETSC_SUCCESS);
5414: }

5416: #include <petsc/private/dmimpl.h>
5417: /*@
5418:   SNESSetDM - Sets the `DM` that may be used by some nonlinear solvers or their underlying preconditioners

5420:   Logically Collective

5422:   Input Parameters:
5423: + snes - the nonlinear solver context
5424: - dm   - the `DM`, cannot be `NULL`

5426:   Level: intermediate

5428:   Note:
5429:   A `DM` can only be used for solving one problem at a time because information about the problem is stored on the `DM`,
5430:   even when not using interfaces like `DMSNESSetFunction()`.  Use `DMClone()` to get a distinct `DM` when solving different
5431:   problems using the same function space.

5433: .seealso: [](ch_snes), `DM`, `SNES`, `SNESGetDM()`, `KSPSetDM()`, `KSPGetDM()`
5434: @*/
5435: PetscErrorCode SNESSetDM(SNES snes, DM dm)
5436: {
5437:   KSP    ksp;
5438:   DMSNES sdm;

5440:   PetscFunctionBegin;
5443:   PetscCall(PetscObjectReference((PetscObject)dm));
5444:   if (snes->dm) { /* Move the DMSNES context over to the new DM unless the new DM already has one */
5445:     if (snes->dm->dmsnes && !dm->dmsnes) {
5446:       PetscCall(DMCopyDMSNES(snes->dm, dm));
5447:       PetscCall(DMGetDMSNES(snes->dm, &sdm));
5448:       if (sdm->originaldm == snes->dm) sdm->originaldm = dm; /* Grant write privileges to the replacement DM */
5449:     }
5450:     PetscCall(DMCoarsenHookRemove(snes->dm, DMCoarsenHook_SNESVecSol, DMRestrictHook_SNESVecSol, snes));
5451:     PetscCall(DMDestroy(&snes->dm));
5452:   }
5453:   snes->dm     = dm;
5454:   snes->dmAuto = PETSC_FALSE;

5456:   PetscCall(SNESGetKSP(snes, &ksp));
5457:   PetscCall(KSPSetDM(ksp, dm));
5458:   PetscCall(KSPSetDMActive(ksp, PETSC_FALSE));
5459:   if (snes->npc) {
5460:     PetscCall(SNESSetDM(snes->npc, snes->dm));
5461:     PetscCall(SNESSetNPCSide(snes, snes->npcside));
5462:   }
5463:   PetscFunctionReturn(PETSC_SUCCESS);
5464: }

5466: /*@
5467:   SNESGetDM - Gets the `DM` that may be used by some solvers/preconditioners

5469:   Not Collective but dm obtained is parallel on snes

5471:   Input Parameter:
5472: . snes - the `SNES` context

5474:   Output Parameter:
5475: . dm - the `DM`

5477:   Level: intermediate

5479: .seealso: [](ch_snes), `DM`, `SNES`, `SNESSetDM()`, `KSPSetDM()`, `KSPGetDM()`
5480: @*/
5481: PetscErrorCode SNESGetDM(SNES snes, DM *dm)
5482: {
5483:   PetscFunctionBegin;
5485:   if (!snes->dm) {
5486:     PetscCall(DMShellCreate(PetscObjectComm((PetscObject)snes), &snes->dm));
5487:     snes->dmAuto = PETSC_TRUE;
5488:   }
5489:   *dm = snes->dm;
5490:   PetscFunctionReturn(PETSC_SUCCESS);
5491: }

5493: /*@
5494:   SNESSetNPC - Sets the nonlinear preconditioner to be used.

5496:   Collective

5498:   Input Parameters:
5499: + snes - iterative context obtained from `SNESCreate()`
5500: - npc  - the nonlinear preconditioner object

5502:   Level: developer

5504:   Notes:
5505:   Use `SNESGetNPC()` to retrieve the preconditioner context (for example,
5506:   to configure it using the API).

5508:   Only some `SNESType` can use a nonlinear preconditioner

5510: .seealso: [](ch_snes), `SNES`, `SNESNGS`, `SNESFAS`, `SNESGetNPC()`, `SNESHasNPC()`
5511: @*/
5512: PetscErrorCode SNESSetNPC(SNES snes, SNES npc)
5513: {
5514:   PetscFunctionBegin;
5517:   PetscCheckSameComm(snes, 1, npc, 2);
5518:   PetscCall(PetscObjectReference((PetscObject)npc));
5519:   PetscCall(SNESDestroy(&snes->npc));
5520:   snes->npc = npc;
5521:   PetscFunctionReturn(PETSC_SUCCESS);
5522: }

5524: /*@
5525:   SNESGetNPC - Gets a nonlinear preconditioning solver SNES` to be used to precondition the original nonlinear solver.

5527:   Not Collective; but any changes to the obtained the npc object must be applied collectively

5529:   Input Parameter:
5530: . snes - iterative context obtained from `SNESCreate()`

5532:   Output Parameter:
5533: . pc - preconditioner context

5535:   Options Database Key:
5536: . -npc_snes_type <type> - set the type of the `SNES` to use as the nonlinear preconditioner

5538:   Level: developer

5540:   Notes:
5541:   If a `SNES` was previously set with `SNESSetNPC()` then that value is returned, otherwise a new `SNES` object is created.

5543:   The (preconditioner) `SNES` returned automatically inherits the same nonlinear function and Jacobian supplied to the original
5544:   `SNES`

5546: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESHasNPC()`, `SNES`, `SNESCreate()`
5547: @*/
5548: PetscErrorCode SNESGetNPC(SNES snes, SNES *pc)
5549: {
5550:   const char *optionsprefix;

5552:   PetscFunctionBegin;
5554:   PetscAssertPointer(pc, 2);
5555:   if (!snes->npc) {
5556:     void *ctx;

5558:     PetscCall(SNESCreate(PetscObjectComm((PetscObject)snes), &snes->npc));
5559:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->npc, (PetscObject)snes, 1));
5560:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5561:     PetscCall(SNESSetOptionsPrefix(snes->npc, optionsprefix));
5562:     PetscCall(SNESAppendOptionsPrefix(snes->npc, "npc_"));
5563:     PetscCall(SNESGetApplicationContext(snes, &ctx));
5564:     PetscCall(SNESSetApplicationContext(snes->npc, ctx));
5565:     PetscCall(SNESSetCountersReset(snes->npc, PETSC_FALSE));
5566:   }
5567:   *pc = snes->npc;
5568:   PetscFunctionReturn(PETSC_SUCCESS);
5569: }

5571: /*@
5572:   SNESHasNPC - Returns whether a nonlinear preconditioner exists

5574:   Not Collective

5576:   Input Parameter:
5577: . snes - iterative context obtained from `SNESCreate()`

5579:   Output Parameter:
5580: . has_npc - whether the `SNES` has a nonlinear preconditioner or not

5582:   Level: developer

5584: .seealso: [](ch_snes), `SNESSetNPC()`, `SNESGetNPC()`
5585: @*/
5586: PetscErrorCode SNESHasNPC(SNES snes, PetscBool *has_npc)
5587: {
5588:   PetscFunctionBegin;
5590:   *has_npc = (PetscBool)(snes->npc ? PETSC_TRUE : PETSC_FALSE);
5591:   PetscFunctionReturn(PETSC_SUCCESS);
5592: }

5594: /*@
5595:   SNESSetNPCSide - Sets the nonlinear preconditioning side.

5597:   Logically Collective

5599:   Input Parameter:
5600: . snes - iterative context obtained from `SNESCreate()`

5602:   Output Parameter:
5603: . side - the preconditioning side, where side is one of
5604: .vb
5605:       PC_LEFT - left preconditioning
5606:       PC_RIGHT - right preconditioning (default for most nonlinear solvers)
5607: .ve

5609:   Options Database Key:
5610: . -snes_npc_side <right,left> - nonlinear preconditioner side

5612:   Level: intermediate

5614:   Note:
5615:   `SNESNRICHARDSON` and `SNESNCG` only support left preconditioning.

5617: .seealso: [](ch_snes), `SNES`, `SNESNRICHARDSON`, `SNESNCG`, `SNESType`, `SNESGetNPCSide()`, `KSPSetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5618: @*/
5619: PetscErrorCode SNESSetNPCSide(SNES snes, PCSide side)
5620: {
5621:   PetscFunctionBegin;
5624:   if (side == PC_SIDE_DEFAULT) side = PC_RIGHT;
5625:   PetscCheck((side == PC_LEFT) || (side == PC_RIGHT), PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "Only PC_LEFT and PC_RIGHT are supported");
5626:   snes->npcside = side;
5627:   PetscFunctionReturn(PETSC_SUCCESS);
5628: }

5630: /*@
5631:   SNESGetNPCSide - Gets the preconditioning side.

5633:   Not Collective

5635:   Input Parameter:
5636: . snes - iterative context obtained from `SNESCreate()`

5638:   Output Parameter:
5639: . side - the preconditioning side, where side is one of
5640: .vb
5641:       `PC_LEFT` - left preconditioning
5642:       `PC_RIGHT` - right preconditioning (default for most nonlinear solvers)
5643: .ve

5645:   Level: intermediate

5647: .seealso: [](ch_snes), `SNES`, `SNESSetNPCSide()`, `KSPGetPCSide()`, `PC_LEFT`, `PC_RIGHT`, `PCSide`
5648: @*/
5649: PetscErrorCode SNESGetNPCSide(SNES snes, PCSide *side)
5650: {
5651:   PetscFunctionBegin;
5653:   PetscAssertPointer(side, 2);
5654:   *side = snes->npcside;
5655:   PetscFunctionReturn(PETSC_SUCCESS);
5656: }

5658: /*@
5659:   SNESSetLineSearch - Sets the linesearch to be used for `SNES`

5661:   Collective

5663:   Input Parameters:
5664: + snes       - iterative context obtained from `SNESCreate()`
5665: - linesearch - the linesearch object

5667:   Level: developer

5669:   Note:
5670:   This is almost never used, rather one uses `SNESGetLineSearch()` to retrieve the line search and set options on it
5671:   to configure it using the API).

5673: .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESGetLineSearch()`
5674: @*/
5675: PetscErrorCode SNESSetLineSearch(SNES snes, SNESLineSearch linesearch)
5676: {
5677:   PetscFunctionBegin;
5680:   PetscCheckSameComm(snes, 1, linesearch, 2);
5681:   PetscCall(PetscObjectReference((PetscObject)linesearch));
5682:   PetscCall(SNESLineSearchDestroy(&snes->linesearch));

5684:   snes->linesearch = linesearch;

5686:   PetscFunctionReturn(PETSC_SUCCESS);
5687: }

5689: /*@
5690:   SNESGetLineSearch - Returns the line search context possibly set with `SNESSetLineSearch()`
5691:   or creates a default line search instance associated with the `SNES` and returns it.

5693:   Not Collective

5695:   Input Parameter:
5696: . snes - iterative context obtained from `SNESCreate()`

5698:   Output Parameter:
5699: . linesearch - linesearch context

5701:   Level: beginner

5703: .seealso: [](ch_snes), `SNESLineSearch`, `SNESSetLineSearch()`, `SNESLineSearchCreate()`
5704: @*/
5705: PetscErrorCode SNESGetLineSearch(SNES snes, SNESLineSearch *linesearch)
5706: {
5707:   const char *optionsprefix;

5709:   PetscFunctionBegin;
5711:   PetscAssertPointer(linesearch, 2);
5712:   if (!snes->linesearch) {
5713:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
5714:     PetscCall(SNESLineSearchCreate(PetscObjectComm((PetscObject)snes), &snes->linesearch));
5715:     PetscCall(SNESLineSearchSetSNES(snes->linesearch, snes));
5716:     PetscCall(SNESLineSearchAppendOptionsPrefix(snes->linesearch, optionsprefix));
5717:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)snes->linesearch, (PetscObject)snes, 1));
5718:   }
5719:   *linesearch = snes->linesearch;
5720:   PetscFunctionReturn(PETSC_SUCCESS);
5721: }