xref: /petsc/include/petscsnes.h (revision a4e01a8b1ea6aa127f3e22aee39c726cf71ba8b6)
1 /*
2     User interface for the nonlinear solvers package.
3 */
4 #pragma once
5 
6 #include <petscksp.h>
7 #include <petscdmtypes.h>
8 #include <petscfvtypes.h>
9 #include <petscdmdatypes.h>
10 #include <petscsnestypes.h>
11 
12 /* SUBMANSEC = SNES */
13 
14 /*J
15    SNESType - String with the name of a PETSc `SNES` method. These are all the nonlinear solvers that PETSc provides.
16 
17    Level: beginner
18 
19    Note:
20    Use `SNESSetType()` or the options database key `-snes_type` to set the specific nonlinear solver algorithm to use with a given `SNES` object
21 
22 .seealso: [](doc_nonlinsolve), [](ch_snes), `SNESSetType()`, `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFromOptions()`
23 J*/
24 typedef const char *SNESType;
25 #define SNESNEWTONLS         "newtonls"
26 #define SNESNEWTONTR         "newtontr"
27 #define SNESNEWTONTRDC       "newtontrdc"
28 #define SNESPYTHON           "python"
29 #define SNESNRICHARDSON      "nrichardson"
30 #define SNESKSPONLY          "ksponly"
31 #define SNESKSPTRANSPOSEONLY "ksptransposeonly"
32 #define SNESVINEWTONRSLS     "vinewtonrsls"
33 #define SNESVINEWTONSSLS     "vinewtonssls"
34 #define SNESNGMRES           "ngmres"
35 #define SNESQN               "qn"
36 #define SNESSHELL            "shell"
37 #define SNESNGS              "ngs"
38 #define SNESNCG              "ncg"
39 #define SNESFAS              "fas"
40 #define SNESMS               "ms"
41 #define SNESNASM             "nasm"
42 #define SNESANDERSON         "anderson"
43 #define SNESASPIN            "aspin"
44 #define SNESCOMPOSITE        "composite"
45 #define SNESPATCH            "patch"
46 #define SNESNEWTONAL         "newtonal"
47 
48 /* Logging support */
49 PETSC_EXTERN PetscClassId SNES_CLASSID;
50 PETSC_EXTERN PetscClassId DMSNES_CLASSID;
51 
52 PETSC_EXTERN PetscErrorCode SNESInitializePackage(void);
53 PETSC_EXTERN PetscErrorCode SNESFinalizePackage(void);
54 
55 PETSC_EXTERN PetscErrorCode SNESCreate(MPI_Comm, SNES *);
56 PETSC_EXTERN PetscErrorCode SNESParametersInitialize(SNES);
57 PETSC_EXTERN PetscErrorCode SNESReset(SNES);
58 PETSC_EXTERN PetscErrorCode SNESDestroy(SNES *);
59 PETSC_EXTERN PetscErrorCode SNESSetType(SNES, SNESType);
60 PETSC_EXTERN PetscErrorCode SNESMonitor(SNES, PetscInt, PetscReal);
61 PETSC_EXTERN PetscErrorCode SNESMonitorSet(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, void *), void *, PetscCtxDestroyFn *);
62 PETSC_EXTERN PetscErrorCode SNESMonitorSetFromOptions(SNES, const char[], const char[], const char[], PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscViewerAndFormat *), PetscErrorCode (*)(SNES, PetscViewerAndFormat *));
63 PETSC_EXTERN PetscErrorCode SNESMonitorCancel(SNES);
64 PETSC_EXTERN PetscErrorCode SNESMonitorSAWs(SNES, PetscInt, PetscReal, void *);
65 PETSC_EXTERN PetscErrorCode SNESMonitorSAWsCreate(SNES, void **);
66 PETSC_EXTERN PetscErrorCode SNESMonitorSAWsDestroy(void **);
67 PETSC_EXTERN PetscErrorCode SNESSetConvergenceHistory(SNES, PetscReal[], PetscInt[], PetscInt, PetscBool);
68 PETSC_EXTERN PetscErrorCode SNESGetConvergenceHistory(SNES, PetscReal *[], PetscInt *[], PetscInt *);
69 PETSC_EXTERN PetscErrorCode SNESSetUp(SNES);
70 PETSC_EXTERN PetscErrorCode SNESSolve(SNES, Vec, Vec);
71 PETSC_EXTERN PetscErrorCode SNESSetErrorIfNotConverged(SNES, PetscBool);
72 PETSC_EXTERN PetscErrorCode SNESGetErrorIfNotConverged(SNES, PetscBool *);
73 PETSC_EXTERN PetscErrorCode SNESConverged(SNES, PetscInt, PetscReal, PetscReal, PetscReal);
74 
75 PETSC_EXTERN PetscErrorCode SNESSetWorkVecs(SNES, PetscInt);
76 
77 PETSC_EXTERN PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*)(SNES));
78 
79 PETSC_EXTERN PetscErrorCode SNESRegister(const char[], PetscErrorCode (*)(SNES));
80 
81 PETSC_EXTERN PetscErrorCode SNESGetKSP(SNES, KSP *);
82 PETSC_EXTERN PetscErrorCode SNESSetKSP(SNES, KSP);
83 PETSC_EXTERN PetscErrorCode SNESSetSolution(SNES, Vec);
84 PETSC_EXTERN PetscErrorCode SNESGetSolution(SNES, Vec *);
85 PETSC_EXTERN PetscErrorCode SNESGetSolutionUpdate(SNES, Vec *);
86 PETSC_EXTERN PetscErrorCode SNESGetRhs(SNES, Vec *);
87 PETSC_EXTERN PetscErrorCode SNESView(SNES, PetscViewer);
88 PETSC_EXTERN PetscErrorCode SNESLoad(SNES, PetscViewer);
89 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewSet(SNES, PetscErrorCode (*)(SNES, void *), void *, PetscCtxDestroyFn *);
90 PETSC_EXTERN PetscErrorCode SNESViewFromOptions(SNES, PetscObject, const char[]);
91 PETSC_EXTERN PetscErrorCode SNESConvergedReasonView(SNES, PetscViewer);
92 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewFromOptions(SNES);
93 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewCancel(SNES);
94 
95 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonView()", ) static inline PetscErrorCode SNESReasonView(SNES snes, PetscViewer v)
96 {
97   return SNESConvergedReasonView(snes, v);
98 }
99 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonViewFromOptions()", ) static inline PetscErrorCode SNESReasonViewFromOptions(SNES snes)
100 {
101   return SNESConvergedReasonViewFromOptions(snes);
102 }
103 
104 #define SNES_FILE_CLASSID 1211224
105 
106 PETSC_EXTERN PetscErrorCode SNESSetOptionsPrefix(SNES, const char[]);
107 PETSC_EXTERN PetscErrorCode SNESAppendOptionsPrefix(SNES, const char[]);
108 PETSC_EXTERN PetscErrorCode SNESGetOptionsPrefix(SNES, const char *[]);
109 PETSC_EXTERN PetscErrorCode SNESSetFromOptions(SNES);
110 PETSC_EXTERN PetscErrorCode SNESResetFromOptions(SNES);
111 
112 PETSC_EXTERN PetscErrorCode SNESSetUseMatrixFree(SNES, PetscBool, PetscBool);
113 PETSC_EXTERN PetscErrorCode SNESGetUseMatrixFree(SNES, PetscBool *, PetscBool *);
114 PETSC_EXTERN PetscErrorCode MatCreateSNESMF(SNES, Mat *);
115 PETSC_EXTERN PetscErrorCode MatSNESMFGetSNES(Mat, SNES *);
116 PETSC_EXTERN PetscErrorCode MatSNESMFSetReuseBase(Mat, PetscBool);
117 PETSC_EXTERN PetscErrorCode MatSNESMFGetReuseBase(Mat, PetscBool *);
118 PETSC_EXTERN PetscErrorCode MatMFFDComputeJacobian(SNES, Vec, Mat, Mat, void *);
119 PETSC_EXTERN PetscErrorCode MatCreateSNESMFMore(SNES, Vec, Mat *);
120 PETSC_EXTERN PetscErrorCode MatSNESMFMoreSetParameters(Mat, PetscReal, PetscReal, PetscReal);
121 
122 PETSC_EXTERN PetscErrorCode SNESGetType(SNES, SNESType *);
123 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultSetUp(SNES, PetscViewerAndFormat *);
124 PETSC_EXTERN PetscErrorCode SNESMonitorDefault(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
125 PETSC_EXTERN PetscErrorCode SNESMonitorScaling(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
126 PETSC_EXTERN PetscErrorCode SNESMonitorRange(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
127 PETSC_EXTERN PetscErrorCode SNESMonitorRatio(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
128 PETSC_EXTERN PetscErrorCode SNESMonitorRatioSetUp(SNES, PetscViewerAndFormat *);
129 PETSC_EXTERN PetscErrorCode SNESMonitorSolution(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
130 PETSC_EXTERN PetscErrorCode SNESMonitorResidual(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
131 PETSC_EXTERN PetscErrorCode SNESMonitorSolutionUpdate(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
132 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultShort(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
133 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultField(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
134 PETSC_EXTERN PetscErrorCode SNESMonitorJacUpdateSpectrum(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
135 PETSC_EXTERN PetscErrorCode SNESMonitorFields(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
136 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidual(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
137 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLG(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
138 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLGCreate(PetscViewer, PetscViewerFormat, void *, PetscViewerAndFormat **);
139 
140 PETSC_EXTERN PetscErrorCode SNESSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt, PetscInt);
141 PETSC_EXTERN PetscErrorCode SNESSetDivergenceTolerance(SNES, PetscReal);
142 PETSC_EXTERN PetscErrorCode SNESGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *, PetscInt *);
143 PETSC_EXTERN PetscErrorCode SNESGetDivergenceTolerance(SNES, PetscReal *);
144 PETSC_EXTERN PetscErrorCode SNESGetForceIteration(SNES, PetscBool *);
145 PETSC_EXTERN PetscErrorCode SNESSetForceIteration(SNES, PetscBool);
146 PETSC_EXTERN PetscErrorCode SNESGetIterationNumber(SNES, PetscInt *);
147 PETSC_EXTERN PetscErrorCode SNESSetIterationNumber(SNES, PetscInt);
148 
149 /*E
150    SNESNewtonTRFallbackType - type of fallback in case the solution of the trust-region subproblem is outside of the radius
151 
152    Values:
153 +  `SNES_TR_FALLBACK_NEWTON` - use scaled Newton step
154 .  `SNES_TR_FALLBACK_CAUCHY` - use Cauchy direction
155 -  `SNES_TR_FALLBACK_DOGLEG` - use dogleg method
156 
157    Level: intermediate
158 
159 .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESNEWTONTRDC`
160 E*/
161 typedef enum {
162   SNES_TR_FALLBACK_NEWTON,
163   SNES_TR_FALLBACK_CAUCHY,
164   SNES_TR_FALLBACK_DOGLEG,
165 } SNESNewtonTRFallbackType;
166 
167 PETSC_EXTERN const char *const SNESNewtonTRFallbackTypes[];
168 
169 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
170 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
171 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
172 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
173 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetFallbackType(SNES, SNESNewtonTRFallbackType);
174 PETSC_EXTERN PetscErrorCode SNESNewtonTRPreCheck(SNES, Vec, Vec, PetscBool *);
175 PETSC_EXTERN PetscErrorCode SNESNewtonTRPostCheck(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *);
176 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetNormType(SNES, NormType);
177 
178 /*E
179     SNESNewtonTRQNType - type of quasi-Newton model to use
180 
181    Values:
182 +  `SNES_TR_QN_NONE` - do not use a quasi-Newton model
183 .  `SNES_TR_QN_SAME` - use the same quasi-Newton model for matrix and preconditioner
184 -  `SNES_TR_QN_DIFFERENT` - use different quasi-Newton models for matrix and preconditioner
185 
186    Level: intermediate
187 
188 .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`
189 E*/
190 typedef enum {
191   SNES_TR_QN_NONE,
192   SNES_TR_QN_SAME,
193   SNES_TR_QN_DIFFERENT,
194 } SNESNewtonTRQNType;
195 
196 PETSC_EXTERN const char *const SNESNewtonTRQNTypes[];
197 
198 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetQNType(SNES, SNESNewtonTRQNType);
199 
200 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 22, 0, "SNESNewtonTRSetTolerances()", ) PetscErrorCode SNESSetTrustRegionTolerance(SNES, PetscReal);
201 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetTolerances(SNES, PetscReal, PetscReal, PetscReal);
202 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *);
203 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetUpdateParameters(SNES, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
204 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetUpdateParameters(SNES, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
205 
206 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetRhoFlag(SNES, PetscBool *);
207 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
208 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
209 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
210 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
211 
212 PETSC_EXTERN PetscErrorCode SNESGetNonlinearStepFailures(SNES, PetscInt *);
213 PETSC_EXTERN PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES, PetscInt);
214 PETSC_EXTERN PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES, PetscInt *);
215 PETSC_EXTERN PetscErrorCode SNESGetNumberFunctionEvals(SNES, PetscInt *);
216 
217 PETSC_EXTERN PetscErrorCode SNESSetLagPreconditioner(SNES, PetscInt);
218 PETSC_EXTERN PetscErrorCode SNESGetLagPreconditioner(SNES, PetscInt *);
219 PETSC_EXTERN PetscErrorCode SNESSetLagJacobian(SNES, PetscInt);
220 PETSC_EXTERN PetscErrorCode SNESGetLagJacobian(SNES, PetscInt *);
221 PETSC_EXTERN PetscErrorCode SNESSetLagPreconditionerPersists(SNES, PetscBool);
222 PETSC_EXTERN PetscErrorCode SNESSetLagJacobianPersists(SNES, PetscBool);
223 PETSC_EXTERN PetscErrorCode SNESSetGridSequence(SNES, PetscInt);
224 PETSC_EXTERN PetscErrorCode SNESGetGridSequence(SNES, PetscInt *);
225 
226 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveIterations(SNES, PetscInt *);
227 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveFailures(SNES, PetscInt *);
228 PETSC_EXTERN PetscErrorCode SNESSetMaxLinearSolveFailures(SNES, PetscInt);
229 PETSC_EXTERN PetscErrorCode SNESGetMaxLinearSolveFailures(SNES, PetscInt *);
230 PETSC_EXTERN PetscErrorCode SNESSetCountersReset(SNES, PetscBool);
231 PETSC_EXTERN PetscErrorCode SNESResetCounters(SNES);
232 
233 PETSC_EXTERN PetscErrorCode SNESKSPSetUseEW(SNES, PetscBool);
234 PETSC_EXTERN PetscErrorCode SNESKSPGetUseEW(SNES, PetscBool *);
235 PETSC_EXTERN PetscErrorCode SNESKSPSetParametersEW(SNES, PetscInt, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
236 PETSC_EXTERN PetscErrorCode SNESKSPGetParametersEW(SNES, PetscInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
237 
238 PETSC_EXTERN PetscErrorCode SNESMonitorLGRange(SNES, PetscInt, PetscReal, void *);
239 
240 PETSC_EXTERN PetscErrorCode SNESSetApplicationContext(SNES, void *);
241 PETSC_EXTERN PetscErrorCode SNESGetApplicationContext(SNES, void *);
242 PETSC_EXTERN PetscErrorCode SNESSetComputeApplicationContext(SNES, PetscErrorCode (*)(SNES, void **), PetscCtxDestroyFn *);
243 
244 PETSC_EXTERN PetscErrorCode SNESPythonSetType(SNES, const char[]);
245 PETSC_EXTERN PetscErrorCode SNESPythonGetType(SNES, const char *[]);
246 
247 PETSC_EXTERN PetscErrorCode SNESSetFunctionDomainError(SNES);
248 PETSC_EXTERN PetscErrorCode SNESSetObjectiveDomainError(SNES);
249 PETSC_EXTERN PetscErrorCode SNESSetJacobianDomainError(SNES);
250 PETSC_EXTERN PetscErrorCode SNESSetCheckJacobianDomainError(SNES, PetscBool);
251 PETSC_EXTERN PetscErrorCode SNESGetCheckJacobianDomainError(SNES, PetscBool *);
252 
253 #define SNES_CONVERGED_TR_DELTA_DEPRECATED SNES_CONVERGED_TR_DELTA PETSC_DEPRECATED_ENUM(3, 12, 0, "SNES_DIVERGED_TR_DELTA", )
254 /*E
255     SNESConvergedReason - reason a `SNESSolve()` was determined to have converged or diverged
256 
257    Values:
258 +  `SNES_CONVERGED_FNORM_ABS`         - $ ||F|| \le abstol $
259 .  `SNES_CONVERGED_FNORM_RELATIVE`    - $ ||F|| <= rtol*||F(x_0))|| $ where $x_0 $ is the initial guess
260 .  `SNES_CONVERGED_SNORM_RELATIVE`    - The 2-norm of the last step $ \le stol * ||x|| $ where $ x $ is the current solution
261 .  `SNES_CONVERGED_USER`              - The user has indicated convergence for an arbitrary reason
262 .  `SNES_DIVERGED_FUNCTION_COUNT`     - The user provided function has been called more times than the maximum set in `SNESSetTolerances()`
263 .  `SNES_DIVERGED_DTOL`               - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
264 .  `SNES_DIVERGED_FUNCTION_NANORINF`  - the 2-norm of the current function evaluation is not-a-number (NaN) or infinity, (this
265                                         is usually caused by a division of 0 by 0) and the solver could not recover from this (by, for example, cutting the step size)
266 .  `SNES_DIVERGED_OBJECTIVE_NANORINF` - the object function evaluation is not-a-number (NaN) or infinity, (this
267                                         is usually caused by a division of 0 by 0) and the solver could not recover from this (by, for example, cutting the step size)
268 .  `SNES_DIVERGED_FUNCTION_DOMAIN`    - the function evaluation occurred outside the function's domain (function callback provided by
269                                         `SNESSetFunction()` called `SNESSetObjectiveDomainError()`) and the solver could not recover from this (by, for example, cutting the step size)
270 .  `SNES_DIVERGED_OBJECTIVE_DOMAIN`   - the object function evaluation occurred outside the function's domain (function callback provided by
271                                         `SNESSetObjective()` called `SNESSetObjectiveDomainError()`) and the solver could not recover from this (by, for example, cutting the step size)
272 .  `SNES_DIVERGED_JACOBIAN_DOMAIN`    - the Jacobian evaluation occurred outside the function's domain (function callback provided by
273                                         `SNESSetJacobian()` called `SNESSetJacobianDomainError()`)
274 .  `SNES_DIVERGED_MAX_IT`             - `SNESSolve()` has reached the maximum number of iterations requested
275 .  `SNES_DIVERGED_LINE_SEARCH`        - The line search has failed. This only occurs for `SNES` solvers that use a line search
276 .  `SNES_DIVERGED_LOCAL_MIN`          - the algorithm seems to have stagnated at a local minimum that is not zero.
277 -  `SNES_CONVERGED_ITERATING          - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
278 
279    Level: beginner
280 
281     Notes:
282    The two most common reasons for divergence are an incorrectly coded or computed Jacobian or failure or lack of convergence in the linear system
283    (in this case we recommend
284    testing with `-pc_type lu` to eliminate the linear solver as the cause of the problem).
285 
286    `SNES_DIVERGED_LOCAL_MIN` can only occur when using a `SNES` solver that uses a line search (`SNESLineSearch`).
287    The line search wants to $ \min Q(\alpha) = 1/2 || F(x + \alpha s) ||^2_2 $  this occurs
288    at $ Q'(\alpha) = s^T F'(x+\alpha s)^T F(x+\alpha s) = 0$. If $s$ is the Newton direction $ - F'(x)^(-1)F(x)$ then
289    $ Q'(\alpha) = -F(x)^T F'(x)^(-1)^T F'(x+\alpha s)F(x+\alpha s)$; when $\alpha = 0$
290    $Q'(0) = - ||F(x)||^2_2 $ which is always NEGATIVE if $F'(x)$ is invertible. This means the Newton
291    direction is a descent direction and the line search should succeed if $\alpha $ is small enough.
292 
293    If $F'(x)$ is NOT invertible AND $F'(x)^T F(x) = 0 $ then $Q'(0) = 0 $ and the Newton direction
294    is NOT a descent direction so the line search will fail. All one can do at this point
295    is change the initial guess and try again.
296 
297    An alternative explanation: Newton's method can be regarded as replacing the function with
298    its linear approximation and minimizing the 2-norm of that. That is $F(x+s) \approx F(x) + F'(x)s$
299    so we minimize $ || F(x) + F'(x) s ||^2_2$ using Least Squares. If $F'(x)$ is invertible then
300    $s = - F'(x)^(-1)F(x)$ otherwise $F'(x)^T F'(x) s = -F'(x)^T F(x)$. If $F'(x)^T F(x)$ is NOT zero then there
301    exists a nontrivial (that is $F'(x)s \ne 0$) solution to the equation and this direction is
302    $s = - [F'(x)^T F'(x)]^(-1) F'(x)^T F(x)$ so $Q'(0) = - F(x)^T F'(x) [F'(x)^T F'(x)]^(-T) F'(x)^T F(x)
303    = - (F'(x)^T F(x)) [F'(x)^T F'(x)]^(-T) (F'(x)^T F(x))$. Since we are assuming $(F'(x)^T F(x)) \ne 0$
304    and $F'(x)^T F'(x)$ has no negative eigenvalues $Q'(0) < 0$ so $s$ is a descent direction and the line
305    search should succeed for small enough $\alpha$.
306 
307    Note that this RARELY happens in practice. Far more likely the linear system is not being solved
308    (well enough?) or the Jacobian is wrong.
309 
310    `SNES_DIVERGED_MAX_IT` means that the solver reached the maximum number of iterations without satisfying any
311    convergence criteria. `SNES_CONVERGED_ITS` means that `SNESConvergedSkip()` was chosen as the convergence test;
312    thus the usual convergence criteria have not been checked and may or may not be satisfied.
313 
314 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`, `SNESSetTolerances()`
315 E*/
316 typedef enum {                       /* converged */
317   SNES_CONVERGED_FNORM_ABS      = 2, /* ||F|| < atol */
318   SNES_CONVERGED_FNORM_RELATIVE = 3, /* ||F|| < rtol*||F_initial|| */
319   SNES_CONVERGED_SNORM_RELATIVE = 4, /* Newton computed step size small; || delta x || < stol || x || */
320   SNES_CONVERGED_ITS            = 5, /* maximum iterations reached */
321   SNES_BREAKOUT_INNER_ITER      = 6, /* Flag to break out of inner loop after checking custom convergence, used in multi-phase flow when state changes */
322   SNES_CONVERGED_USER           = 7, /* The user has indicated convergence for an arbitrary reason */
323   /* diverged */
324   SNES_DIVERGED_FUNCTION_DOMAIN      = -1, /* the new x location passed the function is not in the domain of F */
325   SNES_DIVERGED_FUNCTION_COUNT       = -2,
326   SNES_DIVERGED_LINEAR_SOLVE         = -3, /* the linear solve failed */
327   SNES_DIVERGED_FUNCTION_NANORINF    = -4,
328   SNES_DIVERGED_MAX_IT               = -5,
329   SNES_DIVERGED_LINE_SEARCH          = -6,  /* the line search failed */
330   SNES_DIVERGED_INNER                = -7,  /* inner solve failed */
331   SNES_DIVERGED_LOCAL_MIN            = -8,  /* || J^T b || is small, implies converged to local minimum of F() */
332   SNES_DIVERGED_DTOL                 = -9,  /* || F || > divtol*||F_initial|| */
333   SNES_DIVERGED_JACOBIAN_DOMAIN      = -10, /* Jacobian calculation does not make sense */
334   SNES_DIVERGED_TR_DELTA             = -11,
335   SNES_CONVERGED_TR_DELTA_DEPRECATED = -11,
336   SNES_DIVERGED_USER                 = -12, /* The user has indicated divergence for an arbitrary reason */
337   SNES_DIVERGED_OBJECTIVE_DOMAIN     = -13,
338   SNES_DIVERGED_OBJECTIVE_NANORINF   = -14,
339 
340   SNES_CONVERGED_ITERATING = 0
341 } SNESConvergedReason;
342 PETSC_EXTERN const char *const *SNESConvergedReasons;
343 
344 /*MC
345    SNES_CONVERGED_FNORM_ABS - $||F|| \le abstol$
346 
347    Level: beginner
348 
349 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
350 M*/
351 
352 /*MC
353    SNES_CONVERGED_FNORM_RELATIVE - $||F|| \le rtol*||F(x_0)||$ where $x_0$ is the initial guess
354 
355    Level: beginner
356 
357 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
358 M*/
359 
360 /*MC
361   SNES_CONVERGED_SNORM_RELATIVE - The 2-norm of the last step $\le stol * ||x||$ where $x$ is the current
362   solution and $stol$ is the 4th argument to `SNESSetTolerances()`
363 
364   Options Database Key:
365   -snes_stol <stol> - the step tolerance
366 
367    Level: beginner
368 
369 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
370 M*/
371 
372 /*MC
373    SNES_DIVERGED_FUNCTION_COUNT - The user provided function has been called more times then the final
374    argument to `SNESSetTolerances()`
375 
376    Level: beginner
377 
378 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
379 M*/
380 
381 /*MC
382    SNES_DIVERGED_DTOL - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
383 
384    Level: beginner
385 
386 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESSetDivergenceTolerance()`
387 M*/
388 
389 /*MC
390    SNES_DIVERGED_FUNCTION_NANORINF - the 2-norm of the current function evaluation is not-a-number (NaN) or infinity, this
391    is usually caused by a division of 0 by 0, or infinity.  See `SNESSetFunctionDomainError()`
392 
393    Level: beginner
394 
395 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
396 M*/
397 
398 /*MC
399    SNES_DIVERGED_FUNCTION_DOMAIN - the function provided with `SNESSetFunction()` called `SNESSetFunctionDomainError()` and
400    the solver could not recoverer.
401 
402    Level: beginner
403 
404 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
405 M*/
406 
407 /*MC
408    SNES_DIVERGED_OBJECTIVE_DOMAIN - the function provided with `SNESSetObjective()` called `SNESSetObjectiveDomainError()` and
409    the solver could not recoverer.
410 
411    Level: beginner
412 
413 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
414 M*/
415 
416 /*MC
417    SNES_DIVERGED_JACOBIAN_DOMAIN - the function provided with `SNESSetJacobian()` called `SNESSetJacobianDomainError()`
418 
419    Level: beginner
420 
421 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
422 M*/
423 
424 /*MC
425    SNES_DIVERGED_MAX_IT - SNESSolve() has reached the maximum number of iterations requested
426 
427    Level: beginner
428 
429 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
430 M*/
431 
432 /*MC
433    SNES_DIVERGED_LINE_SEARCH - The line search has failed. This only occurs for a `SNES` solvers that use a line search
434 
435    Level: beginner
436 
437 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESLineSearch`
438 M*/
439 
440 /*MC
441    SNES_DIVERGED_LOCAL_MIN - the algorithm seems to have stagnated at a local minimum that is not zero.
442    See the manual page for `SNESConvergedReason` for more details
443 
444    Level: beginner
445 
446 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
447 M*/
448 
449 /*MC
450    SNES_CONERGED_ITERATING - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
451 
452    Level: beginner
453 
454 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
455 M*/
456 
457 PETSC_EXTERN PetscErrorCode SNESSetConvergenceTest(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *, PetscCtxDestroyFn *);
458 PETSC_EXTERN PetscErrorCode SNESConvergedDefault(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
459 PETSC_EXTERN PetscErrorCode SNESConvergedSkip(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
460 PETSC_EXTERN PetscErrorCode SNESConvergedCorrectPressure(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
461 PETSC_EXTERN PetscErrorCode SNESGetConvergedReason(SNES, SNESConvergedReason *);
462 PETSC_EXTERN PetscErrorCode SNESGetConvergedReasonString(SNES, const char **);
463 PETSC_EXTERN PetscErrorCode SNESSetConvergedReason(SNES, SNESConvergedReason);
464 
465 PETSC_DEPRECATED_FUNCTION(3, 5, 0, "SNESConvergedSkip()", ) static inline void SNESSkipConverged(void)
466 { /* never called */
467 }
468 #define SNESSkipConverged (SNESSkipConverged, SNESConvergedSkip)
469 
470 /*S
471   SNESInitialGuessFn - A prototype of a `SNES` compute initial guess function that would be passed to `SNESSetComputeInitialGuess()`
472 
473   Calling Sequence:
474 + snes  - `SNES` context
475 . u   - output vector to contain initial guess
476 - ctx - [optional] user-defined function context
477 
478   Level: beginner
479 
480 .seealso: [](ch_snes), `SNES`, `SNESSetComputeInitialGuess()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESFunctionFn`
481 S*/
482 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESInitialGuessFn(SNES snes, Vec u, void *ctx);
483 
484 /*S
485   SNESFunctionFn - A prototype of a `SNES` evaluation function that would be passed to `SNESSetFunction()`
486 
487   Calling Sequence:
488 + snes  - `SNES` context
489 . u   - input vector
490 . F   - function vector
491 - ctx - [optional] user-defined function context
492 
493   Level: beginner
494 
495 .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
496 S*/
497 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESFunctionFn(SNES snes, Vec u, Vec F, void *ctx);
498 
499 /*S
500   SNESObjectiveFn - A prototype of a `SNES` objective evaluation function that would be passed to `SNESSetObjective()`
501 
502   Calling Sequence:
503 + snes  - `SNES` context
504 . u   - input vector
505 . o   - output value
506 - ctx - [optional] user-defined function context
507 
508   Level: beginner
509 
510 .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
511 S*/
512 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESObjectiveFn(SNES snes, Vec u, PetscReal *o, void *ctx);
513 
514 /*S
515   SNESJacobianFn - A prototype of a `SNES` Jacobian evaluation function that would be passed to `SNESSetJacobian()`
516 
517   Calling Sequence:
518 + snes   - the `SNES` context obtained from `SNESCreate()`
519 . u    - input vector
520 . Amat - (approximate) Jacobian matrix
521 . Pmat - matrix used to construct the preconditioner, often the same as `Amat`
522 - ctx  - [optional] user-defined context for matrix evaluation routine
523 
524   Level: beginner
525 
526 .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESNGSFn`
527 S*/
528 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESJacobianFn(SNES snes, Vec u, Mat Amat, Mat Pmat, void *ctx);
529 
530 /*S
531   SNESNGSFn - A prototype of a `SNES` nonlinear Gauss-Seidel function that would be passed to `SNESSetNGS()`
532 
533   Calling Sequence:
534 + snes   - the `SNES` context obtained from `SNESCreate()`
535 . u    - the current solution, updated in place
536 . b    - the right-hand side vector (which may be `NULL`)
537 - ctx  - [optional] user-defined context for matrix evaluation routine
538 
539   Level: beginner
540 
541 .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`
542 S*/
543 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESNGSFn(SNES snes, Vec u, Vec b, void *ctx);
544 
545 /*S
546   SNESUpdateFn - A prototype of a `SNES` update function that would be passed to `SNESSetUpdate()`
547 
548   Calling Sequence:
549 + snes - `SNES` context
550 - step - the current iteration index
551 
552   Level: advanced
553 
554 .seealso: [](ch_snes), `SNES`, `SNESSetUpdate()`
555 S*/
556 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESUpdateFn(SNES snes, PetscInt step);
557 
558 /* --------- Solving systems of nonlinear equations --------------- */
559 PETSC_EXTERN PetscErrorCode SNESSetFunction(SNES, Vec, SNESFunctionFn *, void *);
560 PETSC_EXTERN PetscErrorCode SNESGetFunction(SNES, Vec *, SNESFunctionFn **, void **);
561 PETSC_EXTERN PetscErrorCode SNESComputeFunction(SNES, Vec, Vec);
562 PETSC_EXTERN PetscErrorCode SNESComputeMFFunction(SNES, Vec, Vec);
563 PETSC_EXTERN PetscErrorCode SNESSetInitialFunction(SNES, Vec);
564 
565 PETSC_EXTERN PetscErrorCode SNESSetJacobian(SNES, Mat, Mat, SNESJacobianFn *, void *);
566 PETSC_EXTERN PetscErrorCode SNESGetJacobian(SNES, Mat *, Mat *, SNESJacobianFn **, void **);
567 PETSC_EXTERN SNESFunctionFn SNESObjectiveComputeFunctionDefaultFD;
568 PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefault;
569 PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefaultColor;
570 PETSC_EXTERN PetscErrorCode SNESPruneJacobianColor(SNES, Mat, Mat);
571 PETSC_EXTERN PetscErrorCode SNESSetComputeInitialGuess(SNES, SNESInitialGuessFn *, void *);
572 PETSC_EXTERN PetscErrorCode SNESSetPicard(SNES, Vec, SNESFunctionFn *, Mat, Mat, SNESJacobianFn *, void *);
573 PETSC_EXTERN PetscErrorCode SNESGetPicard(SNES, Vec *, SNESFunctionFn **, Mat *, Mat *, SNESJacobianFn **, void **);
574 PETSC_EXTERN SNESFunctionFn SNESPicardComputeFunction;
575 PETSC_EXTERN SNESFunctionFn SNESPicardComputeMFFunction;
576 PETSC_EXTERN SNESJacobianFn SNESPicardComputeJacobian;
577 
578 PETSC_EXTERN PetscErrorCode SNESSetObjective(SNES, SNESObjectiveFn *, void *);
579 PETSC_EXTERN PetscErrorCode SNESGetObjective(SNES, SNESObjectiveFn **, void **);
580 PETSC_EXTERN PetscErrorCode SNESComputeObjective(SNES, Vec, PetscReal *);
581 
582 PETSC_EXTERN PetscErrorCode SNESSetUpdate(SNES, SNESUpdateFn *);
583 
584 /*E
585    SNESNormSchedule - Frequency with which the norm is computed during a nonliner solve
586 
587    Values:
588 +   `SNES_NORM_DEFAULT`            - use the default behavior for the current `SNESType`
589 .   `SNES_NORM_NONE`               - avoid all norm computations
590 .   `SNES_NORM_ALWAYS`             - compute the norms whenever possible
591 .   `SNES_NORM_INITIAL_ONLY`       - compute the norm only when the algorithm starts
592 .   `SNES_NORM_FINAL_ONLY`         - compute the norm only when the algorithm finishes
593 -   `SNES_NORM_INITIAL_FINAL_ONLY` - compute the norm at the start and end of the algorithm
594 
595    Level: advanced
596 
597    Notes:
598    Support for these is highly dependent on the solver.
599 
600    Some options limit the convergence tests that can be used.
601 
602    The `SNES_NORM_NONE` option is most commonly used when the nonlinear solver is being used as a smoother, for example for `SNESFAS`
603 
604    This is primarily used to turn off extra norm and function computation
605    when the solvers are composed.
606 
607 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
608           `KSPSetConvergenceTest()`, `KSPSetPCSide()`
609 E*/
610 typedef enum {
611   SNES_NORM_DEFAULT            = -1,
612   SNES_NORM_NONE               = 0,
613   SNES_NORM_ALWAYS             = 1,
614   SNES_NORM_INITIAL_ONLY       = 2,
615   SNES_NORM_FINAL_ONLY         = 3,
616   SNES_NORM_INITIAL_FINAL_ONLY = 4
617 } SNESNormSchedule;
618 PETSC_EXTERN const char *const *const SNESNormSchedules;
619 
620 /*MC
621    SNES_NORM_NONE - Don't compute function and its L2 norm when possible
622 
623    Level: advanced
624 
625    Note:
626    This is most useful for stationary solvers with a fixed number of iterations used as smoothers.
627 
628 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_DEFAULT`
629 M*/
630 
631 /*MC
632    SNES_NORM_ALWAYS - Compute the function and its L2 norm at each iteration.
633 
634    Level: advanced
635 
636    Note:
637    Most solvers will use this no matter what norm type is passed to them.
638 
639 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_NONE`
640 M*/
641 
642 /*MC
643    SNES_NORM_INITIAL_ONLY - Compute the function and its L2 at iteration 0, but do not update it.
644 
645    Level: advanced
646 
647    Notes:
648    This method is useful in composed methods, when a true solution might actually be found before `SNESSolve()` is called.
649    This option enables the solve to abort on the zeroth iteration if this is the case.
650 
651    For solvers that require the computation of the L2 norm of the function as part of the method, this merely cancels
652    the norm computation at the last iteration (if possible).
653 
654 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_FINAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
655 M*/
656 
657 /*MC
658    SNES_NORM_FINAL_ONLY - Compute the function and its L2 norm on only the final iteration.
659 
660    Level: advanced
661 
662    Note:
663    For solvers that require the computation of the L2 norm of the function as part of the method, behaves
664    exactly as `SNES_NORM_DEFAULT`.  This method is useful when the function is gotten after `SNESSolve()` and
665    used in subsequent computation for methods that do not need the norm computed during the rest of the
666    solution procedure.
667 
668 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_INITIAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
669 M*/
670 
671 /*MC
672    SNES_NORM_INITIAL_FINAL_ONLY - Compute the function and its L2 norm on only the initial and final iterations.
673 
674    Level: advanced
675 
676    Note:
677    This method combines the benefits of `SNES_NORM_INITIAL_ONLY` and `SNES_NORM_FINAL_ONLY`.
678 
679 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_SNES_NORM_INITIAL_ONLY`, `SNES_NORM_FINAL_ONLY`
680 M*/
681 
682 PETSC_EXTERN PetscErrorCode SNESSetNormSchedule(SNES, SNESNormSchedule);
683 PETSC_EXTERN PetscErrorCode SNESGetNormSchedule(SNES, SNESNormSchedule *);
684 PETSC_EXTERN PetscErrorCode SNESSetFunctionNorm(SNES, PetscReal);
685 PETSC_EXTERN PetscErrorCode SNESGetFunctionNorm(SNES, PetscReal *);
686 PETSC_EXTERN PetscErrorCode SNESGetUpdateNorm(SNES, PetscReal *);
687 PETSC_EXTERN PetscErrorCode SNESGetSolutionNorm(SNES, PetscReal *);
688 
689 /*E
690    SNESFunctionType - Type of function computed
691 
692    Values:
693 +  `SNES_FUNCTION_DEFAULT`          - the default behavior for the current `SNESType`
694 .  `SNES_FUNCTION_UNPRECONDITIONED` - the original function provided
695 -  `SNES_FUNCTION_PRECONDITIONED`   - the modification of the function by the preconditioner
696 
697    Level: advanced
698 
699    Note:
700    Support for these is dependent on the solver.
701 
702 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
703           `KSPSetConvergenceTest()`, `KSPSetPCSide()`
704 E*/
705 typedef enum {
706   SNES_FUNCTION_DEFAULT          = -1,
707   SNES_FUNCTION_UNPRECONDITIONED = 0,
708   SNES_FUNCTION_PRECONDITIONED   = 1
709 } SNESFunctionType;
710 PETSC_EXTERN const char *const *const SNESFunctionTypes;
711 
712 PETSC_EXTERN PetscErrorCode SNESSetFunctionType(SNES, SNESFunctionType);
713 PETSC_EXTERN PetscErrorCode SNESGetFunctionType(SNES, SNESFunctionType *);
714 
715 PETSC_EXTERN PetscErrorCode SNESSetNGS(SNES, SNESNGSFn *, void *);
716 PETSC_EXTERN PetscErrorCode SNESGetNGS(SNES, SNESNGSFn **, void **);
717 PETSC_EXTERN PetscErrorCode SNESComputeNGS(SNES, Vec, Vec);
718 
719 PETSC_EXTERN PetscErrorCode SNESNGSSetSweeps(SNES, PetscInt);
720 PETSC_EXTERN PetscErrorCode SNESNGSGetSweeps(SNES, PetscInt *);
721 PETSC_EXTERN PetscErrorCode SNESNGSSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt);
722 PETSC_EXTERN PetscErrorCode SNESNGSGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
723 
724 PETSC_EXTERN PetscErrorCode SNESSetAlwaysComputesFinalResidual(SNES, PetscBool);
725 PETSC_EXTERN PetscErrorCode SNESGetAlwaysComputesFinalResidual(SNES, PetscBool *);
726 
727 PETSC_EXTERN PetscErrorCode SNESShellGetContext(SNES, void *);
728 PETSC_EXTERN PetscErrorCode SNESShellSetContext(SNES, void *);
729 PETSC_EXTERN PetscErrorCode SNESShellSetSolve(SNES, PetscErrorCode (*)(SNES, Vec));
730 
731 /* --------- Routines specifically for line search methods --------------- */
732 
733 /*S
734    SNESLineSearch - Abstract PETSc object that manages line-search operations for nonlinear solvers
735 
736    Level: beginner
737 
738 .seealso: [](ch_snes), `SNESLineSearchType`, `SNESLineSearchCreate()`, `SNESLineSearchSetType()`, `SNES`
739 S*/
740 typedef struct _p_LineSearch *SNESLineSearch;
741 
742 /*J
743    SNESLineSearchType - String with the name of a PETSc line search method `SNESLineSearch`. Provides all the linesearches for the nonlinear solvers, `SNES`,
744                         in PETSc.
745 
746    Values:
747 +  `SNESLINESEARCHBASIC`     - (or equivalently `SNESLINESEARCHNONE`) Simple damping line search, defaults to using the full Newton step
748 .  `SNESLINESEARCHBT`        - Backtracking line search over the L2 norm of the function or an objective function
749 .  `SNESLINESEARCHSECANT`    - Secant line search over the L2 norm of the function or an objective function
750 .  `SNESLINESEARCHCP`        - Critical point secant line search assuming $F(x) = \nabla G(x)$ for some unknown $G(x)$
751 .  `SNESLINESEARCHNLEQERR`   - Affine-covariant error-oriented linesearch
752 -  `SNESLINESEARCHBISECTION` - bisection line search for a root in the directional derivative
753 -  `SNESLINESEARCHSHELL`     - User provided `SNESLineSearch` implementation
754 
755    Level: beginner
756 
757    Note:
758    Use `SNESLineSearchSetType()` or the options database key `-snes_linesearch_type` to set
759    the specific line search algorithm to use with a given `SNES` object. Not all `SNESType` can utilize a line search.
760 
761 .seealso: [](ch_snes), `SNESLineSearch`, `SNESLineSearchSetType()`, `SNES`
762 J*/
763 typedef const char *SNESLineSearchType;
764 #define SNESLINESEARCHBT        "bt"
765 #define SNESLINESEARCHNLEQERR   "nleqerr"
766 #define SNESLINESEARCHBASIC     "basic"
767 #define SNESLINESEARCHNONE      "none"
768 #define SNESLINESEARCHSECANT    "secant"
769 #define SNESLINESEARCHL2        PETSC_DEPRECATED_MACRO(3, 24, 0, "SNESLINESEARCHSECANT", ) "secant"
770 #define SNESLINESEARCHCP        "cp"
771 #define SNESLINESEARCHSHELL     "shell"
772 #define SNESLINESEARCHNCGLINEAR "ncglinear"
773 #define SNESLINESEARCHBISECTION "bisection"
774 
775 PETSC_EXTERN PetscFunctionList SNESList;
776 PETSC_EXTERN PetscClassId      SNESLINESEARCH_CLASSID;
777 PETSC_EXTERN PetscFunctionList SNESLineSearchList;
778 
779 #define SNES_LINESEARCH_ORDER_LINEAR    1
780 #define SNES_LINESEARCH_ORDER_QUADRATIC 2
781 #define SNES_LINESEARCH_ORDER_CUBIC     3
782 
783 /*S
784   SNESLineSearchVIProjectFn - A prototype of a `SNES` function that projects a vector onto the VI bounds, passed to `SNESLineSearchSetVIFunctions()`
785 
786   Calling Sequence:
787 + snes  - `SNES` context
788 - u     - the vector to project to the bounds
789 
790   Level: advanced
791 
792   Note:
793   The deprecated `SNESLineSearchVIProjectFunc` still works as a replacement for `SNESLineSearchVIProjectFn` *.
794 
795 .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
796 S*/
797 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode             SNESLineSearchVIProjectFn(SNES snes, Vec u);
798 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVIProjectFn *SNESLineSearchVIProjectFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchVIProjectFn*", );
799 
800 /*S
801   SNESLineSearchVIProjectFn - A prototype of a `SNES` function that computes the norm of the active set variables in a vector in a VI solve,
802   passed to `SNESLineSearchSetVIFunctions()`
803 
804   Calling Sequence:
805 + snes  - `SNES` context
806 . f     - the vector to compute the norm of
807 . u     - the current solution, entries that are on the VI bounds are ignored
808 - fnorm - the resulting norm
809 
810   Level: advanced
811 
812   Note:
813   The deprecated `SNESLineSearchVINormFunc` still works as a replacement for `SNESLineSearchVINormFn` *.
814 
815 .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
816 S*/
817 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode          SNESLineSearchVINormFn(SNES snes, Vec f, Vec u, PetscReal *fnorm);
818 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVINormFn *SNESLineSearchVINormFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchVINormFnn*", );
819 
820 /*S
821   SNESLineSearchVIDirDerivFn - A prototype of a `SNES` function that computes the directional derivative considering the VI bounds, passed to `SNESLineSearchSetVIFunctions()`
822 
823   Calling Sequence:
824 + snes  - `SNES` context
825 . f     - the function vector to compute the directional derivative with
826 . u     - the current solution, entries that are on the VI bounds are ignored
827 . y     - the direction to compute the directional derivative
828 - fty   - the resulting directional derivative
829 
830   Level: advanced
831 
832 .seealso: [](ch_snes), `SNES`, `SNESLineSearch`, `SNESLineSearchVIProjectFn`, `SNESLineSearchVIProjectFn`, `SNESLineSearchSetVIFunctions()`, `SNESLineSearchGetVIFunctions()`
833 S*/
834 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode SNESLineSearchVIDirDerivFn(SNES snes, Vec f, Vec u, Vec y, PetscScalar *fty);
835 
836 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode              SNESLineSearchApplyFn(SNESLineSearch);
837 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchApplyFn      *SNESLineSearchApplyFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchApplyFn*", );
838 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode              SNESLineSearchShellApplyFn(SNESLineSearch, void *);
839 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchShellApplyFn *SNESLineSearchUserFunc PETSC_DEPRECATED_TYPEDEF(3, 21, 0, "SNESLineSearchApplyFn*", );
840 
841 PETSC_EXTERN PetscErrorCode SNESLineSearchCreate(MPI_Comm, SNESLineSearch *);
842 PETSC_EXTERN PetscErrorCode SNESLineSearchReset(SNESLineSearch);
843 PETSC_EXTERN PetscErrorCode SNESLineSearchView(SNESLineSearch, PetscViewer);
844 PETSC_EXTERN PetscErrorCode SNESLineSearchDestroy(SNESLineSearch *);
845 PETSC_EXTERN PetscErrorCode SNESLineSearchGetType(SNESLineSearch, SNESLineSearchType *);
846 PETSC_EXTERN PetscErrorCode SNESLineSearchSetType(SNESLineSearch, SNESLineSearchType);
847 PETSC_EXTERN PetscErrorCode SNESLineSearchSetFromOptions(SNESLineSearch);
848 PETSC_EXTERN PetscErrorCode SNESLineSearchSetFunction(SNESLineSearch, PetscErrorCode (*)(SNES, Vec, Vec));
849 PETSC_EXTERN PetscErrorCode SNESLineSearchSetUp(SNESLineSearch);
850 PETSC_EXTERN PetscErrorCode SNESLineSearchApply(SNESLineSearch, Vec, Vec, PetscReal *, Vec);
851 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheck(SNESLineSearch, Vec, Vec, PetscBool *);
852 PETSC_EXTERN PetscErrorCode SNESLineSearchPostCheck(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *);
853 PETSC_EXTERN PetscErrorCode SNESLineSearchSetWorkVecs(SNESLineSearch, PetscInt);
854 
855 /* set the functions for precheck and postcheck */
856 
857 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPreCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void *ctx);
858 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPostCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
859 
860 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPreCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void **ctx);
861 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPostCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
862 
863 /* set the functions for VI-specific line search operations */
864 
865 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn *, SNESLineSearchVINormFn *, SNESLineSearchVIDirDerivFn *);
866 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn **, SNESLineSearchVINormFn **, SNESLineSearchVIDirDerivFn **);
867 
868 /* pointers to the associated SNES in order to be able to get the function evaluation out */
869 PETSC_EXTERN PetscErrorCode SNESLineSearchSetSNES(SNESLineSearch, SNES);
870 PETSC_EXTERN PetscErrorCode SNESLineSearchGetSNES(SNESLineSearch, SNES *);
871 
872 /* set and get the parameters and vectors */
873 PETSC_EXTERN PetscErrorCode SNESLineSearchGetTolerances(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
874 PETSC_EXTERN PetscErrorCode SNESLineSearchSetTolerances(SNESLineSearch, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscInt);
875 
876 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheckPicard(SNESLineSearch, Vec, Vec, PetscBool *, void *);
877 
878 PETSC_EXTERN PetscErrorCode SNESLineSearchGetLambda(SNESLineSearch, PetscReal *);
879 PETSC_EXTERN PetscErrorCode SNESLineSearchSetLambda(SNESLineSearch, PetscReal);
880 
881 PETSC_EXTERN PetscErrorCode SNESLineSearchGetDamping(SNESLineSearch, PetscReal *);
882 PETSC_EXTERN PetscErrorCode SNESLineSearchSetDamping(SNESLineSearch, PetscReal);
883 
884 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOrder(SNESLineSearch, PetscInt *);
885 PETSC_EXTERN PetscErrorCode SNESLineSearchSetOrder(SNESLineSearch, PetscInt);
886 
887 /*E
888     SNESLineSearchReason - indication if the line search has succeeded or failed and why
889 
890   Values:
891 +  `SNES_LINESEARCH_SUCCEEDED`              - the line search succeeded
892 .  `SNES_LINESEARCH_FAILED_NANORINF`        - a not a number of infinity appeared in the computions
893 .  `SNES_LINESEARCH_FAILED_FUNCTION_DOMAIN` - the function was evaluated outside of its domain, see `SNESSetFunctionDomainError()`
894 .  `SNES_LINESEARCH_FAILED_OBJECTIVE_DOMAIN`- the objective function was evaluated outside of its domain, see `SNESSetObjectiveDomainError()`
895 .  `SNES_LINESEARCH_FAILED_JACOBIAN_DOMAIN` - the Jacobian was evaluated outside of its domain, see `SNESSetJacobianDomainError()`
896 .  `SNES_LINESEARCH_FAILED_REDUCT`          - the linear search failed to get the requested decrease in its norm or objective
897 .  `SNES_LINESEARCH_FAILED_USER`            - used by `SNESLINESEARCHNLEQERR` to indicate the user changed the search direction inappropriately
898 -  `SNES_LINESEARCH_FAILED_FUNCTION`        - indicates the maximum number of function evaluations allowed has been surpassed, `SNESConvergedReason` is also
899                                               set to `SNES_DIVERGED_FUNCTION_COUNT`
900 
901    Level: intermediate
902 
903    Developer Note:
904    Some of these reasons overlap with values of `SNESConvergedReason`. It is possibly a better design to have `SNESConvergedReaon` alone used also for indicating line
905    search failures.
906 
907 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`,
908           `SNESSetFunctionDomainError()` and `SNESSetJacobianDomainError()`
909 E*/
910 typedef enum {
911   SNES_LINESEARCH_SUCCEEDED,
912   SNES_LINESEARCH_FAILED_NANORINF,
913   SNES_LINESEARCH_FAILED_FUNCTION_DOMAIN,
914   SNES_LINESEARCH_FAILED_OBJECTIVE_DOMAIN,
915   SNES_LINESEARCH_FAILED_JACOBIAN_DOMAIN,
916   SNES_LINESEARCH_FAILED_REDUCT, /* INSUFFICIENT REDUCTION */
917   SNES_LINESEARCH_FAILED_USER,
918   SNES_LINESEARCH_FAILED_FUNCTION
919 } SNESLineSearchReason;
920 
921 PETSC_EXTERN PetscErrorCode SNESLineSearchGetReason(SNESLineSearch, SNESLineSearchReason *);
922 PETSC_EXTERN PetscErrorCode SNESLineSearchSetReason(SNESLineSearch, SNESLineSearchReason);
923 
924 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVecs(SNESLineSearch, Vec *, Vec *, Vec *, Vec *, Vec *);
925 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVecs(SNESLineSearch, Vec, Vec, Vec, Vec, Vec);
926 
927 PETSC_EXTERN PetscErrorCode SNESLineSearchGetNorms(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *);
928 PETSC_EXTERN PetscErrorCode SNESLineSearchSetNorms(SNESLineSearch, PetscReal, PetscReal, PetscReal);
929 PETSC_EXTERN PetscErrorCode SNESLineSearchComputeNorms(SNESLineSearch);
930 PETSC_EXTERN PetscErrorCode SNESLineSearchSetComputeNorms(SNESLineSearch, PetscBool);
931 
932 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitor(SNESLineSearch);
933 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSet(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, void *), void *, PetscCtxDestroyFn *);
934 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSetFromOptions(SNESLineSearch, const char[], const char[], const char[], PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *), PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *));
935 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorCancel(SNESLineSearch);
936 PETSC_EXTERN PetscErrorCode SNESLineSearchSetDefaultMonitor(SNESLineSearch, PetscViewer);
937 PETSC_EXTERN PetscErrorCode SNESLineSearchGetDefaultMonitor(SNESLineSearch, PetscViewer *);
938 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSolutionUpdate(SNESLineSearch, PetscViewerAndFormat *);
939 
940 PETSC_EXTERN PetscErrorCode SNESLineSearchAppendOptionsPrefix(SNESLineSearch, const char[]);
941 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOptionsPrefix(SNESLineSearch, const char *[]);
942 
943 /* Shell interface functions */
944 PETSC_EXTERN PetscErrorCode SNESLineSearchShellSetApply(SNESLineSearch, SNESLineSearchShellApplyFn *, void *);
945 PETSC_EXTERN PetscErrorCode SNESLineSearchShellGetApply(SNESLineSearch, SNESLineSearchShellApplyFn **, void **);
946 
947 PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellSetApply()", ) static inline PetscErrorCode SNESLineSearchShellSetUserFunc(SNESLineSearch ls, SNESLineSearchShellApplyFn *f, void *ctx)
948 {
949   return SNESLineSearchShellSetApply(ls, f, ctx);
950 }
951 
952 PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellGetApply()", ) static inline PetscErrorCode SNESLineSearchShellGetUserFunc(SNESLineSearch ls, SNESLineSearchShellApplyFn **f, void **ctx)
953 {
954   return SNESLineSearchShellGetApply(ls, f, ctx);
955 }
956 
957 /* BT interface functions */
958 PETSC_EXTERN PetscErrorCode SNESLineSearchBTSetAlpha(SNESLineSearch, PetscReal);
959 PETSC_EXTERN PetscErrorCode SNESLineSearchBTGetAlpha(SNESLineSearch, PetscReal *);
960 
961 /*register line search types */
962 PETSC_EXTERN PetscErrorCode SNESLineSearchRegister(const char[], PetscErrorCode (*)(SNESLineSearch));
963 
964 /* Routines for VI solver */
965 PETSC_EXTERN PetscErrorCode SNESVISetVariableBounds(SNES, Vec, Vec);
966 PETSC_EXTERN PetscErrorCode SNESVIGetVariableBounds(SNES, Vec *, Vec *);
967 PETSC_EXTERN PetscErrorCode SNESVISetComputeVariableBounds(SNES, PetscErrorCode (*)(SNES, Vec, Vec));
968 PETSC_EXTERN PetscErrorCode SNESVIGetInactiveSet(SNES, IS *);
969 PETSC_EXTERN PetscErrorCode SNESVIGetActiveSetIS(SNES, Vec, Vec, IS *);
970 PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFnorm(SNES, Vec, Vec, PetscReal *);
971 PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFtY(SNES, Vec, Vec, Vec, PetscScalar *);
972 PETSC_EXTERN PetscErrorCode SNESVISetRedundancyCheck(SNES, PetscErrorCode (*)(SNES, IS, IS *, void *), void *);
973 PETSC_EXTERN PetscErrorCode SNESVIComputeMeritFunction(Vec, PetscReal *, PetscReal *);
974 PETSC_EXTERN PetscErrorCode SNESVIComputeFunction(SNES, Vec, Vec, void *);
975 PETSC_EXTERN PetscErrorCode DMSetVI(DM, IS);
976 PETSC_EXTERN PetscErrorCode DMDestroyVI(DM);
977 
978 PETSC_EXTERN PetscErrorCode SNESTestLocalMin(SNES);
979 
980 /* Should this routine be private? */
981 PETSC_EXTERN PetscErrorCode SNESComputeJacobian(SNES, Vec, Mat, Mat);
982 PETSC_EXTERN PetscErrorCode SNESTestJacobian(SNES, PetscReal *, PetscReal *);
983 PETSC_EXTERN PetscErrorCode SNESTestFunction(SNES);
984 
985 PETSC_EXTERN PetscErrorCode SNESSetDM(SNES, DM);
986 PETSC_EXTERN PetscErrorCode SNESGetDM(SNES, DM *);
987 PETSC_EXTERN PetscErrorCode SNESSetNPC(SNES, SNES);
988 PETSC_EXTERN PetscErrorCode SNESGetNPC(SNES, SNES *);
989 PETSC_EXTERN PetscErrorCode SNESHasNPC(SNES, PetscBool *);
990 PETSC_EXTERN PetscErrorCode SNESApplyNPC(SNES, Vec, Vec, Vec);
991 PETSC_EXTERN PetscErrorCode SNESGetNPCFunction(SNES, Vec, PetscReal *);
992 PETSC_EXTERN PetscErrorCode SNESComputeFunctionDefaultNPC(SNES, Vec, Vec);
993 PETSC_EXTERN PetscErrorCode SNESSetNPCSide(SNES, PCSide);
994 PETSC_EXTERN PetscErrorCode SNESGetNPCSide(SNES, PCSide *);
995 PETSC_EXTERN PetscErrorCode SNESSetLineSearch(SNES, SNESLineSearch);
996 PETSC_EXTERN PetscErrorCode SNESGetLineSearch(SNES, SNESLineSearch *);
997 
998 PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESGetLineSearch()", ) static inline PetscErrorCode SNESGetSNESLineSearch(SNES snes, SNESLineSearch *ls)
999 {
1000   return SNESGetLineSearch(snes, ls);
1001 }
1002 PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESSetLineSearch()", ) static inline PetscErrorCode SNESSetSNESLineSearch(SNES snes, SNESLineSearch ls)
1003 {
1004   return SNESSetLineSearch(snes, ls);
1005 }
1006 
1007 PETSC_EXTERN PetscErrorCode SNESSetUpMatrices(SNES);
1008 PETSC_EXTERN PetscErrorCode DMSNESSetFunction(DM, SNESFunctionFn *, void *);
1009 PETSC_EXTERN PetscErrorCode DMSNESGetFunction(DM, SNESFunctionFn **, void **);
1010 PETSC_EXTERN PetscErrorCode DMSNESSetFunctionContextDestroy(DM, PetscCtxDestroyFn *);
1011 PETSC_EXTERN PetscErrorCode DMSNESSetMFFunction(DM, SNESFunctionFn *, void *);
1012 PETSC_EXTERN PetscErrorCode DMSNESSetNGS(DM, SNESNGSFn *, void *);
1013 PETSC_EXTERN PetscErrorCode DMSNESGetNGS(DM, SNESNGSFn **, void **);
1014 PETSC_EXTERN PetscErrorCode DMSNESSetJacobian(DM, SNESJacobianFn *, void *);
1015 PETSC_EXTERN PetscErrorCode DMSNESGetJacobian(DM, SNESJacobianFn **, void **);
1016 PETSC_EXTERN PetscErrorCode DMSNESSetJacobianContextDestroy(DM, PetscCtxDestroyFn *);
1017 PETSC_EXTERN PetscErrorCode DMSNESSetPicard(DM, SNESFunctionFn *, SNESJacobianFn *, void *);
1018 PETSC_EXTERN PetscErrorCode DMSNESGetPicard(DM, SNESFunctionFn **, SNESJacobianFn **, void **);
1019 PETSC_EXTERN PetscErrorCode DMSNESSetObjective(DM, SNESObjectiveFn *, void *);
1020 PETSC_EXTERN PetscErrorCode DMSNESGetObjective(DM, SNESObjectiveFn **, void **);
1021 PETSC_EXTERN PetscErrorCode DMCopyDMSNES(DM, DM);
1022 
1023 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESFunctionFn(DMDALocalInfo *, void *, void *, void *);
1024 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESJacobianFn(DMDALocalInfo *, void *, Mat, Mat, void *);
1025 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESObjectiveFn(DMDALocalInfo *, void *, PetscReal *, void *);
1026 
1027 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESFunctionVecFn(DMDALocalInfo *, Vec, Vec, void *);
1028 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESJacobianVecFn(DMDALocalInfo *, Vec, Mat, Mat, void *);
1029 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode DMDASNESObjectiveVecFn(DMDALocalInfo *, Vec, PetscReal *, void *);
1030 
1031 PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocal(DM, InsertMode, DMDASNESFunctionFn *, void *);
1032 PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocal(DM, DMDASNESJacobianFn *, void *);
1033 PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocal(DM, DMDASNESObjectiveFn *, void *);
1034 PETSC_EXTERN PetscErrorCode DMDASNESSetPicardLocal(DM, InsertMode, DMDASNESFunctionFn *, DMDASNESJacobianFn, void *);
1035 
1036 PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocalVec(DM, InsertMode, DMDASNESFunctionVecFn *, void *);
1037 PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocalVec(DM, DMDASNESJacobianVecFn *, void *);
1038 PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocalVec(DM, DMDASNESObjectiveVecFn *, void *);
1039 
1040 PETSC_EXTERN PetscErrorCode DMSNESSetBoundaryLocal(DM, PetscErrorCode (*)(DM, Vec, void *), void *);
1041 PETSC_EXTERN PetscErrorCode DMSNESSetObjectiveLocal(DM, PetscErrorCode (*)(DM, Vec, PetscReal *, void *), void *);
1042 PETSC_EXTERN PetscErrorCode DMSNESSetFunctionLocal(DM, PetscErrorCode (*)(DM, Vec, Vec, void *), void *);
1043 PETSC_EXTERN PetscErrorCode DMSNESSetJacobianLocal(DM, PetscErrorCode (*)(DM, Vec, Mat, Mat, void *), void *);
1044 PETSC_EXTERN PetscErrorCode DMSNESGetBoundaryLocal(DM, PetscErrorCode (**)(DM, Vec, void *), void **);
1045 PETSC_EXTERN PetscErrorCode DMSNESGetObjectiveLocal(DM, PetscErrorCode (**)(DM, Vec, PetscReal *, void *), void **);
1046 PETSC_EXTERN PetscErrorCode DMSNESGetFunctionLocal(DM, PetscErrorCode (**)(DM, Vec, Vec, void *), void **);
1047 PETSC_EXTERN PetscErrorCode DMSNESGetJacobianLocal(DM, PetscErrorCode (**)(DM, Vec, Mat, Mat, void *), void **);
1048 
1049 /* Routines for Multiblock solver */
1050 PETSC_EXTERN PetscErrorCode SNESMultiblockSetFields(SNES, const char[], PetscInt, const PetscInt *);
1051 PETSC_EXTERN PetscErrorCode SNESMultiblockSetIS(SNES, const char[], IS);
1052 PETSC_EXTERN PetscErrorCode SNESMultiblockSetBlockSize(SNES, PetscInt);
1053 PETSC_EXTERN PetscErrorCode SNESMultiblockSetType(SNES, PCCompositeType);
1054 PETSC_EXTERN PetscErrorCode SNESMultiblockGetSubSNES(SNES, PetscInt *, SNES *[]);
1055 
1056 /*J
1057    SNESMSType - String with the name of a PETSc `SNESMS` method.
1058 
1059    Level: intermediate
1060 
1061 .seealso: [](ch_snes), `SNESMS`, `SNESMSGetType()`, `SNESMSSetType()`, `SNES`
1062 J*/
1063 typedef const char *SNESMSType;
1064 #define SNESMSM62       "m62"
1065 #define SNESMSEULER     "euler"
1066 #define SNESMSJAMESON83 "jameson83"
1067 #define SNESMSVLTP11    "vltp11"
1068 #define SNESMSVLTP21    "vltp21"
1069 #define SNESMSVLTP31    "vltp31"
1070 #define SNESMSVLTP41    "vltp41"
1071 #define SNESMSVLTP51    "vltp51"
1072 #define SNESMSVLTP61    "vltp61"
1073 
1074 PETSC_EXTERN PetscErrorCode SNESMSRegister(SNESMSType, PetscInt, PetscInt, PetscReal, const PetscReal[], const PetscReal[], const PetscReal[]);
1075 PETSC_EXTERN PetscErrorCode SNESMSRegisterAll(void);
1076 PETSC_EXTERN PetscErrorCode SNESMSGetType(SNES, SNESMSType *);
1077 PETSC_EXTERN PetscErrorCode SNESMSSetType(SNES, SNESMSType);
1078 PETSC_EXTERN PetscErrorCode SNESMSGetDamping(SNES, PetscReal *);
1079 PETSC_EXTERN PetscErrorCode SNESMSSetDamping(SNES, PetscReal);
1080 PETSC_EXTERN PetscErrorCode SNESMSFinalizePackage(void);
1081 PETSC_EXTERN PetscErrorCode SNESMSInitializePackage(void);
1082 PETSC_EXTERN PetscErrorCode SNESMSRegisterDestroy(void);
1083 
1084 /*MC
1085    SNESNGMRESRestartType - the restart approach used by `SNESNGMRES`
1086 
1087   Values:
1088 +   `SNES_NGMRES_RESTART_NONE`       - never restart
1089 .   `SNES_NGMRES_RESTART_DIFFERENCE` - restart based upon difference criteria
1090 -   `SNES_NGMRES_RESTART_PERIODIC`   - restart after a fixed number of iterations
1091 
1092   Options Database Keys:
1093 + -snes_ngmres_restart_type <difference,periodic,none> - set the restart type
1094 - -snes_ngmres_restart <30>                            - sets the number of iterations before restart for periodic
1095 
1096    Level: intermediate
1097 
1098 .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1099           `SNESNGMRESGetRestartType()`, `SNESNGMRESSelectType`
1100 M*/
1101 typedef enum {
1102   SNES_NGMRES_RESTART_NONE       = 0,
1103   SNES_NGMRES_RESTART_PERIODIC   = 1,
1104   SNES_NGMRES_RESTART_DIFFERENCE = 2
1105 } SNESNGMRESRestartType;
1106 PETSC_EXTERN const char *const SNESNGMRESRestartTypes[];
1107 
1108 /*MC
1109    SNESNGMRESSelectType - the approach used by `SNESNGMRES` to determine how the candidate solution and
1110   combined solution are used to create the next iterate.
1111 
1112    Values:
1113 +   `SNES_NGMRES_SELECT_NONE`       - choose the combined solution all the time
1114 .   `SNES_NGMRES_SELECT_DIFFERENCE` - choose based upon the selection criteria
1115 -   `SNES_NGMRES_SELECT_LINESEARCH` - choose based upon line search combination
1116 
1117   Options Database Key:
1118 . -snes_ngmres_select_type<difference,none,linesearch> - select type
1119 
1120    Level: intermediate
1121 
1122 .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1123           `SNESNGMRESGetRestartType()`, `SNESNGMRESRestartType`
1124 M*/
1125 typedef enum {
1126   SNES_NGMRES_SELECT_NONE       = 0,
1127   SNES_NGMRES_SELECT_DIFFERENCE = 1,
1128   SNES_NGMRES_SELECT_LINESEARCH = 2
1129 } SNESNGMRESSelectType;
1130 PETSC_EXTERN const char *const SNESNGMRESSelectTypes[];
1131 
1132 PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartType(SNES, SNESNGMRESRestartType);
1133 PETSC_EXTERN PetscErrorCode SNESNGMRESSetSelectType(SNES, SNESNGMRESSelectType);
1134 PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartFmRise(SNES, PetscBool);
1135 PETSC_EXTERN PetscErrorCode SNESNGMRESGetRestartFmRise(SNES, PetscBool *);
1136 
1137 /*MC
1138    SNESNCGType - the conjugate update approach for `SNESNCG`
1139 
1140    Values:
1141 +   `SNES_NCG_FR`  - Fletcher-Reeves update
1142 .   `SNES_NCG_PRP` - Polak-Ribiere-Polyak update, the default and the only one that tolerates generalized search directions
1143 .   `SNES_NCG_HS`  - Hestenes-Steifel update
1144 .   `SNES_NCG_DY`  - Dai-Yuan update
1145 -   `SNES_NCG_CD`  - Conjugate Descent update
1146 
1147   Options Database Key:
1148 . -snes_ncg_type<fr,prp,hs,dy,cd> - select type
1149 
1150    Level: intermediate
1151 
1152 .seealso: `SNES, `SNESNCG`, `SNESNCGSetType()`
1153 M*/
1154 typedef enum {
1155   SNES_NCG_FR  = 0,
1156   SNES_NCG_PRP = 1,
1157   SNES_NCG_HS  = 2,
1158   SNES_NCG_DY  = 3,
1159   SNES_NCG_CD  = 4
1160 } SNESNCGType;
1161 PETSC_EXTERN const char *const SNESNCGTypes[];
1162 
1163 PETSC_EXTERN PetscErrorCode SNESNCGSetType(SNES, SNESNCGType);
1164 
1165 /*MC
1166    SNESQNScaleType - the scaling type used by `SNESQN`
1167 
1168    Values:
1169 +   `SNES_QN_SCALE_NONE`     - don't scale the problem
1170 .   `SNES_QN_SCALE_SCALAR`   - use Shanno scaling
1171 .   `SNES_QN_SCALE_DIAGONAL` - scale with a diagonalized BFGS formula (see Gilbert and Lemarechal 1989), available
1172 -   `SNES_QN_SCALE_JACOBIAN` - scale by solving a linear system coming from the Jacobian you provided with `SNESSetJacobian()`
1173                                computed at the first iteration of `SNESQN` and at ever restart.
1174 
1175     Options Database Key:
1176 . -snes_qn_scale_type <diagonal,none,scalar,jacobian> - Scaling type
1177 
1178    Level: intermediate
1179 
1180 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNRestartType`
1181 M*/
1182 typedef enum {
1183   SNES_QN_SCALE_DEFAULT  = 0,
1184   SNES_QN_SCALE_NONE     = 1,
1185   SNES_QN_SCALE_SCALAR   = 2,
1186   SNES_QN_SCALE_DIAGONAL = 3,
1187   SNES_QN_SCALE_JACOBIAN = 4
1188 } SNESQNScaleType;
1189 PETSC_EXTERN const char *const SNESQNScaleTypes[];
1190 
1191 /*MC
1192    SNESQNRestartType - the restart approached used by `SNESQN`
1193 
1194    Values:
1195 +   `SNES_QN_RESTART_NONE`     - never restart
1196 .   `SNES_QN_RESTART_POWELL`   - restart based upon descent criteria
1197 -   `SNES_QN_RESTART_PERIODIC` - restart after a fixed number of iterations
1198 
1199   Options Database Keys:
1200 + -snes_qn_restart_type <powell,periodic,none> - set the restart type
1201 - -snes_qn_m <m>                               - sets the number of stored updates and the restart period for periodic
1202 
1203    Level: intermediate
1204 
1205 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNScaleType`
1206 M*/
1207 typedef enum {
1208   SNES_QN_RESTART_DEFAULT  = 0,
1209   SNES_QN_RESTART_NONE     = 1,
1210   SNES_QN_RESTART_POWELL   = 2,
1211   SNES_QN_RESTART_PERIODIC = 3
1212 } SNESQNRestartType;
1213 PETSC_EXTERN const char *const SNESQNRestartTypes[];
1214 
1215 /*MC
1216    SNESQNType - the type used by `SNESQN`
1217 
1218   Values:
1219 +   `SNES_QN_LBFGS`      - LBFGS variant
1220 .   `SNES_QN_BROYDEN`    - Broyden variant
1221 -   `SNES_QN_BADBROYDEN` - Bad Broyden variant
1222 
1223   Options Database Key:
1224 . -snes_qn_type <lbfgs,broyden,badbroyden> - quasi-Newton type
1225 
1226    Level: intermediate
1227 
1228 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNSetType()`, `SNESQNScaleType`, `SNESQNRestartType`, `SNESQNSetRestartType()`
1229 M*/
1230 typedef enum {
1231   SNES_QN_LBFGS      = 0,
1232   SNES_QN_BROYDEN    = 1,
1233   SNES_QN_BADBROYDEN = 2
1234 } SNESQNType;
1235 PETSC_EXTERN const char *const SNESQNTypes[];
1236 
1237 PETSC_EXTERN PetscErrorCode SNESQNSetType(SNES, SNESQNType);
1238 PETSC_EXTERN PetscErrorCode SNESQNSetScaleType(SNES, SNESQNScaleType);
1239 PETSC_EXTERN PetscErrorCode SNESQNSetRestartType(SNES, SNESQNRestartType);
1240 
1241 PETSC_EXTERN PetscErrorCode SNESNASMGetType(SNES, PCASMType *);
1242 PETSC_EXTERN PetscErrorCode SNESNASMSetType(SNES, PCASMType);
1243 PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomains(SNES, PetscInt *, SNES *[], VecScatter *[], VecScatter *[], VecScatter *[]);
1244 PETSC_EXTERN PetscErrorCode SNESNASMSetSubdomains(SNES, PetscInt, SNES[], VecScatter[], VecScatter[], VecScatter[]);
1245 PETSC_EXTERN PetscErrorCode SNESNASMSetDamping(SNES, PetscReal);
1246 PETSC_EXTERN PetscErrorCode SNESNASMGetDamping(SNES, PetscReal *);
1247 PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomainVecs(SNES, PetscInt *, Vec *[], Vec *[], Vec *[], Vec *[]);
1248 PETSC_EXTERN PetscErrorCode SNESNASMSetComputeFinalJacobian(SNES, PetscBool);
1249 PETSC_EXTERN PetscErrorCode SNESNASMGetSNES(SNES, PetscInt, SNES *);
1250 PETSC_EXTERN PetscErrorCode SNESNASMGetNumber(SNES, PetscInt *);
1251 PETSC_EXTERN PetscErrorCode SNESNASMSetWeight(SNES, Vec);
1252 
1253 /*E
1254   SNESCompositeType - Determines how two or more preconditioners are composed with the `SNESType` of `SNESCOMPOSITE`
1255 
1256   Values:
1257 + `SNES_COMPOSITE_ADDITIVE`        - results from application of all preconditioners are added together
1258 . `SNES_COMPOSITE_MULTIPLICATIVE`  - preconditioners are applied sequentially to the residual freshly
1259                                      computed after the previous preconditioner application
1260 - `SNES_COMPOSITE_ADDITIVEOPTIMAL` - uses a linear combination of the solutions obtained with each preconditioner that approximately minimize the function
1261                                      value at the new iteration.
1262 
1263    Level: beginner
1264 
1265 .seealso: [](sec_pc), `PCCOMPOSITE`, `PCFIELDSPLIT`, `PC`, `PCCompositeSetType()`, `PCCompositeType`
1266 E*/
1267 typedef enum {
1268   SNES_COMPOSITE_ADDITIVE,
1269   SNES_COMPOSITE_MULTIPLICATIVE,
1270   SNES_COMPOSITE_ADDITIVEOPTIMAL
1271 } SNESCompositeType;
1272 PETSC_EXTERN const char *const SNESCompositeTypes[];
1273 
1274 PETSC_EXTERN PetscErrorCode SNESCompositeSetType(SNES, SNESCompositeType);
1275 PETSC_EXTERN PetscErrorCode SNESCompositeAddSNES(SNES, SNESType);
1276 PETSC_EXTERN PetscErrorCode SNESCompositeGetSNES(SNES, PetscInt, SNES *);
1277 PETSC_EXTERN PetscErrorCode SNESCompositeGetNumber(SNES, PetscInt *);
1278 PETSC_EXTERN PetscErrorCode SNESCompositeSetDamping(SNES, PetscInt, PetscReal);
1279 
1280 PETSC_EXTERN PetscErrorCode SNESPatchSetDiscretisationInfo(SNES, PetscInt, DM *, PetscInt *, PetscInt *, const PetscInt **, const PetscInt *, PetscInt, const PetscInt *, PetscInt, const PetscInt *);
1281 PETSC_EXTERN PetscErrorCode SNESPatchSetComputeOperator(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Mat, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1282 PETSC_EXTERN PetscErrorCode SNESPatchSetComputeFunction(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Vec, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1283 PETSC_EXTERN PetscErrorCode SNESPatchSetConstructType(SNES, PCPatchConstructType, PetscErrorCode (*func)(PC, PetscInt *, IS **, IS *, void *), void *);
1284 PETSC_EXTERN PetscErrorCode SNESPatchSetCellNumbering(SNES, PetscSection);
1285 
1286 /*E
1287     SNESFASType - Determines the type of nonlinear multigrid method that is run.
1288 
1289    Values:
1290 +  `SNES_FAS_MULTIPLICATIVE` (default) - traditional V or W cycle as determined by `SNESFASSetCycles()`
1291 .  `SNES_FAS_ADDITIVE`                 - additive FAS cycle
1292 .  `SNES_FAS_FULL`                     - full FAS cycle
1293 -  `SNES_FAS_KASKADE`                  - Kaskade FAS cycle
1294 
1295    Level: beginner
1296 
1297 .seealso: [](ch_snes), `SNESFAS`, `PCMGSetType()`, `PCMGType`
1298 E*/
1299 typedef enum {
1300   SNES_FAS_MULTIPLICATIVE,
1301   SNES_FAS_ADDITIVE,
1302   SNES_FAS_FULL,
1303   SNES_FAS_KASKADE
1304 } SNESFASType;
1305 PETSC_EXTERN const char *const SNESFASTypes[];
1306 
1307 /* called on the finest level FAS instance*/
1308 PETSC_EXTERN PetscErrorCode SNESFASSetType(SNES, SNESFASType);
1309 PETSC_EXTERN PetscErrorCode SNESFASGetType(SNES, SNESFASType *);
1310 PETSC_EXTERN PetscErrorCode SNESFASSetLevels(SNES, PetscInt, MPI_Comm *);
1311 PETSC_EXTERN PetscErrorCode SNESFASGetLevels(SNES, PetscInt *);
1312 PETSC_EXTERN PetscErrorCode SNESFASGetCycleSNES(SNES, PetscInt, SNES *);
1313 PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothUp(SNES, PetscInt);
1314 PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothDown(SNES, PetscInt);
1315 PETSC_EXTERN PetscErrorCode SNESFASSetCycles(SNES, PetscInt);
1316 PETSC_EXTERN PetscErrorCode SNESFASSetMonitor(SNES, PetscViewerAndFormat *, PetscBool);
1317 PETSC_EXTERN PetscErrorCode SNESFASSetLog(SNES, PetscBool);
1318 
1319 PETSC_EXTERN PetscErrorCode SNESFASSetGalerkin(SNES, PetscBool);
1320 PETSC_EXTERN PetscErrorCode SNESFASGetGalerkin(SNES, PetscBool *);
1321 PETSC_EXTERN PetscErrorCode SNESFASGalerkinFunctionDefault(SNES, Vec, Vec, void *);
1322 
1323 /* called on any level -- "Cycle" FAS instance */
1324 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmoother(SNES, SNES *);
1325 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherUp(SNES, SNES *);
1326 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherDown(SNES, SNES *);
1327 PETSC_EXTERN PetscErrorCode SNESFASCycleGetCorrection(SNES, SNES *);
1328 PETSC_EXTERN PetscErrorCode SNESFASCycleGetInterpolation(SNES, Mat *);
1329 PETSC_EXTERN PetscErrorCode SNESFASCycleGetRestriction(SNES, Mat *);
1330 PETSC_EXTERN PetscErrorCode SNESFASCycleGetInjection(SNES, Mat *);
1331 PETSC_EXTERN PetscErrorCode SNESFASCycleGetRScale(SNES, Vec *);
1332 PETSC_EXTERN PetscErrorCode SNESFASCycleSetCycles(SNES, PetscInt);
1333 PETSC_EXTERN PetscErrorCode SNESFASCycleIsFine(SNES, PetscBool *);
1334 
1335 /* called on the (outer) finest level FAS to set/get parameters on any level instance */
1336 PETSC_EXTERN PetscErrorCode SNESFASSetInterpolation(SNES, PetscInt, Mat);
1337 PETSC_EXTERN PetscErrorCode SNESFASGetInterpolation(SNES, PetscInt, Mat *);
1338 PETSC_EXTERN PetscErrorCode SNESFASSetRestriction(SNES, PetscInt, Mat);
1339 PETSC_EXTERN PetscErrorCode SNESFASGetRestriction(SNES, PetscInt, Mat *);
1340 PETSC_EXTERN PetscErrorCode SNESFASSetInjection(SNES, PetscInt, Mat);
1341 PETSC_EXTERN PetscErrorCode SNESFASGetInjection(SNES, PetscInt, Mat *);
1342 PETSC_EXTERN PetscErrorCode SNESFASSetRScale(SNES, PetscInt, Vec);
1343 PETSC_EXTERN PetscErrorCode SNESFASGetRScale(SNES, PetscInt, Vec *);
1344 PETSC_EXTERN PetscErrorCode SNESFASSetContinuation(SNES, PetscBool);
1345 
1346 PETSC_EXTERN PetscErrorCode SNESFASGetSmoother(SNES, PetscInt, SNES *);
1347 PETSC_EXTERN PetscErrorCode SNESFASGetSmootherUp(SNES, PetscInt, SNES *);
1348 PETSC_EXTERN PetscErrorCode SNESFASGetSmootherDown(SNES, PetscInt, SNES *);
1349 PETSC_EXTERN PetscErrorCode SNESFASGetCoarseSolve(SNES, SNES *);
1350 
1351 /* parameters for full FAS */
1352 PETSC_EXTERN PetscErrorCode SNESFASFullSetDownSweep(SNES, PetscBool);
1353 PETSC_EXTERN PetscErrorCode SNESFASCreateCoarseVec(SNES, Vec *);
1354 PETSC_EXTERN PetscErrorCode SNESFASRestrict(SNES, Vec, Vec);
1355 PETSC_EXTERN PetscErrorCode SNESFASFullSetTotal(SNES, PetscBool);
1356 PETSC_EXTERN PetscErrorCode SNESFASFullGetTotal(SNES, PetscBool *);
1357 
1358 PETSC_EXTERN PetscErrorCode DMPlexSetSNESVariableBounds(DM, SNES);
1359 PETSC_EXTERN PetscErrorCode DMSNESCheckDiscretization(SNES, DM, PetscReal, Vec, PetscReal, PetscReal[]);
1360 PETSC_EXTERN PetscErrorCode DMSNESCheckResidual(SNES, DM, Vec, PetscReal, PetscReal *);
1361 PETSC_EXTERN PetscErrorCode DMSNESCheckJacobian(SNES, DM, Vec, PetscReal, PetscBool *, PetscReal *);
1362 PETSC_EXTERN PetscErrorCode DMSNESCheckFromOptions(SNES, Vec);
1363 PETSC_EXTERN PetscErrorCode DMSNESComputeJacobianAction(DM, Vec, Vec, Vec, void *);
1364 PETSC_EXTERN PetscErrorCode DMSNESCreateJacobianMF(DM, Vec, void *, Mat *);
1365 
1366 PETSC_EXTERN PetscErrorCode SNESNewtonALSetFunction(SNES, SNESFunctionFn *, void *ctx);
1367 PETSC_EXTERN PetscErrorCode SNESNewtonALGetFunction(SNES, SNESFunctionFn **, void **ctx);
1368 PETSC_EXTERN PetscErrorCode SNESNewtonALComputeFunction(SNES, Vec, Vec);
1369 PETSC_EXTERN PetscErrorCode SNESNewtonALGetLoadParameter(SNES, PetscReal *);
1370 
1371 /*MC
1372    SNESNewtonALCorrectionType - the approach used by `SNESNEWTONAL` to determine
1373    the correction to the current increment. While the exact correction satisfies
1374    the constraint surface at every iteration, it also requires solving a quadratic
1375    equation which may not have real roots. Conversely, the normal correction is more
1376    efficient and always yields a real correction and is the default.
1377 
1378    Values:
1379 +   `SNES_NEWTONAL_CORRECTION_EXACT` - choose the correction which exactly satisfies the constraint
1380 -   `SNES_NEWTONAL_CORRECTION_NORMAL` - choose the correction in the updated normal hyper-surface to the constraint surface
1381 
1382    Options Database Key:
1383 . -snes_newtonal_correction_type <exact> - select type from <exact,normal>
1384 
1385    Level: intermediate
1386 
1387 .seealso: `SNES`, `SNESNEWTONAL`, `SNESNewtonALSetCorrectionType()`
1388 M*/
1389 typedef enum {
1390   SNES_NEWTONAL_CORRECTION_EXACT  = 0,
1391   SNES_NEWTONAL_CORRECTION_NORMAL = 1,
1392 } SNESNewtonALCorrectionType;
1393 PETSC_EXTERN const char *const SNESNewtonALCorrectionTypes[];
1394 
1395 PETSC_EXTERN PetscErrorCode SNESNewtonALSetCorrectionType(SNES, SNESNewtonALCorrectionType);
1396