xref: /petsc/include/petscsnes.h (revision e2555bbc75d0c01d136cf192e4489f98bb6991c3) !
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.
16 
17    Level: beginner
18 
19 .seealso: [](doc_nonlinsolve), [](ch_snes), `SNESSetType()`, `SNES`, `SNESCreate()`, `SNESDestroy()`, `SNESSetFromOptions()`
20 J*/
21 typedef const char *SNESType;
22 #define SNESNEWTONLS         "newtonls"
23 #define SNESNEWTONTR         "newtontr"
24 #define SNESNEWTONTRDC       "newtontrdc"
25 #define SNESPYTHON           "python"
26 #define SNESNRICHARDSON      "nrichardson"
27 #define SNESKSPONLY          "ksponly"
28 #define SNESKSPTRANSPOSEONLY "ksptransposeonly"
29 #define SNESVINEWTONRSLS     "vinewtonrsls"
30 #define SNESVINEWTONSSLS     "vinewtonssls"
31 #define SNESNGMRES           "ngmres"
32 #define SNESQN               "qn"
33 #define SNESSHELL            "shell"
34 #define SNESNGS              "ngs"
35 #define SNESNCG              "ncg"
36 #define SNESFAS              "fas"
37 #define SNESMS               "ms"
38 #define SNESNASM             "nasm"
39 #define SNESANDERSON         "anderson"
40 #define SNESASPIN            "aspin"
41 #define SNESCOMPOSITE        "composite"
42 #define SNESPATCH            "patch"
43 #define SNESNEWTONAL         "newtonal"
44 
45 /* Logging support */
46 PETSC_EXTERN PetscClassId SNES_CLASSID;
47 PETSC_EXTERN PetscClassId DMSNES_CLASSID;
48 
49 PETSC_EXTERN PetscErrorCode SNESInitializePackage(void);
50 PETSC_EXTERN PetscErrorCode SNESFinalizePackage(void);
51 
52 PETSC_EXTERN PetscErrorCode SNESCreate(MPI_Comm, SNES *);
53 PETSC_EXTERN PetscErrorCode SNESParametersInitialize(SNES);
54 PETSC_EXTERN PetscErrorCode SNESReset(SNES);
55 PETSC_EXTERN PetscErrorCode SNESDestroy(SNES *);
56 PETSC_EXTERN PetscErrorCode SNESSetType(SNES, SNESType);
57 PETSC_EXTERN PetscErrorCode SNESMonitor(SNES, PetscInt, PetscReal);
58 PETSC_EXTERN PetscErrorCode SNESMonitorSet(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, void *), void *, PetscErrorCode (*)(void **));
59 PETSC_EXTERN PetscErrorCode SNESMonitorSetFromOptions(SNES, const char[], const char[], const char[], PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscViewerAndFormat *), PetscErrorCode (*)(SNES, PetscViewerAndFormat *));
60 PETSC_EXTERN PetscErrorCode SNESMonitorCancel(SNES);
61 PETSC_EXTERN PetscErrorCode SNESMonitorSAWs(SNES, PetscInt, PetscReal, void *);
62 PETSC_EXTERN PetscErrorCode SNESMonitorSAWsCreate(SNES, void **);
63 PETSC_EXTERN PetscErrorCode SNESMonitorSAWsDestroy(void **);
64 PETSC_EXTERN PetscErrorCode SNESSetConvergenceHistory(SNES, PetscReal[], PetscInt[], PetscInt, PetscBool);
65 PETSC_EXTERN PetscErrorCode SNESGetConvergenceHistory(SNES, PetscReal *[], PetscInt *[], PetscInt *);
66 PETSC_EXTERN PetscErrorCode SNESSetUp(SNES);
67 PETSC_EXTERN PetscErrorCode SNESSolve(SNES, Vec, Vec);
68 PETSC_EXTERN PetscErrorCode SNESSetErrorIfNotConverged(SNES, PetscBool);
69 PETSC_EXTERN PetscErrorCode SNESGetErrorIfNotConverged(SNES, PetscBool *);
70 PETSC_EXTERN PetscErrorCode SNESConverged(SNES, PetscInt, PetscReal, PetscReal, PetscReal);
71 
72 PETSC_EXTERN PetscErrorCode SNESSetWorkVecs(SNES, PetscInt);
73 
74 PETSC_EXTERN PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*)(SNES));
75 
76 PETSC_EXTERN PetscErrorCode SNESRegister(const char[], PetscErrorCode (*)(SNES));
77 
78 PETSC_EXTERN PetscErrorCode SNESGetKSP(SNES, KSP *);
79 PETSC_EXTERN PetscErrorCode SNESSetKSP(SNES, KSP);
80 PETSC_EXTERN PetscErrorCode SNESSetSolution(SNES, Vec);
81 PETSC_EXTERN PetscErrorCode SNESGetSolution(SNES, Vec *);
82 PETSC_EXTERN PetscErrorCode SNESGetSolutionUpdate(SNES, Vec *);
83 PETSC_EXTERN PetscErrorCode SNESGetRhs(SNES, Vec *);
84 PETSC_EXTERN PetscErrorCode SNESView(SNES, PetscViewer);
85 PETSC_EXTERN PetscErrorCode SNESLoad(SNES, PetscViewer);
86 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewSet(SNES, PetscErrorCode (*)(SNES, void *), void *, PetscErrorCode (*)(void **));
87 PETSC_EXTERN PetscErrorCode SNESViewFromOptions(SNES, PetscObject, const char[]);
88 PETSC_EXTERN PetscErrorCode SNESConvergedReasonView(SNES, PetscViewer);
89 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewFromOptions(SNES);
90 PETSC_EXTERN PetscErrorCode SNESConvergedReasonViewCancel(SNES);
91 
92 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonView()", ) static inline PetscErrorCode SNESReasonView(SNES snes, PetscViewer v)
93 {
94   return SNESConvergedReasonView(snes, v);
95 }
96 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SNESConvergedReasonViewFromOptions()", ) static inline PetscErrorCode SNESReasonViewFromOptions(SNES snes)
97 {
98   return SNESConvergedReasonViewFromOptions(snes);
99 }
100 
101 #define SNES_FILE_CLASSID 1211224
102 
103 PETSC_EXTERN PetscErrorCode SNESSetOptionsPrefix(SNES, const char[]);
104 PETSC_EXTERN PetscErrorCode SNESAppendOptionsPrefix(SNES, const char[]);
105 PETSC_EXTERN PetscErrorCode SNESGetOptionsPrefix(SNES, const char *[]);
106 PETSC_EXTERN PetscErrorCode SNESSetFromOptions(SNES);
107 PETSC_EXTERN PetscErrorCode SNESResetFromOptions(SNES);
108 
109 PETSC_EXTERN PetscErrorCode SNESSetUseMatrixFree(SNES, PetscBool, PetscBool);
110 PETSC_EXTERN PetscErrorCode SNESGetUseMatrixFree(SNES, PetscBool *, PetscBool *);
111 PETSC_EXTERN PetscErrorCode MatCreateSNESMF(SNES, Mat *);
112 PETSC_EXTERN PetscErrorCode MatSNESMFGetSNES(Mat, SNES *);
113 PETSC_EXTERN PetscErrorCode MatSNESMFSetReuseBase(Mat, PetscBool);
114 PETSC_EXTERN PetscErrorCode MatSNESMFGetReuseBase(Mat, PetscBool *);
115 PETSC_EXTERN PetscErrorCode MatMFFDComputeJacobian(SNES, Vec, Mat, Mat, void *);
116 PETSC_EXTERN PetscErrorCode MatCreateSNESMFMore(SNES, Vec, Mat *);
117 PETSC_EXTERN PetscErrorCode MatSNESMFMoreSetParameters(Mat, PetscReal, PetscReal, PetscReal);
118 
119 PETSC_EXTERN PetscErrorCode SNESGetType(SNES, SNESType *);
120 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultSetUp(SNES, PetscViewerAndFormat *);
121 PETSC_EXTERN PetscErrorCode SNESMonitorDefault(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
122 PETSC_EXTERN PetscErrorCode SNESMonitorScaling(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
123 PETSC_EXTERN PetscErrorCode SNESMonitorRange(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
124 PETSC_EXTERN PetscErrorCode SNESMonitorRatio(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
125 PETSC_EXTERN PetscErrorCode SNESMonitorRatioSetUp(SNES, PetscViewerAndFormat *);
126 PETSC_EXTERN PetscErrorCode SNESMonitorSolution(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
127 PETSC_EXTERN PetscErrorCode SNESMonitorResidual(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
128 PETSC_EXTERN PetscErrorCode SNESMonitorSolutionUpdate(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
129 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultShort(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
130 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultField(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
131 PETSC_EXTERN PetscErrorCode SNESMonitorJacUpdateSpectrum(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
132 PETSC_EXTERN PetscErrorCode SNESMonitorFields(SNES, PetscInt, PetscReal, PetscViewerAndFormat *);
133 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidual(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
134 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLG(KSP, PetscInt, PetscReal, PetscViewerAndFormat *);
135 PETSC_EXTERN PetscErrorCode KSPMonitorSNESResidualDrawLGCreate(PetscViewer, PetscViewerFormat, void *, PetscViewerAndFormat **);
136 
137 PETSC_EXTERN PetscErrorCode SNESSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt, PetscInt);
138 PETSC_EXTERN PetscErrorCode SNESSetDivergenceTolerance(SNES, PetscReal);
139 PETSC_EXTERN PetscErrorCode SNESGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *, PetscInt *);
140 PETSC_EXTERN PetscErrorCode SNESGetDivergenceTolerance(SNES, PetscReal *);
141 PETSC_EXTERN PetscErrorCode SNESGetForceIteration(SNES, PetscBool *);
142 PETSC_EXTERN PetscErrorCode SNESSetForceIteration(SNES, PetscBool);
143 PETSC_EXTERN PetscErrorCode SNESGetIterationNumber(SNES, PetscInt *);
144 PETSC_EXTERN PetscErrorCode SNESSetIterationNumber(SNES, PetscInt);
145 
146 /*E
147    SNESNewtonTRFallbackType - type of fallback in case the solution of the trust-region subproblem is outside of the radius
148 
149    Values:
150 +  `SNES_TR_FALLBACK_NEWTON` - use scaled Newton step
151 .  `SNES_TR_FALLBACK_CAUCHY` - use Cauchy direction
152 -  `SNES_TR_FALLBACK_DOGLEG` - use dogleg method
153 
154    Level: intermediate
155 
156 .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`, `SNESNEWTONTRDC`
157 E*/
158 typedef enum {
159   SNES_TR_FALLBACK_NEWTON,
160   SNES_TR_FALLBACK_CAUCHY,
161   SNES_TR_FALLBACK_DOGLEG,
162 } SNESNewtonTRFallbackType;
163 
164 PETSC_EXTERN const char *const SNESNewtonTRFallbackTypes[];
165 
166 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
167 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
168 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
169 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
170 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetFallbackType(SNES, SNESNewtonTRFallbackType);
171 PETSC_EXTERN PetscErrorCode SNESNewtonTRPreCheck(SNES, Vec, Vec, PetscBool *);
172 PETSC_EXTERN PetscErrorCode SNESNewtonTRPostCheck(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *);
173 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetNormType(SNES, NormType);
174 
175 /*E
176     SNESNewtonTRQNType - type of quasi-Newton model to use
177 
178    Values:
179 +  `SNES_TR_QN_NONE` - do not use a quasi-Newton model
180 .  `SNES_TR_QN_SAME` - use the same quasi-Newton model for matrix and preconditioner
181 -  `SNES_TR_QN_DIFFERENT` - use different quasi-Newton models for matrix and preconditioner
182 
183    Level: intermediate
184 
185 .seealso: [](ch_snes), `SNES`, `SNESNEWTONTR`
186 E*/
187 typedef enum {
188   SNES_TR_QN_NONE,
189   SNES_TR_QN_SAME,
190   SNES_TR_QN_DIFFERENT,
191 } SNESNewtonTRQNType;
192 
193 PETSC_EXTERN const char *const SNESNewtonTRQNTypes[];
194 
195 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetQNType(SNES, SNESNewtonTRQNType);
196 
197 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 22, 0, "SNESNewtonTRSetTolerances()", ) PetscErrorCode SNESSetTrustRegionTolerance(SNES, PetscReal);
198 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetTolerances(SNES, PetscReal, PetscReal, PetscReal);
199 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *);
200 PETSC_EXTERN PetscErrorCode SNESNewtonTRSetUpdateParameters(SNES, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
201 PETSC_EXTERN PetscErrorCode SNESNewtonTRGetUpdateParameters(SNES, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
202 
203 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetRhoFlag(SNES, PetscBool *);
204 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPreCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, PetscBool *, void *), void *ctx);
205 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPreCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, PetscBool *, void *), void **ctx);
206 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCSetPostCheck(SNES, PetscErrorCode (*)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
207 PETSC_EXTERN PetscErrorCode SNESNewtonTRDCGetPostCheck(SNES, PetscErrorCode (**)(SNES, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
208 
209 PETSC_EXTERN PetscErrorCode SNESGetNonlinearStepFailures(SNES, PetscInt *);
210 PETSC_EXTERN PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES, PetscInt);
211 PETSC_EXTERN PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES, PetscInt *);
212 PETSC_EXTERN PetscErrorCode SNESGetNumberFunctionEvals(SNES, PetscInt *);
213 
214 PETSC_EXTERN PetscErrorCode SNESSetLagPreconditioner(SNES, PetscInt);
215 PETSC_EXTERN PetscErrorCode SNESGetLagPreconditioner(SNES, PetscInt *);
216 PETSC_EXTERN PetscErrorCode SNESSetLagJacobian(SNES, PetscInt);
217 PETSC_EXTERN PetscErrorCode SNESGetLagJacobian(SNES, PetscInt *);
218 PETSC_EXTERN PetscErrorCode SNESSetLagPreconditionerPersists(SNES, PetscBool);
219 PETSC_EXTERN PetscErrorCode SNESSetLagJacobianPersists(SNES, PetscBool);
220 PETSC_EXTERN PetscErrorCode SNESSetGridSequence(SNES, PetscInt);
221 PETSC_EXTERN PetscErrorCode SNESGetGridSequence(SNES, PetscInt *);
222 
223 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveIterations(SNES, PetscInt *);
224 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveFailures(SNES, PetscInt *);
225 PETSC_EXTERN PetscErrorCode SNESSetMaxLinearSolveFailures(SNES, PetscInt);
226 PETSC_EXTERN PetscErrorCode SNESGetMaxLinearSolveFailures(SNES, PetscInt *);
227 PETSC_EXTERN PetscErrorCode SNESSetCountersReset(SNES, PetscBool);
228 PETSC_EXTERN PetscErrorCode SNESResetCounters(SNES);
229 
230 PETSC_EXTERN PetscErrorCode SNESKSPSetUseEW(SNES, PetscBool);
231 PETSC_EXTERN PetscErrorCode SNESKSPGetUseEW(SNES, PetscBool *);
232 PETSC_EXTERN PetscErrorCode SNESKSPSetParametersEW(SNES, PetscInt, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal);
233 PETSC_EXTERN PetscErrorCode SNESKSPGetParametersEW(SNES, PetscInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *);
234 
235 #include <petscdrawtypes.h>
236 PETSC_EXTERN PetscErrorCode SNESMonitorLGRange(SNES, PetscInt, PetscReal, void *);
237 
238 PETSC_EXTERN PetscErrorCode SNESSetApplicationContext(SNES, void *);
239 PETSC_EXTERN PetscErrorCode SNESGetApplicationContext(SNES, void *);
240 PETSC_EXTERN PetscErrorCode SNESSetComputeApplicationContext(SNES, PetscErrorCode (*)(SNES, void **), PetscErrorCode (*)(void **));
241 
242 PETSC_EXTERN PetscErrorCode SNESPythonSetType(SNES, const char[]);
243 PETSC_EXTERN PetscErrorCode SNESPythonGetType(SNES, const char *[]);
244 
245 PETSC_EXTERN PetscErrorCode SNESSetFunctionDomainError(SNES);
246 PETSC_EXTERN PetscErrorCode SNESGetFunctionDomainError(SNES, PetscBool *);
247 PETSC_EXTERN PetscErrorCode SNESGetJacobianDomainError(SNES, PetscBool *);
248 PETSC_EXTERN PetscErrorCode SNESSetJacobianDomainError(SNES);
249 PETSC_EXTERN PetscErrorCode SNESSetCheckJacobianDomainError(SNES, PetscBool);
250 PETSC_EXTERN PetscErrorCode SNESGetCheckJacobianDomainError(SNES, PetscBool *);
251 
252 #define SNES_CONVERGED_TR_DELTA_DEPRECATED SNES_CONVERGED_TR_DELTA PETSC_DEPRECATED_ENUM(3, 12, 0, "SNES_DIVERGED_TR_DELTA", )
253 /*E
254     SNESConvergedReason - reason a `SNESSolve()` was determined to have converged or diverged
255 
256    Values:
257 +  `SNES_CONVERGED_FNORM_ABS`      - 2-norm(F) <= abstol
258 .  `SNES_CONVERGED_FNORM_RELATIVE` - 2-norm(F) <= rtol*2-norm(F(x_0)) where x_0 is the initial guess
259 .  `SNES_CONVERGED_SNORM_RELATIVE` - The 2-norm of the last step <= stol * 2-norm(x) where x is the current
260 .  `SNES_DIVERGED_FUNCTION_COUNT`  - The user provided function has been called more times than the maximum set in `SNESSetTolerances()`
261 .  `SNES_DIVERGED_DTOL`            - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
262 .  `SNES_DIVERGED_FNORM_NAN`       - the 2-norm of the current function evaluation is not-a-number (NaN), this
263                                      is usually caused by a division of 0 by 0.
264 .  `SNES_DIVERGED_MAX_IT`          - `SNESSolve()` has reached the maximum number of iterations requested
265 .  `SNES_DIVERGED_LINE_SEARCH`     - The line search has failed. This only occurs for `SNES` solvers that use a line search
266 .  `SNES_DIVERGED_LOCAL_MIN`       - the algorithm seems to have stagnated at a local minimum that is not zero.
267 -  `SNES_CONERGED_ITERATING`       - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
268 
269    Level: beginner
270 
271     Notes:
272    The two most common reasons for divergence are an incorrectly coded or computed Jacobian or failure or lack of convergence in the linear system (in this case we recommend
273    testing with `-pc_type lu` to eliminate the linear solver as the cause of the problem).
274 
275    `SNES_DIVERGED_LOCAL_MIN` can only occur when using the line-search variant of `SNES`.
276    The line search wants to minimize Q(alpha) = 1/2 || F(x + alpha s) ||^2_2  this occurs
277    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
278    you get Q'(alpha) = -F(x)^T F'(x)^(-1)^T F'(x+alpha s)F(x+alpha s); when alpha = 0
279    Q'(0) = - ||F(x)||^2_2 which is always NEGATIVE if F'(x) is invertible. This means the Newton
280    direction is a descent direction and the line search should succeed if alpha is small enough.
281 
282    If F'(x) is NOT invertible AND F'(x)^T F(x) = 0 then Q'(0) = 0 and the Newton direction
283    is NOT a descent direction so the line search will fail. All one can do at this point
284    is change the initial guess and try again.
285 
286    An alternative explanation: Newton's method can be regarded as replacing the function with
287    its linear approximation and minimizing the 2-norm of that. That is F(x+s) approx F(x) + F'(x)s
288    so we minimize || F(x) + F'(x) s ||^2_2; do this using Least Squares. If F'(x) is invertible then
289    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
290    exists a nontrivial (that is F'(x)s != 0) solution to the equation and this direction is
291    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)
292    = - (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)) != 0
293    and F'(x)^T F'(x) has no negative eigenvalues Q'(0) < 0 so s is a descent direction and the line
294    search should succeed for small enough alpha.
295 
296    Note that this RARELY happens in practice. Far more likely the linear system is not being solved
297    (well enough?) or the Jacobian is wrong.
298 
299    `SNES_DIVERGED_MAX_IT` means that the solver reached the maximum number of iterations without satisfying any
300    convergence criteria. `SNES_CONVERGED_ITS` means that `SNESConvergedSkip()` was chosen as the convergence test;
301    thus the usual convergence criteria have not been checked and may or may not be satisfied.
302 
303 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`, `SNESSetTolerances()`
304 E*/
305 typedef enum {                       /* converged */
306   SNES_CONVERGED_FNORM_ABS      = 2, /* ||F|| < atol */
307   SNES_CONVERGED_FNORM_RELATIVE = 3, /* ||F|| < rtol*||F_initial|| */
308   SNES_CONVERGED_SNORM_RELATIVE = 4, /* Newton computed step size small; || delta x || < stol || x ||*/
309   SNES_CONVERGED_ITS            = 5, /* maximum iterations reached */
310   SNES_BREAKOUT_INNER_ITER      = 6, /* Flag to break out of inner loop after checking custom convergence. */
311                                      /* it is used in multi-phase flow when state changes */
312   /* diverged */
313   SNES_DIVERGED_FUNCTION_DOMAIN      = -1, /* the new x location passed the function is not in the domain of F */
314   SNES_DIVERGED_FUNCTION_COUNT       = -2,
315   SNES_DIVERGED_LINEAR_SOLVE         = -3, /* the linear solve failed */
316   SNES_DIVERGED_FNORM_NAN            = -4,
317   SNES_DIVERGED_MAX_IT               = -5,
318   SNES_DIVERGED_LINE_SEARCH          = -6,  /* the line search failed */
319   SNES_DIVERGED_INNER                = -7,  /* inner solve failed */
320   SNES_DIVERGED_LOCAL_MIN            = -8,  /* || J^T b || is small, implies converged to local minimum of F() */
321   SNES_DIVERGED_DTOL                 = -9,  /* || F || > divtol*||F_initial|| */
322   SNES_DIVERGED_JACOBIAN_DOMAIN      = -10, /* Jacobian calculation does not make sense */
323   SNES_DIVERGED_TR_DELTA             = -11,
324   SNES_CONVERGED_TR_DELTA_DEPRECATED = -11,
325 
326   SNES_CONVERGED_ITERATING = 0
327 } SNESConvergedReason;
328 PETSC_EXTERN const char *const *SNESConvergedReasons;
329 
330 /*MC
331    SNES_CONVERGED_FNORM_ABS - 2-norm(F) <= abstol
332 
333    Level: beginner
334 
335 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
336 M*/
337 
338 /*MC
339    SNES_CONVERGED_FNORM_RELATIVE - 2-norm(F) <= rtol*2-norm(F(x_0)) where x_0 is the initial guess
340 
341    Level: beginner
342 
343 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
344 M*/
345 
346 /*MC
347   SNES_CONVERGED_SNORM_RELATIVE - The 2-norm of the last step <= stol * 2-norm(x) where x is the current
348   solution and stol is the 4th argument to `SNESSetTolerances()`
349 
350   Options Database Key:
351   -snes_stol <stol> - the step tolerance
352 
353    Level: beginner
354 
355 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
356 M*/
357 
358 /*MC
359    SNES_DIVERGED_FUNCTION_COUNT - The user provided function has been called more times then the final
360    argument to `SNESSetTolerances()`
361 
362    Level: beginner
363 
364 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
365 M*/
366 
367 /*MC
368    SNES_DIVERGED_DTOL - The norm of the function has increased by a factor of divtol set with `SNESSetDivergenceTolerance()`
369 
370    Level: beginner
371 
372 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESSetDivergenceTolerance()`
373 M*/
374 
375 /*MC
376    SNES_DIVERGED_FNORM_NAN - the 2-norm of the current function evaluation is not-a-number (NaN), this
377    is usually caused by a division of 0 by 0.
378 
379    Level: beginner
380 
381 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
382 M*/
383 
384 /*MC
385    SNES_DIVERGED_MAX_IT - SNESSolve() has reached the maximum number of iterations requested
386 
387    Level: beginner
388 
389 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
390 M*/
391 
392 /*MC
393    SNES_DIVERGED_LINE_SEARCH - The line search has failed. This only occurs for a `SNES` solvers that use a line search
394 
395    Level: beginner
396 
397 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`, `SNESLineSearch`
398 M*/
399 
400 /*MC
401    SNES_DIVERGED_LOCAL_MIN - the algorithm seems to have stagnated at a local minimum that is not zero.
402    See the manual page for `SNESConvergedReason` for more details
403 
404    Level: beginner
405 
406 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
407 M*/
408 
409 /*MC
410    SNES_CONERGED_ITERATING - this only occurs if `SNESGetConvergedReason()` is called during the `SNESSolve()`
411 
412    Level: beginner
413 
414 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `SNESConvergedReason`, `SNESSetTolerances()`
415 M*/
416 
417 PETSC_EXTERN PetscErrorCode SNESSetConvergenceTest(SNES, PetscErrorCode (*)(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *), void *, PetscErrorCode (*)(void *));
418 PETSC_EXTERN PetscErrorCode SNESConvergedDefault(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
419 PETSC_EXTERN PetscErrorCode SNESConvergedSkip(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
420 PETSC_EXTERN PetscErrorCode SNESConvergedCorrectPressure(SNES, PetscInt, PetscReal, PetscReal, PetscReal, SNESConvergedReason *, void *);
421 PETSC_EXTERN PetscErrorCode SNESGetConvergedReason(SNES, SNESConvergedReason *);
422 PETSC_EXTERN PetscErrorCode SNESGetConvergedReasonString(SNES, const char **);
423 PETSC_EXTERN PetscErrorCode SNESSetConvergedReason(SNES, SNESConvergedReason);
424 
425 PETSC_DEPRECATED_FUNCTION(3, 5, 0, "SNESConvergedSkip()", ) static inline void SNESSkipConverged(void)
426 { /* never called */
427 }
428 #define SNESSkipConverged (SNESSkipConverged, SNESConvergedSkip)
429 
430 /*S
431   SNESInitialGuessFn - A prototype of a `SNES` compute initial guess function that would be passed to `SNESSetComputeInitialGuess()`
432 
433   Calling Sequence:
434 + snes  - `SNES` context
435 . u   - output vector to contain initial guess
436 - ctx - [optional] user-defined function context
437 
438   Level: beginner
439 
440 .seealso: [](ch_snes), `SNES`, `SNESSetComputeInitialGuess()`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESFunctionFn`
441 S*/
442 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESInitialGuessFn)(SNES snes, Vec u, void *ctx);
443 
444 /*S
445   SNESFunctionFn - A prototype of a `SNES` evaluation function that would be passed to `SNESSetFunction()`
446 
447   Calling Sequence:
448 + snes  - `SNES` context
449 . u   - input vector
450 . F   - function vector
451 - ctx - [optional] user-defined function context
452 
453   Level: beginner
454 
455 .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
456 S*/
457 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESFunctionFn)(SNES snes, Vec u, Vec F, void *ctx);
458 
459 /*S
460   SNESObjectiveFn - A prototype of a `SNES` objective evaluation function that would be passed to `SNESSetObjective()`
461 
462   Calling Sequence:
463 + snes  - `SNES` context
464 . u   - input vector
465 . o   - output value
466 - ctx - [optional] user-defined function context
467 
468   Level: beginner
469 
470 .seealso: [](ch_snes), `SNES`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`, `SNESNGSFn`
471 S*/
472 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESObjectiveFn)(SNES snes, Vec u, PetscReal *o, void *ctx);
473 
474 /*S
475   SNESJacobianFn - A prototype of a `SNES` Jacobian evaluation function that would be passed to `SNESSetJacobian()`
476 
477   Calling Sequence:
478 + snes   - the `SNES` context obtained from `SNESCreate()`
479 . u    - input vector
480 . Amat - (approximate) Jacobian matrix
481 . Pmat - matrix used to construct the preconditioner, often the same as `Amat`
482 - ctx  - [optional] user-defined context for matrix evaluation routine
483 
484   Level: beginner
485 
486 .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESNGSFn`
487 S*/
488 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESJacobianFn)(SNES snes, Vec u, Mat Amat, Mat Pmat, void *ctx);
489 
490 /*S
491   SNESNGSFn - A prototype of a `SNES` nonlinear Gauss-Seidel function that would be passed to `SNESSetNGS()`
492 
493   Calling Sequence:
494 + snes   - the `SNES` context obtained from `SNESCreate()`
495 . u    - the current solution, updated in place
496 . b    - the right-hand side vector (which may be `NULL`)
497 - ctx  - [optional] user-defined context for matrix evaluation routine
498 
499   Level: beginner
500 
501 .seealso: [](ch_snes), `SNES`, `SNESSetJacobian()`, `SNESGetJacobian()`, `SNESFunctionFn`, `SNESSetFunction()`, `SNESGetFunction()`, `SNESJacobianFn`
502 S*/
503 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESNGSFn)(SNES snes, Vec u, Vec b, void *ctx);
504 
505 /*S
506   SNESUpdateFn - A prototype of a `SNES` update function that would be passed to `SNESSetUpdate()`
507 
508   Calling Sequence:
509 + snes - `SNES` context
510 - step - the current iteration index
511 
512   Level: advanced
513 
514 .seealso: [](ch_snes), `SNES`, `SNESSetUpdate()`
515 S*/
516 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESUpdateFn)(SNES snes, PetscInt step);
517 
518 /* --------- Solving systems of nonlinear equations --------------- */
519 PETSC_EXTERN PetscErrorCode SNESSetFunction(SNES, Vec, SNESFunctionFn *, void *);
520 PETSC_EXTERN PetscErrorCode SNESGetFunction(SNES, Vec *, SNESFunctionFn **, void **);
521 PETSC_EXTERN PetscErrorCode SNESComputeFunction(SNES, Vec, Vec);
522 PETSC_EXTERN PetscErrorCode SNESComputeMFFunction(SNES, Vec, Vec);
523 PETSC_EXTERN PetscErrorCode SNESSetInitialFunction(SNES, Vec);
524 
525 PETSC_EXTERN PetscErrorCode SNESSetJacobian(SNES, Mat, Mat, SNESJacobianFn *, void *);
526 PETSC_EXTERN PetscErrorCode SNESGetJacobian(SNES, Mat *, Mat *, SNESJacobianFn **, void **);
527 PETSC_EXTERN SNESFunctionFn SNESObjectiveComputeFunctionDefaultFD;
528 PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefault;
529 PETSC_EXTERN SNESJacobianFn SNESComputeJacobianDefaultColor;
530 PETSC_EXTERN PetscErrorCode SNESPruneJacobianColor(SNES, Mat, Mat);
531 PETSC_EXTERN PetscErrorCode SNESSetComputeInitialGuess(SNES, SNESInitialGuessFn *, void *);
532 PETSC_EXTERN PetscErrorCode SNESSetPicard(SNES, Vec, SNESFunctionFn *, Mat, Mat, SNESJacobianFn *, void *);
533 PETSC_EXTERN PetscErrorCode SNESGetPicard(SNES, Vec *, SNESFunctionFn **, Mat *, Mat *, SNESJacobianFn **, void **);
534 PETSC_EXTERN SNESFunctionFn SNESPicardComputeFunction;
535 PETSC_EXTERN SNESFunctionFn SNESPicardComputeMFFunction;
536 PETSC_EXTERN SNESJacobianFn SNESPicardComputeJacobian;
537 
538 PETSC_EXTERN PetscErrorCode SNESSetObjective(SNES, SNESObjectiveFn *, void *);
539 PETSC_EXTERN PetscErrorCode SNESGetObjective(SNES, SNESObjectiveFn **, void **);
540 PETSC_EXTERN PetscErrorCode SNESComputeObjective(SNES, Vec, PetscReal *);
541 
542 PETSC_EXTERN PetscErrorCode SNESSetUpdate(SNES, SNESUpdateFn *);
543 
544 /*E
545    SNESNormSchedule - Frequency with which the norm is computed during a nonliner solve
546 
547    Values:
548 +   `SNES_NORM_DEFAULT`            - use the default behavior for the current `SNESType`
549 .   `SNES_NORM_NONE`               - avoid all norm computations
550 .   `SNES_NORM_ALWAYS`             - compute the norms whenever possible
551 .   `SNES_NORM_INITIAL_ONLY`       - compute the norm only when the algorithm starts
552 .   `SNES_NORM_FINAL_ONLY`         - compute the norm only when the algorithm finishes
553 -   `SNES_NORM_INITIAL_FINAL_ONLY` - compute the norm at the start and end of the algorithm
554 
555    Level: advanced
556 
557    Notes:
558    Support for these is highly dependent on the solver.
559 
560    Some options limit the convergence tests that can be used.
561 
562    The `SNES_NORM_NONE` option is most commonly used when the nonlinear solver is being used as a smoother, for example for `SNESFAS`
563 
564    This is primarily used to turn off extra norm and function computation
565    when the solvers are composed.
566 
567 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
568           `KSPSetConvergenceTest()`, `KSPSetPCSide()`
569 E*/
570 typedef enum {
571   SNES_NORM_DEFAULT            = -1,
572   SNES_NORM_NONE               = 0,
573   SNES_NORM_ALWAYS             = 1,
574   SNES_NORM_INITIAL_ONLY       = 2,
575   SNES_NORM_FINAL_ONLY         = 3,
576   SNES_NORM_INITIAL_FINAL_ONLY = 4
577 } SNESNormSchedule;
578 PETSC_EXTERN const char *const *const SNESNormSchedules;
579 
580 /*MC
581    SNES_NORM_NONE - Don't compute function and its L2 norm when possible
582 
583    Level: advanced
584 
585    Note:
586    This is most useful for stationary solvers with a fixed number of iterations used as smoothers.
587 
588 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_DEFAULT`
589 M*/
590 
591 /*MC
592    SNES_NORM_ALWAYS - Compute the function and its L2 norm at each iteration.
593 
594    Level: advanced
595 
596    Note:
597    Most solvers will use this no matter what norm type is passed to them.
598 
599 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_NONE`
600 M*/
601 
602 /*MC
603    SNES_NORM_INITIAL_ONLY - Compute the function and its L2 at iteration 0, but do not update it.
604 
605    Level: advanced
606 
607    Notes:
608    This method is useful in composed methods, when a true solution might actually be found before `SNESSolve()` is called.
609    This option enables the solve to abort on the zeroth iteration if this is the case.
610 
611    For solvers that require the computation of the L2 norm of the function as part of the method, this merely cancels
612    the norm computation at the last iteration (if possible).
613 
614 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_FINAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
615 M*/
616 
617 /*MC
618    SNES_NORM_FINAL_ONLY - Compute the function and its L2 norm on only the final iteration.
619 
620    Level: advanced
621 
622    Note:
623    For solvers that require the computation of the L2 norm of the function as part of the method, behaves
624    exactly as `SNES_NORM_DEFAULT`.  This method is useful when the function is gotten after `SNESSolve()` and
625    used in subsequent computation for methods that do not need the norm computed during the rest of the
626    solution procedure.
627 
628 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_INITIAL_ONLY`, `SNES_NORM_INITIAL_FINAL_ONLY`
629 M*/
630 
631 /*MC
632    SNES_NORM_INITIAL_FINAL_ONLY - Compute the function and its L2 norm on only the initial and final iterations.
633 
634    Level: advanced
635 
636    Note:
637    This method combines the benefits of `SNES_NORM_INITIAL_ONLY` and `SNES_NORM_FINAL_ONLY`.
638 
639 .seealso: [](ch_snes), `SNESNormSchedule`, `SNES`, `SNESSetNormSchedule()`, `SNES_NORM_SNES_NORM_INITIAL_ONLY`, `SNES_NORM_FINAL_ONLY`
640 M*/
641 
642 PETSC_EXTERN PetscErrorCode SNESSetNormSchedule(SNES, SNESNormSchedule);
643 PETSC_EXTERN PetscErrorCode SNESGetNormSchedule(SNES, SNESNormSchedule *);
644 PETSC_EXTERN PetscErrorCode SNESSetFunctionNorm(SNES, PetscReal);
645 PETSC_EXTERN PetscErrorCode SNESGetFunctionNorm(SNES, PetscReal *);
646 PETSC_EXTERN PetscErrorCode SNESGetUpdateNorm(SNES, PetscReal *);
647 PETSC_EXTERN PetscErrorCode SNESGetSolutionNorm(SNES, PetscReal *);
648 
649 /*E
650    SNESFunctionType - Type of function computed
651 
652    Values:
653 +  `SNES_FUNCTION_DEFAULT`          - the default behavior for the current `SNESType`
654 .  `SNES_FUNCTION_UNPRECONDITIONED` - the original function provided
655 -  `SNES_FUNCTION_PRECONDITIONED`   - the modification of the function by the preconditioner
656 
657    Level: advanced
658 
659    Note:
660    Support for these is dependent on the solver.
661 
662 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPSetNormType()`,
663           `KSPSetConvergenceTest()`, `KSPSetPCSide()`
664 E*/
665 typedef enum {
666   SNES_FUNCTION_DEFAULT          = -1,
667   SNES_FUNCTION_UNPRECONDITIONED = 0,
668   SNES_FUNCTION_PRECONDITIONED   = 1
669 } SNESFunctionType;
670 PETSC_EXTERN const char *const *const SNESFunctionTypes;
671 
672 PETSC_EXTERN PetscErrorCode SNESSetFunctionType(SNES, SNESFunctionType);
673 PETSC_EXTERN PetscErrorCode SNESGetFunctionType(SNES, SNESFunctionType *);
674 
675 PETSC_EXTERN PetscErrorCode SNESSetNGS(SNES, SNESNGSFn *, void *);
676 PETSC_EXTERN PetscErrorCode SNESGetNGS(SNES, SNESNGSFn **, void **);
677 PETSC_EXTERN PetscErrorCode SNESComputeNGS(SNES, Vec, Vec);
678 
679 PETSC_EXTERN PetscErrorCode SNESNGSSetSweeps(SNES, PetscInt);
680 PETSC_EXTERN PetscErrorCode SNESNGSGetSweeps(SNES, PetscInt *);
681 PETSC_EXTERN PetscErrorCode SNESNGSSetTolerances(SNES, PetscReal, PetscReal, PetscReal, PetscInt);
682 PETSC_EXTERN PetscErrorCode SNESNGSGetTolerances(SNES, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
683 
684 PETSC_EXTERN PetscErrorCode SNESSetAlwaysComputesFinalResidual(SNES, PetscBool);
685 PETSC_EXTERN PetscErrorCode SNESGetAlwaysComputesFinalResidual(SNES, PetscBool *);
686 
687 PETSC_EXTERN PetscErrorCode SNESShellGetContext(SNES, void *);
688 PETSC_EXTERN PetscErrorCode SNESShellSetContext(SNES, void *);
689 PETSC_EXTERN PetscErrorCode SNESShellSetSolve(SNES, PetscErrorCode (*)(SNES, Vec));
690 
691 /* --------- Routines specifically for line search methods --------------- */
692 
693 /*S
694    SNESLineSearch - Abstract PETSc object that manages line-search operations for nonlinear solvers
695 
696    Level: beginner
697 
698 .seealso: [](ch_snes), `SNESLineSearchType`, `SNESLineSearchCreate()`, `SNESLineSearchSetType()`, `SNES`
699 S*/
700 typedef struct _p_LineSearch *SNESLineSearch;
701 
702 /*J
703    SNESLineSearchType - String with the name of a PETSc line search method `SNESLineSearch`
704 
705    Values:
706 +  `SNESLINESEARCHBASIC`   - (or equivalently `SNESLINESEARCHNONE`) Simple damping line search, defaults to using the full Newton step
707 .  `SNESLINESEARCHBT`      - Backtracking line search over the L2 norm of the function
708 .  `SNESLINESEARCHL2`      - Secant line search over the L2 norm of the function
709 .  `SNESLINESEARCHCP`      - Critical point secant line search assuming F(x) = grad G(x) for some unknown G(x)
710 .  `SNESLINESEARCHNLEQERR` - Affine-covariant error-oriented linesearch
711 -  `SNESLINESEARCHSHELL`   - User provided `SNESLineSearch` implementation
712 
713    Level: beginner
714 
715 .seealso: [](ch_snes), `SNESLineSearch`, `SNESLineSearchSetType()`, `SNES`
716 J*/
717 typedef const char *SNESLineSearchType;
718 #define SNESLINESEARCHBT        "bt"
719 #define SNESLINESEARCHNLEQERR   "nleqerr"
720 #define SNESLINESEARCHBASIC     "basic"
721 #define SNESLINESEARCHNONE      "none"
722 #define SNESLINESEARCHL2        "l2"
723 #define SNESLINESEARCHCP        "cp"
724 #define SNESLINESEARCHSHELL     "shell"
725 #define SNESLINESEARCHNCGLINEAR "ncglinear"
726 
727 PETSC_EXTERN PetscFunctionList SNESList;
728 PETSC_EXTERN PetscClassId      SNESLINESEARCH_CLASSID;
729 PETSC_EXTERN PetscFunctionList SNESLineSearchList;
730 
731 #define SNES_LINESEARCH_ORDER_LINEAR    1
732 #define SNES_LINESEARCH_ORDER_QUADRATIC 2
733 #define SNES_LINESEARCH_ORDER_CUBIC     3
734 
735 /*S
736   SNESLineSearchVIProjectFn - A prototype of a `SNES` function that projects a vector onto the VI bounds, passed to `SNESLineSearchSetVIFunctions()`
737 
738   Calling Sequence:
739 + snes  - `SNES` context
740 - u     - the vector to project to the bounds
741 
742   Level: advanced
743 
744   Note:
745   The deprecated `SNESLineSearchVIProjectFunc` still works as a replacement for `SNESLineSearchVIProjectFn` *.
746 
747 .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
748 S*/
749 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESLineSearchVIProjectFn)(SNES snes, Vec u);
750 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVIProjectFn *SNESLineSearchVIProjectFunc; // deprecated
751 
752 /*S
753   SNESLineSearchVIProjectFn - A prototype of a `SNES` function that computes the norm of the active set variables in a vector in a VI solve,
754   passed to `SNESLineSearchSetVIFunctions()`
755 
756   Calling Sequence:
757 + snes  - `SNES` context
758 . f     - the vector to compute the norm of
759 . u     - the current solution, entries that are on the VI bounds are ignored
760 - fnorm - the resulting norm
761 
762   Level: advanced
763 
764   Note:
765   The deprecated `SNESLineSearchVINormFunc` still works as a replacement for `SNESLineSearchVINormFn` *.
766 
767 .seealso: [](ch_snes), `SNES`, `SNESLineSearch`
768 S*/
769 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESLineSearchVINormFn)(SNES snes, Vec f, Vec u, PetscReal *fnorm);
770 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchVINormFn *SNESLineSearchVINormFunc; // deprecated
771 
772 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESLineSearchApplyFn)(SNESLineSearch);
773 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchApplyFn *SNESLineSearchApplyFunc; // deprecated
774 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(SNESLineSearchShellApplyFn)(SNESLineSearch, void *);
775 PETSC_EXTERN_TYPEDEF typedef SNESLineSearchShellApplyFn *SNESLineSearchUserFunc; // deprecated
776 
777 PETSC_EXTERN PetscErrorCode SNESLineSearchCreate(MPI_Comm, SNESLineSearch *);
778 PETSC_EXTERN PetscErrorCode SNESLineSearchReset(SNESLineSearch);
779 PETSC_EXTERN PetscErrorCode SNESLineSearchView(SNESLineSearch, PetscViewer);
780 PETSC_EXTERN PetscErrorCode SNESLineSearchDestroy(SNESLineSearch *);
781 PETSC_EXTERN PetscErrorCode SNESLineSearchGetType(SNESLineSearch, SNESLineSearchType *);
782 PETSC_EXTERN PetscErrorCode SNESLineSearchSetType(SNESLineSearch, SNESLineSearchType);
783 PETSC_EXTERN PetscErrorCode SNESLineSearchSetFromOptions(SNESLineSearch);
784 PETSC_EXTERN PetscErrorCode SNESLineSearchSetFunction(SNESLineSearch, PetscErrorCode (*)(SNES, Vec, Vec));
785 PETSC_EXTERN PetscErrorCode SNESLineSearchSetUp(SNESLineSearch);
786 PETSC_EXTERN PetscErrorCode SNESLineSearchApply(SNESLineSearch, Vec, Vec, PetscReal *, Vec);
787 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheck(SNESLineSearch, Vec, Vec, PetscBool *);
788 PETSC_EXTERN PetscErrorCode SNESLineSearchPostCheck(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *);
789 PETSC_EXTERN PetscErrorCode SNESLineSearchSetWorkVecs(SNESLineSearch, PetscInt);
790 
791 /* set the functions for precheck and postcheck */
792 
793 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPreCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void *ctx);
794 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPostCheck(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void *ctx);
795 
796 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPreCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, PetscBool *, void *), void **ctx);
797 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPostCheck(SNESLineSearch, PetscErrorCode (**)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *), void **ctx);
798 
799 /* set the functions for VI-specific line search operations */
800 
801 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn *, SNESLineSearchVINormFn *);
802 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFn **, SNESLineSearchVINormFn **);
803 
804 /* pointers to the associated SNES in order to be able to get the function evaluation out */
805 PETSC_EXTERN PetscErrorCode SNESLineSearchSetSNES(SNESLineSearch, SNES);
806 PETSC_EXTERN PetscErrorCode SNESLineSearchGetSNES(SNESLineSearch, SNES *);
807 
808 /* set and get the parameters and vectors */
809 PETSC_EXTERN PetscErrorCode SNESLineSearchGetTolerances(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscInt *);
810 PETSC_EXTERN PetscErrorCode SNESLineSearchSetTolerances(SNESLineSearch, PetscReal, PetscReal, PetscReal, PetscReal, PetscReal, PetscInt);
811 
812 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheckPicard(SNESLineSearch, Vec, Vec, PetscBool *, void *);
813 
814 PETSC_EXTERN PetscErrorCode SNESLineSearchGetLambda(SNESLineSearch, PetscReal *);
815 PETSC_EXTERN PetscErrorCode SNESLineSearchSetLambda(SNESLineSearch, PetscReal);
816 
817 PETSC_EXTERN PetscErrorCode SNESLineSearchGetDamping(SNESLineSearch, PetscReal *);
818 PETSC_EXTERN PetscErrorCode SNESLineSearchSetDamping(SNESLineSearch, PetscReal);
819 
820 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOrder(SNESLineSearch, PetscInt *order);
821 PETSC_EXTERN PetscErrorCode SNESLineSearchSetOrder(SNESLineSearch, PetscInt order);
822 
823 /*E
824     SNESLineSearchReason - indication if the line search has succeeded or failed and why
825 
826   Values:
827 +  `SNES_LINESEARCH_SUCCEEDED`       - the line search succeeded
828 .  `SNES_LINESEARCH_FAILED_NANORINF` - a not a number of infinity appeared in the computions
829 .  `SNES_LINESEARCH_FAILED_DOMAIN`   - the function was evaluated outside of its domain, see `SNESSetFunctionDomainError()` and `SNESSetJacobianDomainError()`
830 .  `SNES_LINESEARCH_FAILED_REDUCT`   - the linear search failed to get the requested decrease in its norm or objective
831 .  `SNES_LINESEARCH_FAILED_USER`     - used by `SNESLINESEARCHNLEQERR` to indicate the user changed the search direction inappropriately
832 -  `SNES_LINESEARCH_FAILED_FUNCTION` - indicates the maximum number of function evaluations allowed has been surpassed, `SNESConvergedReason` is also
833                                        set to `SNES_DIVERGED_FUNCTION_COUNT`
834 
835    Level: intermediate
836 
837    Developer Note:
838    Some of these reasons overlap with values of `SNESConvergedReason`
839 
840 .seealso: [](ch_snes), `SNES`, `SNESSolve()`, `SNESGetConvergedReason()`, `KSPConvergedReason`, `SNESSetConvergenceTest()`,
841           `SNESSetFunctionDomainError()` and `SNESSetJacobianDomainError()`
842 E*/
843 typedef enum {
844   SNES_LINESEARCH_SUCCEEDED,
845   SNES_LINESEARCH_FAILED_NANORINF,
846   SNES_LINESEARCH_FAILED_DOMAIN,
847   SNES_LINESEARCH_FAILED_REDUCT, /* INSUFFICIENT REDUCTION */
848   SNES_LINESEARCH_FAILED_USER,
849   SNES_LINESEARCH_FAILED_FUNCTION
850 } SNESLineSearchReason;
851 
852 PETSC_EXTERN PetscErrorCode SNESLineSearchGetReason(SNESLineSearch, SNESLineSearchReason *);
853 PETSC_EXTERN PetscErrorCode SNESLineSearchSetReason(SNESLineSearch, SNESLineSearchReason);
854 
855 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVecs(SNESLineSearch, Vec *, Vec *, Vec *, Vec *, Vec *);
856 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVecs(SNESLineSearch, Vec, Vec, Vec, Vec, Vec);
857 
858 PETSC_EXTERN PetscErrorCode SNESLineSearchGetNorms(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *);
859 PETSC_EXTERN PetscErrorCode SNESLineSearchSetNorms(SNESLineSearch, PetscReal, PetscReal, PetscReal);
860 PETSC_EXTERN PetscErrorCode SNESLineSearchComputeNorms(SNESLineSearch);
861 PETSC_EXTERN PetscErrorCode SNESLineSearchSetComputeNorms(SNESLineSearch, PetscBool);
862 
863 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitor(SNESLineSearch);
864 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSet(SNESLineSearch, PetscErrorCode (*)(SNESLineSearch, void *), void *, PetscErrorCode (*)(void **));
865 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSetFromOptions(SNESLineSearch, const char[], const char[], const char[], PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *), PetscErrorCode (*)(SNESLineSearch, PetscViewerAndFormat *));
866 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorCancel(SNESLineSearch);
867 PETSC_EXTERN PetscErrorCode SNESLineSearchSetDefaultMonitor(SNESLineSearch, PetscViewer);
868 PETSC_EXTERN PetscErrorCode SNESLineSearchGetDefaultMonitor(SNESLineSearch, PetscViewer *);
869 PETSC_EXTERN PetscErrorCode SNESLineSearchMonitorSolutionUpdate(SNESLineSearch, PetscViewerAndFormat *);
870 
871 PETSC_EXTERN PetscErrorCode SNESLineSearchAppendOptionsPrefix(SNESLineSearch, const char prefix[]);
872 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOptionsPrefix(SNESLineSearch, const char *prefix[]);
873 
874 /* Shell interface functions */
875 PETSC_EXTERN PetscErrorCode SNESLineSearchShellSetApply(SNESLineSearch, SNESLineSearchShellApplyFn, void *);
876 PETSC_EXTERN PetscErrorCode SNESLineSearchShellGetApply(SNESLineSearch, SNESLineSearchShellApplyFn **, void **);
877 
878 PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellSetApply()", ) static inline PetscErrorCode SNESLineSearchShellSetUserFunc(SNESLineSearch ls, SNESLineSearchUserFunc f, void *ctx)
879 {
880   return SNESLineSearchShellSetApply(ls, f, ctx);
881 }
882 
883 PETSC_DEPRECATED_FUNCTION(3, 21, 0, "SNESLinesearchShellGetApply()", ) static inline PetscErrorCode SNESLineSearchShellGetUserFunc(SNESLineSearch ls, SNESLineSearchUserFunc *f, void **ctx)
884 {
885   return SNESLineSearchShellGetApply(ls, f, ctx);
886 }
887 
888 /* BT interface functions */
889 PETSC_EXTERN PetscErrorCode SNESLineSearchBTSetAlpha(SNESLineSearch, PetscReal);
890 PETSC_EXTERN PetscErrorCode SNESLineSearchBTGetAlpha(SNESLineSearch, PetscReal *);
891 
892 /*register line search types */
893 PETSC_EXTERN PetscErrorCode SNESLineSearchRegister(const char[], PetscErrorCode (*)(SNESLineSearch));
894 
895 /* Routines for VI solver */
896 PETSC_EXTERN PetscErrorCode SNESVISetVariableBounds(SNES, Vec, Vec);
897 PETSC_EXTERN PetscErrorCode SNESVIGetVariableBounds(SNES, Vec *, Vec *);
898 PETSC_EXTERN PetscErrorCode SNESVISetComputeVariableBounds(SNES, PetscErrorCode (*)(SNES, Vec, Vec));
899 PETSC_EXTERN PetscErrorCode SNESVIGetInactiveSet(SNES, IS *);
900 PETSC_EXTERN PetscErrorCode SNESVIGetActiveSetIS(SNES, Vec, Vec, IS *);
901 PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFnorm(SNES, Vec, Vec, PetscReal *);
902 PETSC_EXTERN PetscErrorCode SNESVISetRedundancyCheck(SNES, PetscErrorCode (*)(SNES, IS, IS *, void *), void *);
903 PETSC_EXTERN PetscErrorCode SNESVIComputeMeritFunction(Vec, PetscReal *, PetscReal *);
904 PETSC_EXTERN PetscErrorCode SNESVIComputeFunction(SNES, Vec, Vec, void *);
905 PETSC_EXTERN PetscErrorCode DMSetVI(DM, IS);
906 PETSC_EXTERN PetscErrorCode DMDestroyVI(DM);
907 
908 PETSC_EXTERN PetscErrorCode SNESTestLocalMin(SNES);
909 
910 /* Should this routine be private? */
911 PETSC_EXTERN PetscErrorCode SNESComputeJacobian(SNES, Vec, Mat, Mat);
912 PETSC_EXTERN PetscErrorCode SNESTestJacobian(SNES);
913 PETSC_EXTERN PetscErrorCode SNESTestFunction(SNES);
914 
915 PETSC_EXTERN PetscErrorCode SNESSetDM(SNES, DM);
916 PETSC_EXTERN PetscErrorCode SNESGetDM(SNES, DM *);
917 PETSC_EXTERN PetscErrorCode SNESSetNPC(SNES, SNES);
918 PETSC_EXTERN PetscErrorCode SNESGetNPC(SNES, SNES *);
919 PETSC_EXTERN PetscErrorCode SNESHasNPC(SNES, PetscBool *);
920 PETSC_EXTERN PetscErrorCode SNESApplyNPC(SNES, Vec, Vec, Vec);
921 PETSC_EXTERN PetscErrorCode SNESGetNPCFunction(SNES, Vec, PetscReal *);
922 PETSC_EXTERN PetscErrorCode SNESComputeFunctionDefaultNPC(SNES, Vec, Vec);
923 PETSC_EXTERN PetscErrorCode SNESSetNPCSide(SNES, PCSide);
924 PETSC_EXTERN PetscErrorCode SNESGetNPCSide(SNES, PCSide *);
925 PETSC_EXTERN PetscErrorCode SNESSetLineSearch(SNES, SNESLineSearch);
926 PETSC_EXTERN PetscErrorCode SNESGetLineSearch(SNES, SNESLineSearch *);
927 
928 PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESGetLineSearch()", ) static inline PetscErrorCode SNESGetSNESLineSearch(SNES snes, SNESLineSearch *ls)
929 {
930   return SNESGetLineSearch(snes, ls);
931 }
932 PETSC_DEPRECATED_FUNCTION(3, 4, 0, "SNESSetLineSearch()", ) static inline PetscErrorCode SNESSetSNESLineSearch(SNES snes, SNESLineSearch ls)
933 {
934   return SNESSetLineSearch(snes, ls);
935 }
936 
937 PETSC_EXTERN PetscErrorCode SNESSetUpMatrices(SNES);
938 PETSC_EXTERN PetscErrorCode DMSNESSetFunction(DM, SNESFunctionFn *, void *);
939 PETSC_EXTERN PetscErrorCode DMSNESGetFunction(DM, SNESFunctionFn **, void **);
940 PETSC_EXTERN PetscErrorCode DMSNESSetFunctionContextDestroy(DM, PetscErrorCode (*)(void *));
941 PETSC_EXTERN PetscErrorCode DMSNESSetMFFunction(DM, SNESFunctionFn *, void *);
942 PETSC_EXTERN PetscErrorCode DMSNESSetNGS(DM, SNESNGSFn *, void *);
943 PETSC_EXTERN PetscErrorCode DMSNESGetNGS(DM, SNESNGSFn **, void **);
944 PETSC_EXTERN PetscErrorCode DMSNESSetJacobian(DM, SNESJacobianFn *, void *);
945 PETSC_EXTERN PetscErrorCode DMSNESGetJacobian(DM, SNESJacobianFn **, void **);
946 PETSC_EXTERN PetscErrorCode DMSNESSetJacobianContextDestroy(DM, PetscErrorCode (*)(void *));
947 PETSC_EXTERN PetscErrorCode DMSNESSetPicard(DM, SNESFunctionFn *, SNESJacobianFn *, void *);
948 PETSC_EXTERN PetscErrorCode DMSNESGetPicard(DM, SNESFunctionFn **, SNESJacobianFn **, void **);
949 PETSC_EXTERN PetscErrorCode DMSNESSetObjective(DM, SNESObjectiveFn *, void *);
950 PETSC_EXTERN PetscErrorCode DMSNESGetObjective(DM, SNESObjectiveFn **, void **);
951 PETSC_EXTERN PetscErrorCode DMCopyDMSNES(DM, DM);
952 
953 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESFunctionFn)(DMDALocalInfo *, void *, void *, void *);
954 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESJacobianFn)(DMDALocalInfo *, void *, Mat, Mat, void *);
955 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESObjectiveFn)(DMDALocalInfo *, void *, PetscReal *, void *);
956 
957 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESFunctionVecFn)(DMDALocalInfo *, Vec, Vec, void *);
958 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESJacobianVecFn)(DMDALocalInfo *, Vec, Mat, Mat, void *);
959 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode(DMDASNESObjectiveVecFn)(DMDALocalInfo *, Vec, PetscReal *, void *);
960 
961 PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocal(DM, InsertMode, DMDASNESFunctionFn *, void *);
962 PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocal(DM, DMDASNESJacobianFn *, void *);
963 PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocal(DM, DMDASNESObjectiveFn *, void *);
964 PETSC_EXTERN PetscErrorCode DMDASNESSetPicardLocal(DM, InsertMode, DMDASNESFunctionFn *, DMDASNESJacobianFn, void *);
965 
966 PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocalVec(DM, InsertMode, DMDASNESFunctionVecFn *, void *);
967 PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocalVec(DM, DMDASNESJacobianVecFn *, void *);
968 PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocalVec(DM, DMDASNESObjectiveVecFn *, void *);
969 
970 PETSC_EXTERN PetscErrorCode DMSNESSetBoundaryLocal(DM, PetscErrorCode (*)(DM, Vec, void *), void *);
971 PETSC_EXTERN PetscErrorCode DMSNESSetObjectiveLocal(DM, PetscErrorCode (*)(DM, Vec, PetscReal *, void *), void *);
972 PETSC_EXTERN PetscErrorCode DMSNESSetFunctionLocal(DM, PetscErrorCode (*)(DM, Vec, Vec, void *), void *);
973 PETSC_EXTERN PetscErrorCode DMSNESSetJacobianLocal(DM, PetscErrorCode (*)(DM, Vec, Mat, Mat, void *), void *);
974 PETSC_EXTERN PetscErrorCode DMSNESGetBoundaryLocal(DM, PetscErrorCode (**)(DM, Vec, void *), void **);
975 PETSC_EXTERN PetscErrorCode DMSNESGetObjectiveLocal(DM, PetscErrorCode (**)(DM, Vec, PetscReal *, void *), void **);
976 PETSC_EXTERN PetscErrorCode DMSNESGetFunctionLocal(DM, PetscErrorCode (**)(DM, Vec, Vec, void *), void **);
977 PETSC_EXTERN PetscErrorCode DMSNESGetJacobianLocal(DM, PetscErrorCode (**)(DM, Vec, Mat, Mat, void *), void **);
978 
979 /* Routines for Multiblock solver */
980 PETSC_EXTERN PetscErrorCode SNESMultiblockSetFields(SNES, const char[], PetscInt, const PetscInt *);
981 PETSC_EXTERN PetscErrorCode SNESMultiblockSetIS(SNES, const char[], IS);
982 PETSC_EXTERN PetscErrorCode SNESMultiblockSetBlockSize(SNES, PetscInt);
983 PETSC_EXTERN PetscErrorCode SNESMultiblockSetType(SNES, PCCompositeType);
984 PETSC_EXTERN PetscErrorCode SNESMultiblockGetSubSNES(SNES, PetscInt *, SNES *[]);
985 
986 /*J
987    SNESMSType - String with the name of a PETSc `SNESMS` method.
988 
989    Level: intermediate
990 
991 .seealso: [](ch_snes), `SNESMS`, `SNESMSGetType()`, `SNESMSSetType()`, `SNES`
992 J*/
993 typedef const char *SNESMSType;
994 #define SNESMSM62       "m62"
995 #define SNESMSEULER     "euler"
996 #define SNESMSJAMESON83 "jameson83"
997 #define SNESMSVLTP11    "vltp11"
998 #define SNESMSVLTP21    "vltp21"
999 #define SNESMSVLTP31    "vltp31"
1000 #define SNESMSVLTP41    "vltp41"
1001 #define SNESMSVLTP51    "vltp51"
1002 #define SNESMSVLTP61    "vltp61"
1003 
1004 PETSC_EXTERN PetscErrorCode SNESMSRegister(SNESMSType, PetscInt, PetscInt, PetscReal, const PetscReal[], const PetscReal[], const PetscReal[]);
1005 PETSC_EXTERN PetscErrorCode SNESMSRegisterAll(void);
1006 PETSC_EXTERN PetscErrorCode SNESMSGetType(SNES, SNESMSType *);
1007 PETSC_EXTERN PetscErrorCode SNESMSSetType(SNES, SNESMSType);
1008 PETSC_EXTERN PetscErrorCode SNESMSGetDamping(SNES, PetscReal *);
1009 PETSC_EXTERN PetscErrorCode SNESMSSetDamping(SNES, PetscReal);
1010 PETSC_EXTERN PetscErrorCode SNESMSFinalizePackage(void);
1011 PETSC_EXTERN PetscErrorCode SNESMSInitializePackage(void);
1012 PETSC_EXTERN PetscErrorCode SNESMSRegisterDestroy(void);
1013 
1014 /*MC
1015    SNESNGMRESRestartType - the restart approach used by `SNESNGMRES`
1016 
1017   Values:
1018 +   `SNES_NGMRES_RESTART_NONE`       - never restart
1019 .   `SNES_NGMRES_RESTART_DIFFERENCE` - restart based upon difference criteria
1020 -   `SNES_NGMRES_RESTART_PERIODIC`   - restart after a fixed number of iterations
1021 
1022   Options Database Keys:
1023 + -snes_ngmres_restart_type <difference,periodic,none> - set the restart type
1024 - -snes_ngmres_restart <30>                            - sets the number of iterations before restart for periodic
1025 
1026    Level: intermediate
1027 
1028 .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1029           `SNESNGMRESGetRestartType()`, `SNESNGMRESSelectType`
1030 M*/
1031 typedef enum {
1032   SNES_NGMRES_RESTART_NONE       = 0,
1033   SNES_NGMRES_RESTART_PERIODIC   = 1,
1034   SNES_NGMRES_RESTART_DIFFERENCE = 2
1035 } SNESNGMRESRestartType;
1036 PETSC_EXTERN const char *const SNESNGMRESRestartTypes[];
1037 
1038 /*MC
1039    SNESNGMRESSelectType - the approach used by `SNESNGMRES` to determine how the candidate solution and
1040   combined solution are used to create the next iterate.
1041 
1042    Values:
1043 +   `SNES_NGMRES_SELECT_NONE`       - choose the combined solution all the time
1044 .   `SNES_NGMRES_SELECT_DIFFERENCE` - choose based upon the selection criteria
1045 -   `SNES_NGMRES_SELECT_LINESEARCH` - choose based upon line search combination
1046 
1047   Options Database Key:
1048 . -snes_ngmres_select_type<difference,none,linesearch> - select type
1049 
1050    Level: intermediate
1051 
1052 .seealso: `SNES, `SNESNGMRES`, `SNESNGMRESSetSelectType()`, `SNESNGMRESGetSelectType()`, `SNESNGMRESSetRestartType()`,
1053           `SNESNGMRESGetRestartType()`, `SNESNGMRESRestartType`
1054 M*/
1055 typedef enum {
1056   SNES_NGMRES_SELECT_NONE       = 0,
1057   SNES_NGMRES_SELECT_DIFFERENCE = 1,
1058   SNES_NGMRES_SELECT_LINESEARCH = 2
1059 } SNESNGMRESSelectType;
1060 PETSC_EXTERN const char *const SNESNGMRESSelectTypes[];
1061 
1062 PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartType(SNES, SNESNGMRESRestartType);
1063 PETSC_EXTERN PetscErrorCode SNESNGMRESSetSelectType(SNES, SNESNGMRESSelectType);
1064 PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartFmRise(SNES, PetscBool);
1065 PETSC_EXTERN PetscErrorCode SNESNGMRESGetRestartFmRise(SNES, PetscBool *);
1066 
1067 /*MC
1068    SNESNCGType - the conjugate update approach for `SNESNCG`
1069 
1070    Values:
1071 +   `SNES_NCG_FR`  - Fletcher-Reeves update
1072 .   `SNES_NCG_PRP` - Polak-Ribiere-Polyak update, the default and the only one that tolerates generalized search directions
1073 .   `SNES_NCG_HS`  - Hestenes-Steifel update
1074 .   `SNES_NCG_DY`  - Dai-Yuan update
1075 -   `SNES_NCG_CD`  - Conjugate Descent update
1076 
1077   Options Database Key:
1078 . -snes_ncg_type<fr,prp,hs,dy,cd> - select type
1079 
1080    Level: intermediate
1081 
1082 .seealso: `SNES, `SNESNCG`, `SNESNCGSetType()`
1083 M*/
1084 typedef enum {
1085   SNES_NCG_FR  = 0,
1086   SNES_NCG_PRP = 1,
1087   SNES_NCG_HS  = 2,
1088   SNES_NCG_DY  = 3,
1089   SNES_NCG_CD  = 4
1090 } SNESNCGType;
1091 PETSC_EXTERN const char *const SNESNCGTypes[];
1092 
1093 PETSC_EXTERN PetscErrorCode SNESNCGSetType(SNES, SNESNCGType);
1094 
1095 /*MC
1096    SNESQNScaleType - the scaling type used by `SNESQN`
1097 
1098    Values:
1099 +   `SNES_QN_SCALE_NONE`     - don't scale the problem
1100 .   `SNES_QN_SCALE_SCALAR`   - use Shanno scaling
1101 .   `SNES_QN_SCALE_DIAGONAL` - scale with a diagonalized BFGS formula (see Gilbert and Lemarechal 1989), available
1102 -   `SNES_QN_SCALE_JACOBIAN` - scale by solving a linear system coming from the Jacobian you provided with `SNESSetJacobian()`
1103                                computed at the first iteration of `SNESQN` and at ever restart.
1104 
1105     Options Database Key:
1106 . -snes_qn_scale_type <diagonal,none,scalar,jacobian> - Scaling type
1107 
1108    Level: intermediate
1109 
1110 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNRestartType`
1111 M*/
1112 typedef enum {
1113   SNES_QN_SCALE_DEFAULT  = 0,
1114   SNES_QN_SCALE_NONE     = 1,
1115   SNES_QN_SCALE_SCALAR   = 2,
1116   SNES_QN_SCALE_DIAGONAL = 3,
1117   SNES_QN_SCALE_JACOBIAN = 4
1118 } SNESQNScaleType;
1119 PETSC_EXTERN const char *const SNESQNScaleTypes[];
1120 
1121 /*MC
1122    SNESQNRestartType - the restart approached used by `SNESQN`
1123 
1124    Values:
1125 +   `SNES_QN_RESTART_NONE`     - never restart
1126 .   `SNES_QN_RESTART_POWELL`   - restart based upon descent criteria
1127 -   `SNES_QN_RESTART_PERIODIC` - restart after a fixed number of iterations
1128 
1129   Options Database Keys:
1130 + -snes_qn_restart_type <powell,periodic,none> - set the restart type
1131 - -snes_qn_m <m>                               - sets the number of stored updates and the restart period for periodic
1132 
1133    Level: intermediate
1134 
1135 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNType`, `SNESQNSetType()`, `SNESQNSetRestartType()`, `SNESQNScaleType`
1136 M*/
1137 typedef enum {
1138   SNES_QN_RESTART_DEFAULT  = 0,
1139   SNES_QN_RESTART_NONE     = 1,
1140   SNES_QN_RESTART_POWELL   = 2,
1141   SNES_QN_RESTART_PERIODIC = 3
1142 } SNESQNRestartType;
1143 PETSC_EXTERN const char *const SNESQNRestartTypes[];
1144 
1145 /*MC
1146    SNESQNType - the type used by `SNESQN`
1147 
1148   Values:
1149 +   `SNES_QN_LBFGS`      - LBFGS variant
1150 .   `SNES_QN_BROYDEN`    - Broyden variant
1151 -   `SNES_QN_BADBROYDEN` - Bad Broyden variant
1152 
1153   Options Database Key:
1154 . -snes_qn_type <lbfgs,broyden,badbroyden> - quasi-Newton type
1155 
1156    Level: intermediate
1157 
1158 .seealso: `SNES, `SNESQN`, `SNESQNSetScaleType()`, `SNESQNSetType()`, `SNESQNScaleType`, `SNESQNRestartType`, `SNESQNSetRestartType()`
1159 M*/
1160 typedef enum {
1161   SNES_QN_LBFGS      = 0,
1162   SNES_QN_BROYDEN    = 1,
1163   SNES_QN_BADBROYDEN = 2
1164 } SNESQNType;
1165 PETSC_EXTERN const char *const SNESQNTypes[];
1166 
1167 PETSC_EXTERN PetscErrorCode SNESQNSetType(SNES, SNESQNType);
1168 PETSC_EXTERN PetscErrorCode SNESQNSetScaleType(SNES, SNESQNScaleType);
1169 PETSC_EXTERN PetscErrorCode SNESQNSetRestartType(SNES, SNESQNRestartType);
1170 
1171 PETSC_EXTERN PetscErrorCode SNESNASMGetType(SNES, PCASMType *);
1172 PETSC_EXTERN PetscErrorCode SNESNASMSetType(SNES, PCASMType);
1173 PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomains(SNES, PetscInt *, SNES **, VecScatter **, VecScatter **, VecScatter **);
1174 PETSC_EXTERN PetscErrorCode SNESNASMSetSubdomains(SNES, PetscInt, SNES *, VecScatter *, VecScatter *, VecScatter *);
1175 PETSC_EXTERN PetscErrorCode SNESNASMSetDamping(SNES, PetscReal);
1176 PETSC_EXTERN PetscErrorCode SNESNASMGetDamping(SNES, PetscReal *);
1177 PETSC_EXTERN PetscErrorCode SNESNASMGetSubdomainVecs(SNES, PetscInt *, Vec **, Vec **, Vec **, Vec **);
1178 PETSC_EXTERN PetscErrorCode SNESNASMSetComputeFinalJacobian(SNES, PetscBool);
1179 PETSC_EXTERN PetscErrorCode SNESNASMGetSNES(SNES, PetscInt, SNES *);
1180 PETSC_EXTERN PetscErrorCode SNESNASMGetNumber(SNES, PetscInt *);
1181 PETSC_EXTERN PetscErrorCode SNESNASMSetWeight(SNES, Vec);
1182 
1183 /*E
1184   SNESCompositeType - Determines how two or more preconditioners are composed with the `SNESType` of `SNESCOMPOSITE`
1185 
1186   Values:
1187 + `SNES_COMPOSITE_ADDITIVE`        - results from application of all preconditioners are added together
1188 . `SNES_COMPOSITE_MULTIPLICATIVE`  - preconditioners are applied sequentially to the residual freshly
1189                                      computed after the previous preconditioner application
1190 - `SNES_COMPOSITE_ADDITIVEOPTIMAL` - uses a linear combination of the solutions obtained with each preconditioner that approximately minimize the function
1191                                      value at the new iteration.
1192 
1193    Level: beginner
1194 
1195 .seealso: [](sec_pc), `PCCOMPOSITE`, `PCFIELDSPLIT`, `PC`, `PCCompositeSetType()`, `PCCompositeType`
1196 E*/
1197 typedef enum {
1198   SNES_COMPOSITE_ADDITIVE,
1199   SNES_COMPOSITE_MULTIPLICATIVE,
1200   SNES_COMPOSITE_ADDITIVEOPTIMAL
1201 } SNESCompositeType;
1202 PETSC_EXTERN const char *const SNESCompositeTypes[];
1203 
1204 PETSC_EXTERN PetscErrorCode SNESCompositeSetType(SNES, SNESCompositeType);
1205 PETSC_EXTERN PetscErrorCode SNESCompositeAddSNES(SNES, SNESType);
1206 PETSC_EXTERN PetscErrorCode SNESCompositeGetSNES(SNES, PetscInt, SNES *);
1207 PETSC_EXTERN PetscErrorCode SNESCompositeGetNumber(SNES, PetscInt *);
1208 PETSC_EXTERN PetscErrorCode SNESCompositeSetDamping(SNES, PetscInt, PetscReal);
1209 
1210 PETSC_EXTERN PetscErrorCode SNESPatchSetDiscretisationInfo(SNES, PetscInt, DM *, PetscInt *, PetscInt *, const PetscInt **, const PetscInt *, PetscInt, const PetscInt *, PetscInt, const PetscInt *);
1211 PETSC_EXTERN PetscErrorCode SNESPatchSetComputeOperator(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Mat, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1212 PETSC_EXTERN PetscErrorCode SNESPatchSetComputeFunction(SNES, PetscErrorCode (*func)(PC, PetscInt, Vec, Vec, IS, PetscInt, const PetscInt *, const PetscInt *, void *), void *);
1213 PETSC_EXTERN PetscErrorCode SNESPatchSetConstructType(SNES, PCPatchConstructType, PetscErrorCode (*func)(PC, PetscInt *, IS **, IS *, void *), void *);
1214 PETSC_EXTERN PetscErrorCode SNESPatchSetCellNumbering(SNES, PetscSection);
1215 
1216 /*E
1217     SNESFASType - Determines the type of nonlinear multigrid method that is run.
1218 
1219    Values:
1220 +  `SNES_FAS_MULTIPLICATIVE` (default) - traditional V or W cycle as determined by `SNESFASSetCycles()`
1221 .  `SNES_FAS_ADDITIVE`                 - additive FAS cycle
1222 .  `SNES_FAS_FULL`                     - full FAS cycle
1223 -  `SNES_FAS_KASKADE`                  - Kaskade FAS cycle
1224 
1225    Level: beginner
1226 
1227 .seealso: [](ch_snes), `SNESFAS`, `PCMGSetType()`, `PCMGType`
1228 E*/
1229 typedef enum {
1230   SNES_FAS_MULTIPLICATIVE,
1231   SNES_FAS_ADDITIVE,
1232   SNES_FAS_FULL,
1233   SNES_FAS_KASKADE
1234 } SNESFASType;
1235 PETSC_EXTERN const char *const SNESFASTypes[];
1236 
1237 /* called on the finest level FAS instance*/
1238 PETSC_EXTERN PetscErrorCode SNESFASSetType(SNES, SNESFASType);
1239 PETSC_EXTERN PetscErrorCode SNESFASGetType(SNES, SNESFASType *);
1240 PETSC_EXTERN PetscErrorCode SNESFASSetLevels(SNES, PetscInt, MPI_Comm *);
1241 PETSC_EXTERN PetscErrorCode SNESFASGetLevels(SNES, PetscInt *);
1242 PETSC_EXTERN PetscErrorCode SNESFASGetCycleSNES(SNES, PetscInt, SNES *);
1243 PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothUp(SNES, PetscInt);
1244 PETSC_EXTERN PetscErrorCode SNESFASSetNumberSmoothDown(SNES, PetscInt);
1245 PETSC_EXTERN PetscErrorCode SNESFASSetCycles(SNES, PetscInt);
1246 PETSC_EXTERN PetscErrorCode SNESFASSetMonitor(SNES, PetscViewerAndFormat *, PetscBool);
1247 PETSC_EXTERN PetscErrorCode SNESFASSetLog(SNES, PetscBool);
1248 
1249 PETSC_EXTERN PetscErrorCode SNESFASSetGalerkin(SNES, PetscBool);
1250 PETSC_EXTERN PetscErrorCode SNESFASGetGalerkin(SNES, PetscBool *);
1251 PETSC_EXTERN PetscErrorCode SNESFASGalerkinFunctionDefault(SNES, Vec, Vec, void *);
1252 
1253 /* called on any level -- "Cycle" FAS instance */
1254 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmoother(SNES, SNES *);
1255 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherUp(SNES, SNES *);
1256 PETSC_EXTERN PetscErrorCode SNESFASCycleGetSmootherDown(SNES, SNES *);
1257 PETSC_EXTERN PetscErrorCode SNESFASCycleGetCorrection(SNES, SNES *);
1258 PETSC_EXTERN PetscErrorCode SNESFASCycleGetInterpolation(SNES, Mat *);
1259 PETSC_EXTERN PetscErrorCode SNESFASCycleGetRestriction(SNES, Mat *);
1260 PETSC_EXTERN PetscErrorCode SNESFASCycleGetInjection(SNES, Mat *);
1261 PETSC_EXTERN PetscErrorCode SNESFASCycleGetRScale(SNES, Vec *);
1262 PETSC_EXTERN PetscErrorCode SNESFASCycleSetCycles(SNES, PetscInt);
1263 PETSC_EXTERN PetscErrorCode SNESFASCycleIsFine(SNES, PetscBool *);
1264 
1265 /* called on the (outer) finest level FAS to set/get parameters on any level instance */
1266 PETSC_EXTERN PetscErrorCode SNESFASSetInterpolation(SNES, PetscInt, Mat);
1267 PETSC_EXTERN PetscErrorCode SNESFASGetInterpolation(SNES, PetscInt, Mat *);
1268 PETSC_EXTERN PetscErrorCode SNESFASSetRestriction(SNES, PetscInt, Mat);
1269 PETSC_EXTERN PetscErrorCode SNESFASGetRestriction(SNES, PetscInt, Mat *);
1270 PETSC_EXTERN PetscErrorCode SNESFASSetInjection(SNES, PetscInt, Mat);
1271 PETSC_EXTERN PetscErrorCode SNESFASGetInjection(SNES, PetscInt, Mat *);
1272 PETSC_EXTERN PetscErrorCode SNESFASSetRScale(SNES, PetscInt, Vec);
1273 PETSC_EXTERN PetscErrorCode SNESFASGetRScale(SNES, PetscInt, Vec *);
1274 PETSC_EXTERN PetscErrorCode SNESFASSetContinuation(SNES, PetscBool);
1275 
1276 PETSC_EXTERN PetscErrorCode SNESFASGetSmoother(SNES, PetscInt, SNES *);
1277 PETSC_EXTERN PetscErrorCode SNESFASGetSmootherUp(SNES, PetscInt, SNES *);
1278 PETSC_EXTERN PetscErrorCode SNESFASGetSmootherDown(SNES, PetscInt, SNES *);
1279 PETSC_EXTERN PetscErrorCode SNESFASGetCoarseSolve(SNES, SNES *);
1280 
1281 /* parameters for full FAS */
1282 PETSC_EXTERN PetscErrorCode SNESFASFullSetDownSweep(SNES, PetscBool);
1283 PETSC_EXTERN PetscErrorCode SNESFASCreateCoarseVec(SNES, Vec *);
1284 PETSC_EXTERN PetscErrorCode SNESFASRestrict(SNES, Vec, Vec);
1285 PETSC_EXTERN PetscErrorCode SNESFASFullSetTotal(SNES, PetscBool);
1286 PETSC_EXTERN PetscErrorCode SNESFASFullGetTotal(SNES, PetscBool *);
1287 
1288 PETSC_EXTERN PetscErrorCode DMSNESCheckDiscretization(SNES, DM, PetscReal, Vec, PetscReal, PetscReal[]);
1289 PETSC_EXTERN PetscErrorCode DMSNESCheckResidual(SNES, DM, Vec, PetscReal, PetscReal *);
1290 PETSC_EXTERN PetscErrorCode DMSNESCheckJacobian(SNES, DM, Vec, PetscReal, PetscBool *, PetscReal *);
1291 PETSC_EXTERN PetscErrorCode DMSNESCheckFromOptions(SNES, Vec);
1292 PETSC_EXTERN PetscErrorCode DMSNESComputeJacobianAction(DM, Vec, Vec, Vec, void *);
1293 PETSC_EXTERN PetscErrorCode DMSNESCreateJacobianMF(DM, Vec, void *, Mat *);
1294 
1295 PETSC_EXTERN PetscErrorCode SNESNewtonALSetFunction(SNES, SNESFunctionFn *, void *ctx);
1296 PETSC_EXTERN PetscErrorCode SNESNewtonALGetFunction(SNES, SNESFunctionFn **, void **ctx);
1297 PETSC_EXTERN PetscErrorCode SNESNewtonALComputeFunction(SNES, Vec, Vec);
1298 PETSC_EXTERN PetscErrorCode SNESNewtonALGetLoadParameter(SNES, PetscReal *);
1299 
1300 /*MC
1301    SNESNewtonALCorrectionType - the approach used by `SNESNEWTONAL` to determine
1302    the correction to the current increment. While the exact correction satisfies
1303    the constraint surface at every iteration, it also requires solving a quadratic
1304    equation which may not have real roots. Conversely, the normal correction is more
1305    efficient and always yields a real correction and is the default.
1306 
1307    Values:
1308 +   `SNES_NEWTONAL_CORRECTION_EXACT` - choose the correction which exactly satisfies the constraint
1309 -   `SNES_NEWTONAL_CORRECTION_NORMAL` - choose the correction in the updated normal hyper-surface to the constraint surface
1310 
1311    Options Database Key:
1312 . -snes_newtonal_correction_type <exact> - select type from <exact,normal>
1313 
1314    Level: intermediate
1315 
1316 .seealso: `SNES`, `SNESNEWTONAL`, `SNESNewtonALSetCorrectionType()`
1317 M*/
1318 typedef enum {
1319   SNES_NEWTONAL_CORRECTION_EXACT  = 0,
1320   SNES_NEWTONAL_CORRECTION_NORMAL = 1,
1321 } SNESNewtonALCorrectionType;
1322 PETSC_EXTERN const char *const SNESNewtonALCorrectionTypes[];
1323 
1324 PETSC_EXTERN PetscErrorCode SNESNewtonALSetCorrectionType(SNES, SNESNewtonALCorrectionType);
1325