1 /* 2 User interface for the nonlinear solvers package. 3 */ 4 #if !defined(__PETSCSNES_H) 5 #define __PETSCSNES_H 6 #include "petscksp.h" 7 PETSC_EXTERN_CXX_BEGIN 8 9 /*S 10 SNES - Abstract PETSc object that manages all nonlinear solves 11 12 Level: beginner 13 14 Concepts: nonlinear solvers 15 16 .seealso: SNESCreate(), SNESSetType(), SNESType, TS, KSP, KSP, PC 17 S*/ 18 typedef struct _p_SNES* SNES; 19 20 /*E 21 SNESType - String with the name of a PETSc SNES method or the creation function 22 with an optional dynamic library name, for example 23 http://www.mcs.anl.gov/petsc/lib.a:mysnescreate() 24 25 Level: beginner 26 27 .seealso: SNESSetType(), SNES 28 E*/ 29 #define SNESType char* 30 #define SNESLS "ls" 31 #define SNESTR "tr" 32 #define SNESTEST "test" 33 34 /* Logging support */ 35 extern PetscCookie PETSCSNES_DLLEXPORT SNES_COOKIE; 36 37 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESInitializePackage(const char[]); 38 39 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESCreate(MPI_Comm,SNES*); 40 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDestroy(SNES); 41 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetType(SNES,const SNESType); 42 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorSet(SNES,PetscErrorCode(*)(SNES,PetscInt,PetscReal,void*),void *,PetscErrorCode (*)(void*)); 43 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorCancel(SNES); 44 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetConvergenceHistory(SNES,PetscReal[],PetscInt[],PetscInt,PetscTruth); 45 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetConvergenceHistory(SNES,PetscReal*[],PetscInt *[],PetscInt *); 46 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetUp(SNES); 47 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSolve(SNES,Vec,Vec); 48 49 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESAddOptionsChecker(PetscErrorCode (*)(SNES)); 50 51 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetUpdate(SNES, PetscErrorCode (*)(SNES, PetscInt)); 52 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDefaultUpdate(SNES, PetscInt); 53 54 extern PetscFList SNESList; 55 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESRegisterDestroy(void); 56 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESRegisterAll(const char[]); 57 58 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESRegister(const char[],const char[],const char[],PetscErrorCode (*)(SNES)); 59 60 /*MC 61 SNESRegisterDynamic - Adds a method to the nonlinear solver package. 62 63 Synopsis: 64 PetscErrorCode SNESRegisterDynamic(char *name_solver,char *path,char *name_create,PetscErrorCode (*routine_create)(SNES)) 65 66 Not collective 67 68 Input Parameters: 69 + name_solver - name of a new user-defined solver 70 . path - path (either absolute or relative) the library containing this solver 71 . name_create - name of routine to create method context 72 - routine_create - routine to create method context 73 74 Notes: 75 SNESRegisterDynamic() may be called multiple times to add several user-defined solvers. 76 77 If dynamic libraries are used, then the fourth input argument (routine_create) 78 is ignored. 79 80 Environmental variables such as ${PETSC_ARCH}, ${PETSC_DIR}, ${PETSC_LIB_DIR}, 81 and others of the form ${any_environmental_variable} occuring in pathname will be 82 replaced with appropriate values. 83 84 Sample usage: 85 .vb 86 SNESRegisterDynamic("my_solver",/home/username/my_lib/lib/libg/solaris/mylib.a, 87 "MySolverCreate",MySolverCreate); 88 .ve 89 90 Then, your solver can be chosen with the procedural interface via 91 $ SNESSetType(snes,"my_solver") 92 or at runtime via the option 93 $ -snes_type my_solver 94 95 Level: advanced 96 97 Note: If your function is not being put into a shared library then use SNESRegister() instead 98 99 .keywords: SNES, nonlinear, register 100 101 .seealso: SNESRegisterAll(), SNESRegisterDestroy() 102 M*/ 103 #if defined(PETSC_USE_DYNAMIC_LIBRARIES) 104 #define SNESRegisterDynamic(a,b,c,d) SNESRegister(a,b,c,0) 105 #else 106 #define SNESRegisterDynamic(a,b,c,d) SNESRegister(a,b,c,d) 107 #endif 108 109 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetKSP(SNES,KSP*); 110 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetKSP(SNES,KSP); 111 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetSolution(SNES,Vec*); 112 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetSolutionUpdate(SNES,Vec*); 113 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetFunction(SNES,Vec*,PetscErrorCode(**)(SNES,Vec,Vec,void*),void**); 114 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESView(SNES,PetscViewer); 115 116 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetOptionsPrefix(SNES,const char[]); 117 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESAppendOptionsPrefix(SNES,const char[]); 118 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetOptionsPrefix(SNES,const char*[]); 119 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetFromOptions(SNES); 120 121 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT MatCreateSNESMF(SNES,Mat*); 122 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT MatMFFDComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 123 124 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT MatDAADSetSNES(Mat,SNES); 125 126 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetType(SNES,const SNESType*); 127 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorDefault(SNES,PetscInt,PetscReal,void *); 128 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorRatio(SNES,PetscInt,PetscReal,void *); 129 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorSetRatio(SNES,PetscViewerASCIIMonitor); 130 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorSolution(SNES,PetscInt,PetscReal,void *); 131 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorResidual(SNES,PetscInt,PetscReal,void *); 132 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorSolutionUpdate(SNES,PetscInt,PetscReal,void *); 133 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorDefaultShort(SNES,PetscInt,PetscReal,void *); 134 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetTolerances(SNES,PetscReal,PetscReal,PetscReal,PetscInt,PetscInt); 135 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetTolerances(SNES,PetscReal*,PetscReal*,PetscReal*,PetscInt*,PetscInt*); 136 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetTrustRegionTolerance(SNES,PetscReal); 137 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetFunctionNorm(SNES,PetscReal*); 138 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetIterationNumber(SNES,PetscInt*); 139 140 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetNonlinearStepFailures(SNES,PetscInt*); 141 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetMaxNonlinearStepFailures(SNES,PetscInt); 142 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetMaxNonlinearStepFailures(SNES,PetscInt*); 143 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetNumberFunctionEvals(SNES,PetscInt*); 144 145 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetLagPreconditioner(SNES,PetscInt); 146 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetLagPreconditioner(SNES,PetscInt*); 147 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetLagJacobian(SNES,PetscInt); 148 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetLagJacobian(SNES,PetscInt*); 149 150 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetLinearSolveIterations(SNES,PetscInt*); 151 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetLinearSolveFailures(SNES,PetscInt*); 152 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetMaxLinearSolveFailures(SNES,PetscInt); 153 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetMaxLinearSolveFailures(SNES,PetscInt*); 154 155 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESKSPSetUseEW(SNES,PetscTruth); 156 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESKSPGetUseEW(SNES,PetscTruth*); 157 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESKSPSetParametersEW(SNES,PetscInt,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal); 158 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESKSPGetParametersEW(SNES,PetscInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*); 159 160 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorLGCreate(const char[],const char[],int,int,int,int,PetscDrawLG*); 161 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorLG(SNES,PetscInt,PetscReal,void*); 162 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESMonitorLGDestroy(PetscDrawLG); 163 164 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetApplicationContext(SNES,void *); 165 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetApplicationContext(SNES,void **); 166 167 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetFunctionDomainError(SNES); 168 /*E 169 SNESConvergedReason - reason a SNES method was said to 170 have converged or diverged 171 172 Level: beginner 173 174 The two most common reasons for divergence are 175 $ 1) an incorrectly coded or computed Jacobian or 176 $ 2) failure or lack of convergence in the linear system (in this case we recommend 177 $ testing with -pc_type lu to eliminate the linear solver as the cause of the problem). 178 179 Diverged Reasons: 180 . SNES_DIVERGED_LOCAL_MIN - this can only occur when using the line-search variant of SNES. 181 The line search wants to minimize Q(alpha) = 1/2 || F(x + alpha s) ||^2_2 this occurs 182 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 183 you get Q'(alpha) = -F(x)^T F'(x)^(-1)^T F'(x+alpha s)F(x+alpha s); when alpha = 0 184 Q'(0) = - ||F(x)||^2_2 which is always NEGATIVE if F'(x) is invertible. This means the Newton 185 direction is a descent direction and the line search should succeed if alpha is small enough. 186 187 If F'(x) is NOT invertible AND F'(x)^T F(x) = 0 then Q'(0) = 0 and the Newton direction 188 is NOT a descent direction so the line search will fail. All one can do at this point 189 is change the initial guess and try again. 190 191 An alternative explanation: Newton's method can be regarded as replacing the function with 192 its linear approximation and minimizing the 2-norm of that. That is F(x+s) approx F(x) + F'(x)s 193 so we minimize || F(x) + F'(x) s ||^2_2; do this using Least Squares. If F'(x) is invertible then 194 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 195 exists a nontrival (that is F'(x)s != 0) solution to the equation and this direction is 196 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) 197 = - (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)) != 0 198 and F'(x)^T F'(x) has no negative eigenvalues Q'(0) < 0 so s is a descent direction and the line 199 search should succeed for small enough alpha. 200 201 Note that this RARELY happens in practice. Far more likely the linear system is not being solved 202 (well enough?) or the Jacobian is wrong. 203 204 SNES_DIVERGED_MAX_IT means that the solver reached the maximum number of iterations without satisfying any 205 convergence criteria. SNES_CONVERGED_ITS means that SNESSkipConverged() was chosen as the convergence test; 206 thus the usual convergence criteria have not been checked and may or may not be satisfied. 207 208 Developer Notes: this must match finclude/petscsnes.h 209 210 The string versions of these are in SNESConvergedReason, if you change any value here you must 211 also adjust that array. 212 213 .seealso: SNESSolve(), SNESGetConvergedReason(), KSPConvergedReason, SNESSetConvergenceTest() 214 E*/ 215 typedef enum {/* converged */ 216 SNES_CONVERGED_FNORM_ABS = 2, /* ||F|| < atol */ 217 SNES_CONVERGED_FNORM_RELATIVE = 3, /* ||F|| < rtol*||F_initial|| */ 218 SNES_CONVERGED_PNORM_RELATIVE = 4, /* Newton computed step size small; || delta x || < tol */ 219 SNES_CONVERGED_ITS = 5, /* maximum iterations reached */ 220 SNES_CONVERGED_TR_DELTA = 7, 221 /* diverged */ 222 SNES_DIVERGED_FUNCTION_DOMAIN = -1, 223 SNES_DIVERGED_FUNCTION_COUNT = -2, 224 SNES_DIVERGED_LINEAR_SOLVE = -3, 225 SNES_DIVERGED_FNORM_NAN = -4, 226 SNES_DIVERGED_MAX_IT = -5, 227 SNES_DIVERGED_LS_FAILURE = -6, 228 SNES_DIVERGED_LOCAL_MIN = -8, /* || J^T b || is small, implies converged to local minimum of F() */ 229 SNES_CONVERGED_ITERATING = 0} SNESConvergedReason; 230 extern const char **SNESConvergedReasons; 231 232 /*MC 233 SNES_CONVERGED_FNORM_ABS - 2-norm(F) <= abstol 234 235 Level: beginner 236 237 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 238 239 M*/ 240 241 /*MC 242 SNES_CONVERGED_FNORM_RELATIVE - 2-norm(F) <= rtol*2-norm(F(x_0)) where x_0 is the initial guess 243 244 Level: beginner 245 246 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 247 248 M*/ 249 250 /*MC 251 SNES_CONVERGED_PNORM_RELATIVE - The 2-norm of the last step <= xtol * 2-norm(x) where x is the current 252 solution and xtol is the 4th argument to SNESSetTolerances() 253 254 Level: beginner 255 256 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 257 258 M*/ 259 260 /*MC 261 SNES_DIVERGED_FUNCTION_COUNT - The user provided function has been called more times then the final 262 argument to SNESSetTolerances() 263 264 Level: beginner 265 266 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 267 268 M*/ 269 270 /*MC 271 SNES_DIVERGED_FNORM_NAN - the 2-norm of the current function evaluation is not-a-number (NaN), this 272 is usually caused by a division of 0 by 0. 273 274 Level: beginner 275 276 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 277 278 M*/ 279 280 /*MC 281 SNES_DIVERGED_MAX_IT - SNESSolve() has reached the maximum number of iterations requested 282 283 Level: beginner 284 285 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 286 287 M*/ 288 289 /*MC 290 SNES_DIVERGED_LS_FAILURE - The line search has failed. This only occurs for a SNESType of SNESLS 291 292 Level: beginner 293 294 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 295 296 M*/ 297 298 /*MC 299 SNES_DIVERGED_LOCAL_MIN - the algorithm seems to have stagnated at a local minimum that is not zero 300 301 Level: beginner 302 303 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 304 305 M*/ 306 307 /*MC 308 SNES_CONERGED_ITERATING - this only occurs if SNESGetConvergedReason() is called during the SNESSolve() 309 310 Level: beginner 311 312 .seealso: SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances() 313 314 M*/ 315 316 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetConvergenceTest(SNES,PetscErrorCode (*)(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*),void*,PetscErrorCode (*)(void*)); 317 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDefaultConverged(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*); 318 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSkipConverged(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*); 319 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetConvergedReason(SNES,SNESConvergedReason*); 320 321 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDAFormFunction(SNES,Vec,Vec,void*); 322 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDAComputeJacobianWithAdic(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 323 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDAComputeJacobianWithAdifor(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 324 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDAComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 325 326 /* --------- Solving systems of nonlinear equations --------------- */ 327 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetFunction(SNES,Vec,PetscErrorCode(*)(SNES,Vec,Vec,void*),void *); 328 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESComputeFunction(SNES,Vec,Vec); 329 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESSetJacobian(SNES,Mat,Mat,PetscErrorCode(*)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void *); 330 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetJacobian(SNES,Mat*,Mat*,PetscErrorCode(**)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void **); 331 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDefaultComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 332 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESDefaultComputeJacobianColor(SNES,Vec,Mat*,Mat*,MatStructure*,void*); 333 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESGetRhs(SNES,Vec*); 334 335 /* --------- Routines specifically for line search methods --------------- */ 336 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchSet(SNES,PetscErrorCode(*)(SNES,void*,Vec,Vec,Vec,Vec,Vec,PetscReal,PetscReal,PetscReal*,PetscReal*,PetscTruth*),void*); 337 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchNo(SNES,void*,Vec,Vec,Vec,Vec,Vec,PetscReal,PetscReal,PetscReal*,PetscReal*,PetscTruth*); 338 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchNoNorms(SNES,void*,Vec,Vec,Vec,Vec,Vec,PetscReal,PetscReal,PetscReal*,PetscReal*,PetscTruth*); 339 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchCubic(SNES,void*,Vec,Vec,Vec,Vec,Vec,PetscReal,PetscReal,PetscReal*,PetscReal*,PetscTruth*); 340 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchQuadratic(SNES,void*,Vec,Vec,Vec,Vec,Vec,PetscReal,PetscReal,PetscReal*,PetscReal*,PetscTruth*); 341 342 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchSetPostCheck(SNES,PetscErrorCode(*)(SNES,Vec,Vec,Vec,void*,PetscTruth*,PetscTruth*),void*); 343 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchSetPreCheck(SNES,PetscErrorCode(*)(SNES,Vec,Vec,void*,PetscTruth*),void*); 344 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchSetParams(SNES,PetscReal,PetscReal); 345 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESLineSearchGetParams(SNES,PetscReal*,PetscReal*); 346 347 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESTestLocalMin(SNES); 348 349 /* Should this routine be private? */ 350 EXTERN PetscErrorCode PETSCSNES_DLLEXPORT SNESComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*); 351 352 PETSC_EXTERN_CXX_END 353 #endif 354