xref: /petsc/include/petscksp.h (revision fad47a0a50989ce39c782fb8acaab0e4028b3de9)
1 /*
2    Defines the interface functions for the Krylov subspace accelerators.
3 */
4 #ifndef __PETSCKSP_H
5 #define __PETSCKSP_H
6 #include <petscpc.h>
7 
8 PETSC_EXTERN PetscErrorCode KSPInitializePackage(void);
9 
10 /*S
11      KSP - Abstract PETSc object that manages all Krylov methods. This is the object that manages the
12          linear solves in PETSc (even those such as direct solvers that do no use Krylov accelerators).
13 
14    Level: beginner
15 
16   Concepts: Krylov methods
17 
18         Notes: When a direct solver is used but no Krylov solver is used the KSP object is still used by with a
19        KSPType of KSPPREONLY (meaning application of the preconditioner is only used as the linear solver).
20 
21 .seealso:  KSPCreate(), KSPSetType(), KSPType, SNES, TS, PC, KSP, KSPDestroy()
22 S*/
23 typedef struct _p_KSP*     KSP;
24 
25 /*J
26     KSPType - String with the name of a PETSc Krylov method.
27 
28    Level: beginner
29 
30 .seealso: KSPSetType(), KSP, KSPRegister(), KSPCreate(), KSPSetFromOptions()
31 J*/
32 typedef const char* KSPType;
33 #define KSPRICHARDSON "richardson"
34 #define KSPCHEBYSHEV  "chebyshev"
35 #define KSPCG         "cg"
36 #define KSPGROPPCG    "groppcg"
37 #define KSPPIPECG     "pipecg"
38 #define   KSPCGNE       "cgne"
39 #define   KSPNASH       "nash"
40 #define   KSPSTCG       "stcg"
41 #define   KSPGLTR       "gltr"
42 #define KSPFCG        "fcg"
43 #define KSPPIPEFCG    "pipefcg"
44 #define KSPGMRES      "gmres"
45 #define   KSPFGMRES     "fgmres"
46 #define   KSPLGMRES     "lgmres"
47 #define   KSPDGMRES     "dgmres"
48 #define   KSPPGMRES     "pgmres"
49 #define KSPTCQMR      "tcqmr"
50 #define KSPBCGS       "bcgs"
51 #define   KSPIBCGS      "ibcgs"
52 #define   KSPFBCGS      "fbcgs"
53 #define   KSPFBCGSR     "fbcgsr"
54 #define   KSPBCGSL      "bcgsl"
55 #define KSPCGS        "cgs"
56 #define KSPTFQMR      "tfqmr"
57 #define KSPCR         "cr"
58 #define KSPPIPECR     "pipecr"
59 #define KSPLSQR       "lsqr"
60 #define KSPPREONLY    "preonly"
61 #define KSPQCG        "qcg"
62 #define KSPBICG       "bicg"
63 #define KSPMINRES     "minres"
64 #define KSPSYMMLQ     "symmlq"
65 #define KSPLCD        "lcd"
66 #define KSPPYTHON     "python"
67 #define KSPGCR        "gcr"
68 #define KSPPIPEGCR    "pipegcr"
69 #define KSPTSIRM      "tsirm"
70 #define KSPCGLS       "cgls"
71 
72 /* Logging support */
73 PETSC_EXTERN PetscClassId KSP_CLASSID;
74 PETSC_EXTERN PetscClassId DMKSP_CLASSID;
75 
76 PETSC_EXTERN PetscErrorCode KSPCreate(MPI_Comm,KSP *);
77 PETSC_EXTERN PetscErrorCode KSPSetType(KSP,KSPType);
78 PETSC_EXTERN PetscErrorCode KSPGetType(KSP,KSPType *);
79 PETSC_EXTERN PetscErrorCode KSPSetUp(KSP);
80 PETSC_EXTERN PetscErrorCode KSPSetUpOnBlocks(KSP);
81 PETSC_EXTERN PetscErrorCode KSPSolve(KSP,Vec,Vec);
82 PETSC_EXTERN PetscErrorCode KSPSolveTranspose(KSP,Vec,Vec);
83 PETSC_EXTERN PetscErrorCode KSPReset(KSP);
84 PETSC_EXTERN PetscErrorCode KSPDestroy(KSP*);
85 PETSC_EXTERN PetscErrorCode KSPSetReusePreconditioner(KSP,PetscBool);
86 PETSC_EXTERN PetscErrorCode KSPSetSkipPCSetFromOptions(KSP,PetscBool);
87 
88 PETSC_EXTERN PetscFunctionList KSPList;
89 PETSC_EXTERN PetscErrorCode KSPRegister(const char[],PetscErrorCode (*)(KSP));
90 
91 PETSC_EXTERN PetscErrorCode KSPSetPCSide(KSP,PCSide);
92 PETSC_EXTERN PetscErrorCode KSPGetPCSide(KSP,PCSide*);
93 PETSC_EXTERN PetscErrorCode KSPSetTolerances(KSP,PetscReal,PetscReal,PetscReal,PetscInt);
94 PETSC_EXTERN PetscErrorCode KSPGetTolerances(KSP,PetscReal*,PetscReal*,PetscReal*,PetscInt*);
95 PETSC_EXTERN PetscErrorCode KSPSetInitialGuessNonzero(KSP,PetscBool );
96 PETSC_EXTERN PetscErrorCode KSPGetInitialGuessNonzero(KSP,PetscBool  *);
97 PETSC_EXTERN PetscErrorCode KSPSetInitialGuessKnoll(KSP,PetscBool );
98 PETSC_EXTERN PetscErrorCode KSPGetInitialGuessKnoll(KSP,PetscBool *);
99 PETSC_EXTERN PetscErrorCode KSPSetErrorIfNotConverged(KSP,PetscBool );
100 PETSC_EXTERN PetscErrorCode KSPGetErrorIfNotConverged(KSP,PetscBool  *);
101 PETSC_EXTERN PetscErrorCode KSPSetComputeEigenvalues(KSP,PetscBool );
102 PETSC_EXTERN PetscErrorCode KSPSetComputeRitz(KSP,PetscBool );
103 PETSC_EXTERN PetscErrorCode KSPGetComputeEigenvalues(KSP,PetscBool *);
104 PETSC_EXTERN PetscErrorCode KSPSetComputeSingularValues(KSP,PetscBool );
105 PETSC_EXTERN PetscErrorCode KSPGetComputeSingularValues(KSP,PetscBool *);
106 PETSC_EXTERN PetscErrorCode KSPGetRhs(KSP,Vec *);
107 PETSC_EXTERN PetscErrorCode KSPGetSolution(KSP,Vec *);
108 PETSC_EXTERN PetscErrorCode KSPGetResidualNorm(KSP,PetscReal*);
109 PETSC_EXTERN PetscErrorCode KSPGetIterationNumber(KSP,PetscInt*);
110 PETSC_EXTERN PetscErrorCode KSPGetTotalIterations(KSP,PetscInt*);
111 PETSC_EXTERN PetscErrorCode KSPCreateVecs(KSP,PetscInt,Vec**,PetscInt,Vec**);
112 PETSC_DEPRECATED("Use KSPCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode KSPGetVecs(KSP ksp,PetscInt n,Vec **x,PetscInt m,Vec **y) {return KSPCreateVecs(ksp,n,x,m,y);}
113 
114 PETSC_EXTERN PetscErrorCode KSPSetPreSolve(KSP,PetscErrorCode (*)(KSP,Vec,Vec,void*),void*);
115 PETSC_EXTERN PetscErrorCode KSPSetPostSolve(KSP,PetscErrorCode (*)(KSP,Vec,Vec,void*),void*);
116 
117 PETSC_EXTERN PetscErrorCode KSPSetPC(KSP,PC);
118 PETSC_EXTERN PetscErrorCode KSPGetPC(KSP,PC*);
119 
120 PETSC_EXTERN PetscErrorCode KSPMonitor(KSP,PetscInt,PetscReal);
121 PETSC_EXTERN PetscErrorCode KSPMonitorSet(KSP,PetscErrorCode (*)(KSP,PetscInt,PetscReal,void*),void *,PetscErrorCode (*)(void**));
122 PETSC_EXTERN PetscErrorCode KSPMonitorCancel(KSP);
123 PETSC_EXTERN PetscErrorCode KSPGetMonitorContext(KSP,void **);
124 PETSC_EXTERN PetscErrorCode KSPGetResidualHistory(KSP,PetscReal*[],PetscInt *);
125 PETSC_EXTERN PetscErrorCode KSPSetResidualHistory(KSP,PetscReal[],PetscInt,PetscBool );
126 
127 PETSC_EXTERN PetscErrorCode KSPBuildSolutionDefault(KSP,Vec,Vec*);
128 PETSC_EXTERN PetscErrorCode KSPBuildResidualDefault(KSP,Vec,Vec,Vec *);
129 PETSC_EXTERN PetscErrorCode KSPDestroyDefault(KSP);
130 PETSC_EXTERN PetscErrorCode KSPSetWorkVecs(KSP,PetscInt);
131 
132 PETSC_EXTERN PetscErrorCode PCKSPGetKSP(PC,KSP*);
133 PETSC_EXTERN PetscErrorCode PCBJacobiGetSubKSP(PC,PetscInt*,PetscInt*,KSP*[]);
134 PETSC_EXTERN PetscErrorCode PCASMGetSubKSP(PC,PetscInt*,PetscInt*,KSP*[]);
135 PETSC_EXTERN PetscErrorCode PCGASMGetSubKSP(PC,PetscInt*,PetscInt*,KSP*[]);
136 PETSC_EXTERN PetscErrorCode PCFieldSplitGetSubKSP(PC,PetscInt*,KSP*[]);
137 PETSC_EXTERN PetscErrorCode PCMGGetSmoother(PC,PetscInt,KSP*);
138 PETSC_EXTERN PetscErrorCode PCMGGetSmootherDown(PC,PetscInt,KSP*);
139 PETSC_EXTERN PetscErrorCode PCMGGetSmootherUp(PC,PetscInt,KSP*);
140 PETSC_EXTERN PetscErrorCode PCMGGetCoarseSolve(PC,KSP*);
141 PETSC_EXTERN PetscErrorCode PCGalerkinGetKSP(PC,KSP *);
142 
143 PETSC_EXTERN PetscErrorCode KSPBuildSolution(KSP,Vec,Vec *);
144 PETSC_EXTERN PetscErrorCode KSPBuildResidual(KSP,Vec,Vec,Vec *);
145 
146 PETSC_EXTERN PetscErrorCode KSPRichardsonSetScale(KSP,PetscReal);
147 PETSC_EXTERN PetscErrorCode KSPRichardsonSetSelfScale(KSP,PetscBool );
148 PETSC_EXTERN PetscErrorCode KSPChebyshevSetEigenvalues(KSP,PetscReal,PetscReal);
149 PETSC_EXTERN PetscErrorCode KSPChebyshevEstEigSet(KSP,PetscReal,PetscReal,PetscReal,PetscReal);
150 PETSC_EXTERN PetscErrorCode KSPChebyshevEstEigSetUseRandom(KSP,PetscBool);
151 PETSC_EXTERN PetscErrorCode KSPChebyshevEstEigSetRandom(KSP,PetscRandom);
152 PETSC_EXTERN PetscErrorCode KSPChebyshevEstEigGetKSP(KSP,KSP*);
153 PETSC_EXTERN PetscErrorCode KSPComputeExtremeSingularValues(KSP,PetscReal*,PetscReal*);
154 PETSC_EXTERN PetscErrorCode KSPComputeEigenvalues(KSP,PetscInt,PetscReal[],PetscReal[],PetscInt *);
155 PETSC_EXTERN PetscErrorCode KSPComputeEigenvaluesExplicitly(KSP,PetscInt,PetscReal[],PetscReal[]);
156 PETSC_EXTERN PetscErrorCode KSPComputeRitz(KSP,PetscBool,PetscBool,PetscInt *,Vec[],PetscReal[],PetscReal[]);
157 
158 /*E
159 
160   KSPFCDTruncationType - Define how stored directions are used to orthogonalize in flexible conjugate directions (FCD) methods
161 
162   KSP_FCD_TRUNCATION uses all (up to mmax) stored directions
163   KSP_FCD_TRUNCATION_RESTART uses the last max(1,mod(i,mmax)) stored directions at iteration i=0,1..
164 
165    Level: intermediate
166 .seealso : KSPFCG,KSPPIPEFCG,KSPPIPEGCR,KSPFCGSetTruncationType(),KSPFCGGetTruncationType()
167 
168 E*/
169 typedef enum {KSP_FCD_TRUNCATION,KSP_FCD_TRUNCATION_RESTART} KSPFCDTruncationType;
170 PETSC_EXTERN const char *const KSPFCDTruncationTypes[];
171 
172 #define KSPFCDGetNumOldDirections(ctx,i,mi) ({                                                    \
173   if(ctx->trunctype == KSP_FCD_TRUNCATION_RESTART){                                               \
174     mi = ((i-1) % ctx->mmax)+1;                                                                   \
175     if (mi==1 && i!=1) ++(ctx->n_search_space_resets);                                            \
176   } else if (ctx->trunctype == KSP_FCD_TRUNCATION)                                                \
177     mi = ctx->mmax;                                                                               \
178  else {                                                                                           \
179    SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unrecognized Truncation Strategy");CHKERRQ(ierr); \
180   }                                                                                               \
181 })
182 
183 PETSC_EXTERN PetscErrorCode KSPFCGSetMmax(KSP,PetscInt);
184 PETSC_EXTERN PetscErrorCode KSPFCGGetMmax(KSP,PetscInt*);
185 PETSC_EXTERN PetscErrorCode KSPFCGSetNprealloc(KSP,PetscInt);
186 PETSC_EXTERN PetscErrorCode KSPFCGGetNprealloc(KSP,PetscInt*);
187 PETSC_EXTERN PetscErrorCode KSPFCGSetTruncationType(KSP,KSPFCDTruncationType);
188 PETSC_EXTERN PetscErrorCode KSPFCGGetTruncationType(KSP,KSPFCDTruncationType*);
189 
190 PETSC_EXTERN PetscErrorCode KSPPIPEFCGSetMmax(KSP,PetscInt);
191 PETSC_EXTERN PetscErrorCode KSPPIPEFCGGetMmax(KSP,PetscInt*);
192 PETSC_EXTERN PetscErrorCode KSPPIPEFCGSetNprealloc(KSP,PetscInt);
193 PETSC_EXTERN PetscErrorCode KSPPIPEFCGGetNprealloc(KSP,PetscInt*);
194 PETSC_EXTERN PetscErrorCode KSPPIPEFCGSetTruncationType(KSP,KSPFCDTruncationType);
195 PETSC_EXTERN PetscErrorCode KSPPIPEFCGGetTruncationType(KSP,KSPFCDTruncationType*);
196 
197 PETSC_EXTERN PetscErrorCode KSPPIPEGCRSetMmax(KSP,PetscInt);
198 PETSC_EXTERN PetscErrorCode KSPPIPEGCRGetMmax(KSP,PetscInt*);
199 PETSC_EXTERN PetscErrorCode KSPPIPEGCRSetNprealloc(KSP,PetscInt);
200 PETSC_EXTERN PetscErrorCode KSPPIPEGCRGetNprealloc(KSP,PetscInt*);
201 PETSC_EXTERN PetscErrorCode KSPPIPEGCRSetTruncationType(KSP,KSPFCDTruncationType);
202 PETSC_EXTERN PetscErrorCode KSPPIPEGCRGetTruncationType(KSP,KSPFCDTruncationType*);
203 PETSC_EXTERN PetscErrorCode KSPPIPEGCRSetUnrollW(KSP,PetscBool);
204 PETSC_EXTERN PetscErrorCode KSPPIPEGCRGetUnrollW(KSP,PetscBool*);
205 
206 PETSC_EXTERN PetscErrorCode KSPGMRESSetRestart(KSP, PetscInt);
207 PETSC_EXTERN PetscErrorCode KSPGMRESGetRestart(KSP, PetscInt*);
208 PETSC_EXTERN PetscErrorCode KSPGMRESSetHapTol(KSP,PetscReal);
209 
210 PETSC_EXTERN PetscErrorCode KSPGMRESSetPreAllocateVectors(KSP);
211 PETSC_EXTERN PetscErrorCode KSPGMRESSetOrthogonalization(KSP,PetscErrorCode (*)(KSP,PetscInt));
212 PETSC_EXTERN PetscErrorCode KSPGMRESGetOrthogonalization(KSP,PetscErrorCode (**)(KSP,PetscInt));
213 PETSC_EXTERN PetscErrorCode KSPGMRESModifiedGramSchmidtOrthogonalization(KSP,PetscInt);
214 PETSC_EXTERN PetscErrorCode KSPGMRESClassicalGramSchmidtOrthogonalization(KSP,PetscInt);
215 
216 PETSC_EXTERN PetscErrorCode KSPLGMRESSetAugDim(KSP,PetscInt);
217 PETSC_EXTERN PetscErrorCode KSPLGMRESSetConstant(KSP);
218 
219 PETSC_EXTERN PetscErrorCode KSPGCRSetRestart(KSP,PetscInt);
220 PETSC_EXTERN PetscErrorCode KSPGCRGetRestart(KSP,PetscInt*);
221 PETSC_EXTERN PetscErrorCode KSPGCRSetModifyPC(KSP,PetscErrorCode (*)(KSP,PetscInt,PetscReal,void*),void*,PetscErrorCode(*)(void*));
222 
223 /*E
224     KSPGMRESCGSRefinementType - How the classical (unmodified) Gram-Schmidt is performed.
225 
226    Level: advanced
227 
228 .seealso: KSPGMRESClassicalGramSchmidtOrthogonalization(), KSPGMRESSetOrthogonalization(), KSPGMRESGetOrthogonalization(),
229           KSPGMRESSetCGSRefinementType(), KSPGMRESGetCGSRefinementType(), KSPGMRESModifiedGramSchmidtOrthogonalization()
230 
231 E*/
232 typedef enum {KSP_GMRES_CGS_REFINE_NEVER, KSP_GMRES_CGS_REFINE_IFNEEDED, KSP_GMRES_CGS_REFINE_ALWAYS} KSPGMRESCGSRefinementType;
233 PETSC_EXTERN const char *const KSPGMRESCGSRefinementTypes[];
234 /*MC
235     KSP_GMRES_CGS_REFINE_NEVER - Do the classical (unmodified) Gram-Schmidt process
236 
237    Level: advanced
238 
239    Note: Possible unstable, but the fastest to compute
240 
241 .seealso: KSPGMRESClassicalGramSchmidtOrthogonalization(), KSPGMRESSetOrthogonalization(), KSPGMRESGetOrthogonalization(),
242           KSPGMRESSetCGSRefinementType(), KSPGMRESGetCGSRefinementType(), KSP_GMRES_CGS_REFINE_IFNEEDED, KSP_GMRES_CGS_REFINE_ALWAYS,
243           KSPGMRESModifiedGramSchmidtOrthogonalization()
244 M*/
245 
246 /*MC
247     KSP_GMRES_CGS_REFINE_IFNEEDED - Do the classical (unmodified) Gram-Schmidt process and one step of
248           iterative refinement if an estimate of the orthogonality of the resulting vectors indicates
249           poor orthogonality.
250 
251    Level: advanced
252 
253    Note: This is slower than KSP_GMRES_CGS_REFINE_NEVER because it requires an extra norm computation to
254      estimate the orthogonality but is more stable.
255 
256 .seealso: KSPGMRESClassicalGramSchmidtOrthogonalization(), KSPGMRESSetOrthogonalization(), KSPGMRESGetOrthogonalization(),
257           KSPGMRESSetCGSRefinementType(), KSPGMRESGetCGSRefinementType(), KSP_GMRES_CGS_REFINE_NEVER, KSP_GMRES_CGS_REFINE_ALWAYS,
258           KSPGMRESModifiedGramSchmidtOrthogonalization()
259 M*/
260 
261 /*MC
262     KSP_GMRES_CGS_REFINE_NEVER - Do two steps of the classical (unmodified) Gram-Schmidt process.
263 
264    Level: advanced
265 
266    Note: This is roughly twice the cost of KSP_GMRES_CGS_REFINE_NEVER because it performs the process twice
267      but it saves the extra norm calculation needed by KSP_GMRES_CGS_REFINE_IFNEEDED.
268 
269         You should only use this if you absolutely know that the iterative refinement is needed.
270 
271 .seealso: KSPGMRESClassicalGramSchmidtOrthogonalization(), KSPGMRESSetOrthogonalization(), KSPGMRESGetOrthogonalization(),
272           KSPGMRESSetCGSRefinementType(), KSPGMRESGetCGSRefinementType(), KSP_GMRES_CGS_REFINE_IFNEEDED, KSP_GMRES_CGS_REFINE_ALWAYS,
273           KSPGMRESModifiedGramSchmidtOrthogonalization()
274 M*/
275 
276 PETSC_EXTERN PetscErrorCode KSPGMRESSetCGSRefinementType(KSP,KSPGMRESCGSRefinementType);
277 PETSC_EXTERN PetscErrorCode KSPGMRESGetCGSRefinementType(KSP,KSPGMRESCGSRefinementType*);
278 
279 PETSC_EXTERN PetscErrorCode KSPFGMRESModifyPCNoChange(KSP,PetscInt,PetscInt,PetscReal,void*);
280 PETSC_EXTERN PetscErrorCode KSPFGMRESModifyPCKSP(KSP,PetscInt,PetscInt,PetscReal,void*);
281 PETSC_EXTERN PetscErrorCode KSPFGMRESSetModifyPC(KSP,PetscErrorCode (*)(KSP,PetscInt,PetscInt,PetscReal,void*),void*,PetscErrorCode(*)(void*));
282 
283 PETSC_EXTERN PetscErrorCode KSPQCGSetTrustRegionRadius(KSP,PetscReal);
284 PETSC_EXTERN PetscErrorCode KSPQCGGetQuadratic(KSP,PetscReal*);
285 PETSC_EXTERN PetscErrorCode KSPQCGGetTrialStepNorm(KSP,PetscReal*);
286 
287 PETSC_EXTERN PetscErrorCode KSPBCGSLSetXRes(KSP,PetscReal);
288 PETSC_EXTERN PetscErrorCode KSPBCGSLSetPol(KSP,PetscBool );
289 PETSC_EXTERN PetscErrorCode KSPBCGSLSetEll(KSP,PetscInt);
290 PETSC_EXTERN PetscErrorCode KSPBCGSLSetUsePseudoinverse(KSP,PetscBool);
291 
292 PETSC_EXTERN PetscErrorCode KSPSetFromOptions(KSP);
293 PETSC_EXTERN PetscErrorCode KSPAddOptionsChecker(PetscErrorCode (*)(KSP));
294 
295 PETSC_EXTERN PetscErrorCode KSPMonitorSingularValue(KSP,PetscInt,PetscReal,void *);
296 PETSC_EXTERN PetscErrorCode KSPMonitorDefault(KSP,PetscInt,PetscReal,void *);
297 PETSC_EXTERN PetscErrorCode KSPLSQRMonitorDefault(KSP,PetscInt,PetscReal,void *);
298 PETSC_EXTERN PetscErrorCode KSPMonitorRange(KSP,PetscInt,PetscReal,void *);
299 PETSC_EXTERN PetscErrorCode KSPMonitorDynamicTolerance(KSP ksp,PetscInt its,PetscReal fnorm,void *dummy);
300 PETSC_EXTERN PetscErrorCode KSPMonitorDynamicToleranceDestroy(void **dummy);
301 PETSC_EXTERN PetscErrorCode KSPMonitorTrueResidualNorm(KSP,PetscInt,PetscReal,void *);
302 PETSC_EXTERN PetscErrorCode KSPMonitorTrueResidualMaxNorm(KSP,PetscInt,PetscReal,void *);
303 PETSC_EXTERN PetscErrorCode KSPMonitorDefaultShort(KSP,PetscInt,PetscReal,void *);
304 PETSC_EXTERN PetscErrorCode KSPMonitorSolution(KSP,PetscInt,PetscReal,void *);
305 PETSC_EXTERN PetscErrorCode KSPMonitorSAWs(KSP,PetscInt,PetscReal,void*);
306 PETSC_EXTERN PetscErrorCode KSPMonitorSAWsCreate(KSP,void**);
307 PETSC_EXTERN PetscErrorCode KSPMonitorSAWsDestroy(void**);
308 PETSC_EXTERN PetscErrorCode KSPGMRESMonitorKrylov(KSP,PetscInt,PetscReal,void *);
309 
310 PETSC_EXTERN PetscErrorCode KSPUnwindPreconditioner(KSP,Vec,Vec);
311 PETSC_EXTERN PetscErrorCode KSPInitialResidual(KSP,Vec,Vec,Vec,Vec,Vec);
312 
313 PETSC_EXTERN PetscErrorCode KSPSetOperators(KSP,Mat,Mat);
314 PETSC_EXTERN PetscErrorCode KSPGetOperators(KSP,Mat*,Mat*);
315 PETSC_EXTERN PetscErrorCode KSPGetOperatorsSet(KSP,PetscBool *,PetscBool *);
316 PETSC_EXTERN PetscErrorCode KSPSetOptionsPrefix(KSP,const char[]);
317 PETSC_EXTERN PetscErrorCode KSPAppendOptionsPrefix(KSP,const char[]);
318 PETSC_EXTERN PetscErrorCode KSPGetOptionsPrefix(KSP,const char*[]);
319 PETSC_EXTERN PetscErrorCode KSPSetTabLevel(KSP,PetscInt);
320 PETSC_EXTERN PetscErrorCode KSPGetTabLevel(KSP,PetscInt*);
321 
322 PETSC_EXTERN PetscErrorCode KSPSetDiagonalScale(KSP,PetscBool );
323 PETSC_EXTERN PetscErrorCode KSPGetDiagonalScale(KSP,PetscBool *);
324 PETSC_EXTERN PetscErrorCode KSPSetDiagonalScaleFix(KSP,PetscBool );
325 PETSC_EXTERN PetscErrorCode KSPGetDiagonalScaleFix(KSP,PetscBool *);
326 
327 PETSC_EXTERN PetscErrorCode KSPView(KSP,PetscViewer);
328 PETSC_EXTERN PetscErrorCode KSPLoad(KSP,PetscViewer);
329 PETSC_STATIC_INLINE PetscErrorCode KSPViewFromOptions(KSP A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
330 PETSC_EXTERN PetscErrorCode KSPReasonView(KSP,PetscViewer);
331 PETSC_EXTERN PetscErrorCode KSPReasonViewFromOptions(KSP);
332 
333 #define KSP_FILE_CLASSID 1211223
334 
335 PETSC_EXTERN PetscErrorCode KSPLSQRSetStandardErrorVec(KSP,Vec);
336 PETSC_EXTERN PetscErrorCode KSPLSQRGetStandardErrorVec(KSP,Vec*);
337 
338 PETSC_EXTERN PetscErrorCode PCRedundantGetKSP(PC,KSP*);
339 PETSC_EXTERN PetscErrorCode PCRedistributeGetKSP(PC,KSP*);
340 PETSC_EXTERN PetscErrorCode PCTelescopeGetKSP(PC,KSP*);
341 
342 /*E
343     KSPNormType - Norm that is passed in the Krylov convergence
344        test routines.
345 
346    Level: advanced
347 
348    Each solver only supports a subset of these and some may support different ones
349    depending on left or right preconditioning, see KSPSetPCSide()
350 
351    Notes: this must match petsc/finclude/petscksp.h
352 
353 .seealso: KSPSolve(), KSPGetConvergedReason(), KSPSetNormType(),
354           KSPSetConvergenceTest(), KSPSetPCSide()
355 E*/
356 typedef enum {KSP_NORM_DEFAULT = -1,KSP_NORM_NONE = 0,KSP_NORM_PRECONDITIONED = 1,KSP_NORM_UNPRECONDITIONED = 2,KSP_NORM_NATURAL = 3} KSPNormType;
357 #define KSP_NORM_MAX (KSP_NORM_NATURAL + 1)
358 PETSC_EXTERN const char *const*const KSPNormTypes;
359 
360 /*MC
361     KSP_NORM_NONE - Do not compute a norm during the Krylov process. This will
362           possibly save some computation but means the convergence test cannot
363           be based on a norm of a residual etc.
364 
365    Level: advanced
366 
367     Note: Some Krylov methods need to compute a residual norm (such as GMRES) and then this option is ignored
368 
369 .seealso: KSPNormType, KSPSetNormType(), KSP_NORM_PRECONDITIONED, KSP_NORM_UNPRECONDITIONED, KSP_NORM_NATURAL
370 M*/
371 
372 /*MC
373     KSP_NORM_PRECONDITIONED - Compute the norm of the preconditioned residual B*(b - A*x), if left preconditioning, and pass that to the
374        convergence test routine.
375 
376    Level: advanced
377 
378 .seealso: KSPNormType, KSPSetNormType(), KSP_NORM_NONE, KSP_NORM_UNPRECONDITIONED, KSP_NORM_NATURAL, KSPSetConvergenceTest()
379 M*/
380 
381 /*MC
382     KSP_NORM_UNPRECONDITIONED - Compute the norm of the true residual (b - A*x) and pass that to the
383        convergence test routine.
384 
385    Level: advanced
386 
387 .seealso: KSPNormType, KSPSetNormType(), KSP_NORM_NONE, KSP_NORM_PRECONDITIONED, KSP_NORM_NATURAL, KSPSetConvergenceTest()
388 M*/
389 
390 /*MC
391     KSP_NORM_NATURAL - Compute the 'natural norm' of residual sqrt((b - A*x)*B*(b - A*x)) and pass that to the
392        convergence test routine. This is only supported by  KSPCG, KSPCR, KSPCGNE, KSPCGS, KSPFCG, KSPPIPEFCG, KSPPIPEGCR
393 
394    Level: advanced
395 
396 .seealso: KSPNormType, KSPSetNormType(), KSP_NORM_NONE, KSP_NORM_PRECONDITIONED, KSP_NORM_UNPRECONDITIONED, KSPSetConvergenceTest()
397 M*/
398 
399 PETSC_EXTERN PetscErrorCode KSPSetNormType(KSP,KSPNormType);
400 PETSC_EXTERN PetscErrorCode KSPGetNormType(KSP,KSPNormType*);
401 PETSC_EXTERN PetscErrorCode KSPSetSupportedNorm(KSP ksp,KSPNormType,PCSide,PetscInt);
402 PETSC_EXTERN PetscErrorCode KSPSetCheckNormIteration(KSP,PetscInt);
403 PETSC_EXTERN PetscErrorCode KSPSetLagNorm(KSP,PetscBool);
404 
405 /*E
406     KSPConvergedReason - reason a Krylov method was said to have converged or diverged
407 
408    Level: beginner
409 
410    Notes: See KSPGetConvergedReason() for explanation of each value
411 
412    Developer notes: this must match petsc/finclude/petscksp.h
413 
414       The string versions of these are KSPConvergedReasons; if you change
415       any of the values here also change them that array of names.
416 
417 .seealso: KSPSolve(), KSPGetConvergedReason(), KSPSetTolerances()
418 E*/
419 typedef enum {/* converged */
420               KSP_CONVERGED_RTOL_NORMAL        =  1,
421               KSP_CONVERGED_ATOL_NORMAL        =  9,
422               KSP_CONVERGED_RTOL               =  2,
423               KSP_CONVERGED_ATOL               =  3,
424               KSP_CONVERGED_ITS                =  4,
425               KSP_CONVERGED_CG_NEG_CURVE       =  5,
426               KSP_CONVERGED_CG_CONSTRAINED     =  6,
427               KSP_CONVERGED_STEP_LENGTH        =  7,
428               KSP_CONVERGED_HAPPY_BREAKDOWN    =  8,
429               /* diverged */
430               KSP_DIVERGED_NULL                = -2,
431               KSP_DIVERGED_ITS                 = -3,
432               KSP_DIVERGED_DTOL                = -4,
433               KSP_DIVERGED_BREAKDOWN           = -5,
434               KSP_DIVERGED_BREAKDOWN_BICG      = -6,
435               KSP_DIVERGED_NONSYMMETRIC        = -7,
436               KSP_DIVERGED_INDEFINITE_PC       = -8,
437               KSP_DIVERGED_NANORINF            = -9,
438               KSP_DIVERGED_INDEFINITE_MAT      = -10,
439               KSP_DIVERGED_PCSETUP_FAILED      = -11,
440 
441               KSP_CONVERGED_ITERATING          =  0} KSPConvergedReason;
442 PETSC_EXTERN const char *const*KSPConvergedReasons;
443 
444 /*MC
445      KSP_CONVERGED_RTOL - norm(r) <= rtol*norm(b)
446 
447    Level: beginner
448 
449    See KSPNormType and KSPSetNormType() for possible norms that may be used. By default
450        for left preconditioning it is the 2-norm of the preconditioned residual, and the
451        2-norm of the residual for right preconditioning
452 
453 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
454 
455 M*/
456 
457 /*MC
458      KSP_CONVERGED_ATOL - norm(r) <= atol
459 
460    Level: beginner
461 
462    See KSPNormType and KSPSetNormType() for possible norms that may be used. By default
463        for left preconditioning it is the 2-norm of the preconditioned residual, and the
464        2-norm of the residual for right preconditioning
465 
466    Level: beginner
467 
468 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
469 
470 M*/
471 
472 /*MC
473      KSP_DIVERGED_DTOL - norm(r) >= dtol*norm(b)
474 
475    Level: beginner
476 
477    See KSPNormType and KSPSetNormType() for possible norms that may be used. By default
478        for left preconditioning it is the 2-norm of the preconditioned residual, and the
479        2-norm of the residual for right preconditioning
480 
481    Level: beginner
482 
483 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
484 
485 M*/
486 
487 /*MC
488      KSP_DIVERGED_ITS - Ran out of iterations before any convergence criteria was
489       reached
490 
491    Level: beginner
492 
493 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
494 
495 M*/
496 
497 /*MC
498      KSP_CONVERGED_ITS - Used by the KSPPREONLY solver after the single iteration of
499            the preconditioner is applied. Also used when the KSPConvergedSkip() convergence
500            test routine is set in KSP.
501 
502    Level: beginner
503 
504 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
505 
506 M*/
507 
508 /*MC
509      KSP_DIVERGED_BREAKDOWN - A breakdown in the Krylov method was detected so the
510           method could not continue to enlarge the Krylov space. Could be due to a singlular matrix or
511           preconditioner.
512 
513    Level: beginner
514 
515 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
516 
517 M*/
518 
519 /*MC
520      KSP_DIVERGED_BREAKDOWN_BICG - A breakdown in the KSPBICG method was detected so the
521           method could not continue to enlarge the Krylov space.
522 
523    Level: beginner
524 
525 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
526 
527 M*/
528 
529 /*MC
530      KSP_DIVERGED_NONSYMMETRIC - It appears the operator or preconditioner is not
531         symmetric and this Krylov method (KSPCG, KSPMINRES, KSPCR) requires symmetry
532 
533    Level: beginner
534 
535 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
536 
537 M*/
538 
539 /*MC
540      KSP_DIVERGED_INDEFINITE_PC - It appears the preconditioner is indefinite (has both
541         positive and negative eigenvalues) and this Krylov method (KSPCG) requires it to
542         be positive definite
543 
544    Level: beginner
545 
546      Notes: This can happen with the PCICC preconditioner, use -pc_factor_shift_positive_definite to force
547   the PCICC preconditioner to generate a positive definite preconditioner
548 
549 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
550 
551 M*/
552 
553 /*MC
554      KSP_CONVERGED_ITERATING - This flag is returned if you call KSPGetConvergedReason()
555         while the KSPSolve() is still running.
556 
557    Level: beginner
558 
559 .seealso:  KSPSolve(), KSPGetConvergedReason(), KSPConvergedReason, KSPSetTolerances()
560 
561 M*/
562 
563 PETSC_EXTERN PetscErrorCode KSPSetConvergenceTest(KSP,PetscErrorCode (*)(KSP,PetscInt,PetscReal,KSPConvergedReason*,void*),void *,PetscErrorCode (*)(void*));
564 PETSC_EXTERN PetscErrorCode KSPGetConvergenceContext(KSP,void **);
565 PETSC_EXTERN PetscErrorCode KSPConvergedDefault(KSP,PetscInt,PetscReal,KSPConvergedReason*,void *);
566 PETSC_EXTERN PetscErrorCode KSPConvergedLSQR(KSP,PetscInt,PetscReal,KSPConvergedReason*,void *);
567 PETSC_EXTERN PetscErrorCode KSPConvergedDefaultDestroy(void *);
568 PETSC_EXTERN PetscErrorCode KSPConvergedDefaultCreate(void **);
569 PETSC_EXTERN PetscErrorCode KSPConvergedDefaultSetUIRNorm(KSP);
570 PETSC_EXTERN PetscErrorCode KSPConvergedDefaultSetUMIRNorm(KSP);
571 PETSC_EXTERN PetscErrorCode KSPConvergedSkip(KSP,PetscInt,PetscReal,KSPConvergedReason*,void *);
572 PETSC_EXTERN PetscErrorCode KSPGetConvergedReason(KSP,KSPConvergedReason *);
573 
574 PETSC_DEPRECATED("Use KSPConvergedDefault()") PETSC_STATIC_INLINE void KSPDefaultConverged(void) { /* never called */ }
575 #define KSPDefaultConverged (KSPDefaultConverged, KSPConvergedDefault)
576 PETSC_DEPRECATED("Use KSPConvergedDefaultDestroy()") PETSC_STATIC_INLINE void KSPDefaultConvergedDestroy(void) { /* never called */ }
577 #define KSPDefaultConvergedDestroy (KSPDefaultConvergedDestroy, KSPConvergedDefaultDestroy)
578 PETSC_DEPRECATED("Use KSPConvergedDefaultCreate()") PETSC_STATIC_INLINE void KSPDefaultConvergedCreate(void) { /* never called */ }
579 #define KSPDefaultConvergedCreate (KSPDefaultConvergedCreate, KSPConvergedDefaultCreate)
580 PETSC_DEPRECATED("Use KSPConvergedDefaultSetUIRNorm()") PETSC_STATIC_INLINE void KSPDefaultConvergedSetUIRNorm(void) { /* never called */ }
581 #define KSPDefaultConvergedSetUIRNorm (KSPDefaultConvergedSetUIRNorm, KSPConvergedDefaultSetUIRNorm)
582 PETSC_DEPRECATED("Use KSPConvergedDefaultSetUMIRNorm()") PETSC_STATIC_INLINE void KSPDefaultConvergedSetUMIRNorm(void) { /* never called */ }
583 #define KSPDefaultConvergedSetUMIRNorm (KSPDefaultConvergedSetUMIRNorm, KSPConvergedDefaultSetUMIRNorm)
584 PETSC_DEPRECATED("Use KSPConvergedSkip()") PETSC_STATIC_INLINE void KSPSkipConverged(void) { /* never called */ }
585 #define KSPSkipConverged (KSPSkipConverged, KSPConvergedSkip)
586 
587 PETSC_EXTERN PetscErrorCode KSPComputeExplicitOperator(KSP,Mat *);
588 
589 /*E
590     KSPCGType - Determines what type of CG to use
591 
592    Level: beginner
593 
594 .seealso: KSPCGSetType()
595 E*/
596 typedef enum {KSP_CG_SYMMETRIC=0,KSP_CG_HERMITIAN=1} KSPCGType;
597 PETSC_EXTERN const char *const KSPCGTypes[];
598 
599 PETSC_EXTERN PetscErrorCode KSPCGSetType(KSP,KSPCGType);
600 PETSC_EXTERN PetscErrorCode KSPCGUseSingleReduction(KSP,PetscBool );
601 
602 PETSC_EXTERN PetscErrorCode KSPNASHSetRadius(KSP,PetscReal);
603 PETSC_EXTERN PetscErrorCode KSPNASHGetNormD(KSP,PetscReal *);
604 PETSC_EXTERN PetscErrorCode KSPNASHGetObjFcn(KSP,PetscReal *);
605 
606 PETSC_EXTERN PetscErrorCode KSPSTCGSetRadius(KSP,PetscReal);
607 PETSC_EXTERN PetscErrorCode KSPSTCGGetNormD(KSP,PetscReal *);
608 PETSC_EXTERN PetscErrorCode KSPSTCGGetObjFcn(KSP,PetscReal *);
609 
610 PETSC_EXTERN PetscErrorCode KSPGLTRSetRadius(KSP,PetscReal);
611 PETSC_EXTERN PetscErrorCode KSPGLTRGetNormD(KSP,PetscReal *);
612 PETSC_EXTERN PetscErrorCode KSPGLTRGetObjFcn(KSP,PetscReal *);
613 PETSC_EXTERN PetscErrorCode KSPGLTRGetMinEig(KSP,PetscReal *);
614 PETSC_EXTERN PetscErrorCode KSPGLTRGetLambda(KSP,PetscReal *);
615 
616 PETSC_EXTERN PetscErrorCode KSPPythonSetType(KSP,const char[]);
617 
618 PETSC_EXTERN PetscErrorCode PCPreSolve(PC,KSP);
619 PETSC_EXTERN PetscErrorCode PCPostSolve(PC,KSP);
620 
621 #include <petscdrawtypes.h>
622 PETSC_EXTERN PetscErrorCode KSPMonitorLGResidualNormCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscDrawLG*);
623 PETSC_EXTERN PetscErrorCode KSPMonitorLGResidualNorm(KSP,PetscInt,PetscReal,void*);
624 PETSC_EXTERN PetscErrorCode KSPMonitorLGTrueResidualNormCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscDrawLG*);
625 PETSC_EXTERN PetscErrorCode KSPMonitorLGTrueResidualNorm(KSP,PetscInt,PetscReal,void*);
626 PETSC_EXTERN PetscErrorCode KSPMonitorLGRange(KSP,PetscInt,PetscReal,void*);
627 
628 PETSC_EXTERN PetscErrorCode PCShellSetPreSolve(PC,PetscErrorCode (*)(PC,KSP,Vec,Vec));
629 PETSC_EXTERN PetscErrorCode PCShellSetPostSolve(PC,PetscErrorCode (*)(PC,KSP,Vec,Vec));
630 
631 /* see src/ksp/ksp/interface/iguess.c */
632 typedef struct _p_KSPFischerGuess {PetscInt method,curl,maxl,refcnt;PetscBool  monitor;Mat mat; KSP ksp;}* KSPFischerGuess;
633 
634 PETSC_EXTERN PetscErrorCode KSPFischerGuessCreate(KSP,PetscInt,PetscInt,KSPFischerGuess*);
635 PETSC_EXTERN PetscErrorCode KSPFischerGuessDestroy(KSPFischerGuess*);
636 PETSC_EXTERN PetscErrorCode KSPFischerGuessReset(KSPFischerGuess);
637 PETSC_EXTERN PetscErrorCode KSPFischerGuessUpdate(KSPFischerGuess,Vec);
638 PETSC_EXTERN PetscErrorCode KSPFischerGuessFormGuess(KSPFischerGuess,Vec,Vec);
639 PETSC_EXTERN PetscErrorCode KSPFischerGuessSetFromOptions(KSPFischerGuess);
640 
641 PETSC_EXTERN PetscErrorCode KSPSetUseFischerGuess(KSP,PetscInt,PetscInt);
642 PETSC_EXTERN PetscErrorCode KSPSetFischerGuess(KSP,KSPFischerGuess);
643 PETSC_EXTERN PetscErrorCode KSPGetFischerGuess(KSP,KSPFischerGuess*);
644 
645 /*E
646     MatSchurComplementAinvType - Determines how to approximate the inverse of the (0,0) block in Schur complement preconditioning matrix assembly routines
647 
648     Level: intermediate
649 
650 .seealso: MatSchurComplementGetAinvType(), MatSchurComplementSetAinvType(), MatSchurComplementGetPmat(), MatGetSchurComplement(), MatCreateSchurComplementPmat()
651 E*/
652 typedef enum {MAT_SCHUR_COMPLEMENT_AINV_DIAG, MAT_SCHUR_COMPLEMENT_AINV_LUMP} MatSchurComplementAinvType;
653 PETSC_EXTERN const char *const MatSchurComplementAinvTypes[];
654 
655 PETSC_EXTERN PetscErrorCode MatCreateSchurComplement(Mat,Mat,Mat,Mat,Mat,Mat*);
656 PETSC_EXTERN PetscErrorCode MatSchurComplementGetKSP(Mat,KSP*);
657 PETSC_EXTERN PetscErrorCode MatSchurComplementSetKSP(Mat,KSP);
658 PETSC_EXTERN PetscErrorCode MatSchurComplementSetSubMatrices(Mat,Mat,Mat,Mat,Mat,Mat);
659 PETSC_EXTERN PetscErrorCode MatSchurComplementUpdateSubMatrices(Mat,Mat,Mat,Mat,Mat,Mat);
660 PETSC_EXTERN PetscErrorCode MatSchurComplementGetSubMatrices(Mat,Mat*,Mat*,Mat*,Mat*,Mat*);
661 PETSC_EXTERN PetscErrorCode MatSchurComplementSetAinvType(Mat,MatSchurComplementAinvType);
662 PETSC_EXTERN PetscErrorCode MatSchurComplementGetAinvType(Mat,MatSchurComplementAinvType*);
663 PETSC_EXTERN PetscErrorCode MatSchurComplementGetPmat(Mat,MatReuse,Mat*);
664 PETSC_EXTERN PetscErrorCode MatSchurComplementComputeExplicitOperator(Mat,Mat*);
665 PETSC_EXTERN PetscErrorCode MatGetSchurComplement(Mat,IS,IS,IS,IS,MatReuse,Mat *,MatSchurComplementAinvType,MatReuse,Mat *);
666 PETSC_EXTERN PetscErrorCode MatCreateSchurComplementPmat(Mat,Mat,Mat,Mat,MatSchurComplementAinvType,MatReuse,Mat*);
667 
668 PETSC_EXTERN PetscErrorCode KSPSetDM(KSP,DM);
669 PETSC_EXTERN PetscErrorCode KSPSetDMActive(KSP,PetscBool );
670 PETSC_EXTERN PetscErrorCode KSPGetDM(KSP,DM*);
671 PETSC_EXTERN PetscErrorCode KSPSetApplicationContext(KSP,void*);
672 PETSC_EXTERN PetscErrorCode KSPGetApplicationContext(KSP,void*);
673 PETSC_EXTERN PetscErrorCode KSPSetComputeRHS(KSP,PetscErrorCode (*func)(KSP,Vec,void*),void *);
674 PETSC_EXTERN PetscErrorCode KSPSetComputeOperators(KSP,PetscErrorCode(*)(KSP,Mat,Mat,void*),void*);
675 PETSC_EXTERN PetscErrorCode KSPSetComputeInitialGuess(KSP,PetscErrorCode(*)(KSP,Vec,void*),void*);
676 PETSC_EXTERN PetscErrorCode DMKSPSetComputeOperators(DM,PetscErrorCode(*)(KSP,Mat,Mat,void*),void*);
677 PETSC_EXTERN PetscErrorCode DMKSPGetComputeOperators(DM,PetscErrorCode(**)(KSP,Mat,Mat,void*),void*);
678 PETSC_EXTERN PetscErrorCode DMKSPSetComputeRHS(DM,PetscErrorCode(*)(KSP,Vec,void*),void*);
679 PETSC_EXTERN PetscErrorCode DMKSPGetComputeRHS(DM,PetscErrorCode(**)(KSP,Vec,void*),void*);
680 PETSC_EXTERN PetscErrorCode DMKSPSetComputeInitialGuess(DM,PetscErrorCode(*)(KSP,Vec,void*),void*);
681 PETSC_EXTERN PetscErrorCode DMKSPGetComputeInitialGuess(DM,PetscErrorCode(**)(KSP,Vec,void*),void*);
682 
683 PETSC_EXTERN PetscErrorCode DMGlobalToLocalSolve(DM,Vec,Vec);
684 PETSC_EXTERN PetscErrorCode DMPlexProjectField(DM, Vec, void (**)(const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscReal [], PetscScalar []), InsertMode, Vec);
685 #endif
686