Actual source code: petscdm.h
1: /*
2: Objects to manage the interactions between the mesh data structures and the algebraic objects
3: */
4: #ifndef PETSCDM_H
5: #define PETSCDM_H
6: #include <petscmat.h>
7: #include <petscdmtypes.h>
8: #include <petscfetypes.h>
9: #include <petscdstypes.h>
10: #include <petscdmlabel.h>
12: /* SUBMANSEC = DM */
14: PETSC_EXTERN PetscErrorCode DMInitializePackage(void);
16: PETSC_EXTERN PetscClassId DM_CLASSID;
17: PETSC_EXTERN PetscClassId DMLABEL_CLASSID;
19: #define DMLOCATEPOINT_POINT_NOT_FOUND -367
21: /*J
22: DMType - String with the name of a PETSc `DM`
24: Level: beginner
26: .seealso: `DMSetType()`, `DM`
27: J*/
28: typedef const char *DMType;
29: #define DMDA "da"
30: #define DMCOMPOSITE "composite"
31: #define DMSLICED "sliced"
32: #define DMSHELL "shell"
33: #define DMPLEX "plex"
34: #define DMREDUNDANT "redundant"
35: #define DMPATCH "patch"
36: #define DMMOAB "moab"
37: #define DMNETWORK "network"
38: #define DMFOREST "forest"
39: #define DMP4EST "p4est"
40: #define DMP8EST "p8est"
41: #define DMSWARM "swarm"
42: #define DMPRODUCT "product"
43: #define DMSTAG "stag"
45: PETSC_EXTERN const char *const DMBoundaryTypes[];
46: PETSC_EXTERN const char *const DMBoundaryConditionTypes[];
47: PETSC_EXTERN PetscFunctionList DMList;
48: PETSC_EXTERN DMGeneratorFunctionList DMGenerateList;
49: PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *);
50: PETSC_EXTERN PetscErrorCode DMClone(DM, DM *);
51: PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType);
52: PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *);
53: PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM));
54: PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void);
56: PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer);
57: PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer);
58: PETSC_EXTERN PetscErrorCode DMDestroy(DM *);
59: PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *);
60: PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *);
61: PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *);
62: PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *);
63: PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *);
64: PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *);
65: PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM);
66: PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM);
67: PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *);
68: PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *);
69: PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *);
70: PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *);
71: PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *);
72: PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *);
73: PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *);
74: PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **);
75: PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *);
76: PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *);
77: PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *);
78: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool);
79: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool);
80: PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool);
81: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *);
82: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *);
83: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *);
84: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *);
85: PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *);
86: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *);
87: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *);
88: PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *);
89: PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *);
90: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *);
91: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM);
92: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *);
93: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM);
94: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]);
95: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]);
96: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
97: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
98: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
99: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
100: PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM);
101: PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM);
102: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec);
103: PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *);
104: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
105: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]);
107: PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *);
108: PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt);
109: PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void);
110: PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void);
111: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *);
112: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *);
114: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
115: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *);
116: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM, DM, Mat *);
117: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
118: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
119: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec);
120: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec);
121: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec);
122: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec);
123: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec);
124: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec);
125: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec);
126: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec);
127: PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *);
129: /* Topology support */
130: PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *);
131: PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt);
132: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *);
133: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *);
134: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool);
135: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **);
137: /* Coordinate support */
138: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *);
139: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM);
140: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *);
141: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM);
142: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *);
143: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt);
144: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *);
145: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection);
146: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *);
147: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection);
148: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *);
149: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec);
150: PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *);
151: PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec);
152: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
153: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *);
154: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *);
155: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *);
156: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec);
157: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM);
158: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *);
159: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *);
160: PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec);
161: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *);
162: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField);
163: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]);
164: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]);
165: PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM, PetscFE);
166: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *);
168: /* Periodicity support */
169: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
170: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]);
171: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
172: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
173: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *);
174: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *);
176: /* block hook interface */
177: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
178: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
179: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM);
181: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]);
182: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]);
183: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]);
184: PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType);
185: PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *);
186: PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType);
187: PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *);
188: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType);
189: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *);
190: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *);
191: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **));
192: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *);
193: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec));
194: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *);
195: PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *);
196: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *);
197: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *);
198: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec);
200: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
201: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
202: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
203: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *);
204: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **);
205: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **);
206: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);
208: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *);
209: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt);
210: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *);
211: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt);
212: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);
214: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *);
215: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
216: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *);
217: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
218: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring);
220: typedef struct NLF_DAAD *NLF;
222: #define DM_FILE_CLASSID 1211221
224: /* FEM support */
225: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]);
226: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]);
227: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec);
229: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
230: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
231: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
232: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
234: PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */
235: PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */
236: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
237: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
238: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
239: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
240: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s)
241: {
242: return DMGetSection(dm, s);
243: }
244: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s)
245: {
246: return DMSetSection(dm, s);
247: }
248: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s)
249: {
250: return DMGetGlobalSection(dm, s);
251: }
252: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s)
253: {
254: return DMSetGlobalSection(dm, s);
255: }
257: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *);
258: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
259: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
260: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s)
261: {
262: return DMGetSectionSF(dm, s);
263: }
264: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s)
265: {
266: return DMSetSectionSF(dm, s);
267: }
268: static inline PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g)
269: {
270: return DMCreateSectionSF(dm, l, g);
271: }
272: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
273: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
274: PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *);
275: PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF);
277: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *);
278: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec);
280: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
281: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
282: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
283: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *);
285: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
286: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
287: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
288: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
289: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
290: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
291: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
292: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
293: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM);
294: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
295: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
296: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
297: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);
299: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
300: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
301: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *);
302: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *);
303: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS);
304: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *);
305: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS);
306: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
307: PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *);
308: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
309: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
310: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM);
311: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
312: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
313: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
314: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *);
315: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec);
316: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]);
317: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);
319: /*MC
320: DMInterpolationInfo - Structure for holding information about interpolation on a mesh
322: Level: intermediate
324: Synopsis:
325: comm - The communicator
326: dim - The spatial dimension of points
327: nInput - The number of input points
328: points - The input point coordinates
329: cells - The cell containing each point
330: n - The number of local points
331: coords - The point coordinates
332: dof - The number of components to interpolate
334: .seealso: `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()`
335: M*/
336: struct _DMInterpolationInfo {
337: MPI_Comm comm;
338: PetscInt dim; /*1 The spatial dimension of points */
339: PetscInt nInput; /* The number of input points */
340: PetscReal *points; /* The input point coordinates */
341: PetscInt *cells; /* The cell containing each point */
342: PetscInt n; /* The number of local points */
343: Vec coords; /* The point coordinates */
344: PetscInt dof; /* The number of components to interpolate */
345: };
346: typedef struct _DMInterpolationInfo *DMInterpolationInfo;
348: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
349: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
350: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
351: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
352: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
353: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
354: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
355: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
356: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
357: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
358: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
359: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);
361: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]);
362: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
363: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
364: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
365: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
366: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
367: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *);
368: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *);
369: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS);
370: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
371: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
372: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
373: PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *);
375: /*E
376: DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination DMs with the same name
378: Level: advanced
380: $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source
381: $ DM_COPY_LABELS_KEEP - keep destination label
382: $ DM_COPY_LABELS_FAIL - throw error
384: E*/
385: typedef enum {
386: DM_COPY_LABELS_REPLACE,
387: DM_COPY_LABELS_KEEP,
388: DM_COPY_LABELS_FAIL
389: } DMCopyLabelsMode;
390: PETSC_EXTERN const char *const DMCopyLabelsModes[];
392: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
393: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **);
394: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *);
395: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
396: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
397: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
398: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
399: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *);
400: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
401: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode);
402: PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **);
404: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
405: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);
407: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
408: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
409: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
410: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
411: PETSC_EXTERN PetscErrorCode DMProjectFieldLocal(DM, PetscReal, Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
412: PETSC_EXTERN PetscErrorCode DMProjectFieldLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
413: PETSC_EXTERN PetscErrorCode DMProjectFieldLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
414: PETSC_EXTERN PetscErrorCode DMProjectBdFieldLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
415: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
416: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
417: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
418: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
419: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *);
420: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);
422: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *);
424: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **));
425: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
426: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
427: PETSC_EXTERN PetscErrorCode DMMonitor(DM);
429: static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
430: {
431: switch (ct) {
432: case DM_POLYTOPE_POINT:
433: return 0;
434: case DM_POLYTOPE_SEGMENT:
435: case DM_POLYTOPE_POINT_PRISM_TENSOR:
436: return 1;
437: case DM_POLYTOPE_TRIANGLE:
438: case DM_POLYTOPE_QUADRILATERAL:
439: case DM_POLYTOPE_SEG_PRISM_TENSOR:
440: return 2;
441: case DM_POLYTOPE_TETRAHEDRON:
442: case DM_POLYTOPE_HEXAHEDRON:
443: case DM_POLYTOPE_TRI_PRISM:
444: case DM_POLYTOPE_TRI_PRISM_TENSOR:
445: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
446: case DM_POLYTOPE_PYRAMID:
447: return 3;
448: default:
449: return -1;
450: }
451: }
453: static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
454: {
455: switch (ct) {
456: case DM_POLYTOPE_POINT:
457: return 0;
458: case DM_POLYTOPE_SEGMENT:
459: return 2;
460: case DM_POLYTOPE_POINT_PRISM_TENSOR:
461: return 2;
462: case DM_POLYTOPE_TRIANGLE:
463: return 3;
464: case DM_POLYTOPE_QUADRILATERAL:
465: return 4;
466: case DM_POLYTOPE_SEG_PRISM_TENSOR:
467: return 4;
468: case DM_POLYTOPE_TETRAHEDRON:
469: return 4;
470: case DM_POLYTOPE_HEXAHEDRON:
471: return 6;
472: case DM_POLYTOPE_TRI_PRISM:
473: return 5;
474: case DM_POLYTOPE_TRI_PRISM_TENSOR:
475: return 5;
476: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
477: return 6;
478: case DM_POLYTOPE_PYRAMID:
479: return 5;
480: default:
481: return -1;
482: }
483: }
485: static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
486: {
487: switch (ct) {
488: case DM_POLYTOPE_POINT:
489: return 1;
490: case DM_POLYTOPE_SEGMENT:
491: return 2;
492: case DM_POLYTOPE_POINT_PRISM_TENSOR:
493: return 2;
494: case DM_POLYTOPE_TRIANGLE:
495: return 3;
496: case DM_POLYTOPE_QUADRILATERAL:
497: return 4;
498: case DM_POLYTOPE_SEG_PRISM_TENSOR:
499: return 4;
500: case DM_POLYTOPE_TETRAHEDRON:
501: return 4;
502: case DM_POLYTOPE_HEXAHEDRON:
503: return 8;
504: case DM_POLYTOPE_TRI_PRISM:
505: return 6;
506: case DM_POLYTOPE_TRI_PRISM_TENSOR:
507: return 6;
508: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
509: return 8;
510: case DM_POLYTOPE_PYRAMID:
511: return 5;
512: default:
513: return -1;
514: }
515: }
517: static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
518: {
519: return dim == 0 ? DM_POLYTOPE_POINT : (dim == 1 ? DM_POLYTOPE_SEGMENT : (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) : (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN)));
520: }
522: static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct)
523: {
524: switch (ct) {
525: case DM_POLYTOPE_POINT:
526: return 1;
527: case DM_POLYTOPE_SEGMENT:
528: return 2;
529: case DM_POLYTOPE_POINT_PRISM_TENSOR:
530: return 2;
531: case DM_POLYTOPE_TRIANGLE:
532: return 6;
533: case DM_POLYTOPE_QUADRILATERAL:
534: return 8;
535: case DM_POLYTOPE_SEG_PRISM_TENSOR:
536: return 4;
537: case DM_POLYTOPE_TETRAHEDRON:
538: return 24;
539: case DM_POLYTOPE_HEXAHEDRON:
540: return 48;
541: case DM_POLYTOPE_TRI_PRISM:
542: return 12;
543: case DM_POLYTOPE_TRI_PRISM_TENSOR:
544: return 12;
545: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
546: return 16;
547: case DM_POLYTOPE_PYRAMID:
548: return 8;
549: default:
550: return -1;
551: }
552: }
554: /* An arrangement is a face order combined with an orientation for each face */
555: static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o)
556: {
557: static const PetscInt pntArr[1 * 2] = {0, 0};
558: /* a: swap */
559: static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */
560: 0, 0, 1, 0,
561: /* 0: e */};
562: /* a: swap first two
563: b: swap last two */
564: static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */
565: 2, -1, 1, -1, 0, -1, /* -2: aba */
566: 1, -1, 0, -1, 2, -1, /* -1: a */
567: 0, 0, 1, 0, 2, 0, /* 0: identity */
568: 1, 0, 2, 0, 0, 0, /* 1: ba */
569: 2, 0, 0, 0, 1, 0,
570: /* 2: ab */};
571: /* a: forward cyclic permutation
572: b: swap first and last pairs */
573: static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
574: 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
575: 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
576: 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */
577: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
578: 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */
579: 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */
580: 3, 0, 0, 0, 1, 0, 2, 0,
581: /* 3: a^3 */};
582: /* r: rotate 180
583: b: swap top and bottom segments */
584: static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
585: 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */
586: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
587: 1, 0, 0, 0, 2, -1, 3, -1,
588: /* 1: b */};
589: /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
590: static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */
591: 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */
592: 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */
593: 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */
594: 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */
595: 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */
596: 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */
597: 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */
598: 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */
599: 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */
600: 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */
601: 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */
602: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */
603: 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */
604: 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */
605: 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */
606: 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */
607: 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */
608: 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */
609: 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */
610: 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */
611: 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */
612: 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */
613: 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */};
614: /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
615: static const PetscInt hexArr[48 * 6 * 2] = {
616: 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
617: 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
618: 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
619: 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
620: 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
621: 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
622: 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
623: 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
624: 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
625: 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
626: 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
627: 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
628: 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
629: 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
630: 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
631: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */
632: 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */
633: 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */
634: 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */
635: 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */
636: 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */
637: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */
638: 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */
639: 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */
640: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
641: 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */
642: 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */
643: 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */
644: 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */
645: 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */
646: 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */
647: 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */
648: 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */
649: 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */
650: 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */
651: 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */
652: 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */
653: 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */
654: 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */
655: 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */
656: 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */
657: 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */
658: 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */
659: 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */
660: 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */
661: 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
662: 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */
663: 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */
664: };
665: static const PetscInt tripArr[12 * 5 * 2] = {
666: 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
667: 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
668: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
669: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
670: 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
671: 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
672: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
673: 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */
674: 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */
675: 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */
676: 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */
677: 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */
678: };
679: /* a: rotate 120 about z
680: b: swap top and bottom segments
681: r: reflect */
682: static const PetscInt ttriArr[12 * 5 * 2] = {
683: 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
684: 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
685: 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
686: 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
687: 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
688: 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
689: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
690: 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */
691: 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */
692: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */
693: 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */
694: 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */
695: };
696: /* a: rotate 90 about z
697: b: swap top and bottom segments
698: r: reflect */
699: static const PetscInt tquadArr[16 * 6 * 2] = {
700: 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
701: 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
702: 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
703: 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
704: 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
705: 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
706: 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
707: 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
708: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
709: 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */
710: 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */
711: 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */
712: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */
713: 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */
714: 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */
715: 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */
716: };
717: static const PetscInt pyrArr[8 * 5 * 2] = {
718: 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
719: 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
720: 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
721: 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
722: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
723: 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */
724: 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */
725: 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */
726: };
727: switch (ct) {
728: case DM_POLYTOPE_POINT:
729: return pntArr;
730: case DM_POLYTOPE_SEGMENT:
731: return &segArr[(o + 1) * 2 * 2];
732: case DM_POLYTOPE_POINT_PRISM_TENSOR:
733: return &segArr[(o + 1) * 2 * 2];
734: case DM_POLYTOPE_TRIANGLE:
735: return &triArr[(o + 3) * 3 * 2];
736: case DM_POLYTOPE_QUADRILATERAL:
737: return &quadArr[(o + 4) * 4 * 2];
738: case DM_POLYTOPE_SEG_PRISM_TENSOR:
739: return &tsegArr[(o + 2) * 4 * 2];
740: case DM_POLYTOPE_TETRAHEDRON:
741: return &tetArr[(o + 12) * 4 * 2];
742: case DM_POLYTOPE_HEXAHEDRON:
743: return &hexArr[(o + 24) * 6 * 2];
744: case DM_POLYTOPE_TRI_PRISM:
745: return &tripArr[(o + 6) * 5 * 2];
746: case DM_POLYTOPE_TRI_PRISM_TENSOR:
747: return &ttriArr[(o + 6) * 5 * 2];
748: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
749: return &tquadArr[(o + 8) * 6 * 2];
750: case DM_POLYTOPE_PYRAMID:
751: return &pyrArr[(o + 4) * 5 * 2];
752: default:
753: return NULL;
754: }
755: }
757: /* A vertex arrangement is a vertex order */
758: static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o)
759: {
760: static const PetscInt pntVerts[1] = {0};
761: static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1};
762: static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1};
763: static const PetscInt quadVerts[8 * 4] = {2, 1, 0, 3, 1, 0, 3, 2, 0, 3, 2, 1, 3, 2, 1, 0, 0, 1, 2, 3, 1, 2, 3, 0, 2, 3, 0, 1, 3, 0, 1, 2};
764: static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1};
765: static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */
766: 3, 1, 2, 0, /* -11: (14) p21 */
767: 1, 2, 3, 0, /* -10: (1234) p18 */
768: 3, 2, 0, 1, /* -9: (1423) p17 */
769: 2, 0, 3, 1, /* -8: (1342) p13 */
770: 0, 3, 2, 1, /* -7: (24) p14 */
771: 0, 1, 3, 2, /* -6: (34) p6 */
772: 1, 3, 0, 2, /* -5: (1243) p10 */
773: 3, 0, 1, 2, /* -4: (1432 p9 */
774: 1, 0, 2, 3, /* -3: (12) p1 */
775: 0, 2, 1, 3, /* -2: (23) p2 */
776: 2, 1, 0, 3, /* -1: (13) p5 */
777: 0, 1, 2, 3, /* 0: () p0 */
778: 1, 2, 0, 3, /* 1: (123) p4 */
779: 2, 0, 1, 3, /* 2: (132) p3 */
780: 1, 0, 3, 2, /* 3: (12)(34) p7 */
781: 0, 3, 1, 2, /* 4: (243) p8 */
782: 3, 1, 0, 2, /* 5: (143) p11 */
783: 2, 3, 0, 1, /* 6: (13)(24) p16 */
784: 3, 0, 2, 1, /* 7: (142) p15 */
785: 0, 2, 3, 1, /* 8: (234) p12 */
786: 3, 2, 1, 0, /* 9: (14)(23) p23 */
787: 2, 1, 3, 0, /* 10: (134) p19 */
788: 1, 3, 2, 0 /* 11: (124) p20 */};
789: static const PetscInt hexVerts[48 * 8] = {
790: 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
791: 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
792: 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
793: 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
794: 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
795: 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
796: 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
797: 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
798: 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
799: 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
800: 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
801: 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
802: 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
803: 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
804: 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */
805: 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */
806: 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */
807: 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */
808: 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */
809: 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */
810: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */
811: 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */
812: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */
813: 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */
814: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
815: 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */
816: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */
817: 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */
818: 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */
819: 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */
820: 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */
821: 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */
822: 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */
823: 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */
824: 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */
825: 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */
826: 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */
827: 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */
828: 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */
829: 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */
830: 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */
831: 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */
832: 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */
833: 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */
834: 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */
835: 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
836: 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */
837: 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */
838: };
839: static const PetscInt tripVerts[12 * 6] = {
840: 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
841: 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
842: 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
843: 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
844: 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
845: 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
846: 0, 1, 2, 3, 4, 5, /* 0: identity */
847: 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */
848: 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */
849: 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */
850: 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */
851: 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */
852: };
853: static const PetscInt ttriVerts[12 * 6] = {
854: 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
855: 3, 5, 4, 0, 2, 1, /* -5: r b a */
856: 5, 4, 3, 2, 1, 0, /* -4: r b */
857: 1, 0, 2, 4, 3, 5, /* -3: r a^2 */
858: 0, 2, 1, 3, 5, 4, /* -2: r a */
859: 2, 1, 0, 5, 4, 3, /* -1: r */
860: 0, 1, 2, 3, 4, 5, /* 0: identity */
861: 1, 2, 0, 4, 5, 3, /* 1: a */
862: 2, 0, 1, 5, 3, 4, /* 2: a^2 */
863: 3, 4, 5, 0, 1, 2, /* 3: b */
864: 4, 5, 3, 1, 2, 0, /* 4: b a */
865: 5, 3, 4, 2, 0, 1, /* 5: b a^2 */
866: };
867: /* a: rotate 90 about z
868: b: swap top and bottom segments
869: r: reflect */
870: static const PetscInt tquadVerts[16 * 8] = {
871: 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
872: 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
873: 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
874: 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
875: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
876: 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
877: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
878: 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
879: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
880: 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */
881: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */
882: 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */
883: 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */
884: 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */
885: 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */
886: 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */
887: };
888: static const PetscInt pyrVerts[8 * 5] = {
889: 2, 1, 0, 3, 4, /* -4: Reflect bottom face */
890: 1, 0, 3, 2, 4, /* -3: Reflect bottom face */
891: 0, 3, 2, 1, 4, /* -2: Reflect bottom face */
892: 3, 2, 1, 0, 4, /* -1: Reflect bottom face */
893: 0, 1, 2, 3, 4, /* 0: identity */
894: 1, 2, 3, 0, 4, /* 1: 90 rotation about z */
895: 2, 3, 0, 1, 4, /* 2: 180 rotation about z */
896: 3, 0, 1, 2, 4, /* 3: 270 rotation about z */
897: };
898: switch (ct) {
899: case DM_POLYTOPE_POINT:
900: return pntVerts;
901: case DM_POLYTOPE_SEGMENT:
902: return &segVerts[(o + 1) * 2];
903: case DM_POLYTOPE_POINT_PRISM_TENSOR:
904: return &segVerts[(o + 1) * 2];
905: case DM_POLYTOPE_TRIANGLE:
906: return &triVerts[(o + 3) * 3];
907: case DM_POLYTOPE_QUADRILATERAL:
908: return &quadVerts[(o + 4) * 4];
909: case DM_POLYTOPE_SEG_PRISM_TENSOR:
910: return &tsegVerts[(o + 2) * 4];
911: case DM_POLYTOPE_TETRAHEDRON:
912: return &tetVerts[(o + 12) * 4];
913: case DM_POLYTOPE_HEXAHEDRON:
914: return &hexVerts[(o + 24) * 8];
915: case DM_POLYTOPE_TRI_PRISM:
916: return &tripVerts[(o + 6) * 6];
917: case DM_POLYTOPE_TRI_PRISM_TENSOR:
918: return &ttriVerts[(o + 6) * 6];
919: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
920: return &tquadVerts[(o + 8) * 8];
921: case DM_POLYTOPE_PYRAMID:
922: return &pyrVerts[(o + 4) * 5];
923: default:
924: return NULL;
925: }
926: }
928: /* This is orientation o1 acting on orientation o2 */
929: static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
930: {
931: static const PetscInt segMult[2 * 2] = {0, -1, -1, 0};
932: static const PetscInt triMult[6 * 6] = {0, 2, 1, -3, -1, -2, 1, 0, 2, -2, -3, -1, 2, 1, 0, -1, -2, -3, -3, -2, -1, 0, 1, 2, -2, -1, -3, 1, 2, 0, -1, -3, -2, 2, 0, 1};
933: static const PetscInt quadMult[8 * 8] = {0, 3, 2, 1, -4, -1, -2, -3, 1, 0, 3, 2, -3, -4, -1, -2, 2, 1, 0, 3, -2, -3, -4, -1, 3, 2, 1, 0, -1, -2, -3, -4,
934: -4, -3, -2, -1, 0, 1, 2, 3, -3, -2, -1, -4, 1, 2, 3, 0, -2, -1, -4, -3, 2, 3, 0, 1, -1, -4, -3, -2, 3, 0, 1, 2};
935: static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0};
936: static const PetscInt tetMult[24 * 24] = {
937: 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8, 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7,
938: 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9, 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2,
939: 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1, 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3,
940: 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5, 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4,
941: 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6, 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11,
942: 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12,
943: -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9,
944: -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5,
945: -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3, -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4,
946: -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2, -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0,
947: -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1, -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8,
948: -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6, -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7,
949: };
950: static const PetscInt hexMult[48 * 48] = {
951: 18, 2, 5, 22, 21, 8, 16, 0, 13, 6, 11, 3, 15, 9, 4, 23, 12, 1, 19, 10, 7, 20, 14, 17, -24, -10, -20, -16, -12, -21, -4, -5, -18, -13, -15, -8, -2, -11, -14, -7, -3, -22, -6, -17, -19, -9, -1, -23,
952: 8, 20, 19, 2, 5, 23, 0, 17, 11, 1, 15, 7, 13, 4, 10, 18, 3, 14, 21, 9, 12, 22, 6, 16, -23, -13, -17, -7, -8, -19, -16, -12, -22, -2, -14, -5, -10, -15, -11, -4, -20, -9, -21, -3, -6, -18, -24, -1,
953: 2, 17, 23, 8, 0, 19, 5, 20, 1, 11, 9, 14, 12, 6, 3, 16, 10, 7, 22, 15, 13, 21, 4, 18, -22, -14, -19, -5, -15, -17, -10, -2, -23, -12, -13, -7, -16, -8, -4, -11, -24, -3, -18, -9, -1, -21, -20, -6,
954: 21, 5, 2, 16, 18, 0, 22, 8, 4, 12, 3, 11, 14, 7, 13, 20, 6, 10, 17, 1, 9, 23, 15, 19, -21, -8, -18, -15, -4, -24, -12, -14, -20, -7, -16, -10, -11, -2, -5, -13, -6, -19, -3, -23, -22, -1, -9, -17,
955: 16, 8, 0, 21, 22, 2, 18, 5, 12, 4, 1, 10, 9, 15, 6, 19, 13, 11, 23, 3, 14, 17, 7, 20, -20, -16, -24, -10, -2, -18, -11, -7, -21, -14, -8, -15, -12, -4, -13, -5, -9, -23, -1, -19, -17, -3, -6, -22,
956: 5, 19, 20, 0, 8, 17, 2, 23, 10, 3, 7, 15, 6, 12, 11, 22, 1, 9, 16, 14, 4, 18, 13, 21, -19, -5, -22, -14, -16, -23, -8, -11, -17, -4, -7, -13, -15, -10, -12, -2, -21, -6, -20, -1, -9, -24, -18, -3,
957: 22, 0, 8, 18, 16, 5, 21, 2, 6, 13, 10, 1, 7, 14, 12, 17, 4, 3, 20, 11, 15, 19, 9, 23, -18, -15, -21, -8, -11, -20, -2, -13, -24, -5, -10, -16, -4, -12, -7, -14, -1, -17, -9, -22, -23, -6, -3, -19,
958: 0, 23, 17, 5, 2, 20, 8, 19, 3, 10, 14, 9, 4, 13, 1, 21, 11, 15, 18, 7, 6, 16, 12, 22, -17, -7, -23, -13, -10, -22, -15, -4, -19, -11, -5, -14, -8, -16, -2, -12, -18, -1, -24, -6, -3, -20, -21, -9,
959: 10, 13, 6, 1, 11, 12, 3, 4, 8, 0, 22, 18, 19, 23, 5, 15, 2, 21, 9, 16, 17, 7, 20, 14, -16, -24, -10, -20, -23, -8, -19, -6, -15, -3, -21, -18, -22, -17, -9, -1, -14, -12, -7, -4, -11, -13, -5, -2,
960: 1, 4, 12, 10, 3, 6, 11, 13, 0, 8, 16, 21, 17, 20, 2, 14, 5, 18, 7, 22, 19, 9, 23, 15, -15, -21, -8, -18, -17, -10, -22, -3, -16, -6, -24, -20, -19, -23, -1, -9, -5, -4, -13, -12, -2, -7, -14, -11,
961: 14, 10, 3, 9, 7, 1, 15, 11, 17, 23, 0, 5, 16, 22, 20, 6, 19, 8, 12, 2, 21, 4, 18, 13, -14, -19, -5, -22, -3, -13, -9, -20, -7, -21, -23, -17, -6, -1, -24, -18, -12, -16, -2, -8, -10, -4, -11, -15,
962: 7, 3, 10, 15, 14, 11, 9, 1, 20, 19, 5, 0, 18, 21, 17, 4, 23, 2, 13, 8, 22, 6, 16, 12, -13, -17, -7, -23, -9, -14, -3, -24, -5, -18, -22, -19, -1, -6, -20, -21, -2, -10, -12, -15, -16, -11, -4, -8,
963: 13, 14, 15, 12, 4, 9, 6, 7, 21, 22, 23, 20, 2, 0, 18, 3, 16, 17, 1, 19, 8, 11, 5, 10, -12, -9, -11, -6, -21, -4, -24, -22, -2, -23, -3, -1, -20, -18, -19, -17, -16, -14, -15, -13, -5, -8, -10, -7,
964: 6, 9, 7, 4, 12, 14, 13, 15, 16, 18, 17, 19, 0, 2, 22, 1, 21, 23, 3, 20, 5, 10, 8, 11, -11, -6, -12, -9, -20, -2, -18, -17, -4, -19, -1, -3, -21, -24, -23, -22, -8, -7, -10, -5, -13, -16, -15, -14,
965: 3, 12, 4, 11, 1, 13, 10, 6, 2, 5, 21, 16, 23, 19, 0, 9, 8, 22, 15, 18, 20, 14, 17, 7, -10, -20, -16, -24, -22, -15, -17, -1, -8, -9, -18, -21, -23, -19, -3, -6, -13, -2, -5, -11, -4, -14, -7, -12,
966: 20, 16, 18, 23, 17, 21, 19, 22, 14, 15, 4, 6, 3, 1, 7, 0, 9, 12, 2, 13, 11, 5, 10, 8, -9, -11, -6, -12, -14, -3, -13, -10, -1, -8, -2, -4, -7, -5, -16, -15, -23, -20, -22, -18, -24, -19, -17, -21,
967: 11, 6, 13, 3, 10, 4, 1, 12, 5, 2, 18, 22, 20, 17, 8, 7, 0, 16, 14, 21, 23, 15, 19, 9, -8, -18, -15, -21, -19, -16, -23, -9, -10, -1, -20, -24, -17, -22, -6, -3, -7, -11, -14, -2, -12, -5, -13, -4,
968: 9, 11, 1, 14, 15, 3, 7, 10, 23, 17, 2, 8, 21, 18, 19, 13, 20, 5, 4, 0, 16, 12, 22, 6, -7, -23, -13, -17, -1, -5, -6, -21, -14, -20, -19, -22, -9, -3, -18, -24, -11, -8, -4, -16, -15, -2, -12, -10,
969: 19, 21, 22, 17, 23, 16, 20, 18, 9, 7, 12, 13, 1, 3, 15, 2, 14, 4, 0, 6, 10, 8, 11, 5, -6, -12, -9, -11, -7, -1, -5, -15, -3, -16, -4, -2, -14, -13, -8, -10, -19, -21, -17, -24, -18, -23, -22, -20,
970: 15, 1, 11, 7, 9, 10, 14, 3, 19, 20, 8, 2, 22, 16, 23, 12, 17, 0, 6, 5, 18, 13, 21, 4, -5, -22, -14, -19, -6, -7, -1, -18, -13, -24, -17, -23, -3, -9, -21, -20, -4, -15, -11, -10, -8, -12, -2, -16,
971: 4, 15, 14, 6, 13, 7, 12, 9, 18, 16, 20, 23, 5, 8, 21, 11, 22, 19, 10, 17, 0, 3, 2, 1, -4, -1, -2, -3, -24, -12, -21, -19, -11, -17, -6, -9, -18, -20, -22, -23, -15, -5, -16, -7, -14, -10, -8, -13,
972: 17, 18, 16, 19, 20, 22, 23, 21, 7, 9, 6, 4, 10, 11, 14, 5, 15, 13, 8, 12, 1, 0, 3, 2, -3, -4, -1, -2, -13, -9, -14, -16, -6, -15, -12, -11, -5, -7, -10, -8, -22, -24, -23, -21, -20, -17, -19, -18,
973: 12, 7, 9, 13, 6, 15, 4, 14, 22, 21, 19, 17, 8, 5, 16, 10, 18, 20, 11, 23, 2, 1, 0, 3, -2, -3, -4, -1, -18, -11, -20, -23, -12, -22, -9, -6, -24, -21, -17, -19, -10, -13, -8, -14, -7, -15, -16, -5,
974: 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24,
975: -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
976: -13, -8, -10, -14, -7, -16, -5, -15, -23, -22, -20, -18, -9, -6, -17, -11, -19, -21, -12, -24, -3, -2, -1, -4, 1, 2, 3, 0, 17, 10, 19, 22, 11, 21, 8, 5, 23, 20, 16, 18, 9, 12, 7, 13, 6, 14, 15, 4,
977: -18, -19, -17, -20, -21, -23, -24, -22, -8, -10, -7, -5, -11, -12, -15, -6, -16, -14, -9, -13, -2, -1, -4, -3, 2, 3, 0, 1, 12, 8, 13, 15, 5, 14, 11, 10, 4, 6, 9, 7, 21, 23, 22, 20, 19, 16, 18, 17,
978: -5, -16, -15, -7, -14, -8, -13, -10, -19, -17, -21, -24, -6, -9, -22, -12, -23, -20, -11, -18, -1, -4, -3, -2, 3, 0, 1, 2, 23, 11, 20, 18, 10, 16, 5, 8, 17, 19, 21, 22, 14, 4, 15, 6, 13, 9, 7, 12,
979: -16, -2, -12, -8, -10, -11, -15, -4, -20, -21, -9, -3, -23, -17, -24, -13, -18, -1, -7, -6, -19, -14, -22, -5, 4, 21, 13, 18, 5, 6, 0, 17, 12, 23, 16, 22, 2, 8, 20, 19, 3, 14, 10, 9, 7, 11, 1, 15,
980: -20, -22, -23, -18, -24, -17, -21, -19, -10, -8, -13, -14, -2, -4, -16, -3, -15, -5, -1, -7, -11, -9, -12, -6, 5, 11, 8, 10, 6, 0, 4, 14, 2, 15, 3, 1, 13, 12, 7, 9, 18, 20, 16, 23, 17, 22, 21, 19,
981: -10, -12, -2, -15, -16, -4, -8, -11, -24, -18, -3, -9, -22, -19, -20, -14, -21, -6, -5, -1, -17, -13, -23, -7, 6, 22, 12, 16, 0, 4, 5, 20, 13, 19, 18, 21, 8, 2, 17, 23, 10, 7, 3, 15, 14, 1, 11, 9,
982: -12, -7, -14, -4, -11, -5, -2, -13, -6, -3, -19, -23, -21, -18, -9, -8, -1, -17, -15, -22, -24, -16, -20, -10, 7, 17, 14, 20, 18, 15, 22, 8, 9, 0, 19, 23, 16, 21, 5, 2, 6, 10, 13, 1, 11, 4, 12, 3,
983: -21, -17, -19, -24, -18, -22, -20, -23, -15, -16, -5, -7, -4, -2, -8, -1, -10, -13, -3, -14, -12, -6, -11, -9, 8, 10, 5, 11, 13, 2, 12, 9, 0, 7, 1, 3, 6, 4, 15, 14, 22, 19, 21, 17, 23, 18, 16, 20,
984: -4, -13, -5, -12, -2, -14, -11, -7, -3, -6, -22, -17, -24, -20, -1, -10, -9, -23, -16, -19, -21, -15, -18, -8, 9, 19, 15, 23, 21, 14, 16, 0, 7, 8, 17, 20, 22, 18, 2, 5, 12, 1, 4, 10, 3, 13, 6, 11,
985: -7, -10, -8, -5, -13, -15, -14, -16, -17, -19, -18, -20, -1, -3, -23, -2, -22, -24, -4, -21, -6, -11, -9, -12, 10, 5, 11, 8, 19, 1, 17, 16, 3, 18, 0, 2, 20, 23, 22, 21, 7, 6, 9, 4, 12, 15, 14, 13,
986: -14, -15, -16, -13, -5, -10, -7, -8, -22, -23, -24, -21, -3, -1, -19, -4, -17, -18, -2, -20, -9, -12, -6, -11, 11, 8, 10, 5, 20, 3, 23, 21, 1, 22, 2, 0, 19, 17, 18, 16, 15, 13, 14, 12, 4, 7, 9, 6,
987: -8, -4, -11, -16, -15, -12, -10, -2, -21, -20, -6, -1, -19, -22, -18, -5, -24, -3, -14, -9, -23, -7, -17, -13, 12, 16, 6, 22, 8, 13, 2, 23, 4, 17, 21, 18, 0, 5, 19, 20, 1, 9, 11, 14, 15, 10, 3, 7,
988: -15, -11, -4, -10, -8, -2, -16, -12, -18, -24, -1, -6, -17, -23, -21, -7, -20, -9, -13, -3, -22, -5, -19, -14, 13, 18, 4, 21, 2, 12, 8, 19, 6, 20, 22, 16, 5, 0, 23, 17, 11, 15, 1, 7, 9, 3, 10, 14,
989: -2, -5, -13, -11, -4, -7, -12, -14, -1, -9, -17, -22, -18, -21, -3, -15, -6, -19, -8, -23, -20, -10, -24, -16, 14, 20, 7, 17, 16, 9, 21, 2, 15, 5, 23, 19, 18, 22, 0, 8, 4, 3, 12, 11, 1, 6, 13, 10,
990: -11, -14, -7, -2, -12, -13, -4, -5, -9, -1, -23, -19, -20, -24, -6, -16, -3, -22, -10, -17, -18, -8, -21, -15, 15, 23, 9, 19, 22, 7, 18, 5, 14, 2, 20, 17, 21, 16, 8, 0, 13, 11, 6, 3, 10, 12, 4, 1,
991: -1, -24, -18, -6, -3, -21, -9, -20, -4, -11, -15, -10, -5, -14, -2, -22, -12, -16, -19, -8, -7, -17, -13, -23, 16, 6, 22, 12, 9, 21, 14, 3, 18, 10, 4, 13, 7, 15, 1, 11, 17, 0, 23, 5, 2, 19, 20, 8,
992: -23, -1, -9, -19, -17, -6, -22, -3, -7, -14, -11, -2, -8, -15, -13, -18, -5, -4, -21, -12, -16, -20, -10, -24, 17, 14, 20, 7, 10, 19, 1, 12, 23, 4, 9, 15, 3, 11, 6, 13, 0, 16, 8, 21, 22, 5, 2, 18,
993: -6, -20, -21, -1, -9, -18, -3, -24, -11, -4, -8, -16, -7, -13, -12, -23, -2, -10, -17, -15, -5, -19, -14, -22, 18, 4, 21, 13, 15, 22, 7, 10, 16, 3, 6, 12, 14, 9, 11, 1, 20, 5, 19, 0, 8, 23, 17, 2,
994: -17, -9, -1, -22, -23, -3, -19, -6, -13, -5, -2, -11, -10, -16, -7, -20, -14, -12, -24, -4, -15, -18, -8, -21, 19, 15, 23, 9, 1, 17, 10, 6, 20, 13, 7, 14, 11, 3, 12, 4, 8, 22, 0, 18, 16, 2, 5, 21,
995: -22, -6, -3, -17, -19, -1, -23, -9, -5, -13, -4, -12, -15, -8, -14, -21, -7, -11, -18, -2, -10, -24, -16, -20, 20, 7, 17, 14, 3, 23, 11, 13, 19, 6, 15, 9, 10, 1, 4, 12, 5, 18, 2, 22, 21, 0, 8, 16,
996: -3, -18, -24, -9, -1, -20, -6, -21, -2, -12, -10, -15, -13, -7, -4, -17, -11, -8, -23, -16, -14, -22, -5, -19, 21, 13, 18, 4, 14, 16, 9, 1, 22, 11, 12, 6, 15, 7, 3, 10, 23, 2, 17, 8, 0, 20, 19, 5,
997: -9, -21, -20, -3, -6, -24, -1, -18, -12, -2, -16, -8, -14, -5, -11, -19, -4, -15, -22, -10, -13, -23, -7, -17, 22, 12, 16, 6, 7, 18, 15, 11, 21, 1, 13, 4, 9, 14, 10, 3, 19, 8, 20, 2, 5, 17, 23, 0,
998: -19, -3, -6, -23, -22, -9, -17, -1, -14, -7, -12, -4, -16, -10, -5, -24, -13, -2, -20, -11, -8, -21, -15, -18, 23, 9, 19, 15, 11, 20, 3, 4, 17, 12, 14, 7, 1, 10, 13, 6, 2, 21, 5, 16, 18, 8, 0, 22,
999: };
1000: static const PetscInt tripMult[12 * 12] = {
1001: 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1, 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2, 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4,
1002: 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4,
1003: -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3, -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1, -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0,
1004: };
1005: static const PetscInt ttriMult[12 * 12] = {
1006: 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2, 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1, 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5,
1007: 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3,
1008: -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0, -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1,
1009: };
1010: static const PetscInt tquadMult[16 * 16] = {
1011: 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3, 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2, 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1, 3, 2, 1, 0,
1012: 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4, 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7, 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6, 6, 5, 4, 7, 2, 1, 0, 3,
1013: -2, -3, -4, -1, -6, -7, -8, -5, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0,
1014: 5, 6, 7, 4, -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5, -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6, -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3,
1015: -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0, -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1, -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2,
1016: };
1017: static const PetscInt pyrMult[8 * 8] = {
1018: 0, 3, 2, 1, -4, -1, -2, -3, 1, 0, 3, 2, -3, -4, -1, -2, 2, 1, 0, 3, -2, -3, -4, -1, 3, 2, 1, 0, -1, -2, -3, -4, -4, -3, -2, -1, 0, 1, 2, 3, -3, -2, -1, -4, 1, 2, 3, 0, -2, -1, -4, -3, 2, 3, 0, 1, -1, -4, -3, -2, 3, 0, 1, 2,
1019: };
1020: switch (ct) {
1021: case DM_POLYTOPE_POINT:
1022: return 0;
1023: case DM_POLYTOPE_SEGMENT:
1024: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1025: return segMult[(o1 + 1) * 2 + o2 + 1];
1026: case DM_POLYTOPE_TRIANGLE:
1027: return triMult[(o1 + 3) * 6 + o2 + 3];
1028: case DM_POLYTOPE_QUADRILATERAL:
1029: return quadMult[(o1 + 4) * 8 + o2 + 4];
1030: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1031: return tsegMult[(o1 + 2) * 4 + o2 + 2];
1032: case DM_POLYTOPE_TETRAHEDRON:
1033: return tetMult[(o1 + 12) * 24 + o2 + 12];
1034: case DM_POLYTOPE_HEXAHEDRON:
1035: return hexMult[(o1 + 24) * 48 + o2 + 24];
1036: case DM_POLYTOPE_TRI_PRISM:
1037: return tripMult[(o1 + 6) * 12 + o2 + 6];
1038: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1039: return ttriMult[(o1 + 6) * 12 + o2 + 6];
1040: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1041: return tquadMult[(o1 + 8) * 16 + o2 + 8];
1042: case DM_POLYTOPE_PYRAMID:
1043: return pyrMult[(o1 + 4) * 8 + o2 + 4];
1044: default:
1045: return 0;
1046: }
1047: }
1049: /* This is orientation o1 acting on orientation o2^{-1} */
1050: static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
1051: {
1052: static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1};
1053: static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1054: static const PetscInt tetInv[24] = {-9, -11, -4, -12, -5, -7, -6, -8, -10, -3, -2, -1, 0, 2, 1, 3, 8, 10, 6, 11, 4, 9, 5, 7};
1055: static const PetscInt hexInv[48] = {-17, -18, -20, -19, -22, -21, -23, -24, -15, -16, -14, -13, -11, -12, -10, -9, -8, -5, -6, -7, -4, -3, -2, -1, 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22};
1056: static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1057: static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1058: static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1059: static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1060: switch (ct) {
1061: case DM_POLYTOPE_POINT:
1062: return 0;
1063: case DM_POLYTOPE_SEGMENT:
1064: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1065: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1066: case DM_POLYTOPE_TRIANGLE:
1067: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]);
1068: case DM_POLYTOPE_QUADRILATERAL:
1069: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]);
1070: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1071: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1072: case DM_POLYTOPE_TETRAHEDRON:
1073: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]);
1074: case DM_POLYTOPE_HEXAHEDRON:
1075: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]);
1076: case DM_POLYTOPE_TRI_PRISM:
1077: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]);
1078: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1079: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]);
1080: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1081: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]);
1082: case DM_POLYTOPE_PYRAMID:
1083: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]);
1084: default:
1085: return 0;
1086: }
1087: }
1089: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1090: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1091: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1092: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1093: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);
1095: #endif