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;
18: #define DMLOCATEPOINT_POINT_NOT_FOUND -367
20: /*J
21: DMType - String with the name of a PETSc `DM`
23: Level: beginner
25: .seealso: `DMSetType()`, `DM`
26: J*/
27: typedef const char *DMType;
28: #define DMDA "da"
29: #define DMCOMPOSITE "composite"
30: #define DMSLICED "sliced"
31: #define DMSHELL "shell"
32: #define DMPLEX "plex"
33: #define DMREDUNDANT "redundant"
34: #define DMPATCH "patch"
35: #define DMMOAB "moab"
36: #define DMNETWORK "network"
37: #define DMFOREST "forest"
38: #define DMP4EST "p4est"
39: #define DMP8EST "p8est"
40: #define DMSWARM "swarm"
41: #define DMPRODUCT "product"
42: #define DMSTAG "stag"
44: PETSC_EXTERN const char *const DMBoundaryTypes[];
45: PETSC_EXTERN const char *const DMBoundaryConditionTypes[];
46: PETSC_EXTERN const char *const DMBlockingTypes[];
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 DMSetBlockingType(DM, DMBlockingType);
82: PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *);
83: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *);
84: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *);
85: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *);
86: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *);
87: PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *);
88: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *);
89: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *);
90: PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *);
91: PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *);
92: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *);
93: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM);
94: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *);
95: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM);
96: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]);
97: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]);
98: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
99: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
100: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
101: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
102: PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM);
103: PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM);
104: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec);
105: PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *);
106: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
107: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]);
109: PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *);
110: PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt);
111: PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void);
112: PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void);
113: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *);
114: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *);
116: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
117: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *);
118: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM, DM, Mat *);
119: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
120: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
121: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec);
122: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec);
123: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec);
124: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec);
125: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec);
126: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec);
127: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec);
128: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec);
129: PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *);
131: /* Topology support */
132: PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *);
133: PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt);
134: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *);
135: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *);
136: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool);
137: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **);
139: /* Coordinate support */
140: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *);
141: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM);
142: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *);
143: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM);
144: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *);
145: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt);
146: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *);
147: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection);
148: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *);
149: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection);
150: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *);
151: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec);
152: PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *);
153: PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec);
154: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
155: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *);
156: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *);
157: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *);
158: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec);
159: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM);
160: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *);
161: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *);
162: PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec);
163: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *);
164: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField);
165: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]);
166: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]);
167: PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM, PetscFE);
168: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *);
170: /* Periodicity support */
171: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
172: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]);
173: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
174: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
175: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *);
176: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *);
178: /* block hook interface */
179: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
180: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
181: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM);
183: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]);
184: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]);
185: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]);
186: PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType);
187: PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *);
188: PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType);
189: PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *);
190: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType);
191: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *);
192: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *);
193: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **));
194: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *);
195: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec));
196: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *);
197: PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *);
198: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *);
199: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *);
200: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec);
202: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
203: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
204: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
205: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *);
206: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **);
207: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **);
208: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);
210: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *);
211: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt);
212: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *);
213: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt);
214: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);
216: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *);
217: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
218: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *);
219: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
220: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring);
222: typedef struct NLF_DAAD *NLF;
224: #define DM_FILE_CLASSID 1211221
226: /* FEM support */
227: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]);
228: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]);
229: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec);
231: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
232: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
233: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
234: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
236: PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */
237: PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */
238: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
239: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
240: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
241: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
242: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s)
243: {
244: return DMGetSection(dm, s);
245: }
246: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s)
247: {
248: return DMSetSection(dm, s);
249: }
250: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s)
251: {
252: return DMGetGlobalSection(dm, s);
253: }
254: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s)
255: {
256: return DMSetGlobalSection(dm, s);
257: }
259: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *);
260: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
261: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
262: static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s)
263: {
264: return DMGetSectionSF(dm, s);
265: }
266: static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s)
267: {
268: return DMSetSectionSF(dm, s);
269: }
270: static inline PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g)
271: {
272: return DMCreateSectionSF(dm, l, g);
273: }
274: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
275: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
276: PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *);
277: PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF);
279: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *);
280: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec);
282: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
283: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
284: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
285: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *);
287: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
288: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
289: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
290: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
291: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
292: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
293: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
294: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
295: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM);
296: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
297: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
298: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
299: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);
301: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
302: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
303: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *);
304: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *);
305: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS);
306: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *);
307: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS);
308: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
309: PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *);
310: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
311: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
312: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM);
313: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
314: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
315: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
316: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *);
317: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec);
318: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]);
319: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);
321: /*MC
322: DMInterpolationInfo - Structure for holding information about interpolation on a mesh
324: Level: intermediate
326: Synopsis:
327: comm - The communicator
328: dim - The spatial dimension of points
329: nInput - The number of input points
330: points - The input point coordinates
331: cells - The cell containing each point
332: n - The number of local points
333: coords - The point coordinates
334: dof - The number of components to interpolate
336: .seealso: `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()`
337: M*/
338: struct _DMInterpolationInfo {
339: MPI_Comm comm;
340: PetscInt dim; /*1 The spatial dimension of points */
341: PetscInt nInput; /* The number of input points */
342: PetscReal *points; /* The input point coordinates */
343: PetscInt *cells; /* The cell containing each point */
344: PetscInt n; /* The number of local points */
345: Vec coords; /* The point coordinates */
346: PetscInt dof; /* The number of components to interpolate */
347: };
348: typedef struct _DMInterpolationInfo *DMInterpolationInfo;
350: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
351: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
352: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
353: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
354: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
355: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
356: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
357: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
358: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
359: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
360: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
361: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);
363: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]);
364: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
365: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
366: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
367: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
368: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
369: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *);
370: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *);
371: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS);
372: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
373: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
374: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
375: PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *);
377: /*E
378: DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination DMs with the same name
380: Level: advanced
382: $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source
383: $ DM_COPY_LABELS_KEEP - keep destination label
384: $ DM_COPY_LABELS_FAIL - throw error
386: E*/
387: typedef enum {
388: DM_COPY_LABELS_REPLACE,
389: DM_COPY_LABELS_KEEP,
390: DM_COPY_LABELS_FAIL
391: } DMCopyLabelsMode;
392: PETSC_EXTERN const char *const DMCopyLabelsModes[];
394: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
395: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **);
396: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *);
397: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
398: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
399: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
400: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
401: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *);
402: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
403: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode);
404: PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **);
406: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
407: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);
409: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
410: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
411: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
412: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
413: 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);
414: 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);
415: 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);
416: 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);
417: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
418: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
419: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
420: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
421: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *);
422: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);
424: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *);
426: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **));
427: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
428: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
429: PETSC_EXTERN PetscErrorCode DMMonitor(DM);
431: static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
432: {
433: switch (ct) {
434: case DM_POLYTOPE_POINT:
435: return 0;
436: case DM_POLYTOPE_SEGMENT:
437: case DM_POLYTOPE_POINT_PRISM_TENSOR:
438: return 1;
439: case DM_POLYTOPE_TRIANGLE:
440: case DM_POLYTOPE_QUADRILATERAL:
441: case DM_POLYTOPE_SEG_PRISM_TENSOR:
442: return 2;
443: case DM_POLYTOPE_TETRAHEDRON:
444: case DM_POLYTOPE_HEXAHEDRON:
445: case DM_POLYTOPE_TRI_PRISM:
446: case DM_POLYTOPE_TRI_PRISM_TENSOR:
447: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
448: case DM_POLYTOPE_PYRAMID:
449: return 3;
450: default:
451: return -1;
452: }
453: }
455: static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
456: {
457: switch (ct) {
458: case DM_POLYTOPE_POINT:
459: return 0;
460: case DM_POLYTOPE_SEGMENT:
461: return 2;
462: case DM_POLYTOPE_POINT_PRISM_TENSOR:
463: return 2;
464: case DM_POLYTOPE_TRIANGLE:
465: return 3;
466: case DM_POLYTOPE_QUADRILATERAL:
467: return 4;
468: case DM_POLYTOPE_SEG_PRISM_TENSOR:
469: return 4;
470: case DM_POLYTOPE_TETRAHEDRON:
471: return 4;
472: case DM_POLYTOPE_HEXAHEDRON:
473: return 6;
474: case DM_POLYTOPE_TRI_PRISM:
475: return 5;
476: case DM_POLYTOPE_TRI_PRISM_TENSOR:
477: return 5;
478: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
479: return 6;
480: case DM_POLYTOPE_PYRAMID:
481: return 5;
482: default:
483: return -1;
484: }
485: }
487: static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
488: {
489: switch (ct) {
490: case DM_POLYTOPE_POINT:
491: return 1;
492: case DM_POLYTOPE_SEGMENT:
493: return 2;
494: case DM_POLYTOPE_POINT_PRISM_TENSOR:
495: return 2;
496: case DM_POLYTOPE_TRIANGLE:
497: return 3;
498: case DM_POLYTOPE_QUADRILATERAL:
499: return 4;
500: case DM_POLYTOPE_SEG_PRISM_TENSOR:
501: return 4;
502: case DM_POLYTOPE_TETRAHEDRON:
503: return 4;
504: case DM_POLYTOPE_HEXAHEDRON:
505: return 8;
506: case DM_POLYTOPE_TRI_PRISM:
507: return 6;
508: case DM_POLYTOPE_TRI_PRISM_TENSOR:
509: return 6;
510: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
511: return 8;
512: case DM_POLYTOPE_PYRAMID:
513: return 5;
514: default:
515: return -1;
516: }
517: }
519: static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
520: {
521: 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)));
522: }
524: static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct)
525: {
526: switch (ct) {
527: case DM_POLYTOPE_POINT:
528: return 1;
529: case DM_POLYTOPE_SEGMENT:
530: return 2;
531: case DM_POLYTOPE_POINT_PRISM_TENSOR:
532: return 2;
533: case DM_POLYTOPE_TRIANGLE:
534: return 6;
535: case DM_POLYTOPE_QUADRILATERAL:
536: return 8;
537: case DM_POLYTOPE_SEG_PRISM_TENSOR:
538: return 4;
539: case DM_POLYTOPE_TETRAHEDRON:
540: return 24;
541: case DM_POLYTOPE_HEXAHEDRON:
542: return 48;
543: case DM_POLYTOPE_TRI_PRISM:
544: return 12;
545: case DM_POLYTOPE_TRI_PRISM_TENSOR:
546: return 12;
547: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
548: return 16;
549: case DM_POLYTOPE_PYRAMID:
550: return 8;
551: default:
552: return -1;
553: }
554: }
556: /* An arrangement is a face order combined with an orientation for each face */
557: static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o)
558: {
559: static const PetscInt pntArr[1 * 2] = {0, 0};
560: /* a: swap */
561: static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */
562: 0, 0, 1, 0,
563: /* 0: e */};
564: /* a: swap first two
565: b: swap last two */
566: static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */
567: 2, -1, 1, -1, 0, -1, /* -2: aba */
568: 1, -1, 0, -1, 2, -1, /* -1: a */
569: 0, 0, 1, 0, 2, 0, /* 0: identity */
570: 1, 0, 2, 0, 0, 0, /* 1: ba */
571: 2, 0, 0, 0, 1, 0,
572: /* 2: ab */};
573: /* a: forward cyclic permutation
574: b: swap first and last pairs */
575: static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
576: 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
577: 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
578: 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */
579: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
580: 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */
581: 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */
582: 3, 0, 0, 0, 1, 0, 2, 0,
583: /* 3: a^3 */};
584: /* r: rotate 180
585: b: swap top and bottom segments */
586: static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
587: 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */
588: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
589: 1, 0, 0, 0, 2, -1, 3, -1,
590: /* 1: b */};
591: /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
592: static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */
593: 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */
594: 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */
595: 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */
596: 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */
597: 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */
598: 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */
599: 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */
600: 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */
601: 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */
602: 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */
603: 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */
604: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */
605: 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */
606: 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */
607: 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */
608: 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */
609: 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */
610: 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */
611: 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */
612: 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */
613: 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */
614: 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */
615: 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */};
616: /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
617: static const PetscInt hexArr[48 * 6 * 2] = {
618: 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
619: 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
620: 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
621: 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
622: 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
623: 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
624: 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
625: 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
626: 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
627: 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
628: 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
629: 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
630: 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
631: 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
632: 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
633: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */
634: 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */
635: 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */
636: 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */
637: 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */
638: 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */
639: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */
640: 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */
641: 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */
642: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
643: 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */
644: 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */
645: 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */
646: 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */
647: 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */
648: 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */
649: 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */
650: 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */
651: 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */
652: 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */
653: 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */
654: 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */
655: 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */
656: 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */
657: 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */
658: 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */
659: 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */
660: 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */
661: 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */
662: 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */
663: 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
664: 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */
665: 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */
666: };
667: static const PetscInt tripArr[12 * 5 * 2] = {
668: 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
669: 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
670: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
671: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
672: 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
673: 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
674: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
675: 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */
676: 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */
677: 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */
678: 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */
679: 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */
680: };
681: /* a: rotate 120 about z
682: b: swap top and bottom segments
683: r: reflect */
684: static const PetscInt ttriArr[12 * 5 * 2] = {
685: 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
686: 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
687: 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
688: 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
689: 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
690: 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
691: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
692: 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */
693: 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */
694: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */
695: 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */
696: 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */
697: };
698: /* a: rotate 90 about z
699: b: swap top and bottom segments
700: r: reflect */
701: static const PetscInt tquadArr[16 * 6 * 2] = {
702: 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
703: 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
704: 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
705: 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
706: 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
707: 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
708: 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
709: 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
710: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
711: 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */
712: 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */
713: 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */
714: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */
715: 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */
716: 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */
717: 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */
718: };
719: static const PetscInt pyrArr[8 * 5 * 2] = {
720: 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
721: 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
722: 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
723: 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
724: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
725: 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */
726: 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */
727: 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */
728: };
729: switch (ct) {
730: case DM_POLYTOPE_POINT:
731: return pntArr;
732: case DM_POLYTOPE_SEGMENT:
733: return &segArr[(o + 1) * 2 * 2];
734: case DM_POLYTOPE_POINT_PRISM_TENSOR:
735: return &segArr[(o + 1) * 2 * 2];
736: case DM_POLYTOPE_TRIANGLE:
737: return &triArr[(o + 3) * 3 * 2];
738: case DM_POLYTOPE_QUADRILATERAL:
739: return &quadArr[(o + 4) * 4 * 2];
740: case DM_POLYTOPE_SEG_PRISM_TENSOR:
741: return &tsegArr[(o + 2) * 4 * 2];
742: case DM_POLYTOPE_TETRAHEDRON:
743: return &tetArr[(o + 12) * 4 * 2];
744: case DM_POLYTOPE_HEXAHEDRON:
745: return &hexArr[(o + 24) * 6 * 2];
746: case DM_POLYTOPE_TRI_PRISM:
747: return &tripArr[(o + 6) * 5 * 2];
748: case DM_POLYTOPE_TRI_PRISM_TENSOR:
749: return &ttriArr[(o + 6) * 5 * 2];
750: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
751: return &tquadArr[(o + 8) * 6 * 2];
752: case DM_POLYTOPE_PYRAMID:
753: return &pyrArr[(o + 4) * 5 * 2];
754: default:
755: return NULL;
756: }
757: }
759: /* A vertex arrangement is a vertex order */
760: static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o)
761: {
762: static const PetscInt pntVerts[1] = {0};
763: static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1};
764: static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1};
765: 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};
766: static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1};
767: static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */
768: 3, 1, 2, 0, /* -11: (14) p21 */
769: 1, 2, 3, 0, /* -10: (1234) p18 */
770: 3, 2, 0, 1, /* -9: (1423) p17 */
771: 2, 0, 3, 1, /* -8: (1342) p13 */
772: 0, 3, 2, 1, /* -7: (24) p14 */
773: 0, 1, 3, 2, /* -6: (34) p6 */
774: 1, 3, 0, 2, /* -5: (1243) p10 */
775: 3, 0, 1, 2, /* -4: (1432 p9 */
776: 1, 0, 2, 3, /* -3: (12) p1 */
777: 0, 2, 1, 3, /* -2: (23) p2 */
778: 2, 1, 0, 3, /* -1: (13) p5 */
779: 0, 1, 2, 3, /* 0: () p0 */
780: 1, 2, 0, 3, /* 1: (123) p4 */
781: 2, 0, 1, 3, /* 2: (132) p3 */
782: 1, 0, 3, 2, /* 3: (12)(34) p7 */
783: 0, 3, 1, 2, /* 4: (243) p8 */
784: 3, 1, 0, 2, /* 5: (143) p11 */
785: 2, 3, 0, 1, /* 6: (13)(24) p16 */
786: 3, 0, 2, 1, /* 7: (142) p15 */
787: 0, 2, 3, 1, /* 8: (234) p12 */
788: 3, 2, 1, 0, /* 9: (14)(23) p23 */
789: 2, 1, 3, 0, /* 10: (134) p19 */
790: 1, 3, 2, 0 /* 11: (124) p20 */};
791: static const PetscInt hexVerts[48 * 8] = {
792: 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
793: 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
794: 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
795: 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
796: 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
797: 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
798: 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
799: 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
800: 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
801: 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
802: 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
803: 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
804: 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
805: 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
806: 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */
807: 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */
808: 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */
809: 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */
810: 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */
811: 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */
812: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */
813: 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */
814: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */
815: 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */
816: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
817: 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */
818: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */
819: 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */
820: 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */
821: 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */
822: 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */
823: 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */
824: 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */
825: 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */
826: 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */
827: 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */
828: 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */
829: 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */
830: 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */
831: 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */
832: 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */
833: 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */
834: 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */
835: 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */
836: 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */
837: 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
838: 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */
839: 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */
840: };
841: static const PetscInt tripVerts[12 * 6] = {
842: 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
843: 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
844: 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
845: 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
846: 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
847: 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
848: 0, 1, 2, 3, 4, 5, /* 0: identity */
849: 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */
850: 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */
851: 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */
852: 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */
853: 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */
854: };
855: static const PetscInt ttriVerts[12 * 6] = {
856: 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
857: 3, 5, 4, 0, 2, 1, /* -5: r b a */
858: 5, 4, 3, 2, 1, 0, /* -4: r b */
859: 1, 0, 2, 4, 3, 5, /* -3: r a^2 */
860: 0, 2, 1, 3, 5, 4, /* -2: r a */
861: 2, 1, 0, 5, 4, 3, /* -1: r */
862: 0, 1, 2, 3, 4, 5, /* 0: identity */
863: 1, 2, 0, 4, 5, 3, /* 1: a */
864: 2, 0, 1, 5, 3, 4, /* 2: a^2 */
865: 3, 4, 5, 0, 1, 2, /* 3: b */
866: 4, 5, 3, 1, 2, 0, /* 4: b a */
867: 5, 3, 4, 2, 0, 1, /* 5: b a^2 */
868: };
869: /* a: rotate 90 about z
870: b: swap top and bottom segments
871: r: reflect */
872: static const PetscInt tquadVerts[16 * 8] = {
873: 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
874: 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
875: 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
876: 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
877: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
878: 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
879: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
880: 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
881: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
882: 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */
883: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */
884: 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */
885: 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */
886: 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */
887: 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */
888: 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */
889: };
890: static const PetscInt pyrVerts[8 * 5] = {
891: 2, 1, 0, 3, 4, /* -4: Reflect bottom face */
892: 1, 0, 3, 2, 4, /* -3: Reflect bottom face */
893: 0, 3, 2, 1, 4, /* -2: Reflect bottom face */
894: 3, 2, 1, 0, 4, /* -1: Reflect bottom face */
895: 0, 1, 2, 3, 4, /* 0: identity */
896: 1, 2, 3, 0, 4, /* 1: 90 rotation about z */
897: 2, 3, 0, 1, 4, /* 2: 180 rotation about z */
898: 3, 0, 1, 2, 4, /* 3: 270 rotation about z */
899: };
900: switch (ct) {
901: case DM_POLYTOPE_POINT:
902: return pntVerts;
903: case DM_POLYTOPE_SEGMENT:
904: return &segVerts[(o + 1) * 2];
905: case DM_POLYTOPE_POINT_PRISM_TENSOR:
906: return &segVerts[(o + 1) * 2];
907: case DM_POLYTOPE_TRIANGLE:
908: return &triVerts[(o + 3) * 3];
909: case DM_POLYTOPE_QUADRILATERAL:
910: return &quadVerts[(o + 4) * 4];
911: case DM_POLYTOPE_SEG_PRISM_TENSOR:
912: return &tsegVerts[(o + 2) * 4];
913: case DM_POLYTOPE_TETRAHEDRON:
914: return &tetVerts[(o + 12) * 4];
915: case DM_POLYTOPE_HEXAHEDRON:
916: return &hexVerts[(o + 24) * 8];
917: case DM_POLYTOPE_TRI_PRISM:
918: return &tripVerts[(o + 6) * 6];
919: case DM_POLYTOPE_TRI_PRISM_TENSOR:
920: return &ttriVerts[(o + 6) * 6];
921: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
922: return &tquadVerts[(o + 8) * 8];
923: case DM_POLYTOPE_PYRAMID:
924: return &pyrVerts[(o + 4) * 5];
925: default:
926: return NULL;
927: }
928: }
930: /* This is orientation o1 acting on orientation o2 */
931: static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
932: {
933: static const PetscInt segMult[2 * 2] = {0, -1, -1, 0};
934: 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};
935: 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,
936: -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};
937: static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0};
938: static const PetscInt tetMult[24 * 24] = {
939: 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,
940: 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,
941: 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,
942: 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,
943: 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,
944: 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,
945: -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,
946: -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,
947: -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,
948: -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,
949: -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,
950: -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,
951: };
952: static const PetscInt hexMult[48 * 48] = {
953: 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,
954: 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,
955: 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,
956: 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,
957: 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,
958: 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,
959: 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,
960: 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,
961: 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,
962: 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,
963: 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,
964: 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,
965: 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,
966: 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,
967: 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,
968: 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,
969: 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,
970: 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,
971: 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,
972: 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,
973: 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,
974: 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,
975: 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,
976: 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,
977: -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,
978: -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,
979: -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,
980: -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,
981: -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,
982: -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,
983: -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,
984: -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,
985: -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,
986: -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,
987: -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,
988: -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,
989: -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,
990: -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,
991: -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,
992: -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,
993: -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,
994: -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,
995: -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,
996: -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,
997: -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,
998: -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,
999: -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,
1000: -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,
1001: };
1002: static const PetscInt tripMult[12 * 12] = {
1003: 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,
1004: 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,
1005: -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,
1006: };
1007: static const PetscInt ttriMult[12 * 12] = {
1008: 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,
1009: 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,
1010: -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,
1011: };
1012: static const PetscInt tquadMult[16 * 16] = {
1013: 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,
1014: 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,
1015: -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,
1016: 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,
1017: -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,
1018: };
1019: static const PetscInt pyrMult[8 * 8] = {
1020: 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,
1021: };
1022: switch (ct) {
1023: case DM_POLYTOPE_POINT:
1024: return 0;
1025: case DM_POLYTOPE_SEGMENT:
1026: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1027: return segMult[(o1 + 1) * 2 + o2 + 1];
1028: case DM_POLYTOPE_TRIANGLE:
1029: return triMult[(o1 + 3) * 6 + o2 + 3];
1030: case DM_POLYTOPE_QUADRILATERAL:
1031: return quadMult[(o1 + 4) * 8 + o2 + 4];
1032: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1033: return tsegMult[(o1 + 2) * 4 + o2 + 2];
1034: case DM_POLYTOPE_TETRAHEDRON:
1035: return tetMult[(o1 + 12) * 24 + o2 + 12];
1036: case DM_POLYTOPE_HEXAHEDRON:
1037: return hexMult[(o1 + 24) * 48 + o2 + 24];
1038: case DM_POLYTOPE_TRI_PRISM:
1039: return tripMult[(o1 + 6) * 12 + o2 + 6];
1040: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1041: return ttriMult[(o1 + 6) * 12 + o2 + 6];
1042: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1043: return tquadMult[(o1 + 8) * 16 + o2 + 8];
1044: case DM_POLYTOPE_PYRAMID:
1045: return pyrMult[(o1 + 4) * 8 + o2 + 4];
1046: default:
1047: return 0;
1048: }
1049: }
1051: /* This is orientation o1 acting on orientation o2^{-1} */
1052: static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
1053: {
1054: static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1};
1055: static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1056: 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};
1057: 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};
1058: static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1059: static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1060: static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1061: static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1062: switch (ct) {
1063: case DM_POLYTOPE_POINT:
1064: return 0;
1065: case DM_POLYTOPE_SEGMENT:
1066: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1067: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1068: case DM_POLYTOPE_TRIANGLE:
1069: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]);
1070: case DM_POLYTOPE_QUADRILATERAL:
1071: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]);
1072: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1073: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1074: case DM_POLYTOPE_TETRAHEDRON:
1075: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]);
1076: case DM_POLYTOPE_HEXAHEDRON:
1077: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]);
1078: case DM_POLYTOPE_TRI_PRISM:
1079: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]);
1080: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1081: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]);
1082: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1083: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]);
1084: case DM_POLYTOPE_PYRAMID:
1085: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]);
1086: default:
1087: return 0;
1088: }
1089: }
1091: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1092: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1093: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1094: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1095: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);
1097: #endif