Actual source code: petscdm.h
1: /*
2: Objects to manage the interactions between the mesh data structures and the algebraic objects
3: */
4: #pragma once
5: #include "petscsystypes.h"
6: #include <petscmat.h>
7: #include <petscdmtypes.h>
8: #include <petscdmlabel.h>
9: #include <petscfetypes.h>
10: #include <petscdstypes.h>
11: #include <petscdt.h>
13: /* SUBMANSEC = DM */
15: PETSC_EXTERN PetscErrorCode DMInitializePackage(void);
17: PETSC_EXTERN PetscClassId DM_CLASSID;
19: #define DMLOCATEPOINT_POINT_NOT_FOUND -367
21: /*J
22: DMType - String with the name of a PETSc `DM`. These are all the `DM` provided by PETSc.
24: Level: beginner
26: Note:
27: These can be used with `DMSetType()` or the options database key `-dm_type` to set the specific data structures and algorithms to use with a specific `DM`.
28: But more commonly one calls directly a constructor for a particular `DMType` such as `DMDACreate()`
30: .seealso: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `DM`, `DMDACreate()`
31: J*/
32: typedef const char *DMType;
33: #define DMDA "da"
34: #define DMCOMPOSITE "composite"
35: #define DMSLICED "sliced"
36: #define DMSHELL "shell"
37: #define DMPLEX "plex"
38: #define DMREDUNDANT "redundant"
39: #define DMPATCH "patch"
40: #define DMMOAB "moab"
41: #define DMNETWORK "network"
42: #define DMFOREST "forest"
43: #define DMP4EST "p4est"
44: #define DMP8EST "p8est"
45: #define DMSWARM "swarm"
46: #define DMPRODUCT "product"
47: #define DMSTAG "stag"
49: PETSC_EXTERN const char *const DMBoundaryTypes[];
50: PETSC_EXTERN const char *const DMBoundaryConditionTypes[];
51: PETSC_EXTERN const char *const DMBlockingTypes[];
52: PETSC_EXTERN PetscFunctionList DMList;
53: PETSC_EXTERN DMGeneratorFunctionList DMGenerateList;
54: PETSC_EXTERN PetscFunctionList DMGeomModelList;
55: PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *);
56: PETSC_EXTERN PetscErrorCode DMClone(DM, DM *);
57: PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType);
58: PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *);
59: PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM));
60: PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void);
62: PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer);
63: PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer);
64: PETSC_EXTERN PetscErrorCode DMDestroy(DM *);
65: PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *);
66: PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *);
67: PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *);
68: PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *);
69: PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *);
70: PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *);
71: PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM);
72: PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM);
73: PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM);
74: PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM);
75: PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *);
76: PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *);
77: PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *);
78: PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *);
79: PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *);
80: PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *);
81: PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *);
82: PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **);
83: PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *);
84: PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *);
85: PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *);
86: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool);
87: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool);
88: PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool);
89: PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType);
90: PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *);
91: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *);
92: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *);
93: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *);
94: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *);
95: PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *, Vec *);
96: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *);
97: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *);
98: PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *);
99: PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *);
100: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *);
101: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM);
102: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *);
103: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM);
104: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]);
105: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]);
106: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
107: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
108: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
109: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
110: PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM);
111: PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM);
112: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec);
113: PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *);
114: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
115: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]);
117: PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *);
118: PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt);
119: PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void);
120: PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void);
121: PETSC_EXTERN PetscErrorCode DMGeomModelRegister(const char[], PetscErrorCode (*)(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]));
122: PETSC_EXTERN PetscErrorCode DMGeomModelRegisterAll(void);
123: PETSC_EXTERN PetscErrorCode DMGeomModelRegisterDestroy(void);
124: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *);
125: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *);
127: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
128: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *);
129: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *);
130: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
131: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
132: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec);
133: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec);
134: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec);
135: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec);
136: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec);
137: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec);
138: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec);
139: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec);
140: PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *);
142: /* Topology support */
143: PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *);
144: PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt);
145: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *);
146: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *);
147: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool);
148: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt *[]);
150: /* Coordinate support */
151: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *);
152: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM);
153: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *);
154: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM);
155: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *);
156: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt);
157: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *);
158: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection);
159: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *);
160: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection);
161: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *);
162: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec);
163: PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *);
164: PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec);
165: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
166: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *);
167: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *);
168: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *);
169: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec);
170: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM);
171: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *);
172: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *);
173: PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec);
174: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *);
175: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField);
176: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]);
177: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]);
178: PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool);
179: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *);
180: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);
181: PETSC_EXTERN PetscErrorCode DMSetSnapToGeomModel(DM, const char[]);
183: /* Periodicity support */
184: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
185: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]);
186: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
187: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
188: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *);
189: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *);
190: PETSC_EXTERN PetscErrorCode DMGetSparseLocalize(DM, PetscBool *);
191: PETSC_EXTERN PetscErrorCode DMSetSparseLocalize(DM, PetscBool);
193: /* block hook interface */
194: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
195: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
196: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM);
198: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]);
199: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]);
200: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]);
201: PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType);
202: PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *);
203: PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType);
204: PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *);
205: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType);
206: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *);
207: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *);
208: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscCtxDestroyFn *);
209: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *);
210: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec));
211: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *);
212: PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *);
213: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *);
214: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *);
215: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec);
217: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
218: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
219: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], IS *, DM *);
220: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS *[], DM *);
221: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **);
222: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **);
223: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter *[], VecScatter *[], VecScatter *[]);
225: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *);
226: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt);
227: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *);
228: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt);
229: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);
231: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *);
232: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
233: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *);
234: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
235: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring);
237: typedef struct NLF_DAAD *NLF;
239: #define DM_FILE_CLASSID 1211221
241: /* FEM support */
242: PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]);
243: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]);
244: PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]);
245: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]);
246: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec);
248: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
249: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
250: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
251: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
253: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
254: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
255: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
256: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
257: PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *);
258: PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *);
259: PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag);
260: PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *);
261: PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType);
262: PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool);
263: static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMGetLocalSection()", ) PetscErrorCode DMGetSection(DM dm, PetscSection *s)
264: {
265: return DMGetLocalSection(dm, s);
266: }
267: static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMSetLocalSection()", ) PetscErrorCode DMSetSection(DM dm, PetscSection s)
268: {
269: return DMSetLocalSection(dm, s);
270: }
271: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s)
272: {
273: return DMGetLocalSection(dm, s);
274: }
275: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s)
276: {
277: return DMSetLocalSection(dm, s);
278: }
279: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s)
280: {
281: return DMGetGlobalSection(dm, s);
282: }
283: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s)
284: {
285: return DMSetGlobalSection(dm, s);
286: }
288: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *);
289: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
290: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
291: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s)
292: {
293: return DMGetSectionSF(dm, s);
294: }
295: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s)
296: {
297: return DMSetSectionSF(dm, s);
298: }
299: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g)
300: {
301: return DMCreateSectionSF(dm, l, g);
302: }
303: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
304: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
305: PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *);
306: PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF);
308: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *);
309: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec);
311: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
312: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
313: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
314: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *);
315: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *);
317: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
318: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
319: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
320: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
321: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
322: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
323: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
324: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
325: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, PetscInt, PetscInt, DM);
326: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
327: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
328: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
329: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);
331: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
332: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
333: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *);
334: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *);
335: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS);
336: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *);
337: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS);
338: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
339: PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *);
340: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
341: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
342: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, PetscInt, PetscInt, DM);
343: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
344: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
345: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
346: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *);
347: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec);
348: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]);
349: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);
350: PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM);
352: /*MC
353: DMInterpolationInfo - Pointer to a structure for holding information about interpolation on a mesh
355: Synopsis:
356: comm - The communicator
357: dim - The spatial dimension of points
358: nInput - The number of input points
359: points[] - The input point coordinates
360: cells[] - The cell containing each point
361: n - The number of local points
362: coords - The point coordinates
363: dof - The number of components to interpolate
365: Level: intermediate
367: .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()`
368: M*/
369: struct _n_DMInterpolationInfo {
370: MPI_Comm comm;
371: PetscInt dim; /* The spatial dimension of points */
372: PetscInt nInput; /* The number of input points */
373: PetscReal *points; /* The input point coordinates */
374: PetscInt *cells; /* The cell containing each point */
375: PetscInt n; /* The number of local points */
376: Vec coords; /* The point coordinates */
377: PetscInt dof; /* The number of components to interpolate */
378: };
379: typedef struct _n_DMInterpolationInfo *DMInterpolationInfo;
381: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
382: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
383: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
384: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
385: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
386: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
387: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
388: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
389: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
390: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
391: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
392: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);
394: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]);
395: PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]);
396: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
397: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
398: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
399: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
400: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
401: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *);
402: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *);
403: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS);
404: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
405: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
406: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
407: PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *);
409: /*E
410: DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name
412: Values:
413: + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source
414: . `DM_COPY_LABELS_KEEP` - keep destination label
415: - `DM_COPY_LABELS_FAIL` - generate an error
417: Level: advanced
419: .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()`
420: E*/
421: typedef enum {
422: DM_COPY_LABELS_REPLACE,
423: DM_COPY_LABELS_KEEP,
424: DM_COPY_LABELS_FAIL
425: } DMCopyLabelsMode;
426: PETSC_EXTERN const char *const DMCopyLabelsModes[];
428: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
429: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char *[]);
430: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *);
431: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
432: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
433: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
434: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
435: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *);
436: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
437: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode);
438: PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char *[]);
440: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
441: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);
443: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
444: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
445: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
446: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
447: 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);
448: PETSC_EXTERN PetscErrorCode DMProjectFieldLabel(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);
449: 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);
450: 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);
451: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
452: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
453: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
454: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
455: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *);
456: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);
458: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *);
460: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscCtxDestroyFn *);
461: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
462: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
463: PETSC_EXTERN PetscErrorCode DMMonitor(DM);
465: static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct)
466: {
467: switch (ct) {
468: case DM_POLYTOPE_POINT_PRISM_TENSOR:
469: case DM_POLYTOPE_SEG_PRISM_TENSOR:
470: case DM_POLYTOPE_TRI_PRISM_TENSOR:
471: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
472: return PETSC_TRUE;
473: default:
474: return PETSC_FALSE;
475: }
476: }
478: static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
479: {
480: switch (ct) {
481: case DM_POLYTOPE_POINT:
482: return 0;
483: case DM_POLYTOPE_SEGMENT:
484: case DM_POLYTOPE_POINT_PRISM_TENSOR:
485: return 1;
486: case DM_POLYTOPE_TRIANGLE:
487: case DM_POLYTOPE_QUADRILATERAL:
488: case DM_POLYTOPE_SEG_PRISM_TENSOR:
489: case DM_POLYTOPE_UNKNOWN_FACE:
490: return 2;
491: case DM_POLYTOPE_TETRAHEDRON:
492: case DM_POLYTOPE_HEXAHEDRON:
493: case DM_POLYTOPE_TRI_PRISM:
494: case DM_POLYTOPE_TRI_PRISM_TENSOR:
495: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
496: case DM_POLYTOPE_PYRAMID:
497: case DM_POLYTOPE_UNKNOWN_CELL:
498: return 3;
499: default:
500: return -1;
501: }
502: }
504: static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
505: {
506: switch (ct) {
507: case DM_POLYTOPE_POINT:
508: return 0;
509: case DM_POLYTOPE_SEGMENT:
510: return 2;
511: case DM_POLYTOPE_POINT_PRISM_TENSOR:
512: return 2;
513: case DM_POLYTOPE_TRIANGLE:
514: return 3;
515: case DM_POLYTOPE_QUADRILATERAL:
516: return 4;
517: case DM_POLYTOPE_SEG_PRISM_TENSOR:
518: return 4;
519: case DM_POLYTOPE_TETRAHEDRON:
520: return 4;
521: case DM_POLYTOPE_HEXAHEDRON:
522: return 6;
523: case DM_POLYTOPE_TRI_PRISM:
524: return 5;
525: case DM_POLYTOPE_TRI_PRISM_TENSOR:
526: return 5;
527: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
528: return 6;
529: case DM_POLYTOPE_PYRAMID:
530: return 5;
531: default:
532: return -1;
533: }
534: }
536: static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
537: {
538: switch (ct) {
539: case DM_POLYTOPE_POINT:
540: return 1;
541: case DM_POLYTOPE_SEGMENT:
542: return 2;
543: case DM_POLYTOPE_POINT_PRISM_TENSOR:
544: return 2;
545: case DM_POLYTOPE_TRIANGLE:
546: return 3;
547: case DM_POLYTOPE_QUADRILATERAL:
548: return 4;
549: case DM_POLYTOPE_SEG_PRISM_TENSOR:
550: return 4;
551: case DM_POLYTOPE_TETRAHEDRON:
552: return 4;
553: case DM_POLYTOPE_HEXAHEDRON:
554: return 8;
555: case DM_POLYTOPE_TRI_PRISM:
556: return 6;
557: case DM_POLYTOPE_TRI_PRISM_TENSOR:
558: return 6;
559: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
560: return 8;
561: case DM_POLYTOPE_PYRAMID:
562: return 5;
563: default:
564: return -1;
565: }
566: }
568: static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
569: {
570: 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)));
571: }
573: static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct)
574: {
575: switch (ct) {
576: case DM_POLYTOPE_POINT:
577: return 1;
578: case DM_POLYTOPE_SEGMENT:
579: return 2;
580: case DM_POLYTOPE_POINT_PRISM_TENSOR:
581: return 2;
582: case DM_POLYTOPE_TRIANGLE:
583: return 6;
584: case DM_POLYTOPE_QUADRILATERAL:
585: return 8;
586: case DM_POLYTOPE_SEG_PRISM_TENSOR:
587: return 4;
588: case DM_POLYTOPE_TETRAHEDRON:
589: return 24;
590: case DM_POLYTOPE_HEXAHEDRON:
591: return 48;
592: case DM_POLYTOPE_TRI_PRISM:
593: return 12;
594: case DM_POLYTOPE_TRI_PRISM_TENSOR:
595: return 12;
596: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
597: return 16;
598: case DM_POLYTOPE_PYRAMID:
599: return 8;
600: default:
601: return -1;
602: }
603: }
605: /* An arrangement is a face order combined with an orientation for each face */
606: static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o)
607: {
608: static const PetscInt pntArr[1 * 2] = {0, 0};
609: /* a: swap */
610: static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */
611: 0, 0, 1, 0,
612: /* 0: e */};
613: /* a: swap first two
614: b: swap last two */
615: static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */
616: 2, -1, 1, -1, 0, -1, /* -2: aba */
617: 1, -1, 0, -1, 2, -1, /* -1: a */
618: 0, 0, 1, 0, 2, 0, /* 0: identity */
619: 1, 0, 2, 0, 0, 0, /* 1: ba */
620: 2, 0, 0, 0, 1, 0,
621: /* 2: ab */};
622: /* a: forward cyclic permutation
623: b: swap first and last pairs */
624: static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
625: 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
626: 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
627: 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */
628: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
629: 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */
630: 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */
631: 3, 0, 0, 0, 1, 0, 2, 0,
632: /* 3: a^3 */};
633: /* r: rotate 180
634: b: swap top and bottom segments */
635: static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
636: 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */
637: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
638: 1, 0, 0, 0, 2, -1, 3, -1,
639: /* 1: b */};
640: /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
641: static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */
642: 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */
643: 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */
644: 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */
645: 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */
646: 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */
647: 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */
648: 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */
649: 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */
650: 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */
651: 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */
652: 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */
653: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */
654: 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */
655: 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */
656: 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */
657: 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */
658: 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */
659: 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */
660: 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */
661: 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */
662: 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */
663: 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */
664: 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */};
665: /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
666: static const PetscInt hexArr[48 * 6 * 2] = {
667: 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
668: 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
669: 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
670: 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
671: 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
672: 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
673: 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
674: 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
675: 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
676: 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
677: 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
678: 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
679: 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
680: 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
681: 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
682: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */
683: 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */
684: 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */
685: 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */
686: 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */
687: 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */
688: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */
689: 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */
690: 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */
691: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
692: 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */
693: 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */
694: 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */
695: 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */
696: 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */
697: 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */
698: 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */
699: 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */
700: 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */
701: 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */
702: 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */
703: 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */
704: 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */
705: 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */
706: 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */
707: 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */
708: 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */
709: 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */
710: 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */
711: 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */
712: 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
713: 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */
714: 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */
715: };
716: static const PetscInt tripArr[12 * 5 * 2] = {
717: 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
718: 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
719: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
720: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
721: 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
722: 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
723: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
724: 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */
725: 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */
726: 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */
727: 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */
728: 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */
729: };
730: /* a: rotate 120 about z
731: b: swap top and bottom segments
732: r: reflect */
733: static const PetscInt ttriArr[12 * 5 * 2] = {
734: 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
735: 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
736: 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
737: 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
738: 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
739: 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
740: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
741: 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */
742: 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */
743: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */
744: 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */
745: 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */
746: };
747: /* a: rotate 90 about z
748: b: swap top and bottom segments
749: r: reflect */
750: static const PetscInt tquadArr[16 * 6 * 2] = {
751: 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
752: 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
753: 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
754: 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
755: 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
756: 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
757: 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
758: 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
759: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
760: 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */
761: 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */
762: 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */
763: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */
764: 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */
765: 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */
766: 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */
767: };
768: static const PetscInt pyrArr[8 * 5 * 2] = {
769: 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
770: 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
771: 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
772: 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
773: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
774: 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */
775: 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */
776: 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */
777: };
778: switch (ct) {
779: case DM_POLYTOPE_POINT:
780: return pntArr;
781: case DM_POLYTOPE_SEGMENT:
782: return &segArr[(o + 1) * 2 * 2];
783: case DM_POLYTOPE_POINT_PRISM_TENSOR:
784: return &segArr[(o + 1) * 2 * 2];
785: case DM_POLYTOPE_TRIANGLE:
786: return &triArr[(o + 3) * 3 * 2];
787: case DM_POLYTOPE_QUADRILATERAL:
788: return &quadArr[(o + 4) * 4 * 2];
789: case DM_POLYTOPE_SEG_PRISM_TENSOR:
790: return &tsegArr[(o + 2) * 4 * 2];
791: case DM_POLYTOPE_TETRAHEDRON:
792: return &tetArr[(o + 12) * 4 * 2];
793: case DM_POLYTOPE_HEXAHEDRON:
794: return &hexArr[(o + 24) * 6 * 2];
795: case DM_POLYTOPE_TRI_PRISM:
796: return &tripArr[(o + 6) * 5 * 2];
797: case DM_POLYTOPE_TRI_PRISM_TENSOR:
798: return &ttriArr[(o + 6) * 5 * 2];
799: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
800: return &tquadArr[(o + 8) * 6 * 2];
801: case DM_POLYTOPE_PYRAMID:
802: return &pyrArr[(o + 4) * 5 * 2];
803: default:
804: return PETSC_NULLPTR;
805: }
806: }
808: /* A vertex arrangement is a vertex order */
809: static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o)
810: {
811: static const PetscInt pntVerts[1] = {0};
812: static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1};
813: static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1};
814: 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};
815: static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1};
816: static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */
817: 3, 1, 2, 0, /* -11: (14) p21 */
818: 1, 2, 3, 0, /* -10: (1234) p18 */
819: 3, 2, 0, 1, /* -9: (1423) p17 */
820: 2, 0, 3, 1, /* -8: (1342) p13 */
821: 0, 3, 2, 1, /* -7: (24) p14 */
822: 0, 1, 3, 2, /* -6: (34) p6 */
823: 1, 3, 0, 2, /* -5: (1243) p10 */
824: 3, 0, 1, 2, /* -4: (1432 p9 */
825: 1, 0, 2, 3, /* -3: (12) p1 */
826: 0, 2, 1, 3, /* -2: (23) p2 */
827: 2, 1, 0, 3, /* -1: (13) p5 */
828: 0, 1, 2, 3, /* 0: () p0 */
829: 1, 2, 0, 3, /* 1: (123) p4 */
830: 2, 0, 1, 3, /* 2: (132) p3 */
831: 1, 0, 3, 2, /* 3: (12)(34) p7 */
832: 0, 3, 1, 2, /* 4: (243) p8 */
833: 3, 1, 0, 2, /* 5: (143) p11 */
834: 2, 3, 0, 1, /* 6: (13)(24) p16 */
835: 3, 0, 2, 1, /* 7: (142) p15 */
836: 0, 2, 3, 1, /* 8: (234) p12 */
837: 3, 2, 1, 0, /* 9: (14)(23) p23 */
838: 2, 1, 3, 0, /* 10: (134) p19 */
839: 1, 3, 2, 0 /* 11: (124) p20 */};
840: static const PetscInt hexVerts[48 * 8] = {
841: 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
842: 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
843: 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
844: 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
845: 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
846: 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
847: 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
848: 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
849: 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
850: 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
851: 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
852: 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
853: 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
854: 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
855: 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */
856: 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */
857: 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */
858: 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */
859: 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */
860: 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */
861: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */
862: 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */
863: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */
864: 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */
865: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
866: 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */
867: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */
868: 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */
869: 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */
870: 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */
871: 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */
872: 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */
873: 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */
874: 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */
875: 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */
876: 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */
877: 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */
878: 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */
879: 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */
880: 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */
881: 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */
882: 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */
883: 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */
884: 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */
885: 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */
886: 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
887: 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */
888: 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */
889: };
890: static const PetscInt tripVerts[12 * 6] = {
891: 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
892: 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
893: 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
894: 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
895: 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
896: 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
897: 0, 1, 2, 3, 4, 5, /* 0: identity */
898: 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */
899: 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */
900: 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */
901: 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */
902: 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */
903: };
904: static const PetscInt ttriVerts[12 * 6] = {
905: 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
906: 3, 5, 4, 0, 2, 1, /* -5: r b a */
907: 5, 4, 3, 2, 1, 0, /* -4: r b */
908: 1, 0, 2, 4, 3, 5, /* -3: r a^2 */
909: 0, 2, 1, 3, 5, 4, /* -2: r a */
910: 2, 1, 0, 5, 4, 3, /* -1: r */
911: 0, 1, 2, 3, 4, 5, /* 0: identity */
912: 1, 2, 0, 4, 5, 3, /* 1: a */
913: 2, 0, 1, 5, 3, 4, /* 2: a^2 */
914: 3, 4, 5, 0, 1, 2, /* 3: b */
915: 4, 5, 3, 1, 2, 0, /* 4: b a */
916: 5, 3, 4, 2, 0, 1, /* 5: b a^2 */
917: };
918: /* a: rotate 90 about z
919: b: swap top and bottom segments
920: r: reflect */
921: static const PetscInt tquadVerts[16 * 8] = {
922: 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
923: 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
924: 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
925: 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
926: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
927: 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
928: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
929: 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
930: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
931: 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */
932: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */
933: 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */
934: 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */
935: 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */
936: 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */
937: 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */
938: };
939: static const PetscInt pyrVerts[8 * 5] = {
940: 2, 1, 0, 3, 4, /* -4: Reflect bottom face */
941: 1, 0, 3, 2, 4, /* -3: Reflect bottom face */
942: 0, 3, 2, 1, 4, /* -2: Reflect bottom face */
943: 3, 2, 1, 0, 4, /* -1: Reflect bottom face */
944: 0, 1, 2, 3, 4, /* 0: identity */
945: 1, 2, 3, 0, 4, /* 1: 90 rotation about z */
946: 2, 3, 0, 1, 4, /* 2: 180 rotation about z */
947: 3, 0, 1, 2, 4, /* 3: 270 rotation about z */
948: };
949: switch (ct) {
950: case DM_POLYTOPE_POINT:
951: return pntVerts;
952: case DM_POLYTOPE_SEGMENT:
953: return &segVerts[(o + 1) * 2];
954: case DM_POLYTOPE_POINT_PRISM_TENSOR:
955: return &segVerts[(o + 1) * 2];
956: case DM_POLYTOPE_TRIANGLE:
957: return &triVerts[(o + 3) * 3];
958: case DM_POLYTOPE_QUADRILATERAL:
959: return &quadVerts[(o + 4) * 4];
960: case DM_POLYTOPE_SEG_PRISM_TENSOR:
961: return &tsegVerts[(o + 2) * 4];
962: case DM_POLYTOPE_TETRAHEDRON:
963: return &tetVerts[(o + 12) * 4];
964: case DM_POLYTOPE_HEXAHEDRON:
965: return &hexVerts[(o + 24) * 8];
966: case DM_POLYTOPE_TRI_PRISM:
967: return &tripVerts[(o + 6) * 6];
968: case DM_POLYTOPE_TRI_PRISM_TENSOR:
969: return &ttriVerts[(o + 6) * 6];
970: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
971: return &tquadVerts[(o + 8) * 8];
972: case DM_POLYTOPE_PYRAMID:
973: return &pyrVerts[(o + 4) * 5];
974: default:
975: return PETSC_NULLPTR;
976: }
977: }
979: /* This is orientation o1 acting on orientation o2 */
980: static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
981: {
982: static const PetscInt segMult[2 * 2] = {0, -1, -1, 0};
983: 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};
984: 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,
985: -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};
986: static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0};
987: static const PetscInt tetMult[24 * 24] = {
988: 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,
989: 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,
990: 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,
991: 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,
992: 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,
993: 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,
994: -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,
995: -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,
996: -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,
997: -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,
998: -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,
999: -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,
1000: };
1001: static const PetscInt hexMult[48 * 48] = {
1002: 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,
1003: 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,
1004: 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,
1005: 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,
1006: 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,
1007: 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,
1008: 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,
1009: 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,
1010: 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,
1011: 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,
1012: 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,
1013: 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,
1014: 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,
1015: 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,
1016: 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,
1017: 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,
1018: 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,
1019: 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,
1020: 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,
1021: 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,
1022: 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,
1023: 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,
1024: 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,
1025: 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,
1026: -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,
1027: -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,
1028: -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,
1029: -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,
1030: -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,
1031: -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,
1032: -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,
1033: -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,
1034: -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,
1035: -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,
1036: -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,
1037: -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,
1038: -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,
1039: -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,
1040: -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,
1041: -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,
1042: -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,
1043: -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,
1044: -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,
1045: -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,
1046: -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,
1047: -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,
1048: -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,
1049: -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,
1050: };
1051: static const PetscInt tripMult[12 * 12] = {
1052: 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,
1053: 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,
1054: -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,
1055: };
1056: static const PetscInt ttriMult[12 * 12] = {
1057: 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,
1058: 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,
1059: -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,
1060: };
1061: static const PetscInt tquadMult[16 * 16] = {
1062: 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,
1063: 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,
1064: -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,
1065: 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,
1066: -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,
1067: };
1068: static const PetscInt pyrMult[8 * 8] = {
1069: 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,
1070: };
1071: switch (ct) {
1072: case DM_POLYTOPE_POINT:
1073: return 0;
1074: case DM_POLYTOPE_SEGMENT:
1075: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1076: return segMult[(o1 + 1) * 2 + o2 + 1];
1077: case DM_POLYTOPE_TRIANGLE:
1078: return triMult[(o1 + 3) * 6 + o2 + 3];
1079: case DM_POLYTOPE_QUADRILATERAL:
1080: return quadMult[(o1 + 4) * 8 + o2 + 4];
1081: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1082: return tsegMult[(o1 + 2) * 4 + o2 + 2];
1083: case DM_POLYTOPE_TETRAHEDRON:
1084: return tetMult[(o1 + 12) * 24 + o2 + 12];
1085: case DM_POLYTOPE_HEXAHEDRON:
1086: return hexMult[(o1 + 24) * 48 + o2 + 24];
1087: case DM_POLYTOPE_TRI_PRISM:
1088: return tripMult[(o1 + 6) * 12 + o2 + 6];
1089: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1090: return ttriMult[(o1 + 6) * 12 + o2 + 6];
1091: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1092: return tquadMult[(o1 + 8) * 16 + o2 + 8];
1093: case DM_POLYTOPE_PYRAMID:
1094: return pyrMult[(o1 + 4) * 8 + o2 + 4];
1095: default:
1096: return 0;
1097: }
1098: }
1100: /* This is orientation o1 acting on orientation o2^{-1} */
1101: static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
1102: {
1103: static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1};
1104: static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1105: 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};
1106: 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};
1107: static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1108: static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1109: static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1110: static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1111: switch (ct) {
1112: case DM_POLYTOPE_POINT:
1113: return 0;
1114: case DM_POLYTOPE_SEGMENT:
1115: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1116: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1117: case DM_POLYTOPE_TRIANGLE:
1118: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]);
1119: case DM_POLYTOPE_QUADRILATERAL:
1120: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]);
1121: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1122: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1123: case DM_POLYTOPE_TETRAHEDRON:
1124: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]);
1125: case DM_POLYTOPE_HEXAHEDRON:
1126: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]);
1127: case DM_POLYTOPE_TRI_PRISM:
1128: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]);
1129: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1130: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]);
1131: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1132: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]);
1133: case DM_POLYTOPE_PYRAMID:
1134: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]);
1135: default:
1136: return 0;
1137: }
1138: }
1140: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1141: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1142: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1143: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1144: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);