Actual source code: petscdm.h
1: /*
2: Objects to manage the interactions between the mesh data structures and the algebraic objects
3: */
4: #if !defined(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: PETSC_EXTERN PetscErrorCode DMInitializePackage(void);
14: PETSC_EXTERN PetscClassId DM_CLASSID;
15: PETSC_EXTERN PetscClassId DMLABEL_CLASSID;
17: #define DMLOCATEPOINT_POINT_NOT_FOUND -367
19: /*J
20: DMType - String with the name of a PETSc DM
22: Level: beginner
24: .seealso: DMSetType(), DM
25: J*/
26: typedef const char* DMType;
27: #define DMDA "da"
28: #define DMCOMPOSITE "composite"
29: #define DMSLICED "sliced"
30: #define DMSHELL "shell"
31: #define DMPLEX "plex"
32: #define DMREDUNDANT "redundant"
33: #define DMPATCH "patch"
34: #define DMMOAB "moab"
35: #define DMNETWORK "network"
36: #define DMFOREST "forest"
37: #define DMP4EST "p4est"
38: #define DMP8EST "p8est"
39: #define DMSWARM "swarm"
40: #define DMPRODUCT "product"
41: #define DMSTAG "stag"
43: PETSC_EXTERN const char *const DMBoundaryTypes[];
44: PETSC_EXTERN const char *const DMBoundaryConditionTypes[];
45: PETSC_EXTERN PetscFunctionList DMList;
46: PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm,DM*);
47: PETSC_EXTERN PetscErrorCode DMClone(DM,DM*);
48: PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType);
49: PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *);
50: PETSC_EXTERN PetscErrorCode DMRegister(const char[],PetscErrorCode (*)(DM));
51: PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void);
53: PETSC_EXTERN PetscErrorCode DMView(DM,PetscViewer);
54: PETSC_EXTERN PetscErrorCode DMLoad(DM,PetscViewer);
55: PETSC_EXTERN PetscErrorCode DMDestroy(DM*);
56: PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM,Vec*);
57: PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM,Vec*);
58: PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM,Vec *);
59: PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM,Vec *);
60: PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM,Vec *);
61: PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM,Vec *);
62: PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM);
63: PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM);
64: PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM,const char*,PetscBool*);
65: PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM,const char*,Vec*);
66: PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM,const char*,Vec*);
67: PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM,const char*,PetscBool*);
68: PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM,const char*,Vec*);
69: PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM,const char*,Vec*);
70: PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM,ISLocalToGlobalMapping*);
71: PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM,PetscInt*,char***,IS**);
72: PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM,PetscInt*);
73: PETSC_EXTERN PetscErrorCode DMCreateColoring(DM,ISColoringType,ISColoring*);
74: PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM,Mat*);
75: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM,PetscBool);
76: PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM,PetscBool);
77: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM,DM,Mat*,Vec*);
78: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM,DM,Mat*);
79: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM,DM,Mat*);
80: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM,DM,Mat*);
81: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM,PetscInt,MPI_Datatype,void*);
82: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM,PetscInt,MPI_Datatype,void*);
83: PETSC_EXTERN PetscErrorCode DMRefine(DM,MPI_Comm,DM*);
84: PETSC_EXTERN PetscErrorCode DMCoarsen(DM,MPI_Comm,DM*);
85: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM,DM*);
86: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM,DM);
87: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM,DM*);
88: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM,DM);
89: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM,PetscInt,DM[]);
90: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM,PetscInt,DM[]);
91: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*);
92: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*);
93: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*);
94: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*);
95: PETSC_EXTERN PetscErrorCode DMRestrict(DM,Mat,Vec,Mat,DM);
96: PETSC_EXTERN PetscErrorCode DMInterpolate(DM,Mat,DM);
97: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM,DM,Mat,Vec,Vec);
98: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
99: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM,PetscObject,const char[]);
101: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM,DMLabel,DM*);
102: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DM *);
104: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
105: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM,DM,Mat,Vec*);
106: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM,DM,Mat*);
107: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*);
108: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*);
109: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM,Vec,InsertMode,Vec);
110: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM,Vec,InsertMode,Vec);
111: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM,Vec,InsertMode,Vec);
112: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM,Vec,InsertMode,Vec);
113: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM,Vec,InsertMode,Vec);
114: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM,Vec,InsertMode,Vec);
115: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM,Vec,InsertMode,Vec);
116: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM,Vec,InsertMode,Vec);
117: PETSC_EXTERN PetscErrorCode DMConvert(DM,DMType,DM*);
119: /* Topology support */
120: PETSC_EXTERN PetscErrorCode DMGetDimension(DM,PetscInt*);
121: PETSC_EXTERN PetscErrorCode DMSetDimension(DM,PetscInt);
122: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM,PetscInt,PetscInt*,PetscInt*);
123: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM,PetscBool*);
124: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM,PetscBool);
126: /* Coordinate support */
127: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM,DM*);
128: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM,DM);
129: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM,PetscInt*);
130: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM,PetscInt);
131: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM,PetscSection*);
132: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM,PetscInt,PetscSection);
133: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM,Vec*);
134: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM,Vec);
135: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM,Vec*);
136: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
137: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM,Vec*);
138: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM,IS,PetscSection*,Vec*);
139: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM,Vec);
140: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM,Vec,DMPointLocationType,PetscSF*);
141: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM,PetscBool*,const PetscReal**,const PetscReal**,const DMBoundaryType**);
142: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM,PetscBool,const PetscReal[],const PetscReal[],const DMBoundaryType[]);
143: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
144: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
145: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM,PetscBool*);
146: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM,PetscBool*);
147: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM,PetscInt*,const PetscMPIInt**);
148: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM,DMField*);
149: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM,DMField);
150: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM,PetscReal[],PetscReal[]);
151: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM,PetscReal[],PetscReal[]);
152: PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM,PetscFE);
154: /* block hook interface */
155: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*);
156: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*);
157: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM,VecScatter,VecScatter,DM);
159: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM,const char []);
160: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM,const char []);
161: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM,const char*[]);
162: PETSC_EXTERN PetscErrorCode DMSetVecType(DM,VecType);
163: PETSC_EXTERN PetscErrorCode DMGetVecType(DM,VecType*);
164: PETSC_EXTERN PetscErrorCode DMSetMatType(DM,MatType);
165: PETSC_EXTERN PetscErrorCode DMGetMatType(DM,MatType*);
166: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM,ISColoringType);
167: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM,ISColoringType*);
168: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM,void*);
169: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM,PetscErrorCode (*)(void**));
170: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM,void*);
171: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM,PetscErrorCode (*)(DM,Vec,Vec));
172: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM,PetscBool *);
173: PETSC_EXTERN PetscErrorCode DMHasColoring(DM,PetscBool *);
174: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM,PetscBool *);
175: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM,PetscBool *);
176: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM,Vec,Vec);
178: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
179: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
180: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM,PetscInt,const PetscInt[],IS*,DM*);
181: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[],PetscInt,IS**,DM*);
182: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM,PetscInt*,char***,IS**,DM**);
183: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM,PetscInt*,char***,IS**,IS**,DM**);
184: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM,PetscInt,DM*,VecScatter**,VecScatter**,VecScatter**);
186: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM,PetscInt*);
187: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM,PetscInt);
188: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM,PetscInt*);
189: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM,PetscInt);
190: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);
192: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM*);
193: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
194: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM*);
195: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
196: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat,MatFDColoring);
198: typedef struct NLF_DAAD* NLF;
200: #define DM_FILE_CLASSID 1211221
202: /* FEM support */
203: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char [], PetscInt, const PetscScalar []);
204: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char [], PetscInt, PetscInt, const PetscScalar []);
205: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char [], PetscReal, Vec);
207: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
208: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
209: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
210: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
212: PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */
213: PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */
214: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
215: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
216: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
217: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
218: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) {return DMGetSection(dm,s);}
219: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) {return DMSetSection(dm,s);}
220: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) {return DMGetGlobalSection(dm,s);}
221: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) {return DMSetGlobalSection(dm,s);}
223: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF*);
224: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
225: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
226: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) {return DMGetSectionSF(dm,s);}
227: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) {return DMSetSectionSF(dm,s);}
228: PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) {return DMCreateSectionSF(dm,l,g);}
229: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
230: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
232: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *);
233: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat);
235: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
236: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
237: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
238: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *);
240: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
241: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
242: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
243: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
244: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
245: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
246: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
247: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
248: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM);
249: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
250: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
251: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
252: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);
254: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
255: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
256: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *);
257: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *);
258: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS);
259: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *);
260: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS);
261: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
262: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
263: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
264: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM);
265: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
266: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
267: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
268: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, Vec *);
269: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, Vec);
270: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[]);
271: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);
273: /*MC
274: DMInterpolationInfo - Structure for holding information about interpolation on a mesh
276: Level: intermediate
278: Synopsis:
279: comm - The communicator
280: dim - The spatial dimension of points
281: nInput - The number of input points
282: points - The input point coordinates
283: cells - The cell containing each point
284: n - The number of local points
285: coords - The point coordinates
286: dof - The number of components to interpolate
288: .seealso: DMInterpolationCreate(), DMInterpolationEvaluate(), DMInterpolationAddPoints()
289: M*/
290: struct _DMInterpolationInfo {
291: MPI_Comm comm;
292: PetscInt dim; /*1 The spatial dimension of points */
293: PetscInt nInput; /* The number of input points */
294: PetscReal *points; /* The input point coordinates */
295: PetscInt *cells; /* The cell containing each point */
296: PetscInt n; /* The number of local points */
297: Vec coords; /* The point coordinates */
298: PetscInt dof; /* The number of components to interpolate */
299: };
300: typedef struct _DMInterpolationInfo *DMInterpolationInfo;
302: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
303: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
304: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
305: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
306: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
307: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
308: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
309: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
310: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
311: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
312: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
313: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);
315: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char []);
316: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
317: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
318: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
319: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
320: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
321: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char [], PetscInt, PetscInt *);
322: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char [], PetscInt, IS *);
323: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char [], PetscInt, IS);
324: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
325: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
326: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
328: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
329: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **);
330: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char [], PetscBool *);
331: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
332: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
333: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
334: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
335: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char [], DMLabel *);
336: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
337: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool);
339: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
340: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);
342: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec);
343: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec);
344: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
345: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec);
346: 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);
347: 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);
348: 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);
349: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
350: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal [], PetscReal *);
351: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
352: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
353: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM,PetscBool*);
354: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);
356: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM,DM,PetscBool*,PetscBool*);
358: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void**));
359: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
360: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
361: PETSC_EXTERN PetscErrorCode DMMonitor(DM);
363: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
364: {
365: switch (ct) {
366: case DM_POLYTOPE_POINT:
367: return 0;
368: case DM_POLYTOPE_SEGMENT:
369: case DM_POLYTOPE_POINT_PRISM_TENSOR:
370: return 1;
371: case DM_POLYTOPE_TRIANGLE:
372: case DM_POLYTOPE_QUADRILATERAL:
373: case DM_POLYTOPE_SEG_PRISM_TENSOR:
374: return 2;
375: case DM_POLYTOPE_TETRAHEDRON:
376: case DM_POLYTOPE_HEXAHEDRON:
377: case DM_POLYTOPE_TRI_PRISM:
378: case DM_POLYTOPE_TRI_PRISM_TENSOR:
379: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
380: case DM_POLYTOPE_PYRAMID:
381: return 3;
382: default: return -1;
383: }
384: }
386: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
387: {
388: switch (ct) {
389: case DM_POLYTOPE_POINT: return 0;
390: case DM_POLYTOPE_SEGMENT: return 2;
391: case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2;
392: case DM_POLYTOPE_TRIANGLE: return 3;
393: case DM_POLYTOPE_QUADRILATERAL: return 4;
394: case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4;
395: case DM_POLYTOPE_TETRAHEDRON: return 4;
396: case DM_POLYTOPE_HEXAHEDRON: return 6;
397: case DM_POLYTOPE_TRI_PRISM: return 5;
398: case DM_POLYTOPE_TRI_PRISM_TENSOR: return 5;
399: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 6;
400: case DM_POLYTOPE_PYRAMID: return 5;
401: default: return -1;
402: }
403: }
405: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
406: {
407: switch (ct) {
408: case DM_POLYTOPE_POINT: return 1;
409: case DM_POLYTOPE_SEGMENT: return 2;
410: case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2;
411: case DM_POLYTOPE_TRIANGLE: return 3;
412: case DM_POLYTOPE_QUADRILATERAL: return 4;
413: case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4;
414: case DM_POLYTOPE_TETRAHEDRON: return 4;
415: case DM_POLYTOPE_HEXAHEDRON: return 8;
416: case DM_POLYTOPE_TRI_PRISM: return 6;
417: case DM_POLYTOPE_TRI_PRISM_TENSOR: return 6;
418: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 8;
419: case DM_POLYTOPE_PYRAMID: return 5;
420: default: return -1;
421: }
422: }
424: PETSC_STATIC_INLINE DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
425: {
426: return dim == 0 ? DM_POLYTOPE_POINT :
427: (dim == 1 ? DM_POLYTOPE_SEGMENT :
428: (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) :
429: (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN)));
430: }
432: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct)
433: {
434: switch (ct) {
435: case DM_POLYTOPE_POINT: return 1;
436: case DM_POLYTOPE_SEGMENT: return 2;
437: case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2;
438: case DM_POLYTOPE_TRIANGLE: return 6;
439: case DM_POLYTOPE_QUADRILATERAL: return 8;
440: case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4;
441: case DM_POLYTOPE_TETRAHEDRON: return 24;
442: case DM_POLYTOPE_HEXAHEDRON: return 48;
443: case DM_POLYTOPE_TRI_PRISM: return 12;
444: case DM_POLYTOPE_TRI_PRISM_TENSOR: return 12;
445: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 16;
446: case DM_POLYTOPE_PYRAMID: return 8;
447: default: return -1;
448: }
449: }
451: /* An arrangement is a face order combined with an orientation for each face */
452: PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o)
453: {
454: static const PetscInt pntArr[1*2] = {0, 0};
455: /* a: swap */
456: static const PetscInt segArr[2*2*2] = {
457: 1, 0, 0, 0, /* -1: a */
458: 0, 0, 1, 0, /* 0: e */};
459: /* a: swap first two
460: b: swap last two */
461: static const PetscInt triArr[6*3*2] = {
462: 0, -1, 2, -1, 1, -1, /* -3: b */
463: 2, -1, 1, -1, 0, -1, /* -2: aba */
464: 1, -1, 0, -1, 2, -1, /* -1: a */
465: 0, 0, 1, 0, 2, 0, /* 0: identity */
466: 1, 0, 2, 0, 0, 0, /* 1: ba */
467: 2, 0, 0, 0, 1, 0, /* 2: ab */};
468: /* a: forward cyclic permutation
469: b: swap first and last pairs */
470: static const PetscInt quadArr[8*4*2] = {
471: 1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
472: 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
473: 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
474: 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */
475: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
476: 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */
477: 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */
478: 3, 0, 0, 0, 1, 0, 2, 0, /* 3: a^3 */};
479: /* r: rotate 180
480: b: swap top and bottom segments */
481: static const PetscInt tsegArr[4*4*2] = {
482: 1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
483: 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */
484: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
485: 1, 0, 0, 0, 2, -1, 3, -1, /* 1: b */};
486: /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
487: static const PetscInt tetArr[24*4*2] = {
488: 3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */
489: 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */
490: 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */
491: 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */
492: 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */
493: 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */
494: 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */
495: 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */
496: 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */
497: 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */
498: 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */
499: 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */
500: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */
501: 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */
502: 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */
503: 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */
504: 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */
505: 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */
506: 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */
507: 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */
508: 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */
509: 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */
510: 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */
511: 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */};
512: /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
513: static const PetscInt hexArr[48*6*2] = {
514: 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
515: 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
516: 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
517: 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
518: 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
519: 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
520: 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
521: 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
522: 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
523: 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
524: 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
525: 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
526: 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
527: 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
528: 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
529: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */
530: 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */
531: 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */
532: 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */
533: 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */
534: 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */
535: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */
536: 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */
537: 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */
538: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
539: 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */
540: 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */
541: 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */
542: 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */
543: 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */
544: 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */
545: 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */
546: 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */
547: 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */
548: 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */
549: 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */
550: 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */
551: 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */
552: 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */
553: 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */
554: 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */
555: 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */
556: 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */
557: 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */
558: 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */
559: 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
560: 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */
561: 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */
562: };
563: static const PetscInt tripArr[12*5*2] = {
564: 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
565: 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
566: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
567: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
568: 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
569: 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
570: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
571: 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */
572: 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */
573: 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */
574: 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */
575: 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */
576: };
577: /* a: rotate 120 about z
578: b: swap top and bottom segments
579: r: reflect */
580: static const PetscInt ttriArr[12*5*2] = {
581: 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
582: 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
583: 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
584: 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
585: 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
586: 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
587: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
588: 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */
589: 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */
590: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */
591: 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */
592: 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */
593: };
594: /* a: rotate 90 about z
595: b: swap top and bottom segments
596: r: reflect */
597: static const PetscInt tquadArr[16*6*2] = {
598: 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
599: 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
600: 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
601: 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
602: 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
603: 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
604: 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
605: 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
606: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
607: 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */
608: 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */
609: 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */
610: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */
611: 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */
612: 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */
613: 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */
614: };
615: static const PetscInt pyrArr[8*5*2] = {
616: 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
617: 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
618: 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
619: 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
620: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
621: 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */
622: 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */
623: 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */
624: };
625: switch (ct) {
626: case DM_POLYTOPE_POINT: return pntArr;
627: case DM_POLYTOPE_SEGMENT: return &segArr[(o+1)*2*2];
628: case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segArr[(o+1)*2*2];
629: case DM_POLYTOPE_TRIANGLE: return &triArr[(o+3)*3*2];
630: case DM_POLYTOPE_QUADRILATERAL: return &quadArr[(o+4)*4*2];
631: case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegArr[(o+2)*4*2];
632: case DM_POLYTOPE_TETRAHEDRON: return &tetArr[(o+12)*4*2];
633: case DM_POLYTOPE_HEXAHEDRON: return &hexArr[(o+24)*6*2];
634: case DM_POLYTOPE_TRI_PRISM: return &tripArr[(o+6)*5*2];
635: case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriArr[(o+6)*5*2];
636: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadArr[(o+8)*6*2];
637: case DM_POLYTOPE_PYRAMID: return &pyrArr[(o+4)*5*2];
638: default: return NULL;
639: }
640: }
642: /* A vertex arrangment is a vertex order */
643: PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o)
644: {
645: static const PetscInt pntVerts[1] = {0};
646: static const PetscInt segVerts[2*2] = {
647: 1, 0,
648: 0, 1};
649: static const PetscInt triVerts[6*3] = {
650: 1, 0, 2,
651: 0, 2, 1,
652: 2, 1, 0,
653: 0, 1, 2,
654: 1, 2, 0,
655: 2, 0, 1};
656: static const PetscInt quadVerts[8*4] = {
657: 2, 1, 0, 3,
658: 1, 0, 3, 2,
659: 0, 3, 2, 1,
660: 3, 2, 1, 0,
661: 0, 1, 2, 3,
662: 1, 2, 3, 0,
663: 2, 3, 0, 1,
664: 3, 0, 1, 2};
665: static const PetscInt tsegVerts[4*4] = {
666: 3, 2, 1, 0,
667: 1, 0, 3, 2,
668: 0, 1, 2, 3,
669: 2, 3, 0, 1};
670: static const PetscInt tetVerts[24*4] = {
671: 2, 3, 1, 0, /* -12: (1324) p22 */
672: 3, 1, 2, 0, /* -11: (14) p21 */
673: 1, 2, 3, 0, /* -10: (1234) p18 */
674: 3, 2, 0, 1, /* -9: (1423) p17 */
675: 2, 0, 3, 1, /* -8: (1342) p13 */
676: 0, 3, 2, 1, /* -7: (24) p14 */
677: 0, 1, 3, 2, /* -6: (34) p6 */
678: 1, 3, 0, 2, /* -5: (1243) p10 */
679: 3, 0, 1, 2, /* -4: (1432 p9 */
680: 1, 0, 2, 3, /* -3: (12) p1 */
681: 0, 2, 1, 3, /* -2: (23) p2 */
682: 2, 1, 0, 3, /* -1: (13) p5 */
683: 0, 1, 2, 3, /* 0: () p0 */
684: 1, 2, 0, 3, /* 1: (123) p4 */
685: 2, 0, 1, 3, /* 2: (132) p3 */
686: 1, 0, 3, 2, /* 3: (12)(34) p7 */
687: 0, 3, 1, 2, /* 4: (243) p8 */
688: 3, 1, 0, 2, /* 5: (143) p11 */
689: 2, 3, 0, 1, /* 6: (13)(24) p16 */
690: 3, 0, 2, 1, /* 7: (142) p15 */
691: 0, 2, 3, 1, /* 8: (234) p12 */
692: 3, 2, 1, 0, /* 9: (14)(23) p23 */
693: 2, 1, 3, 0, /* 10: (134) p19 */
694: 1, 3, 2, 0 /* 11: (124) p20 */};
695: static const PetscInt hexVerts[48*8] = {
696: 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
697: 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
698: 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
699: 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
700: 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
701: 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
702: 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
703: 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
704: 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
705: 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
706: 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
707: 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
708: 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
709: 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
710: 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */
711: 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */
712: 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */
713: 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */
714: 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */
715: 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */
716: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */
717: 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */
718: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */
719: 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */
720: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
721: 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */
722: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */
723: 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */
724: 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */
725: 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */
726: 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */
727: 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */
728: 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */
729: 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */
730: 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */
731: 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */
732: 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */
733: 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */
734: 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */
735: 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */
736: 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */
737: 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */
738: 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */
739: 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */
740: 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */
741: 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
742: 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */
743: 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */
744: };
745: static const PetscInt tripVerts[12*6] = {
746: 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
747: 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
748: 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
749: 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
750: 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
751: 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
752: 0, 1, 2, 3, 4, 5, /* 0: identity */
753: 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */
754: 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */
755: 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */
756: 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */
757: 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */
758: };
759: static const PetscInt ttriVerts[12*6] = {
760: 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
761: 3, 5, 4, 0, 2, 1, /* -5: r b a */
762: 5, 4, 3, 2, 1, 0, /* -4: r b */
763: 1, 0, 2, 4, 3, 5, /* -3: r a^2 */
764: 0, 2, 1, 3, 5, 4, /* -2: r a */
765: 2, 1, 0, 5, 4, 3, /* -1: r */
766: 0, 1, 2, 3, 4, 5, /* 0: identity */
767: 1, 2, 0, 4, 5, 3, /* 1: a */
768: 2, 0, 1, 5, 3, 4, /* 2: a^2 */
769: 3, 4, 5, 0, 1, 2, /* 3: b */
770: 4, 5, 3, 1, 2, 0, /* 4: b a */
771: 5, 3, 4, 2, 0, 1, /* 5: b a^2 */
772: };
773: /* a: rotate 90 about z
774: b: swap top and bottom segments
775: r: reflect */
776: static const PetscInt tquadVerts[16*8] = {
777: 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
778: 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
779: 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
780: 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
781: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
782: 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
783: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
784: 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
785: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
786: 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */
787: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */
788: 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */
789: 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */
790: 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */
791: 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */
792: 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */
793: };
794: static const PetscInt pyrVerts[8*5] = {
795: 2, 1, 0, 3, 4, /* -4: Reflect bottom face */
796: 1, 0, 3, 2, 4, /* -3: Reflect bottom face */
797: 0, 3, 2, 1, 4, /* -2: Reflect bottom face */
798: 3, 2, 1, 0, 4, /* -1: Reflect bottom face */
799: 0, 1, 2, 3, 4, /* 0: identity */
800: 1, 2, 3, 0, 4, /* 1: 90 rotation about z */
801: 2, 3, 0, 1, 4, /* 2: 180 rotation about z */
802: 3, 0, 1, 2, 4, /* 3: 270 rotation about z */
803: };
804: switch (ct) {
805: case DM_POLYTOPE_POINT: return pntVerts;
806: case DM_POLYTOPE_SEGMENT: return &segVerts[(o+1)*2];
807: case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segVerts[(o+1)*2];
808: case DM_POLYTOPE_TRIANGLE: return &triVerts[(o+3)*3];
809: case DM_POLYTOPE_QUADRILATERAL: return &quadVerts[(o+4)*4];
810: case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegVerts[(o+2)*4];
811: case DM_POLYTOPE_TETRAHEDRON: return &tetVerts[(o+12)*4];
812: case DM_POLYTOPE_HEXAHEDRON: return &hexVerts[(o+24)*8];
813: case DM_POLYTOPE_TRI_PRISM: return &tripVerts[(o+6)*6];
814: case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriVerts[(o+6)*6];
815: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadVerts[(o+8)*8];
816: case DM_POLYTOPE_PYRAMID: return &pyrVerts[(o+4)*5];
817: default: return NULL;
818: }
819: }
821: /* This is orientation o1 acting on orientation o2 */
822: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
823: {
824: static const PetscInt segMult[2*2] = {
825: 0, -1,
826: -1, 0};
827: static const PetscInt triMult[6*6] = {
828: 0, 2, 1, -3, -1, -2,
829: 1, 0, 2, -2, -3, -1,
830: 2, 1, 0, -1, -2, -3,
831: -3, -2, -1, 0, 1, 2,
832: -2, -1, -3, 1, 2, 0,
833: -1, -3, -2, 2, 0, 1};
834: static const PetscInt quadMult[8*8] = {
835: 0, 3, 2, 1, -4, -1, -2, -3,
836: 1, 0, 3, 2, -3, -4, -1, -2,
837: 2, 1, 0, 3, -2, -3, -4, -1,
838: 3, 2, 1, 0, -1, -2, -3, -4,
839: -4, -3, -2, -1, 0, 1, 2, 3,
840: -3, -2, -1, -4, 1, 2, 3, 0,
841: -2, -1, -4, -3, 2, 3, 0, 1,
842: -1, -4, -3, -2, 3, 0, 1, 2};
843: static const PetscInt tsegMult[4*4] = {
844: 0, 1, -2, -1,
845: 1, 0, -1, -2,
846: -2, -1, 0, 1,
847: -1, -2, 1, 0};
848: static const PetscInt tetMult[24*24] = {
849: 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8,
850: 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7,
851: 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9,
852: 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2,
853: 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1,
854: 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3,
855: 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5,
856: 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4,
857: 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6,
858: 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11,
859: 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10,
860: 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12,
861: -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
862: -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9,
863: -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10,
864: -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5,
865: -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3,
866: -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4,
867: -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2,
868: -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0,
869: -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1,
870: -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8,
871: -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6,
872: -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7,
873: };
874: static const PetscInt hexMult[48*48] = {
875: 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,
876: 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,
877: 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,
878: 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,
879: 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,
880: 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,
881: 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,
882: 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,
883: 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,
884: 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,
885: 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,
886: 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,
887: 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,
888: 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,
889: 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,
890: 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,
891: 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,
892: 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,
893: 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,
894: 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,
895: 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,
896: 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,
897: 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,
898: 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,
899: -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,
900: -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,
901: -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,
902: -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,
903: -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,
904: -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,
905: -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,
906: -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,
907: -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,
908: -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,
909: -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,
910: -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,
911: -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,
912: -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,
913: -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,
914: -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,
915: -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,
916: -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,
917: -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,
918: -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,
919: -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,
920: -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,
921: -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,
922: -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,
923: };
924: static const PetscInt tripMult[12*12] = {
925: 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1,
926: 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2,
927: 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3,
928: 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4,
929: 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5,
930: 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6,
931: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,
932: -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4,
933: -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3,
934: -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2,
935: -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1,
936: -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0,
937: };
938: static const PetscInt ttriMult[12*12] = {
939: 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2,
940: 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1,
941: 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3,
942: 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5,
943: 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4,
944: 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6,
945: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,
946: -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3,
947: -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4,
948: -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2,
949: -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0,
950: -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1,
951: };
952: static const PetscInt tquadMult[16*16] = {
953: 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3,
954: 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2,
955: 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1,
956: 3, 2, 1, 0, 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4,
957: 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7,
958: 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6,
959: 6, 5, 4, 7, 2, 1, 0, 3, -2, -3, -4, -1, -6, -7, -8, -5,
960: 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8,
961: -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,
962: -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0, 5, 6, 7, 4,
963: -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5,
964: -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6,
965: -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3,
966: -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0,
967: -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1,
968: -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2,
969: };
970: static const PetscInt pyrMult[8*8] = {
971: 0, 3, 2, 1, -4, -1, -2, -3,
972: 1, 0, 3, 2, -3, -4, -1, -2,
973: 2, 1, 0, 3, -2, -3, -4, -1,
974: 3, 2, 1, 0, -1, -2, -3, -4,
975: -4, -3, -2, -1, 0, 1, 2, 3,
976: -3, -2, -1, -4, 1, 2, 3, 0,
977: -2, -1, -4, -3, 2, 3, 0, 1,
978: -1, -4, -3, -2, 3, 0, 1, 2,
979: };
980: switch (ct) {
981: case DM_POLYTOPE_POINT: return 0;
982: case DM_POLYTOPE_SEGMENT:
983: case DM_POLYTOPE_POINT_PRISM_TENSOR: return segMult[(o1+1)*2+o2+1];
984: case DM_POLYTOPE_TRIANGLE: return triMult[(o1+3)*6+o2+3];
985: case DM_POLYTOPE_QUADRILATERAL: return quadMult[(o1+4)*8+o2+4];
986: case DM_POLYTOPE_SEG_PRISM_TENSOR: return tsegMult[(o1+2)*4+o2+2];
987: case DM_POLYTOPE_TETRAHEDRON: return tetMult[(o1+12)*24+o2+12];
988: case DM_POLYTOPE_HEXAHEDRON: return hexMult[(o1+24)*48+o2+24];
989: case DM_POLYTOPE_TRI_PRISM: return tripMult[(o1+6)*12+o2+6];
990: case DM_POLYTOPE_TRI_PRISM_TENSOR: return ttriMult[(o1+6)*12+o2+6];
991: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return tquadMult[(o1+8)*16+o2+8];
992: case DM_POLYTOPE_PYRAMID: return pyrMult[(o1+4)*8+o2+4];
993: default: return 0;
994: }
995: }
997: /* This is orientation o1 acting on orientation o2^{-1} */
998: PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
999: {
1000: static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1};
1001: static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1002: 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};
1003: 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,
1004: 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22};
1005: static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1006: static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1007: static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1008: static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1009: switch (ct) {
1010: case DM_POLYTOPE_POINT: return 0;
1011: case DM_POLYTOPE_SEGMENT:
1012: case DM_POLYTOPE_POINT_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1013: case DM_POLYTOPE_TRIANGLE: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2+3]);
1014: case DM_POLYTOPE_QUADRILATERAL: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2+4]);
1015: case DM_POLYTOPE_SEG_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1016: case DM_POLYTOPE_TETRAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2+12]);
1017: case DM_POLYTOPE_HEXAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2+24]);
1018: case DM_POLYTOPE_TRI_PRISM: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2+6]);
1019: case DM_POLYTOPE_TRI_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2+6]);
1020: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2+8]);
1021: case DM_POLYTOPE_PYRAMID: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2+4]);
1022: default: return 0;
1023: }
1024: }
1026: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1027: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1028: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1029: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1030: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);
1032: #endif