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 <petscmat.h>
  6: #include <petscdmtypes.h>
  7: #include <petscfetypes.h>
  8: #include <petscdstypes.h>
  9: #include <petscdmlabel.h>
 10: #include <petscdt.h>

 12: /* SUBMANSEC = DM */

 14: PETSC_EXTERN PetscErrorCode DMInitializePackage(void);

 16: PETSC_EXTERN PetscClassId DM_CLASSID;

 18: #define DMLOCATEPOINT_POINT_NOT_FOUND -367

 20: /*J
 21:     DMType - String with the name of a PETSc `DM`

 23:    Level: beginner

 25: .seealso: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `DM`
 26: J*/
 27: typedef const char *DMType;
 28: #define DMDA        "da"
 29: #define DMCOMPOSITE "composite"
 30: #define DMSLICED    "sliced"
 31: #define DMSHELL     "shell"
 32: #define DMPLEX      "plex"
 33: #define DMREDUNDANT "redundant"
 34: #define DMPATCH     "patch"
 35: #define DMMOAB      "moab"
 36: #define DMNETWORK   "network"
 37: #define DMFOREST    "forest"
 38: #define DMP4EST     "p4est"
 39: #define DMP8EST     "p8est"
 40: #define DMSWARM     "swarm"
 41: #define DMPRODUCT   "product"
 42: #define DMSTAG      "stag"

 44: PETSC_EXTERN const char *const       DMBoundaryTypes[];
 45: PETSC_EXTERN const char *const       DMBoundaryConditionTypes[];
 46: PETSC_EXTERN const char *const       DMBlockingTypes[];
 47: PETSC_EXTERN PetscFunctionList       DMList;
 48: PETSC_EXTERN DMGeneratorFunctionList DMGenerateList;
 49: PETSC_EXTERN PetscErrorCode          DMCreate(MPI_Comm, DM *);
 50: PETSC_EXTERN PetscErrorCode          DMClone(DM, DM *);
 51: PETSC_EXTERN PetscErrorCode          DMSetType(DM, DMType);
 52: PETSC_EXTERN PetscErrorCode          DMGetType(DM, DMType *);
 53: PETSC_EXTERN PetscErrorCode          DMRegister(const char[], PetscErrorCode (*)(DM));
 54: PETSC_EXTERN PetscErrorCode          DMRegisterDestroy(void);

 56: PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer);
 57: PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer);
 58: PETSC_EXTERN PetscErrorCode DMDestroy(DM *);
 59: PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *);
 60: PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *);
 61: PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *);
 62: PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *);
 63: PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *);
 64: PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *);
 65: PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM);
 66: PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM);
 67: PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM);
 68: PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM);
 69: PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *);
 70: PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *);
 71: PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *);
 72: PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *);
 73: PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *);
 74: PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *);
 75: PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *);
 76: PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **);
 77: PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *);
 78: PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *);
 79: PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *);
 80: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool);
 81: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool);
 82: PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool);
 83: PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType);
 84: PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *);
 85: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *);
 86: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *);
 87: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *);
 88: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *);
 89: PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *);
 90: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *);
 91: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *);
 92: PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *);
 93: PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *);
 94: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *);
 95: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM);
 96: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *);
 97: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM);
 98: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]);
 99: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]);
100: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
101: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
102: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
103: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
104: PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM);
105: PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM);
106: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec);
107: PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *);
108: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
109: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]);

111: PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *);
112: PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt);
113: PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void);
114: PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void);
115: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *);
116: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *);

118: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
119: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *);
120: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *);
121: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
122: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
123: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec);
124: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec);
125: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec);
126: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec);
127: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec);
128: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec);
129: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec);
130: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec);
131: PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *);

133: /* Topology support */
134: PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *);
135: PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt);
136: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *);
137: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *);
138: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool);
139: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **);

141: /* Coordinate support */
142: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *);
143: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM);
144: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *);
145: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM);
146: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *);
147: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt);
148: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *);
149: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection);
150: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *);
151: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection);
152: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *);
153: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec);
154: PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *);
155: PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec);
156: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
157: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *);
158: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *);
159: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *);
160: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec);
161: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM);
162: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *);
163: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *);
164: PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec);
165: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *);
166: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField);
167: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]);
168: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]);
169: PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM, PetscFE);
170: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *);

172: /* Periodicity support */
173: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
174: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]);
175: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
176: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
177: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *);
178: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *);

180: /* block hook interface */
181: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
182: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
183: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM);

185: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]);
186: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]);
187: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]);
188: PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType);
189: PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *);
190: PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType);
191: PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *);
192: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType);
193: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *);
194: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *);
195: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **));
196: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *);
197: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec));
198: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *);
199: PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *);
200: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *);
201: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *);
202: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec);

204: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
205: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
206: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
207: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *);
208: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **);
209: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **);
210: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);

212: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *);
213: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt);
214: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *);
215: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt);
216: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);

218: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *);
219: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
220: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *);
221: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
222: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring);

224: typedef struct NLF_DAAD *NLF;

226: #define DM_FILE_CLASSID 1211221

228: /* FEM support */
229: PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]);
230: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]);
231: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]);
232: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec);

234: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
235: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
236: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
237: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));

239: PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */
240: PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection);   /* Use DMSetLocalSection() in new code (since v3.12) */
241: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
242: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
243: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
244: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
245: PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool);
246: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s)
247: {
248:   return DMGetSection(dm, s);
249: }
250: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s)
251: {
252:   return DMSetSection(dm, s);
253: }
254: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s)
255: {
256:   return DMGetGlobalSection(dm, s);
257: }
258: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s)
259: {
260:   return DMSetGlobalSection(dm, s);
261: }

263: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *);
264: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
265: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
266: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s)
267: {
268:   return DMGetSectionSF(dm, s);
269: }
270: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s)
271: {
272:   return DMSetSectionSF(dm, s);
273: }
274: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g)
275: {
276:   return DMCreateSectionSF(dm, l, g);
277: }
278: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
279: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
280: PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *);
281: PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF);

283: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *);
284: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec);

286: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
287: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
288: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
289: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *);

291: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
292: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
293: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
294: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
295: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
296: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
297: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
298: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
299: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM);
300: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
301: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
302: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
303: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);

305: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
306: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
307: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *);
308: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *);
309: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS);
310: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *);
311: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS);
312: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
313: PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *);
314: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
315: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
316: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM);
317: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
318: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
319: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
320: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *);
321: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec);
322: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]);
323: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);

325: /*MC
326:   DMInterpolationInfo - Structure for holding information about interpolation on a mesh

328:   Synopsis:
329:     comm   - The communicator
330:     dim    - The spatial dimension of points
331:     nInput - The number of input points
332:     points - The input point coordinates
333:     cells  - The cell containing each point
334:     n      - The number of local points
335:     coords - The point coordinates
336:     dof    - The number of components to interpolate

338:   Level: intermediate

340: .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()`
341: M*/
342: struct _DMInterpolationInfo {
343:   MPI_Comm   comm;
344:   PetscInt   dim;    /*1 The spatial dimension of points */
345:   PetscInt   nInput; /* The number of input points */
346:   PetscReal *points; /* The input point coordinates */
347:   PetscInt  *cells;  /* The cell containing each point */
348:   PetscInt   n;      /* The number of local points */
349:   Vec        coords; /* The point coordinates */
350:   PetscInt   dof;    /* The number of components to interpolate */
351: };
352: typedef struct _DMInterpolationInfo *DMInterpolationInfo;

354: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
355: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
356: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
357: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
358: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
359: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
360: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
361: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
362: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
363: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
364: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
365: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);

367: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]);
368: PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]);
369: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
370: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
371: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
372: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
373: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
374: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *);
375: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *);
376: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS);
377: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
378: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
379: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
380: PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *);

382: /*E
383:    DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name

385:    Values:
386: +  `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source
387: .  `DM_COPY_LABELS_KEEP`    - keep destination label
388: -  `DM_COPY_LABELS_FAIL`    - generate an error

390:    Level: advanced

392: .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()`
393: E*/
394: typedef enum {
395:   DM_COPY_LABELS_REPLACE,
396:   DM_COPY_LABELS_KEEP,
397:   DM_COPY_LABELS_FAIL
398: } DMCopyLabelsMode;
399: PETSC_EXTERN const char *const DMCopyLabelsModes[];

401: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
402: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **);
403: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *);
404: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
405: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
406: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
407: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
408: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *);
409: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
410: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode);
411: PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **);

413: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
414: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);

416: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
417: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
418: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
419: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
420: 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);
421: PETSC_EXTERN PetscErrorCode DMProjectFieldLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
422: 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);
423: 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);
424: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
425: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
426: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
427: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
428: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *);
429: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);

431: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *);

433: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **));
434: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
435: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
436: PETSC_EXTERN PetscErrorCode DMMonitor(DM);

438: static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
439: {
440:   switch (ct) {
441:   case DM_POLYTOPE_POINT:
442:     return 0;
443:   case DM_POLYTOPE_SEGMENT:
444:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
445:     return 1;
446:   case DM_POLYTOPE_TRIANGLE:
447:   case DM_POLYTOPE_QUADRILATERAL:
448:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
449:     return 2;
450:   case DM_POLYTOPE_TETRAHEDRON:
451:   case DM_POLYTOPE_HEXAHEDRON:
452:   case DM_POLYTOPE_TRI_PRISM:
453:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
454:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
455:   case DM_POLYTOPE_PYRAMID:
456:     return 3;
457:   default:
458:     return -1;
459:   }
460: }

462: static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
463: {
464:   switch (ct) {
465:   case DM_POLYTOPE_POINT:
466:     return 0;
467:   case DM_POLYTOPE_SEGMENT:
468:     return 2;
469:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
470:     return 2;
471:   case DM_POLYTOPE_TRIANGLE:
472:     return 3;
473:   case DM_POLYTOPE_QUADRILATERAL:
474:     return 4;
475:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
476:     return 4;
477:   case DM_POLYTOPE_TETRAHEDRON:
478:     return 4;
479:   case DM_POLYTOPE_HEXAHEDRON:
480:     return 6;
481:   case DM_POLYTOPE_TRI_PRISM:
482:     return 5;
483:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
484:     return 5;
485:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
486:     return 6;
487:   case DM_POLYTOPE_PYRAMID:
488:     return 5;
489:   default:
490:     return -1;
491:   }
492: }

494: static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
495: {
496:   switch (ct) {
497:   case DM_POLYTOPE_POINT:
498:     return 1;
499:   case DM_POLYTOPE_SEGMENT:
500:     return 2;
501:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
502:     return 2;
503:   case DM_POLYTOPE_TRIANGLE:
504:     return 3;
505:   case DM_POLYTOPE_QUADRILATERAL:
506:     return 4;
507:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
508:     return 4;
509:   case DM_POLYTOPE_TETRAHEDRON:
510:     return 4;
511:   case DM_POLYTOPE_HEXAHEDRON:
512:     return 8;
513:   case DM_POLYTOPE_TRI_PRISM:
514:     return 6;
515:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
516:     return 6;
517:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
518:     return 8;
519:   case DM_POLYTOPE_PYRAMID:
520:     return 5;
521:   default:
522:     return -1;
523:   }
524: }

526: static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
527: {
528:   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)));
529: }

531: static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct)
532: {
533:   switch (ct) {
534:   case DM_POLYTOPE_POINT:
535:     return 1;
536:   case DM_POLYTOPE_SEGMENT:
537:     return 2;
538:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
539:     return 2;
540:   case DM_POLYTOPE_TRIANGLE:
541:     return 6;
542:   case DM_POLYTOPE_QUADRILATERAL:
543:     return 8;
544:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
545:     return 4;
546:   case DM_POLYTOPE_TETRAHEDRON:
547:     return 24;
548:   case DM_POLYTOPE_HEXAHEDRON:
549:     return 48;
550:   case DM_POLYTOPE_TRI_PRISM:
551:     return 12;
552:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
553:     return 12;
554:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
555:     return 16;
556:   case DM_POLYTOPE_PYRAMID:
557:     return 8;
558:   default:
559:     return -1;
560:   }
561: }

563: /* An arrangement is a face order combined with an orientation for each face */
564: static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o)
565: {
566:   static const PetscInt pntArr[1 * 2] = {0, 0};
567:   /* a: swap */
568:   static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */
569:                                              0, 0, 1, 0,
570:                                              /*  0: e */};
571:   /* a: swap first two
572:      b: swap last two */
573:   static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */
574:                                              2, -1, 1, -1, 0, -1, /* -2: aba */
575:                                              1, -1, 0, -1, 2, -1, /* -1: a */
576:                                              0, 0,  1, 0,  2, 0,  /*  0: identity */
577:                                              1, 0,  2, 0,  0, 0,  /*  1: ba */
578:                                              2, 0,  0, 0,  1, 0,
579:                                              /*  2: ab */};
580:   /* a: forward cyclic permutation
581:      b: swap first and last pairs */
582:   static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
583:                                               0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
584:                                               3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
585:                                               2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a   = a^3 b */
586:                                               0, 0,  1, 0,  2, 0,  3, 0,  /*  0: identity */
587:                                               1, 0,  2, 0,  3, 0,  0, 0,  /*  1: a */
588:                                               2, 0,  3, 0,  0, 0,  1, 0,  /*  2: a^2 */
589:                                               3, 0,  0, 0,  1, 0,  2, 0,
590:                                               /*  3: a^3 */};
591:   /* r: rotate 180
592:      b: swap top and bottom segments */
593:   static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
594:                                               0, -1, 1, -1, 3, 0,  2, 0,  /* -1: r */
595:                                               0, 0,  1, 0,  2, 0,  3, 0,  /*  0: identity */
596:                                               1, 0,  0, 0,  2, -1, 3, -1,
597:                                               /*  1: b */};
598:   /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
599:   static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324)   p22 */
600:                                               3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14)     p21 */
601:                                               3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234)   p18 */
602:                                               2, -1, 3, -1, 1, -3, 0, -2, /*  -9: (1423)   p17 */
603:                                               2, -3, 0, -1, 3, -2, 1, -3, /*  -8: (1342)   p13 */
604:                                               2, -2, 1, -2, 0, -2, 3, -2, /*  -7: (24)     p14 */
605:                                               1, -2, 0, -2, 2, -2, 3, -1, /*  -6: (34)     p6  */
606:                                               1, -1, 3, -3, 0, -3, 2, -2, /*  -5: (1243)   p10 */
607:                                               1, -3, 2, -1, 3, -1, 0, -3, /*  -4: (1432)   p9  */
608:                                               0, -3, 1, -1, 3, -3, 2, -3, /*  -3: (12)     p1  */
609:                                               0, -2, 2, -2, 1, -2, 3, -3, /*  -2: (23)     p2  */
610:                                               0, -1, 3, -2, 2, -3, 1, -2, /*  -1: (13)     p5  */
611:                                               0, 0,  1, 0,  2, 0,  3, 0,  /*   0: ()       p0  */
612:                                               0, 1,  3, 1,  1, 2,  2, 0,  /*   1: (123)    p4  */
613:                                               0, 2,  2, 1,  3, 0,  1, 2,  /*   2: (132)    p3  */
614:                                               1, 2,  0, 1,  3, 1,  2, 2,  /*   3: (12)(34) p7  */
615:                                               1, 0,  2, 0,  0, 0,  3, 1,  /*   4: (243)    p8  */
616:                                               1, 1,  3, 2,  2, 2,  0, 0,  /*   5: (143)    p11 */
617:                                               2, 1,  3, 0,  0, 2,  1, 0,  /*   6: (13)(24) p16 */
618:                                               2, 2,  1, 1,  3, 2,  0, 2,  /*   7: (142)    p15 */
619:                                               2, 0,  0, 0,  1, 0,  3, 2,  /*   8: (234)    p12 */
620:                                               3, 2,  2, 2,  1, 1,  0, 1,  /*   9: (14)(23) p23 */
621:                                               3, 0,  0, 2,  2, 1,  1, 1,  /*  10: (134)    p19 */
622:                                               3, 1,  1, 2,  0, 1,  2, 1 /*  11: (124)    p20 */};
623:   /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
624:   static const PetscInt hexArr[48 * 6 * 2] = {
625:     2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
626:     4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
627:     5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
628:     3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
629:     3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
630:     4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
631:     2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
632:     5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
633:     4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
634:     5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
635:     3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
636:     2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
637:     1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
638:     1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
639:     5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
640:     1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /*  -9: reflect bottom and use -3 on top */
641:     4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /*  -8: reflect bottom and use -3 on top */
642:     3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /*  -7: reflect bottom and use -3 on top */
643:     1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /*  -6: reflect bottom and use -3 on top */
644:     2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /*  -5: reflect bottom and use -3 on top */
645:     0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /*  -4: reflect bottom and use -3 on top */
646:     0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /*  -3: reflect bottom and use -3 on top */
647:     0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /*  -2: reflect bottom and use -3 on top */
648:     0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /*  -1: reflect bottom and use -3 on top */
649:     0, 0,  1, 0,  2, 0,  3, 0,  4, 0,  5, 0,  /*   0: identity */
650:     0, 1,  1, 3,  5, 3,  4, 0,  2, 0,  3, 1,  /*   1: 90  rotation about z */
651:     0, 2,  1, 2,  3, 0,  2, 0,  5, 3,  4, 1,  /*   2: 180 rotation about z */
652:     0, 3,  1, 1,  4, 0,  5, 3,  3, 0,  2, 1,  /*   3: 270 rotation about z */
653:     2, 3,  3, 2,  1, 0,  0, 3,  4, 3,  5, 1,  /*   4: 90  rotation about x */
654:     1, 3,  0, 1,  3, 2,  2, 2,  4, 2,  5, 2,  /*   5: 180 rotation about x */
655:     3, 1,  2, 0,  0, 1,  1, 2,  4, 1,  5, 3,  /*   6: 270 rotation about x */
656:     4, 0,  5, 0,  2, 1,  3, 3,  1, 1,  0, 3,  /*   7: 90  rotation about y */
657:     1, 1,  0, 3,  2, 2,  3, 2,  5, 1,  4, 3,  /*   8: 180 rotation about y */
658:     5, 1,  4, 3,  2, 3,  3, 1,  0, 0,  1, 0,  /*   9: 270 rotation about y */
659:     1, 0,  0, 0,  5, 1,  4, 2,  3, 2,  2, 3,  /*  10: 180 rotation about x+y */
660:     1, 2,  0, 2,  4, 2,  5, 1,  2, 2,  3, 3,  /*  11: 180 rotation about x-y */
661:     2, 1,  3, 0,  0, 3,  1, 0,  5, 0,  4, 0,  /*  12: 180 rotation about y+z */
662:     3, 3,  2, 2,  1, 2,  0, 1,  5, 2,  4, 2,  /*  13: 180 rotation about y-z */
663:     5, 3,  4, 1,  3, 1,  2, 3,  1, 3,  0, 1,  /*  14: 180 rotation about z+x */
664:     4, 2,  5, 2,  3, 3,  2, 1,  0, 2,  1, 2,  /*  15: 180 rotation about z-x */
665:     5, 0,  4, 0,  0, 0,  1, 3,  3, 1,  2, 0,  /*  16: 120 rotation about x+y+z (v0v6) */
666:     2, 0,  3, 1,  5, 0,  4, 3,  1, 0,  0, 0,  /*  17: 240 rotation about x+y+z (v0v6) */
667:     4, 3,  5, 1,  1, 1,  0, 2,  3, 3,  2, 2,  /*  18: 120 rotation about x+y-z (v4v2) */
668:     3, 2,  2, 3,  5, 2,  4, 1,  0, 1,  1, 3,  /*  19: 240 rotation about x+y-z (v4v2) */
669:     3, 0,  2, 1,  4, 1,  5, 2,  1, 2,  0, 2,  /*  20: 120 rotation about x-y+z (v1v5) */
670:     5, 2,  4, 2,  1, 3,  0, 0,  2, 3,  3, 2,  /*  21: 240 rotation about x-y+z (v1v5) */
671:     4, 1,  5, 3,  0, 2,  1, 1,  2, 1,  3, 0,  /*  22: 120 rotation about x-y-z (v7v3) */
672:     2, 2,  3, 3,  4, 3,  5, 0,  0, 3,  1, 1,  /*  23: 240 rotation about x-y-z (v7v3) */
673:   };
674:   static const PetscInt tripArr[12 * 5 * 2] = {
675:     1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
676:     1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
677:     1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
678:     0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
679:     0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
680:     0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
681:     0, 0,  1, 0,  2, 0,  3, 0,  4, 0,  /*  0: identity */
682:     0, 1,  1, 2,  4, 0,  2, 0,  3, 0,  /*  1: 120 rotation about z */
683:     0, 2,  1, 1,  3, 0,  4, 0,  2, 0,  /*  2: 240 rotation about z */
684:     1, 1,  0, 2,  2, 2,  4, 2,  3, 2,  /*  3: 180 rotation about y of 0 */
685:     1, 0,  0, 0,  4, 2,  3, 2,  2, 2,  /*  4: 180 rotation about y of 1 */
686:     1, 2,  0, 1,  3, 2,  2, 2,  4, 2,  /*  5: 180 rotation about y of 2 */
687:   };
688:   /* a: rotate 120 about z
689:      b: swap top and bottom segments
690:      r: reflect */
691:   static const PetscInt ttriArr[12 * 5 * 2] = {
692:     1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
693:     1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
694:     1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
695:     0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
696:     0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
697:     0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
698:     0, 0,  1, 0,  2, 0,  3, 0,  4, 0,  /*  0: identity */
699:     0, 1,  1, 1,  3, 0,  4, 0,  2, 0,  /*  1: a */
700:     0, 2,  1, 2,  4, 0,  2, 0,  3, 0,  /*  2: a^2 */
701:     1, 0,  0, 0,  2, 1,  3, 1,  4, 1,  /*  3: b */
702:     1, 1,  0, 1,  3, 1,  4, 1,  2, 1,  /*  4: b a */
703:     1, 2,  0, 2,  4, 1,  2, 1,  3, 1,  /*  5: b a^2 */
704:   };
705:   /* a: rotate 90 about z
706:      b: swap top and bottom segments
707:      r: reflect */
708:   static const PetscInt tquadArr[16 * 6 * 2] = {
709:     1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
710:     1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
711:     1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
712:     1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
713:     0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
714:     0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
715:     0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
716:     0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
717:     0, 0,  1, 0,  2, 0,  3, 0,  4, 0,  5, 0,  /*  0: identity */
718:     0, 1,  1, 1,  3, 0,  4, 0,  5, 0,  2, 0,  /*  1: a */
719:     0, 2,  1, 2,  4, 0,  5, 0,  2, 0,  3, 0,  /*  2: a^2 */
720:     0, 3,  1, 3,  5, 0,  2, 0,  3, 0,  4, 0,  /*  3: a^3 */
721:     1, 0,  0, 0,  2, 1,  3, 1,  4, 1,  5, 1,  /*  4: b */
722:     1, 1,  0, 1,  3, 1,  4, 1,  5, 1,  2, 1,  /*  5: b a */
723:     1, 2,  0, 2,  4, 1,  5, 1,  2, 1,  3, 1,  /*  6: b a^2 */
724:     1, 3,  0, 3,  5, 1,  2, 1,  3, 1,  4, 1,  /*  7: b a^3 */
725:   };
726:   static const PetscInt pyrArr[8 * 5 * 2] = {
727:     0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
728:     0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
729:     0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
730:     0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
731:     0, 0,  1, 0,  2, 0,  3, 0,  4, 0,  /*  0: identity */
732:     0, 1,  4, 0,  1, 0,  2, 0,  3, 0,  /*  1:  90 rotation about z */
733:     0, 2,  3, 0,  4, 0,  1, 0,  2, 0,  /*  2: 180 rotation about z */
734:     0, 3,  2, 0,  3, 0,  4, 0,  1, 0,  /*  3: 270 rotation about z */
735:   };
736:   switch (ct) {
737:   case DM_POLYTOPE_POINT:
738:     return pntArr;
739:   case DM_POLYTOPE_SEGMENT:
740:     return &segArr[(o + 1) * 2 * 2];
741:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
742:     return &segArr[(o + 1) * 2 * 2];
743:   case DM_POLYTOPE_TRIANGLE:
744:     return &triArr[(o + 3) * 3 * 2];
745:   case DM_POLYTOPE_QUADRILATERAL:
746:     return &quadArr[(o + 4) * 4 * 2];
747:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
748:     return &tsegArr[(o + 2) * 4 * 2];
749:   case DM_POLYTOPE_TETRAHEDRON:
750:     return &tetArr[(o + 12) * 4 * 2];
751:   case DM_POLYTOPE_HEXAHEDRON:
752:     return &hexArr[(o + 24) * 6 * 2];
753:   case DM_POLYTOPE_TRI_PRISM:
754:     return &tripArr[(o + 6) * 5 * 2];
755:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
756:     return &ttriArr[(o + 6) * 5 * 2];
757:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
758:     return &tquadArr[(o + 8) * 6 * 2];
759:   case DM_POLYTOPE_PYRAMID:
760:     return &pyrArr[(o + 4) * 5 * 2];
761:   default:
762:     return PETSC_NULLPTR;
763:   }
764: }

766: /* A vertex arrangement is a vertex order */
767: static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o)
768: {
769:   static const PetscInt pntVerts[1]      = {0};
770:   static const PetscInt segVerts[2 * 2]  = {1, 0, 0, 1};
771:   static const PetscInt triVerts[6 * 3]  = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1};
772:   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};
773:   static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1};
774:   static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324)   p22 */
775:                                             3, 1, 2, 0, /* -11: (14)     p21 */
776:                                             1, 2, 3, 0, /* -10: (1234)   p18 */
777:                                             3, 2, 0, 1, /*  -9: (1423)   p17 */
778:                                             2, 0, 3, 1, /*  -8: (1342)   p13 */
779:                                             0, 3, 2, 1, /*  -7: (24)     p14 */
780:                                             0, 1, 3, 2, /*  -6: (34)     p6  */
781:                                             1, 3, 0, 2, /*  -5: (1243)   p10 */
782:                                             3, 0, 1, 2, /*  -4: (1432    p9  */
783:                                             1, 0, 2, 3, /*  -3: (12)     p1  */
784:                                             0, 2, 1, 3, /*  -2: (23)     p2  */
785:                                             2, 1, 0, 3, /*  -1: (13)     p5  */
786:                                             0, 1, 2, 3, /*   0: ()       p0  */
787:                                             1, 2, 0, 3, /*   1: (123)    p4  */
788:                                             2, 0, 1, 3, /*   2: (132)    p3  */
789:                                             1, 0, 3, 2, /*   3: (12)(34) p7  */
790:                                             0, 3, 1, 2, /*   4: (243)    p8  */
791:                                             3, 1, 0, 2, /*   5: (143)    p11 */
792:                                             2, 3, 0, 1, /*   6: (13)(24) p16 */
793:                                             3, 0, 2, 1, /*   7: (142)    p15 */
794:                                             0, 2, 3, 1, /*   8: (234)    p12 */
795:                                             3, 2, 1, 0, /*   9: (14)(23) p23 */
796:                                             2, 1, 3, 0, /*  10: (134)    p19 */
797:                                             1, 3, 2, 0 /*  11: (124)    p20 */};
798:   static const PetscInt hexVerts[48 * 8] = {
799:     3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
800:     3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
801:     4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
802:     6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
803:     1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
804:     6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
805:     4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
806:     1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
807:     2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
808:     7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
809:     7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
810:     0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
811:     5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
812:     7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
813:     0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected  9 */
814:     4, 7, 6, 5, 0, 3, 2, 1, /*  -9: reflected  8 */
815:     5, 6, 2, 3, 4, 0, 1, 7, /*  -8: reflected  7 */
816:     2, 6, 7, 1, 3, 0, 4, 5, /*  -7: reflected  6 */
817:     6, 5, 4, 7, 2, 1, 0, 3, /*  -6: reflected  5 */
818:     5, 3, 0, 4, 6, 7, 1, 2, /*  -5: reflected  4 */
819:     2, 1, 0, 3, 6, 5, 4, 7, /*  -4: reflected  3 */
820:     1, 0, 3, 2, 7, 6, 5, 4, /*  -3: reflected  2 */
821:     0, 3, 2, 1, 4, 7, 6, 5, /*  -2: reflected  1 */
822:     3, 2, 1, 0, 5, 4, 7, 6, /*  -1: reflected  0 */
823:     0, 1, 2, 3, 4, 5, 6, 7, /*   0: identity */
824:     1, 2, 3, 0, 7, 4, 5, 6, /*   1: 90  rotation about z */
825:     2, 3, 0, 1, 6, 7, 4, 5, /*   2: 180 rotation about z */
826:     3, 0, 1, 2, 5, 6, 7, 4, /*   3: 270 rotation about z */
827:     4, 0, 3, 5, 7, 6, 2, 1, /*   4: 90  rotation about x */
828:     7, 4, 5, 6, 1, 2, 3, 0, /*   5: 180 rotation about x */
829:     1, 7, 6, 2, 0, 3, 5, 4, /*   6: 270 rotation about x */
830:     3, 2, 6, 5, 0, 4, 7, 1, /*   7: 90  rotation about y */
831:     5, 6, 7, 4, 3, 0, 1, 2, /*   8: 180 rotation about y */
832:     4, 7, 1, 0, 5, 3, 2, 6, /*   9: 270 rotation about y */
833:     4, 5, 6, 7, 0, 1, 2, 3, /*  10: 180 rotation about x+y */
834:     6, 7, 4, 5, 2, 3, 0, 1, /*  11: 180 rotation about x-y */
835:     3, 5, 4, 0, 2, 1, 7, 6, /*  12: 180 rotation about y+z */
836:     6, 2, 1, 7, 5, 4, 0, 3, /*  13: 180 rotation about y-z */
837:     1, 0, 4, 7, 2, 6, 5, 3, /*  14: 180 rotation about z+x */
838:     6, 5, 3, 2, 7, 1, 0, 4, /*  15: 180 rotation about z-x */
839:     0, 4, 7, 1, 3, 2, 6, 5, /*  16: 120 rotation about x+y+z (v0v6) */
840:     0, 3, 5, 4, 1, 7, 6, 2, /*  17: 240 rotation about x+y+z (v0v6) */
841:     5, 3, 2, 6, 4, 7, 1, 0, /*  18: 120 rotation about x+y-z (v4v2) */
842:     7, 6, 2, 1, 4, 0, 3, 5, /*  19: 240 rotation about x+y-z (v4v2) */
843:     2, 1, 7, 6, 3, 5, 4, 0, /*  20: 120 rotation about x-y+z (v1v5) */
844:     7, 1, 0, 4, 6, 5, 3, 2, /*  21: 240 rotation about x-y+z (v1v5) */
845:     2, 6, 5, 3, 1, 0, 4, 7, /*  22: 120 rotation about x-y-z (v7v3) */
846:     5, 4, 0, 3, 6, 2, 1, 7, /*  23: 240 rotation about x-y-z (v7v3) */
847:   };
848:   static const PetscInt tripVerts[12 * 6] = {
849:     4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
850:     5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
851:     3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
852:     1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
853:     0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
854:     2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
855:     0, 1, 2, 3, 4, 5, /*  0: identity */
856:     1, 2, 0, 5, 3, 4, /*  1: 120 rotation about z */
857:     2, 0, 1, 4, 5, 3, /*  2: 240 rotation about z */
858:     4, 5, 3, 2, 0, 1, /*  3: 180 rotation about y of 0 */
859:     3, 4, 5, 0, 1, 2, /*  4: 180 rotation about y of 1 */
860:     5, 3, 4, 1, 2, 0, /*  5: 180 rotation about y of 2 */
861:   };
862:   static const PetscInt ttriVerts[12 * 6] = {
863:     4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
864:     3, 5, 4, 0, 2, 1, /* -5: r b a */
865:     5, 4, 3, 2, 1, 0, /* -4: r b */
866:     1, 0, 2, 4, 3, 5, /* -3: r a^2 */
867:     0, 2, 1, 3, 5, 4, /* -2: r a */
868:     2, 1, 0, 5, 4, 3, /* -1: r */
869:     0, 1, 2, 3, 4, 5, /*  0: identity */
870:     1, 2, 0, 4, 5, 3, /*  1: a */
871:     2, 0, 1, 5, 3, 4, /*  2: a^2 */
872:     3, 4, 5, 0, 1, 2, /*  3: b */
873:     4, 5, 3, 1, 2, 0, /*  4: b a */
874:     5, 3, 4, 2, 0, 1, /*  5: b a^2 */
875:   };
876:   /* a: rotate 90 about z
877:      b: swap top and bottom segments
878:      r: reflect */
879:   static const PetscInt tquadVerts[16 * 8] = {
880:     6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
881:     5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
882:     4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
883:     7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
884:     2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
885:     1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
886:     0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
887:     3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
888:     0, 1, 2, 3, 4, 5, 6, 7, /*  0: identity */
889:     1, 2, 3, 0, 5, 6, 7, 4, /*  1: a */
890:     2, 3, 0, 1, 6, 7, 4, 5, /*  2: a^2 */
891:     3, 0, 1, 2, 7, 4, 5, 6, /*  3: a^3 */
892:     4, 5, 6, 7, 0, 1, 2, 3, /*  4: b */
893:     5, 6, 7, 4, 1, 2, 3, 0, /*  5: b a */
894:     6, 7, 4, 5, 2, 3, 0, 1, /*  6: b a^2 */
895:     7, 4, 5, 6, 3, 0, 1, 2, /*  7: b a^3 */
896:   };
897:   static const PetscInt pyrVerts[8 * 5] = {
898:     2, 1, 0, 3, 4, /* -4: Reflect bottom face */
899:     1, 0, 3, 2, 4, /* -3: Reflect bottom face */
900:     0, 3, 2, 1, 4, /* -2: Reflect bottom face */
901:     3, 2, 1, 0, 4, /* -1: Reflect bottom face */
902:     0, 1, 2, 3, 4, /*  0: identity */
903:     1, 2, 3, 0, 4, /*  1:  90 rotation about z */
904:     2, 3, 0, 1, 4, /*  2: 180 rotation about z */
905:     3, 0, 1, 2, 4, /*  3: 270 rotation about z */
906:   };
907:   switch (ct) {
908:   case DM_POLYTOPE_POINT:
909:     return pntVerts;
910:   case DM_POLYTOPE_SEGMENT:
911:     return &segVerts[(o + 1) * 2];
912:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
913:     return &segVerts[(o + 1) * 2];
914:   case DM_POLYTOPE_TRIANGLE:
915:     return &triVerts[(o + 3) * 3];
916:   case DM_POLYTOPE_QUADRILATERAL:
917:     return &quadVerts[(o + 4) * 4];
918:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
919:     return &tsegVerts[(o + 2) * 4];
920:   case DM_POLYTOPE_TETRAHEDRON:
921:     return &tetVerts[(o + 12) * 4];
922:   case DM_POLYTOPE_HEXAHEDRON:
923:     return &hexVerts[(o + 24) * 8];
924:   case DM_POLYTOPE_TRI_PRISM:
925:     return &tripVerts[(o + 6) * 6];
926:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
927:     return &ttriVerts[(o + 6) * 6];
928:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
929:     return &tquadVerts[(o + 8) * 8];
930:   case DM_POLYTOPE_PYRAMID:
931:     return &pyrVerts[(o + 4) * 5];
932:   default:
933:     return PETSC_NULLPTR;
934:   }
935: }

937: /* This is orientation o1 acting on orientation o2 */
938: static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
939: {
940:   static const PetscInt segMult[2 * 2]   = {0, -1, -1, 0};
941:   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};
942:   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,
943:                                             -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};
944:   static const PetscInt tsegMult[4 * 4]  = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0};
945:   static const PetscInt tetMult[24 * 24] = {
946:     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,
947:     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,
948:     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,
949:     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,
950:     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,
951:     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,
952:     -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,
953:     -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,
954:     -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,
955:     -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,
956:     -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,
957:     -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,
958:   };
959:   static const PetscInt hexMult[48 * 48] = {
960:     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,
961:     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,
962:     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,
963:     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,
964:     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,
965:     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,
966:     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,
967:     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,
968:     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,
969:     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,
970:     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,
971:     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,
972:     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,
973:     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,
974:     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,
975:     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,
976:     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,
977:     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,
978:     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,
979:     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,
980:     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,
981:     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,
982:     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,
983:     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,
984:     -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,
985:     -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,
986:     -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,
987:     -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,
988:     -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,
989:     -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,
990:     -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,
991:     -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,
992:     -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,
993:     -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,
994:     -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,
995:     -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,
996:     -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,
997:     -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,
998:     -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,
999:     -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,
1000:     -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,
1001:     -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,
1002:     -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,
1003:     -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,
1004:     -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,
1005:     -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,
1006:     -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,
1007:     -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,
1008:   };
1009:   static const PetscInt tripMult[12 * 12] = {
1010:     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,
1011:     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,
1012:     -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,
1013:   };
1014:   static const PetscInt ttriMult[12 * 12] = {
1015:     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,
1016:     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,
1017:     -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,
1018:   };
1019:   static const PetscInt tquadMult[16 * 16] = {
1020:     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,
1021:     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,
1022:     -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,
1023:     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,
1024:     -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,
1025:   };
1026:   static const PetscInt pyrMult[8 * 8] = {
1027:     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,
1028:   };
1029:   switch (ct) {
1030:   case DM_POLYTOPE_POINT:
1031:     return 0;
1032:   case DM_POLYTOPE_SEGMENT:
1033:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
1034:     return segMult[(o1 + 1) * 2 + o2 + 1];
1035:   case DM_POLYTOPE_TRIANGLE:
1036:     return triMult[(o1 + 3) * 6 + o2 + 3];
1037:   case DM_POLYTOPE_QUADRILATERAL:
1038:     return quadMult[(o1 + 4) * 8 + o2 + 4];
1039:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
1040:     return tsegMult[(o1 + 2) * 4 + o2 + 2];
1041:   case DM_POLYTOPE_TETRAHEDRON:
1042:     return tetMult[(o1 + 12) * 24 + o2 + 12];
1043:   case DM_POLYTOPE_HEXAHEDRON:
1044:     return hexMult[(o1 + 24) * 48 + o2 + 24];
1045:   case DM_POLYTOPE_TRI_PRISM:
1046:     return tripMult[(o1 + 6) * 12 + o2 + 6];
1047:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
1048:     return ttriMult[(o1 + 6) * 12 + o2 + 6];
1049:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1050:     return tquadMult[(o1 + 8) * 16 + o2 + 8];
1051:   case DM_POLYTOPE_PYRAMID:
1052:     return pyrMult[(o1 + 4) * 8 + o2 + 4];
1053:   default:
1054:     return 0;
1055:   }
1056: }

1058: /* This is orientation o1 acting on orientation o2^{-1} */
1059: static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
1060: {
1061:   static const PetscInt triInv[6]    = {-3, -2, -1, 0, 2, 1};
1062:   static const PetscInt quadInv[8]   = {-4, -3, -2, -1, 0, 3, 2, 1};
1063:   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};
1064:   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};
1065:   static const PetscInt tripInv[12]  = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1066:   static const PetscInt ttriInv[12]  = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1067:   static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1068:   static const PetscInt pyrInv[8]    = {-4, -3, -2, -1, 0, 3, 2, 1};
1069:   switch (ct) {
1070:   case DM_POLYTOPE_POINT:
1071:     return 0;
1072:   case DM_POLYTOPE_SEGMENT:
1073:   case DM_POLYTOPE_POINT_PRISM_TENSOR:
1074:     return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1075:   case DM_POLYTOPE_TRIANGLE:
1076:     return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]);
1077:   case DM_POLYTOPE_QUADRILATERAL:
1078:     return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]);
1079:   case DM_POLYTOPE_SEG_PRISM_TENSOR:
1080:     return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1081:   case DM_POLYTOPE_TETRAHEDRON:
1082:     return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]);
1083:   case DM_POLYTOPE_HEXAHEDRON:
1084:     return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]);
1085:   case DM_POLYTOPE_TRI_PRISM:
1086:     return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]);
1087:   case DM_POLYTOPE_TRI_PRISM_TENSOR:
1088:     return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]);
1089:   case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1090:     return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]);
1091:   case DM_POLYTOPE_PYRAMID:
1092:     return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]);
1093:   default:
1094:     return 0;
1095:   }
1096: }

1098: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1099: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1100: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1101: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1102: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);