/* Objects to manage the interactions between the mesh data structures and the algebraic objects */ #pragma once #include "petscsystypes.h" #include #include #include #include #include #include /* SUBMANSEC = DM */ PETSC_EXTERN PetscErrorCode DMInitializePackage(void); PETSC_EXTERN PetscClassId DM_CLASSID; #define DMLOCATEPOINT_POINT_NOT_FOUND -367 /*J DMType - String with the name of a PETSc `DM`. These are all the `DM` provided by PETSc. Level: beginner Note: These can be used with `DMSetType()` or the options database key `-dm_type` to set the specific data structures and algorithms to use with a specific `DM`. But more commonly one calls directly a constructor for a particular `DMType` such as `DMDACreate()` .seealso: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `DM`, `DMDACreate()` J*/ typedef const char *DMType; #define DMDA "da" #define DMCOMPOSITE "composite" #define DMSLICED "sliced" #define DMSHELL "shell" #define DMPLEX "plex" #define DMREDUNDANT "redundant" #define DMPATCH "patch" #define DMMOAB "moab" #define DMNETWORK "network" #define DMFOREST "forest" #define DMP4EST "p4est" #define DMP8EST "p8est" #define DMSWARM "swarm" #define DMPRODUCT "product" #define DMSTAG "stag" PETSC_EXTERN const char *const DMBoundaryTypes[]; PETSC_EXTERN const char *const DMBoundaryConditionTypes[]; PETSC_EXTERN const char *const DMBlockingTypes[]; PETSC_EXTERN PetscFunctionList DMList; PETSC_EXTERN DMGeneratorFunctionList DMGenerateList; PETSC_EXTERN PetscFunctionList DMGeomModelList; PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *); PETSC_EXTERN PetscErrorCode DMClone(DM, DM *); PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM)); PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer); PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer); PETSC_EXTERN PetscErrorCode DMDestroy(DM *); PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *); PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM); PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM); PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *); PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *); PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *); PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *); PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *); PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *); PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *); PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **); PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *); PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *); PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool); PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool); PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool); PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType); PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *, Vec *); PETSC_EXTERN PetscErrorCode DMCreateGradientMatrix(DM, DM, Mat *); PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, Mat, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, Mat, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); PETSC_EXTERN PetscErrorCode DMGeomModelRegister(const char[], PetscErrorCode (*)(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[])); PETSC_EXTERN PetscErrorCode DMGeomModelRegisterAll(void); PETSC_EXTERN PetscErrorCode DMGeomModelRegisterDestroy(void); PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); PETSC_EXTERN PetscErrorCode DMSetUp(DM); PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *); PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, PetscCtx), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, PetscCtx), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); /* Topology support */ PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt *[]); /* Coordinate support */ PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); PETSC_EXTERN PetscErrorCode DMSetCellCoordinateField(DM, DMField); PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool, PetscBool); PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); PETSC_EXTERN PetscErrorCode DMSnapToGeomModel(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]); PETSC_EXTERN PetscErrorCode DMSetSnapToGeomModel(DM, const char[]); /* Periodicity support */ PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMGetSparseLocalize(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMSetSparseLocalize(DM, PetscBool); /* block hook interface */ PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, PetscCtx), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, PetscCtx), PetscCtx); PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, PetscCtx); PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscCtxDestroyFn *); PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, PetscCtxRt); PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], IS *, DM *); PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS *[], DM *); PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter *[], VecScatter *[], VecScatter *[]); PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); typedef struct NLF_DAAD *NLF; #define DM_FILE_CLASSID 1211221 /* FEM support */ PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]); PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]); PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *); PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *); PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag); PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *); PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType); PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool); static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMGetLocalSection()", ) PetscErrorCode DMGetSection(DM dm, PetscSection *s) { return DMGetLocalSection(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMSetLocalSection()", ) PetscErrorCode DMSetSection(DM dm, PetscSection s) { return DMSetLocalSection(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) { return DMGetLocalSection(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) { return DMSetLocalSection(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) { return DMGetGlobalSection(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) { return DMSetGlobalSection(dm, s); } PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) { return DMGetSectionSF(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) { return DMSetSectionSF(dm, s); } static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) { return DMCreateSectionSF(dm, l, g); } PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *); PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *); PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); PETSC_EXTERN PetscErrorCode DMClearFields(DM); PETSC_EXTERN PetscErrorCode DMCopyFields(DM, PetscInt, PetscInt, DM); PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); PETSC_EXTERN PetscErrorCode DMCreateDS(DM); PETSC_EXTERN PetscErrorCode DMClearDS(DM); PETSC_EXTERN PetscErrorCode DMCopyDS(DM, PetscInt, PetscInt, DM); PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM); /*MC DMInterpolationInfo - Pointer to a structure for holding information about interpolation on a mesh Synopsis: comm - The communicator dim - The spatial dimension of points nInput - The number of input points points[] - The input point coordinates cells[] - The cell containing each point n - The number of local points coords - The point coordinates dof - The number of components to interpolate Level: intermediate .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` M*/ struct _n_DMInterpolationInfo { MPI_Comm comm; PetscInt dim; /* The spatial dimension of points */ PetscInt nInput; /* The number of input points */ PetscReal *points; /* The input point coordinates */ PetscInt *cells; /* The cell containing each point */ PetscInt n; /* The number of local points */ Vec coords; /* The point coordinates */ PetscInt dof; /* The number of components to interpolate */ }; typedef struct _n_DMInterpolationInfo *DMInterpolationInfo; PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); /*E DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name Values: + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source . `DM_COPY_LABELS_KEEP` - keep destination label - `DM_COPY_LABELS_FAIL` - generate an error Level: advanced .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` E*/ typedef enum { DM_COPY_LABELS_REPLACE, DM_COPY_LABELS_KEEP, DM_COPY_LABELS_FAIL } DMCopyLabelsMode; PETSC_EXTERN const char *const DMCopyLabelsModes[]; PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char *[]); PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode); PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char *[]); PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], PetscVoidFn *, PetscVoidFn *, void *, PetscInt *); PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); PETSC_EXTERN PetscErrorCode DMHasBound(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 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); PETSC_EXTERN PetscErrorCode DMProjectFieldLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec); 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); 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); PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, PetscCtx), PetscCtx, PetscCtxDestroyFn *); PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, PetscCtx), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); PETSC_EXTERN PetscErrorCode DMMonitor(DM); static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) { switch (ct) { case DM_POLYTOPE_POINT_PRISM_TENSOR: case DM_POLYTOPE_SEG_PRISM_TENSOR: case DM_POLYTOPE_TRI_PRISM_TENSOR: case DM_POLYTOPE_QUAD_PRISM_TENSOR: return PETSC_TRUE; default: return PETSC_FALSE; } } static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) { switch (ct) { case DM_POLYTOPE_POINT: return 0; case DM_POLYTOPE_SEGMENT: case DM_POLYTOPE_POINT_PRISM_TENSOR: return 1; case DM_POLYTOPE_TRIANGLE: case DM_POLYTOPE_QUADRILATERAL: case DM_POLYTOPE_SEG_PRISM_TENSOR: case DM_POLYTOPE_UNKNOWN_FACE: return 2; case DM_POLYTOPE_TETRAHEDRON: case DM_POLYTOPE_HEXAHEDRON: case DM_POLYTOPE_TRI_PRISM: case DM_POLYTOPE_TRI_PRISM_TENSOR: case DM_POLYTOPE_QUAD_PRISM_TENSOR: case DM_POLYTOPE_PYRAMID: case DM_POLYTOPE_UNKNOWN_CELL: return 3; default: return -1; } } static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) { switch (ct) { case DM_POLYTOPE_POINT: return 0; case DM_POLYTOPE_SEGMENT: return 2; case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; case DM_POLYTOPE_TRIANGLE: return 3; case DM_POLYTOPE_QUADRILATERAL: return 4; case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; case DM_POLYTOPE_TETRAHEDRON: return 4; case DM_POLYTOPE_HEXAHEDRON: return 6; case DM_POLYTOPE_TRI_PRISM: return 5; case DM_POLYTOPE_TRI_PRISM_TENSOR: return 5; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 6; case DM_POLYTOPE_PYRAMID: return 5; default: return -1; } } static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) { switch (ct) { case DM_POLYTOPE_POINT: return 1; case DM_POLYTOPE_SEGMENT: return 2; case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; case DM_POLYTOPE_TRIANGLE: return 3; case DM_POLYTOPE_QUADRILATERAL: return 4; case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; case DM_POLYTOPE_TETRAHEDRON: return 4; case DM_POLYTOPE_HEXAHEDRON: return 8; case DM_POLYTOPE_TRI_PRISM: return 6; case DM_POLYTOPE_TRI_PRISM_TENSOR: return 6; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 8; case DM_POLYTOPE_PYRAMID: return 5; default: return -1; } } static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) { 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))); } static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) { switch (ct) { case DM_POLYTOPE_POINT: return 1; case DM_POLYTOPE_SEGMENT: return 2; case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; case DM_POLYTOPE_TRIANGLE: return 6; case DM_POLYTOPE_QUADRILATERAL: return 8; case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; case DM_POLYTOPE_TETRAHEDRON: return 24; case DM_POLYTOPE_HEXAHEDRON: return 48; case DM_POLYTOPE_TRI_PRISM: return 12; case DM_POLYTOPE_TRI_PRISM_TENSOR: return 12; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 16; case DM_POLYTOPE_PYRAMID: return 8; default: return -1; } } /* An arrangement is a face order combined with an orientation for each face */ static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) { static const PetscInt pntArr[1 * 2] = {0, 0}; /* a: swap */ static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 0, 0, 1, 0, /* 0: e */}; /* a: swap first two b: swap last two */ static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 2, -1, 1, -1, 0, -1, /* -2: aba */ 1, -1, 0, -1, 2, -1, /* -1: a */ 0, 0, 1, 0, 2, 0, /* 0: identity */ 1, 0, 2, 0, 0, 0, /* 1: ba */ 2, 0, 0, 0, 1, 0, /* 2: ab */}; /* a: forward cyclic permutation b: swap first and last pairs */ static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 3, 0, 0, 0, 1, 0, 2, 0, /* 3: a^3 */}; /* r: rotate 180 b: swap top and bottom segments */ static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 1, 0, 0, 0, 2, -1, 3, -1, /* 1: b */}; /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ static const PetscInt hexArr[48 * 6 * 2] = { 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ }; static const PetscInt tripArr[12 * 5 * 2] = { 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ }; /* a: rotate 120 about z b: swap top and bottom segments r: reflect */ static const PetscInt ttriArr[12 * 5 * 2] = { 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ }; /* a: rotate 90 about z b: swap top and bottom segments r: reflect */ static const PetscInt tquadArr[16 * 6 * 2] = { 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ }; static const PetscInt pyrArr[8 * 5 * 2] = { 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ }; switch (ct) { case DM_POLYTOPE_POINT: return pntArr; case DM_POLYTOPE_SEGMENT: return &segArr[(o + 1) * 2 * 2]; case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segArr[(o + 1) * 2 * 2]; case DM_POLYTOPE_TRIANGLE: return &triArr[(o + 3) * 3 * 2]; case DM_POLYTOPE_QUADRILATERAL: return &quadArr[(o + 4) * 4 * 2]; case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegArr[(o + 2) * 4 * 2]; case DM_POLYTOPE_TETRAHEDRON: return &tetArr[(o + 12) * 4 * 2]; case DM_POLYTOPE_HEXAHEDRON: return &hexArr[(o + 24) * 6 * 2]; case DM_POLYTOPE_TRI_PRISM: return &tripArr[(o + 6) * 5 * 2]; case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriArr[(o + 6) * 5 * 2]; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadArr[(o + 8) * 6 * 2]; case DM_POLYTOPE_PYRAMID: return &pyrArr[(o + 4) * 5 * 2]; default: return PETSC_NULLPTR; } } /* A vertex arrangement is a vertex order */ static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) { static const PetscInt pntVerts[1] = {0}; static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 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}; static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 3, 1, 2, 0, /* -11: (14) p21 */ 1, 2, 3, 0, /* -10: (1234) p18 */ 3, 2, 0, 1, /* -9: (1423) p17 */ 2, 0, 3, 1, /* -8: (1342) p13 */ 0, 3, 2, 1, /* -7: (24) p14 */ 0, 1, 3, 2, /* -6: (34) p6 */ 1, 3, 0, 2, /* -5: (1243) p10 */ 3, 0, 1, 2, /* -4: (1432 p9 */ 1, 0, 2, 3, /* -3: (12) p1 */ 0, 2, 1, 3, /* -2: (23) p2 */ 2, 1, 0, 3, /* -1: (13) p5 */ 0, 1, 2, 3, /* 0: () p0 */ 1, 2, 0, 3, /* 1: (123) p4 */ 2, 0, 1, 3, /* 2: (132) p3 */ 1, 0, 3, 2, /* 3: (12)(34) p7 */ 0, 3, 1, 2, /* 4: (243) p8 */ 3, 1, 0, 2, /* 5: (143) p11 */ 2, 3, 0, 1, /* 6: (13)(24) p16 */ 3, 0, 2, 1, /* 7: (142) p15 */ 0, 2, 3, 1, /* 8: (234) p12 */ 3, 2, 1, 0, /* 9: (14)(23) p23 */ 2, 1, 3, 0, /* 10: (134) p19 */ 1, 3, 2, 0 /* 11: (124) p20 */}; static const PetscInt hexVerts[48 * 8] = { 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ }; static const PetscInt tripVerts[12 * 6] = { 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 0, 1, 2, 3, 4, 5, /* 0: identity */ 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ }; static const PetscInt ttriVerts[12 * 6] = { 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 3, 5, 4, 0, 2, 1, /* -5: r b a */ 5, 4, 3, 2, 1, 0, /* -4: r b */ 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 0, 2, 1, 3, 5, 4, /* -2: r a */ 2, 1, 0, 5, 4, 3, /* -1: r */ 0, 1, 2, 3, 4, 5, /* 0: identity */ 1, 2, 0, 4, 5, 3, /* 1: a */ 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 3, 4, 5, 0, 1, 2, /* 3: b */ 4, 5, 3, 1, 2, 0, /* 4: b a */ 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ }; /* a: rotate 90 about z b: swap top and bottom segments r: reflect */ static const PetscInt tquadVerts[16 * 8] = { 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ }; static const PetscInt pyrVerts[8 * 5] = { 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 0, 1, 2, 3, 4, /* 0: identity */ 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ }; switch (ct) { case DM_POLYTOPE_POINT: return pntVerts; case DM_POLYTOPE_SEGMENT: return &segVerts[(o + 1) * 2]; case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segVerts[(o + 1) * 2]; case DM_POLYTOPE_TRIANGLE: return &triVerts[(o + 3) * 3]; case DM_POLYTOPE_QUADRILATERAL: return &quadVerts[(o + 4) * 4]; case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegVerts[(o + 2) * 4]; case DM_POLYTOPE_TETRAHEDRON: return &tetVerts[(o + 12) * 4]; case DM_POLYTOPE_HEXAHEDRON: return &hexVerts[(o + 24) * 8]; case DM_POLYTOPE_TRI_PRISM: return &tripVerts[(o + 6) * 6]; case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriVerts[(o + 6) * 6]; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadVerts[(o + 8) * 8]; case DM_POLYTOPE_PYRAMID: return &pyrVerts[(o + 4) * 5]; default: return PETSC_NULLPTR; } } /* This is orientation o1 acting on orientation o2 */ static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) { static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 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}; 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, -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}; static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; static const PetscInt tetMult[24 * 24] = { 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, 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, 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, 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, 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, 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, -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, -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, -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, -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, -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, -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, }; static const PetscInt hexMult[48 * 48] = { 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, -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, }; static const PetscInt tripMult[12 * 12] = { 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, 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, -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, }; static const PetscInt ttriMult[12 * 12] = { 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, 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, -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, }; static const PetscInt tquadMult[16 * 16] = { 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, 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, -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, 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, -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, }; static const PetscInt pyrMult[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, -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, }; switch (ct) { case DM_POLYTOPE_POINT: return 0; case DM_POLYTOPE_SEGMENT: case DM_POLYTOPE_POINT_PRISM_TENSOR: return segMult[(o1 + 1) * 2 + o2 + 1]; case DM_POLYTOPE_TRIANGLE: return triMult[(o1 + 3) * 6 + o2 + 3]; case DM_POLYTOPE_QUADRILATERAL: return quadMult[(o1 + 4) * 8 + o2 + 4]; case DM_POLYTOPE_SEG_PRISM_TENSOR: return tsegMult[(o1 + 2) * 4 + o2 + 2]; case DM_POLYTOPE_TETRAHEDRON: return tetMult[(o1 + 12) * 24 + o2 + 12]; case DM_POLYTOPE_HEXAHEDRON: return hexMult[(o1 + 24) * 48 + o2 + 24]; case DM_POLYTOPE_TRI_PRISM: return tripMult[(o1 + 6) * 12 + o2 + 6]; case DM_POLYTOPE_TRI_PRISM_TENSOR: return ttriMult[(o1 + 6) * 12 + o2 + 6]; case DM_POLYTOPE_QUAD_PRISM_TENSOR: return tquadMult[(o1 + 8) * 16 + o2 + 8]; case DM_POLYTOPE_PYRAMID: return pyrMult[(o1 + 4) * 8 + o2 + 4]; default: return 0; } } /* This is orientation o1 acting on orientation o2^{-1} */ static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) { static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 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}; 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}; static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; switch (ct) { case DM_POLYTOPE_POINT: return 0; case DM_POLYTOPE_SEGMENT: case DM_POLYTOPE_POINT_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); case DM_POLYTOPE_TRIANGLE: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); case DM_POLYTOPE_QUADRILATERAL: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); case DM_POLYTOPE_SEG_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); case DM_POLYTOPE_TETRAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); case DM_POLYTOPE_HEXAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); case DM_POLYTOPE_TRI_PRISM: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); case DM_POLYTOPE_TRI_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); case DM_POLYTOPE_QUAD_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); case DM_POLYTOPE_PYRAMID: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); default: return 0; } } PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);