1 /* 2 Objects to manage the interactions between the mesh data structures and the algebraic objects 3 */ 4 #if !defined(PETSCDM_H) 5 #define PETSCDM_H 6 #include <petscmat.h> 7 #include <petscdmtypes.h> 8 #include <petscfetypes.h> 9 #include <petscdstypes.h> 10 #include <petscdmlabel.h> 11 12 PETSC_EXTERN PetscErrorCode DMInitializePackage(void); 13 14 PETSC_EXTERN PetscClassId DM_CLASSID; 15 PETSC_EXTERN PetscClassId DMLABEL_CLASSID; 16 17 #define DMLOCATEPOINT_POINT_NOT_FOUND -367 18 19 /*J 20 DMType - String with the name of a PETSc DM 21 22 Level: beginner 23 24 .seealso: DMSetType(), DM 25 J*/ 26 typedef const char* DMType; 27 #define DMDA "da" 28 #define DMCOMPOSITE "composite" 29 #define DMSLICED "sliced" 30 #define DMSHELL "shell" 31 #define DMPLEX "plex" 32 #define DMREDUNDANT "redundant" 33 #define DMPATCH "patch" 34 #define DMMOAB "moab" 35 #define DMNETWORK "network" 36 #define DMFOREST "forest" 37 #define DMP4EST "p4est" 38 #define DMP8EST "p8est" 39 #define DMSWARM "swarm" 40 #define DMPRODUCT "product" 41 #define DMSTAG "stag" 42 43 PETSC_EXTERN const char *const DMBoundaryTypes[]; 44 PETSC_EXTERN const char *const DMBoundaryConditionTypes[]; 45 PETSC_EXTERN PetscFunctionList DMList; 46 PETSC_EXTERN DMGeneratorFunctionList DMGenerateList; 47 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm,DM*); 48 PETSC_EXTERN PetscErrorCode DMClone(DM,DM*); 49 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 50 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 51 PETSC_EXTERN PetscErrorCode DMRegister(const char[],PetscErrorCode (*)(DM)); 52 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 53 54 PETSC_EXTERN PetscErrorCode DMView(DM,PetscViewer); 55 PETSC_EXTERN PetscErrorCode DMLoad(DM,PetscViewer); 56 PETSC_EXTERN PetscErrorCode DMDestroy(DM*); 57 PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM,Vec*); 58 PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM,Vec*); 59 PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM,Vec *); 60 PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM,Vec *); 61 PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM,Vec *); 62 PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM,Vec *); 63 PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); 64 PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); 65 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM,const char*,PetscBool*); 66 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM,const char*,Vec*); 67 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM,const char*,Vec*); 68 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM,const char*,PetscBool*); 69 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM,const char*,Vec*); 70 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM,const char*,Vec*); 71 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM,ISLocalToGlobalMapping*); 72 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM,PetscInt*,char***,IS**); 73 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM,PetscInt*); 74 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM,ISColoringType,ISColoring*); 75 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM,Mat*); 76 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM,PetscBool); 77 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM,PetscBool); 78 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM,DM,Mat*,Vec*); 79 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM,DM,Mat*); 80 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM,DM,Mat*); 81 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM,DM,Mat*); 82 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM,Vec*); 83 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM,PetscInt,MPI_Datatype,void*); 84 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM,PetscInt,MPI_Datatype,void*); 85 PETSC_EXTERN PetscErrorCode DMRefine(DM,MPI_Comm,DM*); 86 PETSC_EXTERN PetscErrorCode DMCoarsen(DM,MPI_Comm,DM*); 87 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM,DM*); 88 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM,DM); 89 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM,DM*); 90 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM,DM); 91 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM,PetscInt,DM[]); 92 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM,PetscInt,DM[]); 93 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*); 94 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*); 95 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*); 96 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*); 97 PETSC_EXTERN PetscErrorCode DMRestrict(DM,Mat,Vec,Mat,DM); 98 PETSC_EXTERN PetscErrorCode DMInterpolate(DM,Mat,DM); 99 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM,DM,Mat,Vec,Vec); 100 PETSC_EXTERN PetscErrorCode DMExtrude(DM,PetscInt,DM*); 101 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 102 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM,PetscObject,const char[]); 103 104 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char [], PetscBool , DM *); 105 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[],PetscErrorCode (*)(DM,PetscBool,DM*),PetscErrorCode (*)(DM,PetscReal*,DM*),PetscErrorCode (*)(DM,Vec,DMLabel,DMLabel,DM*),PetscInt); 106 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 107 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 108 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM,DMLabel,DM*); 109 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 110 111 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 112 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM,DM,Mat,Vec*); 113 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM,DM,Mat*); 114 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 115 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 116 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM,Vec,InsertMode,Vec); 117 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM,Vec,InsertMode,Vec); 118 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM,Vec,InsertMode,Vec); 119 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM,Vec,InsertMode,Vec); 120 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM,Vec,InsertMode,Vec); 121 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM,Vec,InsertMode,Vec); 122 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM,Vec,InsertMode,Vec); 123 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM,Vec,InsertMode,Vec); 124 PETSC_EXTERN PetscErrorCode DMConvert(DM,DMType,DM*); 125 126 /* Topology support */ 127 PETSC_EXTERN PetscErrorCode DMGetDimension(DM,PetscInt*); 128 PETSC_EXTERN PetscErrorCode DMSetDimension(DM,PetscInt); 129 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM,PetscInt,PetscInt*,PetscInt*); 130 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM,PetscBool*); 131 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM,PetscBool); 132 133 /* Coordinate support */ 134 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM,DM*); 135 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM,DM); 136 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM,PetscInt*); 137 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM,PetscInt); 138 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM,PetscSection*); 139 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM,PetscInt,PetscSection); 140 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM,Vec*); 141 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM,Vec); 142 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM,Vec*); 143 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 144 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM,Vec*); 145 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM,IS,PetscSection*,Vec*); 146 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM,Vec); 147 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM,Vec,DMPointLocationType,PetscSF*); 148 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM,PetscBool*,const PetscReal**,const PetscReal**,const DMBoundaryType**); 149 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM,PetscBool,const PetscReal[],const PetscReal[],const DMBoundaryType[]); 150 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 151 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 152 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM,PetscBool*); 153 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM,PetscBool*); 154 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM,PetscInt*,const PetscMPIInt**); 155 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM,DMField*); 156 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM,DMField); 157 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM,PetscReal[],PetscReal[]); 158 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM,PetscReal[],PetscReal[]); 159 PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM,PetscFE); 160 161 /* block hook interface */ 162 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 163 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 164 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM,VecScatter,VecScatter,DM); 165 166 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM,const char []); 167 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM,const char []); 168 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM,const char*[]); 169 PETSC_EXTERN PetscErrorCode DMSetVecType(DM,VecType); 170 PETSC_EXTERN PetscErrorCode DMGetVecType(DM,VecType*); 171 PETSC_EXTERN PetscErrorCode DMSetMatType(DM,MatType); 172 PETSC_EXTERN PetscErrorCode DMGetMatType(DM,MatType*); 173 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM,ISColoringType); 174 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM,ISColoringType*); 175 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM,void*); 176 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM,PetscErrorCode (*)(void**)); 177 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM,void*); 178 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM,PetscErrorCode (*)(DM,Vec,Vec)); 179 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM,PetscBool *); 180 PETSC_EXTERN PetscErrorCode DMHasColoring(DM,PetscBool *); 181 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM,PetscBool *); 182 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM,PetscBool *); 183 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM,Vec,Vec); 184 185 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 186 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 187 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM,PetscInt,const PetscInt[],IS*,DM*); 188 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[],PetscInt,IS**,DM*); 189 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM,PetscInt*,char***,IS**,DM**); 190 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM,PetscInt*,char***,IS**,IS**,DM**); 191 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM,PetscInt,DM*,VecScatter**,VecScatter**,VecScatter**); 192 193 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM,PetscInt*); 194 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM,PetscInt); 195 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM,PetscInt*); 196 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM,PetscInt); 197 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 198 199 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM*); 200 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 201 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM*); 202 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 203 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat,MatFDColoring); 204 205 typedef struct NLF_DAAD* NLF; 206 207 #define DM_FILE_CLASSID 1211221 208 209 /* FEM support */ 210 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char [], PetscInt, const PetscScalar []); 211 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char [], PetscInt, PetscInt, const PetscScalar []); 212 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char [], PetscReal, Vec); 213 214 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 215 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 216 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 217 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 218 219 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 220 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 221 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 222 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 223 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 224 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 225 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) {return DMGetSection(dm,s);} 226 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) {return DMSetSection(dm,s);} 227 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) {return DMGetGlobalSection(dm,s);} 228 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) {return DMSetGlobalSection(dm,s);} 229 230 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF*); 231 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 232 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 233 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) {return DMGetSectionSF(dm,s);} 234 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) {return DMSetSectionSF(dm,s);} 235 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) {return DMCreateSectionSF(dm,l,g);} 236 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 237 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 238 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 239 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 240 241 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *); 242 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat); 243 244 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 245 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 246 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 247 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 248 249 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 250 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 251 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 252 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 253 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 254 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 255 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 256 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 257 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 258 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 259 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 260 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 261 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 262 263 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 264 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 265 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *); 266 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *); 267 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS); 268 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *); 269 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS); 270 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 271 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 272 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 273 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 274 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 275 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 276 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 277 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, Vec *); 278 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, Vec); 279 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[]); 280 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 281 282 /*MC 283 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 284 285 Level: intermediate 286 287 Synopsis: 288 comm - The communicator 289 dim - The spatial dimension of points 290 nInput - The number of input points 291 points - The input point coordinates 292 cells - The cell containing each point 293 n - The number of local points 294 coords - The point coordinates 295 dof - The number of components to interpolate 296 297 .seealso: DMInterpolationCreate(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 298 M*/ 299 struct _DMInterpolationInfo { 300 MPI_Comm comm; 301 PetscInt dim; /*1 The spatial dimension of points */ 302 PetscInt nInput; /* The number of input points */ 303 PetscReal *points; /* The input point coordinates */ 304 PetscInt *cells; /* The cell containing each point */ 305 PetscInt n; /* The number of local points */ 306 Vec coords; /* The point coordinates */ 307 PetscInt dof; /* The number of components to interpolate */ 308 }; 309 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 310 311 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 312 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 313 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 314 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 315 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 316 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 317 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 318 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 319 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 320 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 321 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 322 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 323 324 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char []); 325 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 326 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 327 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 328 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 329 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 330 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char [], PetscInt, PetscInt *); 331 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char [], PetscInt, IS *); 332 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char [], PetscInt, IS); 333 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 334 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 335 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 336 337 /*E 338 DMCopyLabelsMode - Determines how DMCopyLabels() behaves when there is a DMLabel in the source and destination DMs with the same name 339 340 Level: advanced 341 342 $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source 343 $ DM_COPY_LABELS_KEEP - keep destination label 344 $ DM_COPY_LABELS_FAIL - throw error 345 346 E*/ 347 typedef enum {DM_COPY_LABELS_REPLACE, DM_COPY_LABELS_KEEP, DM_COPY_LABELS_FAIL} DMCopyLabelsMode; 348 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 349 350 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 351 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 352 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char [], PetscBool *); 353 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 354 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 355 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 356 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 357 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char [], DMLabel *); 358 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 359 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 360 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 361 362 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 363 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 364 365 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 366 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 367 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 368 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec); 369 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); 370 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); 371 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); 372 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 373 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal [], PetscReal *); 374 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 375 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 376 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM,PetscBool*); 377 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 378 379 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM,DM,PetscBool*,PetscBool*); 380 381 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void**)); 382 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 383 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 384 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 385 386 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 387 { 388 switch (ct) { 389 case DM_POLYTOPE_POINT: 390 return 0; 391 case DM_POLYTOPE_SEGMENT: 392 case DM_POLYTOPE_POINT_PRISM_TENSOR: 393 return 1; 394 case DM_POLYTOPE_TRIANGLE: 395 case DM_POLYTOPE_QUADRILATERAL: 396 case DM_POLYTOPE_SEG_PRISM_TENSOR: 397 return 2; 398 case DM_POLYTOPE_TETRAHEDRON: 399 case DM_POLYTOPE_HEXAHEDRON: 400 case DM_POLYTOPE_TRI_PRISM: 401 case DM_POLYTOPE_TRI_PRISM_TENSOR: 402 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 403 case DM_POLYTOPE_PYRAMID: 404 return 3; 405 default: return -1; 406 } 407 } 408 409 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 410 { 411 switch (ct) { 412 case DM_POLYTOPE_POINT: return 0; 413 case DM_POLYTOPE_SEGMENT: return 2; 414 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 415 case DM_POLYTOPE_TRIANGLE: return 3; 416 case DM_POLYTOPE_QUADRILATERAL: return 4; 417 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 418 case DM_POLYTOPE_TETRAHEDRON: return 4; 419 case DM_POLYTOPE_HEXAHEDRON: return 6; 420 case DM_POLYTOPE_TRI_PRISM: return 5; 421 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 5; 422 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 6; 423 case DM_POLYTOPE_PYRAMID: return 5; 424 default: return -1; 425 } 426 } 427 428 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 429 { 430 switch (ct) { 431 case DM_POLYTOPE_POINT: return 1; 432 case DM_POLYTOPE_SEGMENT: return 2; 433 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 434 case DM_POLYTOPE_TRIANGLE: return 3; 435 case DM_POLYTOPE_QUADRILATERAL: return 4; 436 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 437 case DM_POLYTOPE_TETRAHEDRON: return 4; 438 case DM_POLYTOPE_HEXAHEDRON: return 8; 439 case DM_POLYTOPE_TRI_PRISM: return 6; 440 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 6; 441 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 8; 442 case DM_POLYTOPE_PYRAMID: return 5; 443 default: return -1; 444 } 445 } 446 447 PETSC_STATIC_INLINE DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 448 { 449 return dim == 0 ? DM_POLYTOPE_POINT : 450 (dim == 1 ? DM_POLYTOPE_SEGMENT : 451 (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) : 452 (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN))); 453 } 454 455 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 456 { 457 switch (ct) { 458 case DM_POLYTOPE_POINT: return 1; 459 case DM_POLYTOPE_SEGMENT: return 2; 460 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 461 case DM_POLYTOPE_TRIANGLE: return 6; 462 case DM_POLYTOPE_QUADRILATERAL: return 8; 463 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 464 case DM_POLYTOPE_TETRAHEDRON: return 24; 465 case DM_POLYTOPE_HEXAHEDRON: return 48; 466 case DM_POLYTOPE_TRI_PRISM: return 12; 467 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 12; 468 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 16; 469 case DM_POLYTOPE_PYRAMID: return 8; 470 default: return -1; 471 } 472 } 473 474 /* An arrangement is a face order combined with an orientation for each face */ 475 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 476 { 477 static const PetscInt pntArr[1*2] = {0, 0}; 478 /* a: swap */ 479 static const PetscInt segArr[2*2*2] = { 480 1, 0, 0, 0, /* -1: a */ 481 0, 0, 1, 0, /* 0: e */}; 482 /* a: swap first two 483 b: swap last two */ 484 static const PetscInt triArr[6*3*2] = { 485 0, -1, 2, -1, 1, -1, /* -3: b */ 486 2, -1, 1, -1, 0, -1, /* -2: aba */ 487 1, -1, 0, -1, 2, -1, /* -1: a */ 488 0, 0, 1, 0, 2, 0, /* 0: identity */ 489 1, 0, 2, 0, 0, 0, /* 1: ba */ 490 2, 0, 0, 0, 1, 0, /* 2: ab */}; 491 /* a: forward cyclic permutation 492 b: swap first and last pairs */ 493 static const PetscInt quadArr[8*4*2] = { 494 1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 495 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 496 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 497 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 498 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 499 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 500 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 501 3, 0, 0, 0, 1, 0, 2, 0, /* 3: a^3 */}; 502 /* r: rotate 180 503 b: swap top and bottom segments */ 504 static const PetscInt tsegArr[4*4*2] = { 505 1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 506 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 507 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 508 1, 0, 0, 0, 2, -1, 3, -1, /* 1: b */}; 509 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 510 static const PetscInt tetArr[24*4*2] = { 511 3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 512 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 513 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 514 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 515 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 516 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 517 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 518 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 519 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 520 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 521 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 522 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 523 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 524 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 525 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 526 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 527 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 528 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 529 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 530 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 531 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 532 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 533 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 534 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 535 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 536 static const PetscInt hexArr[48*6*2] = { 537 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 538 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 539 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 540 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 541 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 542 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 543 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 544 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 545 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 546 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 547 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 548 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 549 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 550 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 551 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 552 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 553 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 554 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 555 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 556 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 557 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 558 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 559 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 560 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 561 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 562 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 563 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 564 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 565 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 566 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 567 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 568 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 569 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 570 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 571 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 572 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 573 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 574 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 575 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 576 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 577 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 578 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 579 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 580 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 581 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 582 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 583 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 584 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 585 }; 586 static const PetscInt tripArr[12*5*2] = { 587 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 588 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 589 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 590 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 591 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 592 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 593 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 594 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 595 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 596 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 597 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 598 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 599 }; 600 /* a: rotate 120 about z 601 b: swap top and bottom segments 602 r: reflect */ 603 static const PetscInt ttriArr[12*5*2] = { 604 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 605 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 606 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 607 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 608 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 609 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 610 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 611 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 612 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 613 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 614 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 615 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 616 }; 617 /* a: rotate 90 about z 618 b: swap top and bottom segments 619 r: reflect */ 620 static const PetscInt tquadArr[16*6*2] = { 621 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 622 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 623 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 624 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 625 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 626 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 627 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 628 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 629 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 630 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 631 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 632 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 633 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 634 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 635 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 636 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 637 }; 638 static const PetscInt pyrArr[8*5*2] = { 639 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 640 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 641 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 642 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 643 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 644 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 645 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 646 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 647 }; 648 switch (ct) { 649 case DM_POLYTOPE_POINT: return pntArr; 650 case DM_POLYTOPE_SEGMENT: return &segArr[(o+1)*2*2]; 651 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segArr[(o+1)*2*2]; 652 case DM_POLYTOPE_TRIANGLE: return &triArr[(o+3)*3*2]; 653 case DM_POLYTOPE_QUADRILATERAL: return &quadArr[(o+4)*4*2]; 654 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegArr[(o+2)*4*2]; 655 case DM_POLYTOPE_TETRAHEDRON: return &tetArr[(o+12)*4*2]; 656 case DM_POLYTOPE_HEXAHEDRON: return &hexArr[(o+24)*6*2]; 657 case DM_POLYTOPE_TRI_PRISM: return &tripArr[(o+6)*5*2]; 658 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriArr[(o+6)*5*2]; 659 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadArr[(o+8)*6*2]; 660 case DM_POLYTOPE_PYRAMID: return &pyrArr[(o+4)*5*2]; 661 default: return NULL; 662 } 663 } 664 665 /* A vertex arrangment is a vertex order */ 666 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 667 { 668 static const PetscInt pntVerts[1] = {0}; 669 static const PetscInt segVerts[2*2] = { 670 1, 0, 671 0, 1}; 672 static const PetscInt triVerts[6*3] = { 673 1, 0, 2, 674 0, 2, 1, 675 2, 1, 0, 676 0, 1, 2, 677 1, 2, 0, 678 2, 0, 1}; 679 static const PetscInt quadVerts[8*4] = { 680 2, 1, 0, 3, 681 1, 0, 3, 2, 682 0, 3, 2, 1, 683 3, 2, 1, 0, 684 0, 1, 2, 3, 685 1, 2, 3, 0, 686 2, 3, 0, 1, 687 3, 0, 1, 2}; 688 static const PetscInt tsegVerts[4*4] = { 689 3, 2, 1, 0, 690 1, 0, 3, 2, 691 0, 1, 2, 3, 692 2, 3, 0, 1}; 693 static const PetscInt tetVerts[24*4] = { 694 2, 3, 1, 0, /* -12: (1324) p22 */ 695 3, 1, 2, 0, /* -11: (14) p21 */ 696 1, 2, 3, 0, /* -10: (1234) p18 */ 697 3, 2, 0, 1, /* -9: (1423) p17 */ 698 2, 0, 3, 1, /* -8: (1342) p13 */ 699 0, 3, 2, 1, /* -7: (24) p14 */ 700 0, 1, 3, 2, /* -6: (34) p6 */ 701 1, 3, 0, 2, /* -5: (1243) p10 */ 702 3, 0, 1, 2, /* -4: (1432 p9 */ 703 1, 0, 2, 3, /* -3: (12) p1 */ 704 0, 2, 1, 3, /* -2: (23) p2 */ 705 2, 1, 0, 3, /* -1: (13) p5 */ 706 0, 1, 2, 3, /* 0: () p0 */ 707 1, 2, 0, 3, /* 1: (123) p4 */ 708 2, 0, 1, 3, /* 2: (132) p3 */ 709 1, 0, 3, 2, /* 3: (12)(34) p7 */ 710 0, 3, 1, 2, /* 4: (243) p8 */ 711 3, 1, 0, 2, /* 5: (143) p11 */ 712 2, 3, 0, 1, /* 6: (13)(24) p16 */ 713 3, 0, 2, 1, /* 7: (142) p15 */ 714 0, 2, 3, 1, /* 8: (234) p12 */ 715 3, 2, 1, 0, /* 9: (14)(23) p23 */ 716 2, 1, 3, 0, /* 10: (134) p19 */ 717 1, 3, 2, 0 /* 11: (124) p20 */}; 718 static const PetscInt hexVerts[48*8] = { 719 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 720 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 721 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 722 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 723 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 724 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 725 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 726 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 727 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 728 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 729 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 730 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 731 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 732 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 733 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 734 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 735 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 736 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 737 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 738 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 739 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 740 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 741 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 742 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 743 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 744 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 745 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 746 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 747 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 748 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 749 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 750 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 751 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 752 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 753 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 754 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 755 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 756 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 757 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 758 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 759 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 760 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 761 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 762 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 763 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 764 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 765 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 766 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 767 }; 768 static const PetscInt tripVerts[12*6] = { 769 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 770 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 771 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 772 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 773 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 774 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 775 0, 1, 2, 3, 4, 5, /* 0: identity */ 776 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 777 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 778 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 779 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 780 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 781 }; 782 static const PetscInt ttriVerts[12*6] = { 783 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 784 3, 5, 4, 0, 2, 1, /* -5: r b a */ 785 5, 4, 3, 2, 1, 0, /* -4: r b */ 786 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 787 0, 2, 1, 3, 5, 4, /* -2: r a */ 788 2, 1, 0, 5, 4, 3, /* -1: r */ 789 0, 1, 2, 3, 4, 5, /* 0: identity */ 790 1, 2, 0, 4, 5, 3, /* 1: a */ 791 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 792 3, 4, 5, 0, 1, 2, /* 3: b */ 793 4, 5, 3, 1, 2, 0, /* 4: b a */ 794 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 795 }; 796 /* a: rotate 90 about z 797 b: swap top and bottom segments 798 r: reflect */ 799 static const PetscInt tquadVerts[16*8] = { 800 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 801 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 802 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 803 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 804 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 805 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 806 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 807 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 808 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 809 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 810 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 811 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 812 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 813 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 814 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 815 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 816 }; 817 static const PetscInt pyrVerts[8*5] = { 818 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 819 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 820 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 821 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 822 0, 1, 2, 3, 4, /* 0: identity */ 823 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 824 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 825 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 826 }; 827 switch (ct) { 828 case DM_POLYTOPE_POINT: return pntVerts; 829 case DM_POLYTOPE_SEGMENT: return &segVerts[(o+1)*2]; 830 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segVerts[(o+1)*2]; 831 case DM_POLYTOPE_TRIANGLE: return &triVerts[(o+3)*3]; 832 case DM_POLYTOPE_QUADRILATERAL: return &quadVerts[(o+4)*4]; 833 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegVerts[(o+2)*4]; 834 case DM_POLYTOPE_TETRAHEDRON: return &tetVerts[(o+12)*4]; 835 case DM_POLYTOPE_HEXAHEDRON: return &hexVerts[(o+24)*8]; 836 case DM_POLYTOPE_TRI_PRISM: return &tripVerts[(o+6)*6]; 837 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriVerts[(o+6)*6]; 838 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadVerts[(o+8)*8]; 839 case DM_POLYTOPE_PYRAMID: return &pyrVerts[(o+4)*5]; 840 default: return NULL; 841 } 842 } 843 844 /* This is orientation o1 acting on orientation o2 */ 845 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 846 { 847 static const PetscInt segMult[2*2] = { 848 0, -1, 849 -1, 0}; 850 static const PetscInt triMult[6*6] = { 851 0, 2, 1, -3, -1, -2, 852 1, 0, 2, -2, -3, -1, 853 2, 1, 0, -1, -2, -3, 854 -3, -2, -1, 0, 1, 2, 855 -2, -1, -3, 1, 2, 0, 856 -1, -3, -2, 2, 0, 1}; 857 static const PetscInt quadMult[8*8] = { 858 0, 3, 2, 1, -4, -1, -2, -3, 859 1, 0, 3, 2, -3, -4, -1, -2, 860 2, 1, 0, 3, -2, -3, -4, -1, 861 3, 2, 1, 0, -1, -2, -3, -4, 862 -4, -3, -2, -1, 0, 1, 2, 3, 863 -3, -2, -1, -4, 1, 2, 3, 0, 864 -2, -1, -4, -3, 2, 3, 0, 1, 865 -1, -4, -3, -2, 3, 0, 1, 2}; 866 static const PetscInt tsegMult[4*4] = { 867 0, 1, -2, -1, 868 1, 0, -1, -2, 869 -2, -1, 0, 1, 870 -1, -2, 1, 0}; 871 static const PetscInt tetMult[24*24] = { 872 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8, 873 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7, 874 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9, 875 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2, 876 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1, 877 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3, 878 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5, 879 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4, 880 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6, 881 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11, 882 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10, 883 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, 884 -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 885 -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 886 -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 887 -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5, 888 -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3, 889 -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4, 890 -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2, 891 -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0, 892 -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1, 893 -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8, 894 -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6, 895 -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7, 896 }; 897 static const PetscInt hexMult[48*48] = { 898 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, 899 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, 900 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, 901 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, 902 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, 903 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, 904 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, 905 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, 906 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, 907 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, 908 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, 909 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, 910 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, 911 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, 912 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, 913 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, 914 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, 915 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, 916 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, 917 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, 918 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, 919 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, 920 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, 921 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, 922 -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, 923 -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, 924 -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, 925 -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, 926 -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, 927 -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, 928 -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, 929 -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, 930 -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, 931 -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, 932 -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, 933 -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, 934 -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, 935 -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, 936 -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, 937 -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, 938 -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, 939 -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, 940 -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, 941 -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, 942 -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, 943 -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, 944 -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, 945 -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, 946 }; 947 static const PetscInt tripMult[12*12] = { 948 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1, 949 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2, 950 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 951 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4, 952 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5, 953 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 954 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 955 -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4, 956 -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3, 957 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 958 -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1, 959 -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0, 960 }; 961 static const PetscInt ttriMult[12*12] = { 962 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2, 963 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1, 964 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 965 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, 966 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, 967 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 968 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 969 -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 970 -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 971 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 972 -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0, 973 -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1, 974 }; 975 static const PetscInt tquadMult[16*16] = { 976 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3, 977 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2, 978 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1, 979 3, 2, 1, 0, 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4, 980 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7, 981 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6, 982 6, 5, 4, 7, 2, 1, 0, 3, -2, -3, -4, -1, -6, -7, -8, -5, 983 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, 984 -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 985 -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0, 5, 6, 7, 4, 986 -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5, 987 -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6, 988 -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3, 989 -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0, 990 -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1, 991 -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2, 992 }; 993 static const PetscInt pyrMult[8*8] = { 994 0, 3, 2, 1, -4, -1, -2, -3, 995 1, 0, 3, 2, -3, -4, -1, -2, 996 2, 1, 0, 3, -2, -3, -4, -1, 997 3, 2, 1, 0, -1, -2, -3, -4, 998 -4, -3, -2, -1, 0, 1, 2, 3, 999 -3, -2, -1, -4, 1, 2, 3, 0, 1000 -2, -1, -4, -3, 2, 3, 0, 1, 1001 -1, -4, -3, -2, 3, 0, 1, 2, 1002 }; 1003 switch (ct) { 1004 case DM_POLYTOPE_POINT: return 0; 1005 case DM_POLYTOPE_SEGMENT: 1006 case DM_POLYTOPE_POINT_PRISM_TENSOR: return segMult[(o1+1)*2+o2+1]; 1007 case DM_POLYTOPE_TRIANGLE: return triMult[(o1+3)*6+o2+3]; 1008 case DM_POLYTOPE_QUADRILATERAL: return quadMult[(o1+4)*8+o2+4]; 1009 case DM_POLYTOPE_SEG_PRISM_TENSOR: return tsegMult[(o1+2)*4+o2+2]; 1010 case DM_POLYTOPE_TETRAHEDRON: return tetMult[(o1+12)*24+o2+12]; 1011 case DM_POLYTOPE_HEXAHEDRON: return hexMult[(o1+24)*48+o2+24]; 1012 case DM_POLYTOPE_TRI_PRISM: return tripMult[(o1+6)*12+o2+6]; 1013 case DM_POLYTOPE_TRI_PRISM_TENSOR: return ttriMult[(o1+6)*12+o2+6]; 1014 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return tquadMult[(o1+8)*16+o2+8]; 1015 case DM_POLYTOPE_PYRAMID: return pyrMult[(o1+4)*8+o2+4]; 1016 default: return 0; 1017 } 1018 } 1019 1020 /* This is orientation o1 acting on orientation o2^{-1} */ 1021 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1022 { 1023 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1024 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1025 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}; 1026 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, 1027 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22}; 1028 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1029 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1030 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1031 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1032 switch (ct) { 1033 case DM_POLYTOPE_POINT: return 0; 1034 case DM_POLYTOPE_SEGMENT: 1035 case DM_POLYTOPE_POINT_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1036 case DM_POLYTOPE_TRIANGLE: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2+3]); 1037 case DM_POLYTOPE_QUADRILATERAL: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2+4]); 1038 case DM_POLYTOPE_SEG_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1039 case DM_POLYTOPE_TETRAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2+12]); 1040 case DM_POLYTOPE_HEXAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2+24]); 1041 case DM_POLYTOPE_TRI_PRISM: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2+6]); 1042 case DM_POLYTOPE_TRI_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2+6]); 1043 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2+8]); 1044 case DM_POLYTOPE_PYRAMID: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2+4]); 1045 default: return 0; 1046 } 1047 } 1048 1049 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1050 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1051 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1052 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1053 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1054 1055 #endif 1056