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