1 /* 2 Objects to manage the interactions between the mesh data structures and the algebraic objects 3 */ 4 #ifndef 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 { 242 return DMGetSection(dm, s); 243 } 244 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 245 { 246 return DMSetSection(dm, s); 247 } 248 static inline PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 249 { 250 return DMGetGlobalSection(dm, s); 251 } 252 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 253 { 254 return DMSetGlobalSection(dm, s); 255 } 256 257 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 258 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 259 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 260 static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 261 { 262 return DMGetSectionSF(dm, s); 263 } 264 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 265 { 266 return DMSetSectionSF(dm, s); 267 } 268 static inline PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 269 { 270 return DMCreateSectionSF(dm, l, g); 271 } 272 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 273 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 274 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 275 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 276 277 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 278 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 279 280 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 281 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 282 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 283 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 284 285 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 286 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 287 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 288 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 289 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 290 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 291 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 292 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 293 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 294 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 295 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 296 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 297 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 298 299 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 300 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 301 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *); 302 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *); 303 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS); 304 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *); 305 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS); 306 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 307 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 308 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 309 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 310 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 311 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 312 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 313 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 314 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 315 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 316 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 317 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 318 319 /*MC 320 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 321 322 Level: intermediate 323 324 Synopsis: 325 comm - The communicator 326 dim - The spatial dimension of points 327 nInput - The number of input points 328 points - The input point coordinates 329 cells - The cell containing each point 330 n - The number of local points 331 coords - The point coordinates 332 dof - The number of components to interpolate 333 334 .seealso: `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 335 M*/ 336 struct _DMInterpolationInfo { 337 MPI_Comm comm; 338 PetscInt dim; /*1 The spatial dimension of points */ 339 PetscInt nInput; /* The number of input points */ 340 PetscReal *points; /* The input point coordinates */ 341 PetscInt *cells; /* The cell containing each point */ 342 PetscInt n; /* The number of local points */ 343 Vec coords; /* The point coordinates */ 344 PetscInt dof; /* The number of components to interpolate */ 345 }; 346 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 347 348 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 349 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 350 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 351 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 352 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 353 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 354 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 355 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 356 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 357 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 358 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 359 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 360 361 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 362 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 363 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 364 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 365 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 366 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 367 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 368 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 369 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 370 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 371 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 372 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 373 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 374 375 /*E 376 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination DMs with the same name 377 378 Level: advanced 379 380 $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source 381 $ DM_COPY_LABELS_KEEP - keep destination label 382 $ DM_COPY_LABELS_FAIL - throw error 383 384 E*/ 385 typedef enum { 386 DM_COPY_LABELS_REPLACE, 387 DM_COPY_LABELS_KEEP, 388 DM_COPY_LABELS_FAIL 389 } DMCopyLabelsMode; 390 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 391 392 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 393 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 394 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 395 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 396 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 397 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 398 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 399 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 400 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 401 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 402 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 403 404 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 405 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 406 407 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 408 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 409 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 410 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 411 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); 412 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); 413 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); 414 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); 415 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 416 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 417 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 418 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 419 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 420 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 421 422 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 423 424 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 425 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 426 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 427 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 428 429 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 430 { 431 switch (ct) { 432 case DM_POLYTOPE_POINT: 433 return 0; 434 case DM_POLYTOPE_SEGMENT: 435 case DM_POLYTOPE_POINT_PRISM_TENSOR: 436 return 1; 437 case DM_POLYTOPE_TRIANGLE: 438 case DM_POLYTOPE_QUADRILATERAL: 439 case DM_POLYTOPE_SEG_PRISM_TENSOR: 440 return 2; 441 case DM_POLYTOPE_TETRAHEDRON: 442 case DM_POLYTOPE_HEXAHEDRON: 443 case DM_POLYTOPE_TRI_PRISM: 444 case DM_POLYTOPE_TRI_PRISM_TENSOR: 445 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 446 case DM_POLYTOPE_PYRAMID: 447 return 3; 448 default: 449 return -1; 450 } 451 } 452 453 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 454 { 455 switch (ct) { 456 case DM_POLYTOPE_POINT: 457 return 0; 458 case DM_POLYTOPE_SEGMENT: 459 return 2; 460 case DM_POLYTOPE_POINT_PRISM_TENSOR: 461 return 2; 462 case DM_POLYTOPE_TRIANGLE: 463 return 3; 464 case DM_POLYTOPE_QUADRILATERAL: 465 return 4; 466 case DM_POLYTOPE_SEG_PRISM_TENSOR: 467 return 4; 468 case DM_POLYTOPE_TETRAHEDRON: 469 return 4; 470 case DM_POLYTOPE_HEXAHEDRON: 471 return 6; 472 case DM_POLYTOPE_TRI_PRISM: 473 return 5; 474 case DM_POLYTOPE_TRI_PRISM_TENSOR: 475 return 5; 476 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 477 return 6; 478 case DM_POLYTOPE_PYRAMID: 479 return 5; 480 default: 481 return -1; 482 } 483 } 484 485 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 486 { 487 switch (ct) { 488 case DM_POLYTOPE_POINT: 489 return 1; 490 case DM_POLYTOPE_SEGMENT: 491 return 2; 492 case DM_POLYTOPE_POINT_PRISM_TENSOR: 493 return 2; 494 case DM_POLYTOPE_TRIANGLE: 495 return 3; 496 case DM_POLYTOPE_QUADRILATERAL: 497 return 4; 498 case DM_POLYTOPE_SEG_PRISM_TENSOR: 499 return 4; 500 case DM_POLYTOPE_TETRAHEDRON: 501 return 4; 502 case DM_POLYTOPE_HEXAHEDRON: 503 return 8; 504 case DM_POLYTOPE_TRI_PRISM: 505 return 6; 506 case DM_POLYTOPE_TRI_PRISM_TENSOR: 507 return 6; 508 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 509 return 8; 510 case DM_POLYTOPE_PYRAMID: 511 return 5; 512 default: 513 return -1; 514 } 515 } 516 517 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 518 { 519 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))); 520 } 521 522 static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 523 { 524 switch (ct) { 525 case DM_POLYTOPE_POINT: 526 return 1; 527 case DM_POLYTOPE_SEGMENT: 528 return 2; 529 case DM_POLYTOPE_POINT_PRISM_TENSOR: 530 return 2; 531 case DM_POLYTOPE_TRIANGLE: 532 return 6; 533 case DM_POLYTOPE_QUADRILATERAL: 534 return 8; 535 case DM_POLYTOPE_SEG_PRISM_TENSOR: 536 return 4; 537 case DM_POLYTOPE_TETRAHEDRON: 538 return 24; 539 case DM_POLYTOPE_HEXAHEDRON: 540 return 48; 541 case DM_POLYTOPE_TRI_PRISM: 542 return 12; 543 case DM_POLYTOPE_TRI_PRISM_TENSOR: 544 return 12; 545 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 546 return 16; 547 case DM_POLYTOPE_PYRAMID: 548 return 8; 549 default: 550 return -1; 551 } 552 } 553 554 /* An arrangement is a face order combined with an orientation for each face */ 555 static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 556 { 557 static const PetscInt pntArr[1 * 2] = {0, 0}; 558 /* a: swap */ 559 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 560 0, 0, 1, 0, 561 /* 0: e */}; 562 /* a: swap first two 563 b: swap last two */ 564 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 565 2, -1, 1, -1, 0, -1, /* -2: aba */ 566 1, -1, 0, -1, 2, -1, /* -1: a */ 567 0, 0, 1, 0, 2, 0, /* 0: identity */ 568 1, 0, 2, 0, 0, 0, /* 1: ba */ 569 2, 0, 0, 0, 1, 0, 570 /* 2: ab */}; 571 /* a: forward cyclic permutation 572 b: swap first and last pairs */ 573 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 574 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 575 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 576 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 577 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 578 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 579 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 580 3, 0, 0, 0, 1, 0, 2, 0, 581 /* 3: a^3 */}; 582 /* r: rotate 180 583 b: swap top and bottom segments */ 584 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 585 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 586 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 587 1, 0, 0, 0, 2, -1, 3, -1, 588 /* 1: b */}; 589 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 590 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 591 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 592 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 593 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 594 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 595 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 596 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 597 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 598 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 599 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 600 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 601 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 602 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 603 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 604 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 605 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 606 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 607 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 608 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 609 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 610 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 611 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 612 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 613 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 614 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 615 static const PetscInt hexArr[48 * 6 * 2] = { 616 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 617 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 618 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 619 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 620 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 621 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 622 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 623 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 624 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 625 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 626 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 627 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 628 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 629 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 630 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 631 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 632 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 633 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 634 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 635 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 636 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 637 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 638 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 639 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 640 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 641 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 642 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 643 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 644 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 645 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 646 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 647 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 648 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 649 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 650 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 651 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 652 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 653 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 654 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 655 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 656 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 657 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 658 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 659 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 660 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 661 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 662 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 663 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 664 }; 665 static const PetscInt tripArr[12 * 5 * 2] = { 666 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 667 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 668 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 669 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 670 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 671 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 672 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 673 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 674 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 675 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 676 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 677 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 678 }; 679 /* a: rotate 120 about z 680 b: swap top and bottom segments 681 r: reflect */ 682 static const PetscInt ttriArr[12 * 5 * 2] = { 683 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 684 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 685 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 686 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 687 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 688 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 689 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 690 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 691 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 692 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 693 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 694 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 695 }; 696 /* a: rotate 90 about z 697 b: swap top and bottom segments 698 r: reflect */ 699 static const PetscInt tquadArr[16 * 6 * 2] = { 700 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 701 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 702 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 703 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 704 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 705 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 706 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 707 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 708 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 709 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 710 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 711 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 712 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 713 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 714 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 715 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 716 }; 717 static const PetscInt pyrArr[8 * 5 * 2] = { 718 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 719 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 720 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 721 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 722 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 723 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 724 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 725 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 726 }; 727 switch (ct) { 728 case DM_POLYTOPE_POINT: 729 return pntArr; 730 case DM_POLYTOPE_SEGMENT: 731 return &segArr[(o + 1) * 2 * 2]; 732 case DM_POLYTOPE_POINT_PRISM_TENSOR: 733 return &segArr[(o + 1) * 2 * 2]; 734 case DM_POLYTOPE_TRIANGLE: 735 return &triArr[(o + 3) * 3 * 2]; 736 case DM_POLYTOPE_QUADRILATERAL: 737 return &quadArr[(o + 4) * 4 * 2]; 738 case DM_POLYTOPE_SEG_PRISM_TENSOR: 739 return &tsegArr[(o + 2) * 4 * 2]; 740 case DM_POLYTOPE_TETRAHEDRON: 741 return &tetArr[(o + 12) * 4 * 2]; 742 case DM_POLYTOPE_HEXAHEDRON: 743 return &hexArr[(o + 24) * 6 * 2]; 744 case DM_POLYTOPE_TRI_PRISM: 745 return &tripArr[(o + 6) * 5 * 2]; 746 case DM_POLYTOPE_TRI_PRISM_TENSOR: 747 return &ttriArr[(o + 6) * 5 * 2]; 748 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 749 return &tquadArr[(o + 8) * 6 * 2]; 750 case DM_POLYTOPE_PYRAMID: 751 return &pyrArr[(o + 4) * 5 * 2]; 752 default: 753 return NULL; 754 } 755 } 756 757 /* A vertex arrangement is a vertex order */ 758 static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 759 { 760 static const PetscInt pntVerts[1] = {0}; 761 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 762 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 763 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}; 764 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 765 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 766 3, 1, 2, 0, /* -11: (14) p21 */ 767 1, 2, 3, 0, /* -10: (1234) p18 */ 768 3, 2, 0, 1, /* -9: (1423) p17 */ 769 2, 0, 3, 1, /* -8: (1342) p13 */ 770 0, 3, 2, 1, /* -7: (24) p14 */ 771 0, 1, 3, 2, /* -6: (34) p6 */ 772 1, 3, 0, 2, /* -5: (1243) p10 */ 773 3, 0, 1, 2, /* -4: (1432 p9 */ 774 1, 0, 2, 3, /* -3: (12) p1 */ 775 0, 2, 1, 3, /* -2: (23) p2 */ 776 2, 1, 0, 3, /* -1: (13) p5 */ 777 0, 1, 2, 3, /* 0: () p0 */ 778 1, 2, 0, 3, /* 1: (123) p4 */ 779 2, 0, 1, 3, /* 2: (132) p3 */ 780 1, 0, 3, 2, /* 3: (12)(34) p7 */ 781 0, 3, 1, 2, /* 4: (243) p8 */ 782 3, 1, 0, 2, /* 5: (143) p11 */ 783 2, 3, 0, 1, /* 6: (13)(24) p16 */ 784 3, 0, 2, 1, /* 7: (142) p15 */ 785 0, 2, 3, 1, /* 8: (234) p12 */ 786 3, 2, 1, 0, /* 9: (14)(23) p23 */ 787 2, 1, 3, 0, /* 10: (134) p19 */ 788 1, 3, 2, 0 /* 11: (124) p20 */}; 789 static const PetscInt hexVerts[48 * 8] = { 790 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 791 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 792 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 793 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 794 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 795 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 796 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 797 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 798 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 799 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 800 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 801 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 802 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 803 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 804 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 805 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 806 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 807 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 808 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 809 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 810 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 811 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 812 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 813 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 814 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 815 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 816 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 817 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 818 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 819 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 820 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 821 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 822 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 823 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 824 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 825 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 826 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 827 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 828 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 829 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 830 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 831 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 832 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 833 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 834 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 835 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 836 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 837 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 838 }; 839 static const PetscInt tripVerts[12 * 6] = { 840 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 841 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 842 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 843 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 844 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 845 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 846 0, 1, 2, 3, 4, 5, /* 0: identity */ 847 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 848 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 849 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 850 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 851 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 852 }; 853 static const PetscInt ttriVerts[12 * 6] = { 854 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 855 3, 5, 4, 0, 2, 1, /* -5: r b a */ 856 5, 4, 3, 2, 1, 0, /* -4: r b */ 857 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 858 0, 2, 1, 3, 5, 4, /* -2: r a */ 859 2, 1, 0, 5, 4, 3, /* -1: r */ 860 0, 1, 2, 3, 4, 5, /* 0: identity */ 861 1, 2, 0, 4, 5, 3, /* 1: a */ 862 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 863 3, 4, 5, 0, 1, 2, /* 3: b */ 864 4, 5, 3, 1, 2, 0, /* 4: b a */ 865 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 866 }; 867 /* a: rotate 90 about z 868 b: swap top and bottom segments 869 r: reflect */ 870 static const PetscInt tquadVerts[16 * 8] = { 871 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 872 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 873 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 874 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 875 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 876 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 877 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 878 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 879 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 880 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 881 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 882 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 883 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 884 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 885 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 886 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 887 }; 888 static const PetscInt pyrVerts[8 * 5] = { 889 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 890 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 891 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 892 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 893 0, 1, 2, 3, 4, /* 0: identity */ 894 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 895 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 896 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 897 }; 898 switch (ct) { 899 case DM_POLYTOPE_POINT: 900 return pntVerts; 901 case DM_POLYTOPE_SEGMENT: 902 return &segVerts[(o + 1) * 2]; 903 case DM_POLYTOPE_POINT_PRISM_TENSOR: 904 return &segVerts[(o + 1) * 2]; 905 case DM_POLYTOPE_TRIANGLE: 906 return &triVerts[(o + 3) * 3]; 907 case DM_POLYTOPE_QUADRILATERAL: 908 return &quadVerts[(o + 4) * 4]; 909 case DM_POLYTOPE_SEG_PRISM_TENSOR: 910 return &tsegVerts[(o + 2) * 4]; 911 case DM_POLYTOPE_TETRAHEDRON: 912 return &tetVerts[(o + 12) * 4]; 913 case DM_POLYTOPE_HEXAHEDRON: 914 return &hexVerts[(o + 24) * 8]; 915 case DM_POLYTOPE_TRI_PRISM: 916 return &tripVerts[(o + 6) * 6]; 917 case DM_POLYTOPE_TRI_PRISM_TENSOR: 918 return &ttriVerts[(o + 6) * 6]; 919 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 920 return &tquadVerts[(o + 8) * 8]; 921 case DM_POLYTOPE_PYRAMID: 922 return &pyrVerts[(o + 4) * 5]; 923 default: 924 return NULL; 925 } 926 } 927 928 /* This is orientation o1 acting on orientation o2 */ 929 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 930 { 931 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 932 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}; 933 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, 934 -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}; 935 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 936 static const PetscInt tetMult[24 * 24] = { 937 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, 938 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, 939 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, 940 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, 941 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, 942 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, 943 -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, 944 -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, 945 -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, 946 -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, 947 -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, 948 -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, 949 }; 950 static const PetscInt hexMult[48 * 48] = { 951 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, 952 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, 953 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, 954 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, 955 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, 956 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, 957 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, 958 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, 959 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, 960 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, 961 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, 962 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, 963 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, 964 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, 965 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, 966 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, 967 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, 968 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, 969 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, 970 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, 971 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, 972 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, 973 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, 974 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, 975 -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, 976 -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, 977 -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, 978 -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, 979 -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, 980 -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, 981 -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, 982 -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, 983 -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, 984 -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, 985 -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, 986 -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, 987 -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, 988 -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, 989 -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, 990 -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, 991 -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, 992 -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, 993 -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, 994 -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, 995 -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, 996 -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, 997 -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, 998 -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, 999 }; 1000 static const PetscInt tripMult[12 * 12] = { 1001 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, 1002 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, 1003 -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, 1004 }; 1005 static const PetscInt ttriMult[12 * 12] = { 1006 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, 1007 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, 1008 -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, 1009 }; 1010 static const PetscInt tquadMult[16 * 16] = { 1011 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, 1012 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, 1013 -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, 1014 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, 1015 -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, 1016 }; 1017 static const PetscInt pyrMult[8 * 8] = { 1018 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, 1019 }; 1020 switch (ct) { 1021 case DM_POLYTOPE_POINT: 1022 return 0; 1023 case DM_POLYTOPE_SEGMENT: 1024 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1025 return segMult[(o1 + 1) * 2 + o2 + 1]; 1026 case DM_POLYTOPE_TRIANGLE: 1027 return triMult[(o1 + 3) * 6 + o2 + 3]; 1028 case DM_POLYTOPE_QUADRILATERAL: 1029 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1030 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1031 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1032 case DM_POLYTOPE_TETRAHEDRON: 1033 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1034 case DM_POLYTOPE_HEXAHEDRON: 1035 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1036 case DM_POLYTOPE_TRI_PRISM: 1037 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1038 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1039 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1040 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1041 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1042 case DM_POLYTOPE_PYRAMID: 1043 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1044 default: 1045 return 0; 1046 } 1047 } 1048 1049 /* This is orientation o1 acting on orientation o2^{-1} */ 1050 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1051 { 1052 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1053 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1054 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}; 1055 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}; 1056 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1057 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1058 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1059 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1060 switch (ct) { 1061 case DM_POLYTOPE_POINT: 1062 return 0; 1063 case DM_POLYTOPE_SEGMENT: 1064 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1065 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1066 case DM_POLYTOPE_TRIANGLE: 1067 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1068 case DM_POLYTOPE_QUADRILATERAL: 1069 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1070 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1071 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1072 case DM_POLYTOPE_TETRAHEDRON: 1073 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1074 case DM_POLYTOPE_HEXAHEDRON: 1075 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1076 case DM_POLYTOPE_TRI_PRISM: 1077 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1078 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1079 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1080 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1081 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1082 case DM_POLYTOPE_PYRAMID: 1083 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1084 default: 1085 return 0; 1086 } 1087 } 1088 1089 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1090 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1091 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1092 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1093 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1094 1095 #endif 1096