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 18 #define DMLOCATEPOINT_POINT_NOT_FOUND -367 19 20 /*J 21 DMType - String with the name of a PETSc `DM` 22 23 Level: beginner 24 25 .seealso: `DMSetType()`, `DM` 26 J*/ 27 typedef const char *DMType; 28 #define DMDA "da" 29 #define DMCOMPOSITE "composite" 30 #define DMSLICED "sliced" 31 #define DMSHELL "shell" 32 #define DMPLEX "plex" 33 #define DMREDUNDANT "redundant" 34 #define DMPATCH "patch" 35 #define DMMOAB "moab" 36 #define DMNETWORK "network" 37 #define DMFOREST "forest" 38 #define DMP4EST "p4est" 39 #define DMP8EST "p8est" 40 #define DMSWARM "swarm" 41 #define DMPRODUCT "product" 42 #define DMSTAG "stag" 43 44 PETSC_EXTERN const char *const DMBoundaryTypes[]; 45 PETSC_EXTERN const char *const DMBoundaryConditionTypes[]; 46 PETSC_EXTERN const char *const DMBlockingTypes[]; 47 PETSC_EXTERN PetscFunctionList DMList; 48 PETSC_EXTERN DMGeneratorFunctionList DMGenerateList; 49 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *); 50 PETSC_EXTERN PetscErrorCode DMClone(DM, DM *); 51 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 52 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 53 PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM)); 54 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 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 DMSetBlockingType(DM, DMBlockingType); 82 PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); 83 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); 84 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); 85 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); 86 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); 87 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *); 88 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); 89 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); 90 PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); 91 PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); 92 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); 93 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); 94 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); 95 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); 96 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); 97 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); 98 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 99 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 100 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 101 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 102 PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); 103 PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); 104 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); 105 PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); 106 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 107 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); 108 109 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); 110 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); 111 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 112 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 113 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); 114 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 115 116 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 117 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); 118 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM, DM, Mat *); 119 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 120 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 121 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); 122 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); 123 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); 124 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); 125 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); 126 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); 127 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); 128 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); 129 PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); 130 131 /* Topology support */ 132 PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); 133 PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); 134 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); 135 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); 136 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); 137 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **); 138 139 /* Coordinate support */ 140 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); 141 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); 142 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); 143 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); 144 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); 145 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); 146 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); 147 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); 148 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); 149 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); 150 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); 151 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); 152 PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); 153 PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); 154 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 155 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); 156 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); 157 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); 158 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); 159 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); 160 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); 161 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); 162 PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); 163 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); 164 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); 165 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); 166 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); 167 PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM, PetscFE); 168 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); 169 170 /* Periodicity support */ 171 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 172 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); 173 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 174 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 175 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); 176 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); 177 178 /* block hook interface */ 179 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 180 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 181 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); 182 183 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); 184 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); 185 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); 186 PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); 187 PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); 188 PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); 189 PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); 190 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); 191 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); 192 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *); 193 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **)); 194 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *); 195 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); 196 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); 197 PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); 198 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); 199 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); 200 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); 201 202 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 203 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 204 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 205 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *); 206 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); 207 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); 208 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **); 209 210 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); 211 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); 212 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); 213 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); 214 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 215 216 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); 217 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 218 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); 219 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 220 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); 221 222 typedef struct NLF_DAAD *NLF; 223 224 #define DM_FILE_CLASSID 1211221 225 226 /* FEM support */ 227 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); 228 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); 229 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); 230 231 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 232 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 233 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 234 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 235 236 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 237 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 238 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 239 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 240 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 241 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 242 static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 243 { 244 return DMGetSection(dm, s); 245 } 246 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 247 { 248 return DMSetSection(dm, s); 249 } 250 static inline PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 251 { 252 return DMGetGlobalSection(dm, s); 253 } 254 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 255 { 256 return DMSetGlobalSection(dm, s); 257 } 258 259 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 260 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 261 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 262 static inline PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 263 { 264 return DMGetSectionSF(dm, s); 265 } 266 static inline PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 267 { 268 return DMSetSectionSF(dm, s); 269 } 270 static inline PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 271 { 272 return DMCreateSectionSF(dm, l, g); 273 } 274 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 275 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 276 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 277 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 278 279 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 280 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 281 282 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 283 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 284 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 285 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 286 287 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 288 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 289 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 290 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 291 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 292 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 293 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 294 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 295 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 296 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 297 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 298 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 299 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 300 301 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 302 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 303 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *); 304 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *); 305 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS); 306 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *); 307 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS); 308 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 309 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 310 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 311 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 312 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 313 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 314 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 315 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 316 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 317 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 318 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 319 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 320 321 /*MC 322 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 323 324 Level: intermediate 325 326 Synopsis: 327 comm - The communicator 328 dim - The spatial dimension of points 329 nInput - The number of input points 330 points - The input point coordinates 331 cells - The cell containing each point 332 n - The number of local points 333 coords - The point coordinates 334 dof - The number of components to interpolate 335 336 .seealso: `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 337 M*/ 338 struct _DMInterpolationInfo { 339 MPI_Comm comm; 340 PetscInt dim; /*1 The spatial dimension of points */ 341 PetscInt nInput; /* The number of input points */ 342 PetscReal *points; /* The input point coordinates */ 343 PetscInt *cells; /* The cell containing each point */ 344 PetscInt n; /* The number of local points */ 345 Vec coords; /* The point coordinates */ 346 PetscInt dof; /* The number of components to interpolate */ 347 }; 348 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 349 350 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 351 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 352 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 353 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 354 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 355 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 356 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 357 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 358 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 359 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 360 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 361 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 362 363 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 364 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 365 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 366 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 367 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 368 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 369 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 370 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 371 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 372 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 373 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 374 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 375 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 376 377 /*E 378 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination DMs with the same name 379 380 Level: advanced 381 382 $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source 383 $ DM_COPY_LABELS_KEEP - keep destination label 384 $ DM_COPY_LABELS_FAIL - throw error 385 386 E*/ 387 typedef enum { 388 DM_COPY_LABELS_REPLACE, 389 DM_COPY_LABELS_KEEP, 390 DM_COPY_LABELS_FAIL 391 } DMCopyLabelsMode; 392 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 393 394 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 395 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 396 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 397 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 398 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 399 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 400 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 401 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 402 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 403 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 404 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 405 406 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 407 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 408 409 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 410 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 411 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 412 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 413 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); 414 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); 415 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); 416 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); 417 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 418 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 419 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 420 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 421 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 422 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 423 424 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 425 426 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 427 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 428 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 429 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 430 431 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 432 { 433 switch (ct) { 434 case DM_POLYTOPE_POINT: 435 return 0; 436 case DM_POLYTOPE_SEGMENT: 437 case DM_POLYTOPE_POINT_PRISM_TENSOR: 438 return 1; 439 case DM_POLYTOPE_TRIANGLE: 440 case DM_POLYTOPE_QUADRILATERAL: 441 case DM_POLYTOPE_SEG_PRISM_TENSOR: 442 return 2; 443 case DM_POLYTOPE_TETRAHEDRON: 444 case DM_POLYTOPE_HEXAHEDRON: 445 case DM_POLYTOPE_TRI_PRISM: 446 case DM_POLYTOPE_TRI_PRISM_TENSOR: 447 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 448 case DM_POLYTOPE_PYRAMID: 449 return 3; 450 default: 451 return -1; 452 } 453 } 454 455 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 456 { 457 switch (ct) { 458 case DM_POLYTOPE_POINT: 459 return 0; 460 case DM_POLYTOPE_SEGMENT: 461 return 2; 462 case DM_POLYTOPE_POINT_PRISM_TENSOR: 463 return 2; 464 case DM_POLYTOPE_TRIANGLE: 465 return 3; 466 case DM_POLYTOPE_QUADRILATERAL: 467 return 4; 468 case DM_POLYTOPE_SEG_PRISM_TENSOR: 469 return 4; 470 case DM_POLYTOPE_TETRAHEDRON: 471 return 4; 472 case DM_POLYTOPE_HEXAHEDRON: 473 return 6; 474 case DM_POLYTOPE_TRI_PRISM: 475 return 5; 476 case DM_POLYTOPE_TRI_PRISM_TENSOR: 477 return 5; 478 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 479 return 6; 480 case DM_POLYTOPE_PYRAMID: 481 return 5; 482 default: 483 return -1; 484 } 485 } 486 487 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 488 { 489 switch (ct) { 490 case DM_POLYTOPE_POINT: 491 return 1; 492 case DM_POLYTOPE_SEGMENT: 493 return 2; 494 case DM_POLYTOPE_POINT_PRISM_TENSOR: 495 return 2; 496 case DM_POLYTOPE_TRIANGLE: 497 return 3; 498 case DM_POLYTOPE_QUADRILATERAL: 499 return 4; 500 case DM_POLYTOPE_SEG_PRISM_TENSOR: 501 return 4; 502 case DM_POLYTOPE_TETRAHEDRON: 503 return 4; 504 case DM_POLYTOPE_HEXAHEDRON: 505 return 8; 506 case DM_POLYTOPE_TRI_PRISM: 507 return 6; 508 case DM_POLYTOPE_TRI_PRISM_TENSOR: 509 return 6; 510 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 511 return 8; 512 case DM_POLYTOPE_PYRAMID: 513 return 5; 514 default: 515 return -1; 516 } 517 } 518 519 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 520 { 521 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))); 522 } 523 524 static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 525 { 526 switch (ct) { 527 case DM_POLYTOPE_POINT: 528 return 1; 529 case DM_POLYTOPE_SEGMENT: 530 return 2; 531 case DM_POLYTOPE_POINT_PRISM_TENSOR: 532 return 2; 533 case DM_POLYTOPE_TRIANGLE: 534 return 6; 535 case DM_POLYTOPE_QUADRILATERAL: 536 return 8; 537 case DM_POLYTOPE_SEG_PRISM_TENSOR: 538 return 4; 539 case DM_POLYTOPE_TETRAHEDRON: 540 return 24; 541 case DM_POLYTOPE_HEXAHEDRON: 542 return 48; 543 case DM_POLYTOPE_TRI_PRISM: 544 return 12; 545 case DM_POLYTOPE_TRI_PRISM_TENSOR: 546 return 12; 547 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 548 return 16; 549 case DM_POLYTOPE_PYRAMID: 550 return 8; 551 default: 552 return -1; 553 } 554 } 555 556 /* An arrangement is a face order combined with an orientation for each face */ 557 static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 558 { 559 static const PetscInt pntArr[1 * 2] = {0, 0}; 560 /* a: swap */ 561 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 562 0, 0, 1, 0, 563 /* 0: e */}; 564 /* a: swap first two 565 b: swap last two */ 566 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 567 2, -1, 1, -1, 0, -1, /* -2: aba */ 568 1, -1, 0, -1, 2, -1, /* -1: a */ 569 0, 0, 1, 0, 2, 0, /* 0: identity */ 570 1, 0, 2, 0, 0, 0, /* 1: ba */ 571 2, 0, 0, 0, 1, 0, 572 /* 2: ab */}; 573 /* a: forward cyclic permutation 574 b: swap first and last pairs */ 575 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 576 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 577 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 578 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 579 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 580 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 581 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 582 3, 0, 0, 0, 1, 0, 2, 0, 583 /* 3: a^3 */}; 584 /* r: rotate 180 585 b: swap top and bottom segments */ 586 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 587 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 588 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 589 1, 0, 0, 0, 2, -1, 3, -1, 590 /* 1: b */}; 591 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 592 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 593 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 594 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 595 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 596 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 597 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 598 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 599 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 600 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 601 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 602 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 603 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 604 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 605 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 606 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 607 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 608 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 609 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 610 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 611 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 612 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 613 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 614 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 615 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 616 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 617 static const PetscInt hexArr[48 * 6 * 2] = { 618 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 619 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 620 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 621 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 622 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 623 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 624 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 625 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 626 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 627 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 628 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 629 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 630 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 631 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 632 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 633 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 634 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 635 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 636 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 637 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 638 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 639 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 640 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 641 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 642 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 643 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 644 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 645 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 646 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 647 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 648 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 649 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 650 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 651 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 652 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 653 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 654 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 655 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 656 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 657 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 658 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 659 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 660 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 661 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 662 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 663 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 664 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 665 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 666 }; 667 static const PetscInt tripArr[12 * 5 * 2] = { 668 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 669 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 670 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 671 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 672 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 673 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 674 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 675 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 676 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 677 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 678 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 679 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 680 }; 681 /* a: rotate 120 about z 682 b: swap top and bottom segments 683 r: reflect */ 684 static const PetscInt ttriArr[12 * 5 * 2] = { 685 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 686 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 687 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 688 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 689 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 690 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 691 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 692 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 693 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 694 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 695 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 696 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 697 }; 698 /* a: rotate 90 about z 699 b: swap top and bottom segments 700 r: reflect */ 701 static const PetscInt tquadArr[16 * 6 * 2] = { 702 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 703 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 704 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 705 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 706 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 707 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 708 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 709 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 710 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 711 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 712 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 713 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 714 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 715 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 716 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 717 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 718 }; 719 static const PetscInt pyrArr[8 * 5 * 2] = { 720 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 721 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 722 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 723 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 724 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 725 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 726 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 727 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 728 }; 729 switch (ct) { 730 case DM_POLYTOPE_POINT: 731 return pntArr; 732 case DM_POLYTOPE_SEGMENT: 733 return &segArr[(o + 1) * 2 * 2]; 734 case DM_POLYTOPE_POINT_PRISM_TENSOR: 735 return &segArr[(o + 1) * 2 * 2]; 736 case DM_POLYTOPE_TRIANGLE: 737 return &triArr[(o + 3) * 3 * 2]; 738 case DM_POLYTOPE_QUADRILATERAL: 739 return &quadArr[(o + 4) * 4 * 2]; 740 case DM_POLYTOPE_SEG_PRISM_TENSOR: 741 return &tsegArr[(o + 2) * 4 * 2]; 742 case DM_POLYTOPE_TETRAHEDRON: 743 return &tetArr[(o + 12) * 4 * 2]; 744 case DM_POLYTOPE_HEXAHEDRON: 745 return &hexArr[(o + 24) * 6 * 2]; 746 case DM_POLYTOPE_TRI_PRISM: 747 return &tripArr[(o + 6) * 5 * 2]; 748 case DM_POLYTOPE_TRI_PRISM_TENSOR: 749 return &ttriArr[(o + 6) * 5 * 2]; 750 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 751 return &tquadArr[(o + 8) * 6 * 2]; 752 case DM_POLYTOPE_PYRAMID: 753 return &pyrArr[(o + 4) * 5 * 2]; 754 default: 755 return NULL; 756 } 757 } 758 759 /* A vertex arrangement is a vertex order */ 760 static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 761 { 762 static const PetscInt pntVerts[1] = {0}; 763 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 764 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 765 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}; 766 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 767 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 768 3, 1, 2, 0, /* -11: (14) p21 */ 769 1, 2, 3, 0, /* -10: (1234) p18 */ 770 3, 2, 0, 1, /* -9: (1423) p17 */ 771 2, 0, 3, 1, /* -8: (1342) p13 */ 772 0, 3, 2, 1, /* -7: (24) p14 */ 773 0, 1, 3, 2, /* -6: (34) p6 */ 774 1, 3, 0, 2, /* -5: (1243) p10 */ 775 3, 0, 1, 2, /* -4: (1432 p9 */ 776 1, 0, 2, 3, /* -3: (12) p1 */ 777 0, 2, 1, 3, /* -2: (23) p2 */ 778 2, 1, 0, 3, /* -1: (13) p5 */ 779 0, 1, 2, 3, /* 0: () p0 */ 780 1, 2, 0, 3, /* 1: (123) p4 */ 781 2, 0, 1, 3, /* 2: (132) p3 */ 782 1, 0, 3, 2, /* 3: (12)(34) p7 */ 783 0, 3, 1, 2, /* 4: (243) p8 */ 784 3, 1, 0, 2, /* 5: (143) p11 */ 785 2, 3, 0, 1, /* 6: (13)(24) p16 */ 786 3, 0, 2, 1, /* 7: (142) p15 */ 787 0, 2, 3, 1, /* 8: (234) p12 */ 788 3, 2, 1, 0, /* 9: (14)(23) p23 */ 789 2, 1, 3, 0, /* 10: (134) p19 */ 790 1, 3, 2, 0 /* 11: (124) p20 */}; 791 static const PetscInt hexVerts[48 * 8] = { 792 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 793 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 794 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 795 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 796 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 797 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 798 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 799 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 800 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 801 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 802 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 803 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 804 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 805 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 806 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 807 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 808 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 809 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 810 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 811 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 812 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 813 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 814 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 815 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 816 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 817 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 818 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 819 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 820 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 821 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 822 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 823 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 824 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 825 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 826 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 827 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 828 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 829 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 830 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 831 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 832 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 833 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 834 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 835 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 836 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 837 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 838 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 839 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 840 }; 841 static const PetscInt tripVerts[12 * 6] = { 842 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 843 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 844 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 845 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 846 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 847 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 848 0, 1, 2, 3, 4, 5, /* 0: identity */ 849 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 850 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 851 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 852 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 853 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 854 }; 855 static const PetscInt ttriVerts[12 * 6] = { 856 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 857 3, 5, 4, 0, 2, 1, /* -5: r b a */ 858 5, 4, 3, 2, 1, 0, /* -4: r b */ 859 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 860 0, 2, 1, 3, 5, 4, /* -2: r a */ 861 2, 1, 0, 5, 4, 3, /* -1: r */ 862 0, 1, 2, 3, 4, 5, /* 0: identity */ 863 1, 2, 0, 4, 5, 3, /* 1: a */ 864 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 865 3, 4, 5, 0, 1, 2, /* 3: b */ 866 4, 5, 3, 1, 2, 0, /* 4: b a */ 867 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 868 }; 869 /* a: rotate 90 about z 870 b: swap top and bottom segments 871 r: reflect */ 872 static const PetscInt tquadVerts[16 * 8] = { 873 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 874 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 875 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 876 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 877 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 878 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 879 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 880 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 881 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 882 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 883 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 884 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 885 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 886 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 887 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 888 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 889 }; 890 static const PetscInt pyrVerts[8 * 5] = { 891 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 892 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 893 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 894 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 895 0, 1, 2, 3, 4, /* 0: identity */ 896 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 897 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 898 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 899 }; 900 switch (ct) { 901 case DM_POLYTOPE_POINT: 902 return pntVerts; 903 case DM_POLYTOPE_SEGMENT: 904 return &segVerts[(o + 1) * 2]; 905 case DM_POLYTOPE_POINT_PRISM_TENSOR: 906 return &segVerts[(o + 1) * 2]; 907 case DM_POLYTOPE_TRIANGLE: 908 return &triVerts[(o + 3) * 3]; 909 case DM_POLYTOPE_QUADRILATERAL: 910 return &quadVerts[(o + 4) * 4]; 911 case DM_POLYTOPE_SEG_PRISM_TENSOR: 912 return &tsegVerts[(o + 2) * 4]; 913 case DM_POLYTOPE_TETRAHEDRON: 914 return &tetVerts[(o + 12) * 4]; 915 case DM_POLYTOPE_HEXAHEDRON: 916 return &hexVerts[(o + 24) * 8]; 917 case DM_POLYTOPE_TRI_PRISM: 918 return &tripVerts[(o + 6) * 6]; 919 case DM_POLYTOPE_TRI_PRISM_TENSOR: 920 return &ttriVerts[(o + 6) * 6]; 921 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 922 return &tquadVerts[(o + 8) * 8]; 923 case DM_POLYTOPE_PYRAMID: 924 return &pyrVerts[(o + 4) * 5]; 925 default: 926 return NULL; 927 } 928 } 929 930 /* This is orientation o1 acting on orientation o2 */ 931 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 932 { 933 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 934 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}; 935 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, 936 -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}; 937 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 938 static const PetscInt tetMult[24 * 24] = { 939 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, 940 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, 941 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, 942 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, 943 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, 944 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, 945 -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, 946 -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, 947 -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, 948 -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, 949 -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, 950 -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, 951 }; 952 static const PetscInt hexMult[48 * 48] = { 953 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, 954 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, 955 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, 956 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, 957 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, 958 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, 959 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, 960 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, 961 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, 962 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, 963 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, 964 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, 965 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, 966 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, 967 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, 968 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, 969 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, 970 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, 971 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, 972 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, 973 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, 974 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, 975 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, 976 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, 977 -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, 978 -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, 979 -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, 980 -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, 981 -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, 982 -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, 983 -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, 984 -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, 985 -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, 986 -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, 987 -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, 988 -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, 989 -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, 990 -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, 991 -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, 992 -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, 993 -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, 994 -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, 995 -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, 996 -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, 997 -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, 998 -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, 999 -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, 1000 -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, 1001 }; 1002 static const PetscInt tripMult[12 * 12] = { 1003 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, 1004 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, 1005 -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, 1006 }; 1007 static const PetscInt ttriMult[12 * 12] = { 1008 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, 1009 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, 1010 -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, 1011 }; 1012 static const PetscInt tquadMult[16 * 16] = { 1013 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, 1014 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, 1015 -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, 1016 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, 1017 -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, 1018 }; 1019 static const PetscInt pyrMult[8 * 8] = { 1020 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, 1021 }; 1022 switch (ct) { 1023 case DM_POLYTOPE_POINT: 1024 return 0; 1025 case DM_POLYTOPE_SEGMENT: 1026 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1027 return segMult[(o1 + 1) * 2 + o2 + 1]; 1028 case DM_POLYTOPE_TRIANGLE: 1029 return triMult[(o1 + 3) * 6 + o2 + 3]; 1030 case DM_POLYTOPE_QUADRILATERAL: 1031 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1032 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1033 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1034 case DM_POLYTOPE_TETRAHEDRON: 1035 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1036 case DM_POLYTOPE_HEXAHEDRON: 1037 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1038 case DM_POLYTOPE_TRI_PRISM: 1039 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1040 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1041 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1042 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1043 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1044 case DM_POLYTOPE_PYRAMID: 1045 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1046 default: 1047 return 0; 1048 } 1049 } 1050 1051 /* This is orientation o1 acting on orientation o2^{-1} */ 1052 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1053 { 1054 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1055 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1056 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}; 1057 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}; 1058 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1059 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1060 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1061 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1062 switch (ct) { 1063 case DM_POLYTOPE_POINT: 1064 return 0; 1065 case DM_POLYTOPE_SEGMENT: 1066 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1067 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1068 case DM_POLYTOPE_TRIANGLE: 1069 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1070 case DM_POLYTOPE_QUADRILATERAL: 1071 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1072 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1073 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1074 case DM_POLYTOPE_TETRAHEDRON: 1075 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1076 case DM_POLYTOPE_HEXAHEDRON: 1077 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1078 case DM_POLYTOPE_TRI_PRISM: 1079 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1080 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1081 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1082 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1083 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1084 case DM_POLYTOPE_PYRAMID: 1085 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1086 default: 1087 return 0; 1088 } 1089 } 1090 1091 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1092 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1093 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1094 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1095 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1096 1097 #endif 1098