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 #include <petscdt.h> 12 13 /* SUBMANSEC = DM */ 14 15 PETSC_EXTERN PetscErrorCode DMInitializePackage(void); 16 17 PETSC_EXTERN PetscClassId DM_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: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `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 const char *const DMBlockingTypes[]; 48 PETSC_EXTERN PetscFunctionList DMList; 49 PETSC_EXTERN DMGeneratorFunctionList DMGenerateList; 50 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *); 51 PETSC_EXTERN PetscErrorCode DMClone(DM, DM *); 52 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 53 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 54 PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM)); 55 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 56 57 PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer); 58 PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer); 59 PETSC_EXTERN PetscErrorCode DMDestroy(DM *); 60 PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *); 61 PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *); 62 PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *); 63 PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *); 64 PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *); 65 PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *); 66 PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); 67 PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); 68 PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM); 69 PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM); 70 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *); 71 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *); 72 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *); 73 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *); 74 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *); 75 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *); 76 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *); 77 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **); 78 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *); 79 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *); 80 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *); 81 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool); 82 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool); 83 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool); 84 PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType); 85 PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); 86 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); 87 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); 88 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); 89 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); 90 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *); 91 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); 92 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); 93 PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); 94 PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); 95 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); 96 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); 97 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); 98 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); 99 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); 100 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); 101 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 102 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 103 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 104 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 105 PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); 106 PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); 107 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); 108 PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); 109 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 110 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); 111 112 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); 113 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); 114 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 115 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 116 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); 117 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 118 119 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 120 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); 121 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *); 122 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 123 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 124 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); 125 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); 126 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); 127 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); 128 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); 129 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); 130 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); 131 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); 132 PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); 133 134 /* Topology support */ 135 PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); 136 PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); 137 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); 138 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); 139 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); 140 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **); 141 142 /* Coordinate support */ 143 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); 144 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); 145 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); 146 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); 147 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); 148 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); 149 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); 150 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); 151 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); 152 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); 153 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); 154 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); 155 PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); 156 PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); 157 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 158 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); 159 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); 160 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); 161 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); 162 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); 163 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); 164 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); 165 PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); 166 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); 167 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); 168 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); 169 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); 170 PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM, PetscFE); 171 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); 172 173 /* Periodicity support */ 174 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 175 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); 176 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 177 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 178 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); 179 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); 180 181 /* block hook interface */ 182 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 183 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 184 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); 185 186 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); 187 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); 188 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); 189 PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); 190 PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); 191 PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); 192 PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); 193 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); 194 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); 195 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *); 196 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **)); 197 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *); 198 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); 199 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); 200 PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); 201 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); 202 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); 203 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); 204 205 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 206 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 207 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 208 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *); 209 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); 210 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); 211 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **); 212 213 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); 214 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); 215 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); 216 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); 217 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 218 219 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); 220 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 221 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); 222 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 223 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); 224 225 typedef struct NLF_DAAD *NLF; 226 227 #define DM_FILE_CLASSID 1211221 228 229 /* FEM support */ 230 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); 231 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); 232 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); 233 234 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 235 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 236 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 237 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 238 239 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 240 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 241 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 242 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 243 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 244 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 245 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 246 { 247 return DMGetSection(dm, s); 248 } 249 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 250 { 251 return DMSetSection(dm, s); 252 } 253 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 254 { 255 return DMGetGlobalSection(dm, s); 256 } 257 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 258 { 259 return DMSetGlobalSection(dm, s); 260 } 261 262 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 263 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 264 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 265 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 266 { 267 return DMGetSectionSF(dm, s); 268 } 269 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 270 { 271 return DMSetSectionSF(dm, s); 272 } 273 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 274 { 275 return DMCreateSectionSF(dm, l, g); 276 } 277 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 278 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 279 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 280 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 281 282 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 283 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 284 285 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 286 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 287 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 288 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 289 290 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 291 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 292 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 293 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 294 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 295 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 296 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 297 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 298 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 299 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 300 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 301 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 302 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 303 304 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 305 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 306 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 307 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 308 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 309 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 310 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 311 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 312 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 313 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 314 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 315 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 316 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 317 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 318 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 319 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 320 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 321 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 322 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 323 324 /*MC 325 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 326 327 Synopsis: 328 comm - The communicator 329 dim - The spatial dimension of points 330 nInput - The number of input points 331 points - The input point coordinates 332 cells - The cell containing each point 333 n - The number of local points 334 coords - The point coordinates 335 dof - The number of components to interpolate 336 337 Level: intermediate 338 339 .seealso: `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 340 M*/ 341 struct _DMInterpolationInfo { 342 MPI_Comm comm; 343 PetscInt dim; /*1 The spatial dimension of points */ 344 PetscInt nInput; /* The number of input points */ 345 PetscReal *points; /* The input point coordinates */ 346 PetscInt *cells; /* The cell containing each point */ 347 PetscInt n; /* The number of local points */ 348 Vec coords; /* The point coordinates */ 349 PetscInt dof; /* The number of components to interpolate */ 350 }; 351 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 352 353 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 354 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 355 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 356 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 357 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 358 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 359 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 360 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 361 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 362 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 363 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 364 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 365 366 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 367 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 368 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 369 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 370 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 371 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 372 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 373 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 374 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 375 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 376 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 377 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 378 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 379 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 380 381 /*E 382 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination DMs with the same name 383 384 Values: 385 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 386 . `DM_COPY_LABELS_KEEP` - keep destination label 387 - `DM_COPY_LABELS_FAIL` - throw error 388 389 Level: advanced 390 391 .seealso: `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 392 E*/ 393 typedef enum { 394 DM_COPY_LABELS_REPLACE, 395 DM_COPY_LABELS_KEEP, 396 DM_COPY_LABELS_FAIL 397 } DMCopyLabelsMode; 398 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 399 400 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 401 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 402 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 403 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 404 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 405 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 406 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 407 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 408 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 409 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 410 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 411 412 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 413 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 414 415 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 416 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 417 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 418 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 419 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); 420 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); 421 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); 422 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); 423 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 424 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 425 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 426 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 427 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 428 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 429 430 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 431 432 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 433 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 434 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 435 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 436 437 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 438 { 439 switch (ct) { 440 case DM_POLYTOPE_POINT: 441 return 0; 442 case DM_POLYTOPE_SEGMENT: 443 case DM_POLYTOPE_POINT_PRISM_TENSOR: 444 return 1; 445 case DM_POLYTOPE_TRIANGLE: 446 case DM_POLYTOPE_QUADRILATERAL: 447 case DM_POLYTOPE_SEG_PRISM_TENSOR: 448 return 2; 449 case DM_POLYTOPE_TETRAHEDRON: 450 case DM_POLYTOPE_HEXAHEDRON: 451 case DM_POLYTOPE_TRI_PRISM: 452 case DM_POLYTOPE_TRI_PRISM_TENSOR: 453 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 454 case DM_POLYTOPE_PYRAMID: 455 return 3; 456 default: 457 return -1; 458 } 459 } 460 461 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 462 { 463 switch (ct) { 464 case DM_POLYTOPE_POINT: 465 return 0; 466 case DM_POLYTOPE_SEGMENT: 467 return 2; 468 case DM_POLYTOPE_POINT_PRISM_TENSOR: 469 return 2; 470 case DM_POLYTOPE_TRIANGLE: 471 return 3; 472 case DM_POLYTOPE_QUADRILATERAL: 473 return 4; 474 case DM_POLYTOPE_SEG_PRISM_TENSOR: 475 return 4; 476 case DM_POLYTOPE_TETRAHEDRON: 477 return 4; 478 case DM_POLYTOPE_HEXAHEDRON: 479 return 6; 480 case DM_POLYTOPE_TRI_PRISM: 481 return 5; 482 case DM_POLYTOPE_TRI_PRISM_TENSOR: 483 return 5; 484 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 485 return 6; 486 case DM_POLYTOPE_PYRAMID: 487 return 5; 488 default: 489 return -1; 490 } 491 } 492 493 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 494 { 495 switch (ct) { 496 case DM_POLYTOPE_POINT: 497 return 1; 498 case DM_POLYTOPE_SEGMENT: 499 return 2; 500 case DM_POLYTOPE_POINT_PRISM_TENSOR: 501 return 2; 502 case DM_POLYTOPE_TRIANGLE: 503 return 3; 504 case DM_POLYTOPE_QUADRILATERAL: 505 return 4; 506 case DM_POLYTOPE_SEG_PRISM_TENSOR: 507 return 4; 508 case DM_POLYTOPE_TETRAHEDRON: 509 return 4; 510 case DM_POLYTOPE_HEXAHEDRON: 511 return 8; 512 case DM_POLYTOPE_TRI_PRISM: 513 return 6; 514 case DM_POLYTOPE_TRI_PRISM_TENSOR: 515 return 6; 516 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 517 return 8; 518 case DM_POLYTOPE_PYRAMID: 519 return 5; 520 default: 521 return -1; 522 } 523 } 524 525 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 526 { 527 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))); 528 } 529 530 static inline PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 531 { 532 switch (ct) { 533 case DM_POLYTOPE_POINT: 534 return 1; 535 case DM_POLYTOPE_SEGMENT: 536 return 2; 537 case DM_POLYTOPE_POINT_PRISM_TENSOR: 538 return 2; 539 case DM_POLYTOPE_TRIANGLE: 540 return 6; 541 case DM_POLYTOPE_QUADRILATERAL: 542 return 8; 543 case DM_POLYTOPE_SEG_PRISM_TENSOR: 544 return 4; 545 case DM_POLYTOPE_TETRAHEDRON: 546 return 24; 547 case DM_POLYTOPE_HEXAHEDRON: 548 return 48; 549 case DM_POLYTOPE_TRI_PRISM: 550 return 12; 551 case DM_POLYTOPE_TRI_PRISM_TENSOR: 552 return 12; 553 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 554 return 16; 555 case DM_POLYTOPE_PYRAMID: 556 return 8; 557 default: 558 return -1; 559 } 560 } 561 562 /* An arrangement is a face order combined with an orientation for each face */ 563 static inline const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 564 { 565 static const PetscInt pntArr[1 * 2] = {0, 0}; 566 /* a: swap */ 567 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 568 0, 0, 1, 0, 569 /* 0: e */}; 570 /* a: swap first two 571 b: swap last two */ 572 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 573 2, -1, 1, -1, 0, -1, /* -2: aba */ 574 1, -1, 0, -1, 2, -1, /* -1: a */ 575 0, 0, 1, 0, 2, 0, /* 0: identity */ 576 1, 0, 2, 0, 0, 0, /* 1: ba */ 577 2, 0, 0, 0, 1, 0, 578 /* 2: ab */}; 579 /* a: forward cyclic permutation 580 b: swap first and last pairs */ 581 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 582 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 583 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 584 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 585 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 586 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 587 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 588 3, 0, 0, 0, 1, 0, 2, 0, 589 /* 3: a^3 */}; 590 /* r: rotate 180 591 b: swap top and bottom segments */ 592 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 593 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 594 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 595 1, 0, 0, 0, 2, -1, 3, -1, 596 /* 1: b */}; 597 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 598 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 599 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 600 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 601 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 602 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 603 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 604 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 605 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 606 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 607 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 608 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 609 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 610 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 611 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 612 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 613 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 614 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 615 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 616 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 617 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 618 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 619 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 620 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 621 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 622 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 623 static const PetscInt hexArr[48 * 6 * 2] = { 624 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 625 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 626 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 627 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 628 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 629 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 630 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 631 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 632 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 633 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 634 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 635 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 636 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 637 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 638 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 639 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 640 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 641 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 642 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 643 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 644 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 645 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 646 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 647 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 648 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 649 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 650 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 651 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 652 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 653 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 654 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 655 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 656 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 657 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 658 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 659 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 660 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 661 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 662 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 663 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 664 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 665 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 666 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 667 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 668 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 669 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 670 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 671 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 672 }; 673 static const PetscInt tripArr[12 * 5 * 2] = { 674 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 675 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 676 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 677 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 678 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 679 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 680 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 681 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 682 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 683 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 684 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 685 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 686 }; 687 /* a: rotate 120 about z 688 b: swap top and bottom segments 689 r: reflect */ 690 static const PetscInt ttriArr[12 * 5 * 2] = { 691 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 692 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 693 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 694 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 695 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 696 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 697 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 698 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 699 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 700 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 701 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 702 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 703 }; 704 /* a: rotate 90 about z 705 b: swap top and bottom segments 706 r: reflect */ 707 static const PetscInt tquadArr[16 * 6 * 2] = { 708 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 709 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 710 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 711 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 712 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 713 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 714 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 715 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 716 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 717 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 718 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 719 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 720 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 721 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 722 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 723 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 724 }; 725 static const PetscInt pyrArr[8 * 5 * 2] = { 726 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 727 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 728 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 729 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 730 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 731 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 732 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 733 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 734 }; 735 switch (ct) { 736 case DM_POLYTOPE_POINT: 737 return pntArr; 738 case DM_POLYTOPE_SEGMENT: 739 return &segArr[(o + 1) * 2 * 2]; 740 case DM_POLYTOPE_POINT_PRISM_TENSOR: 741 return &segArr[(o + 1) * 2 * 2]; 742 case DM_POLYTOPE_TRIANGLE: 743 return &triArr[(o + 3) * 3 * 2]; 744 case DM_POLYTOPE_QUADRILATERAL: 745 return &quadArr[(o + 4) * 4 * 2]; 746 case DM_POLYTOPE_SEG_PRISM_TENSOR: 747 return &tsegArr[(o + 2) * 4 * 2]; 748 case DM_POLYTOPE_TETRAHEDRON: 749 return &tetArr[(o + 12) * 4 * 2]; 750 case DM_POLYTOPE_HEXAHEDRON: 751 return &hexArr[(o + 24) * 6 * 2]; 752 case DM_POLYTOPE_TRI_PRISM: 753 return &tripArr[(o + 6) * 5 * 2]; 754 case DM_POLYTOPE_TRI_PRISM_TENSOR: 755 return &ttriArr[(o + 6) * 5 * 2]; 756 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 757 return &tquadArr[(o + 8) * 6 * 2]; 758 case DM_POLYTOPE_PYRAMID: 759 return &pyrArr[(o + 4) * 5 * 2]; 760 default: 761 return PETSC_NULLPTR; 762 } 763 } 764 765 /* A vertex arrangement is a vertex order */ 766 static inline const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 767 { 768 static const PetscInt pntVerts[1] = {0}; 769 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 770 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 771 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}; 772 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 773 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 774 3, 1, 2, 0, /* -11: (14) p21 */ 775 1, 2, 3, 0, /* -10: (1234) p18 */ 776 3, 2, 0, 1, /* -9: (1423) p17 */ 777 2, 0, 3, 1, /* -8: (1342) p13 */ 778 0, 3, 2, 1, /* -7: (24) p14 */ 779 0, 1, 3, 2, /* -6: (34) p6 */ 780 1, 3, 0, 2, /* -5: (1243) p10 */ 781 3, 0, 1, 2, /* -4: (1432 p9 */ 782 1, 0, 2, 3, /* -3: (12) p1 */ 783 0, 2, 1, 3, /* -2: (23) p2 */ 784 2, 1, 0, 3, /* -1: (13) p5 */ 785 0, 1, 2, 3, /* 0: () p0 */ 786 1, 2, 0, 3, /* 1: (123) p4 */ 787 2, 0, 1, 3, /* 2: (132) p3 */ 788 1, 0, 3, 2, /* 3: (12)(34) p7 */ 789 0, 3, 1, 2, /* 4: (243) p8 */ 790 3, 1, 0, 2, /* 5: (143) p11 */ 791 2, 3, 0, 1, /* 6: (13)(24) p16 */ 792 3, 0, 2, 1, /* 7: (142) p15 */ 793 0, 2, 3, 1, /* 8: (234) p12 */ 794 3, 2, 1, 0, /* 9: (14)(23) p23 */ 795 2, 1, 3, 0, /* 10: (134) p19 */ 796 1, 3, 2, 0 /* 11: (124) p20 */}; 797 static const PetscInt hexVerts[48 * 8] = { 798 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 799 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 800 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 801 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 802 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 803 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 804 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 805 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 806 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 807 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 808 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 809 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 810 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 811 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 812 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 813 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 814 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 815 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 816 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 817 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 818 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 819 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 820 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 821 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 822 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 823 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 824 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 825 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 826 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 827 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 828 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 829 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 830 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 831 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 832 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 833 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 834 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 835 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 836 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 837 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 838 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 839 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 840 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 841 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 842 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 843 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 844 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 845 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 846 }; 847 static const PetscInt tripVerts[12 * 6] = { 848 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 849 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 850 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 851 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 852 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 853 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 854 0, 1, 2, 3, 4, 5, /* 0: identity */ 855 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 856 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 857 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 858 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 859 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 860 }; 861 static const PetscInt ttriVerts[12 * 6] = { 862 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 863 3, 5, 4, 0, 2, 1, /* -5: r b a */ 864 5, 4, 3, 2, 1, 0, /* -4: r b */ 865 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 866 0, 2, 1, 3, 5, 4, /* -2: r a */ 867 2, 1, 0, 5, 4, 3, /* -1: r */ 868 0, 1, 2, 3, 4, 5, /* 0: identity */ 869 1, 2, 0, 4, 5, 3, /* 1: a */ 870 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 871 3, 4, 5, 0, 1, 2, /* 3: b */ 872 4, 5, 3, 1, 2, 0, /* 4: b a */ 873 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 874 }; 875 /* a: rotate 90 about z 876 b: swap top and bottom segments 877 r: reflect */ 878 static const PetscInt tquadVerts[16 * 8] = { 879 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 880 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 881 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 882 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 883 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 884 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 885 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 886 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 887 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 888 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 889 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 890 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 891 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 892 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 893 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 894 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 895 }; 896 static const PetscInt pyrVerts[8 * 5] = { 897 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 898 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 899 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 900 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 901 0, 1, 2, 3, 4, /* 0: identity */ 902 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 903 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 904 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 905 }; 906 switch (ct) { 907 case DM_POLYTOPE_POINT: 908 return pntVerts; 909 case DM_POLYTOPE_SEGMENT: 910 return &segVerts[(o + 1) * 2]; 911 case DM_POLYTOPE_POINT_PRISM_TENSOR: 912 return &segVerts[(o + 1) * 2]; 913 case DM_POLYTOPE_TRIANGLE: 914 return &triVerts[(o + 3) * 3]; 915 case DM_POLYTOPE_QUADRILATERAL: 916 return &quadVerts[(o + 4) * 4]; 917 case DM_POLYTOPE_SEG_PRISM_TENSOR: 918 return &tsegVerts[(o + 2) * 4]; 919 case DM_POLYTOPE_TETRAHEDRON: 920 return &tetVerts[(o + 12) * 4]; 921 case DM_POLYTOPE_HEXAHEDRON: 922 return &hexVerts[(o + 24) * 8]; 923 case DM_POLYTOPE_TRI_PRISM: 924 return &tripVerts[(o + 6) * 6]; 925 case DM_POLYTOPE_TRI_PRISM_TENSOR: 926 return &ttriVerts[(o + 6) * 6]; 927 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 928 return &tquadVerts[(o + 8) * 8]; 929 case DM_POLYTOPE_PYRAMID: 930 return &pyrVerts[(o + 4) * 5]; 931 default: 932 return PETSC_NULLPTR; 933 } 934 } 935 936 /* This is orientation o1 acting on orientation o2 */ 937 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 938 { 939 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 940 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}; 941 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, 942 -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}; 943 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 944 static const PetscInt tetMult[24 * 24] = { 945 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, 946 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, 947 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, 948 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, 949 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, 950 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, 951 -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, 952 -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, 953 -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, 954 -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, 955 -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, 956 -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, 957 }; 958 static const PetscInt hexMult[48 * 48] = { 959 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, 960 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, 961 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, 962 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, 963 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, 964 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, 965 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, 966 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, 967 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, 968 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, 969 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, 970 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, 971 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, 972 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, 973 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, 974 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, 975 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, 976 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, 977 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, 978 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, 979 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, 980 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, 981 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, 982 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, 983 -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, 984 -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, 985 -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, 986 -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, 987 -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, 988 -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, 989 -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, 990 -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, 991 -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, 992 -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, 993 -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, 994 -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, 995 -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, 996 -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, 997 -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, 998 -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, 999 -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, 1000 -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, 1001 -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, 1002 -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, 1003 -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, 1004 -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, 1005 -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, 1006 -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, 1007 }; 1008 static const PetscInt tripMult[12 * 12] = { 1009 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, 1010 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, 1011 -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, 1012 }; 1013 static const PetscInt ttriMult[12 * 12] = { 1014 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, 1015 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, 1016 -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, 1017 }; 1018 static const PetscInt tquadMult[16 * 16] = { 1019 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, 1020 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, 1021 -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, 1022 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, 1023 -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, 1024 }; 1025 static const PetscInt pyrMult[8 * 8] = { 1026 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, 1027 }; 1028 switch (ct) { 1029 case DM_POLYTOPE_POINT: 1030 return 0; 1031 case DM_POLYTOPE_SEGMENT: 1032 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1033 return segMult[(o1 + 1) * 2 + o2 + 1]; 1034 case DM_POLYTOPE_TRIANGLE: 1035 return triMult[(o1 + 3) * 6 + o2 + 3]; 1036 case DM_POLYTOPE_QUADRILATERAL: 1037 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1038 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1039 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1040 case DM_POLYTOPE_TETRAHEDRON: 1041 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1042 case DM_POLYTOPE_HEXAHEDRON: 1043 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1044 case DM_POLYTOPE_TRI_PRISM: 1045 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1046 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1047 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1048 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1049 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1050 case DM_POLYTOPE_PYRAMID: 1051 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1052 default: 1053 return 0; 1054 } 1055 } 1056 1057 /* This is orientation o1 acting on orientation o2^{-1} */ 1058 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1059 { 1060 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1061 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1062 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}; 1063 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}; 1064 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1065 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1066 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1067 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1068 switch (ct) { 1069 case DM_POLYTOPE_POINT: 1070 return 0; 1071 case DM_POLYTOPE_SEGMENT: 1072 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1073 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1074 case DM_POLYTOPE_TRIANGLE: 1075 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1076 case DM_POLYTOPE_QUADRILATERAL: 1077 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1078 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1079 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1080 case DM_POLYTOPE_TETRAHEDRON: 1081 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1082 case DM_POLYTOPE_HEXAHEDRON: 1083 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1084 case DM_POLYTOPE_TRI_PRISM: 1085 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1086 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1087 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1088 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1089 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1090 case DM_POLYTOPE_PYRAMID: 1091 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1092 default: 1093 return 0; 1094 } 1095 } 1096 1097 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1098 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1099 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1100 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1101 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1102 1103 #endif 1104