1 /* 2 Objects to manage the interactions between the mesh data structures and the algebraic objects 3 */ 4 #pragma once 5 #include <petscmat.h> 6 #include <petscdmtypes.h> 7 #include <petscfetypes.h> 8 #include <petscdstypes.h> 9 #include <petscdmlabel.h> 10 #include <petscdt.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: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `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 DMClearNamedGlobalVectors(DM); 68 PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM); 69 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *); 70 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *); 71 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *); 72 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *); 73 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *); 74 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *); 75 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *); 76 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **); 77 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *); 78 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *); 79 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *); 80 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool); 81 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool); 82 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool); 83 PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType); 84 PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); 85 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); 86 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); 87 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); 88 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); 89 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *); 90 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); 91 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); 92 PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); 93 PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); 94 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); 95 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); 96 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); 97 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); 98 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); 99 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); 100 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 101 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 102 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 103 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 104 PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); 105 PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); 106 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); 107 PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); 108 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 109 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); 110 111 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); 112 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); 113 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 114 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 115 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); 116 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 117 118 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 119 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); 120 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *); 121 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 122 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 123 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); 124 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); 125 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); 126 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); 127 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); 128 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); 129 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); 130 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); 131 PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); 132 133 /* Topology support */ 134 PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); 135 PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); 136 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); 137 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); 138 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); 139 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **); 140 141 /* Coordinate support */ 142 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); 143 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); 144 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); 145 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); 146 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); 147 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); 148 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); 149 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); 150 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); 151 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); 152 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); 153 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); 154 PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); 155 PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); 156 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 157 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); 158 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); 159 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); 160 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); 161 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); 162 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); 163 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); 164 PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); 165 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); 166 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); 167 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); 168 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); 169 PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool); 170 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); 171 172 /* Periodicity support */ 173 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 174 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); 175 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 176 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 177 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); 178 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); 179 180 /* block hook interface */ 181 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 182 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 183 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); 184 185 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); 186 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); 187 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); 188 PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); 189 PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); 190 PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); 191 PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); 192 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); 193 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); 194 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *); 195 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **)); 196 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *); 197 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); 198 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); 199 PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); 200 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); 201 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); 202 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); 203 204 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 205 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 206 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 207 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *); 208 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); 209 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); 210 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **); 211 212 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); 213 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); 214 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); 215 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); 216 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 217 218 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); 219 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 220 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); 221 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 222 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); 223 224 typedef struct NLF_DAAD *NLF; 225 226 #define DM_FILE_CLASSID 1211221 227 228 /* FEM support */ 229 PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]); 230 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); 231 PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]); 232 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); 233 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); 234 235 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 236 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 237 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 238 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 239 240 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 241 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 242 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 243 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 244 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 245 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 246 PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *); 247 PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *); 248 PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag); 249 PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *); 250 PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType); 251 PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool); 252 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 253 { 254 return DMGetSection(dm, s); 255 } 256 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 257 { 258 return DMSetSection(dm, s); 259 } 260 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 261 { 262 return DMGetGlobalSection(dm, s); 263 } 264 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 265 { 266 return DMSetGlobalSection(dm, s); 267 } 268 269 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 270 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 271 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 272 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 273 { 274 return DMGetSectionSF(dm, s); 275 } 276 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 277 { 278 return DMSetSectionSF(dm, s); 279 } 280 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 281 { 282 return DMCreateSectionSF(dm, l, g); 283 } 284 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 285 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 286 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 287 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 288 289 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 290 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 291 292 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 293 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 294 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 295 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 296 297 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 298 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 299 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 300 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 301 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 302 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 303 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 304 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 305 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 306 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 307 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 308 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 309 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 310 311 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 312 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 313 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 314 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 315 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 316 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 317 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 318 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 319 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 320 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 321 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 322 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 323 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 324 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 325 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 326 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 327 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 328 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 329 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 330 PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM); 331 332 /*MC 333 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 334 335 Synopsis: 336 comm - The communicator 337 dim - The spatial dimension of points 338 nInput - The number of input points 339 points - The input point coordinates 340 cells - The cell containing each point 341 n - The number of local points 342 coords - The point coordinates 343 dof - The number of components to interpolate 344 345 Level: intermediate 346 347 .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 348 M*/ 349 struct _DMInterpolationInfo { 350 MPI_Comm comm; 351 PetscInt dim; /*1 The spatial dimension of points */ 352 PetscInt nInput; /* The number of input points */ 353 PetscReal *points; /* The input point coordinates */ 354 PetscInt *cells; /* The cell containing each point */ 355 PetscInt n; /* The number of local points */ 356 Vec coords; /* The point coordinates */ 357 PetscInt dof; /* The number of components to interpolate */ 358 }; 359 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 360 361 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 362 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 363 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 364 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 365 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 366 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 367 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 368 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 369 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 370 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 371 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 372 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 373 374 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 375 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 376 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 377 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 378 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 379 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 380 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 381 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 382 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 383 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 384 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 385 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 386 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 387 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 388 389 /*E 390 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name 391 392 Values: 393 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 394 . `DM_COPY_LABELS_KEEP` - keep destination label 395 - `DM_COPY_LABELS_FAIL` - generate an error 396 397 Level: advanced 398 399 .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 400 E*/ 401 typedef enum { 402 DM_COPY_LABELS_REPLACE, 403 DM_COPY_LABELS_KEEP, 404 DM_COPY_LABELS_FAIL 405 } DMCopyLabelsMode; 406 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 407 408 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 409 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 410 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 411 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 412 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 413 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 414 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 415 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 416 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 417 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 418 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 419 420 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 421 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 422 423 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 424 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 425 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 426 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 427 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); 428 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); 429 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); 430 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); 431 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 432 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 433 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 434 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 435 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 436 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 437 438 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 439 440 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 441 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 442 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 443 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 444 445 static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) 446 { 447 switch (ct) { 448 case DM_POLYTOPE_POINT_PRISM_TENSOR: 449 case DM_POLYTOPE_SEG_PRISM_TENSOR: 450 case DM_POLYTOPE_TRI_PRISM_TENSOR: 451 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 452 return PETSC_TRUE; 453 default: 454 return PETSC_FALSE; 455 } 456 } 457 458 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 459 { 460 switch (ct) { 461 case DM_POLYTOPE_POINT: 462 return 0; 463 case DM_POLYTOPE_SEGMENT: 464 case DM_POLYTOPE_POINT_PRISM_TENSOR: 465 return 1; 466 case DM_POLYTOPE_TRIANGLE: 467 case DM_POLYTOPE_QUADRILATERAL: 468 case DM_POLYTOPE_SEG_PRISM_TENSOR: 469 case DM_POLYTOPE_UNKNOWN_FACE: 470 return 2; 471 case DM_POLYTOPE_TETRAHEDRON: 472 case DM_POLYTOPE_HEXAHEDRON: 473 case DM_POLYTOPE_TRI_PRISM: 474 case DM_POLYTOPE_TRI_PRISM_TENSOR: 475 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 476 case DM_POLYTOPE_PYRAMID: 477 case DM_POLYTOPE_UNKNOWN_CELL: 478 return 3; 479 default: 480 return -1; 481 } 482 } 483 484 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 485 { 486 switch (ct) { 487 case DM_POLYTOPE_POINT: 488 return 0; 489 case DM_POLYTOPE_SEGMENT: 490 return 2; 491 case DM_POLYTOPE_POINT_PRISM_TENSOR: 492 return 2; 493 case DM_POLYTOPE_TRIANGLE: 494 return 3; 495 case DM_POLYTOPE_QUADRILATERAL: 496 return 4; 497 case DM_POLYTOPE_SEG_PRISM_TENSOR: 498 return 4; 499 case DM_POLYTOPE_TETRAHEDRON: 500 return 4; 501 case DM_POLYTOPE_HEXAHEDRON: 502 return 6; 503 case DM_POLYTOPE_TRI_PRISM: 504 return 5; 505 case DM_POLYTOPE_TRI_PRISM_TENSOR: 506 return 5; 507 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 508 return 6; 509 case DM_POLYTOPE_PYRAMID: 510 return 5; 511 default: 512 return -1; 513 } 514 } 515 516 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 517 { 518 switch (ct) { 519 case DM_POLYTOPE_POINT: 520 return 1; 521 case DM_POLYTOPE_SEGMENT: 522 return 2; 523 case DM_POLYTOPE_POINT_PRISM_TENSOR: 524 return 2; 525 case DM_POLYTOPE_TRIANGLE: 526 return 3; 527 case DM_POLYTOPE_QUADRILATERAL: 528 return 4; 529 case DM_POLYTOPE_SEG_PRISM_TENSOR: 530 return 4; 531 case DM_POLYTOPE_TETRAHEDRON: 532 return 4; 533 case DM_POLYTOPE_HEXAHEDRON: 534 return 8; 535 case DM_POLYTOPE_TRI_PRISM: 536 return 6; 537 case DM_POLYTOPE_TRI_PRISM_TENSOR: 538 return 6; 539 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 540 return 8; 541 case DM_POLYTOPE_PYRAMID: 542 return 5; 543 default: 544 return -1; 545 } 546 } 547 548 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 549 { 550 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))); 551 } 552 553 static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) 554 { 555 switch (ct) { 556 case DM_POLYTOPE_POINT: 557 return 1; 558 case DM_POLYTOPE_SEGMENT: 559 return 2; 560 case DM_POLYTOPE_POINT_PRISM_TENSOR: 561 return 2; 562 case DM_POLYTOPE_TRIANGLE: 563 return 6; 564 case DM_POLYTOPE_QUADRILATERAL: 565 return 8; 566 case DM_POLYTOPE_SEG_PRISM_TENSOR: 567 return 4; 568 case DM_POLYTOPE_TETRAHEDRON: 569 return 24; 570 case DM_POLYTOPE_HEXAHEDRON: 571 return 48; 572 case DM_POLYTOPE_TRI_PRISM: 573 return 12; 574 case DM_POLYTOPE_TRI_PRISM_TENSOR: 575 return 12; 576 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 577 return 16; 578 case DM_POLYTOPE_PYRAMID: 579 return 8; 580 default: 581 return -1; 582 } 583 } 584 585 /* An arrangement is a face order combined with an orientation for each face */ 586 static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) 587 { 588 static const PetscInt pntArr[1 * 2] = {0, 0}; 589 /* a: swap */ 590 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 591 0, 0, 1, 0, 592 /* 0: e */}; 593 /* a: swap first two 594 b: swap last two */ 595 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 596 2, -1, 1, -1, 0, -1, /* -2: aba */ 597 1, -1, 0, -1, 2, -1, /* -1: a */ 598 0, 0, 1, 0, 2, 0, /* 0: identity */ 599 1, 0, 2, 0, 0, 0, /* 1: ba */ 600 2, 0, 0, 0, 1, 0, 601 /* 2: ab */}; 602 /* a: forward cyclic permutation 603 b: swap first and last pairs */ 604 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 605 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 606 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 607 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 608 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 609 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 610 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 611 3, 0, 0, 0, 1, 0, 2, 0, 612 /* 3: a^3 */}; 613 /* r: rotate 180 614 b: swap top and bottom segments */ 615 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 616 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 617 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 618 1, 0, 0, 0, 2, -1, 3, -1, 619 /* 1: b */}; 620 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 621 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 622 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 623 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 624 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 625 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 626 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 627 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 628 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 629 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 630 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 631 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 632 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 633 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 634 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 635 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 636 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 637 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 638 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 639 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 640 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 641 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 642 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 643 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 644 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 645 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 646 static const PetscInt hexArr[48 * 6 * 2] = { 647 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 648 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 649 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 650 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 651 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 652 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 653 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 654 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 655 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 656 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 657 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 658 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 659 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 660 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 661 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 662 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 663 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 664 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 665 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 666 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 667 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 668 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 669 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 670 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 671 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 672 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 673 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 674 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 675 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 676 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 677 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 678 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 679 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 680 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 681 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 682 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 683 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 684 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 685 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 686 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 687 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 688 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 689 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 690 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 691 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 692 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 693 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 694 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 695 }; 696 static const PetscInt tripArr[12 * 5 * 2] = { 697 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 698 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 699 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 700 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 701 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 702 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 703 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 704 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 705 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 706 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 707 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 708 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 709 }; 710 /* a: rotate 120 about z 711 b: swap top and bottom segments 712 r: reflect */ 713 static const PetscInt ttriArr[12 * 5 * 2] = { 714 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 715 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 716 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 717 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 718 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 719 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 720 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 721 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 722 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 723 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 724 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 725 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 726 }; 727 /* a: rotate 90 about z 728 b: swap top and bottom segments 729 r: reflect */ 730 static const PetscInt tquadArr[16 * 6 * 2] = { 731 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 732 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 733 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 734 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 735 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 736 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 737 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 738 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 739 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 740 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 741 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 742 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 743 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 744 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 745 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 746 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 747 }; 748 static const PetscInt pyrArr[8 * 5 * 2] = { 749 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 750 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 751 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 752 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 753 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 754 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 755 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 756 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 757 }; 758 switch (ct) { 759 case DM_POLYTOPE_POINT: 760 return pntArr; 761 case DM_POLYTOPE_SEGMENT: 762 return &segArr[(o + 1) * 2 * 2]; 763 case DM_POLYTOPE_POINT_PRISM_TENSOR: 764 return &segArr[(o + 1) * 2 * 2]; 765 case DM_POLYTOPE_TRIANGLE: 766 return &triArr[(o + 3) * 3 * 2]; 767 case DM_POLYTOPE_QUADRILATERAL: 768 return &quadArr[(o + 4) * 4 * 2]; 769 case DM_POLYTOPE_SEG_PRISM_TENSOR: 770 return &tsegArr[(o + 2) * 4 * 2]; 771 case DM_POLYTOPE_TETRAHEDRON: 772 return &tetArr[(o + 12) * 4 * 2]; 773 case DM_POLYTOPE_HEXAHEDRON: 774 return &hexArr[(o + 24) * 6 * 2]; 775 case DM_POLYTOPE_TRI_PRISM: 776 return &tripArr[(o + 6) * 5 * 2]; 777 case DM_POLYTOPE_TRI_PRISM_TENSOR: 778 return &ttriArr[(o + 6) * 5 * 2]; 779 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 780 return &tquadArr[(o + 8) * 6 * 2]; 781 case DM_POLYTOPE_PYRAMID: 782 return &pyrArr[(o + 4) * 5 * 2]; 783 default: 784 return PETSC_NULLPTR; 785 } 786 } 787 788 /* A vertex arrangement is a vertex order */ 789 static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) 790 { 791 static const PetscInt pntVerts[1] = {0}; 792 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 793 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 794 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}; 795 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 796 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 797 3, 1, 2, 0, /* -11: (14) p21 */ 798 1, 2, 3, 0, /* -10: (1234) p18 */ 799 3, 2, 0, 1, /* -9: (1423) p17 */ 800 2, 0, 3, 1, /* -8: (1342) p13 */ 801 0, 3, 2, 1, /* -7: (24) p14 */ 802 0, 1, 3, 2, /* -6: (34) p6 */ 803 1, 3, 0, 2, /* -5: (1243) p10 */ 804 3, 0, 1, 2, /* -4: (1432 p9 */ 805 1, 0, 2, 3, /* -3: (12) p1 */ 806 0, 2, 1, 3, /* -2: (23) p2 */ 807 2, 1, 0, 3, /* -1: (13) p5 */ 808 0, 1, 2, 3, /* 0: () p0 */ 809 1, 2, 0, 3, /* 1: (123) p4 */ 810 2, 0, 1, 3, /* 2: (132) p3 */ 811 1, 0, 3, 2, /* 3: (12)(34) p7 */ 812 0, 3, 1, 2, /* 4: (243) p8 */ 813 3, 1, 0, 2, /* 5: (143) p11 */ 814 2, 3, 0, 1, /* 6: (13)(24) p16 */ 815 3, 0, 2, 1, /* 7: (142) p15 */ 816 0, 2, 3, 1, /* 8: (234) p12 */ 817 3, 2, 1, 0, /* 9: (14)(23) p23 */ 818 2, 1, 3, 0, /* 10: (134) p19 */ 819 1, 3, 2, 0 /* 11: (124) p20 */}; 820 static const PetscInt hexVerts[48 * 8] = { 821 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 822 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 823 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 824 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 825 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 826 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 827 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 828 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 829 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 830 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 831 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 832 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 833 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 834 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 835 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 836 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 837 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 838 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 839 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 840 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 841 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 842 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 843 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 844 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 845 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 846 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 847 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 848 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 849 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 850 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 851 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 852 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 853 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 854 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 855 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 856 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 857 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 858 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 859 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 860 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 861 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 862 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 863 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 864 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 865 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 866 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 867 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 868 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 869 }; 870 static const PetscInt tripVerts[12 * 6] = { 871 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 872 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 873 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 874 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 875 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 876 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 877 0, 1, 2, 3, 4, 5, /* 0: identity */ 878 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 879 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 880 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 881 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 882 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 883 }; 884 static const PetscInt ttriVerts[12 * 6] = { 885 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 886 3, 5, 4, 0, 2, 1, /* -5: r b a */ 887 5, 4, 3, 2, 1, 0, /* -4: r b */ 888 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 889 0, 2, 1, 3, 5, 4, /* -2: r a */ 890 2, 1, 0, 5, 4, 3, /* -1: r */ 891 0, 1, 2, 3, 4, 5, /* 0: identity */ 892 1, 2, 0, 4, 5, 3, /* 1: a */ 893 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 894 3, 4, 5, 0, 1, 2, /* 3: b */ 895 4, 5, 3, 1, 2, 0, /* 4: b a */ 896 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 897 }; 898 /* a: rotate 90 about z 899 b: swap top and bottom segments 900 r: reflect */ 901 static const PetscInt tquadVerts[16 * 8] = { 902 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 903 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 904 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 905 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 906 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 907 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 908 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 909 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 910 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 911 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 912 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 913 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 914 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 915 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 916 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 917 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 918 }; 919 static const PetscInt pyrVerts[8 * 5] = { 920 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 921 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 922 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 923 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 924 0, 1, 2, 3, 4, /* 0: identity */ 925 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 926 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 927 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 928 }; 929 switch (ct) { 930 case DM_POLYTOPE_POINT: 931 return pntVerts; 932 case DM_POLYTOPE_SEGMENT: 933 return &segVerts[(o + 1) * 2]; 934 case DM_POLYTOPE_POINT_PRISM_TENSOR: 935 return &segVerts[(o + 1) * 2]; 936 case DM_POLYTOPE_TRIANGLE: 937 return &triVerts[(o + 3) * 3]; 938 case DM_POLYTOPE_QUADRILATERAL: 939 return &quadVerts[(o + 4) * 4]; 940 case DM_POLYTOPE_SEG_PRISM_TENSOR: 941 return &tsegVerts[(o + 2) * 4]; 942 case DM_POLYTOPE_TETRAHEDRON: 943 return &tetVerts[(o + 12) * 4]; 944 case DM_POLYTOPE_HEXAHEDRON: 945 return &hexVerts[(o + 24) * 8]; 946 case DM_POLYTOPE_TRI_PRISM: 947 return &tripVerts[(o + 6) * 6]; 948 case DM_POLYTOPE_TRI_PRISM_TENSOR: 949 return &ttriVerts[(o + 6) * 6]; 950 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 951 return &tquadVerts[(o + 8) * 8]; 952 case DM_POLYTOPE_PYRAMID: 953 return &pyrVerts[(o + 4) * 5]; 954 default: 955 return PETSC_NULLPTR; 956 } 957 } 958 959 /* This is orientation o1 acting on orientation o2 */ 960 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 961 { 962 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 963 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}; 964 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, 965 -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}; 966 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 967 static const PetscInt tetMult[24 * 24] = { 968 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, 969 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, 970 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, 971 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, 972 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, 973 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, 974 -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, 975 -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, 976 -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, 977 -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, 978 -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, 979 -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, 980 }; 981 static const PetscInt hexMult[48 * 48] = { 982 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, 983 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, 984 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, 985 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, 986 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, 987 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, 988 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, 989 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, 990 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, 991 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, 992 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, 993 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, 994 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, 995 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, 996 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, 997 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, 998 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, 999 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, 1000 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, 1001 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, 1002 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, 1003 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, 1004 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, 1005 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, 1006 -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, 1007 -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, 1008 -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, 1009 -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, 1010 -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, 1011 -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, 1012 -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, 1013 -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, 1014 -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, 1015 -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, 1016 -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, 1017 -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, 1018 -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, 1019 -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, 1020 -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, 1021 -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, 1022 -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, 1023 -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, 1024 -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, 1025 -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, 1026 -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, 1027 -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, 1028 -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, 1029 -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, 1030 }; 1031 static const PetscInt tripMult[12 * 12] = { 1032 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, 1033 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, 1034 -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, 1035 }; 1036 static const PetscInt ttriMult[12 * 12] = { 1037 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, 1038 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, 1039 -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, 1040 }; 1041 static const PetscInt tquadMult[16 * 16] = { 1042 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, 1043 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, 1044 -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, 1045 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, 1046 -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, 1047 }; 1048 static const PetscInt pyrMult[8 * 8] = { 1049 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, 1050 }; 1051 switch (ct) { 1052 case DM_POLYTOPE_POINT: 1053 return 0; 1054 case DM_POLYTOPE_SEGMENT: 1055 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1056 return segMult[(o1 + 1) * 2 + o2 + 1]; 1057 case DM_POLYTOPE_TRIANGLE: 1058 return triMult[(o1 + 3) * 6 + o2 + 3]; 1059 case DM_POLYTOPE_QUADRILATERAL: 1060 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1061 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1062 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1063 case DM_POLYTOPE_TETRAHEDRON: 1064 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1065 case DM_POLYTOPE_HEXAHEDRON: 1066 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1067 case DM_POLYTOPE_TRI_PRISM: 1068 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1069 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1070 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1071 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1072 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1073 case DM_POLYTOPE_PYRAMID: 1074 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1075 default: 1076 return 0; 1077 } 1078 } 1079 1080 /* This is orientation o1 acting on orientation o2^{-1} */ 1081 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1082 { 1083 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1084 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1085 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}; 1086 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}; 1087 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1088 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1089 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1090 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1091 switch (ct) { 1092 case DM_POLYTOPE_POINT: 1093 return 0; 1094 case DM_POLYTOPE_SEGMENT: 1095 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1096 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1097 case DM_POLYTOPE_TRIANGLE: 1098 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1099 case DM_POLYTOPE_QUADRILATERAL: 1100 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1101 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1102 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1103 case DM_POLYTOPE_TETRAHEDRON: 1104 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1105 case DM_POLYTOPE_HEXAHEDRON: 1106 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1107 case DM_POLYTOPE_TRI_PRISM: 1108 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1109 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1110 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1111 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1112 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1113 case DM_POLYTOPE_PYRAMID: 1114 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1115 default: 1116 return 0; 1117 } 1118 } 1119 1120 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1121 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1122 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1123 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1124 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1125