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 DMUseTensorOrder(DM, PetscBool); 247 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 248 { 249 return DMGetSection(dm, s); 250 } 251 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 252 { 253 return DMSetSection(dm, s); 254 } 255 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 256 { 257 return DMGetGlobalSection(dm, s); 258 } 259 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 260 { 261 return DMSetGlobalSection(dm, s); 262 } 263 264 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 265 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 266 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 267 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 268 { 269 return DMGetSectionSF(dm, s); 270 } 271 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 272 { 273 return DMSetSectionSF(dm, s); 274 } 275 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 276 { 277 return DMCreateSectionSF(dm, l, g); 278 } 279 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 280 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 281 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 282 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 283 284 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 285 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 286 287 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 288 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 289 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 290 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 291 292 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 293 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 294 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 295 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 296 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 297 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 298 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 299 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 300 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 301 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 302 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 303 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 304 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 305 306 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 307 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 308 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 309 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 310 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 311 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 312 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 313 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 314 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 315 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 316 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 317 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 318 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 319 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 320 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 321 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 322 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 323 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 324 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 325 326 /*MC 327 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 328 329 Synopsis: 330 comm - The communicator 331 dim - The spatial dimension of points 332 nInput - The number of input points 333 points - The input point coordinates 334 cells - The cell containing each point 335 n - The number of local points 336 coords - The point coordinates 337 dof - The number of components to interpolate 338 339 Level: intermediate 340 341 .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 342 M*/ 343 struct _DMInterpolationInfo { 344 MPI_Comm comm; 345 PetscInt dim; /*1 The spatial dimension of points */ 346 PetscInt nInput; /* The number of input points */ 347 PetscReal *points; /* The input point coordinates */ 348 PetscInt *cells; /* The cell containing each point */ 349 PetscInt n; /* The number of local points */ 350 Vec coords; /* The point coordinates */ 351 PetscInt dof; /* The number of components to interpolate */ 352 }; 353 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 354 355 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 356 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 357 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 358 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 359 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 360 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 361 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 362 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 363 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 364 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 365 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 366 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 367 368 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 369 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 370 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 371 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 372 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 373 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 374 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 375 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 376 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 377 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 378 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 379 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 380 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 381 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 382 383 /*E 384 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name 385 386 Values: 387 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 388 . `DM_COPY_LABELS_KEEP` - keep destination label 389 - `DM_COPY_LABELS_FAIL` - generate an error 390 391 Level: advanced 392 393 .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 394 E*/ 395 typedef enum { 396 DM_COPY_LABELS_REPLACE, 397 DM_COPY_LABELS_KEEP, 398 DM_COPY_LABELS_FAIL 399 } DMCopyLabelsMode; 400 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 401 402 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 403 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 404 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 405 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 406 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 407 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 408 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 409 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 410 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 411 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 412 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 413 414 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 415 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 416 417 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 418 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 419 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 420 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 421 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); 422 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); 423 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); 424 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); 425 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 426 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 427 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 428 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 429 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 430 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 431 432 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 433 434 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 435 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 436 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 437 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 438 439 static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) 440 { 441 switch (ct) { 442 case DM_POLYTOPE_POINT_PRISM_TENSOR: 443 case DM_POLYTOPE_SEG_PRISM_TENSOR: 444 case DM_POLYTOPE_TRI_PRISM_TENSOR: 445 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 446 return PETSC_TRUE; 447 default: 448 return PETSC_FALSE; 449 } 450 } 451 452 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 453 { 454 switch (ct) { 455 case DM_POLYTOPE_POINT: 456 return 0; 457 case DM_POLYTOPE_SEGMENT: 458 case DM_POLYTOPE_POINT_PRISM_TENSOR: 459 return 1; 460 case DM_POLYTOPE_TRIANGLE: 461 case DM_POLYTOPE_QUADRILATERAL: 462 case DM_POLYTOPE_SEG_PRISM_TENSOR: 463 case DM_POLYTOPE_UNKNOWN_FACE: 464 return 2; 465 case DM_POLYTOPE_TETRAHEDRON: 466 case DM_POLYTOPE_HEXAHEDRON: 467 case DM_POLYTOPE_TRI_PRISM: 468 case DM_POLYTOPE_TRI_PRISM_TENSOR: 469 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 470 case DM_POLYTOPE_PYRAMID: 471 case DM_POLYTOPE_UNKNOWN_CELL: 472 return 3; 473 default: 474 return -1; 475 } 476 } 477 478 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 479 { 480 switch (ct) { 481 case DM_POLYTOPE_POINT: 482 return 0; 483 case DM_POLYTOPE_SEGMENT: 484 return 2; 485 case DM_POLYTOPE_POINT_PRISM_TENSOR: 486 return 2; 487 case DM_POLYTOPE_TRIANGLE: 488 return 3; 489 case DM_POLYTOPE_QUADRILATERAL: 490 return 4; 491 case DM_POLYTOPE_SEG_PRISM_TENSOR: 492 return 4; 493 case DM_POLYTOPE_TETRAHEDRON: 494 return 4; 495 case DM_POLYTOPE_HEXAHEDRON: 496 return 6; 497 case DM_POLYTOPE_TRI_PRISM: 498 return 5; 499 case DM_POLYTOPE_TRI_PRISM_TENSOR: 500 return 5; 501 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 502 return 6; 503 case DM_POLYTOPE_PYRAMID: 504 return 5; 505 default: 506 return -1; 507 } 508 } 509 510 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 511 { 512 switch (ct) { 513 case DM_POLYTOPE_POINT: 514 return 1; 515 case DM_POLYTOPE_SEGMENT: 516 return 2; 517 case DM_POLYTOPE_POINT_PRISM_TENSOR: 518 return 2; 519 case DM_POLYTOPE_TRIANGLE: 520 return 3; 521 case DM_POLYTOPE_QUADRILATERAL: 522 return 4; 523 case DM_POLYTOPE_SEG_PRISM_TENSOR: 524 return 4; 525 case DM_POLYTOPE_TETRAHEDRON: 526 return 4; 527 case DM_POLYTOPE_HEXAHEDRON: 528 return 8; 529 case DM_POLYTOPE_TRI_PRISM: 530 return 6; 531 case DM_POLYTOPE_TRI_PRISM_TENSOR: 532 return 6; 533 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 534 return 8; 535 case DM_POLYTOPE_PYRAMID: 536 return 5; 537 default: 538 return -1; 539 } 540 } 541 542 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 543 { 544 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))); 545 } 546 547 static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) 548 { 549 switch (ct) { 550 case DM_POLYTOPE_POINT: 551 return 1; 552 case DM_POLYTOPE_SEGMENT: 553 return 2; 554 case DM_POLYTOPE_POINT_PRISM_TENSOR: 555 return 2; 556 case DM_POLYTOPE_TRIANGLE: 557 return 6; 558 case DM_POLYTOPE_QUADRILATERAL: 559 return 8; 560 case DM_POLYTOPE_SEG_PRISM_TENSOR: 561 return 4; 562 case DM_POLYTOPE_TETRAHEDRON: 563 return 24; 564 case DM_POLYTOPE_HEXAHEDRON: 565 return 48; 566 case DM_POLYTOPE_TRI_PRISM: 567 return 12; 568 case DM_POLYTOPE_TRI_PRISM_TENSOR: 569 return 12; 570 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 571 return 16; 572 case DM_POLYTOPE_PYRAMID: 573 return 8; 574 default: 575 return -1; 576 } 577 } 578 579 /* An arrangement is a face order combined with an orientation for each face */ 580 static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) 581 { 582 static const PetscInt pntArr[1 * 2] = {0, 0}; 583 /* a: swap */ 584 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 585 0, 0, 1, 0, 586 /* 0: e */}; 587 /* a: swap first two 588 b: swap last two */ 589 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 590 2, -1, 1, -1, 0, -1, /* -2: aba */ 591 1, -1, 0, -1, 2, -1, /* -1: a */ 592 0, 0, 1, 0, 2, 0, /* 0: identity */ 593 1, 0, 2, 0, 0, 0, /* 1: ba */ 594 2, 0, 0, 0, 1, 0, 595 /* 2: ab */}; 596 /* a: forward cyclic permutation 597 b: swap first and last pairs */ 598 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 599 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 600 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 601 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 602 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 603 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 604 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 605 3, 0, 0, 0, 1, 0, 2, 0, 606 /* 3: a^3 */}; 607 /* r: rotate 180 608 b: swap top and bottom segments */ 609 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 610 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 611 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 612 1, 0, 0, 0, 2, -1, 3, -1, 613 /* 1: b */}; 614 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 615 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 616 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 617 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 618 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 619 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 620 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 621 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 622 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 623 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 624 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 625 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 626 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 627 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 628 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 629 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 630 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 631 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 632 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 633 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 634 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 635 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 636 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 637 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 638 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 639 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 640 static const PetscInt hexArr[48 * 6 * 2] = { 641 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 642 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 643 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 644 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 645 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 646 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 647 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 648 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 649 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 650 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 651 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 652 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 653 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 654 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 655 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 656 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 657 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 658 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 659 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 660 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 661 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 662 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 663 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 664 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 665 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 666 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 667 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 668 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 669 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 670 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 671 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 672 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 673 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 674 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 675 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 676 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 677 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 678 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 679 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 680 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 681 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 682 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 683 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 684 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 685 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 686 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 687 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 688 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 689 }; 690 static const PetscInt tripArr[12 * 5 * 2] = { 691 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 692 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 693 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 694 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 695 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 696 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 697 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 698 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 699 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 700 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 701 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 702 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 703 }; 704 /* a: rotate 120 about z 705 b: swap top and bottom segments 706 r: reflect */ 707 static const PetscInt ttriArr[12 * 5 * 2] = { 708 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 709 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 710 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 711 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 712 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 713 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 714 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 715 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 716 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 717 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 718 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 719 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 720 }; 721 /* a: rotate 90 about z 722 b: swap top and bottom segments 723 r: reflect */ 724 static const PetscInt tquadArr[16 * 6 * 2] = { 725 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 726 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 727 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 728 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 729 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 730 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 731 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 732 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 733 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 734 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 735 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 736 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 737 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 738 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 739 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 740 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 741 }; 742 static const PetscInt pyrArr[8 * 5 * 2] = { 743 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 744 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 745 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 746 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 747 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 748 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 749 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 750 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 751 }; 752 switch (ct) { 753 case DM_POLYTOPE_POINT: 754 return pntArr; 755 case DM_POLYTOPE_SEGMENT: 756 return &segArr[(o + 1) * 2 * 2]; 757 case DM_POLYTOPE_POINT_PRISM_TENSOR: 758 return &segArr[(o + 1) * 2 * 2]; 759 case DM_POLYTOPE_TRIANGLE: 760 return &triArr[(o + 3) * 3 * 2]; 761 case DM_POLYTOPE_QUADRILATERAL: 762 return &quadArr[(o + 4) * 4 * 2]; 763 case DM_POLYTOPE_SEG_PRISM_TENSOR: 764 return &tsegArr[(o + 2) * 4 * 2]; 765 case DM_POLYTOPE_TETRAHEDRON: 766 return &tetArr[(o + 12) * 4 * 2]; 767 case DM_POLYTOPE_HEXAHEDRON: 768 return &hexArr[(o + 24) * 6 * 2]; 769 case DM_POLYTOPE_TRI_PRISM: 770 return &tripArr[(o + 6) * 5 * 2]; 771 case DM_POLYTOPE_TRI_PRISM_TENSOR: 772 return &ttriArr[(o + 6) * 5 * 2]; 773 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 774 return &tquadArr[(o + 8) * 6 * 2]; 775 case DM_POLYTOPE_PYRAMID: 776 return &pyrArr[(o + 4) * 5 * 2]; 777 default: 778 return PETSC_NULLPTR; 779 } 780 } 781 782 /* A vertex arrangement is a vertex order */ 783 static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) 784 { 785 static const PetscInt pntVerts[1] = {0}; 786 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 787 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 788 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}; 789 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 790 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 791 3, 1, 2, 0, /* -11: (14) p21 */ 792 1, 2, 3, 0, /* -10: (1234) p18 */ 793 3, 2, 0, 1, /* -9: (1423) p17 */ 794 2, 0, 3, 1, /* -8: (1342) p13 */ 795 0, 3, 2, 1, /* -7: (24) p14 */ 796 0, 1, 3, 2, /* -6: (34) p6 */ 797 1, 3, 0, 2, /* -5: (1243) p10 */ 798 3, 0, 1, 2, /* -4: (1432 p9 */ 799 1, 0, 2, 3, /* -3: (12) p1 */ 800 0, 2, 1, 3, /* -2: (23) p2 */ 801 2, 1, 0, 3, /* -1: (13) p5 */ 802 0, 1, 2, 3, /* 0: () p0 */ 803 1, 2, 0, 3, /* 1: (123) p4 */ 804 2, 0, 1, 3, /* 2: (132) p3 */ 805 1, 0, 3, 2, /* 3: (12)(34) p7 */ 806 0, 3, 1, 2, /* 4: (243) p8 */ 807 3, 1, 0, 2, /* 5: (143) p11 */ 808 2, 3, 0, 1, /* 6: (13)(24) p16 */ 809 3, 0, 2, 1, /* 7: (142) p15 */ 810 0, 2, 3, 1, /* 8: (234) p12 */ 811 3, 2, 1, 0, /* 9: (14)(23) p23 */ 812 2, 1, 3, 0, /* 10: (134) p19 */ 813 1, 3, 2, 0 /* 11: (124) p20 */}; 814 static const PetscInt hexVerts[48 * 8] = { 815 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 816 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 817 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 818 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 819 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 820 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 821 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 822 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 823 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 824 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 825 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 826 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 827 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 828 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 829 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 830 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 831 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 832 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 833 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 834 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 835 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 836 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 837 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 838 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 839 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 840 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 841 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 842 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 843 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 844 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 845 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 846 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 847 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 848 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 849 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 850 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 851 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 852 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 853 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 854 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 855 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 856 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 857 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 858 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 859 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 860 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 861 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 862 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 863 }; 864 static const PetscInt tripVerts[12 * 6] = { 865 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 866 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 867 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 868 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 869 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 870 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 871 0, 1, 2, 3, 4, 5, /* 0: identity */ 872 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 873 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 874 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 875 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 876 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 877 }; 878 static const PetscInt ttriVerts[12 * 6] = { 879 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 880 3, 5, 4, 0, 2, 1, /* -5: r b a */ 881 5, 4, 3, 2, 1, 0, /* -4: r b */ 882 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 883 0, 2, 1, 3, 5, 4, /* -2: r a */ 884 2, 1, 0, 5, 4, 3, /* -1: r */ 885 0, 1, 2, 3, 4, 5, /* 0: identity */ 886 1, 2, 0, 4, 5, 3, /* 1: a */ 887 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 888 3, 4, 5, 0, 1, 2, /* 3: b */ 889 4, 5, 3, 1, 2, 0, /* 4: b a */ 890 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 891 }; 892 /* a: rotate 90 about z 893 b: swap top and bottom segments 894 r: reflect */ 895 static const PetscInt tquadVerts[16 * 8] = { 896 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 897 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 898 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 899 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 900 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 901 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 902 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 903 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 904 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 905 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 906 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 907 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 908 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 909 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 910 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 911 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 912 }; 913 static const PetscInt pyrVerts[8 * 5] = { 914 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 915 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 916 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 917 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 918 0, 1, 2, 3, 4, /* 0: identity */ 919 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 920 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 921 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 922 }; 923 switch (ct) { 924 case DM_POLYTOPE_POINT: 925 return pntVerts; 926 case DM_POLYTOPE_SEGMENT: 927 return &segVerts[(o + 1) * 2]; 928 case DM_POLYTOPE_POINT_PRISM_TENSOR: 929 return &segVerts[(o + 1) * 2]; 930 case DM_POLYTOPE_TRIANGLE: 931 return &triVerts[(o + 3) * 3]; 932 case DM_POLYTOPE_QUADRILATERAL: 933 return &quadVerts[(o + 4) * 4]; 934 case DM_POLYTOPE_SEG_PRISM_TENSOR: 935 return &tsegVerts[(o + 2) * 4]; 936 case DM_POLYTOPE_TETRAHEDRON: 937 return &tetVerts[(o + 12) * 4]; 938 case DM_POLYTOPE_HEXAHEDRON: 939 return &hexVerts[(o + 24) * 8]; 940 case DM_POLYTOPE_TRI_PRISM: 941 return &tripVerts[(o + 6) * 6]; 942 case DM_POLYTOPE_TRI_PRISM_TENSOR: 943 return &ttriVerts[(o + 6) * 6]; 944 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 945 return &tquadVerts[(o + 8) * 8]; 946 case DM_POLYTOPE_PYRAMID: 947 return &pyrVerts[(o + 4) * 5]; 948 default: 949 return PETSC_NULLPTR; 950 } 951 } 952 953 /* This is orientation o1 acting on orientation o2 */ 954 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 955 { 956 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 957 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}; 958 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, 959 -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}; 960 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 961 static const PetscInt tetMult[24 * 24] = { 962 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, 963 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, 964 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, 965 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, 966 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, 967 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, 968 -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, 969 -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, 970 -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, 971 -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, 972 -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, 973 -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, 974 }; 975 static const PetscInt hexMult[48 * 48] = { 976 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, 977 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, 978 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, 979 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, 980 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, 981 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, 982 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, 983 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, 984 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, 985 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, 986 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, 987 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, 988 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, 989 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, 990 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, 991 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, 992 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, 993 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, 994 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, 995 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, 996 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, 997 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, 998 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, 999 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, 1000 -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, 1001 -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, 1002 -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, 1003 -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, 1004 -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, 1005 -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, 1006 -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, 1007 -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, 1008 -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, 1009 -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, 1010 -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, 1011 -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, 1012 -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, 1013 -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, 1014 -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, 1015 -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, 1016 -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, 1017 -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, 1018 -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, 1019 -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, 1020 -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, 1021 -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, 1022 -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, 1023 -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, 1024 }; 1025 static const PetscInt tripMult[12 * 12] = { 1026 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, 1027 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, 1028 -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, 1029 }; 1030 static const PetscInt ttriMult[12 * 12] = { 1031 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, 1032 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, 1033 -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, 1034 }; 1035 static const PetscInt tquadMult[16 * 16] = { 1036 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, 1037 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, 1038 -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, 1039 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, 1040 -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, 1041 }; 1042 static const PetscInt pyrMult[8 * 8] = { 1043 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, 1044 }; 1045 switch (ct) { 1046 case DM_POLYTOPE_POINT: 1047 return 0; 1048 case DM_POLYTOPE_SEGMENT: 1049 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1050 return segMult[(o1 + 1) * 2 + o2 + 1]; 1051 case DM_POLYTOPE_TRIANGLE: 1052 return triMult[(o1 + 3) * 6 + o2 + 3]; 1053 case DM_POLYTOPE_QUADRILATERAL: 1054 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1055 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1056 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1057 case DM_POLYTOPE_TETRAHEDRON: 1058 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1059 case DM_POLYTOPE_HEXAHEDRON: 1060 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1061 case DM_POLYTOPE_TRI_PRISM: 1062 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1063 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1064 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1065 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1066 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1067 case DM_POLYTOPE_PYRAMID: 1068 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1069 default: 1070 return 0; 1071 } 1072 } 1073 1074 /* This is orientation o1 acting on orientation o2^{-1} */ 1075 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1076 { 1077 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1078 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1079 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}; 1080 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}; 1081 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1082 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1083 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1084 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1085 switch (ct) { 1086 case DM_POLYTOPE_POINT: 1087 return 0; 1088 case DM_POLYTOPE_SEGMENT: 1089 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1090 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1091 case DM_POLYTOPE_TRIANGLE: 1092 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1093 case DM_POLYTOPE_QUADRILATERAL: 1094 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1095 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1096 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1097 case DM_POLYTOPE_TETRAHEDRON: 1098 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1099 case DM_POLYTOPE_HEXAHEDRON: 1100 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1101 case DM_POLYTOPE_TRI_PRISM: 1102 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1103 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1104 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1105 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1106 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1107 case DM_POLYTOPE_PYRAMID: 1108 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1109 default: 1110 return 0; 1111 } 1112 } 1113 1114 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1115 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1116 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1117 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1118 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1119