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 PetscFunctionList DMGeomModelList; 50 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *); 51 PETSC_EXTERN PetscErrorCode DMClone(DM, DM *); 52 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 53 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 54 PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM)); 55 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 56 57 PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer); 58 PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer); 59 PETSC_EXTERN PetscErrorCode DMDestroy(DM *); 60 PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *); 61 PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *); 62 PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *); 63 PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *); 64 PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *); 65 PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *); 66 PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); 67 PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); 68 PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM); 69 PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM); 70 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *); 71 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *); 72 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *); 73 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *); 74 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *); 75 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *); 76 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *); 77 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **); 78 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *); 79 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *); 80 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *); 81 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool); 82 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool); 83 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool); 84 PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType); 85 PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); 86 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); 87 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); 88 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); 89 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); 90 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *); 91 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); 92 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); 93 PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); 94 PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); 95 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); 96 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); 97 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); 98 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); 99 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); 100 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); 101 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 102 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 103 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 104 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 105 PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); 106 PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); 107 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); 108 PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); 109 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 110 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); 111 112 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); 113 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); 114 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 115 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 116 PETSC_EXTERN PetscErrorCode DMGeomModelRegister(const char[], PetscErrorCode (*)(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[])); 117 PETSC_EXTERN PetscErrorCode DMGeomModelRegisterAll(void); 118 PETSC_EXTERN PetscErrorCode DMGeomModelRegisterDestroy(void); 119 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); 120 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 121 122 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 123 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); 124 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *); 125 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 126 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 127 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); 128 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); 129 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); 130 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); 131 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); 132 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); 133 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); 134 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); 135 PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); 136 137 /* Topology support */ 138 PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); 139 PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); 140 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); 141 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); 142 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); 143 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **); 144 145 /* Coordinate support */ 146 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); 147 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); 148 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); 149 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); 150 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); 151 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); 152 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); 153 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); 154 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); 155 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); 156 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); 157 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); 158 PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); 159 PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); 160 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 161 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); 162 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); 163 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); 164 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); 165 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); 166 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); 167 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); 168 PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); 169 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); 170 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); 171 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); 172 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); 173 PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool); 174 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); 175 PETSC_EXTERN PetscErrorCode DMSnapToGeomModel(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]); 176 PETSC_EXTERN PetscErrorCode DMSetSnapToGeomModel(DM, const char[]); 177 178 /* Periodicity support */ 179 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 180 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); 181 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 182 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 183 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); 184 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); 185 PETSC_EXTERN PetscErrorCode DMGetSparseLocalize(DM, PetscBool *); 186 PETSC_EXTERN PetscErrorCode DMSetSparseLocalize(DM, PetscBool); 187 188 /* block hook interface */ 189 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 190 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 191 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); 192 193 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); 194 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); 195 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); 196 PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); 197 PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); 198 PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); 199 PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); 200 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); 201 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); 202 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *); 203 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **)); 204 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *); 205 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); 206 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); 207 PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); 208 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); 209 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); 210 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); 211 212 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 213 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 214 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], IS *, DM *); 215 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *); 216 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); 217 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); 218 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **); 219 220 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); 221 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); 222 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); 223 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); 224 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 225 226 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); 227 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 228 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); 229 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 230 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); 231 232 typedef struct NLF_DAAD *NLF; 233 234 #define DM_FILE_CLASSID 1211221 235 236 /* FEM support */ 237 PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]); 238 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); 239 PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]); 240 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); 241 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); 242 243 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 244 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 245 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 246 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 247 248 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 249 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 250 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 251 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 252 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 253 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 254 PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *); 255 PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *); 256 PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag); 257 PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *); 258 PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType); 259 PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool); 260 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 261 { 262 return DMGetSection(dm, s); 263 } 264 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 265 { 266 return DMSetSection(dm, s); 267 } 268 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 269 { 270 return DMGetGlobalSection(dm, s); 271 } 272 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 273 { 274 return DMSetGlobalSection(dm, s); 275 } 276 277 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 278 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 279 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 280 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 281 { 282 return DMGetSectionSF(dm, s); 283 } 284 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 285 { 286 return DMSetSectionSF(dm, s); 287 } 288 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 289 { 290 return DMCreateSectionSF(dm, l, g); 291 } 292 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 293 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 294 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 295 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 296 297 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 298 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 299 300 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 301 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 302 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 303 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *); 304 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *); 305 306 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 307 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 308 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 309 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 310 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 311 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 312 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 313 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 314 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 315 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 316 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 317 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 318 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 319 320 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 321 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 322 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 323 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 324 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 325 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 326 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 327 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 328 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 329 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 330 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 331 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 332 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 333 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 334 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 335 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 336 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 337 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 338 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 339 PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM); 340 341 /*MC 342 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 343 344 Synopsis: 345 comm - The communicator 346 dim - The spatial dimension of points 347 nInput - The number of input points 348 points - The input point coordinates 349 cells - The cell containing each point 350 n - The number of local points 351 coords - The point coordinates 352 dof - The number of components to interpolate 353 354 Level: intermediate 355 356 .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 357 M*/ 358 struct _DMInterpolationInfo { 359 MPI_Comm comm; 360 PetscInt dim; /*1 The spatial dimension of points */ 361 PetscInt nInput; /* The number of input points */ 362 PetscReal *points; /* The input point coordinates */ 363 PetscInt *cells; /* The cell containing each point */ 364 PetscInt n; /* The number of local points */ 365 Vec coords; /* The point coordinates */ 366 PetscInt dof; /* The number of components to interpolate */ 367 }; 368 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 369 370 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 371 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 372 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 373 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 374 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 375 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 376 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 377 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 378 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 379 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 380 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 381 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 382 383 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 384 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 385 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 386 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 387 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 388 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 389 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 390 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 391 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 392 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 393 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 394 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 395 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 396 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 397 398 /*E 399 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name 400 401 Values: 402 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 403 . `DM_COPY_LABELS_KEEP` - keep destination label 404 - `DM_COPY_LABELS_FAIL` - generate an error 405 406 Level: advanced 407 408 .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 409 E*/ 410 typedef enum { 411 DM_COPY_LABELS_REPLACE, 412 DM_COPY_LABELS_KEEP, 413 DM_COPY_LABELS_FAIL 414 } DMCopyLabelsMode; 415 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 416 417 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 418 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 419 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 420 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 421 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 422 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 423 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 424 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 425 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 426 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 427 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 428 429 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 430 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 431 432 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 433 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 434 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 435 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 436 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); 437 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); 438 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); 439 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); 440 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 441 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 442 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 443 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 444 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 445 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 446 447 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 448 449 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 450 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 451 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 452 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 453 454 static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) 455 { 456 switch (ct) { 457 case DM_POLYTOPE_POINT_PRISM_TENSOR: 458 case DM_POLYTOPE_SEG_PRISM_TENSOR: 459 case DM_POLYTOPE_TRI_PRISM_TENSOR: 460 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 461 return PETSC_TRUE; 462 default: 463 return PETSC_FALSE; 464 } 465 } 466 467 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 468 { 469 switch (ct) { 470 case DM_POLYTOPE_POINT: 471 return 0; 472 case DM_POLYTOPE_SEGMENT: 473 case DM_POLYTOPE_POINT_PRISM_TENSOR: 474 return 1; 475 case DM_POLYTOPE_TRIANGLE: 476 case DM_POLYTOPE_QUADRILATERAL: 477 case DM_POLYTOPE_SEG_PRISM_TENSOR: 478 case DM_POLYTOPE_UNKNOWN_FACE: 479 return 2; 480 case DM_POLYTOPE_TETRAHEDRON: 481 case DM_POLYTOPE_HEXAHEDRON: 482 case DM_POLYTOPE_TRI_PRISM: 483 case DM_POLYTOPE_TRI_PRISM_TENSOR: 484 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 485 case DM_POLYTOPE_PYRAMID: 486 case DM_POLYTOPE_UNKNOWN_CELL: 487 return 3; 488 default: 489 return -1; 490 } 491 } 492 493 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 494 { 495 switch (ct) { 496 case DM_POLYTOPE_POINT: 497 return 0; 498 case DM_POLYTOPE_SEGMENT: 499 return 2; 500 case DM_POLYTOPE_POINT_PRISM_TENSOR: 501 return 2; 502 case DM_POLYTOPE_TRIANGLE: 503 return 3; 504 case DM_POLYTOPE_QUADRILATERAL: 505 return 4; 506 case DM_POLYTOPE_SEG_PRISM_TENSOR: 507 return 4; 508 case DM_POLYTOPE_TETRAHEDRON: 509 return 4; 510 case DM_POLYTOPE_HEXAHEDRON: 511 return 6; 512 case DM_POLYTOPE_TRI_PRISM: 513 return 5; 514 case DM_POLYTOPE_TRI_PRISM_TENSOR: 515 return 5; 516 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 517 return 6; 518 case DM_POLYTOPE_PYRAMID: 519 return 5; 520 default: 521 return -1; 522 } 523 } 524 525 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 526 { 527 switch (ct) { 528 case DM_POLYTOPE_POINT: 529 return 1; 530 case DM_POLYTOPE_SEGMENT: 531 return 2; 532 case DM_POLYTOPE_POINT_PRISM_TENSOR: 533 return 2; 534 case DM_POLYTOPE_TRIANGLE: 535 return 3; 536 case DM_POLYTOPE_QUADRILATERAL: 537 return 4; 538 case DM_POLYTOPE_SEG_PRISM_TENSOR: 539 return 4; 540 case DM_POLYTOPE_TETRAHEDRON: 541 return 4; 542 case DM_POLYTOPE_HEXAHEDRON: 543 return 8; 544 case DM_POLYTOPE_TRI_PRISM: 545 return 6; 546 case DM_POLYTOPE_TRI_PRISM_TENSOR: 547 return 6; 548 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 549 return 8; 550 case DM_POLYTOPE_PYRAMID: 551 return 5; 552 default: 553 return -1; 554 } 555 } 556 557 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 558 { 559 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))); 560 } 561 562 static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) 563 { 564 switch (ct) { 565 case DM_POLYTOPE_POINT: 566 return 1; 567 case DM_POLYTOPE_SEGMENT: 568 return 2; 569 case DM_POLYTOPE_POINT_PRISM_TENSOR: 570 return 2; 571 case DM_POLYTOPE_TRIANGLE: 572 return 6; 573 case DM_POLYTOPE_QUADRILATERAL: 574 return 8; 575 case DM_POLYTOPE_SEG_PRISM_TENSOR: 576 return 4; 577 case DM_POLYTOPE_TETRAHEDRON: 578 return 24; 579 case DM_POLYTOPE_HEXAHEDRON: 580 return 48; 581 case DM_POLYTOPE_TRI_PRISM: 582 return 12; 583 case DM_POLYTOPE_TRI_PRISM_TENSOR: 584 return 12; 585 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 586 return 16; 587 case DM_POLYTOPE_PYRAMID: 588 return 8; 589 default: 590 return -1; 591 } 592 } 593 594 /* An arrangement is a face order combined with an orientation for each face */ 595 static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) 596 { 597 static const PetscInt pntArr[1 * 2] = {0, 0}; 598 /* a: swap */ 599 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 600 0, 0, 1, 0, 601 /* 0: e */}; 602 /* a: swap first two 603 b: swap last two */ 604 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 605 2, -1, 1, -1, 0, -1, /* -2: aba */ 606 1, -1, 0, -1, 2, -1, /* -1: a */ 607 0, 0, 1, 0, 2, 0, /* 0: identity */ 608 1, 0, 2, 0, 0, 0, /* 1: ba */ 609 2, 0, 0, 0, 1, 0, 610 /* 2: ab */}; 611 /* a: forward cyclic permutation 612 b: swap first and last pairs */ 613 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 614 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 615 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 616 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 617 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 618 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 619 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 620 3, 0, 0, 0, 1, 0, 2, 0, 621 /* 3: a^3 */}; 622 /* r: rotate 180 623 b: swap top and bottom segments */ 624 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 625 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 626 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 627 1, 0, 0, 0, 2, -1, 3, -1, 628 /* 1: b */}; 629 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 630 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 631 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 632 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 633 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 634 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 635 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 636 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 637 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 638 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 639 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 640 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 641 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 642 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 643 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 644 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 645 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 646 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 647 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 648 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 649 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 650 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 651 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 652 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 653 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 654 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 655 static const PetscInt hexArr[48 * 6 * 2] = { 656 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 657 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 658 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 659 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 660 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 661 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 662 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 663 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 664 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 665 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 666 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 667 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 668 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 669 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 670 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 671 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 672 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 673 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 674 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 675 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 676 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 677 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 678 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 679 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 680 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 681 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 682 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 683 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 684 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 685 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 686 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 687 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 688 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 689 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 690 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 691 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 692 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 693 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 694 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 695 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 696 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 697 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 698 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 699 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 700 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 701 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 702 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 703 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 704 }; 705 static const PetscInt tripArr[12 * 5 * 2] = { 706 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 707 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 708 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 709 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 710 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 711 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 712 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 713 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 714 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 715 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 716 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 717 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 718 }; 719 /* a: rotate 120 about z 720 b: swap top and bottom segments 721 r: reflect */ 722 static const PetscInt ttriArr[12 * 5 * 2] = { 723 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 724 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 725 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 726 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 727 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 728 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 729 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 730 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 731 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 732 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 733 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 734 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 735 }; 736 /* a: rotate 90 about z 737 b: swap top and bottom segments 738 r: reflect */ 739 static const PetscInt tquadArr[16 * 6 * 2] = { 740 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 741 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 742 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 743 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 744 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 745 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 746 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 747 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 748 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 749 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 750 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 751 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 752 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 753 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 754 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 755 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 756 }; 757 static const PetscInt pyrArr[8 * 5 * 2] = { 758 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 759 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 760 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 761 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 762 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 763 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 764 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 765 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 766 }; 767 switch (ct) { 768 case DM_POLYTOPE_POINT: 769 return pntArr; 770 case DM_POLYTOPE_SEGMENT: 771 return &segArr[(o + 1) * 2 * 2]; 772 case DM_POLYTOPE_POINT_PRISM_TENSOR: 773 return &segArr[(o + 1) * 2 * 2]; 774 case DM_POLYTOPE_TRIANGLE: 775 return &triArr[(o + 3) * 3 * 2]; 776 case DM_POLYTOPE_QUADRILATERAL: 777 return &quadArr[(o + 4) * 4 * 2]; 778 case DM_POLYTOPE_SEG_PRISM_TENSOR: 779 return &tsegArr[(o + 2) * 4 * 2]; 780 case DM_POLYTOPE_TETRAHEDRON: 781 return &tetArr[(o + 12) * 4 * 2]; 782 case DM_POLYTOPE_HEXAHEDRON: 783 return &hexArr[(o + 24) * 6 * 2]; 784 case DM_POLYTOPE_TRI_PRISM: 785 return &tripArr[(o + 6) * 5 * 2]; 786 case DM_POLYTOPE_TRI_PRISM_TENSOR: 787 return &ttriArr[(o + 6) * 5 * 2]; 788 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 789 return &tquadArr[(o + 8) * 6 * 2]; 790 case DM_POLYTOPE_PYRAMID: 791 return &pyrArr[(o + 4) * 5 * 2]; 792 default: 793 return PETSC_NULLPTR; 794 } 795 } 796 797 /* A vertex arrangement is a vertex order */ 798 static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) 799 { 800 static const PetscInt pntVerts[1] = {0}; 801 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 802 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 803 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}; 804 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 805 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 806 3, 1, 2, 0, /* -11: (14) p21 */ 807 1, 2, 3, 0, /* -10: (1234) p18 */ 808 3, 2, 0, 1, /* -9: (1423) p17 */ 809 2, 0, 3, 1, /* -8: (1342) p13 */ 810 0, 3, 2, 1, /* -7: (24) p14 */ 811 0, 1, 3, 2, /* -6: (34) p6 */ 812 1, 3, 0, 2, /* -5: (1243) p10 */ 813 3, 0, 1, 2, /* -4: (1432 p9 */ 814 1, 0, 2, 3, /* -3: (12) p1 */ 815 0, 2, 1, 3, /* -2: (23) p2 */ 816 2, 1, 0, 3, /* -1: (13) p5 */ 817 0, 1, 2, 3, /* 0: () p0 */ 818 1, 2, 0, 3, /* 1: (123) p4 */ 819 2, 0, 1, 3, /* 2: (132) p3 */ 820 1, 0, 3, 2, /* 3: (12)(34) p7 */ 821 0, 3, 1, 2, /* 4: (243) p8 */ 822 3, 1, 0, 2, /* 5: (143) p11 */ 823 2, 3, 0, 1, /* 6: (13)(24) p16 */ 824 3, 0, 2, 1, /* 7: (142) p15 */ 825 0, 2, 3, 1, /* 8: (234) p12 */ 826 3, 2, 1, 0, /* 9: (14)(23) p23 */ 827 2, 1, 3, 0, /* 10: (134) p19 */ 828 1, 3, 2, 0 /* 11: (124) p20 */}; 829 static const PetscInt hexVerts[48 * 8] = { 830 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 831 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 832 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 833 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 834 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 835 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 836 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 837 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 838 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 839 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 840 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 841 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 842 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 843 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 844 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 845 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 846 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 847 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 848 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 849 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 850 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 851 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 852 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 853 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 854 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 855 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 856 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 857 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 858 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 859 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 860 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 861 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 862 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 863 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 864 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 865 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 866 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 867 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 868 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 869 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 870 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 871 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 872 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 873 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 874 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 875 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 876 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 877 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 878 }; 879 static const PetscInt tripVerts[12 * 6] = { 880 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 881 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 882 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 883 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 884 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 885 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 886 0, 1, 2, 3, 4, 5, /* 0: identity */ 887 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 888 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 889 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 890 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 891 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 892 }; 893 static const PetscInt ttriVerts[12 * 6] = { 894 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 895 3, 5, 4, 0, 2, 1, /* -5: r b a */ 896 5, 4, 3, 2, 1, 0, /* -4: r b */ 897 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 898 0, 2, 1, 3, 5, 4, /* -2: r a */ 899 2, 1, 0, 5, 4, 3, /* -1: r */ 900 0, 1, 2, 3, 4, 5, /* 0: identity */ 901 1, 2, 0, 4, 5, 3, /* 1: a */ 902 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 903 3, 4, 5, 0, 1, 2, /* 3: b */ 904 4, 5, 3, 1, 2, 0, /* 4: b a */ 905 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 906 }; 907 /* a: rotate 90 about z 908 b: swap top and bottom segments 909 r: reflect */ 910 static const PetscInt tquadVerts[16 * 8] = { 911 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 912 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 913 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 914 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 915 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 916 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 917 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 918 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 919 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 920 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 921 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 922 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 923 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 924 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 925 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 926 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 927 }; 928 static const PetscInt pyrVerts[8 * 5] = { 929 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 930 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 931 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 932 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 933 0, 1, 2, 3, 4, /* 0: identity */ 934 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 935 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 936 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 937 }; 938 switch (ct) { 939 case DM_POLYTOPE_POINT: 940 return pntVerts; 941 case DM_POLYTOPE_SEGMENT: 942 return &segVerts[(o + 1) * 2]; 943 case DM_POLYTOPE_POINT_PRISM_TENSOR: 944 return &segVerts[(o + 1) * 2]; 945 case DM_POLYTOPE_TRIANGLE: 946 return &triVerts[(o + 3) * 3]; 947 case DM_POLYTOPE_QUADRILATERAL: 948 return &quadVerts[(o + 4) * 4]; 949 case DM_POLYTOPE_SEG_PRISM_TENSOR: 950 return &tsegVerts[(o + 2) * 4]; 951 case DM_POLYTOPE_TETRAHEDRON: 952 return &tetVerts[(o + 12) * 4]; 953 case DM_POLYTOPE_HEXAHEDRON: 954 return &hexVerts[(o + 24) * 8]; 955 case DM_POLYTOPE_TRI_PRISM: 956 return &tripVerts[(o + 6) * 6]; 957 case DM_POLYTOPE_TRI_PRISM_TENSOR: 958 return &ttriVerts[(o + 6) * 6]; 959 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 960 return &tquadVerts[(o + 8) * 8]; 961 case DM_POLYTOPE_PYRAMID: 962 return &pyrVerts[(o + 4) * 5]; 963 default: 964 return PETSC_NULLPTR; 965 } 966 } 967 968 /* This is orientation o1 acting on orientation o2 */ 969 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 970 { 971 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 972 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}; 973 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, 974 -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}; 975 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 976 static const PetscInt tetMult[24 * 24] = { 977 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, 978 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, 979 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, 980 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, 981 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, 982 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, 983 -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, 984 -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, 985 -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, 986 -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, 987 -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, 988 -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, 989 }; 990 static const PetscInt hexMult[48 * 48] = { 991 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, 992 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, 993 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, 994 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, 995 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, 996 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, 997 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, 998 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, 999 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, 1000 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, 1001 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, 1002 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, 1003 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, 1004 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, 1005 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, 1006 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, 1007 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, 1008 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, 1009 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, 1010 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, 1011 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, 1012 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, 1013 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, 1014 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, 1015 -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, 1016 -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, 1017 -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, 1018 -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, 1019 -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, 1020 -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, 1021 -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, 1022 -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, 1023 -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, 1024 -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, 1025 -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, 1026 -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, 1027 -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, 1028 -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, 1029 -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, 1030 -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, 1031 -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, 1032 -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, 1033 -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, 1034 -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, 1035 -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, 1036 -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, 1037 -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, 1038 -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, 1039 }; 1040 static const PetscInt tripMult[12 * 12] = { 1041 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, 1042 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, 1043 -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, 1044 }; 1045 static const PetscInt ttriMult[12 * 12] = { 1046 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, 1047 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, 1048 -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, 1049 }; 1050 static const PetscInt tquadMult[16 * 16] = { 1051 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, 1052 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, 1053 -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, 1054 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, 1055 -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, 1056 }; 1057 static const PetscInt pyrMult[8 * 8] = { 1058 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, 1059 }; 1060 switch (ct) { 1061 case DM_POLYTOPE_POINT: 1062 return 0; 1063 case DM_POLYTOPE_SEGMENT: 1064 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1065 return segMult[(o1 + 1) * 2 + o2 + 1]; 1066 case DM_POLYTOPE_TRIANGLE: 1067 return triMult[(o1 + 3) * 6 + o2 + 3]; 1068 case DM_POLYTOPE_QUADRILATERAL: 1069 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1070 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1071 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1072 case DM_POLYTOPE_TETRAHEDRON: 1073 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1074 case DM_POLYTOPE_HEXAHEDRON: 1075 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1076 case DM_POLYTOPE_TRI_PRISM: 1077 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1078 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1079 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1080 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1081 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1082 case DM_POLYTOPE_PYRAMID: 1083 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1084 default: 1085 return 0; 1086 } 1087 } 1088 1089 /* This is orientation o1 acting on orientation o2^{-1} */ 1090 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1091 { 1092 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1093 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1094 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}; 1095 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}; 1096 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1097 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1098 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1099 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1100 switch (ct) { 1101 case DM_POLYTOPE_POINT: 1102 return 0; 1103 case DM_POLYTOPE_SEGMENT: 1104 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1105 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1106 case DM_POLYTOPE_TRIANGLE: 1107 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1108 case DM_POLYTOPE_QUADRILATERAL: 1109 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1110 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1111 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1112 case DM_POLYTOPE_TETRAHEDRON: 1113 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1114 case DM_POLYTOPE_HEXAHEDRON: 1115 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1116 case DM_POLYTOPE_TRI_PRISM: 1117 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1118 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1119 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1120 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1121 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1122 case DM_POLYTOPE_PYRAMID: 1123 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1124 default: 1125 return 0; 1126 } 1127 } 1128 1129 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1130 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1131 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1132 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1133 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1134