1 /* 2 Objects to manage the interactions between the mesh data structures and the algebraic objects 3 */ 4 #pragma once 5 #include "petscsystypes.h" 6 #include <petscmat.h> 7 #include <petscdmtypes.h> 8 #include <petscfetypes.h> 9 #include <petscdstypes.h> 10 #include <petscdmlabel.h> 11 #include <petscdt.h> 12 13 /* SUBMANSEC = DM */ 14 15 PETSC_EXTERN PetscErrorCode DMInitializePackage(void); 16 17 PETSC_EXTERN PetscClassId DM_CLASSID; 18 19 #define DMLOCATEPOINT_POINT_NOT_FOUND -367 20 21 /*J 22 DMType - String with the name of a PETSc `DM` 23 24 Level: beginner 25 26 .seealso: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `DM` 27 J*/ 28 typedef const char *DMType; 29 #define DMDA "da" 30 #define DMCOMPOSITE "composite" 31 #define DMSLICED "sliced" 32 #define DMSHELL "shell" 33 #define DMPLEX "plex" 34 #define DMREDUNDANT "redundant" 35 #define DMPATCH "patch" 36 #define DMMOAB "moab" 37 #define DMNETWORK "network" 38 #define DMFOREST "forest" 39 #define DMP4EST "p4est" 40 #define DMP8EST "p8est" 41 #define DMSWARM "swarm" 42 #define DMPRODUCT "product" 43 #define DMSTAG "stag" 44 45 PETSC_EXTERN const char *const DMBoundaryTypes[]; 46 PETSC_EXTERN const char *const DMBoundaryConditionTypes[]; 47 PETSC_EXTERN const char *const DMBlockingTypes[]; 48 PETSC_EXTERN PetscFunctionList DMList; 49 PETSC_EXTERN DMGeneratorFunctionList DMGenerateList; 50 PETSC_EXTERN PetscFunctionList DMGeomModelList; 51 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *); 52 PETSC_EXTERN PetscErrorCode DMClone(DM, DM *); 53 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 54 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 55 PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM)); 56 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 57 58 PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer); 59 PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer); 60 PETSC_EXTERN PetscErrorCode DMDestroy(DM *); 61 PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *); 62 PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *); 63 PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *); 64 PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *); 65 PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *); 66 PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *); 67 PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); 68 PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); 69 PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM); 70 PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM); 71 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *); 72 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *); 73 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *); 74 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *); 75 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *); 76 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *); 77 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *); 78 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **); 79 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *); 80 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *); 81 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *); 82 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool); 83 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool); 84 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool); 85 PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType); 86 PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *); 87 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *); 88 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *); 89 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *); 90 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *); 91 PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *, Vec *); 92 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *); 93 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *); 94 PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *); 95 PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *); 96 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *); 97 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM); 98 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *); 99 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM); 100 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]); 101 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]); 102 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 103 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *); 104 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 105 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *); 106 PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM); 107 PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM); 108 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec); 109 PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *); 110 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 111 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]); 112 113 PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *); 114 PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt); 115 PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void); 116 PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void); 117 PETSC_EXTERN PetscErrorCode DMGeomModelRegister(const char[], PetscErrorCode (*)(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[])); 118 PETSC_EXTERN PetscErrorCode DMGeomModelRegisterAll(void); 119 PETSC_EXTERN PetscErrorCode DMGeomModelRegisterDestroy(void); 120 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *); 121 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *); 122 123 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 124 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *); 125 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *); 126 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 127 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *); 128 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec); 129 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec); 130 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec); 131 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec); 132 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec); 133 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec); 134 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec); 135 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec); 136 PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *); 137 138 /* Topology support */ 139 PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *); 140 PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt); 141 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *); 142 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *); 143 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool); 144 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **); 145 146 /* Coordinate support */ 147 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *); 148 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM); 149 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *); 150 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM); 151 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *); 152 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt); 153 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *); 154 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection); 155 PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *); 156 PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection); 157 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *); 158 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec); 159 PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *); 160 PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec); 161 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 162 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *); 163 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *); 164 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *); 165 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec); 166 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM); 167 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *); 168 PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *); 169 PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec); 170 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *); 171 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField); 172 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]); 173 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]); 174 PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool); 175 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *); 176 PETSC_EXTERN PetscErrorCode DMSnapToGeomModel(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]); 177 PETSC_EXTERN PetscErrorCode DMSetSnapToGeomModel(DM, const char[]); 178 179 /* Periodicity support */ 180 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 181 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]); 182 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 183 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 184 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *); 185 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *); 186 PETSC_EXTERN PetscErrorCode DMGetSparseLocalize(DM, PetscBool *); 187 PETSC_EXTERN PetscErrorCode DMSetSparseLocalize(DM, PetscBool); 188 189 /* block hook interface */ 190 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 191 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *); 192 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM); 193 194 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]); 195 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]); 196 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]); 197 PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType); 198 PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *); 199 PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType); 200 PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *); 201 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType); 202 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *); 203 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *); 204 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscCtxDestroyFn *); 205 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *); 206 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec)); 207 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *); 208 PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *); 209 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *); 210 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *); 211 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec); 212 213 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 214 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 215 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], IS *, DM *); 216 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *); 217 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **); 218 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **); 219 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **); 220 221 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *); 222 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt); 223 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *); 224 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt); 225 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 226 227 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *); 228 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 229 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *); 230 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 231 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring); 232 233 typedef struct NLF_DAAD *NLF; 234 235 #define DM_FILE_CLASSID 1211221 236 237 /* FEM support */ 238 PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]); 239 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]); 240 PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]); 241 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]); 242 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec); 243 244 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 245 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 246 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 247 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 248 249 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 250 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 251 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 252 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 253 PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *); 254 PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *); 255 PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag); 256 PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *); 257 PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType); 258 PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool); 259 static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMGetLocalSection()", ) PetscErrorCode DMGetSection(DM dm, PetscSection *s) 260 { 261 return DMGetLocalSection(dm, s); 262 } 263 static inline PETSC_DEPRECATED_FUNCTION(3, 23, 0, "DMSetLocalSection()", ) PetscErrorCode DMSetSection(DM dm, PetscSection s) 264 { 265 return DMSetLocalSection(dm, s); 266 } 267 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 268 { 269 return DMGetLocalSection(dm, s); 270 } 271 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 272 { 273 return DMSetLocalSection(dm, s); 274 } 275 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 276 { 277 return DMGetGlobalSection(dm, s); 278 } 279 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 280 { 281 return DMSetGlobalSection(dm, s); 282 } 283 284 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 285 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 286 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 287 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 288 { 289 return DMGetSectionSF(dm, s); 290 } 291 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 292 { 293 return DMSetSectionSF(dm, s); 294 } 295 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 296 { 297 return DMCreateSectionSF(dm, l, g); 298 } 299 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 300 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 301 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 302 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 303 304 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 305 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 306 307 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 308 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 309 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 310 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *); 311 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *); 312 313 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 314 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 315 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 316 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 317 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 318 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 319 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 320 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 321 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, PetscInt, PetscInt, DM); 322 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 323 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 324 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 325 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 326 327 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 328 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 329 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 330 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 331 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 332 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 333 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 334 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 335 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 336 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 337 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 338 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, PetscInt, PetscInt, DM); 339 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 340 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 341 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 342 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 343 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 344 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 345 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 346 PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM); 347 348 /*MC 349 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 350 351 Synopsis: 352 comm - The communicator 353 dim - The spatial dimension of points 354 nInput - The number of input points 355 points - The input point coordinates 356 cells - The cell containing each point 357 n - The number of local points 358 coords - The point coordinates 359 dof - The number of components to interpolate 360 361 Level: intermediate 362 363 .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 364 M*/ 365 struct _DMInterpolationInfo { 366 MPI_Comm comm; 367 PetscInt dim; /*1 The spatial dimension of points */ 368 PetscInt nInput; /* The number of input points */ 369 PetscReal *points; /* The input point coordinates */ 370 PetscInt *cells; /* The cell containing each point */ 371 PetscInt n; /* The number of local points */ 372 Vec coords; /* The point coordinates */ 373 PetscInt dof; /* The number of components to interpolate */ 374 }; 375 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 376 377 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 378 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 379 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 380 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 381 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 382 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 383 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 384 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 385 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 386 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 387 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 388 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 389 390 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 391 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 392 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 393 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 394 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 395 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 396 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 397 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 398 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 399 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 400 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 401 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 402 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 403 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 404 405 /*E 406 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name 407 408 Values: 409 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 410 . `DM_COPY_LABELS_KEEP` - keep destination label 411 - `DM_COPY_LABELS_FAIL` - generate an error 412 413 Level: advanced 414 415 .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 416 E*/ 417 typedef enum { 418 DM_COPY_LABELS_REPLACE, 419 DM_COPY_LABELS_KEEP, 420 DM_COPY_LABELS_FAIL 421 } DMCopyLabelsMode; 422 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 423 424 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 425 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 426 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 427 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 428 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 429 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 430 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 431 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 432 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 433 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 434 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 435 436 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 437 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 438 439 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 440 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 441 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 442 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 443 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); 444 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); 445 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); 446 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); 447 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 448 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 449 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 450 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 451 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 452 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 453 454 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 455 456 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscCtxDestroyFn *); 457 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 458 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 459 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 460 461 static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) 462 { 463 switch (ct) { 464 case DM_POLYTOPE_POINT_PRISM_TENSOR: 465 case DM_POLYTOPE_SEG_PRISM_TENSOR: 466 case DM_POLYTOPE_TRI_PRISM_TENSOR: 467 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 468 return PETSC_TRUE; 469 default: 470 return PETSC_FALSE; 471 } 472 } 473 474 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 475 { 476 switch (ct) { 477 case DM_POLYTOPE_POINT: 478 return 0; 479 case DM_POLYTOPE_SEGMENT: 480 case DM_POLYTOPE_POINT_PRISM_TENSOR: 481 return 1; 482 case DM_POLYTOPE_TRIANGLE: 483 case DM_POLYTOPE_QUADRILATERAL: 484 case DM_POLYTOPE_SEG_PRISM_TENSOR: 485 case DM_POLYTOPE_UNKNOWN_FACE: 486 return 2; 487 case DM_POLYTOPE_TETRAHEDRON: 488 case DM_POLYTOPE_HEXAHEDRON: 489 case DM_POLYTOPE_TRI_PRISM: 490 case DM_POLYTOPE_TRI_PRISM_TENSOR: 491 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 492 case DM_POLYTOPE_PYRAMID: 493 case DM_POLYTOPE_UNKNOWN_CELL: 494 return 3; 495 default: 496 return -1; 497 } 498 } 499 500 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 501 { 502 switch (ct) { 503 case DM_POLYTOPE_POINT: 504 return 0; 505 case DM_POLYTOPE_SEGMENT: 506 return 2; 507 case DM_POLYTOPE_POINT_PRISM_TENSOR: 508 return 2; 509 case DM_POLYTOPE_TRIANGLE: 510 return 3; 511 case DM_POLYTOPE_QUADRILATERAL: 512 return 4; 513 case DM_POLYTOPE_SEG_PRISM_TENSOR: 514 return 4; 515 case DM_POLYTOPE_TETRAHEDRON: 516 return 4; 517 case DM_POLYTOPE_HEXAHEDRON: 518 return 6; 519 case DM_POLYTOPE_TRI_PRISM: 520 return 5; 521 case DM_POLYTOPE_TRI_PRISM_TENSOR: 522 return 5; 523 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 524 return 6; 525 case DM_POLYTOPE_PYRAMID: 526 return 5; 527 default: 528 return -1; 529 } 530 } 531 532 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 533 { 534 switch (ct) { 535 case DM_POLYTOPE_POINT: 536 return 1; 537 case DM_POLYTOPE_SEGMENT: 538 return 2; 539 case DM_POLYTOPE_POINT_PRISM_TENSOR: 540 return 2; 541 case DM_POLYTOPE_TRIANGLE: 542 return 3; 543 case DM_POLYTOPE_QUADRILATERAL: 544 return 4; 545 case DM_POLYTOPE_SEG_PRISM_TENSOR: 546 return 4; 547 case DM_POLYTOPE_TETRAHEDRON: 548 return 4; 549 case DM_POLYTOPE_HEXAHEDRON: 550 return 8; 551 case DM_POLYTOPE_TRI_PRISM: 552 return 6; 553 case DM_POLYTOPE_TRI_PRISM_TENSOR: 554 return 6; 555 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 556 return 8; 557 case DM_POLYTOPE_PYRAMID: 558 return 5; 559 default: 560 return -1; 561 } 562 } 563 564 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 565 { 566 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))); 567 } 568 569 static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) 570 { 571 switch (ct) { 572 case DM_POLYTOPE_POINT: 573 return 1; 574 case DM_POLYTOPE_SEGMENT: 575 return 2; 576 case DM_POLYTOPE_POINT_PRISM_TENSOR: 577 return 2; 578 case DM_POLYTOPE_TRIANGLE: 579 return 6; 580 case DM_POLYTOPE_QUADRILATERAL: 581 return 8; 582 case DM_POLYTOPE_SEG_PRISM_TENSOR: 583 return 4; 584 case DM_POLYTOPE_TETRAHEDRON: 585 return 24; 586 case DM_POLYTOPE_HEXAHEDRON: 587 return 48; 588 case DM_POLYTOPE_TRI_PRISM: 589 return 12; 590 case DM_POLYTOPE_TRI_PRISM_TENSOR: 591 return 12; 592 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 593 return 16; 594 case DM_POLYTOPE_PYRAMID: 595 return 8; 596 default: 597 return -1; 598 } 599 } 600 601 /* An arrangement is a face order combined with an orientation for each face */ 602 static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) 603 { 604 static const PetscInt pntArr[1 * 2] = {0, 0}; 605 /* a: swap */ 606 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 607 0, 0, 1, 0, 608 /* 0: e */}; 609 /* a: swap first two 610 b: swap last two */ 611 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 612 2, -1, 1, -1, 0, -1, /* -2: aba */ 613 1, -1, 0, -1, 2, -1, /* -1: a */ 614 0, 0, 1, 0, 2, 0, /* 0: identity */ 615 1, 0, 2, 0, 0, 0, /* 1: ba */ 616 2, 0, 0, 0, 1, 0, 617 /* 2: ab */}; 618 /* a: forward cyclic permutation 619 b: swap first and last pairs */ 620 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 621 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 622 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 623 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 624 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 625 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 626 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 627 3, 0, 0, 0, 1, 0, 2, 0, 628 /* 3: a^3 */}; 629 /* r: rotate 180 630 b: swap top and bottom segments */ 631 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 632 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 633 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 634 1, 0, 0, 0, 2, -1, 3, -1, 635 /* 1: b */}; 636 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 637 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 638 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 639 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 640 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 641 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 642 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 643 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 644 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 645 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 646 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 647 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 648 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 649 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 650 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 651 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 652 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 653 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 654 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 655 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 656 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 657 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 658 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 659 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 660 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 661 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 662 static const PetscInt hexArr[48 * 6 * 2] = { 663 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 664 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 665 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 666 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 667 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 668 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 669 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 670 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 671 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 672 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 673 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 674 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 675 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 676 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 677 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 678 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 679 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 680 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 681 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 682 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 683 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 684 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 685 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 686 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 687 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 688 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 689 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 690 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 691 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 692 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 693 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 694 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 695 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 696 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 697 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 698 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 699 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 700 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 701 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 702 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 703 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 704 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 705 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 706 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 707 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 708 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 709 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 710 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 711 }; 712 static const PetscInt tripArr[12 * 5 * 2] = { 713 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 714 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 715 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 716 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 717 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 718 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 719 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 720 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 721 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 722 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 723 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 724 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 725 }; 726 /* a: rotate 120 about z 727 b: swap top and bottom segments 728 r: reflect */ 729 static const PetscInt ttriArr[12 * 5 * 2] = { 730 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 731 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 732 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 733 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 734 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 735 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 736 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 737 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 738 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 739 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 740 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 741 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 742 }; 743 /* a: rotate 90 about z 744 b: swap top and bottom segments 745 r: reflect */ 746 static const PetscInt tquadArr[16 * 6 * 2] = { 747 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 748 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 749 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 750 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 751 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 752 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 753 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 754 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 755 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 756 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 757 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 758 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 759 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 760 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 761 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 762 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 763 }; 764 static const PetscInt pyrArr[8 * 5 * 2] = { 765 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 766 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 767 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 768 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 769 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 770 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 771 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 772 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 773 }; 774 switch (ct) { 775 case DM_POLYTOPE_POINT: 776 return pntArr; 777 case DM_POLYTOPE_SEGMENT: 778 return &segArr[(o + 1) * 2 * 2]; 779 case DM_POLYTOPE_POINT_PRISM_TENSOR: 780 return &segArr[(o + 1) * 2 * 2]; 781 case DM_POLYTOPE_TRIANGLE: 782 return &triArr[(o + 3) * 3 * 2]; 783 case DM_POLYTOPE_QUADRILATERAL: 784 return &quadArr[(o + 4) * 4 * 2]; 785 case DM_POLYTOPE_SEG_PRISM_TENSOR: 786 return &tsegArr[(o + 2) * 4 * 2]; 787 case DM_POLYTOPE_TETRAHEDRON: 788 return &tetArr[(o + 12) * 4 * 2]; 789 case DM_POLYTOPE_HEXAHEDRON: 790 return &hexArr[(o + 24) * 6 * 2]; 791 case DM_POLYTOPE_TRI_PRISM: 792 return &tripArr[(o + 6) * 5 * 2]; 793 case DM_POLYTOPE_TRI_PRISM_TENSOR: 794 return &ttriArr[(o + 6) * 5 * 2]; 795 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 796 return &tquadArr[(o + 8) * 6 * 2]; 797 case DM_POLYTOPE_PYRAMID: 798 return &pyrArr[(o + 4) * 5 * 2]; 799 default: 800 return PETSC_NULLPTR; 801 } 802 } 803 804 /* A vertex arrangement is a vertex order */ 805 static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) 806 { 807 static const PetscInt pntVerts[1] = {0}; 808 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 809 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 810 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}; 811 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 812 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 813 3, 1, 2, 0, /* -11: (14) p21 */ 814 1, 2, 3, 0, /* -10: (1234) p18 */ 815 3, 2, 0, 1, /* -9: (1423) p17 */ 816 2, 0, 3, 1, /* -8: (1342) p13 */ 817 0, 3, 2, 1, /* -7: (24) p14 */ 818 0, 1, 3, 2, /* -6: (34) p6 */ 819 1, 3, 0, 2, /* -5: (1243) p10 */ 820 3, 0, 1, 2, /* -4: (1432 p9 */ 821 1, 0, 2, 3, /* -3: (12) p1 */ 822 0, 2, 1, 3, /* -2: (23) p2 */ 823 2, 1, 0, 3, /* -1: (13) p5 */ 824 0, 1, 2, 3, /* 0: () p0 */ 825 1, 2, 0, 3, /* 1: (123) p4 */ 826 2, 0, 1, 3, /* 2: (132) p3 */ 827 1, 0, 3, 2, /* 3: (12)(34) p7 */ 828 0, 3, 1, 2, /* 4: (243) p8 */ 829 3, 1, 0, 2, /* 5: (143) p11 */ 830 2, 3, 0, 1, /* 6: (13)(24) p16 */ 831 3, 0, 2, 1, /* 7: (142) p15 */ 832 0, 2, 3, 1, /* 8: (234) p12 */ 833 3, 2, 1, 0, /* 9: (14)(23) p23 */ 834 2, 1, 3, 0, /* 10: (134) p19 */ 835 1, 3, 2, 0 /* 11: (124) p20 */}; 836 static const PetscInt hexVerts[48 * 8] = { 837 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 838 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 839 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 840 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 841 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 842 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 843 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 844 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 845 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 846 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 847 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 848 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 849 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 850 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 851 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 852 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 853 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 854 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 855 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 856 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 857 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 858 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 859 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 860 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 861 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 862 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 863 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 864 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 865 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 866 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 867 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 868 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 869 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 870 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 871 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 872 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 873 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 874 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 875 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 876 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 877 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 878 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 879 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 880 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 881 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 882 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 883 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 884 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 885 }; 886 static const PetscInt tripVerts[12 * 6] = { 887 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 888 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 889 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 890 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 891 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 892 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 893 0, 1, 2, 3, 4, 5, /* 0: identity */ 894 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 895 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 896 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 897 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 898 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 899 }; 900 static const PetscInt ttriVerts[12 * 6] = { 901 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 902 3, 5, 4, 0, 2, 1, /* -5: r b a */ 903 5, 4, 3, 2, 1, 0, /* -4: r b */ 904 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 905 0, 2, 1, 3, 5, 4, /* -2: r a */ 906 2, 1, 0, 5, 4, 3, /* -1: r */ 907 0, 1, 2, 3, 4, 5, /* 0: identity */ 908 1, 2, 0, 4, 5, 3, /* 1: a */ 909 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 910 3, 4, 5, 0, 1, 2, /* 3: b */ 911 4, 5, 3, 1, 2, 0, /* 4: b a */ 912 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 913 }; 914 /* a: rotate 90 about z 915 b: swap top and bottom segments 916 r: reflect */ 917 static const PetscInt tquadVerts[16 * 8] = { 918 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 919 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 920 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 921 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 922 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 923 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 924 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 925 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 926 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 927 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 928 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 929 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 930 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 931 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 932 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 933 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 934 }; 935 static const PetscInt pyrVerts[8 * 5] = { 936 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 937 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 938 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 939 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 940 0, 1, 2, 3, 4, /* 0: identity */ 941 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 942 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 943 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 944 }; 945 switch (ct) { 946 case DM_POLYTOPE_POINT: 947 return pntVerts; 948 case DM_POLYTOPE_SEGMENT: 949 return &segVerts[(o + 1) * 2]; 950 case DM_POLYTOPE_POINT_PRISM_TENSOR: 951 return &segVerts[(o + 1) * 2]; 952 case DM_POLYTOPE_TRIANGLE: 953 return &triVerts[(o + 3) * 3]; 954 case DM_POLYTOPE_QUADRILATERAL: 955 return &quadVerts[(o + 4) * 4]; 956 case DM_POLYTOPE_SEG_PRISM_TENSOR: 957 return &tsegVerts[(o + 2) * 4]; 958 case DM_POLYTOPE_TETRAHEDRON: 959 return &tetVerts[(o + 12) * 4]; 960 case DM_POLYTOPE_HEXAHEDRON: 961 return &hexVerts[(o + 24) * 8]; 962 case DM_POLYTOPE_TRI_PRISM: 963 return &tripVerts[(o + 6) * 6]; 964 case DM_POLYTOPE_TRI_PRISM_TENSOR: 965 return &ttriVerts[(o + 6) * 6]; 966 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 967 return &tquadVerts[(o + 8) * 8]; 968 case DM_POLYTOPE_PYRAMID: 969 return &pyrVerts[(o + 4) * 5]; 970 default: 971 return PETSC_NULLPTR; 972 } 973 } 974 975 /* This is orientation o1 acting on orientation o2 */ 976 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 977 { 978 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 979 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}; 980 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, 981 -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}; 982 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 983 static const PetscInt tetMult[24 * 24] = { 984 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, 985 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, 986 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, 987 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, 988 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, 989 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, 990 -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, 991 -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, 992 -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, 993 -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, 994 -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, 995 -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, 996 }; 997 static const PetscInt hexMult[48 * 48] = { 998 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, 999 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, 1000 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, 1001 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, 1002 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, 1003 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, 1004 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, 1005 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, 1006 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, 1007 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, 1008 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, 1009 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, 1010 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, 1011 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, 1012 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, 1013 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, 1014 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, 1015 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, 1016 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, 1017 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, 1018 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, 1019 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, 1020 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, 1021 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, 1022 -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, 1023 -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, 1024 -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, 1025 -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, 1026 -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, 1027 -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, 1028 -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, 1029 -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, 1030 -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, 1031 -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, 1032 -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, 1033 -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, 1034 -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, 1035 -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, 1036 -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, 1037 -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, 1038 -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, 1039 -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, 1040 -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, 1041 -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, 1042 -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, 1043 -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, 1044 -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, 1045 -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, 1046 }; 1047 static const PetscInt tripMult[12 * 12] = { 1048 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, 1049 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, 1050 -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, 1051 }; 1052 static const PetscInt ttriMult[12 * 12] = { 1053 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, 1054 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, 1055 -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, 1056 }; 1057 static const PetscInt tquadMult[16 * 16] = { 1058 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, 1059 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, 1060 -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, 1061 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, 1062 -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, 1063 }; 1064 static const PetscInt pyrMult[8 * 8] = { 1065 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, 1066 }; 1067 switch (ct) { 1068 case DM_POLYTOPE_POINT: 1069 return 0; 1070 case DM_POLYTOPE_SEGMENT: 1071 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1072 return segMult[(o1 + 1) * 2 + o2 + 1]; 1073 case DM_POLYTOPE_TRIANGLE: 1074 return triMult[(o1 + 3) * 6 + o2 + 3]; 1075 case DM_POLYTOPE_QUADRILATERAL: 1076 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1077 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1078 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1079 case DM_POLYTOPE_TETRAHEDRON: 1080 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1081 case DM_POLYTOPE_HEXAHEDRON: 1082 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1083 case DM_POLYTOPE_TRI_PRISM: 1084 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1085 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1086 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1087 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1088 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1089 case DM_POLYTOPE_PYRAMID: 1090 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1091 default: 1092 return 0; 1093 } 1094 } 1095 1096 /* This is orientation o1 acting on orientation o2^{-1} */ 1097 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1098 { 1099 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1100 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1101 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}; 1102 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}; 1103 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1104 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1105 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1106 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1107 switch (ct) { 1108 case DM_POLYTOPE_POINT: 1109 return 0; 1110 case DM_POLYTOPE_SEGMENT: 1111 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1112 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1113 case DM_POLYTOPE_TRIANGLE: 1114 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1115 case DM_POLYTOPE_QUADRILATERAL: 1116 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1117 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1118 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1119 case DM_POLYTOPE_TETRAHEDRON: 1120 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1121 case DM_POLYTOPE_HEXAHEDRON: 1122 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1123 case DM_POLYTOPE_TRI_PRISM: 1124 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1125 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1126 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1127 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1128 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1129 case DM_POLYTOPE_PYRAMID: 1130 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1131 default: 1132 return 0; 1133 } 1134 } 1135 1136 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1137 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1138 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1139 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1140 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1141