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, PetscErrorCode (*)(void **)); 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 DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 250 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 251 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 252 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 253 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 254 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 255 PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *); 256 PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *); 257 PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag); 258 PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *); 259 PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType); 260 PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool); 261 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) 262 { 263 return DMGetSection(dm, s); 264 } 265 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) 266 { 267 return DMSetSection(dm, s); 268 } 269 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) 270 { 271 return DMGetGlobalSection(dm, s); 272 } 273 static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) 274 { 275 return DMSetGlobalSection(dm, s); 276 } 277 278 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *); 279 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 280 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 281 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) 282 { 283 return DMGetSectionSF(dm, s); 284 } 285 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) 286 { 287 return DMSetSectionSF(dm, s); 288 } 289 static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) 290 { 291 return DMCreateSectionSF(dm, l, g); 292 } 293 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 294 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 295 PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *); 296 PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF); 297 298 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *); 299 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec); 300 301 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 302 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 303 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 304 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *); 305 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *); 306 307 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 308 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 309 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 310 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 311 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 312 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 313 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 314 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 315 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, PetscInt, PetscInt, DM); 316 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 317 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 318 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 319 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 320 321 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 322 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 323 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *); 324 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *); 325 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS); 326 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *); 327 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS); 328 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 329 PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *); 330 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 331 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 332 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, PetscInt, PetscInt, DM); 333 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 334 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 335 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 336 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *); 337 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec); 338 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]); 339 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 340 PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM); 341 342 /*MC 343 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 344 345 Synopsis: 346 comm - The communicator 347 dim - The spatial dimension of points 348 nInput - The number of input points 349 points - The input point coordinates 350 cells - The cell containing each point 351 n - The number of local points 352 coords - The point coordinates 353 dof - The number of components to interpolate 354 355 Level: intermediate 356 357 .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()` 358 M*/ 359 struct _DMInterpolationInfo { 360 MPI_Comm comm; 361 PetscInt dim; /*1 The spatial dimension of points */ 362 PetscInt nInput; /* The number of input points */ 363 PetscReal *points; /* The input point coordinates */ 364 PetscInt *cells; /* The cell containing each point */ 365 PetscInt n; /* The number of local points */ 366 Vec coords; /* The point coordinates */ 367 PetscInt dof; /* The number of components to interpolate */ 368 }; 369 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 370 371 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 372 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 373 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 374 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 375 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 376 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 377 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 378 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 379 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 380 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 381 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 382 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 383 384 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]); 385 PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]); 386 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 387 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 388 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 389 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 390 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 391 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *); 392 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *); 393 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS); 394 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 395 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 396 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 397 PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *); 398 399 /*E 400 DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name 401 402 Values: 403 + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source 404 . `DM_COPY_LABELS_KEEP` - keep destination label 405 - `DM_COPY_LABELS_FAIL` - generate an error 406 407 Level: advanced 408 409 .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()` 410 E*/ 411 typedef enum { 412 DM_COPY_LABELS_REPLACE, 413 DM_COPY_LABELS_KEEP, 414 DM_COPY_LABELS_FAIL 415 } DMCopyLabelsMode; 416 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 417 418 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 419 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 420 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *); 421 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 422 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 423 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 424 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 425 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *); 426 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 427 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 428 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 429 430 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 431 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 432 433 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 434 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 435 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 436 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 437 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); 438 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); 439 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); 440 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); 441 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 442 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *); 443 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *); 444 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 445 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *); 446 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 447 448 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *); 449 450 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **)); 451 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 452 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 453 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 454 455 static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct) 456 { 457 switch (ct) { 458 case DM_POLYTOPE_POINT_PRISM_TENSOR: 459 case DM_POLYTOPE_SEG_PRISM_TENSOR: 460 case DM_POLYTOPE_TRI_PRISM_TENSOR: 461 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 462 return PETSC_TRUE; 463 default: 464 return PETSC_FALSE; 465 } 466 } 467 468 static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 469 { 470 switch (ct) { 471 case DM_POLYTOPE_POINT: 472 return 0; 473 case DM_POLYTOPE_SEGMENT: 474 case DM_POLYTOPE_POINT_PRISM_TENSOR: 475 return 1; 476 case DM_POLYTOPE_TRIANGLE: 477 case DM_POLYTOPE_QUADRILATERAL: 478 case DM_POLYTOPE_SEG_PRISM_TENSOR: 479 case DM_POLYTOPE_UNKNOWN_FACE: 480 return 2; 481 case DM_POLYTOPE_TETRAHEDRON: 482 case DM_POLYTOPE_HEXAHEDRON: 483 case DM_POLYTOPE_TRI_PRISM: 484 case DM_POLYTOPE_TRI_PRISM_TENSOR: 485 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 486 case DM_POLYTOPE_PYRAMID: 487 case DM_POLYTOPE_UNKNOWN_CELL: 488 return 3; 489 default: 490 return -1; 491 } 492 } 493 494 static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 495 { 496 switch (ct) { 497 case DM_POLYTOPE_POINT: 498 return 0; 499 case DM_POLYTOPE_SEGMENT: 500 return 2; 501 case DM_POLYTOPE_POINT_PRISM_TENSOR: 502 return 2; 503 case DM_POLYTOPE_TRIANGLE: 504 return 3; 505 case DM_POLYTOPE_QUADRILATERAL: 506 return 4; 507 case DM_POLYTOPE_SEG_PRISM_TENSOR: 508 return 4; 509 case DM_POLYTOPE_TETRAHEDRON: 510 return 4; 511 case DM_POLYTOPE_HEXAHEDRON: 512 return 6; 513 case DM_POLYTOPE_TRI_PRISM: 514 return 5; 515 case DM_POLYTOPE_TRI_PRISM_TENSOR: 516 return 5; 517 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 518 return 6; 519 case DM_POLYTOPE_PYRAMID: 520 return 5; 521 default: 522 return -1; 523 } 524 } 525 526 static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 527 { 528 switch (ct) { 529 case DM_POLYTOPE_POINT: 530 return 1; 531 case DM_POLYTOPE_SEGMENT: 532 return 2; 533 case DM_POLYTOPE_POINT_PRISM_TENSOR: 534 return 2; 535 case DM_POLYTOPE_TRIANGLE: 536 return 3; 537 case DM_POLYTOPE_QUADRILATERAL: 538 return 4; 539 case DM_POLYTOPE_SEG_PRISM_TENSOR: 540 return 4; 541 case DM_POLYTOPE_TETRAHEDRON: 542 return 4; 543 case DM_POLYTOPE_HEXAHEDRON: 544 return 8; 545 case DM_POLYTOPE_TRI_PRISM: 546 return 6; 547 case DM_POLYTOPE_TRI_PRISM_TENSOR: 548 return 6; 549 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 550 return 8; 551 case DM_POLYTOPE_PYRAMID: 552 return 5; 553 default: 554 return -1; 555 } 556 } 557 558 static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 559 { 560 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))); 561 } 562 563 static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct) 564 { 565 switch (ct) { 566 case DM_POLYTOPE_POINT: 567 return 1; 568 case DM_POLYTOPE_SEGMENT: 569 return 2; 570 case DM_POLYTOPE_POINT_PRISM_TENSOR: 571 return 2; 572 case DM_POLYTOPE_TRIANGLE: 573 return 6; 574 case DM_POLYTOPE_QUADRILATERAL: 575 return 8; 576 case DM_POLYTOPE_SEG_PRISM_TENSOR: 577 return 4; 578 case DM_POLYTOPE_TETRAHEDRON: 579 return 24; 580 case DM_POLYTOPE_HEXAHEDRON: 581 return 48; 582 case DM_POLYTOPE_TRI_PRISM: 583 return 12; 584 case DM_POLYTOPE_TRI_PRISM_TENSOR: 585 return 12; 586 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 587 return 16; 588 case DM_POLYTOPE_PYRAMID: 589 return 8; 590 default: 591 return -1; 592 } 593 } 594 595 /* An arrangement is a face order combined with an orientation for each face */ 596 static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o) 597 { 598 static const PetscInt pntArr[1 * 2] = {0, 0}; 599 /* a: swap */ 600 static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */ 601 0, 0, 1, 0, 602 /* 0: e */}; 603 /* a: swap first two 604 b: swap last two */ 605 static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */ 606 2, -1, 1, -1, 0, -1, /* -2: aba */ 607 1, -1, 0, -1, 2, -1, /* -1: a */ 608 0, 0, 1, 0, 2, 0, /* 0: identity */ 609 1, 0, 2, 0, 0, 0, /* 1: ba */ 610 2, 0, 0, 0, 1, 0, 611 /* 2: ab */}; 612 /* a: forward cyclic permutation 613 b: swap first and last pairs */ 614 static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 615 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 616 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 617 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 618 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 619 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 620 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 621 3, 0, 0, 0, 1, 0, 2, 0, 622 /* 3: a^3 */}; 623 /* r: rotate 180 624 b: swap top and bottom segments */ 625 static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 626 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 627 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 628 1, 0, 0, 0, 2, -1, 3, -1, 629 /* 1: b */}; 630 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 631 static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 632 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 633 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 634 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 635 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 636 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 637 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 638 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 639 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 640 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 641 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 642 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 643 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 644 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 645 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 646 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 647 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 648 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 649 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 650 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 651 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 652 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 653 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 654 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 655 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 656 static const PetscInt hexArr[48 * 6 * 2] = { 657 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 658 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 659 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 660 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 661 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 662 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 663 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 664 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 665 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 666 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 667 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 668 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 669 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 670 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 671 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 672 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 673 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 674 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 675 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 676 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 677 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 678 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 679 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 680 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 681 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 682 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 683 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 684 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 685 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 686 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 687 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 688 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 689 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 690 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 691 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 692 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 693 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 694 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 695 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 696 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 697 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 698 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 699 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 700 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 701 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 702 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 703 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 704 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 705 }; 706 static const PetscInt tripArr[12 * 5 * 2] = { 707 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 708 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 709 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 710 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 711 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 712 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 713 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 714 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 715 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 716 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 717 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 718 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 719 }; 720 /* a: rotate 120 about z 721 b: swap top and bottom segments 722 r: reflect */ 723 static const PetscInt ttriArr[12 * 5 * 2] = { 724 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 725 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 726 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 727 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 728 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 729 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 730 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 731 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 732 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 733 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 734 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 735 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 736 }; 737 /* a: rotate 90 about z 738 b: swap top and bottom segments 739 r: reflect */ 740 static const PetscInt tquadArr[16 * 6 * 2] = { 741 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 742 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 743 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 744 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 745 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 746 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 747 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 748 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 749 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 750 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 751 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 752 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 753 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 754 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 755 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 756 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 757 }; 758 static const PetscInt pyrArr[8 * 5 * 2] = { 759 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 760 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 761 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 762 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 763 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 764 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 765 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 766 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 767 }; 768 switch (ct) { 769 case DM_POLYTOPE_POINT: 770 return pntArr; 771 case DM_POLYTOPE_SEGMENT: 772 return &segArr[(o + 1) * 2 * 2]; 773 case DM_POLYTOPE_POINT_PRISM_TENSOR: 774 return &segArr[(o + 1) * 2 * 2]; 775 case DM_POLYTOPE_TRIANGLE: 776 return &triArr[(o + 3) * 3 * 2]; 777 case DM_POLYTOPE_QUADRILATERAL: 778 return &quadArr[(o + 4) * 4 * 2]; 779 case DM_POLYTOPE_SEG_PRISM_TENSOR: 780 return &tsegArr[(o + 2) * 4 * 2]; 781 case DM_POLYTOPE_TETRAHEDRON: 782 return &tetArr[(o + 12) * 4 * 2]; 783 case DM_POLYTOPE_HEXAHEDRON: 784 return &hexArr[(o + 24) * 6 * 2]; 785 case DM_POLYTOPE_TRI_PRISM: 786 return &tripArr[(o + 6) * 5 * 2]; 787 case DM_POLYTOPE_TRI_PRISM_TENSOR: 788 return &ttriArr[(o + 6) * 5 * 2]; 789 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 790 return &tquadArr[(o + 8) * 6 * 2]; 791 case DM_POLYTOPE_PYRAMID: 792 return &pyrArr[(o + 4) * 5 * 2]; 793 default: 794 return PETSC_NULLPTR; 795 } 796 } 797 798 /* A vertex arrangement is a vertex order */ 799 static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o) 800 { 801 static const PetscInt pntVerts[1] = {0}; 802 static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1}; 803 static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1}; 804 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}; 805 static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1}; 806 static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */ 807 3, 1, 2, 0, /* -11: (14) p21 */ 808 1, 2, 3, 0, /* -10: (1234) p18 */ 809 3, 2, 0, 1, /* -9: (1423) p17 */ 810 2, 0, 3, 1, /* -8: (1342) p13 */ 811 0, 3, 2, 1, /* -7: (24) p14 */ 812 0, 1, 3, 2, /* -6: (34) p6 */ 813 1, 3, 0, 2, /* -5: (1243) p10 */ 814 3, 0, 1, 2, /* -4: (1432 p9 */ 815 1, 0, 2, 3, /* -3: (12) p1 */ 816 0, 2, 1, 3, /* -2: (23) p2 */ 817 2, 1, 0, 3, /* -1: (13) p5 */ 818 0, 1, 2, 3, /* 0: () p0 */ 819 1, 2, 0, 3, /* 1: (123) p4 */ 820 2, 0, 1, 3, /* 2: (132) p3 */ 821 1, 0, 3, 2, /* 3: (12)(34) p7 */ 822 0, 3, 1, 2, /* 4: (243) p8 */ 823 3, 1, 0, 2, /* 5: (143) p11 */ 824 2, 3, 0, 1, /* 6: (13)(24) p16 */ 825 3, 0, 2, 1, /* 7: (142) p15 */ 826 0, 2, 3, 1, /* 8: (234) p12 */ 827 3, 2, 1, 0, /* 9: (14)(23) p23 */ 828 2, 1, 3, 0, /* 10: (134) p19 */ 829 1, 3, 2, 0 /* 11: (124) p20 */}; 830 static const PetscInt hexVerts[48 * 8] = { 831 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 832 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 833 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 834 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 835 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 836 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 837 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 838 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 839 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 840 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 841 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 842 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 843 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 844 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 845 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 846 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 847 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 848 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 849 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 850 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 851 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 852 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 853 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 854 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 855 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 856 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 857 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 858 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 859 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 860 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 861 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 862 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 863 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 864 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 865 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 866 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 867 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 868 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 869 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 870 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 871 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 872 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 873 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 874 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 875 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 876 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 877 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 878 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 879 }; 880 static const PetscInt tripVerts[12 * 6] = { 881 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 882 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 883 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 884 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 885 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 886 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 887 0, 1, 2, 3, 4, 5, /* 0: identity */ 888 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 889 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 890 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 891 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 892 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 893 }; 894 static const PetscInt ttriVerts[12 * 6] = { 895 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 896 3, 5, 4, 0, 2, 1, /* -5: r b a */ 897 5, 4, 3, 2, 1, 0, /* -4: r b */ 898 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 899 0, 2, 1, 3, 5, 4, /* -2: r a */ 900 2, 1, 0, 5, 4, 3, /* -1: r */ 901 0, 1, 2, 3, 4, 5, /* 0: identity */ 902 1, 2, 0, 4, 5, 3, /* 1: a */ 903 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 904 3, 4, 5, 0, 1, 2, /* 3: b */ 905 4, 5, 3, 1, 2, 0, /* 4: b a */ 906 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 907 }; 908 /* a: rotate 90 about z 909 b: swap top and bottom segments 910 r: reflect */ 911 static const PetscInt tquadVerts[16 * 8] = { 912 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 913 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 914 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 915 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 916 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 917 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 918 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 919 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 920 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 921 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 922 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 923 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 924 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 925 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 926 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 927 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 928 }; 929 static const PetscInt pyrVerts[8 * 5] = { 930 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 931 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 932 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 933 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 934 0, 1, 2, 3, 4, /* 0: identity */ 935 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 936 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 937 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 938 }; 939 switch (ct) { 940 case DM_POLYTOPE_POINT: 941 return pntVerts; 942 case DM_POLYTOPE_SEGMENT: 943 return &segVerts[(o + 1) * 2]; 944 case DM_POLYTOPE_POINT_PRISM_TENSOR: 945 return &segVerts[(o + 1) * 2]; 946 case DM_POLYTOPE_TRIANGLE: 947 return &triVerts[(o + 3) * 3]; 948 case DM_POLYTOPE_QUADRILATERAL: 949 return &quadVerts[(o + 4) * 4]; 950 case DM_POLYTOPE_SEG_PRISM_TENSOR: 951 return &tsegVerts[(o + 2) * 4]; 952 case DM_POLYTOPE_TETRAHEDRON: 953 return &tetVerts[(o + 12) * 4]; 954 case DM_POLYTOPE_HEXAHEDRON: 955 return &hexVerts[(o + 24) * 8]; 956 case DM_POLYTOPE_TRI_PRISM: 957 return &tripVerts[(o + 6) * 6]; 958 case DM_POLYTOPE_TRI_PRISM_TENSOR: 959 return &ttriVerts[(o + 6) * 6]; 960 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 961 return &tquadVerts[(o + 8) * 8]; 962 case DM_POLYTOPE_PYRAMID: 963 return &pyrVerts[(o + 4) * 5]; 964 default: 965 return PETSC_NULLPTR; 966 } 967 } 968 969 /* This is orientation o1 acting on orientation o2 */ 970 static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 971 { 972 static const PetscInt segMult[2 * 2] = {0, -1, -1, 0}; 973 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}; 974 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, 975 -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}; 976 static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0}; 977 static const PetscInt tetMult[24 * 24] = { 978 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, 979 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, 980 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, 981 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, 982 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, 983 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, 984 -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, 985 -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, 986 -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, 987 -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, 988 -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, 989 -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, 990 }; 991 static const PetscInt hexMult[48 * 48] = { 992 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, 993 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, 994 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, 995 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, 996 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, 997 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, 998 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, 999 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, 1000 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, 1001 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, 1002 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, 1003 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, 1004 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, 1005 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, 1006 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, 1007 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, 1008 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, 1009 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, 1010 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, 1011 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, 1012 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, 1013 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, 1014 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, 1015 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, 1016 -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, 1017 -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, 1018 -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, 1019 -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, 1020 -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, 1021 -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, 1022 -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, 1023 -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, 1024 -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, 1025 -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, 1026 -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, 1027 -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, 1028 -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, 1029 -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, 1030 -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, 1031 -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, 1032 -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, 1033 -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, 1034 -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, 1035 -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, 1036 -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, 1037 -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, 1038 -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, 1039 -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, 1040 }; 1041 static const PetscInt tripMult[12 * 12] = { 1042 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, 1043 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, 1044 -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, 1045 }; 1046 static const PetscInt ttriMult[12 * 12] = { 1047 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, 1048 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, 1049 -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, 1050 }; 1051 static const PetscInt tquadMult[16 * 16] = { 1052 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, 1053 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, 1054 -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, 1055 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, 1056 -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, 1057 }; 1058 static const PetscInt pyrMult[8 * 8] = { 1059 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, 1060 }; 1061 switch (ct) { 1062 case DM_POLYTOPE_POINT: 1063 return 0; 1064 case DM_POLYTOPE_SEGMENT: 1065 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1066 return segMult[(o1 + 1) * 2 + o2 + 1]; 1067 case DM_POLYTOPE_TRIANGLE: 1068 return triMult[(o1 + 3) * 6 + o2 + 3]; 1069 case DM_POLYTOPE_QUADRILATERAL: 1070 return quadMult[(o1 + 4) * 8 + o2 + 4]; 1071 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1072 return tsegMult[(o1 + 2) * 4 + o2 + 2]; 1073 case DM_POLYTOPE_TETRAHEDRON: 1074 return tetMult[(o1 + 12) * 24 + o2 + 12]; 1075 case DM_POLYTOPE_HEXAHEDRON: 1076 return hexMult[(o1 + 24) * 48 + o2 + 24]; 1077 case DM_POLYTOPE_TRI_PRISM: 1078 return tripMult[(o1 + 6) * 12 + o2 + 6]; 1079 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1080 return ttriMult[(o1 + 6) * 12 + o2 + 6]; 1081 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1082 return tquadMult[(o1 + 8) * 16 + o2 + 8]; 1083 case DM_POLYTOPE_PYRAMID: 1084 return pyrMult[(o1 + 4) * 8 + o2 + 4]; 1085 default: 1086 return 0; 1087 } 1088 } 1089 1090 /* This is orientation o1 acting on orientation o2^{-1} */ 1091 static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1092 { 1093 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1094 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1095 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}; 1096 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}; 1097 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1098 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1099 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1100 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1101 switch (ct) { 1102 case DM_POLYTOPE_POINT: 1103 return 0; 1104 case DM_POLYTOPE_SEGMENT: 1105 case DM_POLYTOPE_POINT_PRISM_TENSOR: 1106 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1107 case DM_POLYTOPE_TRIANGLE: 1108 return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]); 1109 case DM_POLYTOPE_QUADRILATERAL: 1110 return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]); 1111 case DM_POLYTOPE_SEG_PRISM_TENSOR: 1112 return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1113 case DM_POLYTOPE_TETRAHEDRON: 1114 return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]); 1115 case DM_POLYTOPE_HEXAHEDRON: 1116 return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]); 1117 case DM_POLYTOPE_TRI_PRISM: 1118 return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]); 1119 case DM_POLYTOPE_TRI_PRISM_TENSOR: 1120 return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]); 1121 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 1122 return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]); 1123 case DM_POLYTOPE_PYRAMID: 1124 return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]); 1125 default: 1126 return 0; 1127 } 1128 } 1129 1130 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1131 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1132 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1133 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1134 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1135