1 /* 2 Objects to manage the interactions between the mesh data structures and the algebraic objects 3 */ 4 #if !defined(PETSCDM_H) 5 #define PETSCDM_H 6 #include <petscmat.h> 7 #include <petscdmtypes.h> 8 #include <petscfetypes.h> 9 #include <petscdstypes.h> 10 #include <petscdmlabel.h> 11 12 PETSC_EXTERN PetscErrorCode DMInitializePackage(void); 13 14 PETSC_EXTERN PetscClassId DM_CLASSID; 15 PETSC_EXTERN PetscClassId DMLABEL_CLASSID; 16 17 #define DMLOCATEPOINT_POINT_NOT_FOUND -367 18 19 /*J 20 DMType - String with the name of a PETSc DM 21 22 Level: beginner 23 24 .seealso: DMSetType(), DM 25 J*/ 26 typedef const char* DMType; 27 #define DMDA "da" 28 #define DMCOMPOSITE "composite" 29 #define DMSLICED "sliced" 30 #define DMSHELL "shell" 31 #define DMPLEX "plex" 32 #define DMREDUNDANT "redundant" 33 #define DMPATCH "patch" 34 #define DMMOAB "moab" 35 #define DMNETWORK "network" 36 #define DMFOREST "forest" 37 #define DMP4EST "p4est" 38 #define DMP8EST "p8est" 39 #define DMSWARM "swarm" 40 #define DMPRODUCT "product" 41 #define DMSTAG "stag" 42 43 PETSC_EXTERN const char *const DMBoundaryTypes[]; 44 PETSC_EXTERN const char *const DMBoundaryConditionTypes[]; 45 PETSC_EXTERN PetscFunctionList DMList; 46 PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm,DM*); 47 PETSC_EXTERN PetscErrorCode DMClone(DM,DM*); 48 PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType); 49 PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *); 50 PETSC_EXTERN PetscErrorCode DMRegister(const char[],PetscErrorCode (*)(DM)); 51 PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void); 52 53 PETSC_EXTERN PetscErrorCode DMView(DM,PetscViewer); 54 PETSC_EXTERN PetscErrorCode DMLoad(DM,PetscViewer); 55 PETSC_EXTERN PetscErrorCode DMDestroy(DM*); 56 PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM,Vec*); 57 PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM,Vec*); 58 PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM,Vec *); 59 PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM,Vec *); 60 PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM,Vec *); 61 PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM,Vec *); 62 PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM); 63 PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM); 64 PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM,const char*,PetscBool*); 65 PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM,const char*,Vec*); 66 PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM,const char*,Vec*); 67 PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM,const char*,PetscBool*); 68 PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM,const char*,Vec*); 69 PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM,const char*,Vec*); 70 PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM,ISLocalToGlobalMapping*); 71 PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM,PetscInt*,char***,IS**); 72 PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM,PetscInt*); 73 PETSC_EXTERN PetscErrorCode DMCreateColoring(DM,ISColoringType,ISColoring*); 74 PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM,Mat*); 75 PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM,PetscBool); 76 PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM,PetscBool); 77 PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM,DM,Mat*,Vec*); 78 PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM,DM,Mat*); 79 PETSC_EXTERN PetscErrorCode DMCreateInjection(DM,DM,Mat*); 80 PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM,DM,Mat*); 81 PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM,PetscInt,MPI_Datatype,void*); 82 PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM,PetscInt,MPI_Datatype,void*); 83 PETSC_EXTERN PetscErrorCode DMRefine(DM,MPI_Comm,DM*); 84 PETSC_EXTERN PetscErrorCode DMCoarsen(DM,MPI_Comm,DM*); 85 PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM,DM*); 86 PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM,DM); 87 PETSC_EXTERN PetscErrorCode DMGetFineDM(DM,DM*); 88 PETSC_EXTERN PetscErrorCode DMSetFineDM(DM,DM); 89 PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM,PetscInt,DM[]); 90 PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM,PetscInt,DM[]); 91 PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*); 92 PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,Vec,Mat,DM,void*),void*); 93 PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*); 94 PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,Mat,DM,void*),void*); 95 PETSC_EXTERN PetscErrorCode DMRestrict(DM,Mat,Vec,Mat,DM); 96 PETSC_EXTERN PetscErrorCode DMInterpolate(DM,Mat,DM); 97 PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM,DM,Mat,Vec,Vec); 98 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 99 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM,PetscObject,const char[]); 100 101 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM,DMLabel,DM*); 102 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DM *); 103 104 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 105 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM,DM,Mat,Vec*); 106 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM,DM,Mat*); 107 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 108 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 109 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM,Vec,InsertMode,Vec); 110 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM,Vec,InsertMode,Vec); 111 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM,Vec,InsertMode,Vec); 112 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM,Vec,InsertMode,Vec); 113 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM,Vec,InsertMode,Vec); 114 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM,Vec,InsertMode,Vec); 115 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM,Vec,InsertMode,Vec); 116 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM,Vec,InsertMode,Vec); 117 PETSC_EXTERN PetscErrorCode DMConvert(DM,DMType,DM*); 118 119 /* Topology support */ 120 PETSC_EXTERN PetscErrorCode DMGetDimension(DM,PetscInt*); 121 PETSC_EXTERN PetscErrorCode DMSetDimension(DM,PetscInt); 122 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM,PetscInt,PetscInt*,PetscInt*); 123 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM,PetscBool*); 124 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM,PetscBool); 125 126 /* Coordinate support */ 127 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM,DM*); 128 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM,DM); 129 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM,PetscInt*); 130 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM,PetscInt); 131 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM,PetscSection*); 132 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM,PetscInt,PetscSection); 133 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM,Vec*); 134 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM,Vec); 135 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM,Vec*); 136 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 137 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM,Vec*); 138 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM,IS,PetscSection*,Vec*); 139 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM,Vec); 140 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM,Vec,DMPointLocationType,PetscSF*); 141 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM,PetscBool*,const PetscReal**,const PetscReal**,const DMBoundaryType**); 142 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM,PetscBool,const PetscReal[],const PetscReal[],const DMBoundaryType[]); 143 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 144 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 145 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM,PetscBool*); 146 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM,PetscBool*); 147 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM,PetscInt*,const PetscMPIInt**); 148 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM,DMField*); 149 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM,DMField); 150 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM,PetscReal[],PetscReal[]); 151 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM,PetscReal[],PetscReal[]); 152 PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM,PetscFE); 153 154 /* block hook interface */ 155 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 156 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 157 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM,VecScatter,VecScatter,DM); 158 159 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM,const char []); 160 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM,const char []); 161 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM,const char*[]); 162 PETSC_EXTERN PetscErrorCode DMSetVecType(DM,VecType); 163 PETSC_EXTERN PetscErrorCode DMGetVecType(DM,VecType*); 164 PETSC_EXTERN PetscErrorCode DMSetMatType(DM,MatType); 165 PETSC_EXTERN PetscErrorCode DMGetMatType(DM,MatType*); 166 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM,ISColoringType); 167 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM,ISColoringType*); 168 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM,void*); 169 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM,PetscErrorCode (*)(void**)); 170 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM,void*); 171 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM,PetscErrorCode (*)(DM,Vec,Vec)); 172 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM,PetscBool *); 173 PETSC_EXTERN PetscErrorCode DMHasColoring(DM,PetscBool *); 174 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM,PetscBool *); 175 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM,PetscBool *); 176 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM,Vec,Vec); 177 178 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 179 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 180 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM,PetscInt,const PetscInt[],IS*,DM*); 181 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[],PetscInt,IS**,DM*); 182 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM,PetscInt*,char***,IS**,DM**); 183 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM,PetscInt*,char***,IS**,IS**,DM**); 184 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM,PetscInt,DM*,VecScatter**,VecScatter**,VecScatter**); 185 186 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM,PetscInt*); 187 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM,PetscInt); 188 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM,PetscInt*); 189 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM,PetscInt); 190 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 191 192 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM*); 193 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 194 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM*); 195 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 196 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat,MatFDColoring); 197 198 typedef struct NLF_DAAD* NLF; 199 200 #define DM_FILE_CLASSID 1211221 201 202 /* FEM support */ 203 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char [], PetscInt, const PetscScalar []); 204 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char [], PetscInt, PetscInt, const PetscScalar []); 205 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char [], PetscReal, Vec); 206 207 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 208 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 209 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 210 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 211 212 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 213 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 214 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 215 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 216 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 217 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 218 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) {return DMGetSection(dm,s);} 219 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) {return DMSetSection(dm,s);} 220 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) {return DMGetGlobalSection(dm,s);} 221 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) {return DMSetGlobalSection(dm,s);} 222 223 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF*); 224 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 225 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 226 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) {return DMGetSectionSF(dm,s);} 227 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) {return DMSetSectionSF(dm,s);} 228 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) {return DMCreateSectionSF(dm,l,g);} 229 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 230 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 231 232 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *); 233 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat); 234 235 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 236 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 237 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 238 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 239 240 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 241 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 242 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 243 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 244 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 245 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 246 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 247 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 248 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 249 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 250 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 251 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 252 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 253 254 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 255 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 256 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *); 257 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *); 258 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS); 259 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *); 260 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS); 261 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 262 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 263 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 264 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 265 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 266 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 267 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 268 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, Vec *); 269 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, Vec); 270 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[]); 271 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 272 273 /*MC 274 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 275 276 Level: intermediate 277 278 Synopsis: 279 comm - The communicator 280 dim - The spatial dimension of points 281 nInput - The number of input points 282 points - The input point coordinates 283 cells - The cell containing each point 284 n - The number of local points 285 coords - The point coordinates 286 dof - The number of components to interpolate 287 288 .seealso: DMInterpolationCreate(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 289 M*/ 290 struct _DMInterpolationInfo { 291 MPI_Comm comm; 292 PetscInt dim; /*1 The spatial dimension of points */ 293 PetscInt nInput; /* The number of input points */ 294 PetscReal *points; /* The input point coordinates */ 295 PetscInt *cells; /* The cell containing each point */ 296 PetscInt n; /* The number of local points */ 297 Vec coords; /* The point coordinates */ 298 PetscInt dof; /* The number of components to interpolate */ 299 }; 300 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 301 302 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 303 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 304 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 305 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 306 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 307 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 308 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 309 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 310 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 311 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 312 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 313 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 314 315 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char []); 316 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 317 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 318 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 319 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 320 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 321 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char [], PetscInt, PetscInt *); 322 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char [], PetscInt, IS *); 323 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char [], PetscInt, IS); 324 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 325 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 326 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 327 328 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 329 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 330 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char [], PetscBool *); 331 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 332 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 333 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 334 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 335 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char [], DMLabel *); 336 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 337 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool); 338 339 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 340 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 341 342 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 343 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 344 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 345 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec); 346 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); 347 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); 348 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); 349 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 350 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal [], PetscReal *); 351 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 352 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 353 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM,PetscBool*); 354 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 355 356 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM,DM,PetscBool*,PetscBool*); 357 358 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void**)); 359 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 360 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 361 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 362 363 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 364 { 365 switch (ct) { 366 case DM_POLYTOPE_POINT: 367 return 0; 368 case DM_POLYTOPE_SEGMENT: 369 case DM_POLYTOPE_POINT_PRISM_TENSOR: 370 return 1; 371 case DM_POLYTOPE_TRIANGLE: 372 case DM_POLYTOPE_QUADRILATERAL: 373 case DM_POLYTOPE_SEG_PRISM_TENSOR: 374 return 2; 375 case DM_POLYTOPE_TETRAHEDRON: 376 case DM_POLYTOPE_HEXAHEDRON: 377 case DM_POLYTOPE_TRI_PRISM: 378 case DM_POLYTOPE_TRI_PRISM_TENSOR: 379 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 380 case DM_POLYTOPE_PYRAMID: 381 return 3; 382 default: return -1; 383 } 384 } 385 386 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 387 { 388 switch (ct) { 389 case DM_POLYTOPE_POINT: return 0; 390 case DM_POLYTOPE_SEGMENT: return 2; 391 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 392 case DM_POLYTOPE_TRIANGLE: return 3; 393 case DM_POLYTOPE_QUADRILATERAL: return 4; 394 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 395 case DM_POLYTOPE_TETRAHEDRON: return 4; 396 case DM_POLYTOPE_HEXAHEDRON: return 6; 397 case DM_POLYTOPE_TRI_PRISM: return 5; 398 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 5; 399 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 6; 400 case DM_POLYTOPE_PYRAMID: return 5; 401 default: return -1; 402 } 403 } 404 405 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 406 { 407 switch (ct) { 408 case DM_POLYTOPE_POINT: return 1; 409 case DM_POLYTOPE_SEGMENT: return 2; 410 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 411 case DM_POLYTOPE_TRIANGLE: return 3; 412 case DM_POLYTOPE_QUADRILATERAL: return 4; 413 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 414 case DM_POLYTOPE_TETRAHEDRON: return 4; 415 case DM_POLYTOPE_HEXAHEDRON: return 8; 416 case DM_POLYTOPE_TRI_PRISM: return 6; 417 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 6; 418 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 8; 419 case DM_POLYTOPE_PYRAMID: return 5; 420 default: return -1; 421 } 422 } 423 424 PETSC_STATIC_INLINE DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 425 { 426 return dim == 0 ? DM_POLYTOPE_POINT : 427 (dim == 1 ? DM_POLYTOPE_SEGMENT : 428 (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) : 429 (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN))); 430 } 431 432 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 433 { 434 switch (ct) { 435 case DM_POLYTOPE_POINT: return 1; 436 case DM_POLYTOPE_SEGMENT: return 2; 437 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 438 case DM_POLYTOPE_TRIANGLE: return 6; 439 case DM_POLYTOPE_QUADRILATERAL: return 8; 440 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 441 case DM_POLYTOPE_TETRAHEDRON: return 24; 442 case DM_POLYTOPE_HEXAHEDRON: return 48; 443 case DM_POLYTOPE_TRI_PRISM: return 12; 444 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 12; 445 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 16; 446 case DM_POLYTOPE_PYRAMID: return 8; 447 default: return -1; 448 } 449 } 450 451 /* An arrangement is a face order combined with an orientation for each face */ 452 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 453 { 454 static const PetscInt pntArr[1*2] = {0, 0}; 455 /* a: swap */ 456 static const PetscInt segArr[2*2*2] = { 457 1, 0, 0, 0, /* -1: a */ 458 0, 0, 1, 0, /* 0: e */}; 459 /* a: swap first two 460 b: swap last two */ 461 static const PetscInt triArr[6*3*2] = { 462 0, -1, 2, -1, 1, -1, /* -3: b */ 463 2, -1, 1, -1, 0, -1, /* -2: aba */ 464 1, -1, 0, -1, 2, -1, /* -1: a */ 465 0, 0, 1, 0, 2, 0, /* 0: identity */ 466 1, 0, 2, 0, 0, 0, /* 1: ba */ 467 2, 0, 0, 0, 1, 0, /* 2: ab */}; 468 /* a: forward cyclic permutation 469 b: swap first and last pairs */ 470 static const PetscInt quadArr[8*4*2] = { 471 1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 472 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 473 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 474 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 475 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 476 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 477 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 478 3, 0, 0, 0, 1, 0, 2, 0, /* 3: a^3 */}; 479 /* r: rotate 180 480 b: swap top and bottom segments */ 481 static const PetscInt tsegArr[4*4*2] = { 482 1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 483 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 484 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 485 1, 0, 0, 0, 2, -1, 3, -1, /* 1: b */}; 486 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 487 static const PetscInt tetArr[24*4*2] = { 488 3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 489 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 490 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 491 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 492 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 493 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 494 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 495 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 496 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 497 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 498 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 499 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 500 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 501 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 502 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 503 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 504 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 505 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 506 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 507 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 508 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 509 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 510 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 511 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 512 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 513 static const PetscInt hexArr[48*6*2] = { 514 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 515 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 516 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 517 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 518 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 519 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 520 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 521 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 522 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 523 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 524 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 525 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 526 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 527 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 528 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 529 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 530 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 531 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 532 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 533 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 534 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 535 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 536 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 537 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 538 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 539 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 540 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 541 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 542 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 543 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 544 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 545 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 546 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 547 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 548 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 549 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 550 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 551 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 552 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 553 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 554 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 555 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 556 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 557 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 558 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 559 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 560 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 561 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 562 }; 563 static const PetscInt tripArr[12*5*2] = { 564 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 565 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 566 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 567 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 568 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 569 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 570 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 571 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 572 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 573 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 574 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 575 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 576 }; 577 /* a: rotate 120 about z 578 b: swap top and bottom segments 579 r: reflect */ 580 static const PetscInt ttriArr[12*5*2] = { 581 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 582 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 583 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 584 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 585 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 586 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 587 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 588 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 589 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 590 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 591 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 592 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 593 }; 594 /* a: rotate 90 about z 595 b: swap top and bottom segments 596 r: reflect */ 597 static const PetscInt tquadArr[16*6*2] = { 598 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 599 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 600 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 601 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 602 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 603 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 604 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 605 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 606 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 607 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 608 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 609 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 610 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 611 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 612 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 613 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 614 }; 615 static const PetscInt pyrArr[8*5*2] = { 616 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 617 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 618 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 619 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 620 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 621 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 622 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 623 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 624 }; 625 switch (ct) { 626 case DM_POLYTOPE_POINT: return pntArr; 627 case DM_POLYTOPE_SEGMENT: return &segArr[(o+1)*2*2]; 628 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segArr[(o+1)*2*2]; 629 case DM_POLYTOPE_TRIANGLE: return &triArr[(o+3)*3*2]; 630 case DM_POLYTOPE_QUADRILATERAL: return &quadArr[(o+4)*4*2]; 631 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegArr[(o+2)*4*2]; 632 case DM_POLYTOPE_TETRAHEDRON: return &tetArr[(o+12)*4*2]; 633 case DM_POLYTOPE_HEXAHEDRON: return &hexArr[(o+24)*6*2]; 634 case DM_POLYTOPE_TRI_PRISM: return &tripArr[(o+6)*5*2]; 635 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriArr[(o+6)*5*2]; 636 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadArr[(o+8)*6*2]; 637 case DM_POLYTOPE_PYRAMID: return &pyrArr[(o+4)*5*2]; 638 default: return NULL; 639 } 640 } 641 642 /* A vertex arrangment is a vertex order */ 643 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 644 { 645 static const PetscInt pntVerts[1] = {0}; 646 static const PetscInt segVerts[2*2] = { 647 1, 0, 648 0, 1}; 649 static const PetscInt triVerts[6*3] = { 650 1, 0, 2, 651 0, 2, 1, 652 2, 1, 0, 653 0, 1, 2, 654 1, 2, 0, 655 2, 0, 1}; 656 static const PetscInt quadVerts[8*4] = { 657 2, 1, 0, 3, 658 1, 0, 3, 2, 659 0, 3, 2, 1, 660 3, 2, 1, 0, 661 0, 1, 2, 3, 662 1, 2, 3, 0, 663 2, 3, 0, 1, 664 3, 0, 1, 2}; 665 static const PetscInt tsegVerts[4*4] = { 666 3, 2, 1, 0, 667 1, 0, 3, 2, 668 0, 1, 2, 3, 669 2, 3, 0, 1}; 670 static const PetscInt tetVerts[24*4] = { 671 2, 3, 1, 0, /* -12: (1324) p22 */ 672 3, 1, 2, 0, /* -11: (14) p21 */ 673 1, 2, 3, 0, /* -10: (1234) p18 */ 674 3, 2, 0, 1, /* -9: (1423) p17 */ 675 2, 0, 3, 1, /* -8: (1342) p13 */ 676 0, 3, 2, 1, /* -7: (24) p14 */ 677 0, 1, 3, 2, /* -6: (34) p6 */ 678 1, 3, 0, 2, /* -5: (1243) p10 */ 679 3, 0, 1, 2, /* -4: (1432 p9 */ 680 1, 0, 2, 3, /* -3: (12) p1 */ 681 0, 2, 1, 3, /* -2: (23) p2 */ 682 2, 1, 0, 3, /* -1: (13) p5 */ 683 0, 1, 2, 3, /* 0: () p0 */ 684 1, 2, 0, 3, /* 1: (123) p4 */ 685 2, 0, 1, 3, /* 2: (132) p3 */ 686 1, 0, 3, 2, /* 3: (12)(34) p7 */ 687 0, 3, 1, 2, /* 4: (243) p8 */ 688 3, 1, 0, 2, /* 5: (143) p11 */ 689 2, 3, 0, 1, /* 6: (13)(24) p16 */ 690 3, 0, 2, 1, /* 7: (142) p15 */ 691 0, 2, 3, 1, /* 8: (234) p12 */ 692 3, 2, 1, 0, /* 9: (14)(23) p23 */ 693 2, 1, 3, 0, /* 10: (134) p19 */ 694 1, 3, 2, 0 /* 11: (124) p20 */}; 695 static const PetscInt hexVerts[48*8] = { 696 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 697 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 698 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 699 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 700 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 701 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 702 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 703 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 704 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 705 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 706 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 707 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 708 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 709 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 710 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 711 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 712 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 713 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 714 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 715 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 716 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 717 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 718 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 719 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 720 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 721 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 722 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 723 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 724 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 725 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 726 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 727 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 728 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 729 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 730 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 731 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 732 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 733 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 734 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 735 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 736 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 737 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 738 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 739 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 740 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 741 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 742 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 743 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 744 }; 745 static const PetscInt tripVerts[12*6] = { 746 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 747 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 748 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 749 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 750 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 751 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 752 0, 1, 2, 3, 4, 5, /* 0: identity */ 753 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 754 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 755 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 756 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 757 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 758 }; 759 static const PetscInt ttriVerts[12*6] = { 760 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 761 3, 5, 4, 0, 2, 1, /* -5: r b a */ 762 5, 4, 3, 2, 1, 0, /* -4: r b */ 763 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 764 0, 2, 1, 3, 5, 4, /* -2: r a */ 765 2, 1, 0, 5, 4, 3, /* -1: r */ 766 0, 1, 2, 3, 4, 5, /* 0: identity */ 767 1, 2, 0, 4, 5, 3, /* 1: a */ 768 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 769 3, 4, 5, 0, 1, 2, /* 3: b */ 770 4, 5, 3, 1, 2, 0, /* 4: b a */ 771 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 772 }; 773 /* a: rotate 90 about z 774 b: swap top and bottom segments 775 r: reflect */ 776 static const PetscInt tquadVerts[16*8] = { 777 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 778 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 779 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 780 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 781 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 782 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 783 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 784 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 785 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 786 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 787 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 788 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 789 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 790 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 791 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 792 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 793 }; 794 static const PetscInt pyrVerts[8*5] = { 795 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 796 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 797 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 798 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 799 0, 1, 2, 3, 4, /* 0: identity */ 800 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 801 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 802 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 803 }; 804 switch (ct) { 805 case DM_POLYTOPE_POINT: return pntVerts; 806 case DM_POLYTOPE_SEGMENT: return &segVerts[(o+1)*2]; 807 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segVerts[(o+1)*2]; 808 case DM_POLYTOPE_TRIANGLE: return &triVerts[(o+3)*3]; 809 case DM_POLYTOPE_QUADRILATERAL: return &quadVerts[(o+4)*4]; 810 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegVerts[(o+2)*4]; 811 case DM_POLYTOPE_TETRAHEDRON: return &tetVerts[(o+12)*4]; 812 case DM_POLYTOPE_HEXAHEDRON: return &hexVerts[(o+24)*8]; 813 case DM_POLYTOPE_TRI_PRISM: return &tripVerts[(o+6)*6]; 814 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriVerts[(o+6)*6]; 815 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadVerts[(o+8)*8]; 816 case DM_POLYTOPE_PYRAMID: return &pyrVerts[(o+4)*5]; 817 default: return NULL; 818 } 819 } 820 821 /* This is orientation o1 acting on orientation o2 */ 822 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 823 { 824 static const PetscInt segMult[2*2] = { 825 0, -1, 826 -1, 0}; 827 static const PetscInt triMult[6*6] = { 828 0, 2, 1, -3, -1, -2, 829 1, 0, 2, -2, -3, -1, 830 2, 1, 0, -1, -2, -3, 831 -3, -2, -1, 0, 1, 2, 832 -2, -1, -3, 1, 2, 0, 833 -1, -3, -2, 2, 0, 1}; 834 static const PetscInt quadMult[8*8] = { 835 0, 3, 2, 1, -4, -1, -2, -3, 836 1, 0, 3, 2, -3, -4, -1, -2, 837 2, 1, 0, 3, -2, -3, -4, -1, 838 3, 2, 1, 0, -1, -2, -3, -4, 839 -4, -3, -2, -1, 0, 1, 2, 3, 840 -3, -2, -1, -4, 1, 2, 3, 0, 841 -2, -1, -4, -3, 2, 3, 0, 1, 842 -1, -4, -3, -2, 3, 0, 1, 2}; 843 static const PetscInt tsegMult[4*4] = { 844 0, 1, -2, -1, 845 1, 0, -1, -2, 846 -2, -1, 0, 1, 847 -1, -2, 1, 0}; 848 static const PetscInt tetMult[24*24] = { 849 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8, 850 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7, 851 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9, 852 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2, 853 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1, 854 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3, 855 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5, 856 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4, 857 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6, 858 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11, 859 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10, 860 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, 861 -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 862 -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 863 -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 864 -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5, 865 -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3, 866 -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4, 867 -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2, 868 -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0, 869 -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1, 870 -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8, 871 -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6, 872 -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7, 873 }; 874 static const PetscInt hexMult[48*48] = { 875 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, 876 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, 877 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, 878 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, 879 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, 880 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, 881 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, 882 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, 883 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, 884 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, 885 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, 886 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, 887 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, 888 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, 889 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, 890 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, 891 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, 892 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, 893 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, 894 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, 895 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, 896 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, 897 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, 898 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, 899 -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, 900 -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, 901 -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, 902 -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, 903 -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, 904 -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, 905 -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, 906 -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, 907 -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, 908 -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, 909 -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, 910 -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, 911 -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, 912 -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, 913 -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, 914 -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, 915 -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, 916 -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, 917 -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, 918 -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, 919 -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, 920 -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, 921 -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, 922 -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, 923 }; 924 static const PetscInt tripMult[12*12] = { 925 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1, 926 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2, 927 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 928 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4, 929 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5, 930 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 931 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 932 -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4, 933 -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3, 934 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 935 -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1, 936 -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0, 937 }; 938 static const PetscInt ttriMult[12*12] = { 939 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2, 940 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1, 941 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 942 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, 943 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, 944 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 945 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 946 -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 947 -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 948 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 949 -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0, 950 -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1, 951 }; 952 static const PetscInt tquadMult[16*16] = { 953 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3, 954 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2, 955 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1, 956 3, 2, 1, 0, 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4, 957 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7, 958 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6, 959 6, 5, 4, 7, 2, 1, 0, 3, -2, -3, -4, -1, -6, -7, -8, -5, 960 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, 961 -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 962 -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0, 5, 6, 7, 4, 963 -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5, 964 -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6, 965 -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3, 966 -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0, 967 -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1, 968 -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2, 969 }; 970 static const PetscInt pyrMult[8*8] = { 971 0, 3, 2, 1, -4, -1, -2, -3, 972 1, 0, 3, 2, -3, -4, -1, -2, 973 2, 1, 0, 3, -2, -3, -4, -1, 974 3, 2, 1, 0, -1, -2, -3, -4, 975 -4, -3, -2, -1, 0, 1, 2, 3, 976 -3, -2, -1, -4, 1, 2, 3, 0, 977 -2, -1, -4, -3, 2, 3, 0, 1, 978 -1, -4, -3, -2, 3, 0, 1, 2, 979 }; 980 switch (ct) { 981 case DM_POLYTOPE_POINT: return 0; 982 case DM_POLYTOPE_SEGMENT: 983 case DM_POLYTOPE_POINT_PRISM_TENSOR: return segMult[(o1+1)*2+o2+1]; 984 case DM_POLYTOPE_TRIANGLE: return triMult[(o1+3)*6+o2+3]; 985 case DM_POLYTOPE_QUADRILATERAL: return quadMult[(o1+4)*8+o2+4]; 986 case DM_POLYTOPE_SEG_PRISM_TENSOR: return tsegMult[(o1+2)*4+o2+2]; 987 case DM_POLYTOPE_TETRAHEDRON: return tetMult[(o1+12)*24+o2+12]; 988 case DM_POLYTOPE_HEXAHEDRON: return hexMult[(o1+24)*48+o2+24]; 989 case DM_POLYTOPE_TRI_PRISM: return tripMult[(o1+6)*12+o2+6]; 990 case DM_POLYTOPE_TRI_PRISM_TENSOR: return ttriMult[(o1+6)*12+o2+6]; 991 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return tquadMult[(o1+8)*16+o2+8]; 992 case DM_POLYTOPE_PYRAMID: return pyrMult[(o1+4)*8+o2+4]; 993 default: return 0; 994 } 995 } 996 997 /* This is orientation o1 acting on orientation o2^{-1} */ 998 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 999 { 1000 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1001 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1002 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}; 1003 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, 1004 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22}; 1005 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1006 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1007 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1008 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1009 switch (ct) { 1010 case DM_POLYTOPE_POINT: return 0; 1011 case DM_POLYTOPE_SEGMENT: 1012 case DM_POLYTOPE_POINT_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1013 case DM_POLYTOPE_TRIANGLE: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2+3]); 1014 case DM_POLYTOPE_QUADRILATERAL: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2+4]); 1015 case DM_POLYTOPE_SEG_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1016 case DM_POLYTOPE_TETRAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2+12]); 1017 case DM_POLYTOPE_HEXAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2+24]); 1018 case DM_POLYTOPE_TRI_PRISM: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2+6]); 1019 case DM_POLYTOPE_TRI_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2+6]); 1020 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2+8]); 1021 case DM_POLYTOPE_PYRAMID: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2+4]); 1022 default: return 0; 1023 } 1024 } 1025 1026 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1027 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1028 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1029 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1030 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1031 1032 #endif 1033