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 DMExtrude(DM,PetscInt,DM*); 99 PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM); 100 PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM,PetscObject,const char[]); 101 102 PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM,DMLabel,DM*); 103 PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DM *); 104 105 PETSC_EXTERN PetscErrorCode DMSetUp(DM); 106 PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM,DM,Mat,Vec*); 107 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use DMDACreateAggregates() or DMCreateRestriction() (since version 3.12)") PetscErrorCode DMCreateAggregates(DM,DM,Mat*); 108 PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 109 PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM,PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),PetscErrorCode (*)(DM,Vec,InsertMode,Vec,void*),void*); 110 PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM,Vec,InsertMode,Vec); 111 PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM,Vec,InsertMode,Vec); 112 PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM,Vec,InsertMode,Vec); 113 PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM,Vec,InsertMode,Vec); 114 PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM,Vec,InsertMode,Vec); 115 PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM,Vec,InsertMode,Vec); 116 PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM,Vec,InsertMode,Vec); 117 PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM,Vec,InsertMode,Vec); 118 PETSC_EXTERN PetscErrorCode DMConvert(DM,DMType,DM*); 119 120 /* Topology support */ 121 PETSC_EXTERN PetscErrorCode DMGetDimension(DM,PetscInt*); 122 PETSC_EXTERN PetscErrorCode DMSetDimension(DM,PetscInt); 123 PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM,PetscInt,PetscInt*,PetscInt*); 124 PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM,PetscBool*); 125 PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM,PetscBool); 126 127 /* Coordinate support */ 128 PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM,DM*); 129 PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM,DM); 130 PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM,PetscInt*); 131 PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM,PetscInt); 132 PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM,PetscSection*); 133 PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM,PetscInt,PetscSection); 134 PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM,Vec*); 135 PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM,Vec); 136 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM,Vec*); 137 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM); 138 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM,Vec*); 139 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM,IS,PetscSection*,Vec*); 140 PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM,Vec); 141 PETSC_EXTERN PetscErrorCode DMLocatePoints(DM,Vec,DMPointLocationType,PetscSF*); 142 PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM,PetscBool*,const PetscReal**,const PetscReal**,const DMBoundaryType**); 143 PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM,PetscBool,const PetscReal[],const PetscReal[],const DMBoundaryType[]); 144 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]); 145 PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM); 146 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM,PetscBool*); 147 PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM,PetscBool*); 148 PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM,PetscInt*,const PetscMPIInt**); 149 PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM,DMField*); 150 PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM,DMField); 151 PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM,PetscReal[],PetscReal[]); 152 PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM,PetscReal[],PetscReal[]); 153 PETSC_EXTERN PetscErrorCode DMProjectCoordinates(DM,PetscFE); 154 155 /* block hook interface */ 156 PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 157 PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM,PetscErrorCode (*)(DM,DM,void*),PetscErrorCode (*)(DM,VecScatter,VecScatter,DM,void*),void*); 158 PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM,VecScatter,VecScatter,DM); 159 160 PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM,const char []); 161 PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM,const char []); 162 PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM,const char*[]); 163 PETSC_EXTERN PetscErrorCode DMSetVecType(DM,VecType); 164 PETSC_EXTERN PetscErrorCode DMGetVecType(DM,VecType*); 165 PETSC_EXTERN PetscErrorCode DMSetMatType(DM,MatType); 166 PETSC_EXTERN PetscErrorCode DMGetMatType(DM,MatType*); 167 PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM,ISColoringType); 168 PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM,ISColoringType*); 169 PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM,void*); 170 PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM,PetscErrorCode (*)(void**)); 171 PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM,void*); 172 PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM,PetscErrorCode (*)(DM,Vec,Vec)); 173 PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM,PetscBool *); 174 PETSC_EXTERN PetscErrorCode DMHasColoring(DM,PetscBool *); 175 PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM,PetscBool *); 176 PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM,PetscBool *); 177 PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM,Vec,Vec); 178 179 PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *); 180 PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *); 181 PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM,PetscInt,const PetscInt[],IS*,DM*); 182 PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[],PetscInt,IS**,DM*); 183 PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM,PetscInt*,char***,IS**,DM**); 184 PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM,PetscInt*,char***,IS**,IS**,DM**); 185 PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM,PetscInt,DM*,VecScatter**,VecScatter**,VecScatter**); 186 187 PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM,PetscInt*); 188 PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM,PetscInt); 189 PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM,PetscInt*); 190 PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM,PetscInt); 191 PETSC_EXTERN PetscErrorCode DMFinalizePackage(void); 192 193 PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM*); 194 PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM); 195 PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM*); 196 PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM); 197 PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat,MatFDColoring); 198 199 typedef struct NLF_DAAD* NLF; 200 201 #define DM_FILE_CLASSID 1211221 202 203 /* FEM support */ 204 PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char [], PetscInt, const PetscScalar []); 205 PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char [], PetscInt, PetscInt, const PetscScalar []); 206 PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char [], PetscReal, Vec); 207 208 PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 209 PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 210 PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *)); 211 PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *)); 212 213 PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */ 214 PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */ 215 PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *); 216 PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection); 217 PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *); 218 PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection); 219 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSection() (since v3.9)") PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s) {return DMGetSection(dm,s);} 220 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSection() (since v3.9)") PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s) {return DMSetSection(dm,s);} 221 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetGlobalSection() (since v3.9)") PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s) {return DMGetGlobalSection(dm,s);} 222 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetGlobalSection() (since v3.9)") PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s) {return DMSetGlobalSection(dm,s);} 223 224 PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF*); 225 PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF); 226 PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection); 227 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMGetSectionSF() (since v3.12)") PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s) {return DMGetSectionSF(dm,s);} 228 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMSetSectionSF() (since v3.12)") PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s) {return DMSetSectionSF(dm,s);} 229 PETSC_STATIC_INLINE PETSC_DEPRECATED_FUNCTION("Use DMCreateSectionSF() (since v3.12)") PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g) {return DMCreateSectionSF(dm,l,g);} 230 PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *); 231 PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF); 232 233 PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *); 234 PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat); 235 236 PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *); 237 PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *); 238 PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal); 239 PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char *, PetscInt, PetscReal *); 240 241 PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *); 242 PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt); 243 PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *); 244 PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject); 245 PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject); 246 PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool); 247 PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *); 248 PETSC_EXTERN PetscErrorCode DMClearFields(DM); 249 PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM); 250 PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *); 251 PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool); 252 PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *); 253 PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool); 254 255 PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *); 256 PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *); 257 PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *); 258 PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *); 259 PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS); 260 PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *); 261 PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS); 262 PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *); 263 PETSC_EXTERN PetscErrorCode DMCreateDS(DM); 264 PETSC_EXTERN PetscErrorCode DMClearDS(DM); 265 PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM); 266 PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM); 267 PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec); 268 PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *); 269 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, Vec *); 270 PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, Vec); 271 PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[]); 272 PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM); 273 274 /*MC 275 DMInterpolationInfo - Structure for holding information about interpolation on a mesh 276 277 Level: intermediate 278 279 Synopsis: 280 comm - The communicator 281 dim - The spatial dimension of points 282 nInput - The number of input points 283 points - The input point coordinates 284 cells - The cell containing each point 285 n - The number of local points 286 coords - The point coordinates 287 dof - The number of components to interpolate 288 289 .seealso: DMInterpolationCreate(), DMInterpolationEvaluate(), DMInterpolationAddPoints() 290 M*/ 291 struct _DMInterpolationInfo { 292 MPI_Comm comm; 293 PetscInt dim; /*1 The spatial dimension of points */ 294 PetscInt nInput; /* The number of input points */ 295 PetscReal *points; /* The input point coordinates */ 296 PetscInt *cells; /* The cell containing each point */ 297 PetscInt n; /* The number of local points */ 298 Vec coords; /* The point coordinates */ 299 PetscInt dof; /* The number of components to interpolate */ 300 }; 301 typedef struct _DMInterpolationInfo *DMInterpolationInfo; 302 303 PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *); 304 PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt); 305 PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *); 306 PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt); 307 PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *); 308 PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]); 309 PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool); 310 PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *); 311 PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *); 312 PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *); 313 PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec); 314 PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *); 315 316 PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char []); 317 PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *); 318 PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt); 319 PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt); 320 PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *); 321 PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *); 322 PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char [], PetscInt, PetscInt *); 323 PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char [], PetscInt, IS *); 324 PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char [], PetscInt, IS); 325 PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt); 326 PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *); 327 PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool); 328 329 /*E 330 DMCopyLabelsMode - Determines how DMCopyLabels() behaves when there is a DMLabel in the source and destination DMs with the same name 331 332 Level: advanced 333 334 $ DM_COPY_LABELS_REPLACE - replace label in destination by label from source 335 $ DM_COPY_LABELS_KEEP - keep destination label 336 $ DM_COPY_LABELS_FAIL - throw error 337 338 E*/ 339 typedef enum {DM_COPY_LABELS_REPLACE, DM_COPY_LABELS_KEEP, DM_COPY_LABELS_FAIL} DMCopyLabelsMode; 340 PETSC_EXTERN const char *const DMCopyLabelsModes[]; 341 342 PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *); 343 PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **); 344 PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char [], PetscBool *); 345 PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *); 346 PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel); 347 PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *); 348 PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel); 349 PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char [], DMLabel *); 350 PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool); 351 PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode); 352 PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **); 353 354 PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *); 355 PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *); 356 357 PETSC_EXTERN PetscErrorCode DMProjectFunction(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 358 PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void**,InsertMode,Vec); 359 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec); 360 PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec); 361 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); 362 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); 363 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); 364 PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 365 PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal [], PetscReal *); 366 PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *); 367 PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *); 368 PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM,PetscBool*); 369 PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM); 370 371 PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM,DM,PetscBool*,PetscBool*); 372 373 PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void**)); 374 PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM); 375 PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *); 376 PETSC_EXTERN PetscErrorCode DMMonitor(DM); 377 378 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct) 379 { 380 switch (ct) { 381 case DM_POLYTOPE_POINT: 382 return 0; 383 case DM_POLYTOPE_SEGMENT: 384 case DM_POLYTOPE_POINT_PRISM_TENSOR: 385 return 1; 386 case DM_POLYTOPE_TRIANGLE: 387 case DM_POLYTOPE_QUADRILATERAL: 388 case DM_POLYTOPE_SEG_PRISM_TENSOR: 389 return 2; 390 case DM_POLYTOPE_TETRAHEDRON: 391 case DM_POLYTOPE_HEXAHEDRON: 392 case DM_POLYTOPE_TRI_PRISM: 393 case DM_POLYTOPE_TRI_PRISM_TENSOR: 394 case DM_POLYTOPE_QUAD_PRISM_TENSOR: 395 case DM_POLYTOPE_PYRAMID: 396 return 3; 397 default: return -1; 398 } 399 } 400 401 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct) 402 { 403 switch (ct) { 404 case DM_POLYTOPE_POINT: return 0; 405 case DM_POLYTOPE_SEGMENT: return 2; 406 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 407 case DM_POLYTOPE_TRIANGLE: return 3; 408 case DM_POLYTOPE_QUADRILATERAL: return 4; 409 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 410 case DM_POLYTOPE_TETRAHEDRON: return 4; 411 case DM_POLYTOPE_HEXAHEDRON: return 6; 412 case DM_POLYTOPE_TRI_PRISM: return 5; 413 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 5; 414 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 6; 415 case DM_POLYTOPE_PYRAMID: return 5; 416 default: return -1; 417 } 418 } 419 420 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct) 421 { 422 switch (ct) { 423 case DM_POLYTOPE_POINT: return 1; 424 case DM_POLYTOPE_SEGMENT: return 2; 425 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 426 case DM_POLYTOPE_TRIANGLE: return 3; 427 case DM_POLYTOPE_QUADRILATERAL: return 4; 428 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 429 case DM_POLYTOPE_TETRAHEDRON: return 4; 430 case DM_POLYTOPE_HEXAHEDRON: return 8; 431 case DM_POLYTOPE_TRI_PRISM: return 6; 432 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 6; 433 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 8; 434 case DM_POLYTOPE_PYRAMID: return 5; 435 default: return -1; 436 } 437 } 438 439 PETSC_STATIC_INLINE DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex) 440 { 441 return dim == 0 ? DM_POLYTOPE_POINT : 442 (dim == 1 ? DM_POLYTOPE_SEGMENT : 443 (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) : 444 (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN))); 445 } 446 447 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeGetNumArrangments(DMPolytopeType ct) 448 { 449 switch (ct) { 450 case DM_POLYTOPE_POINT: return 1; 451 case DM_POLYTOPE_SEGMENT: return 2; 452 case DM_POLYTOPE_POINT_PRISM_TENSOR: return 2; 453 case DM_POLYTOPE_TRIANGLE: return 6; 454 case DM_POLYTOPE_QUADRILATERAL: return 8; 455 case DM_POLYTOPE_SEG_PRISM_TENSOR: return 4; 456 case DM_POLYTOPE_TETRAHEDRON: return 24; 457 case DM_POLYTOPE_HEXAHEDRON: return 48; 458 case DM_POLYTOPE_TRI_PRISM: return 12; 459 case DM_POLYTOPE_TRI_PRISM_TENSOR: return 12; 460 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return 16; 461 case DM_POLYTOPE_PYRAMID: return 8; 462 default: return -1; 463 } 464 } 465 466 /* An arrangement is a face order combined with an orientation for each face */ 467 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetArrangment(DMPolytopeType ct, PetscInt o) 468 { 469 static const PetscInt pntArr[1*2] = {0, 0}; 470 /* a: swap */ 471 static const PetscInt segArr[2*2*2] = { 472 1, 0, 0, 0, /* -1: a */ 473 0, 0, 1, 0, /* 0: e */}; 474 /* a: swap first two 475 b: swap last two */ 476 static const PetscInt triArr[6*3*2] = { 477 0, -1, 2, -1, 1, -1, /* -3: b */ 478 2, -1, 1, -1, 0, -1, /* -2: aba */ 479 1, -1, 0, -1, 2, -1, /* -1: a */ 480 0, 0, 1, 0, 2, 0, /* 0: identity */ 481 1, 0, 2, 0, 0, 0, /* 1: ba */ 482 2, 0, 0, 0, 1, 0, /* 2: ab */}; 483 /* a: forward cyclic permutation 484 b: swap first and last pairs */ 485 static const PetscInt quadArr[8*4*2] = { 486 1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */ 487 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */ 488 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */ 489 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */ 490 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 491 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */ 492 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */ 493 3, 0, 0, 0, 1, 0, 2, 0, /* 3: a^3 */}; 494 /* r: rotate 180 495 b: swap top and bottom segments */ 496 static const PetscInt tsegArr[4*4*2] = { 497 1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */ 498 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */ 499 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */ 500 1, 0, 0, 0, 2, -1, 3, -1, /* 1: b */}; 501 /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */ 502 static const PetscInt tetArr[24*4*2] = { 503 3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */ 504 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */ 505 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */ 506 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */ 507 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */ 508 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */ 509 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */ 510 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */ 511 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */ 512 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */ 513 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */ 514 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */ 515 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */ 516 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */ 517 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */ 518 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */ 519 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */ 520 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */ 521 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */ 522 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */ 523 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */ 524 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */ 525 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */ 526 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */}; 527 /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */ 528 static const PetscInt hexArr[48*6*2] = { 529 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */ 530 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */ 531 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */ 532 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */ 533 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */ 534 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */ 535 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */ 536 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */ 537 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */ 538 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */ 539 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */ 540 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */ 541 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */ 542 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */ 543 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */ 544 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */ 545 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */ 546 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */ 547 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */ 548 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */ 549 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */ 550 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */ 551 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */ 552 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */ 553 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 554 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */ 555 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */ 556 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */ 557 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */ 558 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */ 559 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */ 560 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */ 561 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */ 562 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */ 563 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */ 564 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */ 565 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */ 566 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */ 567 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */ 568 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */ 569 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */ 570 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */ 571 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */ 572 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */ 573 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */ 574 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 575 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */ 576 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */ 577 }; 578 static const PetscInt tripArr[12*5*2] = { 579 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */ 580 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */ 581 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */ 582 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */ 583 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */ 584 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */ 585 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 586 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */ 587 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */ 588 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */ 589 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */ 590 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */ 591 }; 592 /* a: rotate 120 about z 593 b: swap top and bottom segments 594 r: reflect */ 595 static const PetscInt ttriArr[12*5*2] = { 596 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */ 597 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */ 598 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */ 599 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */ 600 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */ 601 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */ 602 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 603 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */ 604 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */ 605 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */ 606 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */ 607 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */ 608 }; 609 /* a: rotate 90 about z 610 b: swap top and bottom segments 611 r: reflect */ 612 static const PetscInt tquadArr[16*6*2] = { 613 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */ 614 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */ 615 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */ 616 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */ 617 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */ 618 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */ 619 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */ 620 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */ 621 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */ 622 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */ 623 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */ 624 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */ 625 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */ 626 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */ 627 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */ 628 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */ 629 }; 630 static const PetscInt pyrArr[8*5*2] = { 631 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */ 632 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */ 633 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */ 634 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */ 635 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */ 636 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */ 637 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */ 638 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */ 639 }; 640 switch (ct) { 641 case DM_POLYTOPE_POINT: return pntArr; 642 case DM_POLYTOPE_SEGMENT: return &segArr[(o+1)*2*2]; 643 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segArr[(o+1)*2*2]; 644 case DM_POLYTOPE_TRIANGLE: return &triArr[(o+3)*3*2]; 645 case DM_POLYTOPE_QUADRILATERAL: return &quadArr[(o+4)*4*2]; 646 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegArr[(o+2)*4*2]; 647 case DM_POLYTOPE_TETRAHEDRON: return &tetArr[(o+12)*4*2]; 648 case DM_POLYTOPE_HEXAHEDRON: return &hexArr[(o+24)*6*2]; 649 case DM_POLYTOPE_TRI_PRISM: return &tripArr[(o+6)*5*2]; 650 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriArr[(o+6)*5*2]; 651 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadArr[(o+8)*6*2]; 652 case DM_POLYTOPE_PYRAMID: return &pyrArr[(o+4)*5*2]; 653 default: return NULL; 654 } 655 } 656 657 /* A vertex arrangment is a vertex order */ 658 PETSC_STATIC_INLINE const PetscInt *DMPolytopeTypeGetVertexArrangment(DMPolytopeType ct, PetscInt o) 659 { 660 static const PetscInt pntVerts[1] = {0}; 661 static const PetscInt segVerts[2*2] = { 662 1, 0, 663 0, 1}; 664 static const PetscInt triVerts[6*3] = { 665 1, 0, 2, 666 0, 2, 1, 667 2, 1, 0, 668 0, 1, 2, 669 1, 2, 0, 670 2, 0, 1}; 671 static const PetscInt quadVerts[8*4] = { 672 2, 1, 0, 3, 673 1, 0, 3, 2, 674 0, 3, 2, 1, 675 3, 2, 1, 0, 676 0, 1, 2, 3, 677 1, 2, 3, 0, 678 2, 3, 0, 1, 679 3, 0, 1, 2}; 680 static const PetscInt tsegVerts[4*4] = { 681 3, 2, 1, 0, 682 1, 0, 3, 2, 683 0, 1, 2, 3, 684 2, 3, 0, 1}; 685 static const PetscInt tetVerts[24*4] = { 686 2, 3, 1, 0, /* -12: (1324) p22 */ 687 3, 1, 2, 0, /* -11: (14) p21 */ 688 1, 2, 3, 0, /* -10: (1234) p18 */ 689 3, 2, 0, 1, /* -9: (1423) p17 */ 690 2, 0, 3, 1, /* -8: (1342) p13 */ 691 0, 3, 2, 1, /* -7: (24) p14 */ 692 0, 1, 3, 2, /* -6: (34) p6 */ 693 1, 3, 0, 2, /* -5: (1243) p10 */ 694 3, 0, 1, 2, /* -4: (1432 p9 */ 695 1, 0, 2, 3, /* -3: (12) p1 */ 696 0, 2, 1, 3, /* -2: (23) p2 */ 697 2, 1, 0, 3, /* -1: (13) p5 */ 698 0, 1, 2, 3, /* 0: () p0 */ 699 1, 2, 0, 3, /* 1: (123) p4 */ 700 2, 0, 1, 3, /* 2: (132) p3 */ 701 1, 0, 3, 2, /* 3: (12)(34) p7 */ 702 0, 3, 1, 2, /* 4: (243) p8 */ 703 3, 1, 0, 2, /* 5: (143) p11 */ 704 2, 3, 0, 1, /* 6: (13)(24) p16 */ 705 3, 0, 2, 1, /* 7: (142) p15 */ 706 0, 2, 3, 1, /* 8: (234) p12 */ 707 3, 2, 1, 0, /* 9: (14)(23) p23 */ 708 2, 1, 3, 0, /* 10: (134) p19 */ 709 1, 3, 2, 0 /* 11: (124) p20 */}; 710 static const PetscInt hexVerts[48*8] = { 711 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */ 712 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */ 713 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */ 714 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */ 715 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */ 716 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */ 717 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */ 718 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */ 719 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */ 720 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */ 721 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */ 722 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */ 723 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */ 724 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */ 725 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */ 726 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */ 727 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */ 728 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */ 729 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */ 730 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */ 731 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */ 732 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */ 733 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */ 734 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */ 735 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 736 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */ 737 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */ 738 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */ 739 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */ 740 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */ 741 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */ 742 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */ 743 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */ 744 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */ 745 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */ 746 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */ 747 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */ 748 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */ 749 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */ 750 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */ 751 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */ 752 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */ 753 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */ 754 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */ 755 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */ 756 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */ 757 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */ 758 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */ 759 }; 760 static const PetscInt tripVerts[12*6] = { 761 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */ 762 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */ 763 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */ 764 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */ 765 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */ 766 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */ 767 0, 1, 2, 3, 4, 5, /* 0: identity */ 768 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */ 769 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */ 770 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */ 771 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */ 772 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */ 773 }; 774 static const PetscInt ttriVerts[12*6] = { 775 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */ 776 3, 5, 4, 0, 2, 1, /* -5: r b a */ 777 5, 4, 3, 2, 1, 0, /* -4: r b */ 778 1, 0, 2, 4, 3, 5, /* -3: r a^2 */ 779 0, 2, 1, 3, 5, 4, /* -2: r a */ 780 2, 1, 0, 5, 4, 3, /* -1: r */ 781 0, 1, 2, 3, 4, 5, /* 0: identity */ 782 1, 2, 0, 4, 5, 3, /* 1: a */ 783 2, 0, 1, 5, 3, 4, /* 2: a^2 */ 784 3, 4, 5, 0, 1, 2, /* 3: b */ 785 4, 5, 3, 1, 2, 0, /* 4: b a */ 786 5, 3, 4, 2, 0, 1, /* 5: b a^2 */ 787 }; 788 /* a: rotate 90 about z 789 b: swap top and bottom segments 790 r: reflect */ 791 static const PetscInt tquadVerts[16*8] = { 792 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */ 793 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */ 794 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */ 795 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */ 796 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */ 797 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */ 798 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */ 799 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */ 800 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */ 801 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */ 802 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */ 803 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */ 804 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */ 805 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */ 806 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */ 807 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */ 808 }; 809 static const PetscInt pyrVerts[8*5] = { 810 2, 1, 0, 3, 4, /* -4: Reflect bottom face */ 811 1, 0, 3, 2, 4, /* -3: Reflect bottom face */ 812 0, 3, 2, 1, 4, /* -2: Reflect bottom face */ 813 3, 2, 1, 0, 4, /* -1: Reflect bottom face */ 814 0, 1, 2, 3, 4, /* 0: identity */ 815 1, 2, 3, 0, 4, /* 1: 90 rotation about z */ 816 2, 3, 0, 1, 4, /* 2: 180 rotation about z */ 817 3, 0, 1, 2, 4, /* 3: 270 rotation about z */ 818 }; 819 switch (ct) { 820 case DM_POLYTOPE_POINT: return pntVerts; 821 case DM_POLYTOPE_SEGMENT: return &segVerts[(o+1)*2]; 822 case DM_POLYTOPE_POINT_PRISM_TENSOR: return &segVerts[(o+1)*2]; 823 case DM_POLYTOPE_TRIANGLE: return &triVerts[(o+3)*3]; 824 case DM_POLYTOPE_QUADRILATERAL: return &quadVerts[(o+4)*4]; 825 case DM_POLYTOPE_SEG_PRISM_TENSOR: return &tsegVerts[(o+2)*4]; 826 case DM_POLYTOPE_TETRAHEDRON: return &tetVerts[(o+12)*4]; 827 case DM_POLYTOPE_HEXAHEDRON: return &hexVerts[(o+24)*8]; 828 case DM_POLYTOPE_TRI_PRISM: return &tripVerts[(o+6)*6]; 829 case DM_POLYTOPE_TRI_PRISM_TENSOR: return &ttriVerts[(o+6)*6]; 830 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return &tquadVerts[(o+8)*8]; 831 case DM_POLYTOPE_PYRAMID: return &pyrVerts[(o+4)*5]; 832 default: return NULL; 833 } 834 } 835 836 /* This is orientation o1 acting on orientation o2 */ 837 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2) 838 { 839 static const PetscInt segMult[2*2] = { 840 0, -1, 841 -1, 0}; 842 static const PetscInt triMult[6*6] = { 843 0, 2, 1, -3, -1, -2, 844 1, 0, 2, -2, -3, -1, 845 2, 1, 0, -1, -2, -3, 846 -3, -2, -1, 0, 1, 2, 847 -2, -1, -3, 1, 2, 0, 848 -1, -3, -2, 2, 0, 1}; 849 static const PetscInt quadMult[8*8] = { 850 0, 3, 2, 1, -4, -1, -2, -3, 851 1, 0, 3, 2, -3, -4, -1, -2, 852 2, 1, 0, 3, -2, -3, -4, -1, 853 3, 2, 1, 0, -1, -2, -3, -4, 854 -4, -3, -2, -1, 0, 1, 2, 3, 855 -3, -2, -1, -4, 1, 2, 3, 0, 856 -2, -1, -4, -3, 2, 3, 0, 1, 857 -1, -4, -3, -2, 3, 0, 1, 2}; 858 static const PetscInt tsegMult[4*4] = { 859 0, 1, -2, -1, 860 1, 0, -1, -2, 861 -2, -1, 0, 1, 862 -1, -2, 1, 0}; 863 static const PetscInt tetMult[24*24] = { 864 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8, 865 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7, 866 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9, 867 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2, 868 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1, 869 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3, 870 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5, 871 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4, 872 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6, 873 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11, 874 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10, 875 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, 876 -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 877 -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 878 -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 879 -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5, 880 -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3, 881 -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4, 882 -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2, 883 -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0, 884 -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1, 885 -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8, 886 -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6, 887 -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7, 888 }; 889 static const PetscInt hexMult[48*48] = { 890 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, 891 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, 892 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, 893 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, 894 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, 895 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, 896 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, 897 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, 898 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, 899 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, 900 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, 901 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, 902 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, 903 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, 904 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, 905 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, 906 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, 907 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, 908 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, 909 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, 910 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, 911 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, 912 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, 913 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, 914 -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, 915 -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, 916 -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, 917 -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, 918 -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, 919 -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, 920 -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, 921 -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, 922 -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, 923 -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, 924 -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, 925 -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, 926 -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, 927 -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, 928 -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, 929 -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, 930 -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, 931 -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, 932 -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, 933 -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, 934 -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, 935 -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, 936 -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, 937 -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, 938 }; 939 static const PetscInt tripMult[12*12] = { 940 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1, 941 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2, 942 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 943 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4, 944 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5, 945 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 946 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 947 -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4, 948 -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3, 949 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 950 -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1, 951 -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0, 952 }; 953 static const PetscInt ttriMult[12*12] = { 954 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2, 955 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1, 956 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 957 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, 958 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, 959 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 960 -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 961 -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 962 -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 963 -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, 964 -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0, 965 -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1, 966 }; 967 static const PetscInt tquadMult[16*16] = { 968 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3, 969 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2, 970 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1, 971 3, 2, 1, 0, 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4, 972 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7, 973 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6, 974 6, 5, 4, 7, 2, 1, 0, 3, -2, -3, -4, -1, -6, -7, -8, -5, 975 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, 976 -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 977 -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0, 5, 6, 7, 4, 978 -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5, 979 -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6, 980 -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3, 981 -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0, 982 -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1, 983 -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2, 984 }; 985 static const PetscInt pyrMult[8*8] = { 986 0, 3, 2, 1, -4, -1, -2, -3, 987 1, 0, 3, 2, -3, -4, -1, -2, 988 2, 1, 0, 3, -2, -3, -4, -1, 989 3, 2, 1, 0, -1, -2, -3, -4, 990 -4, -3, -2, -1, 0, 1, 2, 3, 991 -3, -2, -1, -4, 1, 2, 3, 0, 992 -2, -1, -4, -3, 2, 3, 0, 1, 993 -1, -4, -3, -2, 3, 0, 1, 2, 994 }; 995 switch (ct) { 996 case DM_POLYTOPE_POINT: return 0; 997 case DM_POLYTOPE_SEGMENT: 998 case DM_POLYTOPE_POINT_PRISM_TENSOR: return segMult[(o1+1)*2+o2+1]; 999 case DM_POLYTOPE_TRIANGLE: return triMult[(o1+3)*6+o2+3]; 1000 case DM_POLYTOPE_QUADRILATERAL: return quadMult[(o1+4)*8+o2+4]; 1001 case DM_POLYTOPE_SEG_PRISM_TENSOR: return tsegMult[(o1+2)*4+o2+2]; 1002 case DM_POLYTOPE_TETRAHEDRON: return tetMult[(o1+12)*24+o2+12]; 1003 case DM_POLYTOPE_HEXAHEDRON: return hexMult[(o1+24)*48+o2+24]; 1004 case DM_POLYTOPE_TRI_PRISM: return tripMult[(o1+6)*12+o2+6]; 1005 case DM_POLYTOPE_TRI_PRISM_TENSOR: return ttriMult[(o1+6)*12+o2+6]; 1006 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return tquadMult[(o1+8)*16+o2+8]; 1007 case DM_POLYTOPE_PYRAMID: return pyrMult[(o1+4)*8+o2+4]; 1008 default: return 0; 1009 } 1010 } 1011 1012 /* This is orientation o1 acting on orientation o2^{-1} */ 1013 PETSC_STATIC_INLINE PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2) 1014 { 1015 static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1}; 1016 static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1017 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}; 1018 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, 1019 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22}; 1020 static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5}; 1021 static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4}; 1022 static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5}; 1023 static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1}; 1024 switch (ct) { 1025 case DM_POLYTOPE_POINT: return 0; 1026 case DM_POLYTOPE_SEGMENT: 1027 case DM_POLYTOPE_POINT_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1028 case DM_POLYTOPE_TRIANGLE: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2+3]); 1029 case DM_POLYTOPE_QUADRILATERAL: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2+4]); 1030 case DM_POLYTOPE_SEG_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, o2); 1031 case DM_POLYTOPE_TETRAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2+12]); 1032 case DM_POLYTOPE_HEXAHEDRON: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2+24]); 1033 case DM_POLYTOPE_TRI_PRISM: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2+6]); 1034 case DM_POLYTOPE_TRI_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2+6]); 1035 case DM_POLYTOPE_QUAD_PRISM_TENSOR: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2+8]); 1036 case DM_POLYTOPE_PYRAMID: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2+4]); 1037 default: return 0; 1038 } 1039 } 1040 1041 PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1042 PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *); 1043 PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1044 PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *); 1045 PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *); 1046 1047 #endif 1048