Actual source code: dmpleximpl.h

petsc-3.10.4 2019-02-26
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  1: #if !defined(_PLEXIMPL_H)
  2: #define _PLEXIMPL_H

  4:  #include <petscmat.h>
  5:  #include <petscdmplex.h>
  6:  #include <petscbt.h>
  7:  #include <petscsf.h>
  8:  #include <petsc/private/dmimpl.h>

 10: PETSC_EXTERN PetscLogEvent DMPLEX_Interpolate;
 11: PETSC_EXTERN PetscLogEvent DMPLEX_Partition;
 12: PETSC_EXTERN PetscLogEvent DMPLEX_Distribute;
 13: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeCones;
 14: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeLabels;
 15: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeSF;
 16: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeOverlap;
 17: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeField;
 18: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeData;
 19: PETSC_EXTERN PetscLogEvent DMPLEX_Migrate;
 20: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolateSF;
 21: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalBegin;
 22: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalEnd;
 23: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalBegin;
 24: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalEnd;
 25: PETSC_EXTERN PetscLogEvent DMPLEX_Stratify;
 26: PETSC_EXTERN PetscLogEvent DMPLEX_Preallocate;
 27: PETSC_EXTERN PetscLogEvent DMPLEX_ResidualFEM;
 28: PETSC_EXTERN PetscLogEvent DMPLEX_JacobianFEM;
 29: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolatorFEM;
 30: PETSC_EXTERN PetscLogEvent DMPLEX_InjectorFEM;
 31: PETSC_EXTERN PetscLogEvent DMPLEX_IntegralFEM;
 32: PETSC_EXTERN PetscLogEvent DMPLEX_CreateGmsh;

 34: PETSC_EXTERN PetscBool      PetscPartitionerRegisterAllCalled;
 35: PETSC_EXTERN PetscErrorCode PetscPartitionerRegisterAll(void);

 37: typedef enum {REFINER_NOOP = 0,
 38:               REFINER_SIMPLEX_1D,
 39:               REFINER_SIMPLEX_2D,
 40:               REFINER_HYBRID_SIMPLEX_2D,
 41:               REFINER_SIMPLEX_TO_HEX_2D,
 42:               REFINER_HYBRID_SIMPLEX_TO_HEX_2D,
 43:               REFINER_HEX_2D,
 44:               REFINER_HYBRID_HEX_2D,
 45:               REFINER_SIMPLEX_3D,
 46:               REFINER_HYBRID_SIMPLEX_3D,
 47:               REFINER_SIMPLEX_TO_HEX_3D,
 48:               REFINER_HYBRID_SIMPLEX_TO_HEX_3D,
 49:               REFINER_HEX_3D,
 50:               REFINER_HYBRID_HEX_3D} CellRefiner;

 52: typedef struct _PetscPartitionerOps *PetscPartitionerOps;
 53: struct _PetscPartitionerOps {
 54:   PetscErrorCode (*setfromoptions)(PetscOptionItems*,PetscPartitioner);
 55:   PetscErrorCode (*setup)(PetscPartitioner);
 56:   PetscErrorCode (*view)(PetscPartitioner,PetscViewer);
 57:   PetscErrorCode (*destroy)(PetscPartitioner);
 58:   PetscErrorCode (*partition)(PetscPartitioner, DM, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscSection, IS *);
 59: };

 61: struct _p_PetscPartitioner {
 62:   PETSCHEADER(struct _PetscPartitionerOps);
 63:   void           *data;             /* Implementation object */
 64:   PetscInt        height;           /* Height of points to partition into non-overlapping subsets */
 65: };

 67: typedef struct {
 68:   PetscInt dummy;
 69: } PetscPartitioner_Chaco;

 71: typedef struct {
 72:   PetscInt ptype;
 73: } PetscPartitioner_ParMetis;

 75: typedef struct {
 76:   PetscSection section;   /* Sizes for each partition */
 77:   IS           partition; /* Points in each partition */
 78:   PetscBool    random;    /* Flag for a random partition */
 79: } PetscPartitioner_Shell;

 81: typedef struct {
 82:   PetscInt dummy;
 83: } PetscPartitioner_Simple;

 85: typedef struct {
 86:   PetscInt dummy;
 87: } PetscPartitioner_Gather;

 89: /* Utility struct to store the contents of a Gmsh file in memory */
 90: typedef struct {
 91:   PetscInt dim;      /* Entity dimension */
 92:   PetscInt id;       /* Element number */
 93:   PetscInt numNodes; /* Size of node array */
 94:   int nodes[8];      /* Node array */
 95:   PetscInt numTags;  /* Size of tag array */
 96:   int tags[4];       /* Tag array */
 97:   PetscInt cellType; /* Cell type */
 98: } GmshElement;

100: /* Utility struct to store the contents of a Fluent file in memory */
101: typedef struct {
102:   int          index;    /* Type of section */
103:   unsigned int zoneID;
104:   unsigned int first;
105:   unsigned int last;
106:   int          type;
107:   int          nd;       /* Either ND or element-type */
108:   void        *data;
109: } FluentSection;

111: struct _PetscGridHash {
112:   PetscInt     dim;
113:   PetscReal    lower[3];    /* The lower-left corner */
114:   PetscReal    upper[3];    /* The upper-right corner */
115:   PetscReal    extent[3];   /* The box size */
116:   PetscReal    h[3];        /* The subbox size */
117:   PetscInt     n[3];        /* The number of subboxes */
118:   PetscSection cellSection; /* Offsets for cells in each subbox*/
119:   IS           cells;       /* List of cells in each subbox */
120:   DMLabel      cellsSparse; /* Sparse storage for cell map */
121: };

123: typedef struct {
124:   PetscInt             refct;

126:   /* Sieve */
127:   PetscSection         coneSection;       /* Layout of cones (inedges for DAG) */
128:   PetscInt             maxConeSize;       /* Cached for fast lookup */
129:   PetscInt            *cones;             /* Cone for each point */
130:   PetscInt            *coneOrientations;  /* Orientation of each cone point, means cone traveral should start on point 'o', and if negative start on -(o+1) and go in reverse */
131:   PetscSection         supportSection;    /* Layout of cones (inedges for DAG) */
132:   PetscInt             maxSupportSize;    /* Cached for fast lookup */
133:   PetscInt            *supports;          /* Cone for each point */
134:   PetscBool            refinementUniform; /* Flag for uniform cell refinement */
135:   PetscReal            refinementLimit;   /* Maximum volume for refined cell */
136:   PetscErrorCode     (*refinementFunc)(const PetscReal [], PetscReal *); /* Function giving the maximum volume for refined cell */
137:   PetscInt             hybridPointMax[8]; /* Allow segregation of some points, each dimension has a divider (used in VTK output and refinement) */

139:   PetscInt            *facesTmp;          /* Work space for faces operation */

141:   /* Hierarchy */
142:   PetscBool            regularRefinement; /* This flag signals that we are a regular refinement of coarseMesh */

144:   /* Generation */
145:   char                *tetgenOpts;
146:   char                *triangleOpts;
147:   PetscPartitioner     partitioner;
148:   PetscBool            partitionBalance;  /* Evenly divide partition overlap when distributing */
149:   PetscBool            remeshBd;

151:   /* Submesh */
152:   DMLabel              subpointMap;       /* Label each original mesh point in the submesh with its depth, subpoint are the implicit numbering */

154:   /* Labels and numbering */
155:   PetscObjectState     depthState;        /* State of depth label, so that we can determine if a user changes it */
156:   IS                   globalVertexNumbers;
157:   IS                   globalCellNumbers;

159:   /* Constraints */
160:   PetscSection         anchorSection;      /* maps constrained points to anchor points */
161:   IS                   anchorIS;           /* anchors indexed by the above section */
162:   PetscErrorCode     (*createanchors)(DM); /* automatically compute anchors (probably from tree constraints) */
163:   PetscErrorCode     (*computeanchormatrix)(DM,PetscSection,PetscSection,Mat);

165:   /* Tree: automatically construct constraints for hierarchically non-conforming meshes */
166:   PetscSection         parentSection;     /* dof == 1 if point has parent */
167:   PetscInt            *parents;           /* point to parent */
168:   PetscInt            *childIDs;          /* point to child ID */
169:   PetscSection         childSection;      /* inverse of parent section */
170:   PetscInt            *children;          /* point to children */
171:   DM                   referenceTree;     /* reference tree to which child ID's refer */
172:   PetscErrorCode      (*getchildsymmetry)(DM,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,PetscInt*);

174:   /* MATIS support */
175:   PetscSection         subdomainSection;

177:   /* Adjacency */
178:   PetscBool            useAnchors;        /* Replace constrained points with their anchors in adjacency lists */
179:   PetscErrorCode      (*useradjacency)(DM,PetscInt,PetscInt*,PetscInt[],void*); /* User callback for adjacency */
180:   void                *useradjacencyctx;  /* User context for callback */

182:   /* Projection */
183:   PetscInt             maxProjectionHeight; /* maximum height of cells used in DMPlexProject functions */

185:   /* Output */
186:   PetscInt             vtkCellHeight;            /* The height of cells for output, default is 0 */
187:   PetscReal            scale[NUM_PETSC_UNITS];   /* The scale for each SI unit */

189:   /* Geometry */
190:   PetscReal            minradius;         /* Minimum distance from cell centroid to face */
191:   PetscBool            useHashLocation;   /* Use grid hashing for point location */
192:   PetscGridHash        lbox;              /* Local box for searching */

194:   /* Debugging */
195:   PetscBool            printSetValues;
196:   PetscInt             printFEM;
197:   PetscInt             printL2;
198:   PetscReal            printTol;
199: } DM_Plex;

201: PETSC_EXTERN PetscErrorCode DMPlexVTKWriteAll_VTU(DM,PetscViewer);
202: PETSC_EXTERN PetscErrorCode VecView_Plex_Local(Vec,PetscViewer);
203: PETSC_EXTERN PetscErrorCode VecView_Plex_Native(Vec,PetscViewer);
204: PETSC_EXTERN PetscErrorCode VecView_Plex(Vec,PetscViewer);
205: PETSC_EXTERN PetscErrorCode VecLoad_Plex_Local(Vec,PetscViewer);
206: PETSC_EXTERN PetscErrorCode VecLoad_Plex_Native(Vec,PetscViewer);
207: PETSC_EXTERN PetscErrorCode VecLoad_Plex(Vec,PetscViewer);
208: PETSC_INTERN PetscErrorCode DMPlexGetFieldType_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt *, PetscViewerVTKFieldType *);
209: PETSC_INTERN PetscErrorCode DMPlexView_GLVis(DM,PetscViewer);
210: PETSC_INTERN PetscErrorCode DMSetUpGLVisViewer_Plex(PetscObject,PetscViewer);
211: #if defined(PETSC_HAVE_HDF5)
212: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_HDF5(Vec, PetscViewer);
213: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5(Vec, PetscViewer);
214: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5(Vec, PetscViewer);
215: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5_Native(Vec, PetscViewer);
216: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5_Native(Vec, PetscViewer);
217: PETSC_EXTERN PetscErrorCode DMPlexView_HDF5(DM, PetscViewer);
218: PETSC_EXTERN PetscErrorCode DMPlexLoad_HDF5(DM, PetscViewer);
219: #endif

221: PETSC_INTERN PetscErrorCode DMSetFromOptions_NonRefinement_Plex(PetscOptionItems *, DM);
222: PETSC_INTERN PetscErrorCode DMCoarsen_Plex(DM, MPI_Comm, DM *);
223: PETSC_INTERN PetscErrorCode DMCoarsenHierarchy_Plex(DM, PetscInt, DM []);
224: PETSC_INTERN PetscErrorCode DMRefine_Plex(DM, MPI_Comm, DM *);
225: PETSC_INTERN PetscErrorCode DMRefineHierarchy_Plex(DM, PetscInt, DM []);
226: PETSC_INTERN PetscErrorCode DMAdaptLabel_Plex(DM, DMLabel, DM *);
227: PETSC_INTERN PetscErrorCode DMAdaptMetric_Plex(DM, Vec, DMLabel, DM *);
228: PETSC_INTERN PetscErrorCode DMPlexInsertBoundaryValues_Plex(DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec);
229: PETSC_INTERN PetscErrorCode DMProjectFunctionLocal_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec);
230: PETSC_INTERN PetscErrorCode DMProjectFunctionLabelLocal_Plex(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec);
231: PETSC_INTERN PetscErrorCode DMProjectFieldLocal_Plex(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);
232: PETSC_INTERN PetscErrorCode DMProjectFieldLabelLocal_Plex(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);
233: PETSC_INTERN PetscErrorCode DMComputeL2Diff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
234: PETSC_INTERN PetscErrorCode DMComputeL2GradientDiff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[], const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,const PetscReal [],PetscReal *);
235: PETSC_INTERN PetscErrorCode DMComputeL2FieldDiff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
236: PETSC_INTERN PetscErrorCode DMLocatePoints_Plex(DM, Vec, DMPointLocationType, PetscSF);

238: PETSC_INTERN PetscErrorCode DMPlexBuildFromCellList_Internal(DM, PetscInt, PetscInt, PetscInt, PetscInt, const int[], PetscBool);
239: PETSC_INTERN PetscErrorCode DMPlexBuildFromCellList_Parallel_Internal(DM, PetscInt, PetscInt, PetscInt, PetscInt, const int[], PetscBool, PetscSF *);
240: PETSC_INTERN PetscErrorCode DMPlexBuildCoordinates_Internal(DM, PetscInt, PetscInt, PetscInt, const double[]);
241: PETSC_INTERN PetscErrorCode DMPlexBuildCoordinates_Parallel_Internal(DM, PetscInt, PetscInt, PetscInt, PetscSF, const PetscReal[]);
242: PETSC_INTERN PetscErrorCode DMPlexLoadLabels_HDF5_Internal(DM, PetscViewer);
243: PETSC_INTERN PetscErrorCode DMPlexView_HDF5_Internal(DM, PetscViewer);
244: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Internal(DM, PetscViewer);
245: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Xdmf_Internal(DM, PetscViewer);
246: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Internal(Vec, PetscViewer);
247: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Native_Internal(Vec, PetscViewer);
248: PETSC_INTERN PetscErrorCode VecView_Plex_Local_HDF5_Internal(Vec, PetscViewer);
249: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Internal(Vec, PetscViewer);
250: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Native_Internal(Vec, PetscViewer);
251: /* TODO Make these INTERN */
252: PETSC_EXTERN PetscErrorCode DMPlexView_ExodusII_Internal(DM, int, PetscInt);
253: PETSC_EXTERN PetscErrorCode VecViewPlex_ExodusII_Nodal_Internal(Vec, int, int);
254: PETSC_EXTERN PetscErrorCode VecLoadPlex_ExodusII_Nodal_Internal(Vec, int, int);
255: PETSC_EXTERN PetscErrorCode VecViewPlex_ExodusII_Zonal_Internal(Vec, int, int);
256: PETSC_EXTERN PetscErrorCode VecLoadPlex_ExodusII_Zonal_Internal(Vec, int, int);
257: PETSC_INTERN PetscErrorCode DMPlexVTKGetCellType_Internal(DM,PetscInt,PetscInt,PetscInt*);
258: PETSC_INTERN PetscErrorCode DMPlexGetAdjacency_Internal(DM,PetscInt,PetscBool,PetscBool,PetscBool,PetscInt*,PetscInt*[]);
259: PETSC_INTERN PetscErrorCode DMPlexGetFaces_Internal(DM,PetscInt,PetscInt,PetscInt*,PetscInt*,const PetscInt*[]);
260: PETSC_INTERN PetscErrorCode DMPlexGetRawFaces_Internal(DM,PetscInt,PetscInt,const PetscInt[], PetscInt*,PetscInt*,const PetscInt*[]);
261: PETSC_INTERN PetscErrorCode DMPlexRestoreFaces_Internal(DM,PetscInt,PetscInt,PetscInt*,PetscInt*,const PetscInt*[]);
262: PETSC_INTERN PetscErrorCode DMPlexRefineUniform_Internal(DM,CellRefiner,DM*);
263: PETSC_INTERN PetscErrorCode DMPlexGetCellRefiner_Internal(DM,CellRefiner*);
264: PETSC_INTERN PetscErrorCode CellRefinerGetAffineTransforms_Internal(CellRefiner, PetscInt *, PetscReal *[], PetscReal *[], PetscReal *[]);
265: PETSC_INTERN PetscErrorCode CellRefinerRestoreAffineTransforms_Internal(CellRefiner, PetscInt *, PetscReal *[], PetscReal *[], PetscReal *[]);
266: PETSC_INTERN PetscErrorCode CellRefinerInCellTest_Internal(CellRefiner, const PetscReal[], PetscBool *);
267: PETSC_INTERN PetscErrorCode DMPlexInvertCell_Internal(PetscInt, PetscInt, PetscInt[]);
268: PETSC_INTERN PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM, PetscSection, Vec, PetscBool[], PetscInt, PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
269: PETSC_INTERN PetscErrorCode DMPlexProjectConstraints_Internal(DM, Vec, Vec);
270: PETSC_EXTERN PetscErrorCode DMPlexCreateReferenceTree_Union(DM,DM,const char *,DM*);
271: PETSC_EXTERN PetscErrorCode DMPlexComputeInterpolatorTree(DM,DM,PetscSF,PetscInt *,Mat);
272: PETSC_EXTERN PetscErrorCode DMPlexComputeInjectorTree(DM,DM,PetscSF,PetscInt *,Mat);
273: PETSC_EXTERN PetscErrorCode DMPlexAnchorsModifyMat(DM,PetscSection,PetscInt,PetscInt,const PetscInt[],const PetscInt ***,const PetscScalar[],PetscInt*,PetscInt*,PetscInt*[],PetscScalar*[],PetscInt[],PetscBool);
274: PETSC_EXTERN PetscErrorCode indicesPoint_private(PetscSection,PetscInt,PetscInt,PetscInt *,PetscBool,PetscInt,PetscInt []);
275: PETSC_EXTERN PetscErrorCode indicesPointFields_private(PetscSection,PetscInt,PetscInt,PetscInt [],PetscBool,PetscInt,PetscInt []);
276: PETSC_INTERN PetscErrorCode DMPlexLocatePoint_Internal(DM,PetscInt,const PetscScalar [],PetscInt,PetscInt *);

278: PETSC_INTERN PetscErrorCode DMPlexCreateCellNumbering_Internal(DM, PetscBool, IS *);
279: PETSC_INTERN PetscErrorCode DMPlexCreateVertexNumbering_Internal(DM, PetscBool, IS *);
280: PETSC_INTERN PetscErrorCode DMPlexRefine_Internal(DM, DMLabel, DM *);
281: PETSC_INTERN PetscErrorCode DMPlexCoarsen_Internal(DM, DMLabel, DM *);

283: /* invert dihedral symmetry: return a^-1,
284:  * using the representation described in
285:  * DMPlexGetConeOrientation() */
286: PETSC_STATIC_INLINE PetscInt DihedralInvert(PetscInt N, PetscInt a)
287: {
288:   return (a <= 0) ? a : (N - a);
289: }

291: /* invert dihedral symmetry: return b * a,
292:  * using the representation described in
293:  * DMPlexGetConeOrientation() */
294: PETSC_STATIC_INLINE PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
295: {
296:   if (!N) return 0;
297:   return  (a >= 0) ?
298:          ((b >= 0) ? ((a + b) % N) : -(((a - b - 1) % N) + 1)) :
299:          ((b >= 0) ? -(((N - b - a - 1) % N) + 1) : ((N + b - a) % N));
300: }

302: /* swap dihedral symmetries: return b * a^-1,
303:  * using the representation described in
304:  * DMPlexGetConeOrientation() */
305: PETSC_STATIC_INLINE PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
306: {
307:   return DihedralCompose(N,DihedralInvert(N,a),b);
308: }

310: PETSC_EXTERN PetscErrorCode DMPlexComputeResidual_Internal(DM, IS , PetscReal, Vec, Vec, PetscReal, Vec, void *);
311: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Internal(DM, IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
312: PETSC_EXTERN PetscErrorCode DMPlexReconstructGradients_Internal(DM, PetscFV, PetscInt, PetscInt, Vec, Vec, Vec, Vec);

314: PETSC_STATIC_INLINE void DMPlex_Invert2D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
315: {
316:   const PetscReal invDet = 1.0/detJ;

318:   invJ[0] =  invDet*J[3];
319:   invJ[1] = -invDet*J[1];
320:   invJ[2] = -invDet*J[2];
321:   invJ[3] =  invDet*J[0];
322:   (void)PetscLogFlops(5.0);
323: }

325: PETSC_STATIC_INLINE void DMPlex_Invert3D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
326: {
327:   const PetscReal invDet = 1.0/detJ;

329:   invJ[0*3+0] = invDet*(J[1*3+1]*J[2*3+2] - J[1*3+2]*J[2*3+1]);
330:   invJ[0*3+1] = invDet*(J[0*3+2]*J[2*3+1] - J[0*3+1]*J[2*3+2]);
331:   invJ[0*3+2] = invDet*(J[0*3+1]*J[1*3+2] - J[0*3+2]*J[1*3+1]);
332:   invJ[1*3+0] = invDet*(J[1*3+2]*J[2*3+0] - J[1*3+0]*J[2*3+2]);
333:   invJ[1*3+1] = invDet*(J[0*3+0]*J[2*3+2] - J[0*3+2]*J[2*3+0]);
334:   invJ[1*3+2] = invDet*(J[0*3+2]*J[1*3+0] - J[0*3+0]*J[1*3+2]);
335:   invJ[2*3+0] = invDet*(J[1*3+0]*J[2*3+1] - J[1*3+1]*J[2*3+0]);
336:   invJ[2*3+1] = invDet*(J[0*3+1]*J[2*3+0] - J[0*3+0]*J[2*3+1]);
337:   invJ[2*3+2] = invDet*(J[0*3+0]*J[1*3+1] - J[0*3+1]*J[1*3+0]);
338:   (void)PetscLogFlops(37.0);
339: }

341: PETSC_STATIC_INLINE void DMPlex_Det2D_Internal(PetscReal *detJ, const PetscReal J[])
342: {
343:   *detJ = J[0]*J[3] - J[1]*J[2];
344:   (void)PetscLogFlops(3.0);
345: }

347: PETSC_STATIC_INLINE void DMPlex_Det3D_Internal(PetscReal *detJ, const PetscReal J[])
348: {
349:   *detJ = (J[0*3+0]*(J[1*3+1]*J[2*3+2] - J[1*3+2]*J[2*3+1]) +
350:            J[0*3+1]*(J[1*3+2]*J[2*3+0] - J[1*3+0]*J[2*3+2]) +
351:            J[0*3+2]*(J[1*3+0]*J[2*3+1] - J[1*3+1]*J[2*3+0]));
352:   (void)PetscLogFlops(12.0);
353: }

355: PETSC_STATIC_INLINE void DMPlex_Det2D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
356: {
357:   *detJ = PetscRealPart(J[0])*PetscRealPart(J[3]) - PetscRealPart(J[1])*PetscRealPart(J[2]);
358:   (void)PetscLogFlops(3.0);
359: }

361: PETSC_STATIC_INLINE void DMPlex_Det3D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
362: {
363:   *detJ = (PetscRealPart(J[0*3+0])*(PetscRealPart(J[1*3+1])*PetscRealPart(J[2*3+2]) - PetscRealPart(J[1*3+2])*PetscRealPart(J[2*3+1])) +
364:            PetscRealPart(J[0*3+1])*(PetscRealPart(J[1*3+2])*PetscRealPart(J[2*3+0]) - PetscRealPart(J[1*3+0])*PetscRealPart(J[2*3+2])) +
365:            PetscRealPart(J[0*3+2])*(PetscRealPart(J[1*3+0])*PetscRealPart(J[2*3+1]) - PetscRealPart(J[1*3+1])*PetscRealPart(J[2*3+0])));
366:   (void)PetscLogFlops(12.0);
367: }

369: PETSC_STATIC_INLINE void DMPlex_WaxpyD_Internal(PetscInt dim, PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w) {PetscInt d; for (d = 0; d < dim; ++d) w[d] = a*x[d] + y[d];}

371: PETSC_STATIC_INLINE PetscReal DMPlex_DotD_Internal(PetscInt dim, const PetscScalar *x, const PetscReal *y) {PetscReal sum = 0.0; PetscInt d; for (d = 0; d < dim; ++d) sum += PetscRealPart(x[d])*y[d]; return sum;}

373: PETSC_STATIC_INLINE PetscReal DMPlex_DotRealD_Internal(PetscInt dim, const PetscReal *x, const PetscReal *y) {PetscReal sum = 0.0; PetscInt d; for (d = 0; d < dim; ++d) sum += x[d]*y[d]; return sum;}

375: PETSC_STATIC_INLINE PetscReal DMPlex_NormD_Internal(PetscInt dim, const PetscReal *x) {PetscReal sum = 0.0; PetscInt d; for (d = 0; d < dim; ++d) sum += x[d]*x[d]; return PetscSqrtReal(sum);}

377: PETSC_INTERN PetscErrorCode DMPlexGetPointDualSpaceFEM(DM,PetscInt,PetscInt,PetscDualSpace *);
378: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPoint_Internal(PetscSection,PetscInt,PetscInt,PetscInt *,PetscBool,const PetscInt[],PetscInt[]);
379: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPointFields_Internal(PetscSection,PetscInt,PetscInt,PetscInt[],PetscBool,const PetscInt***,PetscInt,PetscInt[]);

381: PETSC_EXTERN PetscErrorCode DMSNESGetFEGeom(DMField, IS, PetscQuadrature, PetscBool, PetscFEGeom **);
382: PETSC_EXTERN PetscErrorCode DMSNESRestoreFEGeom(DMField, IS, PetscQuadrature, PetscBool, PetscFEGeom **);
383: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Patch_Internal(DM, PetscSection, PetscSection, IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
384: PETSC_INTERN PetscErrorCode DMCreateSubDomainDM_Plex(DM,DMLabel,PetscInt,IS*,DM*);

386: #endif /* _PLEXIMPL_H */