Actual source code: dmpleximpl.h

  1: #pragma once

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

 10: #if PetscDefined(HAVE_EXODUSII)
 11:   #include <exodusII.h>
 12: #endif

 14: PETSC_INTERN PetscBool  Plexcite;
 15: PETSC_INTERN const char PlexCitation[];

 17: PETSC_EXTERN PetscLogEvent DMPLEX_Interpolate;
 18: PETSC_EXTERN PetscLogEvent DMPLEX_Partition;
 19: PETSC_EXTERN PetscLogEvent DMPLEX_PartSelf;
 20: PETSC_EXTERN PetscLogEvent DMPLEX_PartLabelInvert;
 21: PETSC_EXTERN PetscLogEvent DMPLEX_PartLabelCreateSF;
 22: PETSC_EXTERN PetscLogEvent DMPLEX_PartStratSF;
 23: PETSC_EXTERN PetscLogEvent DMPLEX_CreatePointSF;
 24: PETSC_EXTERN PetscLogEvent DMPLEX_Distribute;
 25: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeMultistage;
 26: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeCones;
 27: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeLabels;
 28: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeSF;
 29: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeOverlap;
 30: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeField;
 31: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeData;
 32: PETSC_EXTERN PetscLogEvent DMPLEX_Migrate;
 33: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolateSF;
 34: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalBegin;
 35: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalEnd;
 36: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalBegin;
 37: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalEnd;
 38: PETSC_EXTERN PetscLogEvent DMPLEX_Stratify;
 39: PETSC_EXTERN PetscLogEvent DMPLEX_Symmetrize;
 40: PETSC_EXTERN PetscLogEvent DMPLEX_Preallocate;
 41: PETSC_EXTERN PetscLogEvent DMPLEX_ResidualFEM;
 42: PETSC_EXTERN PetscLogEvent DMPLEX_JacobianFEM;
 43: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolatorFEM;
 44: PETSC_EXTERN PetscLogEvent DMPLEX_InjectorFEM;
 45: PETSC_EXTERN PetscLogEvent DMPLEX_IntegralFEM;
 46: PETSC_EXTERN PetscLogEvent DMPLEX_CreateGmsh;
 47: PETSC_EXTERN PetscLogEvent DMPLEX_CreateBoxSFC;
 48: PETSC_EXTERN PetscLogEvent DMPLEX_RebalanceSharedPoints;
 49: PETSC_EXTERN PetscLogEvent DMPLEX_CreateFromFile;
 50: PETSC_EXTERN PetscLogEvent DMPLEX_CreateFromOptions;
 51: PETSC_EXTERN PetscLogEvent DMPLEX_BuildFromCellList;
 52: PETSC_EXTERN PetscLogEvent DMPLEX_BuildCoordinatesFromCellList;
 53: PETSC_EXTERN PetscLogEvent DMPLEX_LocatePoints;
 54: PETSC_EXTERN PetscLogEvent DMPLEX_TopologyView;
 55: PETSC_EXTERN PetscLogEvent DMPLEX_DistributionView;
 56: PETSC_EXTERN PetscLogEvent DMPLEX_LabelsView;
 57: PETSC_EXTERN PetscLogEvent DMPLEX_CoordinatesView;
 58: PETSC_EXTERN PetscLogEvent DMPLEX_SectionView;
 59: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalVectorView;
 60: PETSC_EXTERN PetscLogEvent DMPLEX_LocalVectorView;
 61: PETSC_EXTERN PetscLogEvent DMPLEX_TopologyLoad;
 62: PETSC_EXTERN PetscLogEvent DMPLEX_DistributionLoad;
 63: PETSC_EXTERN PetscLogEvent DMPLEX_LabelsLoad;
 64: PETSC_EXTERN PetscLogEvent DMPLEX_CoordinatesLoad;
 65: PETSC_EXTERN PetscLogEvent DMPLEX_SectionLoad;
 66: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalVectorLoad;
 67: PETSC_EXTERN PetscLogEvent DMPLEX_LocalVectorLoad;
 68: PETSC_EXTERN PetscLogEvent DMPLEX_MetricEnforceSPD;
 69: PETSC_EXTERN PetscLogEvent DMPLEX_MetricNormalize;
 70: PETSC_EXTERN PetscLogEvent DMPLEX_MetricAverage;
 71: PETSC_EXTERN PetscLogEvent DMPLEX_MetricIntersection;
 72: PETSC_EXTERN PetscLogEvent DMPLEX_Generate;
 73: PETSC_EXTERN PetscLogEvent DMPLEX_GetLocalOffsets;

 75: PETSC_EXTERN PetscLogEvent DMPLEX_RebalBuildGraph;
 76: PETSC_EXTERN PetscLogEvent DMPLEX_RebalRewriteSF;
 77: PETSC_EXTERN PetscLogEvent DMPLEX_RebalGatherGraph;
 78: PETSC_EXTERN PetscLogEvent DMPLEX_RebalPartition;
 79: PETSC_EXTERN PetscLogEvent DMPLEX_RebalScatterPart;
 80: PETSC_EXTERN PetscLogEvent DMPLEX_Uninterpolate;

 82: struct _n_PetscGridHash {
 83:   PetscInt     dim;
 84:   PetscReal    lower[3];    /* The lower-left corner */
 85:   PetscReal    upper[3];    /* The upper-right corner */
 86:   PetscReal    extent[3];   /* The box size */
 87:   PetscReal    h[3];        /* The subbox size */
 88:   PetscInt     n[3];        /* The number of subboxes */
 89:   PetscSection cellSection; /* Offsets for cells in each subbox*/
 90:   IS           cells;       /* List of cells in each subbox */
 91:   DMLabel      cellsSparse; /* Sparse storage for cell map */
 92: };

 94: typedef struct {
 95:   PetscBool isotropic;               /* Is the metric isotropic? */
 96:   PetscBool uniform;                 /* Is the metric uniform? */
 97:   PetscBool restrictAnisotropyFirst; /* Should anisotropy or normalization come first? */
 98:   PetscBool noInsert;                /* Should node insertion/deletion be turned off? */
 99:   PetscBool noSwap;                  /* Should facet swapping be turned off? */
100:   PetscBool noMove;                  /* Should node movement be turned off? */
101:   PetscBool noSurf;                  /* Should surface modification be turned off? */
102:   PetscReal h_min, h_max;            /* Minimum/maximum tolerated metric magnitudes */
103:   PetscReal a_max;                   /* Maximum tolerated anisotropy */
104:   PetscReal targetComplexity;        /* Target metric complexity */
105:   PetscReal p;                       /* Degree for L-p normalization methods */
106:   PetscReal gradationFactor;         /* Maximum tolerated length ratio for adjacent edges */
107:   PetscReal hausdorffNumber;         /* Max. distance between piecewise linear representation of boundary and reconstructed ideal boundary */
108:   PetscInt  numIter;                 /* Number of ParMmg mesh adaptation iterations */
109:   PetscInt  verbosity;               /* Level of verbosity for remesher (-1 = no output, 10 = maximum) */
110: } DMPlexMetricCtx;

112: /* Point Numbering in Plex:

114:    Points are numbered contiguously by stratum. Strate are organized as follows:

116:    First Stratum:  Cells [height 0]
117:    Second Stratum: Vertices [depth 0]
118:    Third Stratum:  Faces [height 1]
119:    Fourth Stratum: Edges [depth 1]

121:    We do this so that the numbering of a cell-vertex mesh does not change after interpolation. Within a given stratum,
122:    we allow additional segregation of by cell type.
123: */
124: typedef struct {
125:   PetscInt refct;

127:   PetscSection coneSection;      /* Layout of cones (inedges for DAG) */
128:   PetscInt    *cones;            /* Cone for each point */
129:   PetscInt    *coneOrientations; /* Orientation of each cone point, means cone traversal should start on point 'o', and if negative start on -(o+1) and go in reverse */
130:   PetscSection supportSection;   /* Layout of cones (inedges for DAG) */
131:   PetscInt    *supports;         /* Cone for each point */

133:   struct {                  // DMPolytopeType is an enum (usually size 4), but this needs frequent access
134:     uint8_t value_as_uint8; // in a struct to guard for stronger typing
135:   } *cellTypes;

137:   /* Transformation */
138:   DMPlexTransform tr;                                               /* Type of transform used to define an ephemeral mesh */
139:   char           *transformType;                                    /* Type of transform for uniform cell refinement */
140:   PetscBool       refinementUniform;                                /* Flag for uniform cell refinement */
141:   PetscReal       refinementLimit;                                  /* Maximum volume for refined cell */
142:   PetscErrorCode (*refinementFunc)(const PetscReal[], PetscReal *); /* Function giving the maximum volume for refined cell */

144:   /* Interpolation */
145:   DMPlexInterpolatedFlag interpolated;
146:   DMPlexInterpolatedFlag interpolatedCollective;
147:   PetscBool              interpolatePreferTensor; // When different orderings exist, prefer the tensor order

149:   /* Ordering */
150:   DMReorderDefaultFlag reorderDefault; /* Reorder the DM by default */

152:   /* Distribution */
153:   PetscBool distDefault;      /* Distribute the DM by default */
154:   PetscInt  overlap;          /* Overlap of the partitions as passed to DMPlexDistribute() or DMPlexDistributeOverlap() */
155:   PetscInt  numOvLabels;      /* The number of labels used for candidate overlap points */
156:   DMLabel   ovLabels[16];     /* Labels used for candidate overlap points */
157:   PetscInt  ovValues[16];     /* Label values used for candidate overlap points */
158:   PetscInt  numOvExLabels;    /* The number of labels used for exclusion */
159:   DMLabel   ovExLabels[16];   /* Labels used to exclude points from the overlap */
160:   PetscInt  ovExValues[16];   /* Label values used to exclude points from the overlap */
161:   char     *distributionName; /* Name of the specific parallel distribution of the DM */
162:   MPI_Comm  nonempty_comm;    /* Communicator used for visualization when some processes do not have cells */

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

167:   /* Generation */
168:   char            *tetgenOpts;            // COmmand line options for Tetgen
169:   PetscReal        tetgenRadiusEdgeBound; // Maximum tetgen radius-edge ratio
170:   PetscReal        tetgenDihedralBound;   // Minimum tetgen dihedral angle
171:   char            *triangleOpts;          // Comand line options for Triangle
172:   PetscReal        triangleAngBound;      // Minimum triangle angle
173:   PetscPartitioner partitioner;           // Partitioner object
174:   PetscBool        partitionBalance;      // Evenly divide partition overlap when distributing
175:   PetscBool        remeshBd;

177:   /* Submesh */
178:   DMLabel          subpointMap;   /* Label each original mesh point in the submesh with its depth, subpoint are the implicit numbering */
179:   IS               subpointIS;    /* IS holding point number in the enclosing mesh of every point in the submesh chart */
180:   PetscObjectState subpointState; /* The state of subpointMap when the subpointIS was last created */

182:   /* Labels and numbering */
183:   PetscObjectState depthState;    /* State of depth label, so that we can determine if a user changes it */
184:   PetscObjectState celltypeState; /* State of celltype label, so that we can determine if a user changes it */
185:   IS               globalVertexNumbers;
186:   IS               globalCellNumbers;

188:   /* Constraints */
189:   PetscSection anchorSection;          /* maps constrained points to anchor points */
190:   IS           anchorIS;               /* anchors indexed by the above section */
191:   PetscErrorCode (*createanchors)(DM); /* automatically compute anchors (probably from tree constraints) */
192:   PetscErrorCode (*computeanchormatrix)(DM, PetscSection, PetscSection, Mat);

194:   /* Tree: automatically construct constraints for hierarchically non-conforming meshes */
195:   PetscSection parentSection; /* dof == 1 if point has parent */
196:   PetscInt    *parents;       /* point to parent */
197:   PetscInt    *childIDs;      /* point to child ID */
198:   PetscSection childSection;  /* inverse of parent section */
199:   PetscInt    *children;      /* point to children */
200:   DM           referenceTree; /* reference tree to which child ID's refer */
201:   PetscErrorCode (*getchildsymmetry)(DM, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, PetscInt *);

203:   /* MATIS support */
204:   PetscSection subdomainSection;

206:   /* Adjacency */
207:   PetscBool useAnchors;                                                          /* Replace constrained points with their anchors in adjacency lists */
208:   PetscErrorCode (*useradjacency)(DM, PetscInt, PetscInt *, PetscInt[], void *); /* User callback for adjacency */
209:   void *useradjacencyctx;                                                        /* User context for callback */

211:   // Periodicity
212:   struct {
213:     // Specified by the user
214:     PetscInt num_face_sfs;          // number of face_sfs
215:     PetscSF *face_sfs;              // root(donor faces) <-- leaf(local faces)
216:     PetscScalar (*transform)[4][4]; // geometric transform
217:     // Created eagerly (depends on points)
218:     PetscSF composed_sf; // root(non-periodic global points) <-- leaf(local points)
219:     IS     *periodic_points;
220:   } periodic;

222:   /* Projection */
223:   PetscInt maxProjectionHeight; /* maximum height of cells used in DMPlexProject functions */
224:   PetscInt activePoint;         /* current active point in iteration */

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

230:   /* Geometry */
231:   PetscReal     minradius;       /* Minimum distance from cell centroid to face */
232:   PetscBool     useHashLocation; /* Use grid hashing for point location */
233:   PetscGridHash lbox;            /* Local box for searching */
234:   PetscPointFn *coordFunc;       /* Function used to remap newly introduced vertices */

236:   /* Neighbors */
237:   PetscMPIInt *neighbors;

239:   /* Metric */
240:   DMPlexMetricCtx *metricCtx;

242:   /* FEM */
243:   PetscBool useCeed;      /* This should convert to a registration system when there are more FEM backends */
244:   PetscBool useMatClPerm; /* Use the closure permutation when assembling matrices */

246:   /* CAD */
247:   PetscBool ignoreModel; /* If TRUE, Plex refinement will skip Snap-To-Geometry feature ignoring attached CAD geometry information */

249:   // Transforms
250:   PetscBool       saveTransform; // Flag to save transform, if this mesh was produced by a transform
251:   DMPlexTransform transform;     // Transform producing this mesh (note that this will hold on to the original mesh too)

253:   /* Debugging */
254:   PetscBool printSetValues;
255:   PetscInt  printAdj;
256:   PetscInt  printFEM;
257:   PetscInt  printFVM;
258:   PetscInt  printL2;
259:   PetscInt  printOrient;
260:   PetscInt  printLocate;
261:   PetscInt  printProject;
262:   PetscInt  printCohesive;
263:   PetscReal printTol;
264: } DM_Plex;

266: PETSC_INTERN PetscErrorCode DMPlexCopy_Internal(DM, PetscBool, PetscBool, DM);
267: PETSC_INTERN PetscErrorCode DMPlexReplace_Internal(DM, DM *);
268: PETSC_INTERN PetscErrorCode DMPlexCopyEGADSInfo_Internal(DM, DM);

270: PETSC_INTERN PetscErrorCode DMPlexVTKWriteAll_VTU(DM, PetscViewer);
271: PETSC_INTERN PetscErrorCode VecView_Plex_Local(Vec, PetscViewer);
272: PETSC_INTERN PetscErrorCode VecView_Plex_Native(Vec, PetscViewer);
273: PETSC_INTERN PetscErrorCode VecView_Plex(Vec, PetscViewer);
274: PETSC_INTERN PetscErrorCode VecLoad_Plex_Local(Vec, PetscViewer);
275: PETSC_INTERN PetscErrorCode VecLoad_Plex_Native(Vec, PetscViewer);
276: PETSC_INTERN PetscErrorCode VecLoad_Plex(Vec, PetscViewer);
277: PETSC_INTERN PetscErrorCode DMPlexGetFieldType_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt *, PetscViewerVTKFieldType *);
278: PETSC_INTERN PetscErrorCode DMPlexGetFieldTypes_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt **, PetscInt **, PetscViewerVTKFieldType **);
279: PETSC_INTERN PetscErrorCode DMPlexRestoreFieldTypes_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt **, PetscInt **, PetscViewerVTKFieldType **);
280: PETSC_INTERN PetscErrorCode DMPlexView_GLVis(DM, PetscViewer);
281: PETSC_INTERN PetscErrorCode DMSetUpGLVisViewer_Plex(PetscObject, PetscViewer);
282: #if PetscDefined(HAVE_HDF5)
283: PETSC_INTERN PetscErrorCode DMPlexTopologyView_HDF5_Internal(DM, IS, PetscViewer);
284: PETSC_INTERN PetscErrorCode DMPlexCoordinatesView_HDF5_Internal(DM, PetscViewer);
285: PETSC_INTERN PetscErrorCode DMPlexLabelsView_HDF5_Internal(DM, IS, PetscViewer);
286: PETSC_INTERN PetscErrorCode DMPlexSectionView_HDF5_Internal(DM, PetscViewer, DM);
287: PETSC_INTERN PetscErrorCode DMPlexGlobalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
288: PETSC_INTERN PetscErrorCode DMPlexLocalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
289: PETSC_INTERN PetscErrorCode DMPlexTopologyLoad_HDF5_Internal(DM, PetscViewer, PetscSF *);
290: PETSC_INTERN PetscErrorCode DMPlexCoordinatesLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
291: PETSC_INTERN PetscErrorCode DMPlexLabelsLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
292: PETSC_INTERN PetscErrorCode DMPlexSectionLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, PetscSF *, PetscSF *);
293: PETSC_INTERN PetscErrorCode DMPlexVecLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, Vec);
294: PETSC_INTERN PetscErrorCode DMPlexView_HDF5_Internal(DM, PetscViewer);
295: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Internal(DM, PetscViewer);
296: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Xdmf_Internal(DM, PetscViewer);
297: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Internal(Vec, PetscViewer);
298: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Native_Internal(Vec, PetscViewer);
299: PETSC_INTERN PetscErrorCode VecView_Plex_Local_HDF5_Internal(Vec, PetscViewer);
300: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Internal(Vec, PetscViewer);
301: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Native_Internal(Vec, PetscViewer);
302: #endif
303: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_CGNS(Vec, PetscViewer);
304: #if PetscDefined(HAVE_CGNS)
305: PETSC_EXTERN PetscErrorCode VecLoad_Plex_CGNS_Internal(Vec, PetscViewer);
306: #endif

308: PETSC_INTERN PetscErrorCode DMPlexClosurePoints_Private(DM, PetscInt, const PetscInt[], IS *);
309: PETSC_INTERN PetscErrorCode DMSetFromOptions_NonRefinement_Plex(DM, PetscOptionItems);
310: PETSC_INTERN PetscErrorCode DMSetFromOptions_Overlap_Plex(DM, PetscOptionItems, PetscInt *);
311: PETSC_INTERN PetscErrorCode DMCoarsen_Plex(DM, MPI_Comm, DM *);
312: PETSC_INTERN PetscErrorCode DMCoarsenHierarchy_Plex(DM, PetscInt, DM[]);
313: PETSC_INTERN PetscErrorCode DMRefine_Plex(DM, MPI_Comm, DM *);
314: PETSC_INTERN PetscErrorCode DMRefineHierarchy_Plex(DM, PetscInt, DM[]);
315: PETSC_INTERN PetscErrorCode DMAdaptLabel_Plex(DM, Vec, DMLabel, DMLabel, DM *);
316: PETSC_INTERN PetscErrorCode DMExtrude_Plex(DM, PetscInt, DM *);
317: PETSC_INTERN PetscErrorCode DMPlexInsertBoundaryValues_Plex(DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec);
318: PETSC_INTERN PetscErrorCode DMPlexInsertTimeDerivativeBoundaryValues_Plex(DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec);
319: PETSC_INTERN PetscErrorCode DMPlexInsertBounds_Plex(DM, PetscBool, PetscReal, Vec);
320: PETSC_INTERN PetscErrorCode DMProjectFunctionLocal_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
321: 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);
322: 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);
323: 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);
324: PETSC_INTERN PetscErrorCode DMProjectBdFieldLabelLocal_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[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
325: PETSC_INTERN PetscErrorCode DMComputeL2Diff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
326: PETSC_INTERN PetscErrorCode DMComputeL2GradientDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
327: PETSC_INTERN PetscErrorCode DMComputeL2FieldDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
328: PETSC_INTERN PetscErrorCode DMLocatePoints_Plex(DM, Vec, DMPointLocationType, PetscSF);

330: #if PetscDefined(HAVE_EXODUSII)
331: PETSC_INTERN PetscErrorCode DMView_PlexExodusII(DM, PetscViewer);
332: PETSC_INTERN PetscErrorCode VecView_PlexExodusII_Internal(Vec, PetscViewer);
333: PETSC_INTERN PetscErrorCode VecLoad_PlexExodusII_Internal(Vec, PetscViewer);
334: #endif
335: PETSC_INTERN PetscErrorCode DMView_PlexCGNS(DM, PetscViewer);
336: PETSC_INTERN PetscErrorCode DMPlexCreateCGNSFromFile_Internal(MPI_Comm, const char *, PetscBool, DM *);
337: PETSC_INTERN PetscErrorCode DMPlexCreateCGNS_Internal_Serial(MPI_Comm, PetscInt, PetscBool, DM *);
338: PETSC_INTERN PetscErrorCode DMPlexCreateCGNS_Internal_Parallel(MPI_Comm, PetscInt, PetscBool, DM *);
339: PETSC_INTERN PetscErrorCode DMPlexVTKGetCellType_Internal(DM, PetscInt, PetscInt, PetscInt *);
340: PETSC_INTERN PetscErrorCode DMPlexGetAdjacency_Internal(DM, PetscInt, PetscBool, PetscBool, PetscBool, PetscInt *, PetscInt *[]);
341: PETSC_INTERN PetscErrorCode DMPlexGetMaxAdjacencySize_Internal(DM, PetscBool, PetscInt *);
342: PETSC_INTERN PetscErrorCode DMPlexGetRawFaces_Internal(DM, DMPolytopeType, const PetscInt[], PetscInt *, const DMPolytopeType *[], const PetscInt *[], const PetscInt *[]);
343: PETSC_INTERN PetscErrorCode DMPlexRestoreRawFaces_Internal(DM, DMPolytopeType, const PetscInt[], PetscInt *, const DMPolytopeType *[], const PetscInt *[], const PetscInt *[]);
344: PETSC_INTERN PetscErrorCode DMPlexComputeCellType_Internal(DM, PetscInt, PetscInt, DMPolytopeType *);
345: PETSC_INTERN PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM, PetscSection, Vec, PetscBool[], PetscInt, PetscInt, const PetscInt[], DMLabel, PetscInt, const PetscScalar[], InsertMode);
346: PETSC_EXTERN PetscErrorCode DMPlexCreateReferenceTree_SetTree(DM, PetscSection, PetscInt[], PetscInt[]);
347: PETSC_EXTERN PetscErrorCode DMPlexCreateReferenceTree_Union(DM, DM, const char *, DM *);
348: PETSC_EXTERN PetscErrorCode DMPlexComputeInterpolatorTree(DM, DM, PetscSF, PetscInt *, Mat);
349: PETSC_EXTERN PetscErrorCode DMPlexComputeInjectorTree(DM, DM, PetscSF, PetscInt *, Mat);
350: PETSC_INTERN PetscErrorCode DMPlexAnchorsModifyMat(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, const PetscScalar[], PetscInt *, PetscInt *, PetscInt *[], PetscScalar *[], PetscInt[], PetscBool);
351: PETSC_INTERN PetscErrorCode DMPlexAnchorsModifyMat_Internal(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, PetscInt, PetscInt, const PetscScalar[], PetscInt *, PetscInt *, PetscInt *[], PetscScalar *[], PetscInt[], PetscBool, PetscBool);
352: PETSC_INTERN PetscErrorCode DMPlexAnchorsGetSubMatModification(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, PetscInt *, PetscInt *, PetscInt *[], PetscInt[], PetscScalar *[]);
353: PETSC_INTERN PetscErrorCode DMPlexLocatePoint_Internal(DM, PetscInt, const PetscScalar[], PetscInt, PetscInt *);
354: /* this is PETSC_EXTERN just because of src/dm/impls/plex/tests/ex18.c */
355: PETSC_EXTERN PetscErrorCode DMPlexOrientInterface_Internal(DM);
356: PETSC_INTERN PetscErrorCode DMPlexOrientCells_Internal(DM, IS, IS);

358: /* Applications may use this function */
359: PETSC_EXTERN PetscErrorCode DMPlexCreateNumbering_Plex(DM, PetscInt, PetscInt, PetscInt, PetscInt *, PetscSF, IS *);

361: PETSC_INTERN PetscErrorCode DMPlexInterpolateInPlace_Internal(DM);
362: PETSC_INTERN PetscErrorCode DMPlexCreateBoxMesh_Tensor_SFC_Internal(DM, PetscInt, const PetscInt[], const PetscReal[], const PetscReal[], const DMBoundaryType[], PetscBool);
363: PETSC_INTERN PetscErrorCode DMPlexMigrateIsoperiodicFaceSF_Internal(DM, DM, PetscSF);
364: PETSC_INTERN PetscErrorCode DMPlexCurveTypeResolve_Internal(MPI_Comm, DMPlexCurveType, PetscBool *);
365: PETSC_INTERN PetscErrorCode DMPlexGetCellOrderingByCurve_Internal(DM, DMPlexCurveType, PetscInt, PetscInt, PetscInt[]);
366: PETSC_INTERN PetscErrorCode DMPlexCreateVertexNumbering_Internal(DM, PetscBool, IS *);
367: PETSC_INTERN PetscErrorCode DMPlexRefine_Internal(DM, Vec, DMLabel, DMLabel, DM *);
368: PETSC_INTERN PetscErrorCode DMPlexCoarsen_Internal(DM, Vec, DMLabel, DMLabel, DM *);
369: PETSC_INTERN PetscErrorCode DMCreateMatrix_Plex(DM, Mat *);

371: PETSC_INTERN PetscErrorCode DMPlexGetOverlap_Plex(DM, PetscInt *);
372: PETSC_INTERN PetscErrorCode DMPlexSetOverlap_Plex(DM, DM, PetscInt);
373: PETSC_INTERN PetscErrorCode DMPlexDistributeGetDefault_Plex(DM, PetscBool *);
374: PETSC_INTERN PetscErrorCode DMPlexDistributeSetDefault_Plex(DM, PetscBool);
375: PETSC_INTERN PetscErrorCode DMPlexReorderGetDefault_Plex(DM, DMReorderDefaultFlag *);
376: PETSC_INTERN PetscErrorCode DMPlexReorderSetDefault_Plex(DM, DMReorderDefaultFlag);
377: PETSC_INTERN PetscErrorCode DMPlexGetUseCeed_Plex(DM, PetscBool *);
378: PETSC_INTERN PetscErrorCode DMPlexSetUseCeed_Plex(DM, PetscBool);
379: PETSC_INTERN PetscErrorCode DMReorderSectionGetDefault_Plex(DM, DMReorderDefaultFlag *);
380: PETSC_INTERN PetscErrorCode DMReorderSectionSetDefault_Plex(DM, DMReorderDefaultFlag);
381: PETSC_INTERN PetscErrorCode DMReorderSectionGetType_Plex(DM, MatOrderingType *);
382: PETSC_INTERN PetscErrorCode DMReorderSectionSetType_Plex(DM, MatOrderingType);

384: #if 1
385: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
386: {
387:   return (a <= 0) ? a : (N - a);
388: }

390: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
391: {
392:   if (!N) return 0;
393:   return (a >= 0) ? ((b >= 0) ? ((a + b) % N) : -(((a - b - 1) % N) + 1)) : ((b >= 0) ? -(((N - b - a - 1) % N) + 1) : ((N + b - a) % N));
394: }

396: static inline PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
397: {
398:   return DihedralCompose(N, DihedralInvert(N, a), b);
399: }
400: #else
401: /* TODO
402:    This is a reimplementation of the tensor dihedral symmetries using the new orientations.
403:    These should be turned on when we convert to new-style orientations in p4est.
404: */
405: /* invert dihedral symmetry: return a^-1,
406:  * using the representation described in
407:  * DMPlexGetConeOrientation() */
408: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
409: {
410:   switch (N) {
411:   case 0:
412:     return 0;
413:   case 2:
414:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, 0, a);
415:   case 4:
416:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, 0, a);
417:   case 8:
418:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, 0, a);
419:   default:
420:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralInvert()");
421:   }
422:   return 0;
423: }

425: /* compose dihedral symmetry: return b * a,
426:  * using the representation described in
427:  * DMPlexGetConeOrientation() */
428: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
429: {
430:   switch (N) {
431:   case 0:
432:     return 0;
433:   case 2:
434:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, b, a);
435:   case 4:
436:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, b, a);
437:   case 8:
438:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, b, a);
439:   default:
440:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralCompose()");
441:   }
442:   return 0;
443: }

445: /* swap dihedral symmetries: return b * a^-1,
446:  * using the representation described in
447:  * DMPlexGetConeOrientation() */
448: static inline PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
449: {
450:   switch (N) {
451:   case 0:
452:     return 0;
453:   case 2:
454:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, b, a);
455:   case 4:
456:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, b, a);
457:   case 8:
458:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, b, a);
459:   default:
460:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralCompose()");
461:   }
462:   return 0;
463: }
464: #endif
465: PETSC_INTERN PetscInt       DMPolytopeConvertNewOrientation_Internal(DMPolytopeType, PetscInt);
466: PETSC_INTERN PetscInt       DMPolytopeConvertOldOrientation_Internal(DMPolytopeType, PetscInt);
467: PETSC_INTERN PetscErrorCode DMPlexConvertOldOrientations_Internal(DM);

469: PETSC_SINGLE_LIBRARY_VISIBILITY_INTERNAL PetscErrorCode DMPlexComputeIntegral_Internal(DM, Vec, PetscInt, PetscInt, PetscScalar *, void *);
470: PETSC_INTERN PetscErrorCode                             DMPlexReconstructGradients_Internal(DM, PetscFV, PetscInt, PetscInt, Vec, Vec, Vec, Vec);

472: /* Matvec with A in row-major storage, x and y can be aliased */
473: static inline void DMPlex_Mult2D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
474: {
475:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
476:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1];
477:   y[1 * ldx]             = A[2] * z[0] + A[3] * z[1];
478:   (void)PetscLogFlops(6.0);
479: }
480: static inline void DMPlex_Mult3D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
481: {
482:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
483:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
484:   y[1 * ldx]             = A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
485:   y[2 * ldx]             = A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
486:   (void)PetscLogFlops(15.0);
487: }
488: static inline void DMPlex_MultTranspose2D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
489: {
490:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
491:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
492:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
493:   (void)PetscLogFlops(6.0);
494: }
495: static inline void DMPlex_MultTranspose3D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
496: {
497:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
498:   y[0 * ldx]             = PetscConj(A[0]) * z[0] + PetscConj(A[3]) * z[1] + PetscConj(A[6]) * z[2];
499:   y[1 * ldx]             = PetscConj(A[1]) * z[0] + PetscConj(A[4]) * z[1] + PetscConj(A[7]) * z[2];
500:   y[2 * ldx]             = PetscConj(A[2]) * z[0] + PetscConj(A[5]) * z[1] + PetscConj(A[8]) * z[2];
501:   (void)PetscLogFlops(15.0);
502: }
503: static inline void DMPlex_Mult2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
504: {
505:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
506:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1];
507:   y[1 * ldx]             = A[2] * z[0] + A[3] * z[1];
508:   (void)PetscLogFlops(6.0);
509: }
510: static inline void DMPlex_Mult3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
511: {
512:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
513:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
514:   y[1 * ldx]             = A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
515:   y[2 * ldx]             = A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
516:   (void)PetscLogFlops(15.0);
517: }
518: static inline void DMPlex_MultAdd2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
519: {
520:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
521:   y[0 * ldx] += A[0] * z[0] + A[1] * z[1];
522:   y[1 * ldx] += A[2] * z[0] + A[3] * z[1];
523:   (void)PetscLogFlops(6.0);
524: }
525: static inline void DMPlex_MultAdd3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
526: {
527:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
528:   y[0 * ldx] += A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
529:   y[1 * ldx] += A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
530:   y[2 * ldx] += A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
531:   (void)PetscLogFlops(15.0);
532: }
533: /*
534:   A: packed, row-major m x n array
535:   x: length m array
536:   y: length n arra
537:   ldx: the stride in x and y

539:   A[i,j] = A[i * n + j]
540:   A^T[j,i] = A[i,j]
541: */
542: static inline void DMPlex_MultTransposeReal_Internal(const PetscReal A[], PetscInt m, PetscInt n, PetscInt ldx, const PetscScalar x[], PetscScalar y[])
543: {
544:   PetscScalar z[3];
545:   PetscInt    i, j;
546:   for (i = 0; i < m; ++i) z[i] = x[i * ldx];
547:   for (j = 0; j < n; ++j) {
548:     const PetscInt l = j * ldx;
549:     y[l]             = 0;
550:     for (i = 0; i < m; ++i) y[l] += A[i * n + j] * z[i];
551:   }
552:   (void)PetscLogFlops(2 * m * n);
553: }
554: static inline void DMPlex_MultTranspose2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
555: {
556:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
557:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
558:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
559:   (void)PetscLogFlops(6.0);
560: }
561: static inline void DMPlex_MultTranspose3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
562: {
563:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
564:   y[0 * ldx]             = A[0] * z[0] + A[3] * z[1] + A[6] * z[2];
565:   y[1 * ldx]             = A[1] * z[0] + A[4] * z[1] + A[7] * z[2];
566:   y[2 * ldx]             = A[2] * z[0] + A[5] * z[1] + A[8] * z[2];
567:   (void)PetscLogFlops(15.0);
568: }

570: static inline void DMPlex_MatMult2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
571: {
572: #define PLEX_DIM__ 2
573:   PetscScalar z[PLEX_DIM__];
574:   for (PetscInt j = 0; j < n; ++j) {
575:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
576:     DMPlex_Mult2D_Internal(A, 1, z, z);
577:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
578:   }
579:   (void)PetscLogFlops(8.0 * n);
580: #undef PLEX_DIM__
581: }
582: static inline void DMPlex_MatMult3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
583: {
584: #define PLEX_DIM__ 3
585:   PetscScalar z[PLEX_DIM__];
586:   for (PetscInt j = 0; j < n; ++j) {
587:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
588:     DMPlex_Mult3D_Internal(A, 1, z, z);
589:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
590:   }
591:   (void)PetscLogFlops(8.0 * n);
592: #undef PLEX_DIM__
593: }
594: static inline void DMPlex_MatMultTranspose2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
595: {
596: #define PLEX_DIM__ 2
597:   PetscScalar z[PLEX_DIM__];
598:   for (PetscInt j = 0; j < n; ++j) {
599:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
600:     DMPlex_MultTranspose2D_Internal(A, 1, z, z);
601:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
602:   }
603:   (void)PetscLogFlops(8.0 * n);
604: #undef PLEX_DIM__
605: }
606: static inline void DMPlex_MatMultTranspose3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
607: {
608: #define PLEX_DIM__ 3
609:   PetscScalar z[PLEX_DIM__];
610:   for (PetscInt j = 0; j < n; ++j) {
611:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
612:     DMPlex_MultTranspose3D_Internal(A, 1, z, z);
613:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
614:   }
615:   (void)PetscLogFlops(8.0 * n);
616: #undef PLEX_DIM__
617: }

619: static inline void DMPlex_MatMultLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
620: {
621:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
622:   (void)PetscLogFlops(8.0 * m);
623: }
624: static inline void DMPlex_MatMultLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
625: {
626:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
627:   (void)PetscLogFlops(8.0 * m);
628: }
629: static inline void DMPlex_MatMultTransposeLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
630: {
631:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
632:   (void)PetscLogFlops(8.0 * m);
633: }
634: static inline void DMPlex_MatMultTransposeLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
635: {
636:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
637:   (void)PetscLogFlops(8.0 * m);
638: }

640: static inline void DMPlex_PTAP2DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
641: {
642:   PetscScalar out[4];
643:   PetscInt    i, j, k, l;
644:   for (i = 0; i < 2; ++i) {
645:     for (j = 0; j < 2; ++j) {
646:       out[i * 2 + j] = 0.;
647:       for (k = 0; k < 2; ++k) {
648:         for (l = 0; l < 2; ++l) out[i * 2 + j] += P[k * 2 + i] * A[k * 2 + l] * P[l * 2 + j];
649:       }
650:     }
651:   }
652:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
653:   (void)PetscLogFlops(48.0);
654: }
655: static inline void DMPlex_PTAP3DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
656: {
657:   PetscScalar out[9];
658:   PetscInt    i, j, k, l;
659:   for (i = 0; i < 3; ++i) {
660:     for (j = 0; j < 3; ++j) {
661:       out[i * 3 + j] = 0.;
662:       for (k = 0; k < 3; ++k) {
663:         for (l = 0; l < 3; ++l) out[i * 3 + j] += P[k * 3 + i] * A[k * 3 + l] * P[l * 3 + j];
664:       }
665:     }
666:   }
667:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
668:   (void)PetscLogFlops(243.0);
669: }
670: /* TODO Fix for aliasing of A and C */
671: static inline void DMPlex_PTAPReal_Internal(const PetscReal P[], PetscInt m, PetscInt n, const PetscScalar A[], PetscScalar C[])
672: {
673:   PetscInt i, j, k, l;
674:   for (i = 0; i < n; ++i) {
675:     for (j = 0; j < n; ++j) {
676:       C[i * n + j] = 0.;
677:       for (k = 0; k < m; ++k) {
678:         for (l = 0; l < m; ++l) C[i * n + j] += P[k * n + i] * A[k * m + l] * P[l * n + j];
679:       }
680:     }
681:   }
682:   (void)PetscLogFlops(243.0);
683: }

685: static inline void DMPlex_Transpose2D_Internal(PetscScalar A[])
686: {
687:   PetscScalar tmp;
688:   tmp  = A[1];
689:   A[1] = A[2];
690:   A[2] = tmp;
691: }
692: static inline void DMPlex_Transpose3D_Internal(PetscScalar A[])
693: {
694:   PetscScalar tmp;
695:   tmp  = A[1];
696:   A[1] = A[3];
697:   A[3] = tmp;
698:   tmp  = A[2];
699:   A[2] = A[6];
700:   A[6] = tmp;
701:   tmp  = A[5];
702:   A[5] = A[7];
703:   A[7] = tmp;
704: }

706: static inline void DMPlex_Invert2D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
707: {
708:   // Allow zero volume cells
709:   const PetscReal invDet = detJ == 0 ? 1.0 : (PetscReal)1.0 / detJ;

711:   invJ[0] = invDet * J[3];
712:   invJ[1] = -invDet * J[1];
713:   invJ[2] = -invDet * J[2];
714:   invJ[3] = invDet * J[0];
715:   (void)PetscLogFlops(5.0);
716: }

718: static inline void DMPlex_Invert3D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
719: {
720:   // Allow zero volume cells
721:   const PetscReal invDet = detJ == 0 ? 1.0 : (PetscReal)1.0 / detJ;

723:   invJ[0 * 3 + 0] = invDet * (J[1 * 3 + 1] * J[2 * 3 + 2] - J[1 * 3 + 2] * J[2 * 3 + 1]);
724:   invJ[0 * 3 + 1] = invDet * (J[0 * 3 + 2] * J[2 * 3 + 1] - J[0 * 3 + 1] * J[2 * 3 + 2]);
725:   invJ[0 * 3 + 2] = invDet * (J[0 * 3 + 1] * J[1 * 3 + 2] - J[0 * 3 + 2] * J[1 * 3 + 1]);
726:   invJ[1 * 3 + 0] = invDet * (J[1 * 3 + 2] * J[2 * 3 + 0] - J[1 * 3 + 0] * J[2 * 3 + 2]);
727:   invJ[1 * 3 + 1] = invDet * (J[0 * 3 + 0] * J[2 * 3 + 2] - J[0 * 3 + 2] * J[2 * 3 + 0]);
728:   invJ[1 * 3 + 2] = invDet * (J[0 * 3 + 2] * J[1 * 3 + 0] - J[0 * 3 + 0] * J[1 * 3 + 2]);
729:   invJ[2 * 3 + 0] = invDet * (J[1 * 3 + 0] * J[2 * 3 + 1] - J[1 * 3 + 1] * J[2 * 3 + 0]);
730:   invJ[2 * 3 + 1] = invDet * (J[0 * 3 + 1] * J[2 * 3 + 0] - J[0 * 3 + 0] * J[2 * 3 + 1]);
731:   invJ[2 * 3 + 2] = invDet * (J[0 * 3 + 0] * J[1 * 3 + 1] - J[0 * 3 + 1] * J[1 * 3 + 0]);
732:   (void)PetscLogFlops(37.0);
733: }

735: static inline void DMPlex_Det2D_Internal(PetscReal *detJ, const PetscReal J[])
736: {
737:   *detJ = J[0] * J[3] - J[1] * J[2];
738:   (void)PetscLogFlops(3.0);
739: }

741: static inline void DMPlex_Det3D_Internal(PetscReal *detJ, const PetscReal J[])
742: {
743:   *detJ = (J[0 * 3 + 0] * (J[1 * 3 + 1] * J[2 * 3 + 2] - J[1 * 3 + 2] * J[2 * 3 + 1]) + J[0 * 3 + 1] * (J[1 * 3 + 2] * J[2 * 3 + 0] - J[1 * 3 + 0] * J[2 * 3 + 2]) + J[0 * 3 + 2] * (J[1 * 3 + 0] * J[2 * 3 + 1] - J[1 * 3 + 1] * J[2 * 3 + 0]));
744:   (void)PetscLogFlops(12.0);
745: }

747: static inline void DMPlex_Det2D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
748: {
749:   *detJ = PetscRealPart(J[0]) * PetscRealPart(J[3]) - PetscRealPart(J[1]) * PetscRealPart(J[2]);
750:   (void)PetscLogFlops(3.0);
751: }

753: static inline void DMPlex_Det3D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
754: {
755:   *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])) + 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])) + 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])));
756:   (void)PetscLogFlops(12.0);
757: }

759: static inline void DMPlex_WaxpyD_Internal(PetscInt dim, PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w)
760: {
761:   PetscInt d;
762:   for (d = 0; d < dim; ++d) w[d] = a * x[d] + y[d];
763: }

765: static inline PetscReal DMPlex_DotD_Internal(PetscInt dim, const PetscScalar *x, const PetscReal *y)
766: {
767:   PetscReal sum = 0.0;
768:   PetscInt  d;
769:   for (d = 0; d < dim; ++d) sum += PetscRealPart(x[d]) * y[d];
770:   return sum;
771: }

773: static inline PetscReal DMPlex_DotRealD_Internal(PetscInt dim, const PetscReal *x, const PetscReal *y)
774: {
775:   PetscReal sum = 0.0;
776:   PetscInt  d;
777:   for (d = 0; d < dim; ++d) sum += x[d] * y[d];
778:   return sum;
779: }

781: static inline PetscReal DMPlex_NormD_Internal(PetscInt dim, const PetscReal *x)
782: {
783:   PetscReal sum = 0.0;
784:   PetscInt  d;
785:   for (d = 0; d < dim; ++d) sum += x[d] * x[d];
786:   return PetscSqrtReal(sum);
787: }

789: static inline PetscReal DMPlex_DistD_Internal(PetscInt dim, const PetscScalar *x, const PetscScalar *y)
790: {
791:   PetscReal sum = 0.0;
792:   PetscInt  d;
793:   for (d = 0; d < dim; ++d) sum += PetscRealPart(PetscConj(x[d] - y[d]) * (x[d] - y[d]));
794:   return PetscSqrtReal(sum);
795: }

797: static inline PetscReal DMPlex_DistRealD_Internal(PetscInt dim, const PetscReal *x, const PetscReal *y)
798: {
799:   PetscReal sum = 0.0;
800:   PetscInt  d;
801:   for (d = 0; d < dim; ++d) sum += (x[d] - y[d]) * (x[d] - y[d]);
802:   return PetscSqrtReal(sum);
803: }

805: PETSC_INTERN PetscErrorCode DMPlexGetPointDualSpaceFEM(DM, PetscInt, PetscInt, PetscDualSpace *);
806: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPoint_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt *, PetscBool, const PetscInt[], const PetscInt[], PetscInt[]);
807: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPointFields_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt[], PetscBool, const PetscInt ***, PetscInt, const PetscInt[], PetscInt[]);
808: PETSC_INTERN PetscErrorCode DMPlexGetTransitiveClosure_Internal(DM, PetscInt, PetscInt, PetscBool, PetscInt *, PetscInt *[]);
809: PETSC_INTERN PetscErrorCode DMPlexMatSetClosure_Internal(DM, PetscSection, PetscSection, PetscBool, Mat, PetscInt, const PetscScalar[], InsertMode);

811: PETSC_SINGLE_LIBRARY_VISIBILITY_INTERNAL PetscErrorCode DMPlexGetAllCells_Internal(DM, IS *);
812: PETSC_INTERN PetscErrorCode                             DMPlexGetAllFaces_Internal(DM, IS *);
813: PETSC_EXTERN PetscErrorCode                             DMSNESGetFEGeom(DMField, IS, PetscQuadrature, PetscFEGeomMode, PetscFEGeom **);
814: PETSC_EXTERN PetscErrorCode                             DMSNESRestoreFEGeom(DMField, IS, PetscQuadrature, PetscBool, PetscFEGeom **);
815: PETSC_SINGLE_LIBRARY_VISIBILITY_INTERNAL PetscErrorCode DMPlexComputeResidual_Patch_Internal(DM, PetscSection, IS, PetscReal, Vec, Vec, Vec, void *);
816: PETSC_SINGLE_LIBRARY_VISIBILITY_INTERNAL PetscErrorCode DMPlexComputeJacobian_Patch_Internal(DM, PetscSection, PetscSection, IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
817: PETSC_INTERN PetscErrorCode                             DMCreateSubDomainDM_Plex(DM, DMLabel, PetscInt, IS *, DM *);
818: PETSC_INTERN PetscErrorCode                             DMPlexBasisTransformPoint_Internal(DM, DM, Vec, PetscInt, PetscBool[], PetscBool, PetscScalar *);
819: PETSC_INTERN PetscErrorCode                             DMPlexBasisTransformPointTensor_Internal(DM, DM, Vec, PetscInt, PetscBool, PetscInt, PetscScalar *);
820: PETSC_INTERN PetscErrorCode                             DMPlexBasisTransformApplyReal_Internal(DM, const PetscReal[], PetscBool, PetscInt, const PetscReal *, PetscReal *, void *);
821: PETSC_INTERN PetscErrorCode                             DMPlexBasisTransformApply_Internal(DM, const PetscReal[], PetscBool, PetscInt, const PetscScalar *, PetscScalar *, void *);
822: PETSC_INTERN PetscErrorCode                             DMCreateNeumannOverlap_Plex(DM, IS *, Mat *, PetscErrorCode (**)(Mat, PetscReal, Vec, Vec, PetscReal, IS, void *), void **);
823: PETSC_INTERN PetscErrorCode                             DMPlexMarkBoundaryFaces_Internal(DM, PetscInt, PetscInt, DMLabel, PetscBool);
824: PETSC_INTERN PetscErrorCode                             DMPlexDistributeOverlap_Internal(DM, PetscInt, MPI_Comm, const char *, PetscSF *, DM *);

826: PETSC_INTERN PetscErrorCode DMPlexInterpolateFaces_Internal(DM, PetscInt, DM);

828: PETSC_INTERN PetscErrorCode DMPlexMarkSubmesh_Interpolated(DM, DMLabel, PetscInt, PetscBool, PetscBool, DMLabel, DM);

830: PETSC_INTERN PetscErrorCode DMPeriodicCoordinateSetUp_Internal(DM);

832: /* Functions in the vtable */
833: PETSC_INTERN PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling);
834: PETSC_INTERN PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat);
835: PETSC_INTERN PetscErrorCode DMCreateMassMatrix_Plex(DM dmCoarse, DM dmFine, Mat *mat);
836: PETSC_INTERN PetscErrorCode DMCreateMassMatrixLumped_Plex(DM, Vec *, Vec *);
837: PETSC_INTERN PetscErrorCode DMCreateGradientMatrix_Plex(DM dmCoarse, DM dmFine, Mat *mat);
838: PETSC_INTERN PetscErrorCode DMCreateLocalSection_Plex(DM dm);
839: PETSC_INTERN PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm);
840: PETSC_INTERN PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J);
841: PETSC_INTERN PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm);
842: PETSC_INTERN PetscErrorCode DMCreateCellCoordinateDM_Plex(DM dm, DM *cdm);
843: PETSC_INTERN PetscErrorCode DMCreateCoordinateField_Plex(DM dm, DMField *field);
844: PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm);
845: PETSC_INTERN PetscErrorCode DMSetUp_Plex(DM dm);
846: PETSC_INTERN PetscErrorCode DMDestroy_Plex(DM dm);
847: PETSC_INTERN PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer);
848: PETSC_INTERN PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer);
849: PETSC_INTERN PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm);
850: PETSC_INTERN PetscErrorCode DMCreateSuperDM_Plex(DM dms[], PetscInt len, IS **is, DM *superdm);
851: PETSC_INTERN PetscErrorCode DMCreateDomainDecompositionScatters_Plex(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);
852: PETSC_INTERN PetscErrorCode DMCreateDomainDecomposition_Plex(DM, PetscInt *, char ***, IS **, IS **, DM **);
853: PETSC_INTERN PetscErrorCode DMCreateSectionPermutation_Plex(DM dm, IS *permutation, PetscBT *blockStarts);
854: PETSC_INTERN PetscErrorCode DMPlexCellUnsplitVertices_Internal(DM, PetscInt, DMPolytopeType, PetscInt *);

856: // Coordinate mapping functions
857: PETSC_INTERN void coordMap_identity(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[]);
858: PETSC_INTERN void coordMap_rotate(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[]);
859: PETSC_INTERN void coordMap_shear(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[]);
860: PETSC_INTERN void coordMap_flare(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[]);
861: PETSC_INTERN void coordMap_annulus(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[]);
862: PETSC_INTERN void coordMap_shell(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[]);
863: PETSC_INTERN void coordMap_sinusoid(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[]);
864: PETSC_INTERN void coordMap_torus(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[]);

866: PETSC_INTERN PetscErrorCode DMSnapToGeomModel_EGADS(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);

868: // FIXME: DM with Attached CAD Models (STEP, IGES, BRep, EGADS, EGADSlite)

870: // Coordinate <-> Reference mapping functions
871: PETSC_INTERN PetscErrorCode DMPlexCoordinatesToReference_FE(DM, PetscFE, PetscInt, PetscInt, const PetscReal[], PetscReal[], Vec, PetscInt, PetscInt, PetscInt, PetscReal *);
872: PETSC_INTERN PetscErrorCode DMPlexReferenceToCoordinates_FE(DM, PetscFE, PetscInt, PetscInt, const PetscReal[], PetscReal[], Vec, PetscInt, PetscInt);