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 defined(PETSC_HAVE_EXODUSII)
 11:   #include <exodusII.h>
 12: #endif

 14: PETSC_EXTERN PetscBool  Plexcite;
 15: PETSC_EXTERN 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_DistributeCones;
 26: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeLabels;
 27: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeSF;
 28: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeOverlap;
 29: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeField;
 30: PETSC_EXTERN PetscLogEvent DMPLEX_DistributeData;
 31: PETSC_EXTERN PetscLogEvent DMPLEX_Migrate;
 32: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolateSF;
 33: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalBegin;
 34: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalToNaturalEnd;
 35: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalBegin;
 36: PETSC_EXTERN PetscLogEvent DMPLEX_NaturalToGlobalEnd;
 37: PETSC_EXTERN PetscLogEvent DMPLEX_Stratify;
 38: PETSC_EXTERN PetscLogEvent DMPLEX_Symmetrize;
 39: PETSC_EXTERN PetscLogEvent DMPLEX_Preallocate;
 40: PETSC_EXTERN PetscLogEvent DMPLEX_ResidualFEM;
 41: PETSC_EXTERN PetscLogEvent DMPLEX_JacobianFEM;
 42: PETSC_EXTERN PetscLogEvent DMPLEX_InterpolatorFEM;
 43: PETSC_EXTERN PetscLogEvent DMPLEX_InjectorFEM;
 44: PETSC_EXTERN PetscLogEvent DMPLEX_IntegralFEM;
 45: PETSC_EXTERN PetscLogEvent DMPLEX_CreateGmsh;
 46: PETSC_EXTERN PetscLogEvent DMPLEX_RebalanceSharedPoints;
 47: PETSC_EXTERN PetscLogEvent DMPLEX_CreateFromFile;
 48: PETSC_EXTERN PetscLogEvent DMPLEX_CreateFromOptions;
 49: PETSC_EXTERN PetscLogEvent DMPLEX_BuildFromCellList;
 50: PETSC_EXTERN PetscLogEvent DMPLEX_BuildCoordinatesFromCellList;
 51: PETSC_EXTERN PetscLogEvent DMPLEX_LocatePoints;
 52: PETSC_EXTERN PetscLogEvent DMPLEX_TopologyView;
 53: PETSC_EXTERN PetscLogEvent DMPLEX_DistributionView;
 54: PETSC_EXTERN PetscLogEvent DMPLEX_LabelsView;
 55: PETSC_EXTERN PetscLogEvent DMPLEX_CoordinatesView;
 56: PETSC_EXTERN PetscLogEvent DMPLEX_SectionView;
 57: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalVectorView;
 58: PETSC_EXTERN PetscLogEvent DMPLEX_LocalVectorView;
 59: PETSC_EXTERN PetscLogEvent DMPLEX_TopologyLoad;
 60: PETSC_EXTERN PetscLogEvent DMPLEX_DistributionLoad;
 61: PETSC_EXTERN PetscLogEvent DMPLEX_LabelsLoad;
 62: PETSC_EXTERN PetscLogEvent DMPLEX_CoordinatesLoad;
 63: PETSC_EXTERN PetscLogEvent DMPLEX_SectionLoad;
 64: PETSC_EXTERN PetscLogEvent DMPLEX_GlobalVectorLoad;
 65: PETSC_EXTERN PetscLogEvent DMPLEX_LocalVectorLoad;
 66: PETSC_EXTERN PetscLogEvent DMPLEX_MetricEnforceSPD;
 67: PETSC_EXTERN PetscLogEvent DMPLEX_MetricNormalize;
 68: PETSC_EXTERN PetscLogEvent DMPLEX_MetricAverage;
 69: PETSC_EXTERN PetscLogEvent DMPLEX_MetricIntersection;
 70: PETSC_EXTERN PetscLogEvent DMPLEX_Generate;
 71: PETSC_EXTERN PetscLogEvent DMPLEX_Transform;
 72: PETSC_EXTERN PetscLogEvent DMPLEX_GetLocalOffsets;

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

 81: /* Utility struct to store the contents of a Fluent file in memory */
 82: typedef struct {
 83:   int          index; /* Type of section */
 84:   unsigned int zoneID;
 85:   unsigned int first;
 86:   unsigned int last;
 87:   int          type;
 88:   int          nd; /* Either ND or element-type */
 89:   void        *data;
 90: } FluentSection;

 92: struct _PetscGridHash {
 93:   PetscInt     dim;
 94:   PetscReal    lower[3];    /* The lower-left corner */
 95:   PetscReal    upper[3];    /* The upper-right corner */
 96:   PetscReal    extent[3];   /* The box size */
 97:   PetscReal    h[3];        /* The subbox size */
 98:   PetscInt     n[3];        /* The number of subboxes */
 99:   PetscSection cellSection; /* Offsets for cells in each subbox*/
100:   IS           cells;       /* List of cells in each subbox */
101:   DMLabel      cellsSparse; /* Sparse storage for cell map */
102: };

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

122: /* Point Numbering in Plex:

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

126:    First Stratum:  Cells [height 0]
127:    Second Stratum: Vertices [depth 0]
128:    Third Stratum:  Faces [height 1]
129:    Fourth Stratum: Edges [depth 1]

131:    We do this so that the numbering of a cell-vertex mesh does not change after interpolation. Within a given stratum,
132:    we allow additional segregation of by cell type.
133: */
134: typedef struct {
135:   PetscInt refct;

137:   PetscSection coneSection;      /* Layout of cones (inedges for DAG) */
138:   PetscInt    *cones;            /* Cone for each point */
139:   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 */
140:   PetscSection supportSection;   /* Layout of cones (inedges for DAG) */
141:   PetscInt    *supports;         /* Cone for each point */

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

147:   /* Transformation */
148:   DMPlexTransform tr;                                               /* Type of transform used to define an ephemeral mesh */
149:   char           *transformType;                                    /* Type of transform for uniform cell refinement */
150:   PetscBool       refinementUniform;                                /* Flag for uniform cell refinement */
151:   PetscReal       refinementLimit;                                  /* Maximum volume for refined cell */
152:   PetscErrorCode (*refinementFunc)(const PetscReal[], PetscReal *); /* Function giving the maximum volume for refined cell */

154:   /* Interpolation */
155:   DMPlexInterpolatedFlag interpolated;
156:   DMPlexInterpolatedFlag interpolatedCollective;

158:   /* Ordering */
159:   DMReorderDefaultFlag reorderDefault; /* Reorder the DM by default */

161:   /* Distribution */
162:   PetscBool distDefault;      /* Distribute the DM by default */
163:   PetscInt  overlap;          /* Overlap of the partitions as passed to DMPlexDistribute() or DMPlexDistributeOverlap() */
164:   PetscInt  numOvLabels;      /* The number of labels used for candidate overlap points */
165:   DMLabel   ovLabels[16];     /* Labels used for candidate overlap points */
166:   PetscInt  ovValues[16];     /* Label values used for candidate overlap points */
167:   PetscInt  numOvExLabels;    /* The number of labels used for exclusion */
168:   DMLabel   ovExLabels[16];   /* Labels used to exclude points from the overlap */
169:   PetscInt  ovExValues[16];   /* Label values used to exclude points from the overlap */
170:   char     *distributionName; /* Name of the specific parallel distribution of the DM */

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

175:   /* Generation */
176:   char            *tetgenOpts;
177:   char            *triangleOpts;
178:   PetscPartitioner partitioner;
179:   PetscBool        partitionBalance; /* Evenly divide partition overlap when distributing */
180:   PetscBool        remeshBd;

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

187:   /* Labels and numbering */
188:   PetscObjectState depthState;    /* State of depth label, so that we can determine if a user changes it */
189:   PetscObjectState celltypeState; /* State of celltype label, so that we can determine if a user changes it */
190:   IS               globalVertexNumbers;
191:   IS               globalCellNumbers;

193:   /* Constraints */
194:   PetscSection anchorSection;          /* maps constrained points to anchor points */
195:   IS           anchorIS;               /* anchors indexed by the above section */
196:   PetscErrorCode (*createanchors)(DM); /* automatically compute anchors (probably from tree constraints) */
197:   PetscErrorCode (*computeanchormatrix)(DM, PetscSection, PetscSection, Mat);

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

208:   /* MATIS support */
209:   PetscSection subdomainSection;

211:   /* Adjacency */
212:   PetscBool useAnchors;                                                          /* Replace constrained points with their anchors in adjacency lists */
213:   PetscErrorCode (*useradjacency)(DM, PetscInt, PetscInt *, PetscInt[], void *); /* User callback for adjacency */
214:   void *useradjacencyctx;                                                        /* User context for callback */

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

227:   /* Projection */
228:   PetscInt maxProjectionHeight; /* maximum height of cells used in DMPlexProject functions */
229:   PetscInt activePoint;         /* current active point in iteration */

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

235:   /* Geometry */
236:   PetscReal     minradius;                        /* Minimum distance from cell centroid to face */
237:   PetscBool     useHashLocation;                  /* Use grid hashing for point location */
238:   PetscGridHash lbox;                             /* Local box for searching */
239:   void (*coordFunc)(PetscInt, PetscInt, PetscInt, /* Function used to remap newly introduced vertices */
240:                     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[]);

242:   /* Neighbors */
243:   PetscMPIInt *neighbors;

245:   /* Metric */
246:   DMPlexMetricCtx *metricCtx;

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

252:   /* Debugging */
253:   PetscBool printSetValues;
254:   PetscInt  printFEM;
255:   PetscInt  printFVM;
256:   PetscInt  printL2;
257:   PetscInt  printLocate;
258:   PetscReal printTol;
259: } DM_Plex;

261: PETSC_INTERN PetscErrorCode DMPlexCopy_Internal(DM, PetscBool, PetscBool, DM);
262: PETSC_INTERN PetscErrorCode DMPlexReplace_Internal(DM, DM *);

264: PETSC_EXTERN PetscErrorCode DMPlexVTKWriteAll_VTU(DM, PetscViewer);
265: PETSC_EXTERN PetscErrorCode VecView_Plex_Local(Vec, PetscViewer);
266: PETSC_EXTERN PetscErrorCode VecView_Plex_Native(Vec, PetscViewer);
267: PETSC_EXTERN PetscErrorCode VecView_Plex(Vec, PetscViewer);
268: PETSC_EXTERN PetscErrorCode VecLoad_Plex_Local(Vec, PetscViewer);
269: PETSC_EXTERN PetscErrorCode VecLoad_Plex_Native(Vec, PetscViewer);
270: PETSC_EXTERN PetscErrorCode VecLoad_Plex(Vec, PetscViewer);
271: PETSC_INTERN PetscErrorCode DMPlexGetFieldTypes_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt **, PetscInt **, PetscViewerVTKFieldType **);
272: PETSC_INTERN PetscErrorCode DMPlexRestoreFieldTypes_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt **, PetscInt **, PetscViewerVTKFieldType **);
273: PETSC_INTERN PetscErrorCode DMPlexGetFieldType_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt *, PetscViewerVTKFieldType *);
274: PETSC_INTERN PetscErrorCode DMPlexView_GLVis(DM, PetscViewer);
275: PETSC_INTERN PetscErrorCode DMSetUpGLVisViewer_Plex(PetscObject, PetscViewer);
276: #if defined(PETSC_HAVE_HDF5)
277: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_HDF5(Vec, PetscViewer);
278: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5(Vec, PetscViewer);
279: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5(Vec, PetscViewer);
280: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5_Native(Vec, PetscViewer);
281: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5_Native(Vec, PetscViewer);
282: PETSC_EXTERN PetscErrorCode DMPlexView_HDF5(DM, PetscViewer);
283: PETSC_EXTERN PetscErrorCode DMPlexLoad_HDF5(DM, PetscViewer);
284: PETSC_INTERN PetscErrorCode DMPlexTopologyView_HDF5_Internal(DM, IS, PetscViewer);
285: PETSC_INTERN PetscErrorCode DMPlexCoordinatesView_HDF5_Internal(DM, PetscViewer);
286: PETSC_INTERN PetscErrorCode DMPlexLabelsView_HDF5_Internal(DM, IS, PetscViewer);
287: PETSC_INTERN PetscErrorCode DMPlexSectionView_HDF5_Internal(DM, PetscViewer, DM);
288: PETSC_INTERN PetscErrorCode DMPlexGlobalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
289: PETSC_INTERN PetscErrorCode DMPlexLocalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
290: PETSC_INTERN PetscErrorCode DMPlexTopologyLoad_HDF5_Internal(DM, PetscViewer, PetscSF *);
291: PETSC_INTERN PetscErrorCode DMPlexCoordinatesLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
292: PETSC_INTERN PetscErrorCode DMPlexLabelsLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
293: PETSC_INTERN PetscErrorCode DMPlexSectionLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, PetscSF *, PetscSF *);
294: PETSC_INTERN PetscErrorCode DMPlexVecLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, Vec);
295: PETSC_INTERN PetscErrorCode DMPlexView_HDF5_Internal(DM, PetscViewer);
296: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Internal(DM, PetscViewer);
297: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Xdmf_Internal(DM, PetscViewer);
298: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Internal(Vec, PetscViewer);
299: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Native_Internal(Vec, PetscViewer);
300: PETSC_INTERN PetscErrorCode VecView_Plex_Local_HDF5_Internal(Vec, PetscViewer);
301: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Internal(Vec, PetscViewer);
302: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Native_Internal(Vec, PetscViewer);
303: #endif
304: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_CGNS(Vec, PetscViewer);

306: PETSC_INTERN PetscErrorCode DMPlexVecGetClosure_Internal(DM, PetscSection, PetscBool, Vec, PetscInt, PetscInt *, PetscScalar *[]);
307: PETSC_INTERN PetscErrorCode DMPlexVecGetClosureAtDepth_Internal(DM, PetscSection, Vec, PetscInt, PetscInt, PetscInt *, PetscScalar *[]);
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 DMProjectFunctionLocal_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
320: 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);
321: 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);
322: 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);
323: 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);
324: PETSC_INTERN PetscErrorCode DMComputeL2Diff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
325: PETSC_INTERN PetscErrorCode DMComputeL2GradientDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
326: PETSC_INTERN PetscErrorCode DMComputeL2FieldDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
327: PETSC_INTERN PetscErrorCode DMLocatePoints_Plex(DM, Vec, DMPointLocationType, PetscSF);

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

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

359: PETSC_INTERN PetscErrorCode DMPlexInterpolateInPlace_Internal(DM);
360: PETSC_INTERN PetscErrorCode DMPlexCreateBoxMesh_Tensor_SFC_Internal(DM, PetscInt, const PetscInt[], const PetscReal[], const PetscReal[], const DMBoundaryType[], PetscBool);
361: PETSC_INTERN PetscErrorCode DMPlexMigrateIsoperiodicFaceSF_Internal(DM, DM, PetscSF);
362: PETSC_INTERN PetscErrorCode DMPlexCreateCellNumbering_Internal(DM, PetscBool, IS *);
363: PETSC_INTERN PetscErrorCode DMPlexCreateVertexNumbering_Internal(DM, PetscBool, IS *);
364: PETSC_INTERN PetscErrorCode DMPlexRefine_Internal(DM, Vec, DMLabel, DMLabel, DM *);
365: PETSC_INTERN PetscErrorCode DMPlexCoarsen_Internal(DM, Vec, DMLabel, DMLabel, DM *);
366: PETSC_INTERN PetscErrorCode DMCreateMatrix_Plex(DM, Mat *);

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

381: #if 1
382: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
383: {
384:   return (a <= 0) ? a : (N - a);
385: }

387: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
388: {
389:   if (!N) return 0;
390:   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));
391: }

393: static inline PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
394: {
395:   return DihedralCompose(N, DihedralInvert(N, a), b);
396: }
397: #else
398: /* TODO
399:    This is a reimplementation of the tensor dihedral symmetries using the new orientations.
400:    These should be turned on when we convert to new-style orientations in p4est.
401: */
402: /* invert dihedral symmetry: return a^-1,
403:  * using the representation described in
404:  * DMPlexGetConeOrientation() */
405: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
406: {
407:   switch (N) {
408:   case 0:
409:     return 0;
410:   case 2:
411:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, 0, a);
412:   case 4:
413:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, 0, a);
414:   case 8:
415:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, 0, a);
416:   default:
417:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralInvert()");
418:   }
419:   return 0;
420: }

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

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

466: PETSC_EXTERN PetscErrorCode DMPlexComputeIntegral_Internal(DM, Vec, PetscInt, PetscInt, PetscScalar *, void *);
467: PETSC_EXTERN PetscErrorCode DMPlexComputeResidual_Internal(DM, PetscFormKey, IS, PetscReal, Vec, Vec, PetscReal, Vec, void *);
468: PETSC_EXTERN PetscErrorCode DMPlexComputeResidual_Hybrid_Internal(DM, PetscFormKey[], IS, PetscReal, Vec, Vec, PetscReal, Vec, void *);
469: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Internal(DM, PetscFormKey, IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
470: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Hybrid_Internal(DM, PetscFormKey[], IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
471: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Action_Internal(DM, PetscFormKey, IS, PetscReal, PetscReal, Vec, Vec, Vec, Vec, void *);
472: PETSC_EXTERN PetscErrorCode DMPlexReconstructGradients_Internal(DM, PetscFV, PetscInt, PetscInt, Vec, Vec, Vec, Vec);

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

541:   A[i,j] = A[i * n + j]
542:   A^T[j,i] = A[i,j]
543: */
544: static inline void DMPlex_MultTransposeReal_Internal(const PetscReal A[], PetscInt m, PetscInt n, PetscInt ldx, const PetscScalar x[], PetscScalar y[])
545: {
546:   PetscScalar z[3];
547:   PetscInt    i, j;
548:   for (i = 0; i < m; ++i) z[i] = x[i * ldx];
549:   for (j = 0; j < n; ++j) {
550:     const PetscInt l = j * ldx;
551:     y[l]             = 0;
552:     for (i = 0; i < m; ++i) y[l] += A[i * n + j] * z[i];
553:   }
554:   (void)PetscLogFlops(2 * m * n);
555: }
556: static inline void DMPlex_MultTranspose2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
557: {
558:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
559:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
560:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
561:   (void)PetscLogFlops(6.0);
562: }
563: static inline void DMPlex_MultTranspose3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
564: {
565:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
566:   y[0 * ldx]             = A[0] * z[0] + A[3] * z[1] + A[6] * z[2];
567:   y[1 * ldx]             = A[1] * z[0] + A[4] * z[1] + A[7] * z[2];
568:   y[2 * ldx]             = A[2] * z[0] + A[5] * z[1] + A[8] * z[2];
569:   (void)PetscLogFlops(15.0);
570: }

572: static inline void DMPlex_MatMult2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
573: {
574: #define PLEX_DIM__ 2
575:   PetscScalar z[PLEX_DIM__];
576:   for (PetscInt j = 0; j < n; ++j) {
577:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
578:     DMPlex_Mult2D_Internal(A, 1, z, z);
579:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
580:   }
581:   (void)PetscLogFlops(8.0 * n);
582: #undef PLEX_DIM__
583: }
584: static inline void DMPlex_MatMult3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
585: {
586: #define PLEX_DIM__ 3
587:   PetscScalar z[PLEX_DIM__];
588:   for (PetscInt j = 0; j < n; ++j) {
589:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
590:     DMPlex_Mult3D_Internal(A, 1, z, z);
591:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
592:   }
593:   (void)PetscLogFlops(8.0 * n);
594: #undef PLEX_DIM__
595: }
596: static inline void DMPlex_MatMultTranspose2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
597: {
598: #define PLEX_DIM__ 2
599:   PetscScalar z[PLEX_DIM__];
600:   for (PetscInt j = 0; j < n; ++j) {
601:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
602:     DMPlex_MultTranspose2D_Internal(A, 1, z, z);
603:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
604:   }
605:   (void)PetscLogFlops(8.0 * n);
606: #undef PLEX_DIM__
607: }
608: static inline void DMPlex_MatMultTranspose3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
609: {
610: #define PLEX_DIM__ 3
611:   PetscScalar z[PLEX_DIM__];
612:   for (PetscInt j = 0; j < n; ++j) {
613:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
614:     DMPlex_MultTranspose3D_Internal(A, 1, z, z);
615:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
616:   }
617:   (void)PetscLogFlops(8.0 * n);
618: #undef PLEX_DIM__
619: }

621: static inline void DMPlex_MatMultLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
622: {
623:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
624:   (void)PetscLogFlops(8.0 * m);
625: }
626: static inline void DMPlex_MatMultLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
627: {
628:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
629:   (void)PetscLogFlops(8.0 * m);
630: }
631: static inline void DMPlex_MatMultTransposeLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
632: {
633:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
634:   (void)PetscLogFlops(8.0 * m);
635: }
636: static inline void DMPlex_MatMultTransposeLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
637: {
638:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
639:   (void)PetscLogFlops(8.0 * m);
640: }

642: static inline void DMPlex_PTAP2DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
643: {
644:   PetscScalar out[4];
645:   PetscInt    i, j, k, l;
646:   for (i = 0; i < 2; ++i) {
647:     for (j = 0; j < 2; ++j) {
648:       out[i * 2 + j] = 0.;
649:       for (k = 0; k < 2; ++k) {
650:         for (l = 0; l < 2; ++l) out[i * 2 + j] += P[k * 2 + i] * A[k * 2 + l] * P[l * 2 + j];
651:       }
652:     }
653:   }
654:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
655:   (void)PetscLogFlops(48.0);
656: }
657: static inline void DMPlex_PTAP3DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
658: {
659:   PetscScalar out[9];
660:   PetscInt    i, j, k, l;
661:   for (i = 0; i < 3; ++i) {
662:     for (j = 0; j < 3; ++j) {
663:       out[i * 3 + j] = 0.;
664:       for (k = 0; k < 3; ++k) {
665:         for (l = 0; l < 3; ++l) out[i * 3 + j] += P[k * 3 + i] * A[k * 3 + l] * P[l * 3 + j];
666:       }
667:     }
668:   }
669:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
670:   (void)PetscLogFlops(243.0);
671: }
672: /* TODO Fix for aliasing of A and C */
673: static inline void DMPlex_PTAPReal_Internal(const PetscReal P[], PetscInt m, PetscInt n, const PetscScalar A[], PetscScalar C[])
674: {
675:   PetscInt i, j, k, l;
676:   for (i = 0; i < n; ++i) {
677:     for (j = 0; j < n; ++j) {
678:       C[i * n + j] = 0.;
679:       for (k = 0; k < m; ++k) {
680:         for (l = 0; l < m; ++l) C[i * n + j] += P[k * n + i] * A[k * m + l] * P[l * n + j];
681:       }
682:     }
683:   }
684:   (void)PetscLogFlops(243.0);
685: }

687: static inline void DMPlex_Transpose2D_Internal(PetscScalar A[])
688: {
689:   PetscScalar tmp;
690:   tmp  = A[1];
691:   A[1] = A[2];
692:   A[2] = tmp;
693: }
694: static inline void DMPlex_Transpose3D_Internal(PetscScalar A[])
695: {
696:   PetscScalar tmp;
697:   tmp  = A[1];
698:   A[1] = A[3];
699:   A[3] = tmp;
700:   tmp  = A[2];
701:   A[2] = A[6];
702:   A[6] = tmp;
703:   tmp  = A[5];
704:   A[5] = A[7];
705:   A[7] = tmp;
706: }

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

713:   invJ[0] = invDet * J[3];
714:   invJ[1] = -invDet * J[1];
715:   invJ[2] = -invDet * J[2];
716:   invJ[3] = invDet * J[0];
717:   (void)PetscLogFlops(5.0);
718: }

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

725:   invJ[0 * 3 + 0] = invDet * (J[1 * 3 + 1] * J[2 * 3 + 2] - J[1 * 3 + 2] * J[2 * 3 + 1]);
726:   invJ[0 * 3 + 1] = invDet * (J[0 * 3 + 2] * J[2 * 3 + 1] - J[0 * 3 + 1] * J[2 * 3 + 2]);
727:   invJ[0 * 3 + 2] = invDet * (J[0 * 3 + 1] * J[1 * 3 + 2] - J[0 * 3 + 2] * J[1 * 3 + 1]);
728:   invJ[1 * 3 + 0] = invDet * (J[1 * 3 + 2] * J[2 * 3 + 0] - J[1 * 3 + 0] * J[2 * 3 + 2]);
729:   invJ[1 * 3 + 1] = invDet * (J[0 * 3 + 0] * J[2 * 3 + 2] - J[0 * 3 + 2] * J[2 * 3 + 0]);
730:   invJ[1 * 3 + 2] = invDet * (J[0 * 3 + 2] * J[1 * 3 + 0] - J[0 * 3 + 0] * J[1 * 3 + 2]);
731:   invJ[2 * 3 + 0] = invDet * (J[1 * 3 + 0] * J[2 * 3 + 1] - J[1 * 3 + 1] * J[2 * 3 + 0]);
732:   invJ[2 * 3 + 1] = invDet * (J[0 * 3 + 1] * J[2 * 3 + 0] - J[0 * 3 + 0] * J[2 * 3 + 1]);
733:   invJ[2 * 3 + 2] = invDet * (J[0 * 3 + 0] * J[1 * 3 + 1] - J[0 * 3 + 1] * J[1 * 3 + 0]);
734:   (void)PetscLogFlops(37.0);
735: }

737: static inline void DMPlex_Det2D_Internal(PetscReal *detJ, const PetscReal J[])
738: {
739:   *detJ = J[0] * J[3] - J[1] * J[2];
740:   (void)PetscLogFlops(3.0);
741: }

743: static inline void DMPlex_Det3D_Internal(PetscReal *detJ, const PetscReal J[])
744: {
745:   *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]));
746:   (void)PetscLogFlops(12.0);
747: }

749: static inline void DMPlex_Det2D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
750: {
751:   *detJ = PetscRealPart(J[0]) * PetscRealPart(J[3]) - PetscRealPart(J[1]) * PetscRealPart(J[2]);
752:   (void)PetscLogFlops(3.0);
753: }

755: static inline void DMPlex_Det3D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
756: {
757:   *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])));
758:   (void)PetscLogFlops(12.0);
759: }

761: static inline void DMPlex_WaxpyD_Internal(PetscInt dim, PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w)
762: {
763:   PetscInt d;
764:   for (d = 0; d < dim; ++d) w[d] = a * x[d] + y[d];
765: }

767: static inline PetscReal DMPlex_DotD_Internal(PetscInt dim, const PetscScalar *x, const PetscReal *y)
768: {
769:   PetscReal sum = 0.0;
770:   PetscInt  d;
771:   for (d = 0; d < dim; ++d) sum += PetscRealPart(x[d]) * y[d];
772:   return sum;
773: }

775: static inline PetscReal DMPlex_DotRealD_Internal(PetscInt dim, const PetscReal *x, const PetscReal *y)
776: {
777:   PetscReal sum = 0.0;
778:   PetscInt  d;
779:   for (d = 0; d < dim; ++d) sum += x[d] * y[d];
780:   return sum;
781: }

783: static inline PetscReal DMPlex_NormD_Internal(PetscInt dim, const PetscReal *x)
784: {
785:   PetscReal sum = 0.0;
786:   PetscInt  d;
787:   for (d = 0; d < dim; ++d) sum += x[d] * x[d];
788:   return PetscSqrtReal(sum);
789: }

791: static inline PetscReal DMPlex_DistD_Internal(PetscInt dim, const PetscScalar *x, const PetscScalar *y)
792: {
793:   PetscReal sum = 0.0;
794:   PetscInt  d;
795:   for (d = 0; d < dim; ++d) sum += PetscRealPart(PetscConj(x[d] - y[d]) * (x[d] - y[d]));
796:   return PetscSqrtReal(sum);
797: }

799: PETSC_INTERN PetscErrorCode DMPlexGetPointDualSpaceFEM(DM, PetscInt, PetscInt, PetscDualSpace *);
800: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPoint_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt *, PetscBool, const PetscInt[], const PetscInt[], PetscInt[]);
801: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPointFields_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt[], PetscBool, const PetscInt ***, PetscInt, const PetscInt[], PetscInt[]);
802: PETSC_INTERN PetscErrorCode DMPlexGetTransitiveClosure_Internal(DM, PetscInt, PetscInt, PetscBool, PetscInt *, PetscInt *[]);
803: PETSC_INTERN PetscErrorCode DMPlexVecGetOrientedClosure_Internal(DM, PetscSection, PetscBool, Vec, PetscInt, PetscInt, PetscInt *, PetscScalar *[]);
804: PETSC_INTERN PetscErrorCode DMPlexMatSetClosure_Internal(DM, PetscSection, PetscSection, PetscBool, Mat, PetscInt, const PetscScalar[], InsertMode);

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

821: PETSC_INTERN PetscErrorCode DMPeriodicCoordinateSetUp_Internal(DM);

823: /* Functions in the vtable */
824: PETSC_INTERN PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling);
825: PETSC_INTERN PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat);
826: PETSC_INTERN PetscErrorCode DMCreateMassMatrix_Plex(DM dmCoarse, DM dmFine, Mat *mat);
827: PETSC_INTERN PetscErrorCode DMCreateMassMatrixLumped_Plex(DM dmCoarse, Vec *lm);
828: PETSC_INTERN PetscErrorCode DMCreateLocalSection_Plex(DM dm);
829: PETSC_INTERN PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm);
830: PETSC_INTERN PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J);
831: PETSC_INTERN PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm);
832: PETSC_INTERN PetscErrorCode DMCreateCoordinateField_Plex(DM dm, DMField *field);
833: PETSC_INTERN PetscErrorCode DMClone_Plex(DM dm, DM *newdm);
834: PETSC_INTERN PetscErrorCode DMSetUp_Plex(DM dm);
835: PETSC_INTERN PetscErrorCode DMDestroy_Plex(DM dm);
836: PETSC_INTERN PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer);
837: PETSC_INTERN PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer);
838: PETSC_INTERN PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm);
839: PETSC_INTERN PetscErrorCode DMCreateSuperDM_Plex(DM dms[], PetscInt len, IS **is, DM *superdm);
840: PETSC_INTERN PetscErrorCode DMCreateDomainDecompositionScatters_Plex(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);
841: PETSC_INTERN PetscErrorCode DMCreateDomainDecomposition_Plex(DM, PetscInt *, char ***, IS **, IS **, DM **);
842: PETSC_INTERN PetscErrorCode DMCreateSectionPermutation_Plex(DM dm, IS *permutation, PetscBT *blockStarts);

844: // Coordinate mapping functions
845: 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[]);
846: 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[]);
847: 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[]);
848: 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[]);
849: 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[]);

851: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel_EGADS(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);
852: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel_EGADSLite(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);