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:   PetscBool     ignoreModel;                      /* Ignore the geometry model during refinement */
237:   PetscReal     minradius;                        /* Minimum distance from cell centroid to face */
238:   PetscBool     useHashLocation;                  /* Use grid hashing for point location */
239:   PetscGridHash lbox;                             /* Local box for searching */
240:   void (*coordFunc)(PetscInt, PetscInt, PetscInt, /* Function used to remap newly introduced vertices */
241:                     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[]);

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

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

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

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

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

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

305: struct _n_DMPlexStorageVersion {
306:   int major, minor, subminor;
307: };
308: typedef struct _n_DMPlexStorageVersion *DMPlexStorageVersion;

310: PETSC_EXTERN PetscErrorCode PetscViewerHDF5GetDMPlexStorageVersionReading(PetscViewer, DMPlexStorageVersion *);
311: PETSC_EXTERN PetscErrorCode PetscViewerHDF5GetDMPlexStorageVersionWriting(PetscViewer, DMPlexStorageVersion *);
312: #endif
313: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_CGNS(Vec, PetscViewer);

315: PETSC_INTERN PetscErrorCode DMPlexVecGetClosure_Internal(DM, PetscSection, PetscBool, Vec, PetscInt, PetscInt *, PetscScalar *[]);
316: PETSC_INTERN PetscErrorCode DMPlexVecGetClosureAtDepth_Internal(DM, PetscSection, Vec, PetscInt, PetscInt, PetscInt *, PetscScalar *[]);
317: PETSC_INTERN PetscErrorCode DMPlexClosurePoints_Private(DM, PetscInt, const PetscInt[], IS *);
318: PETSC_INTERN PetscErrorCode DMSetFromOptions_NonRefinement_Plex(DM, PetscOptionItems *);
319: PETSC_INTERN PetscErrorCode DMSetFromOptions_Overlap_Plex(DM, PetscOptionItems *, PetscInt *);
320: PETSC_INTERN PetscErrorCode DMCoarsen_Plex(DM, MPI_Comm, DM *);
321: PETSC_INTERN PetscErrorCode DMCoarsenHierarchy_Plex(DM, PetscInt, DM[]);
322: PETSC_INTERN PetscErrorCode DMRefine_Plex(DM, MPI_Comm, DM *);
323: PETSC_INTERN PetscErrorCode DMRefineHierarchy_Plex(DM, PetscInt, DM[]);
324: PETSC_INTERN PetscErrorCode DMAdaptLabel_Plex(DM, Vec, DMLabel, DMLabel, DM *);
325: PETSC_INTERN PetscErrorCode DMExtrude_Plex(DM, PetscInt, DM *);
326: PETSC_INTERN PetscErrorCode DMPlexInsertBoundaryValues_Plex(DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec);
327: PETSC_INTERN PetscErrorCode DMPlexInsertTimeDerivativeBoundaryValues_Plex(DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec);
328: PETSC_INTERN PetscErrorCode DMProjectFunctionLocal_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
329: 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);
330: 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);
331: 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);
332: 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);
333: PETSC_INTERN PetscErrorCode DMComputeL2Diff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
334: PETSC_INTERN PetscErrorCode DMComputeL2GradientDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
335: PETSC_INTERN PetscErrorCode DMComputeL2FieldDiff_Plex(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
336: PETSC_INTERN PetscErrorCode DMLocatePoints_Plex(DM, Vec, DMPointLocationType, PetscSF);

338: #if defined(PETSC_HAVE_EXODUSII)
339: PETSC_INTERN PetscErrorCode DMView_PlexExodusII(DM, PetscViewer);
340: PETSC_INTERN PetscErrorCode VecView_PlexExodusII_Internal(Vec, PetscViewer);
341: PETSC_INTERN PetscErrorCode VecLoad_PlexExodusII_Internal(Vec, PetscViewer);
342: #endif
343: PETSC_INTERN PetscErrorCode DMView_PlexCGNS(DM, PetscViewer);
344: PETSC_INTERN PetscErrorCode DMPlexCreateCGNSFromFile_Internal(MPI_Comm, const char *, PetscBool, DM *);
345: PETSC_INTERN PetscErrorCode DMPlexCreateCGNS_Internal(MPI_Comm, PetscInt, PetscBool, DM *);
346: PETSC_INTERN PetscErrorCode DMPlexVTKGetCellType_Internal(DM, PetscInt, PetscInt, PetscInt *);
347: PETSC_INTERN PetscErrorCode DMPlexGetAdjacency_Internal(DM, PetscInt, PetscBool, PetscBool, PetscBool, PetscInt *, PetscInt *[]);
348: PETSC_INTERN PetscErrorCode DMPlexGetRawFaces_Internal(DM, DMPolytopeType, const PetscInt[], PetscInt *, const DMPolytopeType *[], const PetscInt *[], const PetscInt *[]);
349: PETSC_INTERN PetscErrorCode DMPlexRestoreRawFaces_Internal(DM, DMPolytopeType, const PetscInt[], PetscInt *, const DMPolytopeType *[], const PetscInt *[], const PetscInt *[]);
350: PETSC_INTERN PetscErrorCode DMPlexComputeCellType_Internal(DM, PetscInt, PetscInt, DMPolytopeType *);
351: PETSC_INTERN PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM, PetscSection, Vec, PetscBool[], PetscInt, PetscInt, const PetscInt[], DMLabel, PetscInt, const PetscScalar[], InsertMode);
352: PETSC_INTERN PetscErrorCode DMPlexProjectConstraints_Internal(DM, Vec, Vec);
353: PETSC_EXTERN PetscErrorCode DMPlexCreateReferenceTree_SetTree(DM, PetscSection, PetscInt[], PetscInt[]);
354: PETSC_EXTERN PetscErrorCode DMPlexCreateReferenceTree_Union(DM, DM, const char *, DM *);
355: PETSC_EXTERN PetscErrorCode DMPlexComputeInterpolatorTree(DM, DM, PetscSF, PetscInt *, Mat);
356: PETSC_EXTERN PetscErrorCode DMPlexComputeInjectorTree(DM, DM, PetscSF, PetscInt *, Mat);
357: PETSC_INTERN PetscErrorCode DMPlexAnchorsModifyMat(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, const PetscScalar[], PetscInt *, PetscInt *, PetscInt *[], PetscScalar *[], PetscInt[], PetscBool);
358: PETSC_INTERN PetscErrorCode DMPlexAnchorsModifyMat_Internal(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, PetscInt, PetscInt, const PetscScalar[], PetscInt *, PetscInt *, PetscInt *[], PetscScalar *[], PetscInt[], PetscBool, PetscBool);
359: PETSC_INTERN PetscErrorCode DMPlexAnchorsGetSubMatModification(DM, PetscSection, PetscInt, PetscInt, const PetscInt[], const PetscInt ***, PetscInt *, PetscInt *, PetscInt *[], PetscInt[], PetscScalar *[]);
360: PETSC_INTERN PetscErrorCode DMPlexLocatePoint_Internal(DM, PetscInt, const PetscScalar[], PetscInt, PetscInt *);
361: /* these two are PETSC_EXTERN just because of src/dm/impls/plex/tests/ex18.c */
362: PETSC_EXTERN PetscErrorCode DMPlexOrientInterface_Internal(DM);

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

367: PETSC_INTERN PetscErrorCode DMPlexInterpolateInPlace_Internal(DM);
368: PETSC_INTERN PetscErrorCode DMPlexCreateBoxMesh_Tensor_SFC_Internal(DM, PetscInt, const PetscInt[], const PetscReal[], const PetscReal[], const DMBoundaryType[], PetscBool);
369: PETSC_INTERN PetscErrorCode DMPlexMigrateIsoperiodicFaceSF_Internal(DM, DM, PetscSF);
370: PETSC_INTERN PetscErrorCode DMPlexCreateCellNumbering_Internal(DM, PetscBool, IS *);
371: PETSC_INTERN PetscErrorCode DMPlexCreateVertexNumbering_Internal(DM, PetscBool, IS *);
372: PETSC_INTERN PetscErrorCode DMPlexRefine_Internal(DM, Vec, DMLabel, DMLabel, DM *);
373: PETSC_INTERN PetscErrorCode DMPlexCoarsen_Internal(DM, Vec, DMLabel, DMLabel, DM *);
374: PETSC_INTERN PetscErrorCode DMCreateMatrix_Plex(DM, Mat *);

376: PETSC_INTERN PetscErrorCode DMPlexGetOverlap_Plex(DM, PetscInt *);
377: PETSC_INTERN PetscErrorCode DMPlexSetOverlap_Plex(DM, DM, PetscInt);
378: PETSC_INTERN PetscErrorCode DMPlexDistributeGetDefault_Plex(DM, PetscBool *);
379: PETSC_INTERN PetscErrorCode DMPlexDistributeSetDefault_Plex(DM, PetscBool);
380: PETSC_INTERN PetscErrorCode DMPlexReorderGetDefault_Plex(DM, DMReorderDefaultFlag *);
381: PETSC_INTERN PetscErrorCode DMPlexReorderSetDefault_Plex(DM, DMReorderDefaultFlag);
382: PETSC_INTERN PetscErrorCode DMPlexGetUseCeed_Plex(DM, PetscBool *);
383: PETSC_INTERN PetscErrorCode DMPlexSetUseCeed_Plex(DM, PetscBool);
384: PETSC_INTERN PetscErrorCode DMReorderSectionGetDefault_Plex(DM, DMReorderDefaultFlag *);
385: PETSC_INTERN PetscErrorCode DMReorderSectionSetDefault_Plex(DM, DMReorderDefaultFlag);
386: PETSC_INTERN PetscErrorCode DMReorderSectionGetType_Plex(DM, MatOrderingType *);
387: PETSC_INTERN PetscErrorCode DMReorderSectionSetType_Plex(DM, MatOrderingType);

389: #if 1
390: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
391: {
392:   return (a <= 0) ? a : (N - a);
393: }

395: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
396: {
397:   if (!N) return 0;
398:   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));
399: }

401: static inline PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
402: {
403:   return DihedralCompose(N, DihedralInvert(N, a), b);
404: }
405: #else
406: /* TODO
407:    This is a reimplementation of the tensor dihedral symmetries using the new orientations.
408:    These should be turned on when we convert to new-style orientations in p4est.
409: */
410: /* invert dihedral symmetry: return a^-1,
411:  * using the representation described in
412:  * DMPlexGetConeOrientation() */
413: static inline PetscInt DihedralInvert(PetscInt N, PetscInt a)
414: {
415:   switch (N) {
416:   case 0:
417:     return 0;
418:   case 2:
419:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, 0, a);
420:   case 4:
421:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, 0, a);
422:   case 8:
423:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, 0, a);
424:   default:
425:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralInvert()");
426:   }
427:   return 0;
428: }

430: /* compose dihedral symmetry: return b * a,
431:  * using the representation described in
432:  * DMPlexGetConeOrientation() */
433: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
434: {
435:   switch (N) {
436:   case 0:
437:     return 0;
438:   case 2:
439:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, b, a);
440:   case 4:
441:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, b, a);
442:   case 8:
443:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, b, a);
444:   default:
445:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralCompose()");
446:   }
447:   return 0;
448: }

450: /* swap dihedral symmetries: return b * a^-1,
451:  * using the representation described in
452:  * DMPlexGetConeOrientation() */
453: static inline PetscInt DihedralSwap(PetscInt N, PetscInt a, PetscInt b)
454: {
455:   switch (N) {
456:   case 0:
457:     return 0;
458:   case 2:
459:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_SEGMENT, b, a);
460:   case 4:
461:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_QUADRILATERAL, b, a);
462:   case 8:
463:     return DMPolytopeTypeComposeOrientationInv(DM_POLYTOPE_HEXAHEDRON, b, a);
464:   default:
465:     SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid celltype for DihedralCompose()");
466:   }
467:   return 0;
468: }
469: #endif
470: PETSC_EXTERN PetscInt       DMPolytopeConvertNewOrientation_Internal(DMPolytopeType, PetscInt);
471: PETSC_EXTERN PetscInt       DMPolytopeConvertOldOrientation_Internal(DMPolytopeType, PetscInt);
472: PETSC_EXTERN PetscErrorCode DMPlexConvertOldOrientations_Internal(DM);

474: PETSC_EXTERN PetscErrorCode DMPlexComputeIntegral_Internal(DM, Vec, PetscInt, PetscInt, PetscScalar *, void *);
475: PETSC_EXTERN PetscErrorCode DMPlexComputeResidual_Internal(DM, PetscFormKey, IS, PetscReal, Vec, Vec, PetscReal, Vec, void *);
476: PETSC_EXTERN PetscErrorCode DMPlexComputeResidual_Hybrid_Internal(DM, PetscFormKey[], IS, PetscReal, Vec, Vec, PetscReal, Vec, void *);
477: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Internal(DM, PetscFormKey, IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
478: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Hybrid_Internal(DM, PetscFormKey[], IS, PetscReal, PetscReal, Vec, Vec, Mat, Mat, void *);
479: PETSC_EXTERN PetscErrorCode DMPlexComputeJacobian_Action_Internal(DM, PetscFormKey, IS, PetscReal, PetscReal, Vec, Vec, Vec, Vec, void *);
480: PETSC_EXTERN PetscErrorCode DMPlexReconstructGradients_Internal(DM, PetscFV, PetscInt, PetscInt, Vec, Vec, Vec, Vec);

482: /* Matvec with A in row-major storage, x and y can be aliased */
483: static inline void DMPlex_Mult2D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
484: {
485:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
486:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1];
487:   y[1 * ldx]             = A[2] * z[0] + A[3] * z[1];
488:   (void)PetscLogFlops(6.0);
489: }
490: static inline void DMPlex_Mult3D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
491: {
492:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
493:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
494:   y[1 * ldx]             = A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
495:   y[2 * ldx]             = A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
496:   (void)PetscLogFlops(15.0);
497: }
498: static inline void DMPlex_MultTranspose2D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
499: {
500:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
501:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
502:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
503:   (void)PetscLogFlops(6.0);
504: }
505: static inline void DMPlex_MultTranspose3D_Internal(const PetscScalar A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
506: {
507:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
508:   y[0 * ldx]             = PetscConj(A[0]) * z[0] + PetscConj(A[3]) * z[1] + PetscConj(A[6]) * z[2];
509:   y[1 * ldx]             = PetscConj(A[1]) * z[0] + PetscConj(A[4]) * z[1] + PetscConj(A[7]) * z[2];
510:   y[2 * ldx]             = PetscConj(A[2]) * z[0] + PetscConj(A[5]) * z[1] + PetscConj(A[8]) * z[2];
511:   (void)PetscLogFlops(15.0);
512: }
513: static inline void DMPlex_Mult2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
514: {
515:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
516:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1];
517:   y[1 * ldx]             = A[2] * z[0] + A[3] * z[1];
518:   (void)PetscLogFlops(6.0);
519: }
520: static inline void DMPlex_Mult3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
521: {
522:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
523:   y[0 * ldx]             = A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
524:   y[1 * ldx]             = A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
525:   y[2 * ldx]             = A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
526:   (void)PetscLogFlops(15.0);
527: }
528: static inline void DMPlex_MultAdd2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
529: {
530:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
531:   y[0 * ldx] += A[0] * z[0] + A[1] * z[1];
532:   y[1 * ldx] += A[2] * z[0] + A[3] * z[1];
533:   (void)PetscLogFlops(6.0);
534: }
535: static inline void DMPlex_MultAdd3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
536: {
537:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
538:   y[0 * ldx] += A[0] * z[0] + A[1] * z[1] + A[2] * z[2];
539:   y[1 * ldx] += A[3] * z[0] + A[4] * z[1] + A[5] * z[2];
540:   y[2 * ldx] += A[6] * z[0] + A[7] * z[1] + A[8] * z[2];
541:   (void)PetscLogFlops(15.0);
542: }
543: /*
544:   A: packed, row-major m x n array
545:   x: length m array
546:   y: length n arra
547:   ldx: the stride in x and y

549:   A[i,j] = A[i * n + j]
550:   A^T[j,i] = A[i,j]
551: */
552: static inline void DMPlex_MultTransposeReal_Internal(const PetscReal A[], PetscInt m, PetscInt n, PetscInt ldx, const PetscScalar x[], PetscScalar y[])
553: {
554:   PetscScalar z[3];
555:   PetscInt    i, j;
556:   for (i = 0; i < m; ++i) z[i] = x[i * ldx];
557:   for (j = 0; j < n; ++j) {
558:     const PetscInt l = j * ldx;
559:     y[l]             = 0;
560:     for (i = 0; i < m; ++i) y[l] += A[i * n + j] * z[i];
561:   }
562:   (void)PetscLogFlops(2 * m * n);
563: }
564: static inline void DMPlex_MultTranspose2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
565: {
566:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
567:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
568:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
569:   (void)PetscLogFlops(6.0);
570: }
571: static inline void DMPlex_MultTranspose3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
572: {
573:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
574:   y[0 * ldx]             = A[0] * z[0] + A[3] * z[1] + A[6] * z[2];
575:   y[1 * ldx]             = A[1] * z[0] + A[4] * z[1] + A[7] * z[2];
576:   y[2 * ldx]             = A[2] * z[0] + A[5] * z[1] + A[8] * z[2];
577:   (void)PetscLogFlops(15.0);
578: }

580: static inline void DMPlex_MatMult2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
581: {
582: #define PLEX_DIM__ 2
583:   PetscScalar z[PLEX_DIM__];
584:   for (PetscInt j = 0; j < n; ++j) {
585:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
586:     DMPlex_Mult2D_Internal(A, 1, z, z);
587:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
588:   }
589:   (void)PetscLogFlops(8.0 * n);
590: #undef PLEX_DIM__
591: }
592: static inline void DMPlex_MatMult3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
593: {
594: #define PLEX_DIM__ 3
595:   PetscScalar z[PLEX_DIM__];
596:   for (PetscInt j = 0; j < n; ++j) {
597:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
598:     DMPlex_Mult3D_Internal(A, 1, z, z);
599:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
600:   }
601:   (void)PetscLogFlops(8.0 * n);
602: #undef PLEX_DIM__
603: }
604: static inline void DMPlex_MatMultTranspose2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
605: {
606: #define PLEX_DIM__ 2
607:   PetscScalar z[PLEX_DIM__];
608:   for (PetscInt j = 0; j < n; ++j) {
609:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
610:     DMPlex_MultTranspose2D_Internal(A, 1, z, z);
611:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
612:   }
613:   (void)PetscLogFlops(8.0 * n);
614: #undef PLEX_DIM__
615: }
616: static inline void DMPlex_MatMultTranspose3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
617: {
618: #define PLEX_DIM__ 3
619:   PetscScalar z[PLEX_DIM__];
620:   for (PetscInt j = 0; j < n; ++j) {
621:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
622:     DMPlex_MultTranspose3D_Internal(A, 1, z, z);
623:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
624:   }
625:   (void)PetscLogFlops(8.0 * n);
626: #undef PLEX_DIM__
627: }

629: static inline void DMPlex_MatMultLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
630: {
631:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
632:   (void)PetscLogFlops(8.0 * m);
633: }
634: static inline void DMPlex_MatMultLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
635: {
636:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
637:   (void)PetscLogFlops(8.0 * m);
638: }
639: static inline void DMPlex_MatMultTransposeLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
640: {
641:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
642:   (void)PetscLogFlops(8.0 * m);
643: }
644: static inline void DMPlex_MatMultTransposeLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
645: {
646:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
647:   (void)PetscLogFlops(8.0 * m);
648: }

650: static inline void DMPlex_PTAP2DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
651: {
652:   PetscScalar out[4];
653:   PetscInt    i, j, k, l;
654:   for (i = 0; i < 2; ++i) {
655:     for (j = 0; j < 2; ++j) {
656:       out[i * 2 + j] = 0.;
657:       for (k = 0; k < 2; ++k) {
658:         for (l = 0; l < 2; ++l) out[i * 2 + j] += P[k * 2 + i] * A[k * 2 + l] * P[l * 2 + j];
659:       }
660:     }
661:   }
662:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
663:   (void)PetscLogFlops(48.0);
664: }
665: static inline void DMPlex_PTAP3DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
666: {
667:   PetscScalar out[9];
668:   PetscInt    i, j, k, l;
669:   for (i = 0; i < 3; ++i) {
670:     for (j = 0; j < 3; ++j) {
671:       out[i * 3 + j] = 0.;
672:       for (k = 0; k < 3; ++k) {
673:         for (l = 0; l < 3; ++l) out[i * 3 + j] += P[k * 3 + i] * A[k * 3 + l] * P[l * 3 + j];
674:       }
675:     }
676:   }
677:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
678:   (void)PetscLogFlops(243.0);
679: }
680: /* TODO Fix for aliasing of A and C */
681: static inline void DMPlex_PTAPReal_Internal(const PetscReal P[], PetscInt m, PetscInt n, const PetscScalar A[], PetscScalar C[])
682: {
683:   PetscInt i, j, k, l;
684:   for (i = 0; i < n; ++i) {
685:     for (j = 0; j < n; ++j) {
686:       C[i * n + j] = 0.;
687:       for (k = 0; k < m; ++k) {
688:         for (l = 0; l < m; ++l) C[i * n + j] += P[k * n + i] * A[k * m + l] * P[l * n + j];
689:       }
690:     }
691:   }
692:   (void)PetscLogFlops(243.0);
693: }

695: static inline void DMPlex_Transpose2D_Internal(PetscScalar A[])
696: {
697:   PetscScalar tmp;
698:   tmp  = A[1];
699:   A[1] = A[2];
700:   A[2] = tmp;
701: }
702: static inline void DMPlex_Transpose3D_Internal(PetscScalar A[])
703: {
704:   PetscScalar tmp;
705:   tmp  = A[1];
706:   A[1] = A[3];
707:   A[3] = tmp;
708:   tmp  = A[2];
709:   A[2] = A[6];
710:   A[6] = tmp;
711:   tmp  = A[5];
712:   A[5] = A[7];
713:   A[7] = tmp;
714: }

716: static inline void DMPlex_Invert2D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
717: {
718:   // Allow zero volume cells
719:   const PetscReal invDet = detJ == 0 ? 1.0 : 1.0 / detJ;

721:   invJ[0] = invDet * J[3];
722:   invJ[1] = -invDet * J[1];
723:   invJ[2] = -invDet * J[2];
724:   invJ[3] = invDet * J[0];
725:   (void)PetscLogFlops(5.0);
726: }

728: static inline void DMPlex_Invert3D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ)
729: {
730:   // Allow zero volume cells
731:   const PetscReal invDet = detJ == 0 ? 1.0 : 1.0 / detJ;

733:   invJ[0 * 3 + 0] = invDet * (J[1 * 3 + 1] * J[2 * 3 + 2] - J[1 * 3 + 2] * J[2 * 3 + 1]);
734:   invJ[0 * 3 + 1] = invDet * (J[0 * 3 + 2] * J[2 * 3 + 1] - J[0 * 3 + 1] * J[2 * 3 + 2]);
735:   invJ[0 * 3 + 2] = invDet * (J[0 * 3 + 1] * J[1 * 3 + 2] - J[0 * 3 + 2] * J[1 * 3 + 1]);
736:   invJ[1 * 3 + 0] = invDet * (J[1 * 3 + 2] * J[2 * 3 + 0] - J[1 * 3 + 0] * J[2 * 3 + 2]);
737:   invJ[1 * 3 + 1] = invDet * (J[0 * 3 + 0] * J[2 * 3 + 2] - J[0 * 3 + 2] * J[2 * 3 + 0]);
738:   invJ[1 * 3 + 2] = invDet * (J[0 * 3 + 2] * J[1 * 3 + 0] - J[0 * 3 + 0] * J[1 * 3 + 2]);
739:   invJ[2 * 3 + 0] = invDet * (J[1 * 3 + 0] * J[2 * 3 + 1] - J[1 * 3 + 1] * J[2 * 3 + 0]);
740:   invJ[2 * 3 + 1] = invDet * (J[0 * 3 + 1] * J[2 * 3 + 0] - J[0 * 3 + 0] * J[2 * 3 + 1]);
741:   invJ[2 * 3 + 2] = invDet * (J[0 * 3 + 0] * J[1 * 3 + 1] - J[0 * 3 + 1] * J[1 * 3 + 0]);
742:   (void)PetscLogFlops(37.0);
743: }

745: static inline void DMPlex_Det2D_Internal(PetscReal *detJ, const PetscReal J[])
746: {
747:   *detJ = J[0] * J[3] - J[1] * J[2];
748:   (void)PetscLogFlops(3.0);
749: }

751: static inline void DMPlex_Det3D_Internal(PetscReal *detJ, const PetscReal J[])
752: {
753:   *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]));
754:   (void)PetscLogFlops(12.0);
755: }

757: static inline void DMPlex_Det2D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
758: {
759:   *detJ = PetscRealPart(J[0]) * PetscRealPart(J[3]) - PetscRealPart(J[1]) * PetscRealPart(J[2]);
760:   (void)PetscLogFlops(3.0);
761: }

763: static inline void DMPlex_Det3D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
764: {
765:   *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])));
766:   (void)PetscLogFlops(12.0);
767: }

769: static inline void DMPlex_WaxpyD_Internal(PetscInt dim, PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w)
770: {
771:   PetscInt d;
772:   for (d = 0; d < dim; ++d) w[d] = a * x[d] + y[d];
773: }

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

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

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

799: static inline PetscReal DMPlex_DistD_Internal(PetscInt dim, const PetscScalar *x, const PetscScalar *y)
800: {
801:   PetscReal sum = 0.0;
802:   PetscInt  d;
803:   for (d = 0; d < dim; ++d) sum += PetscRealPart(PetscConj(x[d] - y[d]) * (x[d] - y[d]));
804:   return PetscSqrtReal(sum);
805: }

807: PETSC_INTERN PetscErrorCode DMPlexGetPointDualSpaceFEM(DM, PetscInt, PetscInt, PetscDualSpace *);
808: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPoint_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt *, PetscBool, const PetscInt[], const PetscInt[], PetscInt[]);
809: PETSC_INTERN PetscErrorCode DMPlexGetIndicesPointFields_Internal(PetscSection, PetscBool, PetscInt, PetscInt, PetscInt[], PetscBool, const PetscInt ***, PetscInt, const PetscInt[], PetscInt[]);
810: PETSC_INTERN PetscErrorCode DMPlexGetTransitiveClosure_Internal(DM, PetscInt, PetscInt, PetscBool, PetscInt *, PetscInt *[]);
811: PETSC_INTERN PetscErrorCode DMPlexVecGetOrientedClosure_Internal(DM, PetscSection, PetscBool, Vec, PetscInt, PetscInt, PetscInt *, PetscScalar *[]);
812: PETSC_INTERN PetscErrorCode DMPlexMatSetClosure_Internal(DM, PetscSection, PetscSection, PetscBool, Mat, PetscInt, const PetscScalar[], InsertMode);

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

829: PETSC_INTERN PetscErrorCode DMPeriodicCoordinateSetUp_Internal(DM);

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

852: // Coordinate mapping functions
853: 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[]);
854: 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[]);
855: 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[]);
856: 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[]);
857: 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[]);