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 */
    171:   MPI_Comm  nonempty_comm;    /* Communicator used for visualization when some processes do not have cells */

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

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

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

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

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

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

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

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

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

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

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

    236:   /* Geometry */
    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 DMPlexGetFieldType_Internal(DM, PetscSection, PetscInt, PetscInt *, PetscInt *, PetscViewerVTKFieldType *);
    273: PETSC_INTERN PetscErrorCode DMPlexView_GLVis(DM, PetscViewer);
    274: PETSC_INTERN PetscErrorCode DMSetUpGLVisViewer_Plex(PetscObject, PetscViewer);
    275: #if defined(PETSC_HAVE_HDF5)
    276: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_HDF5(Vec, PetscViewer);
    277: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5(Vec, PetscViewer);
    278: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5(Vec, PetscViewer);
    279: PETSC_EXTERN PetscErrorCode VecView_Plex_HDF5_Native(Vec, PetscViewer);
    280: PETSC_EXTERN PetscErrorCode VecLoad_Plex_HDF5_Native(Vec, PetscViewer);
    281: PETSC_EXTERN PetscErrorCode DMPlexView_HDF5(DM, PetscViewer);
    282: PETSC_EXTERN PetscErrorCode DMPlexLoad_HDF5(DM, PetscViewer);
    283: PETSC_INTERN PetscErrorCode DMPlexTopologyView_HDF5_Internal(DM, IS, PetscViewer);
    284: PETSC_INTERN PetscErrorCode DMPlexCoordinatesView_HDF5_Internal(DM, PetscViewer);
    285: PETSC_INTERN PetscErrorCode DMPlexLabelsView_HDF5_Internal(DM, IS, PetscViewer);
    286: PETSC_INTERN PetscErrorCode DMPlexSectionView_HDF5_Internal(DM, PetscViewer, DM);
    287: PETSC_INTERN PetscErrorCode DMPlexGlobalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
    288: PETSC_INTERN PetscErrorCode DMPlexLocalVectorView_HDF5_Internal(DM, PetscViewer, DM, Vec);
    289: PETSC_INTERN PetscErrorCode DMPlexTopologyLoad_HDF5_Internal(DM, PetscViewer, PetscSF *);
    290: PETSC_INTERN PetscErrorCode DMPlexCoordinatesLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
    291: PETSC_INTERN PetscErrorCode DMPlexLabelsLoad_HDF5_Internal(DM, PetscViewer, PetscSF);
    292: PETSC_INTERN PetscErrorCode DMPlexSectionLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, PetscSF *, PetscSF *);
    293: PETSC_INTERN PetscErrorCode DMPlexVecLoad_HDF5_Internal(DM, PetscViewer, DM, PetscSF, Vec);
    294: PETSC_INTERN PetscErrorCode DMPlexView_HDF5_Internal(DM, PetscViewer);
    295: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Internal(DM, PetscViewer);
    296: PETSC_INTERN PetscErrorCode DMPlexLoad_HDF5_Xdmf_Internal(DM, PetscViewer);
    297: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Internal(Vec, PetscViewer);
    298: PETSC_INTERN PetscErrorCode VecView_Plex_HDF5_Native_Internal(Vec, PetscViewer);
    299: PETSC_INTERN PetscErrorCode VecView_Plex_Local_HDF5_Internal(Vec, PetscViewer);
    300: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Internal(Vec, PetscViewer);
    301: PETSC_INTERN PetscErrorCode VecLoad_Plex_HDF5_Native_Internal(Vec, PetscViewer);
    302: #endif
    303: PETSC_EXTERN PetscErrorCode VecView_Plex_Local_CGNS(Vec, PetscViewer);
    304: #if defined(PETSC_HAVE_CGNS)
    305: PETSC_EXTERN PetscErrorCode VecLoad_Plex_CGNS_Internal(Vec, PetscViewer);
    306: #endif

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

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

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

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

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

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

    389: static inline PetscInt DihedralCompose(PetscInt N, PetscInt a, PetscInt b)
    390: {
    391:   if (!N) return 0;
    392:   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));
    393: }

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

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

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

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

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

    543:   A[i,j] = A[i * n + j]
    544:   A^T[j,i] = A[i,j]
    545: */
    546: static inline void DMPlex_MultTransposeReal_Internal(const PetscReal A[], PetscInt m, PetscInt n, PetscInt ldx, const PetscScalar x[], PetscScalar y[])
    547: {
    548:   PetscScalar z[3];
    549:   PetscInt    i, j;
    550:   for (i = 0; i < m; ++i) z[i] = x[i * ldx];
    551:   for (j = 0; j < n; ++j) {
    552:     const PetscInt l = j * ldx;
    553:     y[l]             = 0;
    554:     for (i = 0; i < m; ++i) y[l] += A[i * n + j] * z[i];
    555:   }
    556:   (void)PetscLogFlops(2 * m * n);
    557: }
    558: static inline void DMPlex_MultTranspose2DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
    559: {
    560:   const PetscScalar z[2] = {x[0 * ldx], x[1 * ldx]};
    561:   y[0 * ldx]             = A[0] * z[0] + A[2] * z[1];
    562:   y[1 * ldx]             = A[1] * z[0] + A[3] * z[1];
    563:   (void)PetscLogFlops(6.0);
    564: }
    565: static inline void DMPlex_MultTranspose3DReal_Internal(const PetscReal A[], PetscInt ldx, const PetscScalar x[], PetscScalar y[])
    566: {
    567:   const PetscScalar z[3] = {x[0 * ldx], x[1 * ldx], x[2 * ldx]};
    568:   y[0 * ldx]             = A[0] * z[0] + A[3] * z[1] + A[6] * z[2];
    569:   y[1 * ldx]             = A[1] * z[0] + A[4] * z[1] + A[7] * z[2];
    570:   y[2 * ldx]             = A[2] * z[0] + A[5] * z[1] + A[8] * z[2];
    571:   (void)PetscLogFlops(15.0);
    572: }

    574: static inline void DMPlex_MatMult2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    575: {
    576: #define PLEX_DIM__ 2
    577:   PetscScalar z[PLEX_DIM__];
    578:   for (PetscInt j = 0; j < n; ++j) {
    579:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
    580:     DMPlex_Mult2D_Internal(A, 1, z, z);
    581:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
    582:   }
    583:   (void)PetscLogFlops(8.0 * n);
    584: #undef PLEX_DIM__
    585: }
    586: static inline void DMPlex_MatMult3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    587: {
    588: #define PLEX_DIM__ 3
    589:   PetscScalar z[PLEX_DIM__];
    590:   for (PetscInt j = 0; j < n; ++j) {
    591:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
    592:     DMPlex_Mult3D_Internal(A, 1, z, z);
    593:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
    594:   }
    595:   (void)PetscLogFlops(8.0 * n);
    596: #undef PLEX_DIM__
    597: }
    598: static inline void DMPlex_MatMultTranspose2D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    599: {
    600: #define PLEX_DIM__ 2
    601:   PetscScalar z[PLEX_DIM__];
    602:   for (PetscInt j = 0; j < n; ++j) {
    603:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
    604:     DMPlex_MultTranspose2D_Internal(A, 1, z, z);
    605:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
    606:   }
    607:   (void)PetscLogFlops(8.0 * n);
    608: #undef PLEX_DIM__
    609: }
    610: static inline void DMPlex_MatMultTranspose3D_Internal(const PetscScalar A[], PetscInt n, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    611: {
    612: #define PLEX_DIM__ 3
    613:   PetscScalar z[PLEX_DIM__];
    614:   for (PetscInt j = 0; j < n; ++j) {
    615:     for (int d = 0; d < PLEX_DIM__; ++d) z[d] = B[d * ldb + j];
    616:     DMPlex_MultTranspose3D_Internal(A, 1, z, z);
    617:     for (int d = 0; d < PLEX_DIM__; ++d) C[d * ldb + j] = z[d];
    618:   }
    619:   (void)PetscLogFlops(8.0 * n);
    620: #undef PLEX_DIM__
    621: }

    623: static inline void DMPlex_MatMultLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    624: {
    625:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
    626:   (void)PetscLogFlops(8.0 * m);
    627: }
    628: static inline void DMPlex_MatMultLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    629: {
    630:   for (PetscInt j = 0; j < m; ++j) DMPlex_MultTranspose3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
    631:   (void)PetscLogFlops(8.0 * m);
    632: }
    633: static inline void DMPlex_MatMultTransposeLeft2D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    634: {
    635:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult2D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
    636:   (void)PetscLogFlops(8.0 * m);
    637: }
    638: static inline void DMPlex_MatMultTransposeLeft3D_Internal(const PetscScalar A[], PetscInt m, PetscInt ldb, const PetscScalar B[], PetscScalar C[])
    639: {
    640:   for (PetscInt j = 0; j < m; ++j) DMPlex_Mult3D_Internal(A, 1, &B[j * ldb], &C[j * ldb]);
    641:   (void)PetscLogFlops(8.0 * m);
    642: }

    644: static inline void DMPlex_PTAP2DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
    645: {
    646:   PetscScalar out[4];
    647:   PetscInt    i, j, k, l;
    648:   for (i = 0; i < 2; ++i) {
    649:     for (j = 0; j < 2; ++j) {
    650:       out[i * 2 + j] = 0.;
    651:       for (k = 0; k < 2; ++k) {
    652:         for (l = 0; l < 2; ++l) out[i * 2 + j] += P[k * 2 + i] * A[k * 2 + l] * P[l * 2 + j];
    653:       }
    654:     }
    655:   }
    656:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
    657:   (void)PetscLogFlops(48.0);
    658: }
    659: static inline void DMPlex_PTAP3DReal_Internal(const PetscReal P[], const PetscScalar A[], PetscScalar C[])
    660: {
    661:   PetscScalar out[9];
    662:   PetscInt    i, j, k, l;
    663:   for (i = 0; i < 3; ++i) {
    664:     for (j = 0; j < 3; ++j) {
    665:       out[i * 3 + j] = 0.;
    666:       for (k = 0; k < 3; ++k) {
    667:         for (l = 0; l < 3; ++l) out[i * 3 + j] += P[k * 3 + i] * A[k * 3 + l] * P[l * 3 + j];
    668:       }
    669:     }
    670:   }
    671:   for (i = 0; i < 2 * 2; ++i) C[i] = out[i];
    672:   (void)PetscLogFlops(243.0);
    673: }
    674: /* TODO Fix for aliasing of A and C */
    675: static inline void DMPlex_PTAPReal_Internal(const PetscReal P[], PetscInt m, PetscInt n, const PetscScalar A[], PetscScalar C[])
    676: {
    677:   PetscInt i, j, k, l;
    678:   for (i = 0; i < n; ++i) {
    679:     for (j = 0; j < n; ++j) {
    680:       C[i * n + j] = 0.;
    681:       for (k = 0; k < m; ++k) {
    682:         for (l = 0; l < m; ++l) C[i * n + j] += P[k * n + i] * A[k * m + l] * P[l * n + j];
    683:       }
    684:     }
    685:   }
    686:   (void)PetscLogFlops(243.0);
    687: }

    689: static inline void DMPlex_Transpose2D_Internal(PetscScalar A[])
    690: {
    691:   PetscScalar tmp;
    692:   tmp  = A[1];
    693:   A[1] = A[2];
    694:   A[2] = tmp;
    695: }
    696: static inline void DMPlex_Transpose3D_Internal(PetscScalar A[])
    697: {
    698:   PetscScalar tmp;
    699:   tmp  = A[1];
    700:   A[1] = A[3];
    701:   A[3] = tmp;
    702:   tmp  = A[2];
    703:   A[2] = A[6];
    704:   A[6] = tmp;
    705:   tmp  = A[5];
    706:   A[5] = A[7];
    707:   A[7] = tmp;
    708: }

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

    715:   invJ[0] = invDet * J[3];
    716:   invJ[1] = -invDet * J[1];
    717:   invJ[2] = -invDet * J[2];
    718:   invJ[3] = invDet * J[0];
    719:   (void)PetscLogFlops(5.0);
    720: }

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

    727:   invJ[0 * 3 + 0] = invDet * (J[1 * 3 + 1] * J[2 * 3 + 2] - J[1 * 3 + 2] * J[2 * 3 + 1]);
    728:   invJ[0 * 3 + 1] = invDet * (J[0 * 3 + 2] * J[2 * 3 + 1] - J[0 * 3 + 1] * J[2 * 3 + 2]);
    729:   invJ[0 * 3 + 2] = invDet * (J[0 * 3 + 1] * J[1 * 3 + 2] - J[0 * 3 + 2] * J[1 * 3 + 1]);
    730:   invJ[1 * 3 + 0] = invDet * (J[1 * 3 + 2] * J[2 * 3 + 0] - J[1 * 3 + 0] * J[2 * 3 + 2]);
    731:   invJ[1 * 3 + 1] = invDet * (J[0 * 3 + 0] * J[2 * 3 + 2] - J[0 * 3 + 2] * J[2 * 3 + 0]);
    732:   invJ[1 * 3 + 2] = invDet * (J[0 * 3 + 2] * J[1 * 3 + 0] - J[0 * 3 + 0] * J[1 * 3 + 2]);
    733:   invJ[2 * 3 + 0] = invDet * (J[1 * 3 + 0] * J[2 * 3 + 1] - J[1 * 3 + 1] * J[2 * 3 + 0]);
    734:   invJ[2 * 3 + 1] = invDet * (J[0 * 3 + 1] * J[2 * 3 + 0] - J[0 * 3 + 0] * J[2 * 3 + 1]);
    735:   invJ[2 * 3 + 2] = invDet * (J[0 * 3 + 0] * J[1 * 3 + 1] - J[0 * 3 + 1] * J[1 * 3 + 0]);
    736:   (void)PetscLogFlops(37.0);
    737: }

    739: static inline void DMPlex_Det2D_Internal(PetscReal *detJ, const PetscReal J[])
    740: {
    741:   *detJ = J[0] * J[3] - J[1] * J[2];
    742:   (void)PetscLogFlops(3.0);
    743: }

    745: static inline void DMPlex_Det3D_Internal(PetscReal *detJ, const PetscReal J[])
    746: {
    747:   *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]));
    748:   (void)PetscLogFlops(12.0);
    749: }

    751: static inline void DMPlex_Det2D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
    752: {
    753:   *detJ = PetscRealPart(J[0]) * PetscRealPart(J[3]) - PetscRealPart(J[1]) * PetscRealPart(J[2]);
    754:   (void)PetscLogFlops(3.0);
    755: }

    757: static inline void DMPlex_Det3D_Scalar_Internal(PetscReal *detJ, const PetscScalar J[])
    758: {
    759:   *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])));
    760:   (void)PetscLogFlops(12.0);
    761: }

    763: static inline void DMPlex_WaxpyD_Internal(PetscInt dim, PetscReal a, const PetscReal *x, const PetscReal *y, PetscReal *w)
    764: {
    765:   PetscInt d;
    766:   for (d = 0; d < dim; ++d) w[d] = a * x[d] + y[d];
    767: }

    769: static inline PetscReal DMPlex_DotD_Internal(PetscInt dim, const PetscScalar *x, const PetscReal *y)
    770: {
    771:   PetscReal sum = 0.0;
    772:   PetscInt  d;
    773:   for (d = 0; d < dim; ++d) sum += PetscRealPart(x[d]) * y[d];
    774:   return sum;
    775: }

    777: static inline PetscReal DMPlex_DotRealD_Internal(PetscInt dim, const PetscReal *x, const PetscReal *y)
    778: {
    779:   PetscReal sum = 0.0;
    780:   PetscInt  d;
    781:   for (d = 0; d < dim; ++d) sum += x[d] * y[d];
    782:   return sum;
    783: }

    785: static inline PetscReal DMPlex_NormD_Internal(PetscInt dim, const PetscReal *x)
    786: {
    787:   PetscReal sum = 0.0;
    788:   PetscInt  d;
    789:   for (d = 0; d < dim; ++d) sum += x[d] * x[d];
    790:   return PetscSqrtReal(sum);
    791: }

    793: static inline PetscReal DMPlex_DistD_Internal(PetscInt dim, const PetscScalar *x, const PetscScalar *y)
    794: {
    795:   PetscReal sum = 0.0;
    796:   PetscInt  d;
    797:   for (d = 0; d < dim; ++d) sum += PetscRealPart(PetscConj(x[d] - y[d]) * (x[d] - y[d]));
    798:   return PetscSqrtReal(sum);
    799: }

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

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

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

    825: PETSC_INTERN PetscErrorCode DMPeriodicCoordinateSetUp_Internal(DM);

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

    848: // Coordinate mapping functions
    849: 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[]);
    850: 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[]);
    851: 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[]);
    852: 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[]);
    853: 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[]);

    855: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel_EGADS(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);
    856: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel_EGADSLite(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);