Mesh3D_DEM_SaddleStarter.h

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//  Copyright (c) 2016, Los Alamos National Security, LLC
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//  This code is based on the algorithm presented in the paper:
//  “Parallel Peak Pruning for Scalable SMP Contour Tree Computation.”
//  Hamish Carr, Gunther Weber, Christopher Sewell, and James Ahrens.
//  Proceedings of the IEEE Symposium on Large Data Analysis and Visualization
//  (LDAV), October 2016, Baltimore, Maryland.
 
//=======================================================================================
//
// COMMENTS:
//
// This functor replaces a parallel loop examining neighbours - again, for arbitrary
// meshes, it needs to be a reduction, but for regular meshes, it's faster this way.
//
// Any vector needed by the functor for lookup purposes will be passed as a parameter to
// the constructor and saved, with the actual function call being the operator ()
//
// Vectors marked I/O are intrinsically risky unless there is an algorithmic guarantee
// that the read/writes are completely independent - which for our case actually occurs
// The I/O vectors should therefore be justified in comments both here & in caller
//
//=======================================================================================
 
#ifndef vtkm_worklet_contourtree_mesh3d_dem_saddle_starter_h
#define vtkm_worklet_contourtree_mesh3d_dem_saddle_starter_h
 
#include <vtkm/filter/scalar_topology/worklet/contourtree/LinkComponentCaseTable3D.h>
#include <vtkm/filter/scalar_topology/worklet/contourtree/Mesh3D_DEM_Triangulation_Macros.h>
#include <vtkm/worklet/WorkletMapField.h>
 
namespace vtkm
{
namespace worklet
{
namespace contourtree
{
 
// Worklet for setting initial chain maximum value
class Mesh3D_DEM_SaddleStarter : public vtkm::worklet::WorkletMapField
{
public:
  using PairType = vtkm::List<vtkm::Pair<vtkm::Id, vtkm::Id>>;
 
  using ControlSignature = void(FieldIn vertex,          // (input) index into active vertices
                                FieldIn outDegFirstEdge, // (input) out degree/first edge of vertex
                                FieldIn valueIndex,      // (input) index into regular graph
                                WholeArrayIn linkMask,   // (input) neighbors of vertex
                                WholeArrayIn arcArray,   // (input) chain extrema per vertex
                                WholeArrayIn inverseIndex,   // (input) permutation of index
                                WholeArrayIn neighbourTable, // (input) table for neighbour offsets
                                WholeArrayIn caseTable,      // (input) case table for neighbours
                                WholeArrayOut edgeNear,      // (output) low end of edges
                                WholeArrayOut edgeFar,       // (output) high end of edges
                                WholeArrayOut activeEdges);  // (output) active edge list
  using ExecutionSignature = void(_1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11);
  using InputDomain = _1;
 
  vtkm::Id nRows;   // (input) number of rows in 3D
  vtkm::Id nCols;   // (input) number of cols in 3D
  vtkm::Id nSlices; // (input) number of cols in 3D
  bool ascending;   // (input) ascending or descending (join or split)
 
  // Constructor
  VTKM_EXEC_CONT
  Mesh3D_DEM_SaddleStarter(vtkm::Id NRows, vtkm::Id NCols, vtkm::Id NSlices, bool Ascending)
    : nRows(NRows)
    , nCols(NCols)
    , nSlices(NSlices)
    , ascending(Ascending)
  {
  }
 
  // operator() routine that executes the loop
  template <typename InFieldPortalType,
            typename NeighbourTableType,
            typename CaseTableType,
            typename OutFieldPortalType>
  VTKM_EXEC void operator()(const vtkm::Id& vertex,
                            const vtkm::Pair<vtkm::Id, vtkm::Id>& outDegFirstEdge,
                            const vtkm::Id& valueIndex,
                            const InFieldPortalType& linkMask,
                            const InFieldPortalType& arcArray,
                            const InFieldPortalType& inverseIndex,
                            const NeighbourTableType& neighbourTable,
                            const CaseTableType& caseTable,
                            const OutFieldPortalType& edgeNear,
                            const OutFieldPortalType& edgeFar,
                            const OutFieldPortalType& activeEdges) const
  {
    vtkm::Id outdegree = outDegFirstEdge.first;
    vtkm::Id firstEdge = outDegFirstEdge.second;
    // skip local extrema
    if (outdegree == 0)
      return;
 
    // get the saddle mask for the vertex
    vtkm::Id nbrMask = linkMask.Get(valueIndex);
 
    // get the row and column
    vtkm::Id row = VERTEX_ROW_3D(valueIndex, nRows, nCols);
    vtkm::Id col = VERTEX_COL_3D(valueIndex, nRows, nCols);
    vtkm::Id slice = VERTEX_SLICE_3D(valueIndex, nRows, nCols);
 
    // we know which edges are outbound, so we count to get the outdegree
    vtkm::Id outDegree = 0;
    vtkm::Id farEnds[MAX_OUTDEGREE_3D];
 
    for (vtkm::Id edgeNo = 0; edgeNo < N_INCIDENT_EDGES_3D; edgeNo++)
    {
      if (caseTable.Get(nbrMask) & (1 << edgeNo))
      {
        vtkm::Id indx = edgeNo * 3;
        vtkm::Id nbrSlice = slice + neighbourTable.Get(indx);
        vtkm::Id nbrRow = row + neighbourTable.Get(indx + 1);
        vtkm::Id nbrCol = col + neighbourTable.Get(indx + 2);
        vtkm::Id nbr = VERTEX_ID_3D(nbrSlice, nbrRow, nbrCol, nRows, nCols);
 
        farEnds[outDegree++] = inverseIndex.Get(arcArray.Get(nbr));
      }
    }
 
    // now we check them against each other
    if ((outDegree == 2) && (farEnds[0] == farEnds[1]))
    { // outDegree 2 & both match
      // treat as a regular point
      outDegree = 1;
    } // outDegree 2 & both match
    else if (outDegree == 3)
    { // outDegree 3
      if (farEnds[0] == farEnds[1])
      { // first two match
        if (farEnds[0] == farEnds[2])
        { // triple match
          // all match - treat as regular point
          outDegree = 1;
        } // triple match
        else
        { // first two match, but not third
          // copy third down one place
          farEnds[1] = farEnds[2];
          // and reset the count
          outDegree = 2;
        } //
      }   // first two match
      else if ((farEnds[0] == farEnds[2]) || (farEnds[1] == farEnds[2]))
      { // second one matches either of the first two
        // decrease the count, keeping 0 & 1
        outDegree = 2;
      } // second one matches either of the first two
    }   // outDegree 3
 
    // now the farEnds array holds the far ends we can reach
    for (vtkm::Id edge = 0; edge < outDegree; edge++)
    {
      // compute the edge index in the edge arrays
      vtkm::Id edgeID = firstEdge + edge;
 
      // now set the near and far ends and save the edge itself
      edgeNear.Set(edgeID, vertex);
      edgeFar.Set(edgeID, farEnds[edge]);
      activeEdges.Set(edgeID, edgeID);
    } // per start
  }   // operator()
 
}; // Mesh3D_DEM_SaddleStarter
}
}
}
 
#endif