epa.h

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#ifndef FCL_NARROWPHASE_DETAIL_EPA_H
#define FCL_NARROWPHASE_DETAIL_EPA_H
 
#include "fcl/narrowphase/detail/convexity_based_algorithm/gjk.h"
 
namespace fcl
{
 
namespace detail
{
 
//static const size_t EPA_MAX_FACES = 128;
//static const size_t EPA_MAX_VERTICES = 64;
//static const S EPA_EPS = 0.000001;
//static const size_t EPA_MAX_ITERATIONS = 255;
// TODO(JS): remove?
 
template <typename S>
struct FCL_EXPORT EPA
{
private:
  using SimplexV = typename GJK<S>::SimplexV;
 
  struct SimplexF
  {
    Vector3<S> n;
    S d;
    SimplexV* c[3]; // a face has three vertices
    SimplexF* f[3]; // a face has three adjacent faces
    SimplexF* l[2]; // the pre and post faces in the list
    size_t e[3];
    size_t pass;
  };
 
  struct SimplexList
  {
    SimplexF* root;
    size_t count;
 
    SimplexList();
 
    void append(SimplexF* face);
 
    void remove(SimplexF* face);
  };
 
  static void bind(SimplexF* fa, size_t ea, SimplexF* fb, size_t eb);
 
  struct SimplexHorizon
  {
    SimplexF* cf; // current face in the horizon
    SimplexF* ff; // first face in the horizon
    size_t nf; // number of faces in the horizon
    SimplexHorizon() : cf(nullptr), ff(nullptr), nf(0) {}
  };
 
private:
  unsigned int max_face_num;
  unsigned int max_vertex_num;
  unsigned int max_iterations;
  S tolerance;
 
public:
 
  enum Status {Valid, Touching, Degenerated, NonConvex, InvalidHull, OutOfFaces, OutOfVertices, AccuracyReached, FallBack, Failed};
  
  Status status;
  typename GJK<S>::Simplex result;
  Vector3<S> normal;
  S depth;
  SimplexV* sv_store;
  SimplexF* fc_store;
  size_t nextsv;
  SimplexList hull, stock;
 
  EPA(
      unsigned int max_face_num_,
      unsigned int max_vertex_num_,
      unsigned int max_iterations_,
      S tolerance_);
 
  ~EPA();
 
  void initialize();
 
  bool getEdgeDist(SimplexF* face, SimplexV* a, SimplexV* b, S& dist);
 
  SimplexF* newFace(SimplexV* a, SimplexV* b, SimplexV* c, bool forced);
 
  SimplexF* findBest();
 
  Status evaluate(GJK<S>& gjk, const Vector3<S>& guess);
 
  bool expand(size_t pass, SimplexV* w, SimplexF* f, size_t e, SimplexHorizon& horizon);  
};
 
using EPAf = EPA<float>;
using EPAd = EPA<double>;
 
} // namespace detail
} // namespace fcl
 
#include "fcl/narrowphase/detail/convexity_based_algorithm/epa-inl.h"
 
#endif