#ifndef IGL_CGAL_OUTER_HULL_H
#define IGL_CGAL_OUTER_HULL_H
#include "../igl_inline.h"
#include <Eigen/Core>
namespace igl
{
  namespace cgal
  {
    // Compute the "outer hull" of a potentially non-manifold mesh (V,F) whose
    // intersections have been "resolved" (e.g. using `cork` or
    // `igl::cgal::selfintersect`). The outer hull is defined to be all facets
    // (regardless of orientation) for which there exists some path from infinity
    // to the face without intersecting any other facets. For solids, this is the
    // surface of the solid. In general this includes any thin "wings" or
    // "flaps".  This implementation largely follows Section 3.6 of "Direct
    // repair of self-intersecting meshes" [Attene 2014].
    //
    // Inputs:
    //   V  #V by 3 list of vertex positions
    //   F  #F by 3 list of triangle indices into V
    //   N  #F by 3 list of per-face normals
    // Outputs:
    //   G  #G by 3 list of output triangle indices into V
    //   J  #G list of indices into F
    //   flip  #F list of whether facet was added to G **and** flipped orientation
    //     (false for faces not added to G)
    template <
      typename DerivedV,
      typename DerivedF,
      typename DerivedN,
      typename DerivedG,
      typename DerivedJ,
      typename Derivedflip>
    IGL_INLINE void outer_hull(
      const Eigen::PlainObjectBase<DerivedV> & V,
      const Eigen::PlainObjectBase<DerivedF> & F,
      const Eigen::PlainObjectBase<DerivedN> & N,
      Eigen::PlainObjectBase<DerivedG> & G,
      Eigen::PlainObjectBase<DerivedJ> & J,
      Eigen::PlainObjectBase<Derivedflip> & flip);
    template <
      typename DerivedV,
      typename DerivedF,
      typename DerivedG,
      typename DerivedJ,
      typename Derivedflip>
    IGL_INLINE void outer_hull(
      const Eigen::PlainObjectBase<DerivedV> & V,
      const Eigen::PlainObjectBase<DerivedF> & F,
      Eigen::PlainObjectBase<DerivedG> & G,
      Eigen::PlainObjectBase<DerivedJ> & J,
      Eigen::PlainObjectBase<Derivedflip> & flip);
  }
}

#ifndef IGL_STATIC_LIBRARY
#  include "outer_hull.cpp"
#endif
#endif