CGAL 5.2.2  2D Movable Separability of Sets

These functions determine whether a cavity (of a mold in the plane) that has the shape of a given polygon could be casted in the mold using a given edge as the top edge and then pulled out of the mold without colliding into the mold (but possibly sliding along the mold boundary).
If the polygon is castable this way, the function computes the closed range of pullout directions.
Functions  
template<typename CastingTraits_2 >  
std::pair< bool, std::pair< typename CastingTraits_2::Direction_2, typename CastingTraits_2::Direction_2 > >  CGAL::Set_movable_separability_2::Single_mold_translational_casting::pullout_directions (const CGAL::Polygon_2< CastingTraits_2 > &polygon, const typename CGAL::Polygon_2< CastingTraits_2 >::Edge_const_iterator &it, CastingTraits_2 &traits=CastingTraits_2()) 
Given a simple polygon and an edge of the polygon, this function determines whether a cavity (of a mold in the plane) that has the shape of the polygon can be used so that the polygon could be casted in the mold using the input edge as the top edge and then pulled out of the mold without colliding into the mold (but possibly sliding along the mold surface). More...  
template<typename CastingTraits_2 >  
std::pair< bool, std::pair< typename CastingTraits_2::Direction_2, typename CastingTraits_2::Direction_2 > >  CGAL::Set_movable_separability_2::Single_mold_translational_casting::pullout_directions (const CGAL::Polygon_2< CastingTraits_2 > &polygon, const typename CGAL::Polygon_2< CastingTraits_2 >::Edge_const_iterator &it, CGAL::Orientation orientation, CastingTraits_2 &traits=CastingTraits_2()) 
Same as above with the additional orientation argument. More...  
std::pair<bool, std::pair<typename CastingTraits_2::Direction_2, typename CastingTraits_2::Direction_2> > CGAL::Set_movable_separability_2::Single_mold_translational_casting::pullout_directions  (  const CGAL::Polygon_2< CastingTraits_2 > &  polygon, 
const typename CGAL::Polygon_2< CastingTraits_2 >::Edge_const_iterator &  it,  
CastingTraits_2 &  traits = CastingTraits_2() 

) 
#include <CGAL/Set_movable_separability_2/Single_mold_translational_casting/pullout_directions.h>
Given a simple polygon and an edge of the polygon, this function determines whether a cavity (of a mold in the plane) that has the shape of the polygon can be used so that the polygon could be casted in the mold using the input edge as the top edge and then pulled out of the mold without colliding into the mold (but possibly sliding along the mold surface).
If the polygon is castable this way, the function computes the closed range of pullout directions.
The type that substitutes the template parameter CastingTraits_2
must be a model of the concept CastingTraits_2
.
polygon  the input polygon. 
it  an iterator to an edge in polygon. 
traits  the traits to use. 
polygon
must be nondegenerate (has at least 3 vertices) and simple, and it does not have three consecutive collinear vertices. std::pair<bool, std::pair<typename CastingTraits_2::Direction_2, typename CastingTraits_2::Direction_2> > CGAL::Set_movable_separability_2::Single_mold_translational_casting::pullout_directions  (  const CGAL::Polygon_2< CastingTraits_2 > &  polygon, 
const typename CGAL::Polygon_2< CastingTraits_2 >::Edge_const_iterator &  it,  
CGAL::Orientation  orientation,  
CastingTraits_2 &  traits = CastingTraits_2() 

) 
#include <CGAL/Set_movable_separability_2/Single_mold_translational_casting/pullout_directions.h>
Same as above with the additional orientation
argument.
If the orientation of the polygon is known upon invocation, specify it. Otherwise, it has to be computed. Note that finding the orientation of a polygon requires time linear in the number of edges.
polygon  the input polygon. 
it  an iterator to an edge in polygon. 
orientation  the orientation of polygon . 
traits  the traits to use. 
polygon
must be nondegenerate (has at least 3 vertices) and simple, and it does not have three consecutive collinear vertices.