CGAL 5.5.1  2D and 3D Linear Geometry Kernel

Functions  
template<typename Kernel >  
Kernel::FT  CGAL::squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2) 
computes the square of the Euclidean distance between two geometric objects. More...  
Kernel::FT CGAL::squared_distance  (  Type1< Kernel >  obj1, 
Type2< Kernel >  obj2  
) 
#include <CGAL/squared_distance_2.h>
computes the square of the Euclidean distance between two geometric objects.
For arbitrary geometric objects obj1
and obj2
the squared distance is defined as the minimal squared_distance(p1, p2)
, where p1
is a point of obj1
and p2
is a point of obj2
. Note that for objects that have an inside (a bounded region), this inside is part of the object. So, the squared distance from a point inside is zero, not the squared distance to the closest point on the boundary.
In 2D, the types Type1
and Type2
can be any of the following:
as well as any combination of Kernel::Point_2
and Kernel::Weighted_point_2
In 3D, the types Type1
and Type2
can be any of the following:
as well as the following combinations:
Point_3
/Triangle_3
Point_3
/Tetrahedron_3
Weighted_point_3
/Triangle_3
Weighted_point_3
/Tetrahedron_3
Triangle_3
/Triangle_3
CGAL::compare_distance_to_point()
CGAL::compare_signed_distance_to_line()
CGAL::compare_signed_distance_to_plane()
CGAL::has_larger_distance_to_point()
CGAL::has_larger_signed_distance_to_line()
CGAL::has_larger_signed_distance_to_plane()
CGAL::has_smaller_distance_to_point()
CGAL::has_smaller_signed_distance_to_line()
CGAL::has_smaller_signed_distance_to_plane()