CGAL 2D and 3D Kernel Reference Manual:

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CGAL::squared_distance

#include <CGAL/squared_distance_2.h>

R::FT squared_distance ( Type1<R> obj1, Type2<R> obj2)
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:

In 3D, the types Type1 and Type2 can be any of the following:

R::FT	squared_distance ( Type1<R> obj1, Type2<R> obj2)
		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.

CGAL::squared_distance

See Also