CGAL::squared_radius()

See also

Circle_2<Kernel>_grp

Circle_3<Kernel>_grp

Sphere_3<Kernel>_grp

Functions
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
	compute the squared radius of the circle passing through the points p, q, and r.
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
	compute the squared radius of the smallest circle passing through p, and q, i.e. one fourth of the squared distance between p and q.
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_2< Kernel > &p)
	compute the squared radius of the smallest circle passing through p, i.e. \( 0\).
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
	compute the squared radius of the sphere passing through the points p, q, r and s.
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
	compute the squared radius of the sphere passing through the points p, q, and r and whose center is in the same plane as those three points.
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
	compute the squared radius of the smallest circle passing through p, and q, i.e. one fourth of the squared distance between p and q.
template<typename Kernel>
FT	CGAL::squared_radius (const CGAL::Point_3< Kernel > &p)
	compute the squared radius of the smallest circle passing through p, i.e. \( 0\).

Function Documentation

squared_radius() [1/2]

template<typename Kernel>

FT CGAL::squared_radius	(	const CGAL::Point_2< Kernel > &	p,
		const CGAL::Point_2< Kernel > &	q,
		const CGAL::Point_2< Kernel > &	r )

#include <CGAL/Kernel/global_functions.h>

compute the squared radius of the circle passing through the points p, q, and r.

Precondition

p, q, and r are not collinear.

squared_radius() [2/2]

template<typename Kernel>

FT CGAL::squared_radius	(	const CGAL::Point_3< Kernel > &	p,
		const CGAL::Point_3< Kernel > &	q,
		const CGAL::Point_3< Kernel > &	r,
		const CGAL::Point_3< Kernel > &	s )

#include <CGAL/Kernel/global_functions.h>

compute the squared radius of the sphere passing through the points p, q, r and s.

Precondition

p, q, r and s are not coplanar.