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. More...
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. More...
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. \( 0\). More...
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. More...
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. More...
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. More...
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. \( 0\). More...

Function Documentation

squared_radius() [1/7]

template<typename Kernel >

FT CGAL::squared_radius

(

const CGAL::Point_2< Kernel > &

p

)

#include <CGAL/Kernel/global_functions.h>

compute the squared radius of the smallest circle passing through p, i.e. \( 0\).

squared_radius() [2/7]

template<typename Kernel >

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

#include <CGAL/Kernel/global_functions.h>

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.

squared_radius() [3/7]

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() [4/7]

template<typename Kernel >

FT CGAL::squared_radius

(

const CGAL::Point_3< Kernel > &

p

)

#include <CGAL/Kernel/global_functions.h>

compute the squared radius of the smallest circle passing through p, i.e. \( 0\).

squared_radius() [5/7]

template<typename Kernel >

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

#include <CGAL/Kernel/global_functions.h>

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.

squared_radius() [6/7]

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
	)

#include <CGAL/Kernel/global_functions.h>

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.

squared_radius() [7/7]

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.