CGAL::circumcenter()

Functions
template<typename Kernel >
CGAL::Point_2< Kernel >	CGAL::circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
	compute the center of the smallest circle passing through the points p and q. More...
template<typename Kernel >
CGAL::Point_2< Kernel >	CGAL::circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
	compute the center of the circle passing through the points p, q, and r. More...
template<typename Kernel >
CGAL::Point_2< Kernel >	CGAL::circumcenter (const CGAL::Triangle_2< Kernel > &t)
	compute the center of the circle passing through the vertices of t. More...
template<typename Kernel >
CGAL::Point_3< Kernel >	CGAL::circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
	compute the center of the smallest sphere passing through the points p and q. More...
template<typename Kernel >
CGAL::Point_3< Kernel >	CGAL::circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
	compute the center of the circle passing through the points p, q, and r. More...
template<typename Kernel >
CGAL::Point_3< Kernel >	CGAL::circumcenter (const CGAL::Triangle_3< Kernel > &t)
	compute the center of the circle passing through the vertices of t. More...
template<typename Kernel >
CGAL::Point_3< Kernel >	CGAL::circumcenter (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 center of the sphere passing through the points p, q, r, and s. More...
template<typename Kernel >
CGAL::Point_3< Kernel >	CGAL::circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
	compute the center of the sphere passing through the vertices of t. More...

Function Documentation

circumcenter() [1/8]

template<typename Kernel >

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

#include <CGAL/Kernel/global_functions.h>

compute the center of the smallest circle passing through the points p and q.

Note: this is the same as CGAL::midpoint(p, q) but is provided for homogeneity.

circumcenter() [2/8]

template<typename Kernel >

CGAL::Point_2<Kernel> CGAL::circumcenter	(	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 center of the circle passing through the points p, q, and r.

Precondition

p, q, and r are not collinear.

circumcenter() [3/8]

template<typename Kernel >

CGAL::Point_2<Kernel> CGAL::circumcenter

(

const CGAL::Triangle_2< Kernel > &

t

)

#include <CGAL/Kernel/global_functions.h>

compute the center of the circle passing through the vertices of t.

Precondition

t is not degenerate.

circumcenter() [4/8]

template<typename Kernel >

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

#include <CGAL/Kernel/global_functions.h>

compute the center of the smallest sphere passing through the points p and q.

Note: this is the same as CGAL::midpoint(p, q) but is provided for homogeneity.

circumcenter() [5/8]

template<typename Kernel >

CGAL::Point_3<Kernel> CGAL::circumcenter	(	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 center of the circle passing through the points p, q, and r.

Precondition

p, q, and r are not collinear.

circumcenter() [6/8]

template<typename Kernel >

CGAL::Point_3<Kernel> CGAL::circumcenter

(

const CGAL::Triangle_3< Kernel > &

t

)

#include <CGAL/Kernel/global_functions.h>

compute the center of the circle passing through the vertices of t.

Precondition

t is not degenerate.

circumcenter() [7/8]

template<typename Kernel >

CGAL::Point_3<Kernel> CGAL::circumcenter	(	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 center of the sphere passing through the points p, q, r, and s.

Precondition

p, q, r, and s are not coplanar.

circumcenter() [8/8]

template<typename Kernel >

CGAL::Point_3<Kernel> CGAL::circumcenter

(

const CGAL::Tetrahedron_3< Kernel > &

t

)

#include <CGAL/Kernel/global_functions.h>

compute the center of the sphere passing through the vertices of t.

Precondition

t is not degenerate.