 CGAL 4.12.1 - 2D and 3D Linear Geometry Kernel
CGAL::circumcenter()

Functions

template<typename Kernel >
CGAL::Point_2< KernelCGAL::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< KernelCGAL::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< KernelCGAL::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< KernelCGAL::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< KernelCGAL::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< KernelCGAL::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< KernelCGAL::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< KernelCGAL::circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
compute the center of the sphere passing through the vertices of t. More...

◆ circumcenter() [1/8]

template<typename Kernel >
 CGAL::Point_2 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 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 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 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 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 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 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 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.