\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - 2D and 3D Linear Geometry Kernel
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Kernel::ComputeSquaredRadius_3 Concept Reference

Definition

Operations

A model of this concept must provide:

Kernel::FT operator() (const Kernel::Sphere_3 &s)
 returns the squared radius of s.
 
Kernel::FT operator() (const Kernel::Circle_3 &c)
 returns the squared radius of c.
 
Kernel::FT operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s)
 returns the squared radius of the sphere passing through p, q, r and s. More...
 
Kernel::FT operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r)
 returns the squared radius of the sphere passing through p, q and r, and whose center is in the plane defined by these three points.
 
Kernel::FT operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q)
 returns the squared radius of the smallest circle passing through p, and q, i.e. one fourth of the squared distance between p and q.
 
Kernel::FT operator() (const Kernel::Point_3 &p)
 returns the squared radius of the smallest circle passing through p, i.e. \( 0\).
 

Member Function Documentation

Kernel::FT Kernel::ComputeSquaredRadius_3::operator() ( const Kernel::Point_3 p,
const Kernel::Point_3 q,
const Kernel::Point_3 r,
const Kernel::Point_3 s 
)

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

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