CGAL 6.2 - 2D and 3D Linear Geometry Kernel: Kernel::ComputeSquaredRadius_3 Concept Reference

CGAL 6.2 - 2D and 3D Linear Geometry Kernel

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Kernel::ComputeSquaredRadius_3 Concept Reference
Reference Manual » Concepts » Kernel Function Object Concepts

## Definition

Refines
  `AdaptableUnaryFunction`

See also
  `CGAL::Sphere_3<Kernel>`
  `CGAL::Circle_3<Kernel>`
  `CGAL::squared_radius()`

## 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`.
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

## ◆ operator()()

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.