CGAL 6.2 - 2D and 3D Linear Geometry Kernel: CGAL::side_of_bounded_sphere()

CGAL 6.2 - 2D and 3D Linear Geometry Kernel

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Functions
CGAL::side_of_bounded_sphere()
Reference Manual » Global Kernel Functions

##

See also
  `CGAL::side_of_oriented_sphere()`

## Functions
template<typename Kernel >
Bounded_side | CGAL::side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
| returns the relative position of point `t` to the sphere defined by `p`, `q`, `r`, and `s`.
template<typename Kernel >
Bounded_side | CGAL::side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &t)
| returns the position of the point `t` relative to the sphere passing through `p`, `q`, and `r` and whose center is in the plane defined by these three points.
template<typename Kernel >
Bounded_side | CGAL::side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &t)
| returns the position of the point `t` relative to the sphere that has `pq` as its diameter.

## Function Documentation

## ◆ side_of_bounded_sphere()

template<typename Kernel >

Bounded_side CGAL::side_of_bounded_sphere | ( | const CGAL::Point_3< Kernel > & | p,
|  | const CGAL::Point_3< Kernel > & | q,
|  | const CGAL::Point_3< Kernel > & | r,
|  | const CGAL::Point_3< Kernel > & | s,
|  | const CGAL::Point_3< Kernel > & | t
| ) |  |

`#include <CGAL/Kernel/global_functions.h>`

returns the relative position of point `t` to the sphere defined by `p`, `q`, `r`, and `s`.

The order of the points `p`, `q`, `r`, and `s` does not matter.

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