\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D and 3D Linear Geometry Kernel

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
Kernel::ConstructCircumcenter_3 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with four arguments)

See Also
  `CGAL::circumcenter()`

## Operations
A model of this concept must provide:
Kernel::Point_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q)
| compute the center of the smallest circle passing through the points `p` and `q`. More...
Kernel::Point_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s)
| compute the center of the sphere passing through the points `p`, `q`, `r`, and `s`. More...
Kernel::Point_3 | operator() (const Kernel::Tetrahedron_3 &t)
| compute the center of the sphere passing through the vertices of `t`. More...
Kernel::Point_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r)
| compute the center of the circle passing through the points `p`, `q` and `r`. More...
Kernel::Point_3 | operator() (const Kernel::Triangle_3 &t)
| compute the center of the circle passing through the vertices of `t`. More...

## Member Function Documentation

Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() | ( | const Kernel::Point_3 & | p,
|  | const Kernel::Point_3 & | q
| ) |  |

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

Note : this is the same as `Kernel::ConstructMidpoint_3`.

Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() | ( | const Kernel::Point_3 & | p,
|  | const Kernel::Point_3 & | q,
|  | const Kernel::Point_3 & | r,
|  | const Kernel::Point_3 & | s
| ) |  |

compute the center of the sphere passing through the points `p`, `q`, `r`, and `s`.

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

Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() | ( | const Kernel::Tetrahedron_3 & | t) |  |

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

Precondition
  `t` is not degenerate.

Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() | ( | const Kernel::Point_3 & | p,
|  | const Kernel::Point_3 & | q,
|  | const Kernel::Point_3 & | r
| ) |  |

compute the center of the circle passing through the points `p`, `q` and `r`.

Precondition
  `p`, `q` and `r` are not collinear.

Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() | ( | const Kernel::Triangle_3 & | t) |  |

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

Precondition
  `t` is not degenerate.