CGAL 4.7 - 2D and 3D Linear Geometry Kernel: Kernel::ConstructCircumcenter_2 Concept Reference

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CGAL 4.7 - 2D and 3D Linear Geometry Kernel

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Kernel::ConstructCircumcenter_2 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with three arguments)

See Also
  `CGAL::circumcenter()`

## Operations

A model of this concept must provide:
Kernel::Point_2 | operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q)
| compute the center of the smallest circle passing through the points `p` and `q`. More...
Kernel::Point_2 | operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q, const Kernel::Point_2 &r)
| compute the center of the circle passing through the points `p`, `q`, and `r`. More...
Kernel::Point_2 | operator() (const Kernel::Triangle_2 &t)
| compute the center of the circle passing through the three vertices of `t`. More...

## Member Function Documentation

Kernel::Point_2 Kernel::ConstructCircumcenter_2::operator() | ( | const Kernel::Point_2 & | p,
|  | const Kernel::Point_2 & | q
| ) |  |

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

Note : this is the same as `Kernel::ConstructMidpoint_2`.

Kernel::Point_2 Kernel::ConstructCircumcenter_2::operator() | ( | const Kernel::Point_2 & | p,
|  | const Kernel::Point_2 & | q,
|  | const Kernel::Point_2 & | 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_2 Kernel::ConstructCircumcenter_2::operator() | ( | const Kernel::Triangle_2 & | t) |  |

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

Precondition
  `t` is not degenerate.