CGAL 4.7 - 2D and 3D Linear Geometry Kernel: Kernel::ConstructVertex_3 Concept Reference

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

CGAL 4.7 - 2D and 3D Linear Geometry Kernel

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
Kernel::ConstructVertex_3 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with two arguments)

See Also
  `CGAL::Iso_cuboid_3<Kernel>`
  `CGAL::Segment_3<Kernel>`
  `CGAL::Tetrahedron_3<Kernel>`
  `CGAL::Triangle_3<Kernel>`

## Operations

A model of this concept must provide:
Kernel::Point_3 | operator() (const Kernel::Segment_3 &s, int i)
| returns source or target of `s`: `fo``(s,0)` returns the source of `s`, `fo``(s,1)` returns the target of `s`. More...
Kernel::Point_3 | operator() (const Kernel::Iso_cuboid_3 &c, int i)
| returns the i'th vertex of `c`, as indicated in the figure below. More...
Kernel::Point_3 | operator() (const Kernel::Triangle_3 &t, int i)
| returns the i'th vertex of `t`. More...
Kernel::Point_3 | operator() (const Kernel::Tetrahedron_3 &t, int i)
| returns the i'th vertex of `t`. More...

## Member Function Documentation

Kernel::Point_3 Kernel::ConstructVertex_3::operator() | ( | const Kernel::Segment_3 & | s,
|  | int | i
| ) |  |

returns source or target of `s`: `fo``(s,0)` returns the source of `s`, `fo``(s,1)` returns the target of `s`.

The parameter `i` is taken modulo 2.

Kernel::Point_3 Kernel::ConstructVertex_3::operator() | ( | const Kernel::Iso_cuboid_3 & | c,
|  | int | i
| ) |  |

returns the i'th vertex of `c`, as indicated in the figure below.

The parameter `i` is taken modulo 8.

Kernel::Point_3 Kernel::ConstructVertex_3::operator() | ( | const Kernel::Triangle_3 & | t,
|  | int | i
| ) |  |

returns the i'th vertex of `t`.

The parameter `i` is taken modulo 3.

Kernel::Point_3 Kernel::ConstructVertex_3::operator() | ( | const Kernel::Tetrahedron_3 & | t,
|  | int | i
| ) |  |

returns the i'th vertex of `t`.

The parameter `i` is taken modulo 4.