CGAL 4.7 - 2D and 3D Linear Geometry Kernel: Kernel::CompareX_2 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

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Kernel::CompareX_2 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with two arguments)

See Also
  `CGAL::compare_x()`

## Operations

A model of this concept must provide:
Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q)
| compares the Cartesian \( x\)-coordinates of points `p` and `q`
Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Line_2 &l1, const Kernel::Line_2 &l2)
| compares the \( x\)-coordinates of `p` and the intersection of lines `l1` and `l2`. More...
Comparison_result | operator() (const Kernel::Line_2 &l, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2)
| compares the `x`-coordinates of the intersection of line `l` with line `h1` and with line `h2`. More...
Comparison_result | operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2)
| compares the \( x\)-coordinates of the intersection of lines `l1` and `l2` and the intersection of lines `h1` and `h2`. More...

## Member Function Documentation

Comparison_result Kernel::CompareX_2::operator() | ( | const Kernel::Point_2 & | p,
|  | const Kernel::Line_2 & | l1,
|  | const Kernel::Line_2 & | l2
| ) |  |

compares the \( x\)-coordinates of `p` and the intersection of lines `l1` and `l2`.

See Figure fig-compare12 (a).

Comparison_result Kernel::CompareX_2::operator() | ( | const Kernel::Line_2 & | l,
|  | const Kernel::Line_2 & | h1,
|  | const Kernel::Line_2 & | h2
| ) |  |

compares the `x`-coordinates of the intersection of line `l` with line `h1` and with line `h2`.

See Figure fig-compare12 (b).

Comparison_result Kernel::CompareX_2::operator() | ( | const Kernel::Line_2 & | l1,
|  | const Kernel::Line_2 & | l2,
|  | const Kernel::Line_2 & | h1,
|  | const Kernel::Line_2 & | h2
| ) |  |

compares the \( x\)-coordinates of the intersection of lines `l1` and `l2` and the intersection of lines `h1` and `h2`.

See Figure fig-compare12 (c).