CGAL 4.7 - 2D and 3D Linear Geometry Kernel: CGAL::compare_x_at_y()

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

CGAL 4.7 - 2D and 3D Linear Geometry Kernel

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Functions
CGAL::compare_x_at_y()
Global Kernel Functions

##

See Also
  `CGAL::compare_xy()`
  `CGAL::compare_xyz()`
  `CGAL::compare_x()`
  `CGAL::compare_y()`
  `CGAL::compare_yx()`
  `CGAL::compare_y_at_x()`
  `CGAL::compare_z()`

## Functions

template<typename Kernel >
Comparison_result | CGAL::compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
| compares the \( x\)-coordinates of `p` and the horizontal projection of `p` on `h`. More...
template<typename Kernel >
Comparison_result | CGAL::compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
| This function compares the \( x\)-coordinates of the horizontal projection of `p` on `h1` and on `h2`. More...
template<typename Kernel >
Comparison_result | CGAL::compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
| Let `p` be the intersection of lines `l1` and `l2`. More...
template<typename Kernel >
Comparison_result | CGAL::compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
| Let `p` be the intersection of lines `l1` and `l2`. More...

## Function Documentation

template<typename Kernel >

Comparison_result CGAL::compare_x_at_y | ( | const CGAL::Point_2< Kernel > & | p,
|  | const CGAL::Line_2< Kernel > & | h
| ) |  |

compares the \( x\)-coordinates of `p` and the horizontal projection of `p` on `h`.

See Figure figcomparexaty (a).

Precondition
  `h` is not horizontal.

`#include <CGAL/global_functions.h>`

template<typename Kernel >

Comparison_result CGAL::compare_x_at_y | ( | const CGAL::Point_2< Kernel > & | p,
|  | const CGAL::Line_2< Kernel > & | h1,
|  | const CGAL::Line_2< Kernel > & | h2
| ) |  |

This function compares the \( x\)-coordinates of the horizontal projection of `p` on `h1` and on `h2`.

See Figure figcomparexaty (b).

Precondition
  `h1` and `h2` are not horizontal.

`#include <CGAL/global_functions.h>`

template<typename Kernel >

Comparison_result CGAL::compare_x_at_y | ( | const CGAL::Line_2< Kernel > & | l1,
|  | const CGAL::Line_2< Kernel > & | l2,
|  | const CGAL::Line_2< Kernel > & | h
| ) |  |

Let `p` be the intersection of lines `l1` and `l2`.

This function compares the \( x\)-coordinates of `p` and the horizontal projection of `p` on `h`. See Figure figcomparexaty (c).

Precondition
  `l1` and `l2` intersect and are not horizontal; `h` is not horizontal.

`#include <CGAL/global_functions.h>`

template<typename Kernel >

Comparison_result CGAL::compare_x_at_y | ( | const CGAL::Line_2< Kernel > & | l1,
|  | const CGAL::Line_2< Kernel > & | l2,
|  | const CGAL::Line_2< Kernel > & | h1,
|  | const CGAL::Line_2< Kernel > & | h2
| ) |  |

Let `p` be the intersection of lines `l1` and `l2`.

This function compares the \( x\)-coordinates of the horizontal projection of `p` on `h1` and on `h2` See Figure figcomparexaty (d).

Precondition
  `l1` and `l2` intersect and are not horizontal; `h1` and `h2` are not horizontal.

`#include <CGAL/global_functions.h>`