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

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>