CGAL::compare_x_at_y()

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/Kernel/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/Kernel/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/Kernel/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/Kernel/global_functions.h>