CGAL::compare_y_at_x()

See also

CGAL::compare_xy()

CGAL::compare_xyz()

CGAL::compare_x()

CGAL::compare_y()

CGAL::compare_yx()

CGAL::compare_x_at_y()

CGAL::compare_z()

Functions
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
	compares the \( y\)-coordinates of p and the vertical projection of p on h.
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
	compares the \( y\)-coordinates of the vertical projection of p on h1 and on h2.
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (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.
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (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.
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s)
	compares the \( y\)-coordinates of p and the vertical projection of p on s.
template<typename Kernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
	compares the \( y\)-coordinates of the vertical projection of p on s1 and on s2.

With the 2D Circular Kernel
See 2D Circular Geometry Kernel. #include <CGAL/global_functions_circular_kernel_2.h>
template<typename CircularKernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_2< CircularKernel > &a)
	Same as above, for a point and a circular arc.
template<typename CircularKernel>
Comparison_result	CGAL::compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Line_arc_2< CircularKernel > &a)
	Same as above, for a point and a line segment.

Function Documentation

compare_y_at_x() [1/6]

template<typename Kernel>

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

#include <CGAL/Kernel/global_functions.h>

Let p be the intersection of lines l1 and l2.

This function compares the \( y\)-coordinates of p and the vertical projection of p on h See Figure figcompareyatx (f).

Precondition

l1, l2 intersect and h is not vertical.

compare_y_at_x() [2/6]

template<typename Kernel>

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

#include <CGAL/Kernel/global_functions.h>

Let p be the intersection of lines l1 and l2.

This function compares the \( y\)-coordinates of the vertical projection of p on h1 and on h2. See Figure figcompareyatx (g).

Precondition

l1 and l2 intersect; h1 and h2 are not vertical.

compare_y_at_x() [3/6]

template<typename Kernel>

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

#include <CGAL/Kernel/global_functions.h>

compares the \( y\)-coordinates of p and the vertical projection of p on h.

See Figure figcompareyatx (d).

Precondition

h is not vertical.

compare_y_at_x() [4/6]

template<typename Kernel>

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

#include <CGAL/Kernel/global_functions.h>

compares the \( y\)-coordinates of the vertical projection of p on h1 and on h2.

See Figure figcompareyatx (e).

Precondition

h1 and h2 are not vertical.

compare_y_at_x() [5/6]

template<typename Kernel>

Comparison_result CGAL::compare_y_at_x	(	const CGAL::Point_2< Kernel > &	p,
		const CGAL::Segment_2< Kernel > &	s )

#include <CGAL/Kernel/global_functions.h>

compares the \( y\)-coordinates of p and the vertical projection of p on s.

If s is vertical, then return CGAL::EQUAL when p lies on s, CGAL::SMALLER when p lies under {s}, and CGAL::LARGER otherwise.

Precondition

p is within the x range of s.

compare_y_at_x() [6/6]

template<typename Kernel>

Comparison_result CGAL::compare_y_at_x	(	const CGAL::Point_2< Kernel > &	p,
		const CGAL::Segment_2< Kernel > &	s1,
		const CGAL::Segment_2< Kernel > &	s2 )

#include <CGAL/Kernel/global_functions.h>

compares the \( y\)-coordinates of the vertical projection of p on s1 and on s2.

If s1 or s2 is vertical, then return CGAL::EQUAL if they intersect, otherwise return CGAL::SMALLER if s1 lies below s2, and return CGAL::LARGER otherwise.

Precondition

p is within the x range of s1 and s2.