Kernel::CompareXAtY_2 Concept Reference

Definition

Refines

AdaptableTernaryFunction

See also

CGAL::compare_x_at_y()

Operations
A model of this concept must provide:
Comparison_result	operator() (const Kernel::Point_2 &p, const Kernel::Line_2 &h)
	compares the \( x\)-coordinates of p and the horizontal projection of p on h. More...
Comparison_result	operator() (const Kernel::Point_2 &p, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2)
	compares the \( x\)-coordinates of the horizontal projection of p on h1 and on h2. More...
Comparison_result	operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2, const Kernel::Line_2 &h)
	Let p be the intersection of lines l1 and l2. More...
Comparison_result	operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2)
	Let p be the intersection of lines l1 and l2. More...

Member Function Documentation

operator()() [1/4]

Comparison_result Kernel::CompareXAtY_2::operator()	(	const Kernel::Point_2 &	p,
		const Kernel::Line_2 &	h
	)

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

See Figure fig-compare_x_at_y_2 (a).

operator()() [2/4]

Comparison_result Kernel::CompareXAtY_2::operator()	(	const Kernel::Point_2 &	p,
		const Kernel::Line_2 &	h1,
		const Kernel::Line_2 &	h2
	)

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

See Figure fig-compare_x_at_y_2 (b).

operator()() [3/4]

Comparison_result Kernel::CompareXAtY_2::operator()	(	const Kernel::Line_2 &	l1,
		const Kernel::Line_2 &	l2,
		const Kernel::Line_2 &	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 fig-compare_x_at_y_2 (c).

operator()() [4/4]

Comparison_result Kernel::CompareXAtY_2::operator()	(	const Kernel::Line_2 &	l1,
		const Kernel::Line_2 &	l2,
		const Kernel::Line_2 &	h1,
		const Kernel::Line_2 &	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 fig-compare_x_at_y_2 (d)).