CGAL 4.7 - 2D and 3D Linear Geometry Kernel
Kernel::CompareXAtY_2 Concept Reference

## Definition

Refines:
AdaptableFunctor (with three arguments)
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

 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).

 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).

 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).

 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)).