CGAL 4.4 - 2D and 3D Linear Geometry Kernel
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Kernel::CompareXAtY_2 Concept Reference
Kernel Function Object Concepts

Definition

compare_x_at_y.png
Refines:
AdaptableFunctor (with three arguments)
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

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)).