RandomConvexHullTraits_2 Concept Reference

Definition

The concept RandomConvexHullTraits_2 describes the requirements for the traits class used by the function random_convex_hull_in_disc_2().

Has Models:

CGAL kernels.

Operations

The following two member functions returning instances of the above predicate object types are required.

Types
typedef unspecified_type	FT
	The coordinate type of the points of the polygon.
typedef unspecified_type	Point_2
	The point type of the polygon.
typedef unspecified_type	Segment_2
	The segment type of the polygon.
typedef unspecified_type	Orientation_2
	Predicate object type that determines the orientation of three points. More...
typedef unspecified_type	Compare_x_2
	A function object to compare the x-coordinate of two points. More...
typedef unspecified_type	Compare_y_2
	A function object to compare the y-coordinate of two points. More...

Operations
Compare_x_2	compare_x_2_object ()
Compare_y_2	compare_y_2_object ()
Orientation_2	orientation_2_object ()

Member Typedef Documentation

Compare_x_2

typedef unspecified_type RandomConvexHullTraits_2::Compare_x_2

A function object to compare the x-coordinate of two points.

Provides the operator:

Comparison_result operator()(Point p, Point q)

which returns SMALLER, EQUAL or LARGER according to the \( x\)-ordering of points p and q.

Compare_y_2

typedef unspecified_type RandomConvexHullTraits_2::Compare_y_2

A function object to compare the y-coordinate of two points.

Provides the operator:

Comparison_result operator()(Point p, Point q)

which returns (SMALLER, EQUAL or LARGER) according to the \( y\)-ordering of points p and q.

Orientation_2

typedef unspecified_type RandomConvexHullTraits_2::Orientation_2

Predicate object type that determines the orientation of three points.

It must provide Orientation operator()(Point_2 p, Point_2 q, Point_2 r) that returns LEFT_TURN, if \( r\) lies to the left of the oriented line \( l\) defined by \( p\) and \( q\), returns RIGHT_TURN if \( r\) lies to the right of \( l\), and returns COLLINEAR if \( r\) lies on \( l\).