IsYMonotoneTraits_2

Definition

Requirements of a traits class to be used with the function is_y_monotone_2 that tests whether a sequence of 2D points defines a $$y-monotone polygon or not.

Types

The following two types are required:

IsYMonotoneTraits_2::Point_2
	The point type of the polygon vertices.
IsYMonotoneTraits_2::Less_yx_2
	Predicate object type that compares Point_2s lexicographically. Must provide bool operator()(Point_2 p, Point_2 q) where true is returned iff $$p <xy q. We have $$p<xyq, iff $$px < qx or $$px = qx and $$py < qy, where $$px and $$py denote $$x and $$y coordinate of point $$p resp.

Creation

Only a copy constructor is required.

IsYMonotoneTraits_2 traits ( & tr);

Operations

The following function that creates an instance of the above predicate object type must exist:

Less_yx_2

traits.less_yx_2_object ()

Has Models

CGAL::Partition_traits_2<R>
CGAL::Kernel_traits_2

See Also

CGAL::Is_y_monotone_2<Traits>
CGAL::y_monotone_partition_2
CGAL::y_monotone_partition_is_valid_2