Functions
template<class ForwardIterator , class Traits >
bool	CGAL::is_ccw_strongly_convex_2 (ForwardIterator first, ForwardIterator beyond, const Traits &ch_traits=Default_traits)
	The function `is_ccw_strongly_convex_2()` determines if a given sequence of points defines a counterclockwise-oriented, strongly convex polygon. More...

template<class ForwardIterator , class Traits >
bool	CGAL::is_cw_strongly_convex_2 (ForwardIterator first, ForwardIterator beyond, const Traits &ch_traits=Default_traits)
	The function `is_cw_strongly_convex_2()` determines if a given sequence of points defines a clockwise-oriented, strongly convex polygon. More...

Function Documentation

◆ is_ccw_strongly_convex_2()

template<class ForwardIterator , class Traits >

bool CGAL::is_ccw_strongly_convex_2	(	ForwardIterator	first,
		ForwardIterator	beyond,
		const Traits &	ch_traits = `Default_traits`
	)

#include <CGAL/convexity_check_2.h>

The function is_ccw_strongly_convex_2() determines if a given sequence of points defines a counterclockwise-oriented, strongly convex polygon.

It returns true, iff the point elements in [first,beyond) form a counterclockwise-oriented strongly convex polygon.

A set of points is said to be strongly convex if it consists of only extreme points (i.e., vertices of the convex hull).

The default traits class Default_traits is the kernel in which the value type of ForwardIterator is defined.

Requirements

Traits contains the following subset of types from the concept ConvexHullTraits_2 and their corresponding member functions that return instances of these types:

Traits::Less_xy_2,
Traits::Equal_2,
Traits::Left_turn_2.

See also: CGAL::is_cw_strongly_convex_2(); CGAL::is_strongly_convex_3()

Implementation

The algorithm requires \( O(n)\) time for a set of \( n\) input points.

◆ is_cw_strongly_convex_2()