cgal/Packages/Convex_hull_2/include/CGAL/convexity_check_2.h

135 lines
4.8 KiB
C++

// ======================================================================
//
// Copyright (c) 1999 The CGAL Consortium
//
// This software and related documentation is part of an INTERNAL release
// of the Computational Geometry Algorithms Library (CGAL). It is not
// intended for general use.
//
// ----------------------------------------------------------------------
// release :
// release_date :
//
// file : include/CGAL/convexity_check_2.h
// package : Convex_hull_2
// revision : $Revision$
// revision_date : $Date$
// author(s) : Stefan Schirra
//
// coordinator : MPI, Saarbruecken
// ======================================================================
#ifndef CGAL_CONVEXITY_CHECK_2_H
#define CGAL_CONVEXITY_CHECK_2_H
#include <CGAL/basic.h>
#include <iterator>
CGAL_BEGIN_NAMESPACE
// returns true, if the point elements in [|first|,|last|) form a
// counterclockwise oriented strongly convex polygon. Strongly means,
// there are no three collinear points.
// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
template <class ForwardIterator, class Traits>
bool
is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
const Traits& ch_traits);
template <class ForwardIterator>
inline
bool
is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
{
typedef std::iterator_traits<ForwardIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return is_ccw_strongly_convex_2( first, last, Kernel());
}
// returns true, if the point elements in [|first|,|last|) form a
// clockwise oriented strongly convex polygon. Strongly means, there are
// no three collinear points.
// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
template <class ForwardIterator, class Traits>
bool
is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
const Traits& ch_traits);
template <class ForwardIterator>
inline
bool
is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
{
typedef std::iterator_traits<ForwardIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return is_cw_strongly_convex_2( first, last, Kernel());
}
// returns true, if all points in [|first1|,|last1|) are
// not right of the lines defined by consecutive points in the range
// [|first2|,|last2|), where the range is considered as a cycle.
// {\sc traits}: uses |Traits::Left_turn_2|.
template <class ForwardIterator1, class ForwardIterator2, class Traits>
bool
ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
const Traits& ch_traits);
template <class ForwardIterator1, class ForwardIterator2>
inline
bool
ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2)
{
typedef std::iterator_traits<ForwardIterator1> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_brute_force_check_2( first1, last1, first2, last2, Kernel() );
}
// returns true, if all points in [|first1|,|last1|) are
// not right of the lines defined by consecutive points in the range
// [|first2|,|last2|).
// {\sc traits}: uses |Traits::Left_turn_2|.
template <class ForwardIterator1, class ForwardIterator2, class Traits>
bool
ch_brute_force_chain_check_2(ForwardIterator1 first1,
ForwardIterator1 last1,
ForwardIterator2 first2,
ForwardIterator2 last2,
const Traits& ch_traits);
template <class ForwardIterator1, class ForwardIterator2>
inline
bool
ch_brute_force_chain_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2)
{
typedef std::iterator_traits<ForwardIterator1> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_brute_force_chain_check_2( first1, last1, first2, last2,
Kernel());
}
CGAL_END_NAMESPACE
#ifdef CGAL_CFG_NO_AUTOMATIC_TEMPLATE_INCLUSION
#include <CGAL/convexity_check_2.C>
#endif // CGAL_CFG_NO_AUTOMATIC_TEMPLATE_INCLUSION
#endif // CGAL_CONVEXITY_CHECK_2_H