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// Copyright (c) 2000 Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Generator/include/CGAL/random_polygon_2.h $
// $Id: random_polygon_2.h 42624 2008-03-27 22:59:00Z spion $
//
// Author(s) : Susan Hert <hert@mpi-sb.mpg.de>
#ifndef CGAL_RANDOM_POLYGON_2_H
#define CGAL_RANDOM_POLYGON_2_H
#include <list>
#include <set>
#include <vector>
#include <CGAL/Random_polygon_2_sweep.h>
#include <CGAL/Kernel_traits.h>
namespace CGAL {
//
// Using the provided point generator, generates a set of n points and
// produces a simple polygon from the unique subset of points within this
// set.
//
// Each of the p possible simple polygons for the unique point set is
// generated with probability greater than 0 but the polygons are not
// generated with uniform probability.
//
template <class PointGenerator, class OutputIterator, class Traits>
OutputIterator random_polygon_2(int n, OutputIterator result,
const PointGenerator& pg, const Traits& traits)
{
typedef typename Traits::Point_2 Point_2;
typedef std::vector<Point_2> Vertex_list;
typedef typename Vertex_list::iterator Iterator;
Vertex_list vertices;
copy_n_unique(pg, n, std::back_inserter(vertices), traits);
CGAL_assertion(!duplicate_points(vertices.begin(), vertices.end(), traits));
std::random_shuffle(vertices.begin(), vertices.end());
make_simple_polygon(vertices.begin(), vertices.end(), traits);
if (orientation_2(vertices.begin(), vertices.end()) == CLOCKWISE)
std::reverse(vertices.begin(), vertices.end());
CGAL_assertion(is_simple_2(vertices.begin(), vertices.end()));
return std::copy(vertices.begin(), vertices.end(), result);
}
template <class PointGenerator, class OutputIterator>
inline
OutputIterator random_polygon_2( int n, OutputIterator result,
const PointGenerator& pg )
{
typedef typename std::iterator_traits<PointGenerator>::value_type Point_2;
typedef typename Kernel_traits<Point_2>::Kernel K;
return random_polygon_2(n, result, pg, K());
}
template <class ForwardIterator, class Traits>
bool duplicate_points(ForwardIterator first, ForwardIterator beyond,
const Traits& )
{
typedef typename Traits::Point_2 Point_2;
typedef typename Traits::Less_xy_2 Less_xy_2;
std::set<Point_2,Less_xy_2> point_set;
for (; first != beyond; first++)
if (!(point_set.insert(*first)).second) return true;
return false;
}
template <class ForwardIterator>
bool duplicate_points(ForwardIterator first, ForwardIterator beyond)
{
typedef typename std::iterator_traits<ForwardIterator>::value_type Point_2;
typedef typename Kernel_traits<Point_2>::Kernel K;
return duplicate_points(first, beyond, K());
}
// Copies the first n points from the input iterator to the output iterator,
// removing any duplicates. Thus fewer than n points may be inserted into
// the output iterator.
template <class InputIterator, class Size, class OutputIterator, class Traits>
OutputIterator copy_n_unique(InputIterator first, Size n,
OutputIterator result,
const Traits& )
{
typedef typename Traits::Point_2 Point_2;
typedef typename Traits::Less_xy_2 Less_xy_2;
std::set<Point_2, Less_xy_2> sorted_point_set;
for (int i = 0; i < n; i++)
{
if (sorted_point_set.insert(*first).second)
{
*result = *first;
result++;
}
first++;
}
return result;
}
template <class InputIterator, class Size, class OutputIterator>
inline
OutputIterator copy_n_unique(InputIterator first, Size n,
OutputIterator result)
{
typedef typename std::iterator_traits<InputIterator>::value_type Point_2;
typedef typename Kernel_traits<Point_2>::Kernel K;
return copy_n_unique(first, n, result, K());
}
} // namespace CGAL
#endif
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