/usr/include/CGAL/approximated_offset_2.h is in libcgal-dev 4.2-5ubuntu1.
This file is owned by root:root, with mode 0o644.
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// 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
// General Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// 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.
//
// $URL$
// $Id$
//
// Author(s) : Ron Wein <wein@post.tau.ac.il>
#ifndef CGAL_APPROXIMATED_OFFSET_H
#define CGAL_APPROXIMATED_OFFSET_H
#include <CGAL/Minkowski_sum_2/Approx_offset_base_2.h>
#include <CGAL/Minkowski_sum_2/Offset_conv_2.h>
#include <CGAL/Minkowski_sum_2/Offset_decomp_2.h>
namespace CGAL {
/*!
* Approximate the offset of a given simple polygon by a given radius,
* using the convolution method.
* Note that as the input polygon may not be convex, its offset may not be
* simply connected. The result is therefore represented as a polygon with
* holes.
* \param pgn The polygon.
* \param r The offset radius.
* \param eps The approximation-error bound.
* \return The approximated offset polygon.
*/
template <class Kernel, class Container>
typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
approximated_offset_2 (const Polygon_2<Kernel, Container>& pgn,
const typename Kernel::FT& r,
const double& eps)
{
typedef Approx_offset_base_2<Kernel, Container> Base;
typedef Offset_by_convolution_2<Base> Approx_offset_2;
typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
Base base (eps);
Approx_offset_2 approx_offset (base);
Offset_polygon_2 offset_bound;
std::list<Offset_polygon_2> offset_holes;
approx_offset (pgn, r,
offset_bound, std::back_inserter(offset_holes));
return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
(offset_bound, offset_holes.begin(), offset_holes.end()));
}
/*!
* Approximate the offset of a given polygon with holes by a given radius,
* using the convolution method.
* The result is represented as a polygon with holes whose edges are line
* segments and circular arcs.
* \param pwh The polygon with holes.
* \param r The offset radius.
* \param eps The approximation-error bound.
* \pre The polygon is bounded (has a valid outer boundary).
* \return The approximated offset polygon.
*/
template <class Kernel, class Container>
typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
approximated_offset_2 (const Polygon_with_holes_2<Kernel, Container>& pwh,
const typename Kernel::FT& r,
const double& eps)
{
typedef Approx_offset_base_2<Kernel, Container> Base;
typedef Offset_by_convolution_2<Base> Approx_offset_2;
typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
Base base (eps);
Approx_offset_2 approx_offset (base);
Offset_polygon_2 offset_bound;
std::list<Offset_polygon_2> offset_holes;
approx_offset (pwh, r,
offset_bound, std::back_inserter(offset_holes));
return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
(offset_bound, offset_holes.begin(), offset_holes.end()));
}
/*!
* Approximate the offset of a given simple polygon by a given radius,
* by decomposing it to convex sub-polygons and computing the union of their
* offsets.
* Note that as the input polygon may not be convex, its offset may not be
* simply connected. The result is therefore represented as a polygon with
* holes.
* \param pgn The polygon.
* \param r The offset radius.
* \param eps The approximation-error bound.
* \param decomp A functor for decomposing polygons.
* \return The approximated offset polygon.
*/
template <class Kernel, class Container, class DecompositionStrategy>
typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
approximated_offset_2 (const Polygon_2<Kernel, Container>& pgn,
const typename Kernel::FT& r,
const double& eps,
const DecompositionStrategy&)
{
typedef Approx_offset_base_2<Kernel, Container> Base;
typedef Offset_by_decomposition_2<Base, DecompositionStrategy>
Approx_offset_2;
typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
Base base (eps);
Approx_offset_2 approx_offset (base);
Offset_polygon_2 offset_bound;
std::list<Offset_polygon_2> offset_holes;
approx_offset (pgn, r,
offset_bound, std::back_inserter(offset_holes));
return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
(offset_bound, offset_holes.begin(), offset_holes.end()));
}
/*!
* Approximate the inset of a given simple polygon by a given radius, using
* the convolution method.
* Note that as the input polygon may not be convex, its inset may not be
* simply connected. The result is therefore represented as a set of polygons.
* \param pgn The polygon.
* \param r The inset radius.
* \param eps The approximation-error bound.
* \param oi An output iterator for the inset polygons.
* Its value-type must be
* Gps_circle_segment_traits_2<Kernel>::Polygon_2.
* \return A past-the-end iterator for the inset polygons.
*/
template <class Kernel, class Container, class OutputIterator>
OutputIterator
approximated_inset_2 (const Polygon_2<Kernel, Container>& pgn,
const typename Kernel::FT& r,
const double& eps,
OutputIterator oi)
{
typedef Approx_offset_base_2<Kernel, Container> Base;
typedef Offset_by_convolution_2<Base> Approx_offset_2;
typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
Base base (eps);
Approx_offset_2 approx_offset (base);
Offset_polygon_2 offset_bound;
std::list<Offset_polygon_2> offset_holes;
oi = approx_offset.inset (pgn, r,
oi);
return (oi);
}
} //namespace CGAL
#endif
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