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// Copyright (c) 2005 Tel-Aviv University (Israel). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Boolean_set_operations_2/include/CGAL/Gps_traits_2.h $ // $Id: include/CGAL/Gps_traits_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Baruch Zukerman #ifndef CGAL_GPS_TRAITS_2_H #define CGAL_GPS_TRAITS_2_H #include #include #include #include #include #include namespace CGAL { template > class Gps_traits_2 : public ArrTraits_2 { typedef ArrTraits_2 Base; typedef Gps_traits_2 Self; public: typedef typename Base::Point_2 Point_2; typedef typename Base::X_monotone_curve_2 X_monotone_curve_2; typedef typename Base::Multiplicity Multiplicity; // Polygon_2 type is required by GeneralPolygonSetTraits Concept typedef GeneralPolygon_2 Polygon_2; // Backward compatibility typedef Polygon_2 General_polygon_2; // Polygon_with_holes_2 type required by GeneralPolygonSetTraits Concept. typedef CGAL::General_polygon_with_holes_2 Polygon_with_holes_2; // Backward compatibility typedef Polygon_with_holes_2 General_polygon_with_holes_2; typedef typename Polygon_2::Curve_const_iterator Curve_const_iterator; typedef typename Polygon_with_holes_2::Hole_const_iterator Hole_const_iterator; typedef typename Base::Compare_endpoints_xy_2 Compare_endpoints_xy_2; typedef typename Base::Construct_min_vertex_2 Construct_min_vertex_2; typedef typename Base::Construct_max_vertex_2 Construct_max_vertex_2; /*! * A functor for constructing a polygon from a range of x-monotone curves. */ class Construct_polygon_2 { public: template void operator()(XCurveIterator begin, XCurveIterator end, Polygon_2& pgn) const { pgn.init(begin, end); } }; Construct_polygon_2 construct_polygon_2_object() const { return Construct_polygon_2(); } /*! * A functor for scanning all x-monotone curves that form a polygon boundary. */ class Construct_curves_2 { public: std::pair operator()(const Polygon_2& pgn) const { return std::make_pair(pgn.curves_begin(), pgn.curves_end()); } }; Construct_curves_2 construct_curves_2_object() const { return Construct_curves_2(); } /*! * An auxiliary functor used for validity checks. */ typedef Gps_traits_adaptor Traits_adaptor; /*typedef CGAL::Is_valid_2 Is_valid_2; Is_valid_2 is_valid_2_object() const { Traits_adaptor tr_adp; return (Is_valid_2 (*this, tr_adp)); }*/ //Added Functionality from GeneralPolygonWithHoles Concept to the traits. /*A functor for constructing the outer boundary of a polygon with holes*/ class Construct_outer_boundary { public: Polygon_2 operator()(const Polygon_with_holes_2& pol_wh) const { return pol_wh.outer_boundary(); } }; Construct_outer_boundary construct_outer_boundary_object() const { return Construct_outer_boundary(); } /* A functor for constructing the container of holes of a polygon with holes */ class Construct_holes { public: std::pair operator()(const Polygon_with_holes_2& pol_wh) const { return std::make_pair(pol_wh.holes_begin(), pol_wh.holes_end()); } }; Construct_holes construct_holes_object() const { return Construct_holes(); } /* A functor for constructing a Polygon_with_holes_2 from a * Polygon_2 (and possibly a range of holes). * * constructs a general polygon with holes using a given general polygon * outer as the outer boundary and a given range of holes. If outer is an * empty general polygon, then an unbounded polygon with holes will be * created. The holes must be contained inside the outer boundary, and the * polygons representing the holes must be strictly simple and pairwise * disjoint, except perhaps at the vertices. */ class Construct_polygon_with_holes_2 { public: Polygon_with_holes_2 operator()(const Polygon_2& pgn_boundary) const { return Polygon_with_holes_2(pgn_boundary); } template Polygon_with_holes_2 operator()(const Polygon_2& pgn_boundary, HolesInputIterator h_begin, HolesInputIterator h_end) const { return Polygon_with_holes_2(pgn_boundary, h_begin,h_end); } }; Construct_polygon_with_holes_2 construct_polygon_with_holes_2_object() const { return Construct_polygon_with_holes_2(); } // Return true if the outer boundary is empty, and false otherwise. class Is_unbounded { public: bool operator()(const Polygon_with_holes_2& pol_wh) const { return pol_wh.is_unbounded(); } }; Is_unbounded is_unbounded_object() const { return Is_unbounded(); } // Equality operator class Equal_2 { protected: /*! The base traits (in case it has state) */ const Base& m_traits; /*! Construct from base traits. * \param traits the traits (in case it has state) * The constructor is declared protected to allow only the functor * obtaining function, which is a member of the nesting class, * constructing it. */ Equal_2(const Base& traits) : m_traits(traits) {} friend class Gps_traits_2; public: /*! Determine whether the two points are the same. * \param p1 the first point. * \param p2 the second point. * \return (true) if the two point are the same; (false) otherwise. */ bool operator()(const Point_2& p1, const Point_2& p2) const { return m_traits.equal_2_object()(p1, p2); } /*! Check whether the two x-monotone curves are the same (have the same * graph). * \param cv1 the first curve. * \param cv2 the second curve. * \return (true) if the two curves are the same; (false) otherwise. */ bool operator()(const X_monotone_curve_2& cv1, const X_monotone_curve_2& cv2) const { return m_traits.equal_2_object()(cv1, cv2); } //! Compare two general polygons bool operator()(const Polygon_2& pgn1, const Polygon_2& pgn2) const { if (pgn1.size() != pgn2.size()) return false; if (pgn1.is_empty() && ! pgn2.is_empty()) return false; if (pgn2.is_empty()) return false; auto eql = m_traits.equal_2_object(); auto it1 = pgn1.curves_begin(); auto it2 = pgn2.curves_begin(); for (; it2 != pgn2.curves_end(); ++it2) if (eql(*it1, *it2)) break; if (it2 == pgn2.curves_end()) return false; ++it1; ++it2; while (it1 != pgn1.curves_end()) { if (! eql(*it1++, *it2++)) return false; if (it2 == pgn2.curves_end()) it2 = pgn2.curves_begin(); } return true; } //! Compare two general polygons bool operator()(const Polygon_with_holes_2& pgn1, const Polygon_with_holes_2& pgn2) const { if (! operator()(pgn1.outer_boundary(), pgn2.outer_boundary())) return false; if (pgn1.number_of_holes(), pgn2.number_of_holes()) return false; auto it1 = pgn1.holes_begin(); auto it2 = pgn2.holes_begin(); while (it1 != pgn1.holes_end()) if (! operator()(*it1++, *it2++)) return false; return true; } }; Equal_2 equal_2_object() const { return Equal_2(*this); } }; } //namespace CGAL #include #endif