// 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. // // $Source$ // $Revision$ $Date$ // $Name$ // // Author(s) : Andreas Fabri, Herve Bronnimann #ifndef CGAL_CARTESIAN_RAY_2_H #define CGAL_CARTESIAN_RAY_2_H #include CGAL_BEGIN_NAMESPACE template < class R_ > class RayC2 { typedef typename R_::FT FT; typedef typename R_::Point_2 Point_2; typedef typename R_::Direction_2 Direction_2; typedef typename R_::Vector_2 Vector_2; typedef typename R_::Line_2 Line_2; typedef typename R_::Ray_2 Ray_2; typedef typename R_::Aff_transformation_2 Aff_transformation_2; typedef Twotuple Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; typename R::Construct_translated_point_2 Construct_translated_point; RayC2() {} RayC2(const Point_2 &sp, const Point_2 &secondp) : base(sp, secondp) {} RayC2(const Point_2 &sp, const Direction_2 &d) : base(sp, Construct_translated_point( sp, d.to_vector())){} RayC2(const Point_2 &sp, const Vector_2 &v) : base(sp, Construct_translated_point(sp, v)){} RayC2(const Point_2 &sp, const Line_2 &l) : base(sp, Construct_translated_point(sp, l.to_vector())){} bool operator==(const RayC2 &r) const; bool operator!=(const RayC2 &r) const; const Point_2 & start() const; const Point_2 & source() const { return get(base).e0; } Point_2 point(int i) const; const Point_2 & second_point() const { return get(base).e1; } Direction_2 direction() const; Vector_2 to_vector() const; Line_2 supporting_line() const; Ray_2 opposite() const; Ray_2 transform(const Aff_transformation_2 &t) const { return RayC2(t.transform(source()), t.transform(second_point())); } bool is_horizontal() const; bool is_vertical() const; bool is_degenerate() const; bool has_on(const Point_2 &p) const; bool collinear_has_on(const Point_2 &p) const; }; template < class R > CGAL_KERNEL_INLINE bool RayC2::operator==(const RayC2 &r) const { if (CGAL::identical(base, r.base)) return true; return source() == r.source() && direction() == r.direction(); } template < class R > inline bool RayC2::operator!=(const RayC2 &r) const { return !(*this == r); } template < class R > inline const typename RayC2::Point_2 & RayC2::start() const { return source(); } template < class R > CGAL_KERNEL_INLINE typename RayC2::Point_2 RayC2::point(int i) const { CGAL_kernel_precondition( i >= 0 ); typename R::Construct_vector_2 construct_vector; typename R::Construct_scaled_vector_2 construct_scaled_vector; typename R::Construct_translated_point_2 construct_translated_point; if (i == 0) return source(); if (i == 1) return second_point(); return construct_translated_point(source(), construct_scaled_vector(construct_vector(source(), second_point()), FT(i))); } template < class R > inline typename RayC2::Vector_2 RayC2::to_vector() const { typename R::Construct_vector_2 construct_vector; return construct_vector(source(), second_point()); } template < class R > inline typename RayC2::Direction_2 RayC2::direction() const { typename R::Construct_vector_2 construct_vector; return Direction_2( construct_vector(source(), second_point()) ); } template < class R > inline typename RayC2::Line_2 RayC2::supporting_line() const { return Line_2(*this); } template < class R > inline typename RayC2::Ray_2 RayC2::opposite() const { return RayC2( source(), - direction() ); } template < class R > CGAL_KERNEL_INLINE bool RayC2::is_horizontal() const { return R().equal_y_2_object()(source(), second_point()); } template < class R > CGAL_KERNEL_INLINE bool RayC2::is_vertical() const { return R().equal_x_2_object()(source(), second_point()); } template < class R > CGAL_KERNEL_INLINE bool RayC2::is_degenerate() const { return source() == second_point(); } template < class R > CGAL_KERNEL_INLINE bool RayC2::has_on(const typename RayC2::Point_2 &p) const { typename R::Construct_vector_2 construct_vector; return p == source() || R().collinear_2_object()(source(), p, second_point()) && Direction_2(construct_vector( source(), p)) == direction(); } template < class R > inline bool RayC2:: collinear_has_on(const typename RayC2::Point_2 &p) const { return R().collinear_has_on_2_object()(*this, p); } #ifndef CGAL_NO_OSTREAM_INSERT_RAYC2 template < class R > std::ostream & operator<<(std::ostream &os, const RayC2 &r) { switch(os.iword(IO::mode)) { case IO::ASCII : return os << r.source() << ' ' << r.direction(); case IO::BINARY : return os << r.source() << r.direction(); default: return os << "RayC2(" << r.source() << ", " << r.direction() << ")"; } } #endif // CGAL_NO_OSTREAM_INSERT_RAYC2 #ifndef CGAL_NO_ISTREAM_EXTRACT_RAYC2 template < class R > std::istream & operator>>(std::istream &is, RayC2 &r) { typename R::Point_2 p; typename R::Direction_2 d; is >> p >> d; if (is) r = RayC2(p, d); return is; } #endif // CGAL_NO_ISTREAM_EXTRACT_RAYC2 CGAL_END_NAMESPACE #endif // CGAL_CARTESIAN_RAY_2_H