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// Copyright (c) 1999 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and 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/Kernel_23/include/CGAL/Circle_2.h $ // $Id: include/CGAL/Circle_2.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Andreas Fabri // Sven Schoenherr #ifndef CGAL_CIRCLE_2_H #define CGAL_CIRCLE_2_H #include #include #include #include #include namespace CGAL { template class Circle_2 : public R_::Kernel_base::Circle_2 { typedef typename R_::FT FT; typedef typename R_::Point_2 Point_2; typedef typename R_::Kernel_base::Circle_2 RCircle_2; typedef typename R_::Aff_transformation_2 Aff_transformation_2; typedef Circle_2 Self; static_assert(std::is_same::value); public: typedef Dimension_tag<2> Ambient_dimension; typedef Dimension_tag<1> Feature_dimension; typedef RCircle_2 Rep; const Rep& rep() const { return *this; } Rep& rep() { return *this; } typedef R_ R; Circle_2() {} Circle_2(const RCircle_2& t) : RCircle_2(t) {} Circle_2(RCircle_2&& t) : RCircle_2(std::move(t)) {} Circle_2(const Point_2 ¢er, const FT &squared_radius, const Orientation &orientation) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, orientation)) {} Circle_2(const Point_2 ¢er, const FT &squared_radius) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, COUNTERCLOCKWISE)) {} Circle_2(const Point_2 &p, const Point_2 &q, const Point_2 &r) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, r)) {} Circle_2(const Point_2 & p, const Point_2 & q, const Orientation &orientation) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, orientation)) {} Circle_2(const Point_2 & p, const Point_2 & q) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, COUNTERCLOCKWISE)) {} Circle_2(const Point_2 & p, const Point_2 & q, const FT &bulge) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, bulge)) {} Circle_2(const Point_2 & center, const Orientation& orientation) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), orientation)) {} Circle_2(const Point_2 & center) : RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), COUNTERCLOCKWISE)) {} decltype(auto) center() const { return R().construct_center_2_object()(*this); } decltype(auto) squared_radius() const { return R().compute_squared_radius_2_object()(*this); } typename R::Orientation orientation() const { // This make_certain(), the uncertain orientation of circles, the orientation // of circles, are all yucky. return make_certain(R().orientation_2_object()(*this)); } typename R::Bounded_side bounded_side(const Point_2 &p) const { return R().bounded_side_2_object()(*this, p); } typename R::Oriented_side oriented_side(const Point_2 &p) const { return R().oriented_side_2_object()(*this, p); } typename R::Boolean has_on_boundary(const Point_2 &p) const { return bounded_side(p) == ON_BOUNDARY; } typename R::Boolean has_on_bounded_side(const Point_2 &p) const { return bounded_side(p) == ON_BOUNDED_SIDE; } typename R::Boolean has_on_unbounded_side(const Point_2 &p) const { return bounded_side(p) == ON_UNBOUNDED_SIDE; } typename R::Boolean has_on_negative_side(const Point_2 &p) const { if (orientation() == COUNTERCLOCKWISE) return has_on_unbounded_side(p); return has_on_bounded_side(p); } typename R::Boolean has_on_positive_side(const Point_2 &p) const { if (orientation() == COUNTERCLOCKWISE) return has_on_bounded_side(p); return has_on_unbounded_side(p); } typename R::Boolean is_degenerate() const { return CGAL_NTS is_zero(squared_radius()); } Circle_2 opposite() const { //return R().construct_opposite_circle_2_object()(*this); return Circle_2(center(), squared_radius(), CGAL::opposite(orientation()) ); } Bbox_2 bbox() const { return R().construct_bbox_2_object()(*this); } Circle_2 transform(const Aff_transformation_2 &t) const { return t.transform(*this); } Circle_2 orthogonal_transform(const Aff_transformation_2 &t) const; }; template Circle_2 Circle_2:: orthogonal_transform(const typename R_::Aff_transformation_2& t) const { typedef typename R_::RT RT; typedef typename R_::FT FT; typedef typename R_::Vector_2 Vector_2; Vector_2 vec(RT(1), RT(0) ); // unit vector // AF: was FT vec = vec.transform(t); // transformed FT sq_scale = vec.squared_length(); // squared scaling factor return Circle_2(t.transform(center()), sq_scale * squared_radius(), t.is_even() ? orientation() : CGAL::opposite(orientation())); } template std::ostream& insert(std::ostream& os, const Circle_2& c) { switch(IO::get_mode(os)) { case IO::ASCII : os << c.center() << ' ' << c.squared_radius() << ' ' << static_cast(c.orientation()); break; case IO::BINARY : os << c.center(); write(os, c.squared_radius()); write(os, static_cast(c.orientation())); break; default: os << "Circle_2(" << c.center() << ", " << c.squared_radius() ; switch (c.orientation()) { case CLOCKWISE: os << ", clockwise)"; break; case COUNTERCLOCKWISE: os << ", counterclockwise)"; break; default: os << ", collinear)"; break; } break; } return os; } template < class R > std::ostream & operator<<(std::ostream &os, const Circle_2 &c) { return insert(os, c); } template std::istream& extract(std::istream& is, Circle_2& c) { typename R::Point_2 center; typename R::FT squared_radius(0); int o=0; switch(IO::get_mode(is)) { case IO::ASCII : is >> center >> IO::iformat(squared_radius) >> o; break; case IO::BINARY : is >> center; read(is, squared_radius); is >> o; break; default: is.setstate(std::ios::failbit); std::cerr << "" << std::endl; std::cerr << "Stream must be in ASCII or binary mode" << std::endl; break; } if (is) c = Circle_2(center, squared_radius, static_cast(o)); return is; } template < class R > std::istream & operator>>(std::istream &is, Circle_2 &c) { return extract(is,c); } } //namespace CGAL #endif // CGAL_CIRCLE_2_H