307 lines
7.9 KiB
C++
Executable File
307 lines
7.9 KiB
C++
Executable File
// Copyright (c) 1999
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 3 of the License,
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// or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: LGPL-3.0+
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//
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//
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// Author(s) : Andreas Fabri
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// Sven Schoenherr
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#ifndef CGAL_CIRCLE_2_H
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#define CGAL_CIRCLE_2_H
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#include <CGAL/assertions.h>
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#include <boost/type_traits/is_same.hpp>
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#include <CGAL/Kernel/Return_base_tag.h>
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#include <CGAL/Bbox_2.h>
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#include <CGAL/Dimension.h>
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#include <CGAL/number_utils.h>
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#include <CGAL/result_of.h>
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namespace CGAL {
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template <class R_>
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class Circle_2 : public R_::Kernel_base::Circle_2
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{
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typedef typename R_::FT FT;
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typedef typename R_::Point_2 Point_2;
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typedef typename R_::Kernel_base::Circle_2 RCircle_2;
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typedef typename R_::Aff_transformation_2 Aff_transformation_2;
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typedef Circle_2 Self;
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CGAL_static_assertion((boost::is_same<Self, typename R_::Circle_2>::value));
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public:
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typedef Dimension_tag<2> Ambient_dimension;
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typedef Dimension_tag<1> Feature_dimension;
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typedef RCircle_2 Rep;
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const Rep& rep() const
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{
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return *this;
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}
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Rep& rep()
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{
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return *this;
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}
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typedef R_ R;
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Circle_2() {}
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Circle_2(const RCircle_2& t)
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: RCircle_2(t) {}
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Circle_2(const Point_2 ¢er, const FT &squared_radius,
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const Orientation &orientation)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, orientation)) {}
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Circle_2(const Point_2 ¢er, const FT &squared_radius)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, COUNTERCLOCKWISE)) {}
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Circle_2(const Point_2 &p, const Point_2 &q, const Point_2 &r)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, r)) {}
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Circle_2(const Point_2 & p, const Point_2 & q,
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const Orientation &orientation)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, orientation)) {}
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Circle_2(const Point_2 & p, const Point_2 & q)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, COUNTERCLOCKWISE)) {}
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Circle_2(const Point_2 & p, const Point_2 & q, const FT &bulge)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, bulge)) {}
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Circle_2(const Point_2 & center, const Orientation& orientation)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), orientation)) {}
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Circle_2(const Point_2 & center)
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: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), COUNTERCLOCKWISE)) {}
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typename cpp11::result_of<typename R::Construct_center_2(Circle_2)>::type
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center() const
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{
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return R().construct_center_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_squared_radius_2(Circle_2)>::type
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squared_radius() const
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{
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return R().compute_squared_radius_2_object()(*this);
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}
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Orientation orientation() const
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{
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// This make_certain(), the uncertain orientation of circles, the orientation
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// of circles, are all yucky.
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return make_certain(R().orientation_2_object()(*this));
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}
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typename R::Bounded_side
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bounded_side(const Point_2 &p) const
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{
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return R().bounded_side_2_object()(*this, p);
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}
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typename R::Oriented_side
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oriented_side(const Point_2 &p) const
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{
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return R().oriented_side_2_object()(*this, p);
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}
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typename R::Boolean
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has_on_boundary(const Point_2 &p) const
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{
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return bounded_side(p) == ON_BOUNDARY;
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}
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typename R::Boolean
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has_on_bounded_side(const Point_2 &p) const
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{
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return bounded_side(p) == ON_BOUNDED_SIDE;
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}
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typename R::Boolean
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has_on_unbounded_side(const Point_2 &p) const
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{
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return bounded_side(p) == ON_UNBOUNDED_SIDE;
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}
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typename R::Boolean
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has_on_negative_side(const Point_2 &p) const
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{
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if (orientation() == COUNTERCLOCKWISE)
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return has_on_unbounded_side(p);
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return has_on_bounded_side(p);
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}
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typename R::Boolean
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has_on_positive_side(const Point_2 &p) const
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{
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if (orientation() == COUNTERCLOCKWISE)
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return has_on_bounded_side(p);
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return has_on_unbounded_side(p);
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}
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typename R::Boolean
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is_degenerate() const
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{
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return CGAL_NTS is_zero(squared_radius());
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}
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Circle_2
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opposite() const
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{
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//return R().construct_opposite_circle_2_object()(*this);
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return Circle_2(center(),
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squared_radius(),
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CGAL::opposite(orientation()) );
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}
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Bbox_2
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bbox() const
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{
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return R().construct_bbox_2_object()(*this);
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}
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typename R::Boolean
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operator==(const Circle_2 &c) const
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{
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return R().equal_2_object()(*this, c);
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}
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typename R::Boolean
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operator!=(const Circle_2 &c) const
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{
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return !(*this == c);
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}
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Circle_2 transform(const Aff_transformation_2 &t) const
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{
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return t.transform(*this);
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}
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Circle_2 orthogonal_transform(const Aff_transformation_2 &t) const;
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};
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template <class R_>
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Circle_2<R_>
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Circle_2<R_>::
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orthogonal_transform(const typename R_::Aff_transformation_2& t) const
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{
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typedef typename R_::RT RT;
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typedef typename R_::FT FT;
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typedef typename R_::Vector_2 Vector_2;
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Vector_2 vec(RT(1), RT(0) ); // unit vector // AF: was FT
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vec = vec.transform(t); // transformed
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FT sq_scale = vec.squared_length(); // squared scaling factor
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return Circle_2(t.transform(center()),
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sq_scale * squared_radius(),
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t.is_even() ? orientation()
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: CGAL::opposite(orientation()));
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}
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template <class R >
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std::ostream&
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insert(std::ostream& os, const Circle_2<R>& c)
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{
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switch(get_mode(os)) {
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case IO::ASCII :
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os << c.center() << ' ' << c.squared_radius() << ' '
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<< static_cast<int>(c.orientation());
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break;
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case IO::BINARY :
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os << c.center();
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write(os, c.squared_radius());
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write(os, static_cast<int>(c.orientation()));
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break;
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default:
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os << "Circle_2(" << c.center() << ", " << c.squared_radius() ;
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switch (c.orientation()) {
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case CLOCKWISE:
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os << ", clockwise)";
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break;
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case COUNTERCLOCKWISE:
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os << ", counterclockwise)";
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break;
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default:
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os << ", collinear)";
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break;
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}
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break;
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}
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return os;
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}
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template < class R >
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std::ostream &
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operator<<(std::ostream &os, const Circle_2<R> &c)
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{
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return insert(os, c);
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}
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template <class R >
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std::istream&
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extract(std::istream& is, Circle_2<R>& c)
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{
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typename R::Point_2 center;
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typename R::FT squared_radius(0);
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int o=0;
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switch(get_mode(is)) {
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case IO::ASCII :
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is >> center >> iformat(squared_radius) >> o;
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break;
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case IO::BINARY :
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is >> center;
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read(is, squared_radius);
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is >> o;
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break;
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default:
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is.setstate(std::ios::failbit);
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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if (is)
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c = Circle_2<R>(center, squared_radius, static_cast<Orientation>(o));
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return is;
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}
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template < class R >
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std::istream &
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operator>>(std::istream &is, Circle_2<R> &c)
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{
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return extract(is,c);
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}
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} //namespace CGAL
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#endif // CGAL_CIRCLE_2_H
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