314 lines
7.4 KiB
C
314 lines
7.4 KiB
C
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// Copyright (c) 2000,2001
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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) : Bernd Gaertner, Sven Schoenherr <sven@inf.ethz.ch>
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#ifndef CGAL_CONIC_2_H
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#define CGAL_CONIC_2_H
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#include <CGAL/Point_2.h>
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#include <CGAL/Kernel/Conic_misc.h>
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#include <CGAL/Dimension.h>
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namespace CGAL {
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template < class R_ >
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class Optimisation_ellipse_2;
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template < class R_>
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class Conic_2 : public R_::Kernel_base::Conic_2 {
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friend class Optimisation_ellipse_2<R_>;
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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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// types
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typedef R_ R;
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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_::Kernel_base::Conic_2 _Conic_2;
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// construction
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Conic_2 ()
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{}
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Conic_2 (RT r, RT s, RT t, RT u, RT v, RT w)
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: _Conic_2 (r, s, t, u, v, w)
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{}
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// general access
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RT r () const
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{
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return _Conic_2::r();
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}
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RT s () const
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{
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return _Conic_2::s();
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}
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RT t () const
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{
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return _Conic_2::t();
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}
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RT u () const
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{
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return _Conic_2::u();
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}
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RT v () const
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{
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return _Conic_2::v();
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}
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RT w () const
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{
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return _Conic_2::w();
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}
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CGAL::Point_2<R> center () const
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{
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return _Conic_2::center();
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}
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// type related access
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Conic_type conic_type () const
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{
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return _Conic_2::conic_type();
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}
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bool is_hyperbola () const
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{
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return _Conic_2::is_hyperbola();
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}
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bool is_parabola () const
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{
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return _Conic_2::is_parabola();
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}
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bool is_ellipse () const
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{
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return _Conic_2::is_ellipse();
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}
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bool is_circle () const
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{
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return _Conic_2::is_circle();
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}
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bool is_empty () const
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{
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return _Conic_2::is_empty();
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}
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bool is_trivial () const
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{
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return _Conic_2::is_trivial();
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}
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bool is_degenerate () const
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{
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return _Conic_2::is_degenerate();
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}
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// orientation related access
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CGAL::Orientation orientation () const
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{
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return _Conic_2::orientation ();
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}
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CGAL::Oriented_side oriented_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::oriented_side (p);
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}
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bool has_on_positive_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on_positive_side (p);
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}
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bool has_on_negative_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on_negative_side (p);
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}
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bool has_on_boundary (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on_boundary (p);
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}
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bool has_on (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on (p);
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}
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Convex_side convex_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::convex_side (p);
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}
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bool has_on_convex_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on_convex_side (p);
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}
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bool has_on_nonconvex_side (const CGAL::Point_2<R>& p) const
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{
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return _Conic_2::has_on_nonconvex_side (p);
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}
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// comparisons
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bool operator == ( const Conic_2<R_>& c) const
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{
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return _Conic_2::operator == ( (Conic_2)c);
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}
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bool operator != ( const Conic_2<R_>& c) const
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{
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return( ! operator == ( c));
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}
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// set methods
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void set (RT r, RT s, RT t,
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RT u, RT v, RT w)
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{
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_Conic_2::set (r, s, t, u, v, w);
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}
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void set_opposite ()
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{
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_Conic_2::set_opposite();
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}
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void set_circle (const CGAL::Point_2<R>& p1, const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3)
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{
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// the unique circle through the three points
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_Conic_2::set_circle(p1, p2, p3);
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}
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void set_linepair (const CGAL::Point_2<R>& p1, const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3, const CGAL::Point_2<R>& p4)
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{
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_Conic_2::set_linepair (p1, p2, p3, p4);
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}
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void set_ellipse (const CGAL::Point_2<R>& p1, const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3)
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{
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_Conic_2::set_ellipse (p1, p2, p3);
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}
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void set_ellipse (const CGAL::Point_2<R>& p1, const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3, const CGAL::Point_2<R>& p4,
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CGAL::Orientation o = POSITIVE)
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{
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_Conic_2::set_ellipse (p1, p2, p3, p4, o);
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}
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void set (const CGAL::Point_2<R>& p1, const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3, const CGAL::Point_2<R>& p4,
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const CGAL::Point_2<R>& p5,
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CGAL::Orientation o = POSITIVE)
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{
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_Conic_2::set (p1, p2, p3, p4, p5, o);
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}
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private:
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void set_linear_combination (
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const RT& a1, const Conic_2<R>& c1,
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const RT& a2, const Conic_2<R>& c2)
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{
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_Conic_2::set_linear_combination (a1, c1, a2, c2);
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}
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static void set_two_linepairs (const CGAL::Point_2<R>& p1,
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const CGAL::Point_2<R>& p2,
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const CGAL::Point_2<R>& p3,
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const CGAL::Point_2<R>& p4,
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Conic_2<R>& pair1,
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Conic_2<R>& pair2)
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{
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_Conic_2::set_two_linepairs (p1, p2, p3, p4, pair1, pair2);
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}
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void set_ellipse (const Conic_2<R>& pair1,
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const Conic_2<R>& pair2)
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{
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_Conic_2::set_ellipse (pair1, pair2);
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}
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void set (const Conic_2<R>& c1, const Conic_2<R>& c2,
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const CGAL::Point_2<R>& p)
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{
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_Conic_2::set( c1, c2, p); this->analyse();
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}
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CGAL::Sign vol_derivative (RT dr, RT ds,
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RT dt, RT du,
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RT dv, RT dw) const
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{
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return _Conic_2::vol_derivative (dr, ds, dt, du, dv, dw);
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}
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double vol_minimum (RT dr, RT ds,
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RT dt, RT du,
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RT dv, RT dw) const
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{
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return _Conic_2::vol_minimum (dr, ds, dt, du, dv, dw);
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}
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};
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#ifndef CGAL_NO_OSTREAM_INSERT_CONIC_2
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template< class R_>
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std::ostream& operator << ( std::ostream& os, const Conic_2<R_>& c)
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{
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return( os << c.r() << ' ' << c.s() << ' ' << c.t() << ' '
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<< c.u() << ' ' << c.v() << ' ' << c.w());
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}
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#endif // CGAL_NO_OSTREAM_INSERT_CONIC_2
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} //namespace CGAL
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#endif // CGAL_CONIC_2_H
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// ===== EOF ==================================================================
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