mirror of https://github.com/CGAL/cgal
330 lines
8.4 KiB
C++
330 lines
8.4 KiB
C++
// Copyright (c) 1999 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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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; version 2.1 of the License.
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// See the file LICENSE.LGPL distributed with CGAL.
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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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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_SPHERE_3_H
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#define CGAL_SPHERE_3_H
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#include <boost/static_assert.hpp>
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#include <boost/type_traits.hpp>
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#include <CGAL/Kernel/Return_base_tag.h>
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#include <CGAL/Bbox_3.h>
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#include <CGAL/representation_tags.h>
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CGAL_BEGIN_NAMESPACE
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template <class R_>
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class Sphere_3 : public R_::Kernel_base::Sphere_3
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{
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typedef typename R_::FT FT;
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typedef typename R_::Point_3 Point_3;
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typedef typename R_::Aff_transformation_3 Aff_transformation_3;
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typedef Sphere_3 Self;
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BOOST_STATIC_ASSERT((boost::is_same<Self, typename R_::Sphere_3>::value));
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public:
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typedef typename R_::Kernel_base::Sphere_3 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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Sphere_3() {}
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Sphere_3(const Rep& s)
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: Rep(s) {}
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Sphere_3(const Point_3& p, const FT& sq_rad,
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const Orientation& o = COUNTERCLOCKWISE)
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: Rep(typename R::Construct_sphere_3()(Return_base_tag(), p, sq_rad, o)) {}
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Sphere_3(const Point_3& p, const Point_3& q,
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const Point_3& r, const Point_3& u)
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: Rep(typename R::Construct_sphere_3()(Return_base_tag(), p, q, r, u)) {}
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Sphere_3(const Point_3& p, const Point_3& q, const Point_3& r,
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const Orientation& o = COUNTERCLOCKWISE)
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: Rep(typename R::Construct_sphere_3()(Return_base_tag(), p, q, r, o)) {}
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Sphere_3(const Point_3& p, const Point_3& q,
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const Orientation& o = COUNTERCLOCKWISE)
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: Rep(typename R::Construct_sphere_3()(Return_base_tag(), p, q, o)) {}
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Sphere_3(const Point_3& p, const Orientation& o = COUNTERCLOCKWISE)
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: Rep(typename R::Construct_sphere_3()(Return_base_tag(), p, o)) {}
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Sphere_3 orthogonal_transform(const Aff_transformation_3 &t) const;
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// FIXME : why doesn't Qrt work here ? We loose optimization !
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//typename Qualified_result_of<typename R::Construct_center_3, Sphere_3>::type
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Point_3
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center() const
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{
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return R().construct_center_3_object()(*this);
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}
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FT
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squared_radius() const
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{
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return R().compute_squared_radius_3_object()(*this);
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}
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// Returns a circle with opposite orientation
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Sphere_3 opposite() const
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{
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return R().construct_opposite_sphere_3_object()(*this);
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}
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Orientation orientation() const
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{
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return R().orientation_3_object()(*this);
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}
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Bounded_side
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bounded_side(const Point_3 &p) const
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{
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return R().bounded_side_3_object()(*this, p);
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}
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Oriented_side
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oriented_side(const Point_3 &p) const
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{
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return R().oriented_side_3_object()(*this, p);
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}
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bool
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has_on_boundary(const Point_3 &p) const
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{
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return R().has_on_boundary_3_object()(*this, p);
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//return bounded_side(p) == ON_BOUNDARY;
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}
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bool
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has_on_bounded_side(const Point_3 &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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bool
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has_on_unbounded_side(const Point_3 &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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bool
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has_on_negative_side(const Point_3 &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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bool
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has_on_positive_side(const Point_3 &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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bool
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is_degenerate() const
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{
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return R().is_degenerate_3_object()(*this);
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//return CGAL_NTS is_zero(squared_radius());
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}
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Bbox_3
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bbox() const
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{
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return R().construct_bbox_3_object()(*this);
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}
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};
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template <class R_>
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Sphere_3<R_>
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Sphere_3<R_>::
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orthogonal_transform(const typename R_::Aff_transformation_3& 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_3 Vector_3;
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// FIXME: precond: t.is_orthogonal() (*UNDEFINED*)
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Vector_3 vec(RT(1), RT(0), RT(0)); // unit vector
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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 Sphere_3(t.transform(this->center()),
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sq_scale * this->squared_radius(),
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t.is_even() ? this->orientation()
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: CGAL::opposite(this->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 Sphere_3<R>& c,const Cartesian_tag&)
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{
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switch(os.iword(IO::mode)) {
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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 << "SphereC3(" << 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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insert(std::ostream& os, const Sphere_3<R>& c, const Homogeneous_tag&)
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{
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switch(os.iword(IO::mode)) {
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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 << "SphereH3(" << 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 Sphere_3<R>& c)
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{
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return insert(os, c, typename R::Kernel_tag() );
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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, Sphere_3<R>& c, const Cartesian_tag&)
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{
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typename R::Point_3 center;
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typename R::FT squared_radius;
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int o;
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switch(is.iword(IO::mode)) {
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case IO::ASCII :
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is >> center >> 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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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 = Sphere_3<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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extract(std::istream& is, Sphere_3<R>& c, const Homogeneous_tag&)
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{
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typename R::Point_3 center;
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typename R::FT squared_radius;
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int o;
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switch(is.iword(IO::mode)) {
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case IO::ASCII :
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is >> center >> 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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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 = Sphere_3<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, Sphere_3<R>& c)
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{
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return extract(is, c, typename R::Kernel_tag() );
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}
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CGAL_END_NAMESPACE
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#endif // CGAL_SPHERE_3_H
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