mirror of https://github.com/CGAL/cgal
316 lines
8.2 KiB
C++
316 lines
8.2 KiB
C++
// ======================================================================
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//
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// Copyright (c) 1999 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : SphereH3.h
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// package : H3
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Stefan Schirra
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//
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//
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// coordinator : MPI, Saarbruecken (<Stefan.Schirra@mpi-sb.mpg.de>)
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// ======================================================================
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#ifndef CGAL_SPHEREH3_H
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#define CGAL_SPHEREH3_H
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#include <CGAL/basic.h>
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#include <CGAL/PointH3.h>
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#include <CGAL/predicates_on_pointsH3.h>
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#include <CGAL/basic_constructionsH3.h>
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CGAL_BEGIN_NAMESPACE
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template <class R>
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class Sphere_repH3 : public Ref_counted
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{
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public:
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typedef typename R::FT FT;
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friend class SphereH3<R>;
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Sphere_repH3() {}
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Sphere_repH3(const PointH3<R> p, const FT sq_rad, const Orientation& o)
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: center(p), squared_radius(sq_rad), orientation_(o) {}
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protected:
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PointH3<R> center;
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FT squared_radius;
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Orientation orientation_;
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};
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template <class R>
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class Simple_Sphere_repH3
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{
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public:
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typedef typename R::FT FT;
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friend class SphereH3<R>;
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Simple_Sphere_repH3() {}
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Simple_Sphere_repH3(const PointH3<R> p, const FT sq_rad,
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const Orientation& o)
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: center(p), squared_radius(sq_rad), orientation_(o) {}
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protected:
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PointH3<R> center;
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FT squared_radius;
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Orientation orientation_;
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};
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template <class R_>
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class SphereH3
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: public R_::Sphere_handle_3
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{
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public:
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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::Sphere_handle_3 Sphere_handle_3_;
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typedef typename Sphere_handle_3_::element_type Sphere_ref_3;
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SphereH3()
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: Sphere_handle_3_() {}
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SphereH3(const PointH3<R>& p, const FT& sq_rad,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const PointH3<R>& p, const PointH3<R>& q,
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const PointH3<R>& r, const PointH3<R>& u);
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SphereH3(const PointH3<R>& p, const PointH3<R>& q,
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const PointH3<R>& r,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const PointH3<R>& p, const PointH3<R>& q,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const PointH3<R>& p,
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const Orientation& o = COUNTERCLOCKWISE);
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bool
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operator==(const SphereH3<R>&) const;
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bool
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operator!=(const SphereH3<R>& s) const
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{ return !(*this == s); }
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const PointH3<R> & center() const;
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const FT & squared_radius() const;
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Orientation orientation() const;
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SphereH3<R> orthogonal_transform(const Aff_transformationH3<R>& t) const;
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bool is_degenerate() const;
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SphereH3<R> opposite() const;
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Bbox_3 bbox() const;
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Oriented_side oriented_side(const PointH3<R>& p) const;
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bool
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has_on_boundary(const PointH3<R>& p) const
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{ return oriented_side(p)==ON_ORIENTED_BOUNDARY; }
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bool
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has_on_positive_side(const PointH3<R>& p) const
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{ return oriented_side(p)==ON_POSITIVE_SIDE; }
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bool
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has_on_negative_side(const PointH3<R>& p) const
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{ return oriented_side(p)==ON_NEGATIVE_SIDE; }
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Bounded_side
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bounded_side(const PointH3<R>& p) const;
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bool
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has_on_bounded_side(const PointH3<R>& p) const
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{ return bounded_side(p)==ON_BOUNDED_SIDE; }
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bool
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has_on_unbounded_side(const PointH3<R>& p) const
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{ return bounded_side(p)==ON_UNBOUNDED_SIDE; }
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};
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template < class R >
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CGAL_KERNEL_CTOR_INLINE
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SphereH3<R>::SphereH3(const PointH3<R>& center,
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const FT& squared_radius,
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const Orientation& o)
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{
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CGAL_kernel_precondition( !( squared_radius < FT(0))
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&&( o != COLLINEAR) );
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initialize_with( Sphere_ref_3(center, squared_radius, o));
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}
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template <class R>
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CGAL_KERNEL_CTOR_INLINE
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SphereH3<R>::SphereH3(const PointH3<R>& center,
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const Orientation& o)
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{
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CGAL_kernel_precondition( ( o != COLLINEAR) );
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initialize_with( Sphere_ref_3(center, FT(0), o));
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}
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template <class R>
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CGAL_KERNEL_CTOR_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const PointH3<R>& p,
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const PointH3<R>& q,
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const Orientation& o)
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{
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CGAL_kernel_precondition( o != COLLINEAR);
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PointH3<R> center = midpoint(p,q);
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FT squared_radius = squared_distance(p,center);
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initialize_with(Sphere_ref_3(center, squared_radius, o));
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}
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template <class R>
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CGAL_KERNEL_CTOR_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const PointH3<R>& p,
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const PointH3<R>& q,
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const PointH3<R>& r,
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const Orientation& o)
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{
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CGAL_kernel_precondition( o != COLLINEAR);
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PointH3<R> center = circumcenter(p,q,r);
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FT squared_radius = squared_distance(p,center);
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initialize_with(Sphere_ref_3(center, squared_radius, o));
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}
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template <class R>
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CGAL_KERNEL_CTOR_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const PointH3<R>& p,
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const PointH3<R>& q,
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const PointH3<R>& r,
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const PointH3<R>& s)
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{
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Orientation o = CGAL::orientation(p,q,r,s);
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CGAL_kernel_precondition( o != COLLINEAR);
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PointH3<R> center = circumcenter(p,q,r,s);
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FT squared_radius = squared_distance(p,center);
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initialize_with(Sphere_ref_3(center, squared_radius, o));
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}
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template <class R>
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CGAL_KERNEL_INLINE
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bool
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SphereH3<R>::operator==(const SphereH3<R>& s) const
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{
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return ( orientation() == s.orientation())
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&& ( center() == s.center())
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&& ( squared_radius() == s.squared_radius());
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}
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template <class R>
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inline
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const PointH3<R> &
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SphereH3<R>::center() const
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{ return Ptr()->center; }
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template <class R>
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inline
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const typename SphereH3<R>::FT &
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SphereH3<R>::squared_radius() const
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{ return Ptr()->squared_radius; }
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template <class R>
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inline
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Orientation
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SphereH3<R>::orientation() const
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{ return Ptr()->orientation_; }
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template <class R>
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inline
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bool
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SphereH3<R>::is_degenerate() const
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{ return Ptr()->squared_radius <= FT(0) ; }
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template <class R>
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CGAL_KERNEL_MEDIUM_INLINE
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Oriented_side
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SphereH3<R>::oriented_side(const PointH3<R>& p) const
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{ return Oriented_side(bounded_side(p) * orientation()); }
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template <class R>
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CGAL_KERNEL_INLINE
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Bounded_side
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SphereH3<R>::bounded_side(const PointH3<R>& p) const
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{
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return Bounded_side(CGAL_NTS compare(squared_radius(),
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squared_distance(center(),p)));
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}
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template <class R>
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inline
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SphereH3<R>
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SphereH3<R>::opposite() const
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{
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return SphereH3<R>(center(), squared_radius(),
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CGAL::opposite(orientation()) );
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}
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template <class R>
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CGAL_KERNEL_INLINE
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Bbox_3
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SphereH3<R>::bbox() const
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{
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double eps = double(1.0) /(double(1<<26) * double(1<<26));
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double hxd = CGAL::to_double( center().hx() );
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double hyd = CGAL::to_double( center().hy() );
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double hzd = CGAL::to_double( center().hz() );
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double hwd = CGAL::to_double( center().hw() );
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double xmin = ( hxd - eps*hxd ) / ( hwd + eps*hwd );
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double xmax = ( hxd + eps*hxd ) / ( hwd - eps*hwd );
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double ymin = ( hyd - eps*hyd ) / ( hwd + eps*hwd );
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double ymax = ( hyd + eps*hyd ) / ( hwd - eps*hwd );
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double zmin = ( hzd - eps*hyd ) / ( hwd + eps*hwd );
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double zmax = ( hzd + eps*hyd ) / ( hwd - eps*hwd );
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if ( center().hx() < RT(0) )
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{ std::swap(xmin, xmax); }
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if ( center().hy() < RT(0) )
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{ std::swap(ymin, ymax); }
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if ( center().hz() < RT(0) )
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{ std::swap(zmin, zmax); }
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double sqradd = CGAL::to_double( squared_radius() );
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sqradd += sqradd*eps;
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sqradd = sqrt(sqradd);
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sqradd += sqradd*eps;
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xmin -= sqradd;
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xmax += sqradd;
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xmin -= xmin*eps;
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xmax += xmax*eps;
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ymin -= sqradd;
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ymax += sqradd;
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ymin -= ymin*eps;
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ymax += ymax*eps;
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zmin -= sqradd;
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zmax += sqradd;
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zmin -= ymin*eps;
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zmax += ymax*eps;
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return Bbox_3(xmin, ymin, zmin, xmax, ymax, zmax);
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}
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CGAL_END_NAMESPACE
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#endif // CGAL_SPHEREH3_H
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