mirror of https://github.com/CGAL/cgal
421 lines
11 KiB
C++
421 lines
11 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_ISO_CUBOIDH3_H
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#define CGAL_ISO_CUBOIDH3_H
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#include <CGAL/Twotuple.h>
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CGAL_BEGIN_NAMESPACE
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template <class R_>
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class Iso_cuboidH3
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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_::Point_3 Point_3;
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typedef typename R_::Aff_transformation_3 Aff_transformation_3;
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typedef Twotuple<Point_3> Rep;
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typedef typename R_::template Handle<Rep>::type Base;
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Base base;
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public:
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typedef R_ R;
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Iso_cuboidH3() {}
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Iso_cuboidH3(const Point_3& p, const Point_3& q);
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Iso_cuboidH3(const Point_3& left, const Point_3& right,
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const Point_3& bottom, const Point_3& top,
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const Point_3& far_, const Point_3& close);
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Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz,
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const RT& max_hx, const RT& max_hy, const RT& max_hz,
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const RT& hw);
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Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz,
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const RT& max_hx, const RT& max_hy, const RT& max_hz);
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bool operator==(const Iso_cuboidH3<R>& s) const;
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bool operator!=(const Iso_cuboidH3<R>& s) const;
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const Point_3 & min() const;
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const Point_3 & max() const;
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Point_3 vertex(int i) const;
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Point_3 operator[](int i) const;
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Iso_cuboidH3<R>
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transform(const Aff_transformation_3& t) const;
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Bounded_side
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bounded_side(const Point_3& p) const;
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bool has_on(const Point_3& p) const;
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bool has_on_boundary(const Point_3& p) const;
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bool has_on_bounded_side(const Point_3& p) const;
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bool has_on_unbounded_side(const Point_3& p) const;
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bool is_degenerate() const;
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Bbox_3 bbox() const;
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FT xmin() const;
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FT ymin() const;
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FT zmin() const;
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FT xmax() const;
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FT ymax() const;
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FT zmax() const;
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FT min_coord(int i) const;
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FT max_coord(int i) const;
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FT volume() const;
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};
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template < class R >
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CGAL_KERNEL_LARGE_INLINE
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Iso_cuboidH3<R>::
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Iso_cuboidH3(const typename Iso_cuboidH3<R>::Point_3& p,
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const typename Iso_cuboidH3<R>::Point_3& q)
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{
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bool px_k_qx = ( p.hx()*q.hw() < q.hx()*p.hw() );
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bool py_k_qy = ( p.hy()*q.hw() < q.hy()*p.hw() );
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bool pz_k_qz = ( p.hz()*q.hw() < q.hz()*p.hw() );
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RT minx;
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RT miny;
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RT minz;
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RT maxx;
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RT maxy;
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RT maxz;
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RT minw = p.hw()*q.hw();
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RT maxw = p.hw()*q.hw();
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if ( px_k_qx )
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{
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minx = p.hx()*q.hw();
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maxx = q.hx()*p.hw();
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}
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else
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{
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minx = q.hx()*p.hw();
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maxx = p.hx()*q.hw();
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}
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if ( py_k_qy )
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{
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miny = p.hy()*q.hw();
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maxy = q.hy()*p.hw();
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}
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else
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{
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miny = q.hy()*p.hw();
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maxy = p.hy()*q.hw();
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}
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if ( pz_k_qz )
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{
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minz = p.hz()*q.hw();
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maxz = q.hz()*p.hw();
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}
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else
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{
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minz = q.hz()*p.hw();
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maxz = p.hz()*q.hw();
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}
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base = Rep(Point_3(minx, miny, minz, minw),
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Point_3(maxx, maxy, maxz, maxw));
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}
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template < class R >
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CGAL_KERNEL_LARGE_INLINE
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Iso_cuboidH3<R>::
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Iso_cuboidH3(const typename Iso_cuboidH3<R>::Point_3& left,
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const typename Iso_cuboidH3<R>::Point_3& right,
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const typename Iso_cuboidH3<R>::Point_3& bottom,
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const typename Iso_cuboidH3<R>::Point_3& top,
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const typename Iso_cuboidH3<R>::Point_3& far_,
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const typename Iso_cuboidH3<R>::Point_3& close)
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: base(Point_3(left.hx() * bottom.hw() * far_.hw(),
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bottom.hy() * left.hw() * far_.hw(),
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far_.hz() * left.hw() * bottom.hw(),
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left.hw() * bottom.hw() * far_.hw()),
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Point_3(right.hx() * top.hw() * close.hw(),
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top.hy() * right.hw() * close.hw(),
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close.hz() * right.hw() * top.hw(),
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right.hw() * top.hw() * close.hw()))
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{
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CGAL_kernel_precondition(!less_x(right, left));
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CGAL_kernel_precondition(!less_y(top, bottom));
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CGAL_kernel_precondition(!less_z(close, far_));
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}
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template < class R >
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CGAL_KERNEL_LARGE_INLINE
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Iso_cuboidH3<R>::
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Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz,
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const RT& max_hx, const RT& max_hy, const RT& max_hz)
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: base(Point_3(min_hx, min_hy, min_hz, RT(1)),
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Point_3(max_hx, max_hy, max_hz, RT(1)))
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{}
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template < class R >
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CGAL_KERNEL_LARGE_INLINE
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Iso_cuboidH3<R>::
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Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz,
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const RT& max_hx, const RT& max_hy, const RT& max_hz,
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const RT& hw)
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: base(Point_3(min_hx, min_hy, min_hz, hw),
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Point_3(max_hx, max_hy, max_hz, hw))
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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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Iso_cuboidH3<R>::
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operator==(const Iso_cuboidH3<R>& r) const
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{ return (min() == r.min()) && (max() == r.max()); }
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template < class R >
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inline
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bool
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Iso_cuboidH3<R>::
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operator!=(const Iso_cuboidH3<R>& r) const
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{ return !(*this == r); }
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template < class R >
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inline
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const typename Iso_cuboidH3<R>::Point_3 &
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Iso_cuboidH3<R>::min() const
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{ return get(base).e0; }
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template < class R >
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inline
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const typename Iso_cuboidH3<R>::Point_3 &
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Iso_cuboidH3<R>::max() const
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{ return get(base).e1; }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::xmin() const
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{ return FT( min().hx() ) / FT( min().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::ymin() const
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{ return FT( min().hy() ) / FT( min().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::zmin() const
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{ return FT( min().hz() ) / FT( min().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::xmax() const
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{ return FT( max().hx() ) / FT( max().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::ymax() const
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{ return FT( max().hy() ) / FT( max().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::zmax() const
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{ return FT( max().hz() ) / FT( max().hw() ); }
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::min_coord(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2);
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if ( i == 0 )
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return xmin();
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else if (i == 1)
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return ymin();
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return zmin();
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}
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::max_coord(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2);
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if ( i == 0 )
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return xmax();
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else if ( i == 1 )
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return ymax();
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return zmax();
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}
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template < class R >
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inline
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typename Iso_cuboidH3<R>::FT
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Iso_cuboidH3<R>::volume() const
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{ return (xmax() - xmin()) * (ymax() - ymin()) * (zmax() - zmin()); }
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template < class R >
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CGAL_KERNEL_LARGE_INLINE
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typename Iso_cuboidH3<R>::Point_3
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Iso_cuboidH3<R>::vertex(int i) const
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{
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switch (i%8)
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{
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case 0: return min();
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case 1: return Point_3( max().hx(), min().hy(),
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min().hz(), min().hw() );
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case 2: return Point_3( max().hx(), max().hy(),
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min().hz(), min().hw() );
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case 3: return Point_3( min().hx(), max().hy(),
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min().hz(), min().hw() );
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case 4: return Point_3( min().hx(), max().hy(),
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max().hz(), min().hw() );
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case 5: return Point_3( min().hx(), min().hy(),
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max().hz(), min().hw() );
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case 6: return Point_3( max().hx(), min().hy(),
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max().hz(), min().hw() );
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default: /*case 7:*/ return max();
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}
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}
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template < class R >
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inline
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typename Iso_cuboidH3<R>::Point_3
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Iso_cuboidH3<R>::operator[](int i) const
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{ return vertex(i); }
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template < class R >
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CGAL_KERNEL_MEDIUM_INLINE
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Bounded_side
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Iso_cuboidH3<R>::
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bounded_side(const typename Iso_cuboidH3<R>::Point_3& p) const
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{
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if ( (p.hx()*min().hw() < min().hx()*p.hw() )
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||(p.hy()*min().hw() < min().hy()*p.hw() )
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||(p.hz()*min().hw() < min().hz()*p.hw() )
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||(p.hx()*max().hw() > max().hx()*p.hw() )
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||(p.hy()*max().hw() > max().hy()*p.hw() )
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||(p.hz()*max().hw() > max().hz()*p.hw() ) )
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{ return ON_UNBOUNDED_SIDE; }
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if ( (p.hx()*min().hw() == min().hx()*p.hw() )
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||(p.hy()*min().hw() == min().hy()*p.hw() )
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||(p.hz()*min().hw() == min().hz()*p.hw() )
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||(p.hx()*max().hw() == max().hx()*p.hw() )
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||(p.hy()*max().hw() == max().hy()*p.hw() )
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||(p.hz()*max().hw() == max().hz()*p.hw() ) )
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{ return ON_BOUNDARY; }
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else
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{ return ON_BOUNDED_SIDE; }
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}
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template < class R >
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inline
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bool
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Iso_cuboidH3<R>::
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has_on_boundary(const typename Iso_cuboidH3<R>::Point_3& p) const
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{ return ( bounded_side(p) == ON_BOUNDARY ); }
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template < class R >
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inline
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bool
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Iso_cuboidH3<R>::has_on(const typename Iso_cuboidH3<R>::Point_3& p) const
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{ return ( bounded_side(p) == ON_BOUNDARY ); }
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template < class R >
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inline
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bool
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Iso_cuboidH3<R>::
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has_on_bounded_side(const typename Iso_cuboidH3<R>::Point_3& p) const
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{ return ( bounded_side(p) == ON_BOUNDED_SIDE ); }
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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Iso_cuboidH3<R>::
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has_on_unbounded_side(const typename Iso_cuboidH3<R>::Point_3& p) const
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{
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return ( ( lexicographically_xyz_smaller(p,min() ))
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||( lexicographically_xyz_smaller(max(),p )) );
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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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Iso_cuboidH3<R>::is_degenerate() const
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{
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return ( ( min().hx() == max().hx() )
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|| ( min().hy() == max().hy() )
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|| ( min().hz() == max().hz() ) );
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}
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template < class R >
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inline
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Bbox_3
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Iso_cuboidH3<R>::bbox() const
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{ return min().bbox() + max().bbox(); }
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template < class R >
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CGAL_KERNEL_INLINE
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Iso_cuboidH3<R>
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Iso_cuboidH3<R>::
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transform(const typename Iso_cuboidH3<R>::Aff_transformation_3&t) const
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{
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return Iso_cuboidH3<R>(t.transform(min() ),
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t.transform(max() ) );
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}
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#ifndef CGAL_NO_OSTREAM_INSERT_ISO_CUBOIDH3
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template < class R >
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std::ostream& operator<<(std::ostream& os, const Iso_cuboidH3<R>& r)
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{
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switch(os.iword(IO::mode))
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{
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case IO::ASCII :
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return os << r.min() << ' ' << r.max();
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case IO::BINARY :
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return os << r.min() << r.max();
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default:
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return os << "Iso_cuboidH3(" << r.min() << ", " << r.max() << ")";
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_ISO_CUBOIDH3
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#ifndef CGAL_NO_ISTREAM_EXTRACT_ISO_CUBOIDH3
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template < class R >
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std::istream& operator>>(std::istream& is, Iso_cuboidH3<R>& r)
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{
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typename R::Point_3 p, q;
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is >> p >> q;
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r = Iso_cuboidH3<R>(p, q);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_ISO_CUBOIDH3
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CGAL_END_NAMESPACE
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#endif // CGAL_ISO_CUBOIDH3_H
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