391 lines
12 KiB
C++
391 lines
12 KiB
C++
// Copyright (c) 1999
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Homogeneous_kernel/include/CGAL/Homogeneous/Iso_cuboidH3.h $
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// $Id: Iso_cuboidH3.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
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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/array.h>
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#include <CGAL/enum.h>
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#include <CGAL/kernel_config.h>
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#include <CGAL/kernel_assertions.h>
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namespace CGAL {
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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 std::array<Point_3, 2> 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, int)
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: base(CGAL::make_array(p, q))
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{
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CGAL_kernel_assertion(p.x()<=q.x());
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CGAL_kernel_assertion(p.y()<=q.y());
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CGAL_kernel_assertion(p.z()<=q.z());
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}
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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 BOOST_PREVENT_MACRO_SUBSTITUTION () const;
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const Point_3 & max BOOST_PREVENT_MACRO_SUBSTITUTION () 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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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(CGAL::make_array(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(CGAL::make_array(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(CGAL::make_array(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(CGAL::make_array(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 ((this->min)() == (r.min)()) && ((this->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 BOOST_PREVENT_MACRO_SUBSTITUTION () const
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{ return get_pointee_or_identity(base)[0]; }
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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 BOOST_PREVENT_MACRO_SUBSTITUTION () const
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{ return get_pointee_or_identity(base)[1]; }
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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( (this->min)().hx() ) / FT( (this->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( (this->min)().hy() ) / FT( (this->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( (this->min)().hz() ) / FT( (this->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( (this->max)().hx() ) / FT( (this->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( (this->max)().hy() ) / FT( (this->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( (this->max)().hz() ) / FT( (this->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 (this->min)();
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case 1: return Point_3( (this->max)().hx(), (this->min)().hy(),
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(this->min)().hz(), (this->min)().hw() );
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case 2: return Point_3( (this->max)().hx(), (this->max)().hy(),
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(this->min)().hz(), (this->min)().hw() );
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case 3: return Point_3( (this->min)().hx(), (this->max)().hy(),
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(this->min)().hz(), (this->min)().hw() );
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case 4: return Point_3( (this->min)().hx(), (this->max)().hy(),
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(this->max)().hz(), (this->min)().hw() );
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case 5: return Point_3( (this->min)().hx(), (this->min)().hy(),
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(this->max)().hz(), (this->min)().hw() );
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case 6: return Point_3( (this->max)().hx(), (this->min)().hy(),
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(this->max)().hz(), (this->min)().hw() );
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default: /*case 7:*/ return (this->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()*(this->min)().hw() < (this->min)().hx()*p.hw() )
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||(p.hy()*(this->min)().hw() < (this->min)().hy()*p.hw() )
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||(p.hz()*(this->min)().hw() < (this->min)().hz()*p.hw() )
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||(p.hx()*(this->max)().hw() > (this->max)().hx()*p.hw() )
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||(p.hy()*(this->max)().hw() > (this->max)().hy()*p.hw() )
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||(p.hz()*(this->max)().hw() > (this->max)().hz()*p.hw() ) )
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{ return ON_UNBOUNDED_SIDE; }
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if ( (p.hx()*(this->min)().hw() == (this->min)().hx()*p.hw() )
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||(p.hy()*(this->min)().hw() == (this->min)().hy()*p.hw() )
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||(p.hz()*(this->min)().hw() == (this->min)().hz()*p.hw() )
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||(p.hx()*(this->max)().hw() == (this->max)().hx()*p.hw() )
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||(p.hy()*(this->max)().hw() == (this->max)().hy()*p.hw() )
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||(p.hz()*(this->max)().hw() == (this->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,(this->min)() ))
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||( lexicographically_xyz_smaller((this->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 ( ( (this->min)().hx() == (this->max)().hx() )
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|| ( (this->min)().hy() == (this->max)().hy() )
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|| ( (this->min)().hz() == (this->max)().hz() ) );
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}
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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((this->min)() ),
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t.transform((this->max)() ) );
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}
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} //namespace CGAL
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#endif // CGAL_ISO_CUBOIDH3_H
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