185 lines
4.4 KiB
C
185 lines
4.4 KiB
C
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// Copyright (c) 2000
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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/Cartesian_kernel/include/CGAL/Cartesian/Ray_3.h $
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// $Id: Ray_3.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) : Andreas Fabri
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#ifndef CGAL_CARTESIAN_RAY_3_H
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#define CGAL_CARTESIAN_RAY_3_H
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#include <CGAL/array.h>
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#include <CGAL/Handle_for.h>
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namespace CGAL {
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template < class R_ >
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class RayC3
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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_::Direction_3 Direction_3;
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typedef typename R_::Vector_3 Vector_3;
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typedef typename R_::Line_3 Line_3;
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typedef typename R_::Ray_3 Ray_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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RayC3() {}
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RayC3(const Point_3 &sp, const Point_3 &secondp)
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: base(CGAL::make_array(sp, secondp)) {}
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RayC3(const Point_3 &sp, const Vector_3 &v)
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: base(CGAL::make_array(sp, sp + v)) {}
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RayC3(const Point_3 &sp, const Direction_3 &d)
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: base(CGAL::make_array(sp, sp + d.to_vector())) {}
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RayC3(const Point_3 &sp, const Line_3 &l)
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: base(CGAL::make_array(sp, sp + l.to_vector())) {}
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typename R::Boolean operator==(const RayC3 &r) const;
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typename R::Boolean operator!=(const RayC3 &r) const;
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const Point_3 & source() const
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{
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return get_pointee_or_identity(base)[0];
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}
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const Point_3 & second_point() const
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{
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return get_pointee_or_identity(base)[1];
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}
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Point_3 point(const FT i) const;
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Direction_3 direction() const;
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Vector_3 to_vector() const;
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Line_3 supporting_line() const;
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Ray_3 opposite() const;
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typename R::Boolean is_degenerate() const;
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typename R::Boolean has_on(const Point_3 &p) const;
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typename R::Boolean collinear_has_on(const Point_3 &p) const;
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};
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template < class R >
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inline
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typename R::Boolean
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RayC3<R>::operator==(const RayC3<R> &r) const
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{
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if (CGAL::identical(base, r.base))
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return true;
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return source() == r.source() && direction() == r.direction();
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}
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template < class R >
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inline
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typename R::Boolean
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RayC3<R>::operator!=(const RayC3<R> &r) const
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{
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return !(*this == r);
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename RayC3<R>::Point_3
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RayC3<R>::point(const FT i) const
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{
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CGAL_kernel_precondition( i >= FT(0) );
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if (i == FT(0)) return source();
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if (i == FT(1)) return second_point();
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return source() + i * to_vector();
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}
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template < class R >
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inline
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typename RayC3<R>::Vector_3
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RayC3<R>::to_vector() const
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{
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return second_point() - source();
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}
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template < class R >
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inline
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typename RayC3<R>::Direction_3
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RayC3<R>::direction() const
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{
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return Direction_3( second_point() - source() );
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}
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template < class R >
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inline
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typename RayC3<R>::Line_3
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RayC3<R>::supporting_line() const
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{
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return Line_3(*this);
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}
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template < class R >
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inline
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typename RayC3<R>::Ray_3
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RayC3<R>::opposite() const
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{
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return RayC3<R>( source(), - direction() );
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}
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template < class R >
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typename R::Boolean
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RayC3<R>::
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has_on(const typename RayC3<R>::Point_3 &p) const
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{
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return (p == source()) ||
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( collinear(source(), p, second_point())
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&& ( Direction_3(p - source()) == direction() ));
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}
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template < class R >
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inline
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typename R::Boolean
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RayC3<R>::is_degenerate() const
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{
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return source() == second_point();
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}
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template < class R >
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inline
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typename R::Boolean
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RayC3<R>::
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collinear_has_on(const typename RayC3<R>::Point_3 &p) const
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{
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CGAL_kernel_exactness_precondition( collinear(source(), p, second_point()) );
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typename R::Comparison_result cx = compare_x(source(), second_point());
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if (cx != EQUAL)
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return cx != compare_x(p, source());
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typename R::Comparison_result cy = compare_y(source(), second_point());
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if (cy != EQUAL)
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return cy != compare_y(p, source());
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typename R::Comparison_result cz = compare_z(source(), second_point());
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if (cz != EQUAL)
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return cz != compare_z(p, source());
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return true; // p == source()
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}
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} //namespace CGAL
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#endif // CGAL_CARTESIAN_RAY_3_H
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