89 lines
3.2 KiB
C++
89 lines
3.2 KiB
C++
// Copyright (c) 2000,2001
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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/Kernel_d/include/CGAL/simple_transformations_d.h $
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// $Id: simple_transformations_d.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) : Michael Seel
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#ifndef CGAL_SIMPLE_TRANSFORMATIONS_D_H
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#define CGAL_SIMPLE_TRANSFORMATIONS_D_H
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#include <CGAL/Homogeneous_d.h>
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namespace CGAL {
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/*{\Moptions outfile=Simple_transformations.man}*/
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/*{\Manpage{}{}{Simple Affine Transformations}{}}*/
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template <class R>
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Point_d<R> reflect(const Point_d<R>& p, const Point_d<R>& q)
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/*{\Mfunc returns |p| reflected at point |q|. }*/
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{ return Point_d<R>(p + 2*(q-p)); }
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template <class R>
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Point_d<R> reflect(const Point_d<R>& p, const Line_d<R>& l)
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/*{\Mfunc returns |p| reflected across line |l|.}*/
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{ // reflect point across line through r and s
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Point_d<R> c = l.projection(p);
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return Point_d<R>(p + 2*(c-p));
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}
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template <class R>
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Sphere_d<R> reflect(const Sphere_d<R>& s, const Point_d<R>& p)
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/*{\Mfunc returns |s| reflected across point |p|.}*/
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{ std::vector< Point_d<R> > B(s.points_begin(),s.points_end());
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typename std::vector< Point_d<R> >::iterator it;
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for (it = B.begin(); it != B.end(); ++it) *it = reflect(*it,p);
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return Sphere_d<R>(p.dimension(),B.begin(),B.end());
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}
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template <class R>
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Sphere_d<R> reflect(const Sphere_d<R>& s, const Line_d<R>& l)
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/*{\Mfunc returns |s| reflected across line |l|.}*/
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{ std::vector< Point_d<R> > B(s.points_begin(),s.points_end());
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typename std::vector< Point_d<R> >::iterator it;
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for (it = B.begin(); it != B.end(); ++it) *it = reflect(*it,l);
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return Sphere_d<R>(l.dimension(),B.begin(),B.end());
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}
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template <class R>
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Segment_d<R> reflect(const Segment_d<R>& s, const Point_d<R>& p)
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/*{\Mfunc returns |s| reflected across point |p|.}*/
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{ return Segment_d<R>(reflect(s.point(0),p),reflect(s.point(1),p)); }
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template <class R>
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Segment_d<R> reflect(const Segment_d<R>& s, const Line_d<R>& l)
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/*{\Mfunc returns |s| reflected across line |l|.}*/
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{ return Segment_d<R>(reflect(s.point(0),l),reflect(s.point(1),l)); }
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template <class R>
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Ray_d<R> reflect(const Ray_d<R>& r, const Point_d<R>& p)
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/*{\Mfunc returns |s| reflected across point |p|.}*/
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{ return Ray_d<R>(reflect(r.point(0),p),reflect(r.point(1),p)); }
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template <class R>
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Ray_d<R> reflect(const Ray_d<R>& r, const Line_d<R>& l)
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/*{\Mfunc returns |s| reflected across line |l|.}*/
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{ return Ray_d<R>(reflect(r.point(0),l),reflect(r.point(1),l)); }
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template <class R>
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Line_d<R> reflect(const Line_d<R>& l, const Point_d<R>& p)
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/*{\Mfunc returns |s| reflected across point |p|.}*/
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{ return Line_d<R>(reflect(l.point(0),p),reflect(l.point(1),p)); }
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template <class R>
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Line_d<R> reflect(const Line_d<R>& s, const Line_d<R>& l)
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/*{\Mfunc returns |s| reflected across line |l|.}*/
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{ return Line_d<R>(reflect(s.point(0),l),reflect(s.point(1),l)); }
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} //namespace CGAL
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#endif // CGAL_SIMPLE_TRANSFORMATIONS_D_H
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