98 lines
3.5 KiB
C
98 lines
3.5 KiB
C
|
// Copyright (c) 2000,2001
|
||
|
|
// Utrecht University (The Netherlands),
|
||
|
|
// ETH Zurich (Switzerland),
|
||
|
|
// INRIA Sophia-Antipolis (France),
|
||
|
|
// Max-Planck-Institute Saarbruecken (Germany),
|
||
|
|
// and Tel-Aviv University (Israel). All rights reserved.
|
||
|
|
//
|
||
|
|
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
|
||
|
|
// modify it under the terms of the GNU Lesser General Public License as
|
||
|
|
// published by the Free Software Foundation; either version 3 of the License,
|
||
|
|
// or (at your option) any later version.
|
||
|
|
//
|
||
|
|
// Licensees holding a valid commercial license may use this file in
|
||
|
|
// accordance with the commercial license agreement provided with the software.
|
||
|
|
//
|
||
|
|
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
|
||
|
|
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
|
||
|
|
//
|
||
|
|
// $URL$
|
||
|
|
// $Id$
|
||
|
|
// SPDX-License-Identifier: LGPL-3.0+
|
||
|
|
//
|
||
|
|
//
|
||
|
|
// Author(s) : Michael Seel
|
||
|
|
|
||
|
|
#ifndef CGAL_SIMPLE_TRANSFORMATIONS_D_H
|
||
|
|
#define CGAL_SIMPLE_TRANSFORMATIONS_D_H
|
||
|
|
|
||
|
|
#include <CGAL/Homogeneous_d.h>
|
||
|
|
|
||
|
|
namespace CGAL {
|
||
|
|
/*{\Moptions outfile=Simple_transformations.man}*/
|
||
|
|
/*{\Manpage{}{}{Simple Affine Transformations}{}}*/
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Point_d<R> reflect(const Point_d<R>& p, const Point_d<R>& q)
|
||
|
|
/*{\Mfunc returns |p| reflected at point |q|. }*/
|
||
|
|
{ return Point_d<R>(p + 2*(q-p)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Point_d<R> reflect(const Point_d<R>& p, const Line_d<R>& l)
|
||
|
|
/*{\Mfunc returns |p| reflected across line |l|.}*/
|
||
|
|
{ // reflect point across line through r and s
|
||
|
|
Point_d<R> c = l.projection(p);
|
||
|
|
return Point_d<R>(p + 2*(c-p));
|
||
|
|
}
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Sphere_d<R> reflect(const Sphere_d<R>& s, const Point_d<R>& p)
|
||
|
|
/*{\Mfunc returns |s| reflected across point |p|.}*/
|
||
|
|
{ std::vector< Point_d<R> > B(s.points_begin(),s.points_end());
|
||
|
|
typename std::vector< Point_d<R> >::iterator it;
|
||
|
|
for (it = B.begin(); it != B.end(); ++it) *it = reflect(*it,p);
|
||
|
|
return Sphere_d<R>(p.dimension(),B.begin(),B.end());
|
||
|
|
}
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Sphere_d<R> reflect(const Sphere_d<R>& s, const Line_d<R>& l)
|
||
|
|
/*{\Mfunc returns |s| reflected across line |l|.}*/
|
||
|
|
{ std::vector< Point_d<R> > B(s.points_begin(),s.points_end());
|
||
|
|
typename std::vector< Point_d<R> >::iterator it;
|
||
|
|
for (it = B.begin(); it != B.end(); ++it) *it = reflect(*it,l);
|
||
|
|
return Sphere_d<R>(l.dimension(),B.begin(),B.end());
|
||
|
|
}
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Segment_d<R> reflect(const Segment_d<R>& s, const Point_d<R>& p)
|
||
|
|
/*{\Mfunc returns |s| reflected across point |p|.}*/
|
||
|
|
{ return Segment_d<R>(reflect(s.point(0),p),reflect(s.point(1),p)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Segment_d<R> reflect(const Segment_d<R>& s, const Line_d<R>& l)
|
||
|
|
/*{\Mfunc returns |s| reflected across line |l|.}*/
|
||
|
|
{ return Segment_d<R>(reflect(s.point(0),l),reflect(s.point(1),l)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Ray_d<R> reflect(const Ray_d<R>& r, const Point_d<R>& p)
|
||
|
|
/*{\Mfunc returns |s| reflected across point |p|.}*/
|
||
|
|
{ return Ray_d<R>(reflect(r.point(0),p),reflect(r.point(1),p)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Ray_d<R> reflect(const Ray_d<R>& r, const Line_d<R>& l)
|
||
|
|
/*{\Mfunc returns |s| reflected across line |l|.}*/
|
||
|
|
{ return Ray_d<R>(reflect(r.point(0),l),reflect(r.point(1),l)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Line_d<R> reflect(const Line_d<R>& l, const Point_d<R>& p)
|
||
|
|
/*{\Mfunc returns |s| reflected across point |p|.}*/
|
||
|
|
{ return Line_d<R>(reflect(l.point(0),p),reflect(l.point(1),p)); }
|
||
|
|
|
||
|
|
template <class R>
|
||
|
|
Line_d<R> reflect(const Line_d<R>& s, const Line_d<R>& l)
|
||
|
|
/*{\Mfunc returns |s| reflected across line |l|.}*/
|
||
|
|
{ return Line_d<R>(reflect(s.point(0),l),reflect(s.point(1),l)); }
|
||
|
|
|
||
|
|
} //namespace CGAL
|
||
|
|
#endif // CGAL_SIMPLE_TRANSFORMATIONS_D_H
|