// ======================================================================
//
// Copyright (c) 2000,2001 The CGAL Consortium
//
// This software and related documentation is part of an INTERNAL release
// of the Computational Geometry Algorithms Library (CGAL). It is not
// intended for general use.
//
// ----------------------------------------------------------------------
//
// release       : $CGAL_Revision$
// release_date  : $CGAL_Date$
//
// file          : include/CGAL/simple_transformations_d.h
// package       : Kernel_d
// maintainer    : Michael Seel <Michael.Seel@mpi-sb.mpg.de>
// revision      : $Revision$
// revision_date : $Date$
// author(s)     : Michael Seel
// coordinator   : MPI Saarbruecken (Susan.Hert@mpi-sb.mpg.de)
//
// ======================================================================

#ifndef CGAL_SIMPLE_TRANSFORMATIONS_D_H
#define CGAL_SIMPLE_TRANSFORMATIONS_D_H

#include <CGAL/Homogeneous_d.h>

CGAL_BEGIN_NAMESPACE
/*{\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)); }

CGAL_END_NAMESPACE
#endif // CGAL_SIMPLE_TRANSFORMATIONS_D_H