// Copyright (c) 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)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.1.2/Kernel_d/include/CGAL/Kernel_d/DirectionHd_impl.h $
// $Id: include/CGAL/Kernel_d/DirectionHd_impl.h 37e2b278910 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Michael Seel <seel@mpi-sb.mpg.de>

#ifndef CGAL_DIRECTIONHD_C
#define CGAL_DIRECTIONHD_C
namespace CGAL {

template <class RT, class LA>
DirectionHd<RT,LA>::DirectionHd(const VectorHd<RT,LA>& v) : Base(v) {}

template <class RT, class LA>
VectorHd<RT,LA>  DirectionHd<RT,LA>::vector() const
{ return VectorHd<RT,LA>(*this); }

template <class RT, class LA>
DirectionHd<RT,LA>  DirectionHd<RT,LA>::
transform(const Aff_transformationHd<RT,LA>& t) const
{ return vector().transform(t).direction(); }

template <class RT, class LA>
Comparison_result DirectionHd<RT,LA>::
cmp(const DirectionHd<RT,LA>& h1,
    const DirectionHd<RT,LA>& h2)
{
  if (h1.identical(h2)) return EQUAL;
  int i, d = h1.dimension();
  for (i = 0; i < d && h1.delta(i)==0 &&
              h2.delta(i)==0; i++) {}
  int c1 = CGAL_NTS sign(h1.delta(i));
  int c2 = CGAL_NTS sign(h2.delta(i));
  if (c1 != c2) return CGAL_NTS compare(c1,c2);

  RT s1 = (RT) (int) CGAL_NTS sign(h2.delta(i)) * h2.delta(i);
  RT s2 = (RT) (int) CGAL_NTS sign(h1.delta(i)) * h1.delta(i);

  i++;
  Comparison_result c;
  while (i < d) {
    c = CGAL_NTS compare(s1 * h1.delta(i), s2 * h2.delta(i));
    if (c != EQUAL) return c;
    i++;
  }
  return EQUAL;
}

template <class RT, class LA>
std::istream& operator>>(std::istream& I, DirectionHd<RT,LA>& dir)
{ dir.copy_on_write(); dir.ptr()->read(I);
  CGAL_assertion_msg((dir.D()>=0),
  "operator>>: denominator of direction must be nonnegative.");
  return I;
}

template <class RT, class LA>
std::ostream& operator<<(std::ostream& O, const DirectionHd<RT,LA>& dir)
{ dir.ptr()->print(O,"DirectionHd"); return O; }


//----------------------- end of file ----------------------------------


} //namespace CGAL
#endif // CGAL_DIRECTIONHD_C
