// 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/Kernel_d/include/CGAL/Kernel_d/HyperplaneHd_impl.h $
// $Id: include/CGAL/Kernel_d/HyperplaneHd_impl.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Michael Seel <seel@mpi-sb.mpg.de>

#ifndef CGAL_HYPERPLANEHD_C
#define CGAL_HYPERPLANEHD_C
namespace CGAL {

template <class RT, class LA>
VectorHd<RT,LA>  HyperplaneHd<RT,LA>::
orthogonal_vector() const
{ VectorHd<RT,LA> res(*this);
  res.copy_on_write();
  res.entry(dimension()) = 1;
  return res;
}

template <class RT, class LA>
Comparison_result HyperplaneHd<RT,LA>::
weak_cmp(const HyperplaneHd<RT,LA>& h1,
         const HyperplaneHd<RT,LA>& h2)
{
  CGAL_assertion_msg((h1.dimension()==h2.dimension()),
    "HyperplaneHd::weak_cmp: dimensions disagree.");
  if(h1.identical(h2)) return EQUAL;

  int i, d = h1.dimension();
  for (i = 0; i <= d &&
              h1.coefficient(i) == 0 &&
              h2.coefficient(i) == 0; i++) {}
  if (h1.coefficient(i) == 0) return SMALLER;
  if (h2.coefficient(i) == 0) return LARGER;

  int s = CGAL_NTS sign(h1.coefficient(i)) *
          CGAL_NTS sign(h2.coefficient(i));
  RT s1 = (RT)s * h2.coefficient(i);
  RT s2 = (RT)s * h1.coefficient(i);
  // |s1 * h1.coefficient(i)| is
  // $\Labs{ |h1.coefficient(i)*h2.coefficient(i)| }$

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

template <class RT, class LA>
Comparison_result HyperplaneHd<RT,LA>::
strong_cmp(const HyperplaneHd<RT,LA>& h1,
           const HyperplaneHd<RT,LA>& h2)
{
  CGAL_assertion_msg((h1.dimension()==h2.dimension()),
  "HyperplaneHd::strong_cmp: dimensions disagree.");
  if (h1.identical(h2))  return EQUAL;

  int i;
  int d = h1.dimension();
  for (i = 0; i <=d &&
              h1.coefficient(i)==0 &&
              h2.coefficient(i)==0; i++) {}
  int c1 = CGAL_NTS sign(h1.coefficient(i));
  int c2 = CGAL_NTS sign(h2.coefficient(i));
  if (c1 != c2) return CGAL_NTS compare(c1,c2);
  RT s1 = (RT)(int)CGAL_NTS sign(h2.coefficient(i)) * h2.coefficient(i);
  RT s2 = (RT)(int)CGAL_NTS sign(h1.coefficient(i)) * h1.coefficient(i);

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

template <class RT, class LA>
std::istream& operator>>(std::istream& I, HyperplaneHd<RT,LA>& h)
{ h.copy_on_write(); h.ptr()->read(I); return I; }

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

} //namespace CGAL
#endif // CGAL_HYPERPLANEHD_C

