// Copyright (c) 1999  Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// 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; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// 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: svn+ssh://scm.gforge.inria.fr/svn/cgal/trunk/Kernel_23/include/CGAL/predicates/sign_of_determinant.h $
// $Id: sign_of_determinant.h 56667 2010-06-09 07:37:13Z sloriot $
// 
//
// Author(s)     : Sylvain Pion
//                 Stefan Schirra

#ifndef CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
#define CGAL_PREDICATES_SIGN_OF_DETERMINANT_H

#include <CGAL/determinant.h>

namespace CGAL {

template <class RT>
inline
typename Sgn<RT>::result_type
sign_of_determinant( const RT& a00,  const RT& a01,
                        const RT& a10,  const RT& a11)
{
  return enum_cast<Sign>(CGAL_NTS compare( a00*a11, a10*a01));
}

template <class RT>
inline
typename Sgn<RT>::result_type
sign_of_determinant( const RT& a00,  const RT& a01,  const RT& a02,
                        const RT& a10,  const RT& a11,  const RT& a12,
                        const RT& a20,  const RT& a21,  const RT& a22)
{
  return CGAL_NTS sign(determinant(a00, a01, a02,
                                         a10, a11, a12,
                                         a20, a21, a22));
}

template <class RT>
inline
typename Sgn<RT>::result_type
sign_of_determinant(
 const RT& a00,  const RT& a01,  const RT& a02,  const RT& a03,
 const RT& a10,  const RT& a11,  const RT& a12,  const RT& a13,
 const RT& a20,  const RT& a21,  const RT& a22,  const RT& a23,
 const RT& a30,  const RT& a31,  const RT& a32,  const RT& a33)
{
  return CGAL_NTS sign(determinant(a00, a01, a02, a03,
                                         a10, a11, a12, a13,
                                         a20, a21, a22, a23,
                                         a30, a31, a32, a33));
}

template <class RT>
CGAL_KERNEL_LARGE_INLINE
typename Sgn<RT>::result_type
sign_of_determinant(
 const RT& a00,  const RT& a01,  const RT& a02,  const RT& a03,  const RT& a04,
 const RT& a10,  const RT& a11,  const RT& a12,  const RT& a13,  const RT& a14,
 const RT& a20,  const RT& a21,  const RT& a22,  const RT& a23,  const RT& a24,
 const RT& a30,  const RT& a31,  const RT& a32,  const RT& a33,  const RT& a34,
 const RT& a40,  const RT& a41,  const RT& a42,  const RT& a43,  const RT& a44)
{
  return CGAL_NTS sign(determinant(a00, a01, a02, a03, a04,
                                         a10, a11, a12, a13, a14,
                                         a20, a21, a22, a23, a24,
                                         a30, a31, a32, a33, a34,
                                         a40, a41, a42, a43, a44));
}

template <class RT>
CGAL_KERNEL_LARGE_INLINE
typename Sgn<RT>::result_type
sign_of_determinant(
 const RT& a00, const RT& a01, const RT& a02, const RT& a03, const RT& a04,
 const RT& a05,
 const RT& a10, const RT& a11, const RT& a12, const RT& a13, const RT& a14,
 const RT& a15,
 const RT& a20, const RT& a21, const RT& a22, const RT& a23, const RT& a24,
 const RT& a25,
 const RT& a30, const RT& a31, const RT& a32, const RT& a33, const RT& a34,
 const RT& a35,
 const RT& a40, const RT& a41, const RT& a42, const RT& a43, const RT& a44,
 const RT& a45,
 const RT& a50, const RT& a51, const RT& a52, const RT& a53, const RT& a54,
 const RT& a55)
{
  return CGAL_NTS sign(determinant(a00, a01, a02, a03, a04, a05,
                                         a10, a11, a12, a13, a14, a15,
                                         a20, a21, a22, a23, a24, a25,
                                         a30, a31, a32, a33, a34, a35,
                                         a40, a41, a42, a43, a44, a45,
                                         a50, a51, a52, a53, a54, a55));
}

} //namespace CGAL

#endif // CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
