// Copyright (c) 1999  
// 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: https://github.com/CGAL/cgal/blob/releases/CGAL-4.14.3/Kernel_23/include/CGAL/predicates/sign_of_determinant.h $
// $Id: sign_of_determinant.h 0698f79 2017-10-20T23:34:14+02:00 Sébastien Loriot
// SPDX-License-Identifier: LGPL-3.0+
// 
//
// Author(s)     : Sylvain Pion
//                 Stefan Schirra

#ifndef CGAL_PREDICATES_SIGN_OF_DETERMINANT_H
#define CGAL_PREDICATES_SIGN_OF_DETERMINANT_H

#include <CGAL/determinant.h>
#include <CGAL/number_utils_classes.h>
#include <CGAL/number_type_basic.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
