// Copyright (c) 2005-2006  INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// Partially supported by the IST Programme of the EU as a Shared-cost
// RTD (FET Open) Project under Contract No  IST-2000-26473
// (ECG - Effective Computational Geometry for Curves and Surfaces)
// and a STREP (FET Open) Project under Contract No  IST-006413
// (ACS -- Algorithms for Complex Shapes)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.0.1/Algebraic_kernel_for_spheres/include/CGAL/Polynomials_for_line_3.h $
// $Id: include/CGAL/Polynomials_for_line_3.h 50cfbde3b84 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
//             Sylvain Pion
//             Pedro Machado

#ifndef CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_FOR_LINE_3_H
#define CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_FOR_LINE_3_H

#include <CGAL/license/Circular_kernel_3.h>


#include <CGAL/enum.h>

namespace CGAL {

template < typename FT_ >
class Polynomials_for_line_3
{
  FT_ rep[6]; // stores a1, b1, a2, b2, c3, d3
              // x = a1 t + b1
              // y = a2 t + b2
              // z = a3 t + b3
public:

  typedef FT_ FT;

  Polynomials_for_line_3(){}

  Polynomials_for_line_3(const FT & a1, const FT & b1,
                 const FT & a2, const FT & b2,
                 const FT & a3, const FT & b3)
  {
    rep[0] = a1;
    rep[1] = b1;
    rep[2] = a2;
    rep[3] = b2;
    rep[4] = a3;
    rep[5] = b3;
  }

  const FT & a1() const
  { return rep[0]; }

  const FT & b1() const
  { return rep[1]; }

  const FT & a2() const
  { return rep[2]; }

  const FT & b2() const
  { return rep[3]; }

  const FT & a3() const
  { return rep[4]; }

  const FT & b3() const
  { return rep[5]; }

  bool degenerated() const {
    return is_zero(a1()) &&
           is_zero(a2()) &&
           is_zero(a3());
  }

};

template < typename FT >
inline
bool
operator == ( const Polynomials_for_line_3<FT> & p1,
              const Polynomials_for_line_3<FT> & p2 )
{
  return( (p1.a1() == p2.a1()) &&
          (p1.b1() == p2.b1()) &&
          (p1.a2() == p2.a2()) &&
          (p1.b2() == p2.b2()) &&
          (p1.a3() == p2.a3()) &&
          (p1.b3() == p2.b3()));
}

} //namespace CGAL

#endif //CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_FOR_LINE_3_H

