// Copyright (c) 2006-2007 Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v5.5.1/Algebraic_foundations/include/CGAL/Real_embeddable_traits.h $
// $Id: Real_embeddable_traits.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Michael Hemmer    <hemmer@mpi-inf.mpg.de>
//
// =============================================================================


#ifndef CGAL_REAL_EMBEDDABLE_TRAITS_H
#define CGAL_REAL_EMBEDDABLE_TRAITS_H

#include <CGAL/Algebraic_structure_traits.h>

namespace CGAL {

namespace INTERN_RET {

template< class T, class AST_is_zero >
struct  Is_zero_selector{ typedef AST_is_zero Type; };

template< class T >
struct Is_zero_selector< T, Null_functor >
{
  struct Type : public CGAL::cpp98::unary_function< T, bool >{
    bool operator()( const T& x ) const {
      return x == T(0);
    }
  };
};

template < class Type_ , class Is_real_embeddable_  >
class Real_embeddable_traits_base{
public:
  typedef Type_                 Type;
  typedef Is_real_embeddable_   Is_real_embeddable;
  typedef Null_tag              Boolean;
  typedef Null_tag              Sign;
  typedef Null_tag              Comparison_result;

  typedef Null_functor Abs;
  typedef Null_functor Sgn;
  typedef Null_functor Is_finite;
  typedef Null_functor Is_positive;
  typedef Null_functor Is_negative;
  typedef Null_functor Is_zero;
  typedef Null_functor Compare;
  typedef Null_functor To_double;
  typedef Null_functor To_interval;
};

template< class Type_ >
class Real_embeddable_traits_base<Type_, CGAL::Tag_true> {
public:
  typedef Type_                    Type;
  typedef Tag_true                 Is_real_embeddable;
  typedef bool                     Boolean;
  typedef CGAL::Sign               Sign;
  typedef CGAL::Comparison_result  Comparison_result;

private:
  typedef typename Algebraic_structure_traits< Type >::Is_zero AST_Is_zero;
public:
  //! The generic \c Is_zero functor implementation uses one comparison
  typedef typename INTERN_RET::Is_zero_selector< Type, AST_Is_zero >::Type
  Is_zero;

  //! The generic \c Is_finite functor returns true
  class Is_finite : public CGAL::cpp98::unary_function< Type, Boolean > {
  public:
    Boolean operator()( const Type& ) const {
      return true;
    }
  };

  //! The generic \c Abs functor implementation
  //! uses one comparisons and the unary minus if necessary.
  class Abs
    : public CGAL::cpp98::unary_function< Type, Type > {
  public:
    //! the function call.
    Type  operator()( const Type& x ) const {
      return( x < Type(0) ) ? -x : x;
    }
  };

  //! The generic \c Sgn functor implementation uses two comparisons.
  class Sgn
    : public CGAL::cpp98::unary_function< Type, ::CGAL::Sign > {
  public:
    //! the function call.
    ::CGAL::Sign operator()( const Type& x ) const {
      if ( x < Type(0))
        return NEGATIVE;
      if ( x > Type(0))
        return POSITIVE;
      return ZERO;
    }
  };

  //! The generic \c Is_positive functor implementation uses one comparison.
  class Is_positive
    : public CGAL::cpp98::unary_function< Type, Boolean > {
  public:
    //! the function call.
    Boolean operator()( const Type& x ) const {
      return x > Type(0);
    }
  };

  //! The generic \c Is_negative functor implementation uses one comparison.
  class Is_negative
    : public CGAL::cpp98::unary_function< Type, Boolean > {
  public:
    //! the function call.
    Boolean operator()( const Type& x ) const {
      return x < Type(0);
    }
  };

  //! The generic \c Compare functor implementation uses two comparisons.
  class Compare
    : public CGAL::cpp98::binary_function< Type, Type,
                                Comparison_result > {
  public:
    //! the function call.
    Comparison_result operator()( const Type& x,
        const Type& y) const {
      if( x < y )
        return SMALLER;
      if( x > y )
        return LARGER;
      return EQUAL;
    }

    CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR_WITH_RT( Type,
        Comparison_result )
      };

  class To_double : public CGAL::cpp98::unary_function< Type, double > {
  public:
    double operator()( const Type& x ) const {
      return static_cast<double>(x);
    }
  };

  class To_interval
    : public CGAL::cpp98::unary_function< Type, std::pair<double,double> > {
  public:
    std::pair<double,double> operator()( const Type& x ) const {
      double dx(static_cast<double>(x));
      return std::make_pair(dx,dx);
    }
  };
};

} // INTERN_RET


template< class Type_ >
class Real_embeddable_traits
  : public INTERN_RET::Real_embeddable_traits_base<Type_,CGAL::Tag_false> {};

} //namespace CGAL

#endif  // CGAL_REAL_EMBEDDABLE_TRAITS_H
