///////    File Fraction.h    ///////

// With friend operator s, I/O operator s, and user-defined conversions

#include <iostream.h>

class Fraction
{       friend Fraction operator +(const Fraction&,int);
   public:
     Fraction() { }
     Fraction(int n, int d, int reduce=1);           // d is not zero
     void read(istream& in = cin);                   // input fraction
     void display(ostream& out = cout) const ;       // display fraction
     operator double()
     { return ( double(num)/double(denom) ); }       // conversion to double
     Fraction operator + (const Fraction& y) const ;
     Fraction operator - () const ;                  // unary negation
     Fraction operator - (const Fraction& y) const ;
     Fraction operator * (const Fraction& y) const ;
     Fraction operator / (const Fraction& y) const ;
     int operator == (const Fraction& y) const ; 
     int operator >  (const Fraction& y) const ;
     int operator <  (const Fraction& y) const ;
     int operator >= (const Fraction& y) const ;
     int operator <= (const Fraction& y) const ;
     int is_zero() const ;
     int is_one() const ;
     int is_int() const ;
     int floor() const ;
     int ceiling() const ;
     int operator [] (unsigned int i);  // must be member
   private:
     int num;
     int denom;
};


ostream& operator <<(ostream& out, Fraction& x);

istream& operator >>(istream& in, Fraction& x);

inline Fraction operator *(const Fraction& fra, int i)
       {   
           return(fra*Fraction(1,i));
       }

inline  void Fraction::display(ostream& out /*= cout*/) const
        {  out << num << "/" << denom; }

inline  int Fraction:: operator ==(const Fraction& y) const
        {  return( num == y.num && denom == y.denom );
        }

inline  int Fraction::is_zero() const
        { return ( denom == 1 && num == 0 ); }

inline  int Fraction::is_one() const  
        { return ( denom == 1 && num == 1 ); }

inline  int Fraction::is_int() const  
        { return ( denom == 1 ); }