#ifndef RATIONAL_H
#define RATIONAL_H

#include <cassert>
#include <iosfwd>

using std::istream;
using std::ostream;

class Rational
{
   int numerator;
   int denominator;
   void reduce();
   double toDouble() const;

public:
   Rational(int numerator = 0, int denominator = 1);
   Rational operator-() const;
   friend Rational operator+(const Rational&, const Rational&);
   friend Rational operator-(const Rational&, const Rational&);
   friend Rational operator*(const Rational&, const Rational&);
   friend Rational operator/(const Rational&, const Rational&);
   friend ostream& operator<<(ostream&, const Rational&);

   // Extra credit stuff
   Rational& operator+=(const Rational&);
   Rational& operator-=(const Rational&);
   Rational& operator*=(const Rational&);
   Rational& operator/=(const Rational&);
   friend istream& operator>>(istream&, Rational&);
   friend bool operator<(const Rational&, const Rational&);
   friend bool operator>(const Rational&, const Rational&);
   friend bool operator<=(const Rational&, const Rational&);
   friend bool operator>=(const Rational&, const Rational&);
   friend bool operator==(const Rational&, const Rational&);
   friend bool operator!=(const Rational&, const Rational&);
};

inline Rational::Rational(int numerator, int denominator)
{
   this->numerator = numerator;
   this->denominator = denominator;
   assert(denominator != 0);
   reduce();
}

inline Rational Rational::operator-() const
{
   return Rational(-numerator, denominator);
}

inline Rational operator+(const Rational& r1, const Rational& r2)
{
   Rational temp(r1);
   return temp += r2;
}

inline Rational operator-(const Rational& r1, const Rational& r2)
{
   Rational temp(r1);
   return temp -= r2;
}

inline Rational operator*(const Rational& r1, const Rational& r2)
{
   Rational temp(r1);
   return temp *= r2;
}

inline Rational operator/(const Rational& r1, const Rational& r2)
{
   Rational temp(r1);
   return temp /= r2;
}

inline bool operator<(const Rational& r1, const Rational& r2)
{
   return r1.toDouble() < r2.toDouble();
}

inline bool operator>(const Rational& r1, const Rational& r2)
{
   return r1.toDouble() > r2.toDouble();
}

inline bool operator<=(const Rational& r1, const Rational& r2)
{
   return r1.toDouble() <= r2.toDouble();
}

inline bool operator>=(const Rational& r1, const Rational& r2)
{
   return r1.toDouble() >= r2.toDouble();
}

inline bool operator==(const Rational& r1, const Rational& r2)
{
   return r1.toDouble() == r2.toDouble();
}

inline bool operator!=(const Rational& r1, const Rational& r2)
{
   return !(r1.toDouble() == r2.toDouble());
}

inline double Rational::toDouble() const
{
   return double(numerator)/denominator;
}

#endif