#ifndef _RATIONAL_H
#define _RATIONAL_H

#include <iostream>
#include <stdexcept>

using std::ostream;

class Rational
{
 private:
  int nume;  // numerator
  int denom;  // denominator
  void reduce();

 public:
  Rational(int n = 0, int d = 1) throw (std::domain_error);

  Rational operator-() const;

  // cast operator overloads
  operator int() const;
  operator double() const;

  double compare(const Rational &) const;

  Rational operator+(const Rational &) const;

  bool operator==(const Rational &rhs) const;

  bool operator<=(const Rational & rhs) const
  { return compare(rhs) <= 0; }

  bool operator<(const Rational & rhs) const
  { return this->compare(rhs) < 0; }

  bool operator>(const Rational & rhs) const
  { return this->compare(rhs) > 0; } ;

  bool operator>=(const Rational & rhs) const
  { return *this > rhs || *this == rhs; } ;

  // mutating operators
  // default operator = is member-wise = => sufficient
  Rational & operator+=(const Rational &);
 
  friend ostream& operator<<(ostream &, const Rational &);

}; // end of Rational

#endif