// class for storing rational numbers that can be expressed as a ration a/b for
// integers a and b (b != 0).

#ifndef MY_RATIONAL_H
#define MY_RATIONAL_H

#include <iostream>

using namespace std;

// class invariants: denominator > 0 and fraction is in lowest terms

class rational {
public:
    // pre : denominator != 0
    rational(int numer = 0, int denom = 1);

    // returns the numerator part of this rational number
    int get_numerator() const;

    // returns the denominator part of this rational number
    int get_denominator() const;

    // overloaded -= operator
    rational & operator-=(const rational & rhs);

    // overloaded preincrement operator (++r)
    rational & operator++();

    // overloaded postincrement operator (r++)
    rational operator++(int dummy);

private:
    int numerator;
    int denominator;
    void fix_signs();
    void reduce();
};

// overloaded << operator
ostream & operator<<(ostream & out, const rational & value);

// overloaded - operator
rational operator-(const rational & lhs, const rational & rhs);

// overloaded == operator
bool operator==(const rational & lhs, const rational & rhs);

// overloaded != operator
bool operator!=(const rational & lhs, const rational & rhs);

// overloaded < operator
bool operator<(const rational & lhs, const rational & rhs);

// overloaded <= operator
bool operator<=(const rational & lhs, const rational & rhs);

// overloaded > operator
bool operator>(const rational & lhs, const rational & rhs);

// overloaded >= operator
bool operator>=(const rational & lhs, const rational & rhs);

#endif