// rational.h -- interface to simple Rational number class.
// cse143 assignment 1 sample solution, Jan. 1999.  HP

#include <iostream.h>

class Rational {
public:
	// constructors
	Rational();		// = 0/1
	Rational(int n);	// = n/1
	Rational(int n, int d);	// = n/d

	// component access
	friend int num(Rational);
	friend int denom(Rational);

	// arithmetic operations
	friend Rational operator+(Rational, Rational);
	friend Rational operator-(Rational);
	friend Rational operator-(Rational, Rational);
	friend Rational operator*(Rational, Rational);
	friend Rational operator/(Rational, Rational);

	// relational operators
	friend bool operator< (Rational, Rational);
	friend bool operator<=(Rational, Rational);
	friend bool operator==(Rational, Rational);
	friend bool operator!=(Rational, Rational);
	friend bool operator> (Rational, Rational);
	friend bool operator>=(Rational, Rational);

	// stream output: r displayed as numerator/denominator
	friend ostream& operator<<(ostream &s, Rational r);

private:
	int nm, dn;	// Numerator and denominator of Rational nm/dn.
			// Invariant: dn>0 and nm and dn have no common factors.
			// other than 1.  0 is uniquely represented as 0/1.

};