// Project Rational
// File rational.cpp

#include <iostream>
using namespace std;

#include "Rational.h"

// Default initialization is to 0/1.
Rational::Rational()
{
    numer = 0;
    denom = 1;
}

// Integer initialization n is
// represented as n/1.
Rational::Rational(int n)
{
    numer = n;
    denom = 1;
}

// Initialize to n/d.
Rational::Rational(int n, int d)
{
    numer = n;
    denom = d;
}

// Overloaded == operator.  
// a/b == c/d iff a*d == b*c.
bool Rational::operator==(Rational other)
{
    return (this -> numer * other.denom ==
            this -> denom * other.numer);
}

// Overloaded + operator.
// (a/b)+(c/d) := (a*d+b*c)/(b*d).
Rational Rational::operator+(Rational other)
{
    int n = numer * other.denom +
            denom * other.numer;
    int d = denom * other.denom;
    Rational r(n, d); 
    return r;
}

// Overloaded * operator.
// (a*b)/(c*d) := (a*c)/(b*d).
Rational Rational::operator*(Rational other)
{
    int n = numer * other.numer;
    int d = denom * other.denom;
    Rational r(n, d); 
    return r;
}

// Print Rational object.
void Rational::print()
{
    cout << numer << "/" << denom;
}

// Overloaded file output function.
ostream& operator<<(ostream &out, Rational r)
{
    r.print();
    return out;
}