// Lesson 4 files
// Andrew Fountain http://quadruple.ca
//
// fraction.h
#include <iostream>
using namespace std;

class Fraction {
private:
	double num;		// Numerator
	double den;		// Denominator
public:
	Fraction() : num(0), den(1) {}
	Fraction(double nn, double dd) : num(nn), den(dd) {}
	double getnum(void) { return num; }
	double getden(void) { return den; }
};

Fraction operator+ (Fraction& a, Fraction& b)
{
	Fraction sum;
	sum.num = (a.num*b.den) + (a.den*b.num);
	sum.den = (a.den*b.den);
	return sum;
}

// fraction.cpp
#include "fraction.h"

int main(int argc, char *argv[]) {
	Fraction a(1,8);
	Fraction b=a+a;
	cout << "Fraction b = " << b.getnum() << "/" << b.getden() << endl;
}

//--------------------------------------------MODIFIED
//needs to be added to class to make it work:
	friend Fraction operator+ (Fraction& a, Fraction& b);

	
	Fraction reduced (void) {
		int gcd;	// Greatest Common Denominator
		int tempn = abs(num);
		int tempd = abs(den);
		for (int k=1; k<=tempn; k++)
			if (((tempn % k)==0) && ((tempd % k)==0)) gcd = k;
		return Fraction(num/gcd, den/gcd);
	}
//and change last line of operator+ to:
	return sum.reduced();

	friend ostream& operator<< (ostream& o, Fraction& f) {
		o << f.num << "/" << f.den;
		return o;
	}

	cout << "Fraction b = " << b << endl;

///////////////////////////////////////////////////////////////////////////
// fraction.h exercise
#include <iostream>
using namespace std;

class Fraction {
private:
	double num;		// Numerator
	double den;		// Denominator
public:
	Fraction() : num(0), den(1) {}
	Fraction(double nn, double dd) : num(nn), den(dd) {}
	double getnum(void) { return num; }
	double getden(void) { return den; }
	friend Fraction operator+ (Fraction& a, Fraction& b);
	friend Fraction operator- (Fraction& a, Fraction& b);
	friend Fraction operator* (Fraction& a, Fraction& b);
	friend Fraction operator/ (Fraction& a, Fraction& b);
	Fraction reduced (void) {
		int gcd;	// Greatest Common Denominator
		int tempn = abs(num);
		int tempd = abs(den);
		for (int k=1; k<=tempn; k++)
			if (((tempn % k)==0) && ((tempd % k)==0)) gcd = k;
		return Fraction(num/gcd, den/gcd);
	}
	friend ostream& operator<< (ostream& o, Fraction& f) {
		o << f.num << "/" << f.den;
		return o;
	}
};

Fraction operator+ (Fraction& a, Fraction& b)
{
	Fraction sum;
	sum.num = (a.num*b.den) + (a.den*b.num);
	sum.den = (a.den*b.den);
	return sum.reduced();
}
Fraction operator- (Fraction& a, Fraction& b)
{
	Fraction sum;
	sum.num = (a.num*b.den) - (a.den*b.num);
	sum.den = (a.den*b.den);
	return sum.reduced();
}
Fraction operator* (Fraction& a, Fraction& b)
{
	Fraction sum;
	sum.num = (a.num*b.num);
	sum.den = (a.den*b.den);
	return sum.reduced();
}
Fraction operator/ (Fraction& a, Fraction& b)
{
	Fraction sum;
	sum.num = (a.num*b.den);
	sum.den = (a.den*b.num);
	return sum.reduced();
}

// fraction.cpp
#include "fraction.h"

int main(int argc, char *argv[]) {
	Fraction a(1,2);
	Fraction b(3,7);
	Fraction c(1,3);
	Fraction d(4,5);
	Fraction b=a+a;
	cout << "Sum = " << a+b << ", Diff = " << a-b << ", Prod = " << a*b << ", Qot = " << a/b << endl;
	cout << "Sum = " << c+d << ", Diff = " << c-d << ", Prod = " << c*d << ", Qot = " << c/d << endl;
}