#include "MixedExpression.h"
#include<iostream>
#include<fstream>
using namespace std;

long GCD(long x, long y) // Get the greatest common divisor.
{
	long remainder; // Holds the remainder.
	while(y != 0)
	{
		// Get the value of the remainder by dividing y by x.
		remainder = x % y;
		x = y;
		y = remainder;
	}
	// Return the greatest common divisor.
	return x; 
}
// Convert a mixed expression to its normal form.
void reduce(void)
{
	long a, b, c, x;
	long gcd;
	x = a + (b/c);
	gcd = GCD(x, c);
	x /= gcd;
	c /= gcd;
}

// Set three values in the default constructor to 0.
MixedExpression::MixedExpression()
{
	a = 0;
	b = 0;
	c = 1;
}

MixedExpression::MixedExpression(long d, long e, long f)
{
	a = d;
	b = e;
	c = f;
}

// Add two values and return the sum.
MixedExpression MixedExpression::add(MixedExpression op)
{
	MixedExpression res;
	res.a = (((a * c)/c) + (b/c)) + (((op.a * op.c)/op.c) + (op.b/op.c));
	return res;
}

// Subtract two values and return the difference.
MixedExpression MixedExpression::subtract(MixedExpression op)
{
	MixedExpression res;
	res.a = (((a * c)/c) + (b/c)) - (((op.a * op.c)/op.c) + (op.b/op.c));
	return res;
}

// Multiply two values and return the product.
MixedExpression MixedExpression::multiply(MixedExpression op)
{
	MixedExpression res;
	res.a = (((a * c)/c) + (b/c)) * (((op.a * op.c)/op.c) + (op.b/op.c));
	return res;
}

// Divide two values and return the quotient.
MixedExpression MixedExpression::divide(MixedExpression op)
{
	MixedExpression res;
	res.a = (((a * c)/c) + (b/c)) / (((op.a * op.c)/op.c) + (op.b/op.c));
	return res;
}

// Read each value while not at the end of the file.
void MixedExpression::ReadMixedExp(istream &in)
{
	in >> a >> b >> c;
}

// Print the results.
void MixedExpression::printData(ostream &out)
{
	out << "( " << a << " + " << b << " / " << c << " )" << endl;
}