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

long GCD(long x, long y) // Get the greatest common divisor.
{
	long remainder; // Holds the remainder.
	x = abs(x);
	y = abs(y);
	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;
	
	if(GCD(x,c) > 0)
	{
		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 * op.c) + (op.a * c);
	res.b = (b/c) + (op.b/op.c);
	res.c = (c * op.c);
	return res;
}

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

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

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

// Read each value.
void MixedExpression::ReadMixedExp(istream &in)
{
	char remove;
	in >> remove >> a >> remove >> b >> remove >> c >> remove;
}

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