#include "Fraction.h"
#include <cstdlib>

Fraction::Fraction(FractionPart num, FractionPart den)
	: numerator(num)
	, denominator(den ? den : 1)
{
	simplify();
}

Fraction::~Fraction()
{
}

FractionPart Fraction::greatestCommonDivisor(FractionPart a, FractionPart b)
{
	a = abs(a);
	b = abs(b);

	while (b)
	{
		FractionPart t = b;
		b = a % t;
		a = t;
	}
	return a;
}

bool Fraction::simplify()
{
	FractionPart gdc = greatestCommonDivisor(numerator, denominator);
	numerator /= gdc;
	denominator /= gdc;
	return gdc > 1;
}

std::istream& operator>>(std::istream& input, Fraction& fraction)
{
	input >> fraction.numerator;

	// ignore '/' separator and whitespace
	while ( isspace(input.get()) )
		;

	return input >> fraction.denominator;
}

std::ostream& operator<<(std::ostream& output, const Fraction& fraction)
{
	return output << fraction.numerator << '/' << fraction.denominator;
}

Fraction Fraction::operator*(const Fraction& other) const
{
	return Fraction(numerator * other.numerator, denominator * other.denominator);
}

Fraction operator+(const Fraction& f1, const Fraction& f2)
{
	return Fraction(f1.getNumerator() * f2.getDenominator()
		+ f1.getDenominator() * f2.getNumerator()
		, f1.getDenominator() * f2.getDenominator() );
}