#ifndef EXERCISE_3_HPP_
#define EXERCISE_3_HPP_

#include <iostream>

class Fraction
{
private:
	bool is_zero;
	bool is_integer;
	int numerator;
	int denominator;

	/*
	 * Поиск наибольшего общего делителя
	 * для числителя и знаменателя
	 */
	int NOD(int n1, int n2)
	{
		int div;
		if (n1 == n2)  return n1;
		int d = n1 - n2;
		if (d < 0)
		{
			d = -d;
			div = NOD(n1, d);
		}
		else
			div = NOD(n2, d);

		return div;
	}

	/*
	 * Поиск наименьшего общего кратного
	 * для знаменателей
	 */
	int NOK(int n1, int n2)
	{
		return n1 * n2 / NOD(n1, n2);
	}

	/*
	 * Функция сокращения дроби
	 */
	void reduceFraction(int& a, int& b)
	{
		int divisor = NOD(abs(a), abs(b));
		a = a / divisor;
		b = b / divisor;
	}
public:
	Fraction () : numerator(0), denominator(0)
	{
		is_zero = true;
		is_integer = true;
	}

	Fraction(int num, int dnum) : numerator(num), denominator(dnum)
	{
		if (numerator == 0 || denominator == 0)
		{
			std::cout << "Числитель или знаменатель не может быть нулевым!\n"
					<< "Число будет инициализировано нулём!" << std::endl;
			numerator = 0;
			denominator = 0;
			is_zero = true;
			is_integer = true;
		}
		else
		{
			is_zero = false;
			is_integer = (abs(numerator) == abs(denominator) || denominator == 1);
		}
	}

	friend std::ostream& operator<<(std::ostream&, const Fraction&);

	Fraction operator+(const Fraction&);
	Fraction operator-(const Fraction&);
	Fraction operator*(const Fraction&);
	Fraction operator/(const Fraction&);

	Fraction operator-() const;

	bool operator==(const Fraction&);
	bool operator!=(const Fraction&);
	bool operator<(const Fraction&);
	bool operator>=(const Fraction&);
	bool operator>(const Fraction&);
	bool operator<=(const Fraction&);
};

std::ostream& operator<<(std::ostream& s, const Fraction& f)
{
	if (f.is_integer)
	{
		if (f.is_zero)
			s << f.numerator;
		else
			s << f.numerator / f.denominator;
	}
	else
		s << f.numerator << '/' << f.denominator;

	return s;
}

Fraction Fraction::operator+(const Fraction& f)
{
	if (f.is_zero)
		return Fraction(numerator, denominator);

	if (is_zero)
		return Fraction(f.numerator, f.denominator);

	int new_denominator = NOK(denominator, f.denominator);
	int new_numerator = numerator * (new_denominator / denominator) + f.numerator * (new_denominator / f.denominator);

	reduceFraction(new_numerator, new_denominator);

	return Fraction(new_numerator, new_denominator);
}

Fraction Fraction::operator-(const Fraction& f)
{
	if (f.is_zero)
		return Fraction(numerator, denominator);

	if (is_zero)
		return Fraction(-f.numerator, f.denominator);

	int new_denominator = NOK(denominator, f.denominator);
	int new_numerator = numerator * (new_denominator / denominator) - f.numerator * (new_denominator / f.denominator);

	if (new_numerator == 0)
		return Fraction();

	reduceFraction(new_numerator, new_denominator);

	return Fraction(new_numerator, new_denominator);
}

Fraction Fraction::operator*(const Fraction& f)
{
	if (is_zero || f.is_zero)
		return Fraction();

	int new_numerator = numerator * f.numerator;
	int new_denominator = denominator * f.denominator;

	reduceFraction(new_numerator, new_denominator);

	return Fraction(new_numerator, new_denominator);
}

Fraction Fraction::operator/(const Fraction& f)
{
	if (f.is_zero)
	{
		std::cout << " [На 0 делить нельзя!] ";
		return Fraction();
	}

	if (is_zero)
		return Fraction();

	return *this * Fraction(f.denominator, f.numerator);
}

Fraction Fraction::operator-() const
{
	return Fraction(-numerator, denominator);
}

bool Fraction::operator==(const Fraction& f)
{
	if (is_zero || f.is_zero)
		return numerator == f.numerator;

	int a_n = numerator;
	int a_d = denominator;

	int b_n = f.numerator;
	int b_d = f.denominator;

	reduceFraction(a_n, a_d);
	reduceFraction(b_n, b_d);

	return a_n == b_n && a_d == b_d;
}

bool Fraction::operator!=(const Fraction& f)
{
	return !(*this == f);
}

bool Fraction::operator<(const Fraction& f)
{
	if (is_zero || f.is_zero)
		return numerator < f.numerator;

	int new_denominator = NOK(denominator, f.denominator);
	int a_n = numerator * (new_denominator / denominator);
	int b_n = f.numerator * (new_denominator / f.denominator);

	return a_n < b_n;
}

bool Fraction::operator>=(const Fraction& f)
{
	return (*this == f || !(*this < f));
}

bool Fraction::operator>(const Fraction& f)
{
	return (*this != f && !(*this < f));
}

bool Fraction::operator<=(const Fraction& f)
{
	return (*this == f || *this < f);
}

#endif