#include "rat.h"
#include <sstream>

// These functions can be useful for calculations with fractions

rat::rat() : num(0),den(1)
{
}

rat::rat(int n):num(n),den(1)
{
}

rat::rat(int n, int d):num(n),den(d)
{
    if(den==0)
    {
        num=0;
        den=1;

    }
	reduce();
}

int gcd(int x, int y)
{
    if (y == 0)
        return x;
    return gcd(y, x % y);
}

int lcm(int x, int y)
{
    return (x * y) / gcd(x, y);
}


int rat::getNum() const
{
    return num;
}

int rat::getDen() const
{
    return den;
}

void rat::reduce()
{
    int g = gcd(num, den);
    num /= g;
    den /= g;
    if(den < 0)
	{
	num = -num;
	den = -den;
	}
 }

rat rat::reciprocal() const
{

 rat result(den,num);
 return result;
}

rat rat::operator+(const rat& right) const
{
	rat result;
	result.den = den * right.den;
	result.num = (num * right.den) + den * right.num;
	result.reduce();
	return result;
}

rat rat::operator-(const rat& right) const
{
	rat result;
	result.den = den * right.den;
	result.num = (num * right.den) - den * right.num;
	result.reduce();
	return result;
}

rat rat::operator*(const rat& right) const
{
	rat result;
	result.den = den * right.den;
	result.num = (num * right.num);
	result.reduce();
	return result;
}

rat rat::operator/(const rat& right) const
{
	rat result;
	result.den = den * right.num;
	result.num = num*right.den;
	result.reduce();
	return result;
}


bool rat::operator==(const rat& right) const
{
	rat r = (*this) - right;
	return r.num == 0 && r.den ==1;


}

bool rat::operator!=(const rat& right) const
{
	rat r = (*this) - right;
	return !((*this)==right);


}
bool rat::operator<(const rat& right) const
{
	rat r = (*this) - right;
	r.reduce();
	return r.num<0;

}
bool rat::operator>(const rat& right) const
{
	rat r = (*this) - right;
	r.reduce();
	return r.num>0;

}

bool rat::operator<=(const rat& right) const
{

	return ((*this)<right || (*this) == right);

}

bool rat::operator>=(const rat& right) const
{

	return ((*this)>right || (*this) == right);

}

std::string rat::str() const
{
	std::stringstream s;
	s<<num<<"/"<<den;
	return s.str();
}