#include "exact_number.h"
#include <stdexcept>
#include <iostream>

ExactNumber::ExactNumber()
{
    numer = 0;
    denom = 1;
}


ExactNumber::ExactNumber(int n, int d)
{
    numer = n;
    denom = d;
    simplify();
}

ExactNumber::ExactNumber(const ExactNumber& n)
{
    numer = n.numer;
    denom = n.denom;
}

ExactNumber::~ExactNumber() {}

ExactNumber& ExactNumber::operator=(const ExactNumber& rhs) 
{
    if (this != &rhs) {
        numer = rhs.numer;
        denom = rhs.denom;
    }
    return *this;
}

ExactNumber& ExactNumber::operator+=(const ExactNumber& rhs) 
{
    numer = numer * rhs.denom + denom * rhs.numer;
    denom *= rhs.denom;
    simplify();
    return *this;
}

ExactNumber& ExactNumber::operator-=(const ExactNumber& rhs) 
{
    numer = numer * rhs.denom - denom * rhs.numer;
    denom *= rhs.denom;
    simplify();
    return *this;
}

ExactNumber& ExactNumber::operator*=(const ExactNumber& rhs) 
{
    numer *= rhs.numer;
    denom *= rhs.denom;
    simplify();
    return *this;
}

ExactNumber& ExactNumber::operator/=(const ExactNumber& rhs) 
{
    numer *= rhs.denom;
    denom *= rhs.numer;
    simplify();
    return *this;
}

ExactNumber operator+(const ExactNumber& lhs, const ExactNumber& rhs)
{
    ExactNumber result(lhs);
    result += rhs;
    return result;
}

ExactNumber operator-(const ExactNumber& lhs, const ExactNumber& rhs)
{
    ExactNumber result(lhs);
    result -= rhs;
    return result;
}


ExactNumber operator*(const ExactNumber& lhs, const ExactNumber& rhs)
{
    ExactNumber result(lhs);
    result *= rhs;
    return result;
}

ExactNumber operator/(const ExactNumber& lhs, const ExactNumber& rhs)
{
    ExactNumber result(lhs);
    result /= rhs;
    return result;
}

bool ExactNumber::operator==(const ExactNumber& rhs) const 
{
    return numer == rhs.numer && denom == rhs.denom;
}

bool ExactNumber::operator!=(const ExactNumber& rhs) const 
{
    return !(*this == rhs);
}

bool ExactNumber::operator<(const ExactNumber& rhs) const 
{
    return numer * rhs.denom < denom * rhs.numer;
}

bool ExactNumber::operator>(const ExactNumber& rhs) const 
{
    return numer * rhs.denom > denom * rhs.numer;
}

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

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

std::ostream& operator<<(std::ostream& os, const ExactNumber& n) 
{
    os << n.numer << "/" << n.denom;
    return os;
}