RationalNumber operator ^ (const RationalNumber& B) const throw(std::invalid_argument)
{
if (!isFraction() || !B.isInteger())
{
return RationalNumber(powl(getRealNumber(), B.getRealNumber()));
}
RationalNumber S(1, 1);
RationalNumber A = *this;
long long n = B.numerator;
if (n < 0)
{
A = RationalNumber(1, 1) / A;
n = -n;
}
while (n)
{
if (n & 1)
{
S = S * A;
}
A = A * A;
n >>= 1;
}
return S;
}
RationalNumber operator * (const RationalNumber& B) const
{
if (!isFraction() || !B.isFraction())
{
return RationalNumber(getRealNumber() * B.getRealNumber());
}
return RationalNumber(numerator * B.numerator, denominator * B.denominator);
}
RationalNumber operator / (const RationalNumber& B) const throw(std::domain_error)
{
if (!isFraction() || !B.isFraction())
{
return RationalNumber(getRealNumber() / B.getRealNumber());
}
if (B.numerator == 0)
{
throw std::domain_error("Division by zero!");
}
return RationalNumber(numerator * B.denominator, denominator * B.numerator);
}
