template<class R1, class R2>
struct ratio_equal : bool_constant<R1::num == R2::num && R1::den == R2::den> { };
template<class R1, class R2>
struct ratio_not_equal : bool_constant<!ratio_equal_v<R1, R2>> { };
template<class R1, class R2>
struct ratio_less : bool_constant<see below> { };
template<class R1, class R2>
struct ratio_less_equal : bool_constant<!ratio_less_v<R2, R1>> { };
template<class R1, class R2>
struct ratio_greater : bool_constant<ratio_less_v<R2, R1>> { };
template<class R1, class R2>
struct ratio_greater_equal : bool_constant<!ratio_less_v<R1, R2>> { };