21 Metaprogramming library [meta]

21.4 Compile-time rational arithmetic [ratio]

21.4.2 Header <ratio> synopsis [ratio.syn]

namespace std { // [ratio.ratio], class template ratio template<intmax_t N, intmax_t D = 1> class ratio; // [ratio.arithmetic], ratio arithmetic template<class R1, class R2> using ratio_add = see below; template<class R1, class R2> using ratio_subtract = see below; template<class R1, class R2> using ratio_multiply = see below; template<class R1, class R2> using ratio_divide = see below; // [ratio.comparison], ratio comparison template<class R1, class R2> struct ratio_equal; template<class R1, class R2> struct ratio_not_equal; template<class R1, class R2> struct ratio_less; template<class R1, class R2> struct ratio_less_equal; template<class R1, class R2> struct ratio_greater; template<class R1, class R2> struct ratio_greater_equal; template<class R1, class R2> inline constexpr bool ratio_equal_v = ratio_equal<R1, R2>::value; template<class R1, class R2> inline constexpr bool ratio_not_equal_v = ratio_not_equal<R1, R2>::value; template<class R1, class R2> inline constexpr bool ratio_less_v = ratio_less<R1, R2>::value; template<class R1, class R2> inline constexpr bool ratio_less_equal_v = ratio_less_equal<R1, R2>::value; template<class R1, class R2> inline constexpr bool ratio_greater_v = ratio_greater<R1, R2>::value; template<class R1, class R2> inline constexpr bool ratio_greater_equal_v = ratio_greater_equal<R1, R2>::value; // [ratio.si], convenience SI typedefs using yocto = ratio<1, 1'000'000'000'000'000'000'000'000>; // see below using zepto = ratio<1, 1'000'000'000'000'000'000'000>; // see below using atto = ratio<1, 1'000'000'000'000'000'000>; using femto = ratio<1, 1'000'000'000'000'000>; using pico = ratio<1, 1'000'000'000'000>; using nano = ratio<1, 1'000'000'000>; using micro = ratio<1, 1'000'000>; using milli = ratio<1, 1'000>; using centi = ratio<1, 100>; using deci = ratio<1, 10>; using deca = ratio< 10, 1>; using hecto = ratio< 100, 1>; using kilo = ratio< 1'000, 1>; using mega = ratio< 1'000'000, 1>; using giga = ratio< 1'000'000'000, 1>; using tera = ratio< 1'000'000'000'000, 1>; using peta = ratio< 1'000'000'000'000'000, 1>; using exa = ratio< 1'000'000'000'000'000'000, 1>; using zetta = ratio< 1'000'000'000'000'000'000'000, 1>; // see below using yotta = ratio<1'000'000'000'000'000'000'000'000, 1>; // see below }