namespace boost
{
//----------------------------------------------------------------------------//
// //
// 20.6 Compile-time rational arithmetic [ratio] //
// //
//----------------------------------------------------------------------------//
// ratio
template <boost::intmax_t N, boost::intmax_t D = 1> class ratio;
// ratio arithmetic
template <class R1, class R2> struct ratio_add;
template <class R1, class R2> struct ratio_subtract;
template <class R1, class R2> struct ratio_multiply;
template <class R1, class R2> struct ratio_divide;
// 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;
// convenience SI typedefs
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000000)> atto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000)> femto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000)> pico;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000)> nano;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000)> micro;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000)> milli;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(100)> centi;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(10)> deci;
typedef ratio< BOOST_RATIO_INTMAX_C(10), BOOST_RATIO_INTMAX_C(1)> deca;
typedef ratio< BOOST_RATIO_INTMAX_C(100), BOOST_RATIO_INTMAX_C(1)> hecto;
typedef ratio< BOOST_RATIO_INTMAX_C(1000), BOOST_RATIO_INTMAX_C(1)> kilo;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000), BOOST_RATIO_INTMAX_C(1)> mega;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000), BOOST_RATIO_INTMAX_C(1)> giga;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000), BOOST_RATIO_INTMAX_C(1)> tera;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000000), BOOST_RATIO_INTMAX_C(1)> peta;
typedef ratio<BOOST_RATIO_INTMAX_C(1000000000000000000), BOOST_RATIO_INTMAX_C(1)> exa;
} // namespace boost
namespace mars_boost {} namespace boost = mars_boost; namespace mars_boost
{
//----------------------------------------------------------------------------//
// //
// 20.6 Compile-time rational arithmetic [ratio] //
// //
//----------------------------------------------------------------------------//
// ratio
template <mars_boost::intmax_t N, mars_boost::intmax_t D = 1> class ratio;
// ratio arithmetic
template <class R1, class R2> struct ratio_add;
template <class R1, class R2> struct ratio_subtract;
template <class R1, class R2> struct ratio_multiply;
template <class R1, class R2> struct ratio_divide;
#ifdef BOOST_RATIO_EXTENSIONS
template <class R1, class R2> struct ratio_gcd;
template <class R1, class R2> struct ratio_lcm;
template <class R> struct ratio_negate;
template <class R> struct ratio_abs;
template <class R> struct ratio_sign;
template <class R, int P> struct ratio_power;
#endif
// 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;
// convenience SI typedefs
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000000)> atto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000)> femto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000)> pico;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000)> nano;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000)> micro;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000)> milli;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(100)> centi;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(10)> deci;
typedef ratio< BOOST_RATIO_INTMAX_C(10), BOOST_RATIO_INTMAX_C(1)> deca;
typedef ratio< BOOST_RATIO_INTMAX_C(100), BOOST_RATIO_INTMAX_C(1)> hecto;
typedef ratio< BOOST_RATIO_INTMAX_C(1000), BOOST_RATIO_INTMAX_C(1)> kilo;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000), BOOST_RATIO_INTMAX_C(1)> mega;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000), BOOST_RATIO_INTMAX_C(1)> giga;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000), BOOST_RATIO_INTMAX_C(1)> tera;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000000), BOOST_RATIO_INTMAX_C(1)> peta;
typedef ratio<BOOST_RATIO_INTMAX_C(1000000000000000000), BOOST_RATIO_INTMAX_C(1)> exa;
#ifdef BOOST_RATIO_EXTENSIONS
#define BOOST_RATIO_1024 BOOST_RATIO_INTMAX_C(1024)
// convenience IEC typedefs
typedef ratio< BOOST_RATIO_1024> kibi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024> mebi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> gibi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> tebi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> pebi;
typedef ratio<BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> exbi;
#endif
} // namespace mars_boost