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// -*- C++ -*- Time-stamp: <2011-04-21 16:37:26 ptr> |
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|
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/* |
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* Copyright (c) 2009-2011 |
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* Petr Ovtchenkov |
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* |
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* This material is provided "as is", with absolutely no warranty expressed |
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* or implied. Any use is at your own risk. |
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* |
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* Permission to use or copy this software for any purpose is hereby granted |
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* without fee, provided the above notices are retained on all copies. |
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* Permission to modify the code and to distribute modified code is granted, |
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* provided the above notices are retained, and a notice that the code was |
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* modified is included with the above copyright notice. |
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* |
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*/ |
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|
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#ifndef _STLP_RATIO |
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#define _STLP_RATIO |
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|
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# include <cstdint> |
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# include <type_traits> |
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|
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#ifndef _STLP_OUTERMOST_HEADER_ID |
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# define _STLP_OUTERMOST_HEADER_ID 0x23 |
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# include <stl/_prolog.h> |
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#endif |
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|
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_STLP_BEGIN_NAMESPACE |
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|
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template <intmax_t N, intmax_t D = 1LL> class ratio; |
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|
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// ratio arithmetic |
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|
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template <class R1, class R2> struct ratio_add; |
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template <class R1, class R2> struct ratio_subtract; |
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template <class R1, class R2> struct ratio_multiply; |
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template <class R1, class R2> struct ratio_divide; |
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|
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// ratio comparison |
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|
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template <class R1, class R2> struct ratio_equal; |
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template <class R1, class R2> struct ratio_not_equal; |
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template <class R1, class R2> struct ratio_less; |
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template <class R1, class R2> struct ratio_less_equal; |
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template <class R1, class R2> struct ratio_greater; |
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template <class R1, class R2> struct ratio_greater_equal; |
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|
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// convenience SI typedefs |
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|
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// typedef ratio<1LL, 1000000000000000000000000LL> yocto; // see 20.6.4 |
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// typedef ratio<1LL, 1000000000000000000000LL> zepto; // see 20.6.4 |
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typedef ratio<1LL, 1000000000000000000LL> atto; |
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typedef ratio<1LL, 1000000000000000LL> femto; |
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typedef ratio<1LL, 1000000000000LL> pico; |
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typedef ratio<1LL, 1000000000LL> nano; |
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typedef ratio<1LL, 1000000LL> micro; |
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typedef ratio<1LL, 1000LL> milli; |
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typedef ratio<1LL, 100LL> centi; |
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typedef ratio<1LL, 10LL> deci; |
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typedef ratio<10LL, 1LL> deca; |
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typedef ratio<100LL, 1LL> hecto; |
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typedef ratio<1000LL, 1LL> kilo; |
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typedef ratio<1000000LL, 1LL> mega; |
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typedef ratio<1000000000LL, 1LL> giga; |
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typedef ratio<1000000000000LL, 1LL> tera; |
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typedef ratio<1000000000000000LL, 1LL> peta; |
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typedef ratio<1000000000000000000LL, 1LL> exa; |
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// typedef ratio<1000000000000000000000LL, 1LL> zetta; // see 20.6.4 |
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// typedef ratio<1000000000000000000000000LL, 1LL> yotta; // see 20.6.4 |
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|
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namespace detail { |
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|
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template <intmax_t R> |
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struct __select_sign : |
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public _STLP_STD::integral_constant<intmax_t,(R>=0) ? 1LL : -1LL> |
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{ |
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}; |
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|
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template <intmax_t R> |
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struct __select_abs : |
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public _STLP_STD::integral_constant<intmax_t,(R>=0) ? R : -R> |
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{ |
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}; |
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|
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template <intmax_t U, intmax_t V> |
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struct __gcd : |
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public _STLP_STD::integral_constant<intmax_t,__gcd<__select_abs<V>::value,__select_abs<U>::value % __select_abs<V>::value>::value> |
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{ |
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}; |
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|
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template <intmax_t U> |
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struct __gcd<U, 0LL> : |
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public _STLP_STD::integral_constant<intmax_t,__select_abs<U>::value> |
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{ |
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}; |
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|
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} // namespace detail |
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|
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template <intmax_t N, intmax_t D> |
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class ratio |
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{ |
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public: |
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//#ifdef __FIT_CPP_0X |
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static constexpr intmax_t num = _STLP_STD::detail::__select_sign<D>::value * N / _STLP_STD::detail::__gcd<N,D>::value; |
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static constexpr intmax_t den = _STLP_STD::detail::__select_abs<D>::value / _STLP_STD::detail::__gcd<N,D>::value; |
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//#else |
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// static const intmax_t num = _STLP_STD::detail::__select_sign<D>::value * N / _STLP_STD::detail::__gcd<N,D>::value; |
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// static const intmax_t den = _STLP_STD::detail::__select_abs<D>::value / _STLP_STD::detail::__gcd<N,D>::value; |
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//#endif |
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}; |
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|
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namespace detail { |
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|
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template <class T> |
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struct __is_ratio : |
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public _STLP_STD::false_type |
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{ }; |
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|
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template <intmax_t N, intmax_t D> |
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struct __is_ratio<ratio<N,D> > : |
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public _STLP_STD::true_type |
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{ }; |
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|
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template <class R1, class R2> |
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struct _ratio_add // ratio<R1::num * R2::den + R2::num * R1::den, R1::den * R2::den> |
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{ |
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typedef _STLP_STD::ratio<R1::num * (R2::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value) + R2::num * (R1::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value), R1::den * (R2::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value)> type; |
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}; |
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|
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template <class R1, class R2> |
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struct _ratio_subtract // ratio<R1::num * R2::den - R2::num * R1::den, R1::den * R2::den> |
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{ |
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typedef _STLP_STD::ratio<R1::num * (R2::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value) - R2::num * (R1::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value), R1::den * (R2::den/_STLP_STD::detail::__gcd<R1::den,R2::den>::value)> type; |
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}; |
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|
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template <class R1, class R2> |
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struct _ratio_multiply // ratio<R1::num * R2::num, R1::den * R2::den> |
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{ |
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typedef _STLP_STD::ratio<(R1::num/_STLP_STD::detail::__gcd<R1::num,R2::den>::value)*(R2::num/_STLP_STD::detail::__gcd<R2::num,R1::den>::value),(R1::den/_STLP_STD::detail::__gcd<R2::num,R1::den>::value) * (R2::den/_STLP_STD::detail::__gcd<R1::num,R2::den>::value)> type; |
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}; |
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|
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template <class R1, class R2> |
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struct _ratio_divide // ratio<R1::num * R2::den, R2::num * R1::den> |
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{ |
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typedef _STLP_STD::ratio<(R1::num/_STLP_STD::detail::__gcd<R1::num,R2::num>::value) * (R2::den/_STLP_STD::detail::__gcd<R2::den,R1::den>::value),(R2::num/_STLP_STD::detail::__gcd<R1::num,R2::num>::value) * (R1::den/_STLP_STD::detail::__gcd<R2::den,R1::den>::value)> type; |
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}; |
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|
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} // namespace detail |
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|
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template <class R1, class R2> |
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struct ratio_add : // ratio<R1::num * R2::den + R2::num * R1::den, R1::den * R2::den> |
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public _STLP_STD::detail::_ratio_add<R1,R2>::type |
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{ |
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static_assert( _STLP_STD::detail::__is_ratio<R1>::value && _STLP_STD::detail::__is_ratio<R2>::value, "paramers must be a ratio" ); |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_subtract : // ratio<R1::num * R2::den - R2::num * R1::den, R1::den * R2::den> |
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public _STLP_STD::detail::_ratio_subtract<R1,R2>::type |
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{ |
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static_assert( _STLP_STD::detail::__is_ratio<R1>::value && _STLP_STD::detail::__is_ratio<R2>::value, "paramers must be a ratio" ); |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_multiply : // ratio<R1::num * R2::num, R1::den * R2::den> |
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public _STLP_STD::detail::_ratio_multiply<R1,R2>::type |
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{ |
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static_assert( _STLP_STD::detail::__is_ratio<R1>::value && _STLP_STD::detail::__is_ratio<R2>::value, "paramers must be a ratio" ); |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_divide : // ratio<R1::num * R2::den, R2::num * R1::den> |
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public _STLP_STD::detail::_ratio_divide<R1,R2>::type |
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{ |
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static_assert( _STLP_STD::detail::__is_ratio<R1>::value && _STLP_STD::detail::__is_ratio<R2>::value, "paramers must be a ratio" ); |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_equal : |
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public integral_constant<bool, (R1::num == R2::num) && (R1::den == R2::den)> |
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{ |
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static_assert( _STLP_STD::detail::__is_ratio<R1>::value && _STLP_STD::detail::__is_ratio<R2>::value, "paramers must be a ratio" ); |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_not_equal : |
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public integral_constant<bool, !ratio_equal<R1, R2>::value> |
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{ |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_less : |
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// public integral_constant<bool, (R1::num * R2::den) < (R2::num * R1::den)> |
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public integral_constant<bool, (ratio_divide<R1,R2>::num < ratio_divide<R1,R2>::den)> |
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{ |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_less_equal : |
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public integral_constant<bool, !ratio_less<R2, R1>::value> |
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{ |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_greater : |
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public integral_constant<bool, ratio_less<R2, R1>::value> |
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{ |
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}; |
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|
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template <class R1, class R2> |
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struct ratio_greater_equal : |
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public integral_constant<bool, !ratio_less<R1, R2>::value> |
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{ |
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}; |
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|
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_STLP_END_NAMESPACE |
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|
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#if (_STLP_OUTERMOST_HEADER_ID == 0x23) |
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# include <stl/_epilog.h> |
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# undef _STLP_OUTERMOST_HEADER_ID |
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#endif |
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|
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#endif // _STLP_RATIO |