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| template<typename _R1 , typename _R2 > | 
| using | std::ratio_divide = typename __ratio_divide< _R1, _R2 >::type | 
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| template<typename _R1 , typename _R2 > | 
| using | std::ratio_multiply = typename __ratio_multiply< _R1, _R2 >::type | 
|  | 
| typedef ratio< num, den > | std::ratio< _Num, _Den >::type | 
|  | 
| typedef ratio< __safe_multiply<(_R1::num/__gcd1),(_R2::num/__gcd2)>::value, __safe_multiply<(_R1::den/__gcd2),(_R2::den/__gcd1)>::value > | std::__ratio_multiply< _R1, _R2 >::type | 
|  | 
| typedef __ratio_multiply< _R1, ratio< _R2::den, _R2::num > >::type | std::__ratio_divide< _R1, _R2 >::type | 
|  | 
|  | 
| static constexpr uintmax_t | std::__big_add< __hi1, __lo1, __hi2, __lo2 >::__hi | 
|  | 
| static constexpr uintmax_t | std::__big_sub< __hi1, __lo1, __hi2, __lo2 >::__hi | 
|  | 
| static constexpr uintmax_t | std::__big_mul< __x, __y >::__hi | 
|  | 
| static constexpr uintmax_t | std::__big_add< __hi1, __lo1, __hi2, __lo2 >::__lo | 
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| static constexpr uintmax_t | std::__big_sub< __hi1, __lo1, __hi2, __lo2 >::__lo | 
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| static constexpr uintmax_t | std::__big_mul< __x, __y >::__lo | 
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| static constexpr uintmax_t | std::__big_div_impl< __n1, __n0, __d >::__quot | 
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| static constexpr uintmax_t | std::__big_div< __n1, __n0, __d >::__quot_hi | 
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| static constexpr uintmax_t | std::__big_div< __n1, __n0, __d >::__quot_lo | 
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| static constexpr uintmax_t | std::__big_div_impl< __n1, __n0, __d >::__rem | 
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| static constexpr uintmax_t | std::__big_div< __n1, __n0, __d >::__rem | 
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| static constexpr intmax_t | std::ratio< _Num, _Den >::den | 
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| static constexpr intmax_t | std::__ratio_multiply< _R1, _R2 >::den | 
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| static constexpr intmax_t | std::__ratio_divide< _R1, _R2 >::den | 
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| static constexpr intmax_t | std::ratio< _Num, _Den >::num | 
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| static constexpr intmax_t | std::__ratio_multiply< _R1, _R2 >::num | 
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| static constexpr intmax_t | std::__ratio_divide< _R1, _R2 >::num | 
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| static const intmax_t | std::__safe_multiply< _Pn, _Qn >::value | 
|  | 
Compile time representation of finite rational numbers.