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Diffstat (limited to 'third_party/libcxx/include/c++/v1/ratio')
| -rw-r--r-- | third_party/libcxx/include/c++/v1/ratio | 499 |
1 files changed, 499 insertions, 0 deletions
diff --git a/third_party/libcxx/include/c++/v1/ratio b/third_party/libcxx/include/c++/v1/ratio new file mode 100644 index 0000000..bf54cd0 --- /dev/null +++ b/third_party/libcxx/include/c++/v1/ratio @@ -0,0 +1,499 @@ +// -*- C++ -*- +//===----------------------------------------------------------------------===// +// +// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. +// See https://llvm.org/LICENSE.txt for license information. +// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception +// +//===----------------------------------------------------------------------===// + +#ifndef _LIBCPP_RATIO +#define _LIBCPP_RATIO + +/* + ratio synopsis + +namespace std +{ + +template <intmax_t N, intmax_t D = 1> +class ratio +{ +public: + static constexpr intmax_t num; + static constexpr intmax_t den; + typedef ratio<num, den> type; +}; + +// ratio arithmetic +template <class R1, class R2> using ratio_add = ...; +template <class R1, class R2> using ratio_subtract = ...; +template <class R1, class R2> using ratio_multiply = ...; +template <class R1, class R2> using 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 +using quecto = ratio <1, 1'000'000'000'000'000'000'000'000'000'000>; // Since C++26; not supported +using ronto = ratio <1, 1'000'000'000'000'000'000'000'000'000>; // Since C++26; not supported +typedef ratio<1, 1000000000000000000000000> yocto; // not supported +typedef ratio<1, 1000000000000000000000> zepto; // not supported +typedef ratio<1, 1000000000000000000> atto; +typedef ratio<1, 1000000000000000> femto; +typedef ratio<1, 1000000000000> pico; +typedef ratio<1, 1000000000> nano; +typedef ratio<1, 1000000> micro; +typedef ratio<1, 1000> milli; +typedef ratio<1, 100> centi; +typedef ratio<1, 10> deci; +typedef ratio< 10, 1> deca; +typedef ratio< 100, 1> hecto; +typedef ratio< 1000, 1> kilo; +typedef ratio< 1000000, 1> mega; +typedef ratio< 1000000000, 1> giga; +typedef ratio< 1000000000000, 1> tera; +typedef ratio< 1000000000000000, 1> peta; +typedef ratio< 1000000000000000000, 1> exa; +typedef ratio< 1000000000000000000000, 1> zetta; // not supported +typedef ratio<1000000000000000000000000, 1> yotta; // not supported +using ronna = ratio <1'000'000'000'000'000'000'000'000'000, 1>; // Since C++26; not supported +using quetta = ratio <1'000'000'000'000'000'000'000'000'000'000, 1>; // Since C++26; not supported + + // 20.11.5, ratio comparison + template <class R1, class R2> inline constexpr bool ratio_equal_v + = ratio_equal<R1, R2>::value; // C++17 + template <class R1, class R2> inline constexpr bool ratio_not_equal_v + = ratio_not_equal<R1, R2>::value; // C++17 + template <class R1, class R2> inline constexpr bool ratio_less_v + = ratio_less<R1, R2>::value; // C++17 + template <class R1, class R2> inline constexpr bool ratio_less_equal_v + = ratio_less_equal<R1, R2>::value; // C++17 + template <class R1, class R2> inline constexpr bool ratio_greater_v + = ratio_greater<R1, R2>::value; // C++17 + template <class R1, class R2> inline constexpr bool ratio_greater_equal_v + = ratio_greater_equal<R1, R2>::value; // C++17 +} +*/ + +#if __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS) +# include <__cxx03/ratio> +#else +# include <__config> +# include <__type_traits/integral_constant.h> +# include <climits> +# include <cstdint> +# include <version> + +# if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) +# pragma GCC system_header +# endif + +_LIBCPP_PUSH_MACROS +# include <__undef_macros> + +_LIBCPP_BEGIN_NAMESPACE_STD + +// __static_gcd + +template <intmax_t _Xp, intmax_t _Yp> +inline const intmax_t __static_gcd = __static_gcd<_Yp, _Xp % _Yp>; + +template <intmax_t _Xp> +inline const intmax_t __static_gcd<_Xp, 0> = _Xp; + +template <> +inline const intmax_t __static_gcd<0, 0> = 1; + +// __static_lcm + +template <intmax_t _Xp, intmax_t _Yp> +inline const intmax_t __static_lcm = _Xp / __static_gcd<_Xp, _Yp> * _Yp; + +template <intmax_t _Xp> +inline const intmax_t __static_abs = _Xp < 0 ? -_Xp : _Xp; + +template <intmax_t _Xp> +inline const intmax_t __static_sign = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1); + +template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp> > +class __ll_add; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_add<_Xp, _Yp, 1> { + static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; + static const intmax_t max = -min; + + static_assert(_Xp <= max - _Yp, "overflow in __ll_add"); + +public: + static const intmax_t value = _Xp + _Yp; +}; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_add<_Xp, _Yp, 0> { +public: + static const intmax_t value = _Xp; +}; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_add<_Xp, _Yp, -1> { + static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; + static const intmax_t max = -min; + + static_assert(min - _Yp <= _Xp, "overflow in __ll_add"); + +public: + static const intmax_t value = _Xp + _Yp; +}; + +template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp> > +class __ll_sub; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_sub<_Xp, _Yp, 1> { + static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; + static const intmax_t max = -min; + + static_assert(min + _Yp <= _Xp, "overflow in __ll_sub"); + +public: + static const intmax_t value = _Xp - _Yp; +}; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_sub<_Xp, _Yp, 0> { +public: + static const intmax_t value = _Xp; +}; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_sub<_Xp, _Yp, -1> { + static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; + static const intmax_t max = -min; + + static_assert(_Xp <= max + _Yp, "overflow in __ll_sub"); + +public: + static const intmax_t value = _Xp - _Yp; +}; + +template <intmax_t _Xp, intmax_t _Yp> +class __ll_mul { + static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); + static const intmax_t min = nan + 1; + static const intmax_t max = -min; + static const intmax_t __a_x = __static_abs<_Xp>; + static const intmax_t __a_y = __static_abs<_Yp>; + + static_assert(_Xp != nan && _Yp != nan && __a_x <= max / __a_y, "overflow in __ll_mul"); + +public: + static const intmax_t value = _Xp * _Yp; +}; + +template <intmax_t _Yp> +class __ll_mul<0, _Yp> { +public: + static const intmax_t value = 0; +}; + +template <intmax_t _Xp> +class __ll_mul<_Xp, 0> { +public: + static const intmax_t value = 0; +}; + +template <> +class __ll_mul<0, 0> { +public: + static const intmax_t value = 0; +}; + +// Not actually used but left here in case needed in future maintenance +template <intmax_t _Xp, intmax_t _Yp> +class __ll_div { + static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); + static const intmax_t min = nan + 1; + static const intmax_t max = -min; + + static_assert(_Xp != nan && _Yp != nan && _Yp != 0, "overflow in __ll_div"); + +public: + static const intmax_t value = _Xp / _Yp; +}; + +template <intmax_t _Num, intmax_t _Den = 1> +class ratio { + static_assert(__static_abs<_Num> >= 0, "ratio numerator is out of range"); + static_assert(_Den != 0, "ratio divide by 0"); + static_assert(__static_abs<_Den> > 0, "ratio denominator is out of range"); + static _LIBCPP_CONSTEXPR const intmax_t __na = __static_abs<_Num>; + static _LIBCPP_CONSTEXPR const intmax_t __da = __static_abs<_Den>; + static _LIBCPP_CONSTEXPR const intmax_t __s = __static_sign<_Num> * __static_sign<_Den>; + static _LIBCPP_CONSTEXPR const intmax_t __gcd = __static_gcd<__na, __da>; + +public: + static inline _LIBCPP_CONSTEXPR const intmax_t num = __s * __na / __gcd; + static inline _LIBCPP_CONSTEXPR const intmax_t den = __da / __gcd; + + typedef ratio<num, den> type; +}; + +template <class _Tp> +inline const bool __is_ratio_v = false; + +template <intmax_t _Num, intmax_t _Den> +inline const bool __is_ratio_v<ratio<_Num, _Den> > = true; + +typedef ratio<1LL, 1000000000000000000LL> atto; +typedef ratio<1LL, 1000000000000000LL> femto; +typedef ratio<1LL, 1000000000000LL> pico; +typedef ratio<1LL, 1000000000LL> nano; +typedef ratio<1LL, 1000000LL> micro; +typedef ratio<1LL, 1000LL> milli; +typedef ratio<1LL, 100LL> centi; +typedef ratio<1LL, 10LL> deci; +typedef ratio< 10LL, 1LL> deca; +typedef ratio< 100LL, 1LL> hecto; +typedef ratio< 1000LL, 1LL> kilo; +typedef ratio< 1000000LL, 1LL> mega; +typedef ratio< 1000000000LL, 1LL> giga; +typedef ratio< 1000000000000LL, 1LL> tera; +typedef ratio< 1000000000000000LL, 1LL> peta; +typedef ratio<1000000000000000000LL, 1LL> exa; + +template <class _R1, class _R2> +struct __ratio_multiply { +private: + static const intmax_t __gcd_n1_d2 = __static_gcd<_R1::num, _R2::den>; + static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>; + + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); + +public: + typedef typename ratio< __ll_mul<_R1::num / __gcd_n1_d2, _R2::num / __gcd_d1_n2>::value, + __ll_mul<_R2::den / __gcd_n1_d2, _R1::den / __gcd_d1_n2>::value >::type type; +}; + +# ifndef _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +using ratio_multiply = typename __ratio_multiply<_R1, _R2>::type; + +# else // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct ratio_multiply : public __ratio_multiply<_R1, _R2>::type {}; + +# endif // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct __ratio_divide { +private: + static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>; + + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); + +public: + typedef typename ratio< __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, + __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value >::type type; +}; + +# ifndef _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +using ratio_divide = typename __ratio_divide<_R1, _R2>::type; + +# else // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct ratio_divide : public __ratio_divide<_R1, _R2>::type {}; + +# endif // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct __ratio_add { +private: + static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>; + + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); + +public: + typedef typename ratio_multiply< + ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, + ratio< __ll_add< __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, + __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value >::value, + _R2::den > >::type type; +}; + +# ifndef _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +using ratio_add = typename __ratio_add<_R1, _R2>::type; + +# else // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct ratio_add : public __ratio_add<_R1, _R2>::type {}; + +# endif // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct __ratio_subtract { +private: + static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>; + + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); + +public: + typedef typename ratio_multiply< + ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, + ratio< __ll_sub< __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, + __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value >::value, + _R2::den > >::type type; +}; + +# ifndef _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +using ratio_subtract = typename __ratio_subtract<_R1, _R2>::type; + +# else // _LIBCPP_CXX03_LANG + +template <class _R1, class _R2> +struct ratio_subtract : public __ratio_subtract<_R1, _R2>::type {}; + +# endif // _LIBCPP_CXX03_LANG + +// ratio_equal + +template <class _R1, class _R2> +struct ratio_equal : _BoolConstant<(_R1::num == _R2::num && _R1::den == _R2::den)> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +template <class _R1, class _R2> +struct ratio_not_equal : _BoolConstant<!ratio_equal<_R1, _R2>::value> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +// ratio_less + +template <class _R1, + class _R2, + bool _Odd = false, + intmax_t _Q1 = _R1::num / _R1::den, + intmax_t _M1 = _R1::num % _R1::den, + intmax_t _Q2 = _R2::num / _R2::den, + intmax_t _M2 = _R2::num % _R2::den> +struct __ratio_less1 { + static const bool value = _Odd ? _Q2 < _Q1 : _Q1 < _Q2; +}; + +template <class _R1, class _R2, bool _Odd, intmax_t _Qp> +struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, 0> { + static const bool value = false; +}; + +template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M2> +struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, _M2> { + static const bool value = !_Odd; +}; + +template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1> +struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, 0> { + static const bool value = _Odd; +}; + +template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1, intmax_t _M2> +struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, _M2> { + static const bool value = __ratio_less1<ratio<_R1::den, _M1>, ratio<_R2::den, _M2>, !_Odd>::value; +}; + +template <class _R1, class _R2, intmax_t _S1 = __static_sign<_R1::num>, intmax_t _S2 = __static_sign<_R2::num> > +struct __ratio_less { + static const bool value = _S1 < _S2; +}; + +template <class _R1, class _R2> +struct __ratio_less<_R1, _R2, 1LL, 1LL> { + static const bool value = __ratio_less1<_R1, _R2>::value; +}; + +template <class _R1, class _R2> +struct __ratio_less<_R1, _R2, -1LL, -1LL> { + static const bool value = __ratio_less1<ratio<-_R2::num, _R2::den>, ratio<-_R1::num, _R1::den> >::value; +}; + +template <class _R1, class _R2> +struct ratio_less : _BoolConstant<__ratio_less<_R1, _R2>::value> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +template <class _R1, class _R2> +struct ratio_less_equal : _BoolConstant<!ratio_less<_R2, _R1>::value> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +template <class _R1, class _R2> +struct ratio_greater : _BoolConstant<ratio_less<_R2, _R1>::value> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +template <class _R1, class _R2> +struct ratio_greater_equal : _BoolConstant<!ratio_less<_R1, _R2>::value> { + static_assert(__is_ratio_v<_R1>, "[ratio.general]/2 requires R1 to be a specialisation of the ratio template"); + static_assert(__is_ratio_v<_R2>, "[ratio.general]/2 requires R2 to be a specialisation of the ratio template"); +}; + +template <class _R1, class _R2> +using __ratio_gcd _LIBCPP_NODEBUG = ratio<__static_gcd<_R1::num, _R2::num>, __static_lcm<_R1::den, _R2::den> >; + +# if _LIBCPP_STD_VER >= 17 +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; +# endif + +_LIBCPP_END_NAMESPACE_STD + +_LIBCPP_POP_MACROS + +# if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20 +# include <type_traits> +# endif +#endif // __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS) + +#endif // _LIBCPP_RATIO |