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Diffstat (limited to 'data/iphoneos-sdk/v1/ratio')
| -rwxr-xr-x | data/iphoneos-sdk/v1/ratio | 533 |
1 files changed, 533 insertions, 0 deletions
diff --git a/data/iphoneos-sdk/v1/ratio b/data/iphoneos-sdk/v1/ratio new file mode 100755 index 000000000..7ee5ec245 --- /dev/null +++ b/data/iphoneos-sdk/v1/ratio @@ -0,0 +1,533 @@ +// -*- C++ -*- +//===---------------------------- ratio -----------------------------------===// +// +// The LLVM Compiler Infrastructure +// +// This file is dual licensed under the MIT and the University of Illinois Open +// Source Licenses. See LICENSE.TXT for details. +// +//===----------------------------------------------------------------------===// + +#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 +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 + + // 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 +} +*/ + +#include <__config> +#include <cstdint> +#include <climits> +#include <type_traits> + +#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> +struct __static_gcd +{ + static const intmax_t value = __static_gcd<_Yp, _Xp % _Yp>::value; +}; + +template <intmax_t _Xp> +struct __static_gcd<_Xp, 0> +{ + static const intmax_t value = _Xp; +}; + +template <> +struct __static_gcd<0, 0> +{ + static const intmax_t value = 1; +}; + +// __static_lcm + +template <intmax_t _Xp, intmax_t _Yp> +struct __static_lcm +{ + static const intmax_t value = _Xp / __static_gcd<_Xp, _Yp>::value * _Yp; +}; + +template <intmax_t _Xp> +struct __static_abs +{ + static const intmax_t value = _Xp < 0 ? -_Xp : _Xp; +}; + +template <intmax_t _Xp> +struct __static_sign +{ + static const intmax_t value = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1); +}; + +template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value> +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>::value> +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>::value; + static const intmax_t __a_y = __static_abs<_Yp>::value; + + 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 _LIBCPP_TEMPLATE_VIS ratio +{ + static_assert(__static_abs<_Num>::value >= 0, "ratio numerator is out of range"); + static_assert(_Den != 0, "ratio divide by 0"); + static_assert(__static_abs<_Den>::value > 0, "ratio denominator is out of range"); + static _LIBCPP_CONSTEXPR const intmax_t __na = __static_abs<_Num>::value; + static _LIBCPP_CONSTEXPR const intmax_t __da = __static_abs<_Den>::value; + static _LIBCPP_CONSTEXPR const intmax_t __s = __static_sign<_Num>::value * __static_sign<_Den>::value; + static _LIBCPP_CONSTEXPR const intmax_t __gcd = __static_gcd<__na, __da>::value; +public: + static _LIBCPP_CONSTEXPR const intmax_t num = __s * __na / __gcd; + static _LIBCPP_CONSTEXPR const intmax_t den = __da / __gcd; + + typedef ratio<num, den> type; +}; + +template <intmax_t _Num, intmax_t _Den> +_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::num; + +template <intmax_t _Num, intmax_t _Den> +_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::den; + +template <class _Tp> struct __is_ratio : false_type {}; +template <intmax_t _Num, intmax_t _Den> struct __is_ratio<ratio<_Num, _Den> > : true_type {}; + +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>::value; + static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>::value; +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 _LIBCPP_TEMPLATE_VIS 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>::value; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; +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 _LIBCPP_TEMPLATE_VIS 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>::value; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; +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 _LIBCPP_TEMPLATE_VIS 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>::value; + static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; +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 _LIBCPP_TEMPLATE_VIS ratio_subtract + : public __ratio_subtract<_R1, _R2>::type {}; + +#endif // _LIBCPP_CXX03_LANG + +// ratio_equal + +template <class _R1, class _R2> +struct _LIBCPP_TEMPLATE_VIS ratio_equal + : public _LIBCPP_BOOL_CONSTANT((_R1::num == _R2::num && _R1::den == _R2::den)) {}; + +template <class _R1, class _R2> +struct _LIBCPP_TEMPLATE_VIS ratio_not_equal + : public _LIBCPP_BOOL_CONSTANT((!ratio_equal<_R1, _R2>::value)) {}; + +// 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>::value, + intmax_t _S2 = __static_sign<_R2::num>::value> +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 _LIBCPP_TEMPLATE_VIS ratio_less + : public _LIBCPP_BOOL_CONSTANT((__ratio_less<_R1, _R2>::value)) {}; + +template <class _R1, class _R2> +struct _LIBCPP_TEMPLATE_VIS ratio_less_equal + : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R2, _R1>::value)) {}; + +template <class _R1, class _R2> +struct _LIBCPP_TEMPLATE_VIS ratio_greater + : public _LIBCPP_BOOL_CONSTANT((ratio_less<_R2, _R1>::value)) {}; + +template <class _R1, class _R2> +struct _LIBCPP_TEMPLATE_VIS ratio_greater_equal + : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R1, _R2>::value)) {}; + +template <class _R1, class _R2> +struct __ratio_gcd +{ + typedef ratio<__static_gcd<_R1::num, _R2::num>::value, + __static_lcm<_R1::den, _R2::den>::value> type; +}; + +#if _LIBCPP_STD_VER > 14 && !defined(_LIBCPP_HAS_NO_VARIABLE_TEMPLATES) +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_equal_v + = ratio_equal<_R1, _R2>::value; + +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_not_equal_v + = ratio_not_equal<_R1, _R2>::value; + +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_less_v + = ratio_less<_R1, _R2>::value; + +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_less_equal_v + = ratio_less_equal<_R1, _R2>::value; + +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_greater_v + = ratio_greater<_R1, _R2>::value; + +template <class _R1, class _R2> +_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_greater_equal_v + = ratio_greater_equal<_R1, _R2>::value; +#endif + +_LIBCPP_END_NAMESPACE_STD + +_LIBCPP_POP_MACROS + +#endif // _LIBCPP_RATIO |