зеркало из https://github.com/microsoft/STL.git
305 строки
12 KiB
C++
305 строки
12 KiB
C++
// ratio standard header (core)
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// Copyright (c) Microsoft Corporation.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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#pragma once
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#ifndef _RATIO_
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#define _RATIO_
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#include <yvals_core.h>
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#if _STL_COMPILER_PREPROCESSOR
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#include <cstdint>
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#include <type_traits>
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#pragma pack(push, _CRT_PACKING)
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#pragma warning(push, _STL_WARNING_LEVEL)
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#pragma warning(disable : _STL_DISABLED_WARNINGS)
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_STL_DISABLE_CLANG_WARNINGS
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#pragma push_macro("new")
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#undef new
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_STD_BEGIN
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// STRUCT TEMPLATE _Abs
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template <intmax_t _Val>
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struct _Abs : integral_constant<intmax_t, (_Val < 0 ? -_Val : _Val)> {}; // computes absolute value of _Val
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// STRUCT TEMPLATE _Safe_mult
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template <intmax_t _Ax, intmax_t _Bx, bool _Sfinae = false,
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bool _Good = (_Abs<_Ax>::value <= INTMAX_MAX / (_Bx == 0 ? 1 : _Abs<_Bx>::value))>
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struct _Safe_mult : integral_constant<intmax_t, _Ax * _Bx> {}; // computes _Ax * _Bx without overflow
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template <intmax_t _Ax, intmax_t _Bx, bool _Sfinae>
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struct _Safe_mult<_Ax, _Bx, _Sfinae, false> { // _Ax * _Bx would overflow
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static_assert(_Sfinae, "integer arithmetic overflow");
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};
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// STRUCT TEMPLATE _Sign_of
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template <intmax_t _Val>
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struct _Sign_of : integral_constant<intmax_t, (_Val < 0 ? -1 : 1)> {}; // computes sign of _Val
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// STRUCT TEMPLATE _Safe_add
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template <intmax_t _Ax, intmax_t _Bx, bool _Good, bool _Also_good>
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struct _Safe_addX : integral_constant<intmax_t, _Ax + _Bx> {}; // computes _Ax + _Bx without overflow
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template <intmax_t _Ax, intmax_t _Bx>
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struct _Safe_addX<_Ax, _Bx, false, false> { // _Ax + _Bx would overflow
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static_assert(_Always_false<_Safe_addX>, "integer arithmetic overflow");
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};
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template <intmax_t _Ax, intmax_t _Bx>
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struct _Safe_add : _Safe_addX<_Ax, _Bx, _Sign_of<_Ax>::value != _Sign_of<_Bx>::value,
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(_Abs<_Ax>::value <= INTMAX_MAX - _Abs<_Bx>::value)>::type {
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// computes _Ax + _Bx, forbids overflow
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};
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// STRUCT TEMPLATE _Gcd
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template <intmax_t _Ax, intmax_t _Bx>
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struct _GcdX : _GcdX<_Bx, _Ax % _Bx>::type {}; // computes GCD of _Ax and _Bx
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template <intmax_t _Ax>
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struct _GcdX<_Ax, 0> : integral_constant<intmax_t, _Ax> {}; // computes GCD of _Ax and 0
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template <intmax_t _Ax, intmax_t _Bx>
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struct _Gcd : _GcdX<_Abs<_Ax>::value, _Abs<_Bx>::value>::type {}; // computes GCD of abs(_Ax) and abs(_Bx)
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template <>
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struct _Gcd<0, 0> : integral_constant<intmax_t, 1> {
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// contrary to mathematical convention; avoids division by 0 in ratio_less
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};
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// STRUCT TEMPLATE ratio
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template <intmax_t _Nx, intmax_t _Dx = 1>
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struct ratio { // holds the ratio of _Nx to _Dx
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static_assert(_Dx != 0, "zero denominator");
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static_assert(-INTMAX_MAX <= _Nx, "numerator too negative");
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static_assert(-INTMAX_MAX <= _Dx, "denominator too negative");
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static constexpr intmax_t num =
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_Sign_of<_Nx>::value * _Sign_of<_Dx>::value * _Abs<_Nx>::value / _Gcd<_Nx, _Dx>::value;
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static constexpr intmax_t den = _Abs<_Dx>::value / _Gcd<_Nx, _Dx>::value;
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using type = ratio<num, den>;
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};
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// VARIABLE TEMPLATE _Is_ratio_v
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template <class _Ty>
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_INLINE_VAR constexpr bool _Is_ratio_v = false; // test for ratio type
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template <intmax_t _Rx1, intmax_t _Rx2>
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_INLINE_VAR constexpr bool _Is_ratio_v<ratio<_Rx1, _Rx2>> = true;
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// ALIAS TEMPLATE ratio_add
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template <class _Rx1, class _Rx2>
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struct _Ratio_add { // add two ratios
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_add<R1, R2> requires R1 and R2 to be ratio<>s.");
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static constexpr intmax_t _Nx1 = _Rx1::num;
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static constexpr intmax_t _Dx1 = _Rx1::den;
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static constexpr intmax_t _Nx2 = _Rx2::num;
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static constexpr intmax_t _Dx2 = _Rx2::den;
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static constexpr intmax_t _Gx = _Gcd<_Dx1, _Dx2>::value;
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// typename ratio<>::type is necessary here
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using type =
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typename ratio<_Safe_add<_Safe_mult<_Nx1, _Dx2 / _Gx>::value, _Safe_mult<_Nx2, _Dx1 / _Gx>::value>::value,
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_Safe_mult<_Dx1, _Dx2 / _Gx>::value>::type;
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};
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template <class _Rx1, class _Rx2>
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using ratio_add = typename _Ratio_add<_Rx1, _Rx2>::type;
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// ALIAS TEMPLATE ratio_subtract
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template <class _Rx1, class _Rx2>
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struct _Ratio_subtract { // subtract two ratios
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_subtract<R1, R2> requires R1 and R2 to be ratio<>s.");
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static constexpr intmax_t _Nx2 = _Rx2::num;
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static constexpr intmax_t _Dx2 = _Rx2::den;
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using type = ratio_add<_Rx1, ratio<-_Nx2, _Dx2>>;
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};
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template <class _Rx1, class _Rx2>
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using ratio_subtract = typename _Ratio_subtract<_Rx1, _Rx2>::type;
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// ALIAS TEMPLATE ratio_multiply
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template <class _Rx1, class _Rx2>
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struct _Ratio_multiply { // multiply two ratios
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_multiply<R1, R2> requires R1 and R2 to be ratio<>s.");
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static constexpr intmax_t _Nx1 = _Rx1::num;
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static constexpr intmax_t _Dx1 = _Rx1::den;
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static constexpr intmax_t _Nx2 = _Rx2::num;
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static constexpr intmax_t _Dx2 = _Rx2::den;
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static constexpr intmax_t _Gx = _Gcd<_Nx1, _Dx2>::value;
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static constexpr intmax_t _Gy = _Gcd<_Nx2, _Dx1>::value;
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using _Num = _Safe_mult<_Nx1 / _Gx, _Nx2 / _Gy, true>;
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using _Den = _Safe_mult<_Dx1 / _Gy, _Dx2 / _Gx, true>;
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};
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template <class _Rx1, class _Rx2, bool _Sfinae = true, class = void>
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struct _Ratio_multiply_sfinae { // detect overflow during multiplication
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static_assert(_Sfinae, "integer arithmetic overflow");
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};
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template <class _Rx1, class _Rx2, bool _Sfinae>
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struct _Ratio_multiply_sfinae<_Rx1, _Rx2, _Sfinae,
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void_t<typename _Ratio_multiply<_Rx1, _Rx2>::_Num::type,
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typename _Ratio_multiply<_Rx1, _Rx2>::_Den::type>> { // typename ratio<>::type is unnecessary here
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using type = ratio<_Ratio_multiply<_Rx1, _Rx2>::_Num::value, _Ratio_multiply<_Rx1, _Rx2>::_Den::value>;
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};
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template <class _Rx1, class _Rx2>
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using ratio_multiply = typename _Ratio_multiply_sfinae<_Rx1, _Rx2, false>::type;
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// ALIAS TEMPLATE ratio_divide
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template <class _Rx1, class _Rx2>
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struct _Ratio_divide { // divide two ratios
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_divide<R1, R2> requires R1 and R2 to be ratio<>s.");
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static constexpr intmax_t _Nx2 = _Rx2::num;
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static constexpr intmax_t _Dx2 = _Rx2::den;
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using _Rx2_inverse = ratio<_Dx2, _Nx2>;
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};
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template <class _Rx1, class _Rx2, bool _Sfinae = true>
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using _Ratio_divide_sfinae =
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typename _Ratio_multiply_sfinae<_Rx1, typename _Ratio_divide<_Rx1, _Rx2>::_Rx2_inverse, _Sfinae>::type;
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template <class _Rx1, class _Rx2>
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using ratio_divide = _Ratio_divide_sfinae<_Rx1, _Rx2, false>;
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// STRUCT TEMPLATE ratio_equal
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template <class _Rx1, class _Rx2>
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struct ratio_equal : bool_constant<_Rx1::num == _Rx2::num && _Rx1::den == _Rx2::den> { // tests if ratio == ratio
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_equal<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_equal_v = ratio_equal<_Rx1, _Rx2>::value;
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// STRUCT TEMPLATE ratio_not_equal
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template <class _Rx1, class _Rx2>
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struct ratio_not_equal : bool_constant<!ratio_equal_v<_Rx1, _Rx2>> { // tests if ratio != ratio
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_not_equal<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_not_equal_v = ratio_not_equal<_Rx1, _Rx2>::value;
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// STRUCT TEMPLATE ratio_less
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struct _Big_uint128 {
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uint64_t _Upper;
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uint64_t _Lower;
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constexpr bool operator<(const _Big_uint128 _Rhs) const noexcept {
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if (_Upper != _Rhs._Upper) {
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return _Upper < _Rhs._Upper;
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}
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return _Lower < _Rhs._Lower;
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}
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};
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constexpr _Big_uint128 _Big_multiply(const uint64_t _Lfactor,
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const uint64_t _Rfactor) noexcept { // multiply two 64-bit integers into a 128-bit integer, Knuth's algorithm M
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const uint64_t _Llow = _Lfactor & 0xFFFF'FFFFULL;
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const uint64_t _Lhigh = _Lfactor >> 32;
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const uint64_t _Rlow = _Rfactor & 0xFFFF'FFFFULL;
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const uint64_t _Rhigh = _Rfactor >> 32;
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uint64_t _Temp = _Llow * _Rlow;
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const uint64_t _Lower32 = _Temp & 0xFFFF'FFFFULL;
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uint64_t _Carry = _Temp >> 32;
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_Temp = _Llow * _Rhigh + _Carry;
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const uint64_t _Mid_lower = _Temp & 0xFFFF'FFFFULL;
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const uint64_t _Mid_upper = _Temp >> 32;
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_Temp = _Lhigh * _Rlow + _Mid_lower;
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_Carry = _Temp >> 32;
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return {_Lhigh * _Rhigh + _Mid_upper + _Carry, (_Temp << 32) + _Lower32};
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}
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constexpr bool _Ratio_less(const int64_t _Nx1, const int64_t _Dx1, const int64_t _Nx2, const int64_t _Dx2) noexcept {
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if (_Nx1 >= 0 && _Nx2 >= 0) {
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return _Big_multiply(static_cast<uint64_t>(_Nx1), static_cast<uint64_t>(_Dx2))
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< _Big_multiply(static_cast<uint64_t>(_Nx2), static_cast<uint64_t>(_Dx1));
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}
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if (_Nx1 < 0 && _Nx2 < 0) {
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return _Big_multiply(static_cast<uint64_t>(-_Nx2), static_cast<uint64_t>(_Dx1))
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< _Big_multiply(static_cast<uint64_t>(-_Nx1), static_cast<uint64_t>(_Dx2));
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}
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return _Nx1 < _Nx2;
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}
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template <class _Rx1, class _Rx2>
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struct ratio_less : bool_constant<_Ratio_less(_Rx1::num, _Rx1::den, _Rx2::num, _Rx2::den)> { // tests if ratio < ratio
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_less<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_less_v = ratio_less<_Rx1, _Rx2>::value;
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// STRUCT TEMPLATE ratio_less_equal
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template <class _Rx1, class _Rx2>
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struct ratio_less_equal : bool_constant<!ratio_less_v<_Rx2, _Rx1>> { // tests if ratio <= ratio
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static_assert(
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_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_less_equal<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_less_equal_v = ratio_less_equal<_Rx1, _Rx2>::value;
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// STRUCT TEMPLATE ratio_greater
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template <class _Rx1, class _Rx2>
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struct ratio_greater : ratio_less<_Rx2, _Rx1>::type { // tests if ratio > ratio
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static_assert(_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_greater<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_greater_v = ratio_greater<_Rx1, _Rx2>::value;
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// STRUCT TEMPLATE ratio_greater_equal
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template <class _Rx1, class _Rx2>
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struct ratio_greater_equal : bool_constant<!ratio_less_v<_Rx1, _Rx2>> { // tests if ratio >= ratio
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static_assert(
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_Is_ratio_v<_Rx1> && _Is_ratio_v<_Rx2>, "ratio_greater_equal<R1, R2> requires R1 and R2 to be ratio<>s.");
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};
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template <class _Rx1, class _Rx2>
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_INLINE_VAR constexpr bool ratio_greater_equal_v = ratio_greater_equal<_Rx1, _Rx2>::value;
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// SI TYPEDEFS
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using atto = ratio<1, 1000000000000000000LL>;
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using femto = ratio<1, 1000000000000000LL>;
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using pico = ratio<1, 1000000000000LL>;
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using nano = ratio<1, 1000000000>;
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using micro = ratio<1, 1000000>;
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using milli = ratio<1, 1000>;
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using centi = ratio<1, 100>;
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using deci = ratio<1, 10>;
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using deca = ratio<10, 1>;
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using hecto = ratio<100, 1>;
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using kilo = ratio<1000, 1>;
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using mega = ratio<1000000, 1>;
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using giga = ratio<1000000000, 1>;
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using tera = ratio<1000000000000LL, 1>;
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using peta = ratio<1000000000000000LL, 1>;
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using exa = ratio<1000000000000000000LL, 1>;
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_STD_END
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#pragma pop_macro("new")
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_STL_RESTORE_CLANG_WARNINGS
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#pragma warning(pop)
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#pragma pack(pop)
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#endif // _STL_COMPILER_PREPROCESSOR
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#endif // _RATIO_
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