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mp-units/src/include/units/bits/tools.h
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// The MIT License (MIT)
//
// Copyright (c) 2018 Mateusz Pusz
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#pragma once
#include "stdconcepts.h"
#include <ratio>
#include <type_traits>
namespace std {
template<typename T>
struct type_identity { using type = T; };
template<typename T>
using type_identity_t = typename type_identity<T>::type;
}
namespace units {
using namespace mp::std_concepts; // todo Remove when std::concepts will arrive
template<typename T>
concept bool Number = requires(T a, T b) {
{ a + b } -> T;
{ a - b } -> T;
{ a * b } -> T;
{ a / b } -> T;
{ -a } -> T;
{ a += b } -> T&;
{ a -= b } -> T&;
{ a *= b } -> T&;
{ a /= b } -> T&;
{ T{0} };// can construct a T from a zero
// …
} ;
// static_sign
template<std::intmax_t Pn>
struct static_sign : std::integral_constant<std::intmax_t, (Pn < 0) ? -1 : 1> {
};
// static_abs
template<std::intmax_t Pn>
struct static_abs : std::integral_constant<std::intmax_t, Pn * static_sign<Pn>::value> {
};
// static_gcd
template<std::intmax_t Pn, std::intmax_t Qn>
struct static_gcd : static_gcd<Qn, (Pn % Qn)> {
};
template<std::intmax_t Pn>
struct static_gcd<Pn, 0> : std::integral_constant<std::intmax_t, static_abs<Pn>::value> {
};
template<std::intmax_t Qn>
struct static_gcd<0, Qn> : std::integral_constant<std::intmax_t, static_abs<Qn>::value> {
};
// is_ratio
namespace detail {
template<typename T>
inline constexpr bool is_ratio = false;
template<intmax_t Num, intmax_t Den>
inline constexpr bool is_ratio<std::ratio<Num, Den>> = true;
} // namespace detail
template<typename T>
concept bool Ratio = detail::is_ratio<T>;
// common_ratio
// todo: simplified
template<Ratio Ratio1, Ratio Ratio2>
struct common_ratio {
using gcd_num = static_gcd<Ratio1::num, Ratio2::num>;
using gcd_den = static_gcd<Ratio1::den, Ratio2::den>;
using type = std::ratio<gcd_num::value, (Ratio1::den / gcd_den::value) * Ratio2::den>;
};
template<Ratio Ratio1, Ratio Ratio2>
using common_ratio_t = typename common_ratio<Ratio1, Ratio2>::type;
} // namespace units