forked from mpusz/mp-units
298 lines
8.6 KiB
C++
298 lines
8.6 KiB
C++
// The MIT License (MIT)
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//
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// Copyright (c) 2018 Mateusz Pusz
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in all
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// copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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// SOFTWARE.
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#pragma once
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#include <units/bits/type_list.h>
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#include <units/bits/downcasting.h>
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#include <units/bits/fixed_string.h>
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#include <units/ratio.h>
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#include <ratio>
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namespace units {
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template<basic_fixed_string Name, basic_fixed_string Symbol>
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struct base_dimension {
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static constexpr auto name = Name;
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static constexpr auto symbol = Symbol;
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};
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template<typename T>
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concept BaseDimension = std::is_empty_v<T> &&
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requires {
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T::name;
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T::symbol;
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};// && // TODO file a bug for this gcc issue
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// std::derived_from<T, base_dimension<T::name, T::symbol>>;
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// base_dimension_less
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template<BaseDimension D1, BaseDimension D2>
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struct base_dimension_less : std::bool_constant<D1::name < D2::name> {
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};
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// is_exp
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namespace detail {
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template<typename T>
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inline constexpr bool is_exp = false;
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// partial specialization for an exp type provided below
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} // namespace detail
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template<typename T>
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concept Exponent = detail::is_exp<T>;
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template<Exponent... Es>
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struct dimension;
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// is_dimension
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namespace detail {
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template<typename T>
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inline constexpr bool is_dimension = false;
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template<typename... Es>
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inline constexpr bool is_dimension<dimension<Es...>> = true;
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} // namespace detail
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template<typename T>
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concept Dimension =
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std::is_empty_v<T> &&
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detail::is_dimension<downcast_base_t<T>>;
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// exp
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template<typename BaseOrDim, int Num, int Den = 1>
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requires BaseDimension<BaseOrDim> || Dimension<BaseOrDim>
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struct exp {
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using dimension = BaseOrDim;
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static constexpr int num = Num;
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static constexpr int den = Den;
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};
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// is_exp
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namespace detail {
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template<typename Dim, int Num, int Den>
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inline constexpr bool is_exp<exp<Dim, Num, Den>> = true;
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} // namespace detail
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// exp_less
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template<Exponent E1, Exponent E2>
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struct exp_less : base_dimension_less<typename E1::dimension, typename E2::dimension> {
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};
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// exp_invert
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namespace detail {
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template<Exponent E>
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struct exp_invert_impl;
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template<typename Dim, int Num, int Den>
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struct exp_invert_impl<exp<Dim, Num, Den>> {
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using type = exp<Dim, -Num, Den>;
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};
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}
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template<Exponent E>
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using exp_invert = detail::exp_invert_impl<E>::type;
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// exp_multiply
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namespace detail {
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template<Exponent E, int Num, int Den>
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struct exp_multiply_impl {
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using r1 = ratio<E::num, E::den>;
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using r2 = ratio<Num, Den>;
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using r = ratio_multiply<r1, r2>;
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using type = exp<typename E::dimension, r::num, r::den>;
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};
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}
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template<Exponent E, int Num, int Den>
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using exp_multiply = detail::exp_multiply_impl<E, Num, Den>::type;
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// dimension
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template<Exponent... Es>
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struct dimension : downcast_base<dimension<Es...>> {};
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// same_dim
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template<Dimension D1, Dimension D2>
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inline constexpr bool same_dim = std::is_same_v<typename D1::base_type, typename D2::base_type>;
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// dim_invert
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namespace detail {
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template<Dimension E>
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struct dim_invert_impl;
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template<typename... Es>
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struct dim_invert_impl<dimension<Es...>> : std::type_identity<downcast_target<dimension<exp_invert<Es>...>>> {};
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}
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template<Dimension D>
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using dim_invert = detail::dim_invert_impl<downcast_base_t<D>>::type;
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// make_dimension
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namespace detail {
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template<Dimension D>
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struct dim_consolidate;
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template<>
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struct dim_consolidate<dimension<>> {
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using type = dimension<>;
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};
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template<typename E>
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struct dim_consolidate<dimension<E>> {
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using type = dimension<E>;
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};
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template<typename E1, typename... ERest>
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struct dim_consolidate<dimension<E1, ERest...>> {
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using type = type_list_push_front<typename dim_consolidate<dimension<ERest...>>::type, E1>;
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};
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template<BaseDimension D, int Num1, int Den1, int Num2, int Den2, typename... ERest>
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struct dim_consolidate<dimension<exp<D, Num1, Den1>, exp<D, Num2, Den2>, ERest...>> {
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// TODO: provide custom implementation for ratio_add
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using r1 = std::ratio<Num1, Den1>;
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using r2 = std::ratio<Num2, Den2>;
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using r = std::ratio_add<r1, r2>;
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using type = conditional<r::num == 0, typename dim_consolidate<dimension<ERest...>>::type,
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typename dim_consolidate<dimension<exp<D, r::num, r::den>, ERest...>>::type>;
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};
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template<Exponent... Es>
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struct extract;
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template<>
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struct extract<> {
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using type = dimension<>;
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};
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template<BaseDimension Dim, int Num, int Den, Exponent... ERest>
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struct extract<exp<Dim, Num, Den>, ERest...> {
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using type = type_list_push_front<typename extract<ERest...>::type, exp<Dim, Num, Den>>;
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};
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template<Exponent... Es, int Num, int Den, Exponent... ERest>
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struct extract<exp<dimension<Es...>, Num, Den>, ERest...> {
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using type = type_list_push_front<typename extract<ERest...>::type, exp_multiply<Es, Num, Den>...>;
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};
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template<Dimension Dim, int Num, int Den, Exponent... ERest>
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struct extract<exp<Dim, Num, Den>, ERest...> {
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using type = extract<exp<downcast_base_t<Dim>, Num, Den>, ERest...>::type;
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};
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template<Exponent... Es>
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struct make_dimension {
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using type = detail::dim_consolidate<type_list_sort<typename detail::extract<Es...>::type, exp_less>>::type;
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};
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} // namespace detail
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// derived_dimension
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template<typename Child, Exponent... Es>
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struct derived_dimension : downcast_helper<Child, typename detail::make_dimension<Es...>::type> {};
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// merge_dimension
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namespace detail {
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template<Dimension D1, Dimension D2>
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struct merge_dimension_impl {
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using type = detail::dim_consolidate<type_list_merge_sorted<D1, D2, exp_less>>::type;
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};
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}
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template<Dimension D1, Dimension D2>
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using merge_dimension = detail::merge_dimension_impl<D1, D2>::type;
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// dimension_multiply
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namespace detail {
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template<Dimension D1, Dimension D2>
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struct dimension_multiply_impl;
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template<typename... E1, typename... E2>
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struct dimension_multiply_impl<dimension<E1...>, dimension<E2...>> : std::type_identity<downcast_target<merge_dimension<dimension<E1...>, dimension<E2...>>>> {};
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}
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template<Dimension D1, Dimension D2>
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using dimension_multiply = detail::dimension_multiply_impl<typename D1::base_type, typename D2::base_type>::type;
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// dimension_divide
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namespace detail {
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template<Dimension D1, Dimension D2>
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struct dimension_divide_impl;
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template<typename... E1, typename... E2>
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struct dimension_divide_impl<dimension<E1...>, dimension<E2...>>
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: dimension_multiply_impl<dimension<E1...>, dimension<exp_invert<E2>...>> {
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};
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}
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template<Dimension D1, Dimension D2>
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using dimension_divide = detail::dimension_divide_impl<typename D1::base_type, typename D2::base_type>::type;
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// dimension_sqrt
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namespace detail {
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template<Dimension D>
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struct dimension_sqrt_impl;
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template<typename... Es>
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struct dimension_sqrt_impl<dimension<Es...>> : std::type_identity<downcast_target<dimension<exp_multiply<Es, 1, 2>...>>> {};
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}
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template<Dimension D>
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using dimension_sqrt = detail::dimension_sqrt_impl<typename D::base_type>::type;
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// dimension_pow
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namespace detail {
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template<Dimension D, std::size_t N>
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struct dimension_pow_impl;
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template<typename... Es, std::size_t N>
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struct dimension_pow_impl<dimension<Es...>, N> : std::type_identity<downcast_target<dimension<exp_multiply<Es, N, 1>...>>> {};
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}
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template<Dimension D, std::size_t N>
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using dimension_pow = detail::dimension_pow_impl<typename D::base_type, N>::type;
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} // namespace units
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