feat: quantity_point

This commit is contained in:
Johel Ernesto Guerrero Peña
2020-05-30 21:07:11 -04:00
committed by Mateusz Pusz
parent 75274e13ca
commit 75119eef3f
6 changed files with 561 additions and 0 deletions

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@@ -29,6 +29,9 @@ namespace units {
template<Dimension D, UnitOf<D> U, Scalar Rep>
class quantity;
template<Dimension D, UnitOf<D> U, Scalar Rep>
class quantity_point;
namespace detail {
template<typename Q1, typename Q2, typename Rep>
@@ -57,12 +60,20 @@ struct common_quantity_impl<quantity<D1, U1, Rep1>, quantity<D2, U2, Rep2>, Rep>
using type = quantity<D1, downcast_unit<D1, common_ratio<ratio1, ratio2>>, Rep>;
};
template<typename D, typename U, typename Rep>
quantity_point<D, U, Rep> common_quantity_point_impl(quantity<D, U, Rep>);
} // namespace detail
template<Quantity Q1, Quantity Q2, Scalar Rep = std::common_type_t<typename Q1::rep, typename Q2::rep>>
requires equivalent_dim<typename Q1::dimension, typename Q2::dimension>
using common_quantity = detail::common_quantity_impl<Q1, Q2, Rep>::type;
template<QuantityPoint QP1, QuantityPoint QP2>
requires requires { typename common_quantity<typename QP1::quantity_type, typename QP2::quantity_type>; }
using common_quantity_point = decltype(
detail::common_quantity_point_impl(common_quantity<typename QP1::quantity_type, typename QP2::quantity_type>{}));
} // namespace units
#if COMP_GCC >= 10
@@ -81,4 +92,10 @@ struct common_type<Q1, Q2> {
using type = units::common_quantity<Q1, Q2>;
};
template<units::QuantityPoint QP1, units::QuantityPoint QP2>
requires requires { typename units::common_quantity_point<QP1, QP2>; }
struct common_type<QP1, QP2> {
using type = units::common_quantity_point<QP1, QP2>;
};
}

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@@ -221,6 +221,9 @@ namespace detail {
template<typename T>
inline constexpr bool is_quantity = false;
template<typename T>
inline constexpr bool is_quantity_point = false;
} // namespace detail
/**
@@ -231,6 +234,14 @@ inline constexpr bool is_quantity = false;
template<typename T>
concept Quantity = detail::is_quantity<T>;
/**
* @brief A concept matching all quantity points in the library.
*
* Satisfied by all instantiations of :class:`quantity_point`.
*/
template<typename T>
concept QuantityPoint = detail::is_quantity_point<T>;
// WrappedQuantity
namespace detail {

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@@ -25,6 +25,7 @@
#include <units/concepts.h>
#include <units/customization_points.h>
#include <units/bits/dimension_op.h>
#include <units/bits/external/type_traits.h>
#include <cassert>
namespace units {
@@ -392,4 +393,31 @@ template<Scalar ToRep, typename D, typename U, typename Rep>
return quantity_cast<quantity<D, U, ToRep>>(q);
}
/**
* @brief Explcit cast of a quantity point
*
* Implicit conversions between quantity points of different types are allowed only for "safe"
* (i.e. non-truncating) conversion. In other cases an explicit cast has to be used.
*
* This cast gets the target quantity point type to cast to or anything that works for quantity_cast. For example:
*
* auto q1 = units::quantity_point_cast<decltype(quantity_point{0q_s})>(quantity_point{1q_ms});
* auto q1 = units::quantity_point_cast<units::physical::si::time<units::physical::si::second>>(quantity_point{1q_ms});
* auto q1 = units::quantity_point_cast<units::physical::si::acceleration>(quantity_point{200q_Gal});
* auto q1 = units::quantity_point_cast<units::physical::si::second>(quantity_point{1q_ms});
* auto q1 = units::quantity_point_cast<int>(quantity_point{1q_ms});
*
* @tparam CastSpec a target quantity point type to cast to or anything that works for quantity_cast
*/
template<typename CastSpec, typename D, typename U, typename Rep>
requires is_instantiation<CastSpec, quantity_point> ||
requires(quantity<D, U, Rep> q) { quantity_cast<CastSpec>(q); }
[[nodiscard]] constexpr auto quantity_point_cast(const quantity_point<D, U, Rep>& qp)
{
if constexpr (is_instantiation<CastSpec, quantity_point>)
return quantity_point(quantity_cast<typename CastSpec::quantity_type>(qp.relative()));
else
return quantity_point(quantity_cast<CastSpec>(qp.relative()));
}
} // namespace units

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@@ -0,0 +1,250 @@
// 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 <units/quantity.h>
namespace units {
/**
* @brief A quantity point
*
* Property of a phenomenon, body, or substance, where the property has a magnitude that can be
* expressed by means of a number and a measurement unit.
*
* @tparam D a dimension of the quantity point (can be either a BaseDimension or a DerivedDimension)
* @tparam U a measurement unit of the quantity point
* @tparam Rep a type to be used to represent values of a quantity point
*/
template<Dimension D, UnitOf<D> U, Scalar Rep = double>
class quantity_point {
public:
using quantity_type = quantity<D, U, Rep>;
using dimension = typename quantity_type::dimension;
using unit = typename quantity_type::unit;
using rep = typename quantity_type::rep;
private:
quantity_type q_{};
public:
quantity_point() = default;
quantity_point(const quantity_point&) = default;
quantity_point(quantity_point&&) = default;
template<Quantity Q>
requires std::is_convertible_v<Q, quantity_type>
constexpr explicit quantity_point(const Q& q) : q_{q} {}
template<QuantityPoint QP2>
requires std::is_convertible_v<typename QP2::quantity_type, quantity_type>
constexpr quantity_point(const QP2& qp) : q_{qp.relative()} {}
quantity_point& operator=(const quantity_point&) = default;
quantity_point& operator=(quantity_point&&) = default;
[[nodiscard]] constexpr quantity_type relative() const noexcept { return q_; }
template<typename Q = quantity_type>
[[nodiscard]] static constexpr quantity_point min() noexcept
requires requires { Q::min(); }
// requires requires { quantity_type::min(); } // TODO gated by gcc-9 (fixed in gcc-10)
{
return quantity_point(quantity_type::min());
}
template<typename Q = quantity_type>
[[nodiscard]] static constexpr quantity_point max() noexcept
requires requires { Q::max(); }
// requires requires { quantity_type::max(); } // TODO gated by gcc-9 (fixed in gcc-10)
{
return quantity_point(quantity_type::max());
}
template<typename Q = quantity_type>
requires requires(Q q) { ++q; }
constexpr quantity_point& operator++()
// requires requires(quantity_type) { ++q; } // TODO gated by gcc-9 (fixed in gcc-10)
{
++q_;
return *this;
}
template<typename Q = quantity_type>
requires requires(Q q) { q++; }
constexpr quantity_point operator++(int)
// requires requires(quantity_type q) { q++; } // TODO gated by gcc-9 (fixed in gcc-10)
{
return quantity_point(q_++);
}
template<typename Q = quantity_type>
requires requires(Q q) { --q; }
constexpr quantity_point& operator--()
// requires requires(quantity_type q) { --q; } // TODO gated by gcc-9 (fixed in gcc-10)
{
--q_;
return *this;
}
template<typename Q = quantity_type>
requires requires(Q q) { q--; }
constexpr quantity_point operator--(int)
// requires requires(quantity_type q) { q--; } // TODO gated by gcc-9 (fixed in gcc-10)
{
return quantity_point(q_--);
}
template<typename Q = quantity_type>
requires requires(Q q1, Q q2) { q1 += q2; }
constexpr quantity_point& operator+=(const quantity_type& q)
// requires requires(quantity_type q) { q += q; } // TODO gated by gcc-9 (fixed in gcc-10)
{
q_ += q;
return *this;
}
template<typename Q = quantity_type>
requires requires(Q q1, Q q2) { q1 -= q2; }
constexpr quantity_point& operator-=(const quantity_type& q)
// requires requires(quantity_type q) { q1 -= q2; } // TODO gated by gcc-9 (fixed in gcc-10)
{
q_ -= q;
return *this;
}
// Hidden Friends
// Below friend functions are to be found via argument-dependent lookup only
#if __GNUC__ >= 10
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr auto operator<=>(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires requires { lhs.q_ <=> rhs.relative(); }
{
return lhs.q_ <=> rhs.relative();
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr auto operator==(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires requires { lhs.q_ == rhs.relative(); }
{
return lhs.q_ == rhs.relative();
}
#else
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator==(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::equality_comparable_with<Rep, Rep2>
{
return lhs.q_ == rhs.relative();
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator!=(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::equality_comparable_with<Rep, Rep2>
{
return !(lhs == rhs);
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator<(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::totally_ordered_with<Rep, Rep2>
{
return lhs.q_ < rhs.relative();
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator<=(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::totally_ordered_with<Rep, Rep2>
{
return !(rhs < lhs);
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator>(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::totally_ordered_with<Rep, Rep2>
{
return rhs < lhs;
}
template<typename D2, typename U2, typename Rep2>
[[nodiscard]] friend constexpr bool operator>=(const quantity_point& lhs, const quantity_point<D2, U2, Rep2>& rhs)
requires equivalent_dim<D, D2> &&
std::totally_ordered_with<Rep, Rep2>
{
return !(lhs < rhs);
}
#endif
};
template<Dimension D, UnitOf<D> U, Scalar Rep>
quantity_point(quantity<D, U, Rep>) -> quantity_point<D, U, Rep>;
template<typename D, typename U1, typename Rep1, typename U2, typename Rep2>
[[nodiscard]] constexpr QuantityPoint AUTO operator+(const quantity_point<D, U1, Rep1>& lhs,
const quantity<D, U2, Rep2>& rhs)
requires requires { lhs.relative() + rhs; }
{
return quantity_point(lhs.relative() + rhs);
}
template<typename D, typename U1, typename Rep1, typename U2, typename Rep2>
[[nodiscard]] constexpr QuantityPoint AUTO operator+(const quantity<D, U1, Rep1>& lhs,
const quantity_point<D, U2, Rep2>& rhs)
requires requires { rhs + lhs; }
{
return rhs + lhs;
}
template<typename D, typename U1, typename Rep1, typename U2, typename Rep2>
[[nodiscard]] constexpr QuantityPoint AUTO operator-(const quantity_point<D, U1, Rep1>& lhs,
const quantity<D, U2, Rep2>& rhs)
requires requires { lhs.relative() - rhs; }
{
return quantity_point(lhs.relative() - rhs);
}
template<typename D, typename U1, typename Rep1, typename U2, typename Rep2>
[[nodiscard]] constexpr Quantity AUTO operator-(const quantity_point<D, U1, Rep1>& lhs,
const quantity_point<D, U2, Rep2>& rhs)
requires requires { lhs.relative() - rhs.relative(); }
{
return lhs.relative() - rhs.relative();
}
namespace detail {
template<typename D, typename U, typename Rep>
inline constexpr bool is_quantity_point<quantity_point<D, U, Rep>> = true;
} // namespace detail
} // namespace units

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@@ -30,6 +30,7 @@ add_library(unit_tests_static
fixed_string_test.cpp
fps_test.cpp
math_test.cpp
quantity_point_test.cpp
quantity_test.cpp
ratio_test.cpp
si_test.cpp

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@@ -0,0 +1,254 @@
// 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.
#include "units/math.h"
#include "units/physical/si/area.h"
#include "units/physical/si/frequency.h"
#include "units/physical/si/speed.h"
#include "units/physical/si/volume.h"
#include "units/physical/us/length.h"
#include "units/quantity_point.h"
#include <chrono>
#include <utility>
namespace {
using namespace units;
using namespace units::physical::si;
// class invariants
template<typename DimLength>
concept invalid_types = requires
{
!requires { typename quantity_point<DimLength, second, int>; }; // unit of a different dimension
!requires { typename quantity_point<DimLength, metre, quantity<DimLength, metre, int>>; }; // quantity used as Rep
// quantity point used as Rep
!requires { typename quantity_point<DimLength, metre, quantity_point<DimLength, metre, int>>; };
!requires { typename quantity<metre, DimLength, double>; }; // reordered arguments
};
static_assert(invalid_types<physical::si::dim_length>);
// member types
static_assert(std::is_same_v<quantity_point<dim_length, metre, int>::rep, int>);
static_assert(std::is_same_v<quantity_point<dim_length, metre, double>::rep, double>);
static_assert(std::is_same_v<quantity_point<dim_length, metre, int>::unit, metre>);
static_assert(std::is_same_v<quantity_point<dim_length, kilometre, int>::unit, kilometre>);
// constructors
static_assert(quantity_point<dim_length, metre, int>().relative() == 0q_m);
constexpr quantity_point<dim_length, metre, int> km{1000q_m};
static_assert(km.relative() == 1000q_m);
static_assert(quantity_point<dim_length, metre, int>(km).relative() == km.relative());
static_assert(quantity_point<dim_length, metre, int>(1q_m).relative() == 1q_m);
static_assert(!std::is_constructible_v<quantity_point<dim_length, metre, int>, double>); // truncating conversion
static_assert(quantity_point<dim_length, metre, double>(1.0q_m).relative() == 1.0q_m);
static_assert(quantity_point<dim_length, metre, double>(1q_m).relative() == 1q_m);
static_assert(quantity_point<dim_length, metre, long double>(3.14q_m).relative() == 3.14q_m);
static_assert(quantity_point<dim_length, metre, int>(km).relative() == 1000q_m);
static_assert(!std::is_constructible_v<quantity_point<dim_length, metre, int>,
quantity_point<dim_length, metre, double>>); // truncating conversion
static_assert(quantity_point<dim_length, metre, double>(quantity_point(1000.0q_m)).relative() == 1000.0q_m);
static_assert(quantity_point<dim_length, metre, double>(km).relative() == 1000.0q_m);
static_assert(quantity_point<dim_length, metre, int>(quantity_point(1q_km)).relative() == 1000q_m);
static_assert(!std::is_constructible_v<quantity_point<dim_length, metre, int>,
quantity_point<dim_time, second, int>>); // different dimensions
static_assert(!std::is_constructible_v<quantity_point<dim_length, kilometre, int>,
quantity_point<dim_length, metre, int>>); // truncating conversion
// assignment operator
static_assert([]() { quantity_point<dim_length, metre, int> l1(1q_m), l2{}; return l2 = l1; }().relative() == 1q_m);
// static member functions
static_assert(quantity_point<dim_length, metre, int>::min().relative().count() == std::numeric_limits<int>::lowest());
static_assert(quantity_point<dim_length, metre, int>::max().relative().count() == std::numeric_limits<int>::max());
static_assert(quantity_point<dim_length, metre, double>::min().relative().count() ==
std::numeric_limits<double>::lowest());
static_assert(quantity_point<dim_length, metre, double>::max().relative().count() ==
std::numeric_limits<double>::max());
// unary member operators
static_assert([km=km]() mutable { return ++km; }().relative().count() == 1001);
static_assert([km=km]() mutable { return --km; }().relative().count() == 999);
static_assert([km=km]() mutable { return km++; }().relative().count() == 1000);
static_assert([km=km]() mutable { return km--; }().relative().count() == 1000);
// binary member operators
static_assert([](auto v) {
auto vv = v++;
return std::pair(v, vv);
}(km) == std::pair(quantity_point<dim_length, metre, int>(1001q_m), quantity_point<dim_length, metre, int>(1000q_m)));
static_assert([](auto v) {
auto vv = ++v;
return std::pair(v, vv);
}(km) == std::pair(quantity_point<dim_length, metre, int>(1001q_m), quantity_point<dim_length, metre, int>(1001q_m)));
static_assert([](auto v) {
auto vv = v--;
return std::pair(v, vv);
}(km) == std::pair(quantity_point<dim_length, metre, int>(999q_m), quantity_point<dim_length, metre, int>(1000q_m)));
static_assert([](auto v) {
auto vv = --v;
return std::pair(v, vv);
}(km) == std::pair(quantity_point<dim_length, metre, int>(999q_m), quantity_point<dim_length, metre, int>(999q_m)));
// compound assignment
static_assert((quantity_point(1q_m) += 1q_m).relative().count() == 2);
static_assert((quantity_point(2q_m) -= 1q_m).relative().count() == 1);
// non-member arithmetic operators
static_assert(std::is_same_v<decltype(quantity_point<dim_length, metre, int>() + length<metre, double>()),
quantity_point<dim_length, metre, double>>);
static_assert(std::is_same_v<decltype(length<metre, int>() + quantity_point<dim_length, metre, double>()),
quantity_point<dim_length, metre, double>>);
static_assert(std::is_same_v<decltype(quantity_point<dim_length, kilometre, int>() + length<metre, double>()),
quantity_point<dim_length, metre, double>>);
static_assert(std::is_same_v<decltype(length<kilometre, int>() + quantity_point<dim_length, metre, double>()),
quantity_point<dim_length, metre, double>>);
static_assert(std::is_same_v<decltype(quantity_point<dim_length, metre, double>() - length<metre, int>()),
quantity_point<dim_length, metre, double>>);
static_assert(std::is_same_v<decltype(quantity_point<dim_length, kilometre, double>() - length<metre, int>()),
quantity_point<dim_length, metre, double>>);
static_assert(
std::is_same_v<decltype(quantity_point<dim_length, metre, double>() - quantity_point<dim_length, metre, int>()),
length<metre, double>>);
static_assert(
std::is_same_v<decltype(quantity_point<dim_length, kilometre, double>() - quantity_point<dim_length, metre, int>()),
length<metre, double>>);
static_assert((1q_m + km).relative().count() == 1001);
static_assert((quantity_point(1q_m) + 1q_km).relative().count() == 1001);
static_assert((km - 1q_m).relative().count() == 999);
static_assert((quantity_point(1q_km) - quantity_point(1q_m)).count() == 999);
// comparators
static_assert(quantity_point(2q_m) + 1q_m == quantity_point(3q_m));
static_assert(!(2q_m + quantity_point(2q_m) == quantity_point(3q_m)));
static_assert(quantity_point(2q_m) + 2q_m != quantity_point(3q_m));
static_assert(!(2q_m + quantity_point(2q_m) != quantity_point(4q_m)));
static_assert(quantity_point(2q_m) > quantity_point(1q_m));
static_assert(!(quantity_point(1q_m) > quantity_point(1q_m)));
static_assert(quantity_point(1q_m) < quantity_point(2q_m));
static_assert(!(quantity_point(2q_m) < quantity_point(2q_m)));
static_assert(quantity_point(2q_m) >= quantity_point(1q_m));
static_assert(quantity_point(2q_m) >= quantity_point(2q_m));
static_assert(!(quantity_point(2q_m) >= quantity_point(3q_m)));
static_assert(quantity_point(1q_m) <= quantity_point(2q_m));
static_assert(quantity_point(2q_m) <= quantity_point(2q_m));
static_assert(!(quantity_point(3q_m) <= quantity_point(2q_m)));
static_assert(quantity_point(3q_m) == quantity_point(3.0q_m));
static_assert(quantity_point(3q_m) != quantity_point(3.14q_m));
static_assert(quantity_point(2q_m) > quantity_point(1.0q_m));
static_assert(quantity_point(1.0q_m) < quantity_point(2q_m));
static_assert(quantity_point(2.0q_m) >= quantity_point(1q_m));
static_assert(quantity_point(1q_m) <= quantity_point(2.0q_m));
static_assert(quantity_point(1000q_m) == quantity_point(1q_km));
static_assert(quantity_point(1001q_m) != quantity_point(1q_km));
static_assert(quantity_point(1001q_m) > quantity_point(1q_km));
static_assert(quantity_point(999q_m) < quantity_point(1q_km));
static_assert(quantity_point(1000q_m) >= quantity_point(1q_km));
static_assert(quantity_point(1000q_m) <= quantity_point(1q_km));
// alias units
static_assert(quantity_point(2q_l) + 2q_ml == quantity_point(2002q_ml));
static_assert(2q_l + quantity_point(2q_ml) == quantity_point(2002q_cm3));
static_assert(quantity_point(2q_l) + 2q_cm3 == quantity_point(2002q_ml));
static_assert(2q_dm3 + quantity_point(2q_cm3) == quantity_point(2002q_ml));
// is_quantity_point
static_assert(QuantityPoint<quantity_point<dim_length, millimetre, int>>);
// common_quantity_point
static_assert(std::is_same_v<
common_quantity_point<quantity_point<dim_length, metre, int>, quantity_point<dim_length, kilometre, int>>,
quantity_point<dim_length, metre, int>>);
static_assert(std::is_same_v<common_quantity_point<quantity_point<dim_length, kilometre, long long>,
quantity_point<dim_length, metre, int>>,
quantity_point<dim_length, metre, long long>>);
static_assert(std::is_same_v<common_quantity_point<quantity_point<dim_length, kilometre, long long>,
quantity_point<dim_length, millimetre, double>>,
quantity_point<dim_length, millimetre, double>>);
// common_type
using namespace units::physical::us::literals;
static_assert(std::equality_comparable<decltype(quantity_point(1q_m))>);
static_assert(std::equality_comparable_with<decltype(quantity_point(1q_m)), decltype(quantity_point(1q_km))>);
static_assert(quantity_point(0q_m) == quantity_point(0q_ft_us));
static_assert(std::equality_comparable_with<decltype(quantity_point(1q_m)), decltype(quantity_point(1q_ft_us))>);
// quantity_cast
static_assert(
std::is_same_v<decltype(quantity_point_cast<scaled_unit<ratio<1>, metre>>(quantity_point(2q_km)))::unit, metre>);
static_assert(quantity_point_cast<quantity_point<dim_length, metre, int>>(quantity_point(2q_km)).relative().count() ==
2000);
static_assert(
quantity_point_cast<quantity_point<dim_length, kilometre, int>>(quantity_point(2000q_m)).relative().count() == 2);
static_assert(quantity_point_cast<quantity_point<dim_length, metre, int>>(quantity_point(1.23q_m)).relative().count() ==
1);
static_assert(quantity_point_cast<length<metre, int>>(quantity_point(2q_km)).relative().count() == 2000);
static_assert(quantity_point_cast<length<kilometre, int>>(quantity_point(2000q_m)).relative().count() == 2);
static_assert(quantity_point_cast<length<metre, int>>(quantity_point(1.23q_m)).relative().count() == 1);
static_assert(quantity_point_cast<metre>(quantity_point(2q_km)).relative().count() == 2000);
static_assert(quantity_point_cast<kilometre>(quantity_point(2000q_m)).relative().count() == 2);
static_assert(quantity_point_cast<int>(quantity_point(1.23q_m)).relative().count() == 1);
// time
static_assert(!std::equality_comparable_with<quantity_point<dim_time, second, int>,
quantity_point<dim_length, metre, int>>); // different dimensions
static_assert(quantity_point{1q_h} == quantity_point{3600q_s});
// length
static_assert(quantity_point(1q_km) == quantity_point(1000q_m));
static_assert(quantity_point(1q_km) + 1q_m == quantity_point(1001q_m));
static_assert(1q_km + quantity_point(1q_m) == quantity_point(1001q_m));
template<class T>
concept dimensional_analysis = requires(T t)
{
pow<2>(t);
};
static_assert(!dimensional_analysis<quantity_point<dim_length, metre, int>>);
} // namespace