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594 lines
32 KiB
C++
594 lines
32 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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#include "test_tools.h"
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#include <mp-units/ext/type_traits.h>
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#include <mp-units/framework.h>
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#include <mp-units/systems/isq.h>
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#include <mp-units/systems/si/prefixes.h>
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#ifdef MP_UNITS_IMPORT_STD
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import std;
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#else
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#include <type_traits>
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#endif
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namespace {
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using namespace mp_units;
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using namespace mp_units::detail;
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using one_ = struct one;
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using percent_ = struct percent;
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// clang-format off
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// prefixes
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template<PrefixableUnit U> struct milli_ final : prefixed_unit<"m", mag_power<10, -3>, U{}> {};
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template<PrefixableUnit U> struct kilo_ final : prefixed_unit<"k", mag_power<10, 3>, U{}> {};
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template<PrefixableUnit auto U> constexpr milli_<MP_UNITS_REMOVE_CONST(decltype(U))> milli;
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template<PrefixableUnit auto U> constexpr kilo_<MP_UNITS_REMOVE_CONST(decltype(U))> kilo;
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// base units
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inline constexpr struct second_ final : named_unit<"s", kind_of<isq::time>> {} second;
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inline constexpr struct metre_ final : named_unit<"m", kind_of<isq::length>> {} metre;
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inline constexpr struct gram_ final : named_unit<"g", kind_of<isq::mass>> {} gram;
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inline constexpr auto kilogram = kilo<gram>;
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inline constexpr struct kelvin_ final : named_unit<"K", kind_of<isq::thermodynamic_temperature>> {} kelvin;
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// hypothetical natural units for c=1
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inline constexpr struct nu_second_ final : named_unit<"s"> {} nu_second;
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// derived named units
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inline constexpr struct radian_ final : named_unit<"rad", metre / metre, kind_of<isq::angular_measure>> {} radian;
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inline constexpr struct revolution_ final : named_unit<"rev", mag<2> * mag<π> * radian> {} revolution;
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inline constexpr struct steradian_ final : named_unit<"sr", square(metre) / square(metre), kind_of<isq::solid_angular_measure>> {} steradian;
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inline constexpr struct hertz_ final : named_unit<"Hz", inverse(second), kind_of<isq::frequency>> {} hertz;
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inline constexpr struct becquerel_ final : named_unit<"Bq", inverse(second), kind_of<isq::activity>> {} becquerel;
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inline constexpr struct newton_ final : named_unit<"N", kilogram * metre / square(second)> {} newton;
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inline constexpr struct pascal_ final : named_unit<"Pa", newton / square(metre)> {} pascal;
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inline constexpr struct joule_ final : named_unit<"J", newton * metre> {} joule;
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inline constexpr struct watt_ final : named_unit<"W", joule / second> {} watt;
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inline constexpr struct degree_Celsius_ final : named_unit<symbol_text{u8"℃", "`C"}, kelvin> {} degree_Celsius;
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inline constexpr struct degree_Fahrenheit_ final : named_unit<symbol_text{u8"℉", "`F"}, mag_ratio<5, 9> * degree_Celsius> {} degree_Fahrenheit;
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inline constexpr struct minute_ final : named_unit<"min", mag<60> * second> {} minute;
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inline constexpr struct hour_ final : named_unit<"h", mag<60> * minute> {} hour;
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inline constexpr struct degree_ final : named_unit<symbol_text{u8"°", "deg"}, mag<π> / mag<180> * radian> {} degree;
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inline constexpr struct yard_ final : named_unit<"yd", mag_ratio<9'144, 10'000> * metre> {} yard;
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inline constexpr struct mile_ final : named_unit<"mi", mag<1760> * yard> {} mile;
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inline constexpr struct nautical_mile_ final : named_unit<"nmi", mag<1852> * metre> {} nautical_mile;
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inline constexpr auto kilometre = kilo<metre>;
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inline constexpr auto kilojoule = kilo<joule>;
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// physical constant units
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inline constexpr struct standard_gravity_ final : named_unit<symbol_text{u8"g₀", "g_0"}, mag_ratio<980'665, 100'000> * metre / square(second)> {} standard_gravity;
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inline constexpr struct speed_of_light_in_vacuum_ final : named_unit<"c", mag<299'792'458> * metre / second> {} speed_of_light_in_vacuum;
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// clang-format on
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// concepts verification
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static_assert(Unit<metre_>);
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static_assert(Unit<second_>);
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static_assert(Unit<nu_second_>);
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static_assert(Unit<MP_UNITS_NONCONST_TYPE(kilogram)>);
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static_assert(Unit<hertz_>);
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static_assert(Unit<newton_>);
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static_assert(Unit<minute_>);
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static_assert(Unit<si::kilo_<struct gram_>>);
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static_assert(Unit<decltype(square(metre))>);
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static_assert(Unit<decltype(cubic(metre))>);
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static_assert(Unit<decltype(mag<60> * second)>);
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static_assert(Unit<decltype(second * second)>);
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static_assert(Unit<decltype(nu_second * nu_second)>);
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static_assert(Unit<decltype(metre / second)>);
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static_assert(Unit<decltype(nu_second / nu_second)>);
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static_assert(Unit<MP_UNITS_NONCONST_TYPE(kilometre)>);
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static_assert(PrefixableUnit<metre_>);
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static_assert(PrefixableUnit<hertz_>);
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static_assert(PrefixableUnit<newton_>);
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static_assert(PrefixableUnit<minute_>);
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static_assert(PrefixableUnit<radian_>);
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static_assert(!PrefixableUnit<MP_UNITS_NONCONST_TYPE(kilogram)>);
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static_assert(!PrefixableUnit<decltype(kilojoule)>);
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static_assert(!PrefixableUnit<si::kilo_<struct gram_>>);
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static_assert(!PrefixableUnit<decltype(square(metre))>);
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static_assert(!PrefixableUnit<decltype(cubic(metre))>);
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static_assert(!PrefixableUnit<decltype(mag<60> * second)>);
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static_assert(!PrefixableUnit<MP_UNITS_NONCONST_TYPE(kilometre)>);
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// named unit
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static_assert(is_of_type<metre, metre_>);
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static_assert(is_of_type<get_canonical_unit(metre).reference_unit, metre_>);
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static_assert(get_canonical_unit(metre).mag == mag<1>);
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static_assert(metre == metre);
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static_assert(metre != second);
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static_assert(is_of_type<degree_Celsius, degree_Celsius_>);
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static_assert(is_of_type<get_canonical_unit(degree_Celsius).reference_unit, kelvin_>);
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static_assert(get_canonical_unit(degree_Celsius).mag == mag<1>);
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static_assert(degree_Celsius != kelvin);
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static_assert(equivalent(degree_Celsius, kelvin));
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static_assert(is_of_type<radian, radian_>);
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static_assert(is_of_type<get_canonical_unit(radian).reference_unit, one_>);
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static_assert(get_canonical_unit(radian).mag == mag<1>);
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static_assert(is_of_type<degree, degree_>);
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static_assert(is_of_type<get_canonical_unit(degree).reference_unit, one_>);
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static_assert(get_canonical_unit(degree).mag == mag<π> / mag<180>);
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static_assert(radian != degree);
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static_assert(radian != one);
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static_assert(is_of_type<steradian, steradian_>);
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static_assert(is_of_type<get_canonical_unit(steradian).reference_unit, one_>);
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static_assert(get_canonical_unit(steradian).mag == mag<1>);
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static_assert(radian != steradian);
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static_assert(is_of_type<minute, minute_>);
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static_assert(is_of_type<get_canonical_unit(minute).reference_unit, second_>);
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static_assert(get_canonical_unit(minute).mag == mag<60>);
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static_assert(minute != second);
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static_assert(is_of_type<hour, hour_>);
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static_assert(is_of_type<get_canonical_unit(hour).reference_unit, second_>);
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static_assert(get_canonical_unit(hour).mag == mag<3600>);
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static_assert(hour != second);
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static_assert(hour != minute);
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static_assert(hour == hour);
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static_assert(is_of_type<newton, newton_>);
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static_assert(
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is_of_type<get_canonical_unit(newton).reference_unit, derived_unit<gram_, metre_, per<power<second_, 2>>>>);
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static_assert(get_canonical_unit(newton).mag == mag<1000>); // !!! (because of kilogram)
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static_assert(newton == newton);
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static_assert(is_of_type<joule, joule_>);
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static_assert(
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is_of_type<get_canonical_unit(joule).reference_unit, derived_unit<gram_, power<metre_, 2>, per<power<second_, 2>>>>);
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static_assert(get_canonical_unit(joule).mag == mag<1000>); // !!! (because of kilogram)
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static_assert(joule == joule);
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static_assert(joule != newton);
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static_assert(is_of_type<nu_second / nu_second, one_>);
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// constant_unit
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static_assert(is_of_type<standard_gravity, standard_gravity_>);
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static_assert(
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is_of_type<get_canonical_unit(standard_gravity).reference_unit, derived_unit<metre_, per<power<second_, 2>>>>);
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static_assert(get_canonical_unit(standard_gravity).mag == mag_ratio<980'665, 100'000>);
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static_assert(standard_gravity == standard_gravity);
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static_assert(standard_gravity != metre / square(second)); // magnitude is different
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static_assert(standard_gravity._symbol_ == symbol_text{u8"g₀", "g_0"});
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// prefixed_unit
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static_assert(is_of_type<kilometre, MP_UNITS_NONCONST_TYPE(kilo<metre>)>);
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static_assert(is_of_type<get_canonical_unit(kilometre).reference_unit, metre_>);
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static_assert(get_canonical_unit(kilometre).mag == mag<1000>);
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static_assert(kilometre != metre);
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static_assert(kilometre._symbol_ == "km");
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static_assert(is_of_type<kilojoule, MP_UNITS_NONCONST_TYPE(kilo<joule>)>);
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static_assert(is_of_type<get_canonical_unit(kilojoule).reference_unit,
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derived_unit<gram_, power<metre_, 2>, per<power<second_, 2>>>>);
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static_assert(get_canonical_unit(kilojoule).mag == mag<1'000'000>);
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static_assert(kilojoule != joule);
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static_assert(kilojoule._symbol_ == "kJ");
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static_assert(is_of_type<kilo<metre>, kilo_<metre_>>);
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static_assert(is_of_type<kilo<joule>, kilo_<joule_>>);
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static_assert(is_of_type<kilometre / metre, derived_unit<MP_UNITS_NONCONST_TYPE(kilo<metre>), per<metre_>>>); // !!!
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// prefixes
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static_assert(si::quecto<metre>._symbol_ == "qm");
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static_assert(si::ronto<metre>._symbol_ == "rm");
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static_assert(si::yocto<metre>._symbol_ == "ym");
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static_assert(si::zepto<metre>._symbol_ == "zm");
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static_assert(si::atto<metre>._symbol_ == "am");
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static_assert(si::femto<metre>._symbol_ == "fm");
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static_assert(si::pico<metre>._symbol_ == "pm");
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static_assert(si::nano<metre>._symbol_ == "nm");
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static_assert(si::micro<metre>._symbol_ == symbol_text{u8"µm", "um"});
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static_assert(si::milli<metre>._symbol_ == "mm");
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static_assert(si::centi<metre>._symbol_ == "cm");
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static_assert(si::deci<metre>._symbol_ == "dm");
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static_assert(si::deca<metre>._symbol_ == "dam");
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static_assert(si::hecto<metre>._symbol_ == "hm");
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static_assert(si::kilo<metre>._symbol_ == "km");
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static_assert(si::mega<metre>._symbol_ == "Mm");
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static_assert(si::giga<metre>._symbol_ == "Gm");
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static_assert(si::tera<metre>._symbol_ == "Tm");
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static_assert(si::peta<metre>._symbol_ == "Pm");
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static_assert(si::exa<metre>._symbol_ == "Em");
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static_assert(si::zetta<metre>._symbol_ == "Zm");
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static_assert(si::yotta<metre>._symbol_ == "Ym");
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static_assert(si::ronna<metre>._symbol_ == "Rm");
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static_assert(si::quetta<metre>._symbol_ == "Qm");
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// scaled_unit
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constexpr auto m_1 = mag<1> * metre;
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static_assert(is_of_type<m_1, metre_>);
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static_assert(is_of_type<get_canonical_unit(m_1).reference_unit, metre_>);
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static_assert(get_canonical_unit(m_1).mag == mag<1>);
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constexpr auto m_2 = mag<2> * metre;
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static_assert(is_of_type<m_2, scaled_unit<mag<2>, metre_>>);
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static_assert(is_of_type<get_canonical_unit(m_2).reference_unit, metre_>);
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static_assert(get_canonical_unit(m_2).mag == mag<2>);
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constexpr auto m_3 = mag_ratio<1, 2> * m_2;
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static_assert(is_of_type<m_3, metre_>);
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static_assert(is_of_type<get_canonical_unit(m_3).reference_unit, metre_>);
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static_assert(get_canonical_unit(m_3).mag == mag<1>);
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constexpr auto m_4 = mag_ratio<1, 2> * (mag<4> * metre);
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static_assert(is_of_type<m_4, scaled_unit<mag<2>, metre_>>);
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static_assert(is_of_type<get_canonical_unit(m_4).reference_unit, metre_>);
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static_assert(get_canonical_unit(m_4).mag == mag<2>);
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constexpr auto km_2 = mag<2> * kilometre;
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static_assert(is_of_type<km_2, scaled_unit<mag<2>, kilo_<metre_>>>);
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static_assert(is_of_type<get_canonical_unit(km_2).reference_unit, metre_>);
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static_assert(get_canonical_unit(km_2).mag == mag<2000>);
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constexpr auto kJ_42 = mag<42> * kilo<joule>;
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static_assert(is_of_type<kJ_42, scaled_unit<mag<42>, kilo_<joule_>>>);
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static_assert(
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is_of_type<get_canonical_unit(kJ_42).reference_unit, derived_unit<gram_, power<metre_, 2>, per<power<second_, 2>>>>);
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static_assert(get_canonical_unit(kJ_42).mag == mag<42'000'000>);
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// derived unit expression template syntax verification
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static_assert(is_of_type<inverse(second), derived_unit<one_, per<second_>>>);
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static_assert(is_of_type<one / (inverse(second)), second_>);
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static_assert(is_of_type<one * second, second_>);
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static_assert(is_of_type<second * one, second_>);
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static_assert(is_of_type<one * inverse(second), derived_unit<one_, per<second_>>>);
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static_assert(is_of_type<one / second * one, derived_unit<one_, per<second_>>>);
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static_assert(is_of_type<metre * second, derived_unit<metre_, second_>>);
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static_assert(is_of_type<metre * metre, derived_unit<power<metre_, 2>>>);
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static_assert(is_of_type<square(metre), derived_unit<power<metre_, 2>>>);
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static_assert(is_of_type<cubic(metre), derived_unit<power<metre_, 3>>>);
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static_assert(is_of_type<square(metre) * metre, derived_unit<power<metre_, 3>>>);
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static_assert(is_of_type<metre * square(metre), derived_unit<power<metre_, 3>>>);
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static_assert(is_of_type<square(metre) / metre, metre_>);
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static_assert(is_of_type<cubic(metre) / metre, derived_unit<power<metre_, 2>>>);
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static_assert(is_of_type<cubic(metre) / square(metre), metre_>);
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static_assert(is_of_type<metre / second, derived_unit<metre_, per<second_>>>);
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static_assert(is_of_type<metre / square(second), derived_unit<metre_, per<power<second_, 2>>>>);
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static_assert(is_of_type<metre / square(second) / second, derived_unit<metre_, per<power<second_, 3>>>>);
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static_assert(is_of_type<metre * metre * second, derived_unit<power<metre_, 2>, second_>>);
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static_assert(is_of_type<metre * second * metre, derived_unit<power<metre_, 2>, second_>>);
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static_assert(is_of_type<metre*(second* metre), derived_unit<power<metre_, 2>, second_>>);
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static_assert(is_of_type<second*(metre* metre), derived_unit<power<metre_, 2>, second_>>);
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static_assert(is_of_type<one / second * metre, derived_unit<metre_, per<second_>>>);
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static_assert(is_of_type<one / second * second, one_>);
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static_assert(is_of_type<second / one, second_>);
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static_assert(is_of_type<one / second / one, derived_unit<one_, per<second_>>>);
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static_assert(is_of_type<metre / second * second, metre_>);
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static_assert(is_of_type<one / second * inverse(second), derived_unit<one_, per<power<second_, 2>>>>);
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static_assert(is_of_type<one / (second * second), derived_unit<one_, per<power<second_, 2>>>>);
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static_assert(is_of_type<one / inverse(second* second), derived_unit<power<second_, 2>>>);
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static_assert(is_of_type<metre / second * inverse(second), derived_unit<metre_, per<power<second_, 2>>>>);
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static_assert(is_of_type<metre / second*(metre / second), derived_unit<power<metre_, 2>, per<power<second_, 2>>>>);
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static_assert(is_of_type<metre / second*(second / metre), one_>);
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static_assert(is_of_type<watt / joule, derived_unit<watt_, per<joule_>>>);
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static_assert(is_of_type<joule / watt, derived_unit<joule_, per<watt_>>>);
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static_assert(is_of_type<one / second, derived_unit<one_, per<second_>>>);
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static_assert(is_of_type<one / inverse(second), second_>);
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static_assert(is_of_type<one / inverse(second), second_>);
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static_assert(is_of_type<inverse(pascal), derived_unit<one_, per<pascal_>>>);
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static_assert(is_of_type<inverse(gram) * metre * square(second), derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(
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is_of_type<inverse(gram / (metre * square(second))), derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(is_of_type<one*(metre* square(second) / gram), derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(is_of_type<one * metre * square(second) / gram, derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(is_of_type<(metre * square(second) / gram) * one, derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(is_of_type<metre * square(second) / gram * one, derived_unit<metre_, power<second_, 2>, per<gram_>>>);
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static_assert(is_of_type<standard_gravity * gram, derived_unit<gram_, standard_gravity_>>);
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static_assert(is_of_type<gram * standard_gravity, derived_unit<gram_, standard_gravity_>>);
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static_assert(is_of_type<standard_gravity / gram, derived_unit<standard_gravity_, per<gram_>>>);
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static_assert(is_of_type<gram / standard_gravity, derived_unit<gram_, per<standard_gravity_>>>);
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static_assert(is_of_type<standard_gravity * gram / standard_gravity, gram_>);
|
|
static_assert(is_of_type<speed_of_light_in_vacuum * gram * standard_gravity,
|
|
derived_unit<gram_, speed_of_light_in_vacuum_, standard_gravity_>>);
|
|
static_assert(is_of_type<gram * standard_gravity * speed_of_light_in_vacuum,
|
|
derived_unit<gram_, speed_of_light_in_vacuum_, standard_gravity_>>);
|
|
|
|
static_assert(is_same_v<decltype(inverse(second) * metre), decltype(metre / second)>);
|
|
static_assert(is_same_v<decltype(metre * inverse(second)), decltype(metre / second)>);
|
|
static_assert(is_same_v<decltype((metre / second) * inverse(second)), decltype(metre / second / second)>);
|
|
static_assert(is_same_v<decltype((metre / second) * inverse(second)), decltype(metre / (second * second))>);
|
|
static_assert(is_same_v<decltype((metre / second) * inverse(second)), decltype(metre / square(second))>);
|
|
|
|
|
|
// derived unit normalization
|
|
constexpr auto m_per_s = metre / second;
|
|
static_assert(is_of_type<get_canonical_unit(m_per_s).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(m_per_s).mag == mag<1>);
|
|
|
|
constexpr auto km_per_s = kilometre / second;
|
|
static_assert(is_of_type<km_per_s, derived_unit<kilo_<metre_>, per<second_>>>);
|
|
static_assert(is_of_type<get_canonical_unit(km_per_s).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(km_per_s).mag == mag<1000>);
|
|
|
|
constexpr auto km_per_h = kilometre / hour;
|
|
static_assert(is_of_type<km_per_h, derived_unit<kilo_<metre_>, per<hour_>>>);
|
|
static_assert(is_of_type<get_canonical_unit(km_per_h).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(km_per_h).mag == mag_ratio<1000, 3600>);
|
|
|
|
static_assert(is_of_type<get_canonical_unit(inverse(metre)).reference_unit, derived_unit<one_, per<metre_>>>);
|
|
static_assert(is_of_type<get_canonical_unit(inverse(hertz)).reference_unit, second_>);
|
|
|
|
static_assert(
|
|
is_of_type<get_canonical_unit(pascal).reference_unit, derived_unit<gram_, per<metre_, power<second_, 2>>>>);
|
|
static_assert(
|
|
is_of_type<get_canonical_unit(one / pascal).reference_unit, derived_unit<metre_, power<second_, 2>, per<gram_>>>);
|
|
|
|
static_assert(
|
|
is_of_type<get_canonical_unit(standard_gravity).reference_unit, derived_unit<metre_, per<power<second_, 2>>>>);
|
|
static_assert(get_canonical_unit(standard_gravity).mag == mag_ratio<980'665, 100'000>);
|
|
static_assert(is_of_type<get_canonical_unit(standard_gravity* gram).reference_unit,
|
|
derived_unit<gram_, metre_, per<power<second_, 2>>>>);
|
|
static_assert(is_of_type<get_canonical_unit(standard_gravity / speed_of_light_in_vacuum).reference_unit,
|
|
derived_unit<one_, per<second_>>>);
|
|
|
|
// operations commutativity
|
|
constexpr auto u1 = mag<1000> * kilometre / hour;
|
|
static_assert(is_of_type<u1, derived_unit<scaled_unit<mag<1000>, kilo_<metre_>>, per<hour_>>>);
|
|
static_assert(is_of_type<get_canonical_unit(u1).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(u1).mag == mag_ratio<1'000'000, 3'600>);
|
|
|
|
constexpr auto u2 = mag<1000> * (kilometre / hour);
|
|
static_assert(is_of_type<u2, scaled_unit<mag<1000>, derived_unit<kilo_<metre_>, per<hour_>>>>);
|
|
static_assert(is_of_type<get_canonical_unit(u2).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(u2).mag == mag_ratio<1'000'000, 3'600>);
|
|
|
|
constexpr auto u3 = one / hour * (mag<1000> * kilometre);
|
|
static_assert(is_of_type<u3, derived_unit<scaled_unit<mag<1000>, kilo_<metre_>>, per<hour_>>>);
|
|
static_assert(is_of_type<get_canonical_unit(u3).reference_unit, derived_unit<metre_, per<second_>>>);
|
|
static_assert(get_canonical_unit(u3).mag == mag_ratio<1'000'000, 3'600>);
|
|
|
|
template<auto& s>
|
|
concept invalid_operations = requires {
|
|
requires !requires { s < s; };
|
|
requires !requires { s / 2; };
|
|
requires !requires { s * 2; };
|
|
requires !requires { s + 2; };
|
|
requires !requires { 2 + s; };
|
|
requires !requires { s + s; };
|
|
requires !requires { s - 2; };
|
|
requires !requires { 2 - s; };
|
|
requires !requires { s - s; };
|
|
requires !requires { s == 2; };
|
|
requires !requires { 2 == s; };
|
|
requires !requires { s < 2; };
|
|
requires !requires { 2 < s; };
|
|
requires !requires { s + isq::time[second]; };
|
|
requires !requires { s - isq::time[second]; };
|
|
requires !requires { s < isq::time[second]; };
|
|
requires !requires { isq::time[second] + s; };
|
|
requires !requires { isq::time[second] - s; };
|
|
requires !requires { s + 1 * isq::time[second]; };
|
|
requires !requires { s - 1 * isq::time[second]; };
|
|
requires !requires { s * 1 * isq::time[second]; };
|
|
requires !requires { s / 1 * isq::time[second]; };
|
|
requires !requires { s == 1 * isq::time[second]; };
|
|
requires !requires { s == 1 * isq::time[second]; };
|
|
requires !requires { 1 * isq::time[second] + s; };
|
|
requires !requires { 1 * isq::time[second] - s; };
|
|
requires !requires { 1 * isq::time[second] == s; };
|
|
requires !requires { 1 * isq::time[second] < s; };
|
|
};
|
|
static_assert(invalid_operations<second>);
|
|
|
|
// comparisons of the same units
|
|
static_assert(second == second);
|
|
static_assert(metre / second == metre / second);
|
|
static_assert(milli<metre> / milli<second> != si::micro<metre> / si::micro<second>);
|
|
static_assert(equivalent(milli<metre> / milli<second>, si::micro<metre> / si::micro<second>));
|
|
static_assert(milli<metre> / si::micro<second> != si::micro<metre> / si::nano<second>);
|
|
static_assert(equivalent(milli<metre> / si::micro<second>, si::micro<metre> / si::nano<second>));
|
|
static_assert(si::micro<metre> / milli<second> != si::nano<metre> / si::micro<second>);
|
|
static_assert(equivalent(si::micro<metre> / milli<second>, si::nano<metre> / si::micro<second>));
|
|
static_assert(milli<metre> * kilo<metre> != si::deci<metre> * si::deca<metre>);
|
|
static_assert(equivalent(milli<metre> * kilo<metre>, si::deci<metre>* si::deca<metre>));
|
|
static_assert(kilo<metre> * milli<metre> != si::deca<metre> * si::deci<metre>);
|
|
static_assert(equivalent(kilo<metre> * milli<metre>, si::deca<metre>* si::deci<metre>));
|
|
|
|
// comparisons of equivalent units (named vs unnamed/derived)
|
|
static_assert(one / second != hertz);
|
|
static_assert(equivalent(one / second, hertz));
|
|
|
|
// comparisons of equivalent units of different quantities
|
|
static_assert(hertz != becquerel);
|
|
|
|
// comparisons of scaled units
|
|
static_assert(kilo<metre> == kilometre);
|
|
static_assert(mag<1000> * metre != kilo<metre>);
|
|
static_assert(equivalent(mag<1000> * metre, kilo<metre>));
|
|
static_assert(mag<1000> * metre != kilometre);
|
|
static_assert(equivalent(mag<1000> * metre, kilometre));
|
|
|
|
static_assert(mag<60> * metre / second != metre / (mag_ratio<1, 60> * second));
|
|
static_assert(equivalent(mag<60> * metre / second, metre / (mag_ratio<1, 60> * second)));
|
|
|
|
static_assert(metre != kilometre);
|
|
static_assert(mag<100> * metre != kilometre);
|
|
static_assert(milli<metre> != kilometre);
|
|
|
|
// comparisons of non-compatible units
|
|
static_assert(metre != metre * metre);
|
|
|
|
// one
|
|
static_assert(is_of_type<metre / metre, one_>);
|
|
static_assert(is_of_type<kilo<metre> / metre, derived_unit<kilo_<metre_>, per<metre_>>>);
|
|
static_assert(metre / metre == one);
|
|
static_assert(hertz * second != one);
|
|
static_assert(equivalent(hertz * second, one));
|
|
static_assert(one * one == one);
|
|
static_assert(is_of_type<one * one, one_>);
|
|
static_assert(one * percent == percent);
|
|
static_assert(percent * one == percent);
|
|
static_assert(is_of_type<one * percent, percent_>);
|
|
static_assert(is_of_type<percent * one, percent_>);
|
|
|
|
static_assert(hertz != one / second);
|
|
static_assert(equivalent(hertz, one / second));
|
|
static_assert(newton != kilogram * metre / square(second));
|
|
static_assert(equivalent(newton, kilogram* metre / square(second)));
|
|
static_assert(joule != kilogram * square(metre) / square(second));
|
|
static_assert(equivalent(joule, kilogram* square(metre) / square(second)));
|
|
static_assert(joule != newton * metre);
|
|
static_assert(equivalent(joule, newton* metre));
|
|
static_assert(watt != joule / second);
|
|
static_assert(equivalent(watt, joule / second));
|
|
static_assert(watt != kilogram * square(metre) / cubic(second));
|
|
static_assert(equivalent(watt, kilogram* square(metre) / cubic(second)));
|
|
|
|
// power
|
|
static_assert(is_same_v<decltype(pow<2>(metre)), decltype(metre * metre)>);
|
|
static_assert(is_same_v<decltype(pow<2>(kilometre)), decltype(kilometre * kilometre)>);
|
|
static_assert(is_same_v<decltype(pow<2>(kilo<metre>)), decltype(kilo<metre> * kilo<metre>)>);
|
|
static_assert(is_same_v<decltype(pow<2>(hour)), decltype(hour * hour)>);
|
|
static_assert(is_same_v<decltype(pow<2>(mag<3600> * second)), decltype((mag<3600> * second) * (mag<3600> * second))>);
|
|
static_assert(is_same_v<decltype(pow<2>(metre / second)), decltype(metre * metre / second / second)>);
|
|
static_assert(is_same_v<decltype(pow<2>(kilometre / hour)), decltype(kilometre * kilometre / hour / hour)>);
|
|
|
|
static_assert(is_of_type<pow<0>(metre), one_>);
|
|
static_assert(is_of_type<pow<1>(metre), metre_>);
|
|
static_assert(is_of_type<pow<2, 2>(metre), metre_>);
|
|
static_assert(is_of_type<pow<2>(one), one_>);
|
|
static_assert(is_of_type<pow<2>(percent), derived_unit<power<percent_, 2>>>);
|
|
static_assert(is_of_type<pow<2>(radian), derived_unit<power<radian_, 2>>>);
|
|
static_assert(is_of_type<pow<2>(metre), derived_unit<power<metre_, 2>>>);
|
|
static_assert(is_of_type<pow<1, 2>(metre), derived_unit<power<metre_, 1, 2>>>);
|
|
static_assert(is_of_type<pow<1, 2>(metre* metre), metre_>);
|
|
static_assert(is_of_type<pow<1, 3>(metre* metre* metre), metre_>);
|
|
static_assert(is_of_type<pow<1, 3>(metre* metre), derived_unit<power<metre_, 2, 3>>>);
|
|
static_assert(is_of_type<pow<1, 2>(metre / second), derived_unit<power<metre_, 1, 2>, per<power<second_, 1, 2>>>>);
|
|
static_assert(is_of_type<pow<1, 2>(metre / (second * second)), derived_unit<power<metre_, 1, 2>, per<second_>>>);
|
|
static_assert(is_of_type<kilometre * kilometre, derived_unit<power<kilo_<metre_>, 2>>>);
|
|
|
|
static_assert(is_of_type<pow<2>(kilometre), derived_unit<power<kilo_<metre_>, 2>>>);
|
|
static_assert(is_of_type<pow<2>(kilo<metre>), derived_unit<power<kilo_<metre_>, 2>>>);
|
|
static_assert(is_of_type<pow<2>(hour), derived_unit<power<hour_, 2>>>);
|
|
static_assert(is_of_type<pow<2>(mag<3600>* second), derived_unit<power<scaled_unit<mag<3600>, second_>, 2>>>);
|
|
|
|
// get_common_unit
|
|
static_assert(is_of_type<get_common_unit(gram, gram), gram_>);
|
|
static_assert(is_of_type<get_common_unit(kilogram, kilogram), kilo_<gram_>>);
|
|
static_assert(is_of_type<get_common_unit(kilo<gram>, kilogram), kilo_<gram_>>);
|
|
static_assert(is_of_type<get_common_unit(kilogram, kilo<gram>), kilo_<gram_>>);
|
|
static_assert(is_of_type<get_common_unit(mag<1000>* gram, kilogram), kilo_<gram_>>);
|
|
static_assert(is_of_type<get_common_unit(kilogram, mag<1000>* gram), kilo_<gram_>>);
|
|
static_assert(is_of_type<get_common_unit(one / second, hertz), hertz_>);
|
|
static_assert(is_of_type<get_common_unit(hertz, one / second), hertz_>);
|
|
static_assert(is_of_type<get_common_unit(gram, kilogram), gram_>);
|
|
static_assert(is_of_type<get_common_unit(kilogram, gram), gram_>);
|
|
static_assert(is_of_type<get_common_unit(second, hour), second_>);
|
|
static_assert(is_of_type<get_common_unit(hour, second), second_>);
|
|
static_assert(is_of_type<get_common_unit(minute, hour), minute_>);
|
|
static_assert(is_of_type<get_common_unit(hour, minute), minute_>);
|
|
static_assert(is_of_type<get_common_unit(kilo<metre>, milli<metre>), milli_<metre_>>);
|
|
static_assert(is_of_type<get_common_unit(milli<metre>, kilo<metre>), milli_<metre_>>);
|
|
static_assert(is_of_type<get_common_unit(yard, mile), yard_>);
|
|
static_assert(is_of_type<get_common_unit(mile, yard), yard_>);
|
|
static_assert(
|
|
is_of_type<get_common_unit(speed_of_light_in_vacuum, metre / second), derived_unit<metre_, per<second_>>>);
|
|
|
|
static_assert(is_of_type<get_common_unit(radian, revolution), radian_>);
|
|
|
|
// those should return instantiations of the `common_unit` class template
|
|
static_assert(is_of_type<get_common_unit(kilometre, mile), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(mile, kilometre), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(kilometre / hour, metre / second),
|
|
common_unit<decltype(kilometre / hour), decltype(metre / second)>>);
|
|
static_assert(is_of_type<get_common_unit(metre / second, kilometre / hour),
|
|
common_unit<decltype(kilometre / hour), decltype(metre / second)>>);
|
|
static_assert(is_of_type<get_common_unit(radian, degree), common_unit<degree_, radian_>>);
|
|
static_assert(
|
|
is_of_type<get_common_unit(degree_Celsius, degree_Fahrenheit), common_unit<degree_Celsius_, degree_Fahrenheit_>>);
|
|
static_assert(is_of_type<get_common_unit(get_common_unit(degree_Celsius, degree_Fahrenheit),
|
|
get_common_unit(mag_ratio<5, 9>* degree_Celsius, si::milli<kelvin>)),
|
|
decltype(get_common_unit(degree_Fahrenheit, si::milli<kelvin>))>);
|
|
|
|
static_assert(
|
|
is_of_type<get_common_unit(mile, kilometre) / second, derived_unit<common_unit<kilo_<metre_>, mile_>, per<second_>>>);
|
|
|
|
static_assert(
|
|
is_of_type<get_common_unit(kilometre, mile, nautical_mile), common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
static_assert(
|
|
is_of_type<get_common_unit(nautical_mile, mile, kilometre), common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
static_assert(
|
|
is_of_type<get_common_unit(kilometre, nautical_mile, mile), common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
|
|
static_assert(is_of_type<get_common_unit(kilometre, get_common_unit(mile, nautical_mile)),
|
|
common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
static_assert(is_of_type<get_common_unit(nautical_mile, get_common_unit(mile, kilometre)),
|
|
common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
static_assert(is_of_type<get_common_unit(kilometre, get_common_unit(nautical_mile, mile)),
|
|
common_unit<kilo_<metre_>, mile_, nautical_mile_>>);
|
|
|
|
static_assert(is_of_type<get_common_unit(kilometre, mile, kilometre), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(mile, kilometre, kilometre), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(kilometre, mile, mile), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(mile, kilometre, mile), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(is_of_type<get_common_unit(mile, get_common_unit(kilometre, mile)), common_unit<kilo_<metre_>, mile_>>);
|
|
static_assert(
|
|
is_of_type<get_common_unit(kilometre, get_common_unit(kilometre, mile)), common_unit<kilo_<metre_>, mile_>>);
|
|
|
|
static_assert(is_of_type<get_common_unit(kilometre, mile, metre), common_unit<metre_, mile_>>);
|
|
|
|
static_assert(is_of_type<get_common_unit(kilometre, mile, milli<metre>), milli_<metre_>>);
|
|
|
|
// check underlying types
|
|
static_assert(std::derived_from<decltype(get_common_unit(kilometre / hour, metre / second)),
|
|
detail::scaled_unit_impl<mag_ratio<1, 18>, derived_unit<metre_, per<second_>>>>);
|
|
static_assert(std::derived_from<decltype(get_common_unit(metre / second, kilometre / hour)),
|
|
detail::scaled_unit_impl<mag_ratio<1, 18>, derived_unit<metre_, per<second_>>>>);
|
|
static_assert(
|
|
std::derived_from<decltype(get_common_unit(kilometre, mile)), detail::scaled_unit_impl<mag_ratio<8, 125>, metre_>>);
|
|
static_assert(
|
|
std::derived_from<decltype(get_common_unit(mile, kilometre)), detail::scaled_unit_impl<mag_ratio<8, 125>, metre_>>);
|
|
static_assert(std::derived_from<decltype(get_common_unit(kilometre, mile, si::centi<metre>)),
|
|
detail::scaled_unit_impl<mag_ratio<1, 500>, metre_>>);
|
|
|
|
} // namespace
|