2018-08-22 12:11:19 +02:00
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// 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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2019-09-24 16:59:45 +02:00
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#include "units/math.h"
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2019-12-04 17:46:19 +01:00
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#include "units/physical/si/area.h"
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#include "units/physical/si/frequency.h"
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2020-05-10 17:31:47 +02:00
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#include "units/physical/si/speed.h"
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2020-05-08 21:18:16 +02:00
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#include "units/physical/si/volume.h"
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2020-05-28 20:19:05 +02:00
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#include "units/physical/us/length.h"
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2018-09-28 10:53:21 -07:00
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#include <chrono>
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2019-12-04 17:46:19 +01:00
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#include <utility>
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2018-10-19 13:02:58 +02:00
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2018-09-28 07:47:37 -07:00
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namespace {
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2019-12-04 17:46:19 +01:00
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using namespace units;
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2020-05-08 22:39:24 +02:00
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using namespace units::physical::si;
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2019-12-04 17:46:19 +01:00
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// class invariants
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2020-09-05 21:41:02 -04:00
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template<typename DimLength>
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concept invalid_types = requires
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{
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!requires { typename quantity<DimLength, second, int>; }; // unit of a different dimension
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!requires { typename quantity<DimLength, metre, quantity<DimLength, metre, int>>; }; // quantity used as Rep
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!requires { typename quantity<metre, DimLength, double>; }; // reordered arguments
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};
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static_assert(invalid_types<dim_length>);
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2019-12-04 17:46:19 +01:00
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// member types
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<length<metre, int>::rep, int>);
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static_assert(is_same_v<length<metre, double>::rep, double>);
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static_assert(is_same_v<length<metre, int>::unit, metre>);
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static_assert(is_same_v<length<kilometre, int>::unit, kilometre>);
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2019-12-04 17:46:19 +01:00
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// constructors
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static_assert(length<metre, int>().count() == 0);
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constexpr length<metre, int> km{1000};
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static_assert(km.count() == 1000);
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static_assert(length<metre, int>(km).count() == km.count());
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static_assert(length<metre, int>(1).count() == 1);
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2020-09-05 21:41:02 -04:00
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static_assert(!std::is_constructible_v<length<metre, int>, double>); // truncating conversion
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2019-12-04 17:46:19 +01:00
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static_assert(length<metre, double>(1.0).count() == 1.0);
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static_assert(length<metre, double>(1).count() == 1.0);
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static_assert(length<metre, double>(3.14).count() == 3.14);
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static_assert(length<metre, int>(km).count() == 1000);
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2020-09-05 21:41:02 -04:00
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static_assert(!std::is_constructible_v<length<metre, int>,
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length<metre, double>>); // truncating conversion
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2020-02-17 15:56:06 +01:00
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static_assert(length<metre, double>(1000.0q_m).count() == 1000.0);
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2019-12-04 17:46:19 +01:00
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static_assert(length<metre, double>(km).count() == 1000.0);
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2020-02-17 15:56:06 +01:00
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static_assert(length<metre, int>(1q_km).count() == 1000);
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2020-09-05 21:41:02 -04:00
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static_assert(!std::is_constructible_v<length<metre, int>,
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physical::si::time<second, int>>); // different dimensions
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static_assert(!std::is_constructible_v<length<kilometre, int>,
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length<metre, int>>); // truncating conversion
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2019-12-04 17:46:19 +01:00
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// assignment operator
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2019-12-06 12:18:39 +01:00
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static_assert([]() { length<metre, int> l1(1), l2(2); return l2 = l1; }().count() == 1);
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2019-12-04 17:46:19 +01:00
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// static member functions
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static_assert(length<metre, int>::zero().count() == 0);
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static_assert(length<metre, int>::min().count() == std::numeric_limits<int>::lowest());
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static_assert(length<metre, int>::max().count() == std::numeric_limits<int>::max());
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static_assert(length<metre, double>::zero().count() == 0.0);
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static_assert(length<metre, double>::min().count() == std::numeric_limits<double>::lowest());
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static_assert(length<metre, double>::max().count() == std::numeric_limits<double>::max());
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// unary member operators
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static_assert((+km).count() == 1000);
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static_assert((-km).count() == -1000);
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static_assert((+(-km)).count() == -1000);
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static_assert((-(-km)).count() == 1000);
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static_assert([](auto v) {
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auto vv = v++;
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return std::pair(v, vv);
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}(km) == std::pair(length<metre, int>(1001), length<metre, int>(1000)));
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2019-12-04 17:46:19 +01:00
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static_assert([](auto v) {
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auto vv = ++v;
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2020-09-05 21:41:02 -04:00
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return std::pair(v, vv);
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}(km) == std::pair(length<metre, int>(1001), length<metre, int>(1001)));
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2019-12-04 17:46:19 +01:00
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static_assert([](auto v) {
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auto vv = v--;
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2020-09-05 21:41:02 -04:00
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return std::pair(v, vv);
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}(km) == std::pair(length<metre, int>(999), length<metre, int>(1000)));
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2019-12-04 17:46:19 +01:00
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static_assert([](auto v) {
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auto vv = --v;
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2020-09-05 21:41:02 -04:00
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return std::pair(v, vv);
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}(km) == std::pair(length<metre, int>(999), length<metre, int>(999)));
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2019-12-04 17:46:19 +01:00
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// compound assignment
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2020-02-17 15:56:06 +01:00
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static_assert((1q_m += 1q_m).count() == 2);
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static_assert((2q_m -= 1q_m).count() == 1);
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static_assert((1q_m *= 2).count() == 2);
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static_assert((2q_m /= 2).count() == 1);
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static_assert((7q_m %= 2).count() == 1);
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static_assert((7q_m %= 2q_m).count() == 1);
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2018-09-28 07:47:37 -07:00
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2020-08-16 13:29:40 +02:00
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static_assert((2.5q_m += 3q_m).count() == 5.5);
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static_assert((2.5q_m += 3.5q_m).count() == 6);
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static_assert((2.5q_m *= 3).count() == 7.5);
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static_assert((2.5q_m *= 3.5).count() == 8.75);
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2020-09-05 21:41:02 -04:00
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// operations not allowed for the respective quantities
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template<typename Metre>
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concept invalid_compound_assignments = requires()
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{
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!requires(length<Metre, double> l) { l %= 2.; };
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!requires(length<Metre, double> l) { l %= 2; };
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!requires(length<Metre, int> l) { l %= 2.; };
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!requires(length<Metre, double> l) { l %= 2.q_m; };
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!requires(length<Metre, double> l) { l %= 2q_m; };
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!requires(length<Metre, int> l) { l %= 2.q_m; };
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!requires(length<Metre, int> l) { l += 3.5q_m; };
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!requires(length<Metre, int> l) { l *= 3.5q_m; };
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};
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static_assert(invalid_compound_assignments<metre>);
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2019-12-04 17:46:19 +01:00
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// non-member arithmetic operators
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<decltype(length<metre, int>() + length<metre, double>()), length<metre, double>>);
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static_assert(is_same_v<decltype(length<metre, int>() + length<metre, double>()), length<metre, double>>);
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2019-12-04 17:46:19 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(length<kilometre, int>() + length<metre, double>()), length<metre, double>>);
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static_assert(is_same_v<decltype(length<metre, double>() - length<metre, int>()), length<metre, double>>);
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2019-12-04 17:46:19 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(length<kilometre, double>() - length<metre, int>()), length<metre, double>>);
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static_assert(is_same_v<decltype(length<metre, int>() * 1.0), length<metre, double>>);
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static_assert(is_same_v<decltype(1.0 * length<metre, int>()), length<metre, double>>);
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2019-12-04 17:46:19 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(speed<metre_per_second, int>() * physical::si::time<second, int>()), length<metre, int>>);
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2019-12-06 12:18:39 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(speed<metre_per_second, int>() * physical::si::time<hour, int>()), length<scaled_unit<ratio(36, 1, 2), metre>, int>>);
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static_assert(is_same_v<decltype(length<metre>() * physical::si::time<minute>()),
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2020-09-08 11:02:16 +02:00
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quantity<unknown_dimension<units::exponent<dim_length, 1>, units::exponent<dim_time, 1>>, scaled_unit<ratio(6, 1, 1), unknown_coherent_unit>>>);
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<decltype(1 / physical::si::time<second, int>()), frequency<hertz, int>>);
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static_assert(is_same_v<decltype(1 / physical::si::time<minute, int>()), frequency<scaled_unit<ratio(1, 6, -1), hertz>, int>>);
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static_assert(is_same_v<decltype(1 / frequency<hertz, int>()), physical::si::time<second, int>>);
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static_assert(is_same_v<decltype(1 / length<kilometre>()),
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2020-09-08 11:02:16 +02:00
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quantity<unknown_dimension<units::exponent<dim_length, -1>>, scaled_unit<ratio(1, 1, -3), unknown_coherent_unit>>>);
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<decltype(length<metre, int>() / 1.0), length<metre, double>>);
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2020-09-08 11:02:16 +02:00
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static_assert(is_same_v<decltype(length<metre, int>() / length<metre, double>()), dimensionless<unitless, double>>);
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static_assert(is_same_v<decltype(length<kilometre, int>() / length<metre, double>()), dimensionless<scaled_unit<ratio(1, 1, 3), unitless>, double>>);
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2019-12-04 17:46:19 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(length<metre, int>() / physical::si::time<second, int>()), speed<metre_per_second, int>>);
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2019-12-06 12:18:39 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<decltype(length<metre>() / physical::si::time<minute>()), speed<scaled_unit<ratio(1, 6, -1), metre_per_second>>>);
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static_assert(is_same_v<decltype(physical::si::time<minute>() / length<metre>()),
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2020-09-08 11:02:16 +02:00
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quantity<unknown_dimension<units::exponent<dim_length, -1>, units::exponent<dim_time, 1>>, scaled_unit<ratio(6 ,1 , 1), unknown_coherent_unit>>>);
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<decltype(length<metre, int>() % short(1)), length<metre, int>>);
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static_assert(is_same_v<decltype(length<metre, int>() % length<metre, short>(1)), length<metre, int>>);
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2019-12-04 17:46:19 +01:00
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2020-02-17 15:56:06 +01:00
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static_assert((1q_m + km).count() == 1001);
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static_assert((1q_m + 1q_km).count() == 1001);
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static_assert((km - 1q_m).count() == 999);
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static_assert((1q_km - 1q_m).count() == 999);
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static_assert((2q_m * 2).count() == 4);
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static_assert((3 * 3q_m).count() == 9);
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static_assert((4q_m / 2).count() == 2);
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2020-09-08 11:02:16 +02:00
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static_assert((4q_km / 2q_m).count() == 2);
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static_assert((4000q_m / 2q_m).count() == 2000);
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2020-02-17 15:56:06 +01:00
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static_assert((7q_m % 2).count() == 1);
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static_assert((7q_m % 2q_m).count() == 1);
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static_assert((7q_km % 2000q_m).count() == 1000);
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static_assert((10q_km2 * 10q_km2) / 50q_km2 == 2q_km2);
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2019-12-12 15:39:04 +01:00
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2020-09-08 11:02:16 +02:00
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constexpr auto q1 = 10q_km / 5q_m;
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static_assert(std::is_same_v<decltype(q1), const dimensionless<scaled_unit<ratio(1, 1, 3), unitless>, std::int64_t>>);
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static_assert(q1.count() == 2);
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constexpr dimensionless<unitless> q2 = q1;
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static_assert(q2.count() == 2000);
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static_assert(quantity_cast<unitless>(q1).count() == 2000);
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constexpr auto q3 = 10q_s * 2q_kHz;
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static_assert(std::is_same_v<decltype(q3), const dimensionless<scaled_unit<ratio(1, 1, 3), unitless>, std::int64_t>>);
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static_assert(q3.count() == 20);
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2019-12-04 17:46:19 +01:00
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// comparators
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2020-02-17 15:56:06 +01:00
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static_assert(2q_m + 1q_m == 3q_m);
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static_assert(!(2q_m + 2q_m == 3q_m));
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static_assert(2q_m + 2q_m != 3q_m);
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static_assert(!(2q_m + 2q_m != 4q_m));
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static_assert(2q_m > 1q_m);
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static_assert(!(1q_m > 1q_m));
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static_assert(1q_m < 2q_m);
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static_assert(!(2q_m < 2q_m));
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static_assert(2q_m >= 1q_m);
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static_assert(2q_m >= 2q_m);
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static_assert(!(2q_m >= 3q_m));
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static_assert(1q_m <= 2q_m);
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static_assert(2q_m <= 2q_m);
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static_assert(!(3q_m <= 2q_m));
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static_assert(3q_m == 3.0q_m);
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static_assert(3q_m != 3.14q_m);
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static_assert(2q_m > 1.0q_m);
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static_assert(1.0q_m < 2q_m);
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static_assert(2.0q_m >= 1q_m);
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static_assert(1q_m <= 2.0q_m);
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static_assert(1000q_m == 1q_km);
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static_assert(1001q_m != 1q_km);
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static_assert(1001q_m > 1q_km);
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static_assert(999q_m < 1q_km);
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static_assert(1000q_m >= 1q_km);
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static_assert(1000q_m <= 1q_km);
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2019-12-04 17:46:19 +01:00
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2020-05-08 21:18:16 +02:00
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// alias units
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static_assert(2q_l + 2q_ml == 2002q_ml);
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static_assert(2q_l + 2q_ml == 2002q_cm3);
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static_assert(2q_l + 2q_cm3 == 2002q_ml);
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static_assert(2q_dm3 + 2q_cm3 == 2002q_ml);
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2019-12-04 17:46:19 +01:00
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// is_quantity
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static_assert(Quantity<length<millimetre, int>>);
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// common_quantity
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<common_quantity<length<metre, int>, length<kilometre, int>>, length<metre, int>>);
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2019-12-04 17:46:19 +01:00
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static_assert(
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2020-06-29 20:30:59 +02:00
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is_same_v<common_quantity<length<kilometre, long long>, length<metre, int>>, length<metre, long long>>);
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static_assert(is_same_v<common_quantity<length<kilometre, long long>, length<millimetre, double>>,
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2019-12-04 17:46:19 +01:00
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length<millimetre, double>>);
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2020-05-28 20:19:05 +02:00
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// common_type
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using namespace units::physical::us::literals;
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static_assert(std::equality_comparable<decltype(1q_m)>);
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static_assert(std::equality_comparable_with<decltype(1q_m), decltype(1q_cm)>);
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static_assert(0q_m == 0q_ft_us);
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static_assert(std::equality_comparable_with<decltype(1q_m), decltype(1q_ft_us)>);
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2020-09-09 01:52:15 -04:00
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static_assert(std::equality_comparable_with<dimensionless<unitless>, int>);
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static_assert(std::equality_comparable_with<dimensionless<unitless>, double>);
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static_assert(std::equality_comparable_with<dimensionless<unitless, int>, int>);
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static_assert(!std::equality_comparable_with<dimensionless<unitless, int>, double>);
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2020-05-28 20:19:05 +02:00
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2019-12-04 17:46:19 +01:00
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// quantity_cast
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2020-06-29 20:30:59 +02:00
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static_assert(is_same_v<decltype(quantity_cast<scaled_unit<ratio(1), metre>>(2q_km))::unit, metre>);
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2019-12-04 17:46:19 +01:00
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2020-02-17 15:56:06 +01:00
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static_assert(quantity_cast<length<metre, int>>(2q_km).count() == 2000);
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static_assert(quantity_cast<length<kilometre, int>>(2000q_m).count() == 2);
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static_assert(quantity_cast<length<metre, int>>(1.23q_m).count() == 1);
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static_assert(quantity_cast<metre>(2q_km).count() == 2000);
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static_assert(quantity_cast<kilometre>(2000q_m).count() == 2);
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static_assert(quantity_cast<int>(1.23q_m).count() == 1);
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2019-12-04 17:46:19 +01:00
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2020-09-08 11:02:16 +02:00
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// dimensionless
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static_assert(std::is_convertible_v<double, dimensionless<unitless>>);
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static_assert(std::is_convertible_v<float, dimensionless<unitless>>);
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static_assert(!std::is_convertible_v<double, dimensionless<unitless, int>>);
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static_assert(std::is_convertible_v<int, dimensionless<unitless>>);
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static_assert(!std::is_convertible_v<double, dimensionless<scaled_unit<ratio(1, 1, 1), unitless>>>);
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static_assert(std::is_constructible_v<dimensionless<scaled_unit<ratio(1, 1, 1), unitless>>, double>);
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static_assert(dimensionless<unitless>(1.23) + dimensionless<unitless>(1.23) == dimensionless<unitless>(2.46));
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static_assert(dimensionless<unitless>(1.23) + dimensionless<unitless>(1.23) == 2.46);
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static_assert(dimensionless<unitless>(1.23) + 1.23 == 2.46);
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static_assert(1.23 + dimensionless<unitless>(1.23) == 2.46);
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static_assert(dimensionless<unitless>(1) + 1 == 2);
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static_assert(dimensionless<unitless, int>(1) + 1 == 2);
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template<typename Rep>
|
2020-09-09 02:21:50 -04:00
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concept invalid_dimensionless_operation = requires
|
2020-09-08 11:02:16 +02:00
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{
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!requires(dimensionless<unitless, Rep> d) { d + 1.23; };
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!requires(dimensionless<unitless, Rep> d) { 1.23 + d; };
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!requires(dimensionless<scaled_unit<ratio(1, 1, 1), unitless>, Rep> d) { 1 + d; };
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!requires(dimensionless<scaled_unit<ratio(1, 1, 1), unitless>, Rep> d) { d + 1; };
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|
};
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static_assert(invalid_dimensionless_operation<int>);
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|
2020-09-08 18:45:14 +02:00
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|
static_assert(std::is_same_v<decltype(10q_km / 5q_km), quantity<dim_one, unitless, std::int64_t>>);
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|
2020-09-08 11:02:16 +02:00
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|
static_assert(quantity_cast<percent>(50.q_m / 100.q_m).count() == 50);
|
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|
static_assert(50.q_m / 100.q_m == dimensionless<percent>(50));
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|
2020-09-09 01:52:40 -04:00
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|
static_assert(dimensionless<unitless>(dimensionless<percent>(50)).count() == 0.5);
|
2020-09-08 11:02:16 +02:00
|
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|
|
2019-12-04 17:46:19 +01:00
|
|
|
// time
|
|
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|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(1q_h == 3600q_s);
|
2019-12-04 17:46:19 +01:00
|
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|
|
2020-09-05 21:41:02 -04:00
|
|
|
template<typename Metre>
|
2020-09-06 15:35:08 +02:00
|
|
|
concept no_crossdimensional_equality = !requires { 1q_s == length<Metre, int>(1); };
|
2020-09-05 21:41:02 -04:00
|
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|
|
static_assert(no_crossdimensional_equality<metre>);
|
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|
|
2019-12-04 17:46:19 +01:00
|
|
|
// length
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(1q_km == 1000q_m);
|
|
|
|
static_assert(1q_km + 1q_m == 1001q_m);
|
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|
|
static_assert(10q_km / 5q_km == 2);
|
|
|
|
static_assert(10q_km / 2 == 5q_km);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
2020-05-10 17:31:47 +02:00
|
|
|
// speed
|
2019-12-04 17:46:19 +01:00
|
|
|
|
2020-03-10 20:53:53 +01:00
|
|
|
static_assert(10q_m / 5q_s == 2q_m_per_s);
|
|
|
|
static_assert(10 / 5q_s * 1q_m == 2q_m_per_s);
|
|
|
|
static_assert(1q_km / 1q_s == 1000q_m_per_s);
|
|
|
|
static_assert(2q_km_per_h * 2q_h == 4q_km);
|
|
|
|
static_assert(2q_km / 2q_km_per_h == 1q_h);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
2020-06-29 20:30:59 +02:00
|
|
|
static_assert(is_same_v<decltype(pow<2>(2q_m)), decltype(4q_m2)>);
|
2019-09-24 16:59:45 +02:00
|
|
|
|
2018-09-28 07:47:37 -07:00
|
|
|
} // namespace
|