2018-08-22 12:11:19 +02:00
|
|
|
// 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.
|
|
|
|
|
2019-09-24 16:59:45 +02:00
|
|
|
#include "units/math.h"
|
2019-12-04 17:46:19 +01:00
|
|
|
#include "units/physical/si/area.h"
|
|
|
|
#include "units/physical/si/frequency.h"
|
|
|
|
#include "units/physical/si/velocity.h"
|
2020-05-08 21:18:16 +02:00
|
|
|
#include "units/physical/si/volume.h"
|
2018-09-28 10:53:21 -07:00
|
|
|
#include <chrono>
|
2019-12-04 17:46:19 +01:00
|
|
|
#include <utility>
|
2018-10-19 13:02:58 +02:00
|
|
|
|
2018-09-28 07:47:37 -07:00
|
|
|
namespace {
|
|
|
|
|
2019-12-04 17:46:19 +01:00
|
|
|
using namespace units;
|
2020-05-08 22:39:24 +02:00
|
|
|
using namespace units::physical::si;
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// class invariants
|
|
|
|
|
2019-12-06 12:18:39 +01:00
|
|
|
// constexpr quantity<si::dim_length, second, int> error(0); // should not compile (unit of a different dimension)
|
|
|
|
// constexpr quantity<si::dim_length, metre, quantity<si::dim_length, metre, int>> error(0); // should not compile (quantity used as Rep)
|
|
|
|
// constexpr quantity<metre, si::dim_length, double> error(0); // should not compile (reordered arguments)
|
2019-12-14 21:16:15 +01:00
|
|
|
// constexpr quantity<si::dim_length, scaled_unit<ratio<-1, 1>, metre>, int> error(0); // should not compile (negative unit ratio)
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// member types
|
|
|
|
|
|
|
|
static_assert(std::is_same_v<length<metre, int>::rep, int>);
|
|
|
|
static_assert(std::is_same_v<length<metre, double>::rep, double>);
|
|
|
|
static_assert(std::is_same_v<length<metre, int>::unit, metre>);
|
|
|
|
static_assert(std::is_same_v<length<kilometre, int>::unit, kilometre>);
|
|
|
|
|
|
|
|
// constructors
|
|
|
|
|
|
|
|
static_assert(length<metre, int>().count() == 0);
|
|
|
|
constexpr length<metre, int> km{1000};
|
|
|
|
static_assert(km.count() == 1000);
|
|
|
|
static_assert(length<metre, int>(km).count() == km.count());
|
|
|
|
|
|
|
|
static_assert(length<metre, int>(1).count() == 1);
|
2019-12-06 12:18:39 +01:00
|
|
|
// static_assert(length<metre, int>(1.0).count() == 1); // should not compile (truncating conversion)
|
2019-12-04 17:46:19 +01:00
|
|
|
static_assert(length<metre, double>(1.0).count() == 1.0);
|
|
|
|
static_assert(length<metre, double>(1).count() == 1.0);
|
|
|
|
static_assert(length<metre, double>(3.14).count() == 3.14);
|
|
|
|
|
|
|
|
static_assert(length<metre, int>(km).count() == 1000);
|
2019-12-06 12:18:39 +01:00
|
|
|
// static_assert(length<metre, int>(length<metre, double>(3.14)).count() == 3); // should not compile (truncating conversion)
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(length<metre, double>(1000.0q_m).count() == 1000.0);
|
2019-12-04 17:46:19 +01:00
|
|
|
static_assert(length<metre, double>(km).count() == 1000.0);
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(length<metre, int>(1q_km).count() == 1000);
|
|
|
|
// static_assert(length<metre, int>(1q_s).count() == 1); // should not compile (different dimensions)
|
|
|
|
//static_assert(length<kilometre, int>(1010q_m).count() == 1); // should not compile (truncating conversion)
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// assignment operator
|
|
|
|
|
2019-12-06 12:18:39 +01:00
|
|
|
static_assert([]() { length<metre, int> l1(1), l2(2); return l2 = l1; }().count() == 1);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// static member functions
|
|
|
|
|
|
|
|
static_assert(length<metre, int>::zero().count() == 0);
|
|
|
|
static_assert(length<metre, int>::min().count() == std::numeric_limits<int>::lowest());
|
|
|
|
static_assert(length<metre, int>::max().count() == std::numeric_limits<int>::max());
|
|
|
|
static_assert(length<metre, double>::zero().count() == 0.0);
|
|
|
|
static_assert(length<metre, double>::min().count() == std::numeric_limits<double>::lowest());
|
|
|
|
static_assert(length<metre, double>::max().count() == std::numeric_limits<double>::max());
|
|
|
|
|
|
|
|
// unary member operators
|
|
|
|
|
|
|
|
static_assert((+km).count() == 1000);
|
|
|
|
static_assert((-km).count() == -1000);
|
|
|
|
static_assert((+(-km)).count() == -1000);
|
|
|
|
static_assert((-(-km)).count() == 1000);
|
|
|
|
|
|
|
|
// binary member operators
|
|
|
|
|
|
|
|
static_assert([](auto v) {
|
|
|
|
auto vv = v++;
|
|
|
|
return std::make_pair(v, vv);
|
|
|
|
}(km) == std::make_pair(length<metre, int>(1001), length<metre, int>(1000)));
|
|
|
|
static_assert([](auto v) {
|
|
|
|
auto vv = ++v;
|
|
|
|
return std::make_pair(v, vv);
|
|
|
|
}(km) == std::make_pair(length<metre, int>(1001), length<metre, int>(1001)));
|
|
|
|
static_assert([](auto v) {
|
|
|
|
auto vv = v--;
|
|
|
|
return std::make_pair(v, vv);
|
|
|
|
}(km) == std::make_pair(length<metre, int>(999), length<metre, int>(1000)));
|
|
|
|
static_assert([](auto v) {
|
|
|
|
auto vv = --v;
|
|
|
|
return std::make_pair(v, vv);
|
|
|
|
}(km) == std::make_pair(length<metre, int>(999), length<metre, int>(999)));
|
|
|
|
|
|
|
|
// compound assignment
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert((1q_m += 1q_m).count() == 2);
|
|
|
|
static_assert((2q_m -= 1q_m).count() == 1);
|
|
|
|
static_assert((1q_m *= 2).count() == 2);
|
|
|
|
static_assert((2q_m /= 2).count() == 1);
|
|
|
|
static_assert((7q_m %= 2).count() == 1);
|
|
|
|
static_assert((7q_m %= 2q_m).count() == 1);
|
2019-12-06 12:18:39 +01:00
|
|
|
// static_assert((7.m %= 2.).count() == 1); // should not compile (operation not allowed for floating-point types)
|
|
|
|
// static_assert((7.m %= 2).count() == 1); // should not compile (operation not allowed for floating-point types)
|
2020-02-17 15:56:06 +01:00
|
|
|
// static_assert((7q_m %= 2.).count() == 1); // should not compile (operation not allowed for floating-point types)
|
|
|
|
static_assert((7q_m %= 2q_m).count() == 1);
|
2019-12-06 12:18:39 +01:00
|
|
|
// static_assert((7.m %= 2.m).count() == 1); // should not compile (operation not allowed for floating-point types)
|
2020-02-17 15:56:06 +01:00
|
|
|
// static_assert((7.m %= 2q_m).count() == 1); // should not compile (operation not allowed for floating-point types)
|
|
|
|
// static_assert((7q_m %= 2.m).count() == 1); // should not compile (operation not allowed for floating-point types)
|
2018-09-28 07:47:37 -07:00
|
|
|
|
2019-12-04 17:46:19 +01:00
|
|
|
// non-member arithmetic operators
|
|
|
|
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() + length<metre, double>()), length<metre, double>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() + length<metre, double>()), length<metre, double>>);
|
|
|
|
static_assert(
|
|
|
|
std::is_same_v<decltype(length<kilometre, int>() + length<metre, double>()), length<metre, double>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, double>() - length<metre, int>()), length<metre, double>>);
|
|
|
|
static_assert(
|
|
|
|
std::is_same_v<decltype(length<kilometre, double>() - length<metre, int>()), length<metre, double>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() * 1.0), length<metre, double>>);
|
|
|
|
static_assert(std::is_same_v<decltype(1.0 * length<metre, int>()), length<metre, double>>);
|
|
|
|
static_assert(
|
2020-05-08 22:39:24 +02:00
|
|
|
std::is_same_v<decltype(velocity<metre_per_second, int>() * physical::si::time<second, int>()), length<metre, int>>);
|
2019-12-06 12:18:39 +01:00
|
|
|
static_assert(
|
2020-05-08 22:39:24 +02:00
|
|
|
std::is_same_v<decltype(velocity<metre_per_second, int>() * physical::si::time<hour, int>()), length<scaled_unit<ratio<36, 1, 2>, metre>, int>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre>() * physical::si::time<minute>()),
|
2020-02-22 09:37:40 +01:00
|
|
|
quantity<unknown_dimension<units::exp<dim_length, 1>, units::exp<dim_time, 1>>, scaled_unit<ratio<6, 1, 1>, unknown_coherent_unit>>>);
|
2020-05-08 22:39:24 +02:00
|
|
|
static_assert(std::is_same_v<decltype(1 / physical::si::time<second, int>()), frequency<hertz, int>>);
|
|
|
|
static_assert(std::is_same_v<decltype(1 / physical::si::time<minute, int>()), frequency<scaled_unit<ratio<1, 6, -1>, hertz>, int>>);
|
|
|
|
static_assert(std::is_same_v<decltype(1 / frequency<hertz, int>()), physical::si::time<second, int>>);
|
2019-12-14 11:44:56 +01:00
|
|
|
static_assert(std::is_same_v<decltype(1 / length<kilometre>()),
|
2020-02-22 09:37:40 +01:00
|
|
|
quantity<unknown_dimension<units::exp<dim_length, -1>>, scaled_unit<ratio<1, 1, -3>, unknown_coherent_unit>>>);
|
2019-12-04 17:46:19 +01:00
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() / 1.0), length<metre, double>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() / length<metre, double>()), double>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<kilometre, int>() / length<metre, double>()), double>);
|
|
|
|
static_assert(
|
2020-05-08 22:39:24 +02:00
|
|
|
std::is_same_v<decltype(length<metre, int>() / physical::si::time<second, int>()), velocity<metre_per_second, int>>);
|
2019-12-06 12:18:39 +01:00
|
|
|
static_assert(
|
2020-05-08 22:39:24 +02:00
|
|
|
std::is_same_v<decltype(length<metre>() / physical::si::time<minute>()), velocity<scaled_unit<ratio<1, 6, -1>, metre_per_second>>>);
|
|
|
|
static_assert(std::is_same_v<decltype(physical::si::time<minute>() / length<metre>()),
|
2020-02-22 09:37:40 +01:00
|
|
|
quantity<unknown_dimension<units::exp<dim_length, -1>, units::exp<dim_time, 1>>, scaled_unit<ratio<6 ,1 , 1>, unknown_coherent_unit>>>);
|
2019-12-04 17:46:19 +01:00
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() % short(1)), length<metre, int>>);
|
|
|
|
static_assert(std::is_same_v<decltype(length<metre, int>() % length<metre, short>(1)), length<metre, int>>);
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert((1q_m + km).count() == 1001);
|
|
|
|
static_assert((1q_m + 1q_km).count() == 1001);
|
|
|
|
static_assert((km - 1q_m).count() == 999);
|
|
|
|
static_assert((1q_km - 1q_m).count() == 999);
|
|
|
|
static_assert((2q_m * 2).count() == 4);
|
|
|
|
static_assert((3 * 3q_m).count() == 9);
|
|
|
|
static_assert((4q_m / 2).count() == 2);
|
|
|
|
static_assert(4q_m / 2q_m == 2);
|
|
|
|
static_assert(4q_km / 2000q_m == 2);
|
|
|
|
static_assert((7q_m % 2).count() == 1);
|
|
|
|
static_assert((7q_m % 2q_m).count() == 1);
|
|
|
|
static_assert((7q_km % 2000q_m).count() == 1000);
|
|
|
|
|
|
|
|
static_assert((10q_km2 * 10q_km2) / 50q_km2 == 2q_km2);
|
2019-12-12 15:39:04 +01:00
|
|
|
|
2019-12-04 17:46:19 +01:00
|
|
|
// comparators
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(2q_m + 1q_m == 3q_m);
|
|
|
|
static_assert(!(2q_m + 2q_m == 3q_m));
|
|
|
|
static_assert(2q_m + 2q_m != 3q_m);
|
|
|
|
static_assert(!(2q_m + 2q_m != 4q_m));
|
|
|
|
static_assert(2q_m > 1q_m);
|
|
|
|
static_assert(!(1q_m > 1q_m));
|
|
|
|
static_assert(1q_m < 2q_m);
|
|
|
|
static_assert(!(2q_m < 2q_m));
|
|
|
|
static_assert(2q_m >= 1q_m);
|
|
|
|
static_assert(2q_m >= 2q_m);
|
|
|
|
static_assert(!(2q_m >= 3q_m));
|
|
|
|
static_assert(1q_m <= 2q_m);
|
|
|
|
static_assert(2q_m <= 2q_m);
|
|
|
|
static_assert(!(3q_m <= 2q_m));
|
|
|
|
|
|
|
|
static_assert(3q_m == 3.0q_m);
|
|
|
|
static_assert(3q_m != 3.14q_m);
|
|
|
|
static_assert(2q_m > 1.0q_m);
|
|
|
|
static_assert(1.0q_m < 2q_m);
|
|
|
|
static_assert(2.0q_m >= 1q_m);
|
|
|
|
static_assert(1q_m <= 2.0q_m);
|
|
|
|
|
|
|
|
static_assert(1000q_m == 1q_km);
|
|
|
|
static_assert(1001q_m != 1q_km);
|
|
|
|
static_assert(1001q_m > 1q_km);
|
|
|
|
static_assert(999q_m < 1q_km);
|
|
|
|
static_assert(1000q_m >= 1q_km);
|
|
|
|
static_assert(1000q_m <= 1q_km);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
2020-05-08 21:18:16 +02:00
|
|
|
// alias units
|
|
|
|
|
|
|
|
static_assert(2q_l + 2q_ml == 2002q_ml);
|
|
|
|
static_assert(2q_l + 2q_ml == 2002q_cm3);
|
|
|
|
static_assert(2q_l + 2q_cm3 == 2002q_ml);
|
|
|
|
static_assert(2q_dm3 + 2q_cm3 == 2002q_ml);
|
|
|
|
|
2019-12-04 17:46:19 +01:00
|
|
|
// is_quantity
|
|
|
|
|
|
|
|
static_assert(Quantity<length<millimetre, int>>);
|
|
|
|
|
|
|
|
// common_quantity
|
|
|
|
|
|
|
|
static_assert(std::is_same_v<common_quantity<length<metre, int>, length<kilometre, int>>, length<metre, int>>);
|
|
|
|
static_assert(
|
|
|
|
std::is_same_v<common_quantity<length<kilometre, long long>, length<metre, int>>, length<metre, long long>>);
|
|
|
|
static_assert(std::is_same_v<common_quantity<length<kilometre, long long>, length<millimetre, double>>,
|
|
|
|
length<millimetre, double>>);
|
|
|
|
|
|
|
|
// quantity_cast
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(std::is_same_v<decltype(quantity_cast<scaled_unit<ratio<1>, metre>>(2q_km))::unit, metre>);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(quantity_cast<length<metre, int>>(2q_km).count() == 2000);
|
|
|
|
static_assert(quantity_cast<length<kilometre, int>>(2000q_m).count() == 2);
|
|
|
|
static_assert(quantity_cast<length<metre, int>>(1.23q_m).count() == 1);
|
|
|
|
static_assert(quantity_cast<metre>(2q_km).count() == 2000);
|
|
|
|
static_assert(quantity_cast<kilometre>(2000q_m).count() == 2);
|
|
|
|
static_assert(quantity_cast<int>(1.23q_m).count() == 1);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// time
|
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
// static_assert(1q_s == 1q_m); // should not compile (different dimensions)
|
|
|
|
static_assert(1q_h == 3600q_s);
|
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);
|
|
|
|
static_assert(10q_km / 5q_km == 2);
|
|
|
|
static_assert(10q_km / 2 == 5q_km);
|
2019-12-04 17:46:19 +01:00
|
|
|
|
|
|
|
// velocity
|
|
|
|
|
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
|
|
|
|
2020-02-17 15:56:06 +01:00
|
|
|
static_assert(std::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
|