forked from mpusz/mp-units
115 lines
3.7 KiB
C++
115 lines
3.7 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 <mp-units/math.h>
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#include <mp-units/ostream.h>
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#include <mp-units/systems/isq/mechanics.h>
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#include <mp-units/systems/natural/natural.h>
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#include <mp-units/systems/si/constants.h>
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#include <mp-units/systems/si/unit_symbols.h>
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#include <exception>
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#include <iostream>
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template<class T>
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requires mp_units::is_scalar<T>
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inline constexpr bool mp_units::is_vector<T> = true;
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namespace {
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using namespace mp_units;
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QuantityOf<isq::mechanical_energy> auto total_energy(QuantityOf<isq::momentum> auto p, QuantityOf<isq::mass> auto m,
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QuantityOf<isq::speed> auto c)
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{
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return isq::mechanical_energy(sqrt(pow<2>(p * c) + pow<2>(m * pow<2>(c))));
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}
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void si_example()
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{
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using namespace mp_units::si::unit_symbols;
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constexpr auto GeV = si::giga<si::electronvolt>;
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constexpr QuantityOf<isq::speed> auto c = 1. * si::si2019::speed_of_light_in_vacuum;
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auto c2 = pow<2>(c);
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const auto p1 = isq::momentum(4. * GeV / c);
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const QuantityOf<isq::mass> auto m1 = 3. * GeV / c2;
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const auto E = total_energy(p1, m1, c);
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std::cout << "\n*** SI units (c = " << c << " = " << c[si::metre / s] << ") ***\n";
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std::cout << "\n[in `GeV` and `c`]\n"
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<< "p = " << p1 << "\n"
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<< "m = " << m1 << "\n"
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<< "E = " << E << "\n";
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const auto p2 = p1[GeV / (m / s)];
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const auto m2 = m1[GeV / pow<2>(m / s)];
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const auto E2 = total_energy(p2, m2, c)[GeV];
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std::cout << "\n[in `GeV`]\n"
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<< "p = " << p2 << "\n"
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<< "m = " << m2 << "\n"
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<< "E = " << E2 << "\n";
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const auto p3 = p1[kg * m / s];
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const auto m3 = m1[kg];
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const auto E3 = total_energy(p3, m3, c)[J];
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std::cout << "\n[in SI base units]\n"
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<< "p = " << p3 << "\n"
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<< "m = " << m3 << "\n"
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<< "E = " << E3 << "\n";
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std::cout << "\n[converted from SI units back to GeV]\n"
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<< "E = " << value_cast<GeV>(E3) << "\n";
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}
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void natural_example()
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{
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using namespace mp_units::natural;
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using namespace mp_units::natural::unit_symbols;
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constexpr auto c = 1. * speed_of_light;
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const auto p = 4. * momentum[GeV];
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const auto m = 3. * mass[GeV];
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const auto E = total_energy(p, m, c);
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std::cout << "\n*** Natural units (c = " << c << ") ***\n"
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<< "p = " << p << "\n"
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<< "m = " << m << "\n"
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<< "E = " << E << "\n";
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}
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} // namespace
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int main()
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{
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try {
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si_example();
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natural_example();
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} catch (const std::exception& ex) {
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std::cerr << "Unhandled std exception caught: " << ex.what() << '\n';
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} catch (...) {
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std::cerr << "Unhandled unknown exception caught\n";
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}
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}
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