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Mateusz Pusz
95 lines
5.1 KiB
C++
95 lines
5.1 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/compat_macros.h>
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#include <mp-units/framework.h>
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#include <mp-units/math.h> // IWYU pragma: keep
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#include <mp-units/systems/isq/electromagnetism.h>
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#include <mp-units/systems/isq/mechanics.h>
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#include <mp-units/systems/isq/si_quantities.h>
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#include <mp-units/systems/isq/space_and_time.h>
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#include <mp-units/systems/si/prefixes.h>
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#include <mp-units/systems/si/units.h>
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namespace {
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using namespace mp_units;
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// ************************ exponent with denominator 2 (square root) ************************
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// amplitude/power spectral density (e.g. nV/√Hz): dimension carries T^(1/2)
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QUANTITY_SPEC(power_spectral_density, pow<2>(isq::voltage) / isq::frequency);
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QUANTITY_SPEC(amplitude_spectral_density, sqrt(power_spectral_density));
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static_assert(implicitly_convertible(sqrt(power_spectral_density), amplitude_spectral_density));
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static_assert(implicitly_convertible(power_spectral_density, pow<2>(amplitude_spectral_density)));
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static_assert(sqrt(power_spectral_density).dimension == amplitude_spectral_density.dimension);
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static_assert(power_spectral_density.dimension == pow<2>(amplitude_spectral_density.dimension));
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static_assert(sqrt(square(si::volt) / si::hertz) == si::volt / sqrt(si::hertz));
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static_assert(square(si::volt) / si::hertz == pow<2>(si::volt / sqrt(si::hertz)));
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constexpr auto sqrt_res = sqrt(power_spectral_density[square(si::volt) / si::hertz]);
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static_assert(implicitly_convertible(get_quantity_spec(sqrt_res), amplitude_spectral_density));
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static_assert(get_unit(sqrt_res) == si::volt / sqrt(si::hertz));
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constexpr auto pow_res = pow<2>(amplitude_spectral_density[si::volt / sqrt(si::hertz)]);
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static_assert(implicitly_convertible(power_spectral_density, get_quantity_spec(pow_res)));
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static_assert(square(si::volt) / si::hertz == get_unit(pow_res));
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#if __cpp_lib_constexpr_cmath || MP_UNITS_COMP_GCC
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static_assert(sqrt(16 * power_spectral_density[square(si::volt) / si::hertz]) ==
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4 * amplitude_spectral_density[si::volt / sqrt(si::hertz)]);
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static_assert(16 * power_spectral_density[square(si::volt) / si::hertz] ==
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pow<2>(4 * amplitude_spectral_density[si::volt / sqrt(si::hertz)]));
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#endif
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// fracture toughness K = stress * sqrt(length) (e.g. MPa·√m): dimension M L^(-1/2) T^-2
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QUANTITY_SPEC(fracture_toughness, isq::pressure* sqrt(isq::length));
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static_assert(fracture_toughness.dimension == isq::pressure.dimension * sqrt(isq::length.dimension));
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static_assert(pow<2>(fracture_toughness).dimension == pow<2>(isq::pressure.dimension) * isq::length.dimension);
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static_assert(implicitly_convertible(sqrt(pow<2>(fracture_toughness)), fracture_toughness));
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static_assert(implicitly_convertible(pow<2>(fracture_toughness), pow<2>(isq::pressure) * isq::length));
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static_assert(dimension_symbol(fracture_toughness.dimension) == "ML^-(1/2)T⁻²");
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static_assert(pow<2>(si::mega<si::pascal> * sqrt(si::metre)) == pow<2>(si::mega<si::pascal>) * si::metre);
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static_assert(unit_symbol(si::mega<si::pascal> * sqrt(si::metre)) == "MPa m^(1/2)");
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// ************************ exponent with denominator 3 (cube root) ************************
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// Manning's roughness coefficient n = length^(2/3) / speed (e.g. s·m^(-1/3)): dimension T L^(-1/3).
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// The denominator is 3 (not 2), so this exercises code paths that must not assume square roots.
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QUANTITY_SPEC(manning_roughness_coefficient, pow<2, 3>(isq::length) / isq::speed);
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static_assert(manning_roughness_coefficient.dimension == pow<2, 3>(isq::length.dimension) / isq::speed.dimension);
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static_assert(pow<3>(manning_roughness_coefficient).dimension ==
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pow<2>(isq::length.dimension) / pow<3>(isq::speed.dimension));
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static_assert(implicitly_convertible(cbrt(pow<3>(manning_roughness_coefficient)), manning_roughness_coefficient));
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static_assert(dimension_symbol(manning_roughness_coefficient.dimension) == "TL^-(1/3)");
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static_assert(pow<3>(si::second / cbrt(si::metre)) == pow<3>(si::second) / si::metre);
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static_assert(unit_symbol(si::second / cbrt(si::metre)) == "s/m^(1/3)");
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} // namespace
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