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wpimath/src/main/native/include/wpi/units/constants.hpp

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+// Copyright (c) FIRST and other WPILib contributors.
+// Open Source Software; you can modify and/or share it under the terms of
+// the WPILib BSD license file in the root directory of this project.
+
+// Copyright (c) 2016 Nic Holthaus
+//
+// The MIT License (MIT)
+//
+// 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.
+
+#pragma once
+
+#include "units/area.h"
+#include "units/capacitance.h"
+#include "units/charge.h"
+#include "units/current.h"
+#include "units/dimensionless.h"
+#include "units/energy.h"
+#include "units/force.h"
+#include "units/impedance.h"
+#include "units/length.h"
+#include "units/magnetic_field_strength.h"
+#include "units/mass.h"
+#include "units/power.h"
+#include "units/substance.h"
+#include "units/temperature.h"
+#include "units/time.h"
+#include "units/velocity.h"
+
+namespace units::constants {
+/**
+ * @name Unit Containers
+ * @anchor constantContainers
+ * @{
+ */
+using PI = unit<std::ratio<1>, dimensionless::scalar, std::ratio<1>>;
+
+static constexpr const unit_t<PI> pi(
+    1);  ///< Ratio of a circle's circumference to its diameter.
+static constexpr const velocity::meters_per_second_t c(
+    299792458.0);  ///< Speed of light in vacuum.
+static constexpr const unit_t<
+    compound_unit<cubed<length::meters>, inverse<mass::kilogram>,
+                  inverse<squared<time::seconds>>>>
+    G(6.67408e-11);  ///< Newtonian constant of gravitation.
+static constexpr const unit_t<compound_unit<energy::joule, time::seconds>> h(
+    6.626070040e-34);  ///< Planck constant.
+static constexpr const unit_t<
+    compound_unit<force::newtons, inverse<squared<current::ampere>>>>
+    mu0(pi * 4.0e-7 * force::newton_t(1) /
+        units::math::cpow<2>(current::ampere_t(1)));  ///< vacuum permeability.
+static constexpr const unit_t<
+    compound_unit<capacitance::farad, inverse<length::meter>>>
+    epsilon0(1.0 / (mu0 * math::cpow<2>(c)));  ///< vacuum permitivity.
+static constexpr const impedance::ohm_t Z0(
+    mu0* c);  ///< characteristic impedance of vacuum.
+static constexpr const unit_t<compound_unit<force::newtons, area::square_meter,
+                                            inverse<squared<charge::coulomb>>>>
+    k_e(1.0 / (4 * pi * epsilon0));  ///< Coulomb's constant.
+static constexpr const charge::coulomb_t e(
+    1.6021766208e-19);  ///< elementary charge.
+static constexpr const mass::kilogram_t m_e(
+    9.10938356e-31);  ///< electron mass.
+static constexpr const mass::kilogram_t m_p(1.672621898e-27);  ///< proton mass.
+static constexpr const unit_t<
+    compound_unit<energy::joules, inverse<magnetic_field_strength::tesla>>>
+mu_B(e* h / (4 * pi * m_e));  ///< Bohr magneton.
+static constexpr const unit_t<inverse<substance::mol>> N_A(
+    6.022140857e23);  ///< Avagadro's Number.
+static constexpr const unit_t<compound_unit<
+    energy::joules, inverse<temperature::kelvin>, inverse<substance::moles>>>
+    R(8.3144598);  ///< Gas constant.
+static constexpr const unit_t<
+    compound_unit<energy::joules, inverse<temperature::kelvin>>>
+    k_B(R / N_A);  ///< Boltzmann constant.
+static constexpr const unit_t<
+    compound_unit<charge::coulomb, inverse<substance::mol>>>
+F(N_A* e);  ///< Faraday constant.
+static constexpr const unit_t<
+    compound_unit<power::watts, inverse<area::square_meters>,
+                  inverse<squared<squared<temperature::kelvin>>>>>
+    sigma((2 * math::cpow<5>(pi) * math::cpow<4>(R)) /
+          (15 * math::cpow<3>(h) * math::cpow<2>(c) *
+           math::cpow<4>(N_A)));  ///< Stefan-Boltzmann constant.
+/** @} */
+}  // namespace units::constants