💿🐜 Antkeeper source code https://antkeeper.com
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/*
* Copyright (C) 2021 Christopher J. Howard
*
* This file is part of Antkeeper source code.
*
* Antkeeper source code is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Antkeeper source code is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ANTKEEPER_PHYSICS_LIGHT_VMAG_HPP
#define ANTKEEPER_PHYSICS_LIGHT_VMAG_HPP
#include <cmath>
namespace physics {
namespace light {
/// Apparent (visual) magnitude functions.
namespace vmag {
/**
* Converts apparent magnitude to a brightness factor relative to a 0th magnitude star.
*
* @param mv Apparent magnitude.
* @return Brightness factor relative to a 0th magnitude star.
*
* @see https://en.wikipedia.org/wiki/Illuminance
*/
template <class T>
T to_brightness(T mv)
{
// 100^(1/5)
static constexpr double fifth_root_100 = 2.5118864315095801110850320677993;
return std::pow(fifth_root_100, -mv);
}
/**
* Converts apparent magnitude to illuminance.
*
* @param mv Apparent magnitude.
* @return Illuminance, in lux.
*
* @see https://en.wikipedia.org/wiki/Illuminance
*/
template <class T>
T to_illuminance(T mv)
{
return std::pow(10.0, (-14.18 - mv) * 0.4);
}
/**
* Converts illuminance to apparent magnitude.
*
* @param ev Illuminance, in lux.
* @return Apparent magnitude.
*
* @see https://en.wikipedia.org/wiki/Illuminance
*/
template <class T>
T from_illuminance(T ev)
{
return -14.18 - 2.5 * std::log10(ev);
}
} // namespace vmag
} // namespace light
} // namespace physics
#endif // ANTKEEPER_PHYSICS_LIGHT_VMAG_HPP