💿🐜 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_LUMINOSITY_HPP
#define ANTKEEPER_PHYSICS_LIGHT_LUMINOSITY_HPP
#include <cmath>
namespace physics {
namespace light {
/// Luminous efficiency functions.
namespace luminosity {
/**
* Fitted Gaussian approximation to the CIE 1931 standard observer photopic luminosity function.
*
* @param lambda Wavelength of light, in nanometers.
* @return Luminous efficiency, on `[0, 1]`.
*
* @see Wyman, C., Sloan, P.J., & Shirley, P. (2013). Simple Analytic Approximations to the CIE XYZ Color Matching Functions.
*/
template <class T>
T photopic(T lambda)
{
const T t0 = (lambda - T(568.8)) * ((lambda < T(568.8)) ? T(0.0213) : T(0.0247));
const T t1 = (lambda - T(530.9)) * ((lambda < T(530.9)) ? T(0.0613) : T(0.0322));
const T y0 = T(0.821) * std::exp(T(-0.5) * t0 * t0);
const T y1 = T(0.286) * std::exp(T(-0.5) * t1 * t1);
return y0 + y1;
}
} // namespace luminosity
} // namespace light
} // namespace physics
#endif // ANTKEEPER_PHYSICS_LIGHT_LUMINOSITY_HPP