💿🐜 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_MATH_PROJECTION_HPP
#define ANTKEEPER_MATH_PROJECTION_HPP
#include <cmath>
namespace math {
/**
* Calculates a horizontal FoV given a vertical FoV and aspect ratio.
*
* @param v Vertical FoV, in radians.
* @param r Ratio of width to height.
*
* @return Horizontal FoV, in radians.
*
* @see https://en.wikipedia.org/wiki/Field_of_view_in_video_games
*/
template <class T>
T horizontal_fov(T v, T r)
{
return T{2} * std::atan(std::tan(v * T{0.5}) * r);
}
/**
* Calculates a vertical FoV given a horizontal FoV and aspect ratio.
*
* @param h Horizontal FoV, in radians.
* @param r Ratio of width to height.
*
* @return Vertical FoV, in radians.
*
* @see https://en.wikipedia.org/wiki/Field_of_view_in_video_games
*/
template <class T>
T vertical_fov(T h, T r)
{
return T{2} * std::atan(std::tan(h * T{0.5}) / r);
}
} // namespace math
#endif // ANTKEEPER_MATH_PROJECTION_HPP