💿🐜 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_GEOM_CARTESIAN_HPP
#define ANTKEEPER_GEOM_CARTESIAN_HPP
#include "utility/fundamental-types.hpp"
#include <cmath>
namespace geom {
/// Functions which operate on Cartesian (rectangular) coordinates.
namespace cartesian {
/**
* Converts Cartesian (rectangular) coordinates to spherical coordinates.
*
* @param v Cartesian coordinates.
* @return Spherical coordinates, in the ISO order of radial distance, polar angle (radians), and azimuthal angle (radians).
*
* @see geom::coordinates::spherical
*/
template <class T>
math::vector3<T> to_spherical(const math::vector3<T>& v);
template <class T>
math::vector3<T> to_spherical(const math::vector3<T>& v)
{
const T xx_yy = v.x * v.x + v.y * v.y;
return math::vector3<T>
{
std::sqrt(xx_yy + v.z * v.z),
std::atan2(v.z, std::sqrt(xx_yy)),
std::atan2(v.y, v.x)
};
}
} // namespace cartesian
} // namespace geom
#endif // ANTKEEPER_GEOM_CARTESIAN_HPP