💿🐜 Antkeeper source code https://antkeeper.com
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/*
* Copyright (C) 2020 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/>.
*/
#include "celestial-coordinates.hpp"
#include <cmath>
namespace ast
{
double3 rectangular_to_spherical(const double3& rectangular)
{
const double xx_yy = rectangular.x * rectangular.x + rectangular.y * rectangular.y;
return double3
{
std::sqrt(xx_yy + rectangular.z * rectangular.z),
std::atan2(rectangular.z, std::sqrt(xx_yy)),
std::atan2(rectangular.y, rectangular.x)
};
}
double3 spherical_to_rectangular(const double3& spherical)
{
return double3
{
spherical[0] * std::sin(spherical[1]) * std::cos(spherical[2]),
spherical[0] * std::sin(spherical[1]) * std::sin(spherical[2]),
spherical[0] * std::cos(spherical[1]),
};
}
double3x3 ecliptic_to_equatorial(double ecl)
{
const double c_ecl = std::cos(ecl);
const double s_ecl = std::sin(ecl);
return double3x3
{
1.0, 0.0, 0.0,
0.0, c_ecl, s_ecl,
0.0, -s_ecl, c_ecl
};
}
double3x3 ecliptic_to_horizontal(double ecl, double lat, double lmst)
{
const double c_ecl = std::cos(ecl);
const double s_ecl = std::sin(ecl);
const double c_lat = std::cos(lat);
const double s_lat = std::sin(lat);
const double c_lst = std::cos(lmst);
const double s_lst = std::sin(lmst);
return double3x3
{
s_lat * c_lst, s_lst, c_lat * c_lst,
s_lat * s_lst * c_ecl - c_lat * s_ecl, -c_lst * c_ecl, c_lat * s_lst * c_ecl + s_lat * s_ecl,
s_lat * s_lst * -s_ecl - c_lat * c_ecl, c_lst * s_ecl, c_lat * s_lst * -s_ecl + s_lat * c_ecl
};
}
double3x3 equatorial_to_ecliptic(double ecl)
{
const double c_ecl = std::cos(ecl);
const double s_ecl = std::sin(ecl);
return double3x3
{
1.0, 0.0, 0.0,
0.0, c_ecl, -s_ecl,
0.0, s_ecl, c_ecl
};
}
double3x3 equatorial_to_horizontal(double lat, double lmst)
{
const double c_lat = std::cos(lat);
const double s_lat = std::sin(lat);
const double c_lst = std::cos(lmst);
const double s_lst = std::sin(lmst);
return double3x3
{
s_lat * c_lst, s_lst, c_lat * c_lst,
s_lat * s_lst, -c_lst, c_lat * s_lst,
-c_lat, 0.0, s_lat
};
}
double3x3 horizontal_to_equatorial(double lat, double lmst)
{
const double c_lat = std::cos(lat);
const double s_lat = std::sin(lat);
const double c_lst = std::cos(lmst);
const double s_lst = std::sin(lmst);
return double3x3
{
c_lst * s_lat, s_lst * s_lat, -c_lat,
s_lst, c_lst, 0.0,
c_lst * c_lat, s_lst * c_lat, s_lat
};
}
double3x3 horizontal_to_ecliptic(double ecl, double lat, double lmst)
{
const double c_ecl = std::cos(ecl);
const double s_ecl = std::sin(ecl);
const double c_lat = std::cos(lat);
const double s_lat = std::sin(lat);
const double c_lst = std::cos(lmst);
const double s_lst = std::sin(lmst);
return double3x3
{
s_lat * c_lst, s_lat * s_lst * c_ecl - c_lat * s_ecl, s_lat * s_lst * -s_ecl - c_lat * c_ecl,
s_lst, -c_lst * c_ecl, c_lst * s_ecl,
c_lat * c_lst, c_lat * s_lst * c_ecl + s_lat * s_ecl, c_lat * s_lst * -s_ecl + s_lat * c_ecl
};
}
} // namespace ast