/*
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* Copyright (C) 2021 Christopher J. Howard
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*
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* This file is part of Antkeeper source code.
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*
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* Antkeeper source code is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Antkeeper source code is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include "coordinates.hpp"
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#include <cmath>
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namespace astro
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{
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double3 rectangular_to_spherical(const double3& rectangular)
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{
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const double xx_yy = rectangular.x * rectangular.x + rectangular.y * rectangular.y;
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return double3
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{
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std::sqrt(xx_yy + rectangular.z * rectangular.z),
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std::atan2(rectangular.z, std::sqrt(xx_yy)),
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std::atan2(rectangular.y, rectangular.x)
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};
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}
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double3 spherical_to_rectangular(const double3& spherical)
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{
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return double3
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{
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spherical[0] * std::cos(spherical[1]) * std::cos(spherical[2]),
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spherical[0] * std::cos(spherical[1]) * std::sin(spherical[2]),
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spherical[0] * std::sin(spherical[1]),
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};
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}
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double3x3 ecliptic_to_equatorial(double ecl)
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{
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const double c_ecl = std::cos(ecl);
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const double s_ecl = std::sin(ecl);
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return double3x3
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{
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1.0, 0.0, 0.0,
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0.0, c_ecl, s_ecl,
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0.0, -s_ecl, c_ecl
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};
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}
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double3x3 ecliptic_to_horizontal(double ecl, double lat, double lst)
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{
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const double c_ecl = std::cos(ecl);
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const double s_ecl = std::sin(ecl);
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const double c_lat = std::cos(lat);
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const double s_lat = std::sin(lat);
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const double c_lst = std::cos(lst);
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const double s_lst = std::sin(lst);
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return double3x3
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{
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s_lat * c_lst, s_lst, c_lat * c_lst,
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s_lat * s_lst * c_ecl - c_lat * s_ecl, -c_lst * c_ecl, c_lat * s_lst * c_ecl + s_lat * s_ecl,
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s_lat * s_lst * -s_ecl - c_lat * c_ecl, c_lst * s_ecl, c_lat * s_lst * -s_ecl + s_lat * c_ecl
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};
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}
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double3x3 equatorial_to_ecliptic(double ecl)
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{
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const double c_ecl = std::cos(ecl);
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const double s_ecl = std::sin(ecl);
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return double3x3
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{
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1.0, 0.0, 0.0,
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0.0, c_ecl, -s_ecl,
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0.0, s_ecl, c_ecl
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};
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}
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double3x3 equatorial_to_horizontal(double lat, double lst)
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{
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const double c_lat = std::cos(lat);
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const double s_lat = std::sin(lat);
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const double c_lst = std::cos(lst);
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const double s_lst = std::sin(lst);
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return double3x3
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{
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s_lat * c_lst, s_lst, c_lat * c_lst,
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s_lat * s_lst, -c_lst, c_lat * s_lst,
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-c_lat, 0.0, s_lat
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};
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}
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double3x3 horizontal_to_equatorial(double lat, double lst)
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{
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const double c_lat = std::cos(lat);
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const double s_lat = std::sin(lat);
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const double c_lst = std::cos(lst);
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const double s_lst = std::sin(lst);
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return double3x3
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{
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c_lst * s_lat, s_lst * s_lat, -c_lat,
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s_lst, c_lst, 0.0,
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c_lst * c_lat, s_lst * c_lat, s_lat
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};
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}
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double3x3 horizontal_to_ecliptic(double ecl, double lat, double lst)
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{
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const double c_ecl = std::cos(ecl);
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const double s_ecl = std::sin(ecl);
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const double c_lat = std::cos(lat);
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const double s_lat = std::sin(lat);
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const double c_lst = std::cos(lst);
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const double s_lst = std::sin(lst);
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return double3x3
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{
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s_lat * c_lst, s_lat * s_lst * c_ecl - c_lat * s_ecl, s_lat * s_lst * -s_ecl - c_lat * c_ecl,
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s_lst, -c_lst * c_ecl, c_lst * s_ecl,
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c_lat * c_lst, c_lat * s_lst * c_ecl + s_lat * s_ecl, c_lat * s_lst * -s_ecl + s_lat * c_ecl
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};
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}
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} // namespace astro
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