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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_COORDINATES_EQUATORIAL_HPP
- #define ANTKEEPER_COORDINATES_EQUATORIAL_HPP
-
- #include "coordinates/rectangular.hpp"
- #include "coordinates/spherical.hpp"
- #include "utility/fundamental-types.hpp"
- #include <cmath>
-
- namespace coordinates {
-
- namespace rectangular {
-
- /// Rectangular coordinate system with the Earth's equator as the fundamental plane. This is a right-handed coordinate system with the x-axis pointing to the vernal equinox, the y-axis pointing east, and the z-axis is the north celestial pole.
- namespace equatorial {
-
- /**
- * Produces a matrix which rotates rectangular coordinates from equatorial space into ecliptic space.
- *
- * @param ecl Obliquity of the ecliptic, in radians.
- * @return Rotation matrix.
- *
- * @see coordinates::ecliptic
- */
- template <class T>
- math::matrix3<T> to_ecliptic(T ecl);
-
- /**
- * Rotates rectangular coordinates from equatorial space into ecliptic space.
- *
- * @param v Rectangular coordinates in equatorial space.
- * @param ecl Obliquity of the ecliptic, in radians.
- * @return Rectangular coordinates in ecliptic space.
- *
- * @see coordinates::ecliptic
- */
- template <class T>
- math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl);
-
- /**
- * Produces a matrix which rotates rectangular coordinates from equatorial space into local horizontal space.
- *
- * @param lat Observer's latitude, in radians.
- * @param lst Local sidereal time, in radians.
- * @return Rotation matrix.
- *
- * @see coordinates::horizontal
- */
- template <class T>
- math::matrix3<T> to_horizontal(T lat, T lst);
-
- /**
- * Rotates rectangular coordinates from equatorial space into local horizontal space.
- *
- * @param v Rectangular coordinates in equatorial space.
- * @param lat Observer's latitude, in radians.
- * @param lst Local sidereal time, in radians.
- * @return Rectangular coordinates in local horizontal space.
- *
- * @see coordinates::horizontal
- */
- template <class T>
- math::vector3<T> to_horizontal(const math::vector3<T>& v, T lat, T lst);
-
- } // namespace equatorial
-
- } // namespace rectangular
-
- namespace spherical {
-
- /// Spherical equatorial coordinate system.
- namespace equatorial {
-
- /**
- * Rotates spherical coordinates from equatorial space into ecliptic space.
- *
- * @param v Spherical coordinates in equatorial space, in the ISO order of radial distance, declination (radians), and right ascension (radians).
- * @param ecl Obliquity of the ecliptic, in radians.
- * @return Spherical coordinates in ecliptic space, in the ISO order of radial distance, ecliptic latitude (radians), and ecliptic longitude (radians).
- *
- * @see coordinates::ecliptic
- */
- template <class T>
- math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl);
-
- /**
- * Rotates spherical coordinates from equatorial space into local horizontal space.
- *
- * @param v Spherical coordinates in equatorial space, in the ISO order of radial distance, declination (radians), and right ascension (radians).
- * @param lat Observer's latitude, in radians.
- * @param lst Local sidereal time, in radians.
- * @return Spherical coordinates in local horizontal space, in the ISO order of radial distance, altitude (radians), and azimuth (radians).
- *
- * @see coordinates::horizontal
- */
- template <class T>
- math::vector3<T> to_horizontal(const math::vector3<T>& v, T lat, T lst);
-
- } // namespace equatorial
-
- } // namespace spherical
-
- namespace rectangular {
-
- namespace equatorial {
-
- template <class T>
- math::matrix3<T> to_ecliptic(T ecl)
- {
- const T c_ecl = std::cos(ecl);
- const T s_ecl = std::sin(ecl);
-
- return math::matrix3<T>
- {
- T(1.0), T(0.0), T(0.0),
- T(0.0), c_ecl, -s_ecl,
- T(0.0), s_ecl, c_ecl
- };
- }
-
- template <class T>
- math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl)
- {
- return to_ecliptic(ecl) * v;
- }
-
- template <class T>
- math::matrix3<T> to_horizontal(T lat, T lst)
- {
- const T c_lat = std::cos(lat);
- const T s_lat = std::sin(lat);
- const T c_lst = std::cos(lst);
- const T s_lst = std::sin(lst);
-
- return math::matrix3<T>
- {
- s_lat * c_lst, s_lst, c_lat * c_lst,
- s_lat * s_lst, -c_lst, c_lat * s_lst,
- -c_lat, T(0.0), s_lat
- };
- }
-
- template <class T>
- math::vector3<T> to_horizontal(const math::vector3<T>& v, T lat, T lst)
- {
- return to_horizontal(lat, lst) * v;
- }
-
- } // namespace equatorial
-
- } // namespace rectangular
-
- namespace spherical {
-
- namespace equatorial {
-
- template <class T>
- math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl)
- {
- return coordinates::rectangular::to_spherical<T>
- (
- coordinates::rectangular::equatorial::to_ecliptic<T>
- (
- coordinates::spherical::to_rectangular<T>(v),
- ecl
- )
- );
- }
-
- template <class T>
- math::vector3<T> to_horizontal(const math::vector3<T>& v, T lat, T lst)
- {
- return coordinates::rectangular::to_spherical<T>
- (
- coordinates::rectangular::equatorial::to_horizontal<T>
- (
- coordinates::spherical::to_rectangular<T>(v),
- lat,
- lst
- )
- );
- }
-
- } // namepace equatorial
-
- } // namespace spherical
-
- } // namespace coordinates
-
- #endif // ANTKEEPER_COORDINATES_EQUATORIAL_HPP
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