💿🐜 Antkeeper source code
https://antkeeper.com
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220 lines
6.6 KiB
220 lines
6.6 KiB
/*
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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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#ifndef ANTKEEPER_COORDINATES_HORIZONTAL_HPP
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#define ANTKEEPER_COORDINATES_HORIZONTAL_HPP
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#include "coordinates/rectangular.hpp"
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#include "coordinates/spherical.hpp"
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#include "utility/fundamental-types.hpp"
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#include <cmath>
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namespace coordinates {
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namespace rectangular {
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/// Rectangular local horizontal coordinate system in which the x-axis points north, the y-axis points east, and the z-axis points to the vertical.
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namespace horizontal {
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/**
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* Produces a matrix which rotates rectangular coordinates from local horizontal space into equatorial space.
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*
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Rotation matrix.
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*
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* @see coordinates::rectangular::equatorial
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*/
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template <class T>
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math::matrix3<T> to_equatorial(T lat, T lst);
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/**
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* Rotates rectangular coordinates from local horizontal space into equatorial space.
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*
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* @param v Rectangular coordinates in local horizontal space.
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Rectangular coordinates in equatorial space.
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*
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* @see coordinates::rectangular::equatorial
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*/
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template <class T>
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math::vector3<T> to_equatorial(const math::vector3<T>& v, T lat, T lst);
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/**
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* Produces a matrix which rotates rectangular coordinates from local horizontal space into ecliptic space.
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*
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* @param ecl Obliquity of the ecliptic, in radians.
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Rotation matrix.
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*
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* @see coordinates::rectangular::ecliptic
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*/
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template <class T>
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math::matrix3<T> to_ecliptic(T ecl, T lat, T lst);
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/**
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* Rotates rectangular coordinates from local horizontal space into ecliptic space.
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*
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* @param v Rectangular coordinates in local horizontal space.
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* @param ecl Obliquity of the ecliptic, in radians.
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Rectangular coordinates in ecliptic space.
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*
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* @see coordinates::rectangular::ecliptic
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*/
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template <class T>
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math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl, T lat, T lst);
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} // namespace horizontal
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} // namespace rectangular
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namespace spherical {
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/// Spherical local horizontal coordinate system.
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namespace horizontal {
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/**
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* Rotates spherical coordinates from local horizontal space into equatorial space.
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*
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* @param v Spherical coordinates in local horizontal space, in the ISO order of radial distance, altitude (radians), and azimuth (radians).
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Spherical coordinates in equatorial space, in the ISO order of radial distance, declination (radians), and right ascension (radians).
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*
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* @see coordinates::spherical::equatorial
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*/
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template <class T>
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math::vector3<T> to_equatorial(const math::vector3<T>& v, T lat, T lst);
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/**
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* Rotates spherical coordinates from local horizontal space into ecliptic space.
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*
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* @param v Spherical coordinates in local horizontal space, in the ISO order of radial distance, altitude (radians), and azimuth (radians).
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* @param ecl Obliquity of the ecliptic, in radians.
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* @param lat Observer's latitude, in radians.
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* @param lst Local sidereal time, in radians.
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* @return Spherical coordinates in ecliptic space, in the ISO order of radial distance, ecliptic latitude (radians), and ecliptic longitude (radians).
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*
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* @see coordinates::spherical::ecliptic
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*/
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template <class T>
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math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl, T lat, T lst);
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} // namespace horizontal
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} // namespace spherical
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namespace rectangular {
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namespace horizontal {
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template <class T>
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math::matrix3<T> to_equatorial(T lat, T lst)
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{
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const T c_lat = std::cos(lat);
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const T s_lat = std::sin(lat);
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const T c_lst = std::cos(lst);
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const T s_lst = std::sin(lst);
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return math::matrix3<T>
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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, T(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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template <class T>
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math::vector3<T> to_equatorial(const math::vector3<T>& v, T lat, T lst)
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{
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return to_equatorial<T>(lat, lst) * v;
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}
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template <class T>
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math::matrix3<T> to_ecliptic(T ecl, T lat, T lst)
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{
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const T c_ecl = std::cos(ecl);
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const T s_ecl = std::sin(ecl);
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const T c_lat = std::cos(lat);
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const T s_lat = std::sin(lat);
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const T c_lst = std::cos(lst);
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const T s_lst = std::sin(lst);
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return math::matrix3<T>
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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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template <class T>
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math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl, T lat, T lst)
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{
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return to_ecliptic<T>(ecl, lat, lst) * v;
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}
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} // namespace horizontal
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} // namespace rectangular
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namespace spherical {
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namespace horizontal {
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template <class T>
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math::vector3<T> to_equatorial(const math::vector3<T>& v, T lat, T lst)
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{
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return coordinates::rectangular::to_spherical<T>
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(
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coordinates::rectangular::horizontal::to_equatorial<T>
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(
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coordinates::spherical::to_rectangular<T>(v),
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lat,
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lst
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)
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);
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}
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template <class T>
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math::vector3<T> to_ecliptic(const math::vector3<T>& v, T ecl, T lat, T lst)
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{
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return coordinates::rectangular::to_spherical<T>
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(
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coordinates::rectangular::horizontal::to_ecliptic<T>
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(
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coordinates::spherical::to_rectangular<T>(v),
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ecl,
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lat,
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lst
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)
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);
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}
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} // namespace horizontal
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} // namespace spherical
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} // namespace coordinates
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#endif // ANTKEEPER_COORDINATES_HORIZONTAL_HPP
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