#ifndef OSMIUM_GEOM_HAVERSINE_HPP #define OSMIUM_GEOM_HAVERSINE_HPP /* This file is part of Osmium (https://osmcode.org/libosmium). Copyright 2013-2022 Jochen Topf and others (see README). Boost Software License - Version 1.0 - August 17th, 2003 Permission is hereby granted, free of charge, to any person or organization obtaining a copy of the software and accompanying documentation covered by this license (the "Software") to use, reproduce, display, distribute, execute, and transmit the Software, and to prepare derivative works of the Software, and to permit third-parties to whom the Software is furnished to do so, all subject to the following: The copyright notices in the Software and this entire statement, including the above license grant, this restriction and the following disclaimer, must be included in all copies of the Software, in whole or in part, and all derivative works of the Software, unless such copies or derivative works are solely in the form of machine-executable object code generated by a source language processor. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ #include #include #include #include #include #include namespace osmium { namespace geom { /** * @brief Functions to calculate arc distance on Earth using the haversine formula. * * See https://en.wikipedia.org/wiki/Haversine_formula * * Implementation derived from * http://blog.julien.cayzac.name/2008/10/arc-and-distance-between-two-points-on.html */ namespace haversine { /// @brief Earth's quadratic mean radius for WGS84 constexpr const double EARTH_RADIUS_IN_METERS = 6372797.560856; /** * Calculate distance in meters between two sets of coordinates. * * @pre @code c1.valid() && c2.valid() @endcode */ inline double distance(const osmium::geom::Coordinates& c1, const osmium::geom::Coordinates& c2) noexcept { double lonh = std::sin(deg_to_rad(c1.x - c2.x) * 0.5); lonh *= lonh; double lath = std::sin(deg_to_rad(c1.y - c2.y) * 0.5); lath *= lath; const double tmp = std::cos(deg_to_rad(c1.y)) * std::cos(deg_to_rad(c2.y)); return 2.0 * EARTH_RADIUS_IN_METERS * std::asin(std::sqrt(lath + tmp * lonh)); } /** * Calculate length of way. */ inline double distance(const osmium::WayNodeList& wnl) { double sum_length = 0; for (const auto* it = wnl.begin(); it != wnl.end(); ++it) { if (std::next(it) != wnl.end()) { sum_length += distance(it->location(), std::next(it)->location()); } } return sum_length; } /** * Calculate length of node list. */ inline double distance(const osmium::NodeRefList& nrl) { double sum_length = 0; for (const auto* it = nrl.begin(); it != nrl.end(); ++it) { if (std::next(it) != nrl.end()) { sum_length += distance(it->location(), std::next(it)->location()); } } return sum_length; } } // namespace haversine } // namespace geom } // namespace osmium #endif // OSMIUM_GEOM_HAVERSINE_HPP