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176 lines
6.7 KiB
C++
176 lines
6.7 KiB
C++
// The MIT License (MIT)
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//
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// Copyright (c) 2018 Mateusz Pusz
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in all
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// copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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// SOFTWARE.
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#pragma once
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#include "ranged_representation.h"
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#include <mp_units/bits/fmt_hacks.h>
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#include <mp_units/quantity.h>
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#include <mp_units/systems/isq/space_and_time.h>
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#include <mp_units/systems/si/units.h>
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#include <compare>
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#include <limits>
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#include <numbers>
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#include <ostream>
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namespace geographic {
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template<typename T = double>
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using latitude =
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mp_units::quantity<mp_units::isq::angular_measure[mp_units::si::degree], ranged_representation<T, -90, 90>>;
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template<typename T = double>
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using longitude =
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mp_units::quantity<mp_units::isq::angular_measure[mp_units::si::degree], ranged_representation<T, -180, 180>>;
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template<class CharT, class Traits, typename T>
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std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const latitude<T>& lat)
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{
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if (lat.number() > 0)
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return os << "N" << lat.number();
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else
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return os << "S" << -lat.number();
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}
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template<class CharT, class Traits, typename T>
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std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const longitude<T>& lon)
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{
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if (lon.number() > 0)
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return os << "E" << lon.number();
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else
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return os << "W" << -lon.number();
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}
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inline namespace literals {
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constexpr latitude<long double> operator"" _N(long double v) { return v * mp_units::si::degree; }
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constexpr latitude<long double> operator"" _S(long double v) { return -v * mp_units::si::degree; }
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constexpr longitude<long double> operator"" _E(long double v) { return v * mp_units::si::degree; }
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constexpr longitude<long double> operator"" _W(long double v) { return -v * mp_units::si::degree; }
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constexpr latitude<std::int64_t> operator"" _N(unsigned long long v)
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{
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gsl_ExpectsAudit(std::in_range<std::int64_t>(v));
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return static_cast<std::int64_t>(v) * mp_units::si::degree;
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}
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constexpr latitude<std::int64_t> operator"" _S(unsigned long long v)
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{
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gsl_ExpectsAudit(std::in_range<std::int64_t>(v));
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return -static_cast<std::int64_t>(v) * mp_units::si::degree;
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}
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constexpr longitude<std::int64_t> operator"" _E(unsigned long long v)
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{
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gsl_ExpectsAudit(std::in_range<std::int64_t>(v));
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return static_cast<std::int64_t>(v) * mp_units::si::degree;
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}
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constexpr longitude<std::int64_t> operator"" _W(unsigned long long v)
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{
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gsl_ExpectsAudit(std::in_range<std::int64_t>(v));
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return -static_cast<std::int64_t>(v) * mp_units::si::degree;
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}
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} // namespace literals
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} // namespace geographic
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template<typename T>
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class std::numeric_limits<geographic::latitude<T>> : public numeric_limits<T> {
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static constexpr auto min() noexcept { return geographic::latitude<T>(-90); }
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static constexpr auto lowest() noexcept { return geographic::latitude<T>(-90); }
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static constexpr auto max() noexcept { return geographic::latitude<T>(90); }
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};
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template<typename T>
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class std::numeric_limits<geographic::longitude<T>> : public numeric_limits<T> {
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static constexpr auto min() noexcept { return geographic::longitude<T>(-180); }
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static constexpr auto lowest() noexcept { return geographic::longitude<T>(-180); }
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static constexpr auto max() noexcept { return geographic::longitude<T>(180); }
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};
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template<typename T>
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struct STD_FMT::formatter<geographic::latitude<T>> : formatter<T> {
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template<typename FormatContext>
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auto format(geographic::latitude<T> lat, FormatContext& ctx)
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{
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STD_FMT::format_to(ctx.out(), "{}", lat > geographic::latitude<T>::zero() ? 'N' : 'S');
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return formatter<T>::format(lat > geographic::latitude<T>::zero() ? lat.number() : -lat.number(), ctx);
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}
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};
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template<typename T>
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struct STD_FMT::formatter<geographic::longitude<T>> : formatter<T> {
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template<typename FormatContext>
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auto format(geographic::longitude<T> lon, FormatContext& ctx)
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{
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STD_FMT::format_to(ctx.out(), "{}", lon > geographic::longitude<T>::zero() ? 'E' : 'W');
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return formatter<T>::format(lon > geographic::longitude<T>::zero() ? lon.number() : -lon.number(), ctx);
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}
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};
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namespace geographic {
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using distance = mp_units::quantity<mp_units::isq::distance[mp_units::si::kilo<mp_units::si::metre>]>;
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template<typename T>
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struct position {
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latitude<T> lat;
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longitude<T> lon;
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};
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template<typename T>
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distance spherical_distance(position<T> from, position<T> to)
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{
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using namespace mp_units;
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constexpr auto earth_radius = 6371 * isq::radius[si::kilo<si::metre>];
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constexpr auto p = std::numbers::pi_v<T> / 180;
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const auto lat1_rad = from.lat.number() * p;
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const auto lon1_rad = from.lon.number() * p;
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const auto lat2_rad = to.lat.number() * p;
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const auto lon2_rad = to.lon.number() * p;
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using std::sin, std::cos, std::asin, std::acos, std::sqrt;
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// https://en.wikipedia.org/wiki/Great-circle_distance#Formulae
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if constexpr (sizeof(T) >= 8) {
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// spherical law of cosines
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const auto central_angle =
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acos(sin(lat1_rad) * sin(lat2_rad) + cos(lat1_rad) * cos(lat2_rad) * cos(lon2_rad - lon1_rad));
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// const auto central_angle = 2 * asin(sqrt(0.5 - cos(lat2_rad - lat1_rad) / 2 + cos(lat1_rad) * cos(lat2_rad) * (1
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// - cos(lon2_rad - lon1_rad)) / 2));
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// TODO can we improve the below
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// return quantity_cast<isq::distance>(earth_radius * central_angle);
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return earth_radius.number() * central_angle * isq::distance[earth_radius.unit];
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} else {
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// the haversine formula
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const auto sin_lat = sin((lat2_rad - lat1_rad) / 2);
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const auto sin_lon = sin((lon2_rad - lon1_rad) / 2);
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const auto central_angle = 2 * asin(sqrt(sin_lat * sin_lat + cos(lat1_rad) * cos(lat2_rad) * sin_lon * sin_lon));
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// TODO can we improve the below
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// return quantity_cast<isq::distance>(earth_radius * central_angle);
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return earth_radius.number() * central_angle * isq::distance[earth_radius.unit];
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}
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}
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} // namespace geographic
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