forked from mpusz/mp-units
184 lines
6.6 KiB
C++
184 lines
6.6 KiB
C++
// The MIT License (MIT)
|
|
//
|
|
// Copyright (c) 2018 Mateusz Pusz
|
|
//
|
|
// Permission is hereby granted, free of charge, to any person obtaining a copy
|
|
// of this software and associated documentation files (the "Software"), to deal
|
|
// in the Software without restriction, including without limitation the rights
|
|
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
|
// copies of the Software, and to permit persons to whom the Software is
|
|
// furnished to do so, subject to the following conditions:
|
|
//
|
|
// The above copyright notice and this permission notice shall be included in all
|
|
// copies or substantial portions of the Software.
|
|
//
|
|
// 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 AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
|
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
|
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
|
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
|
// SOFTWARE.
|
|
|
|
#pragma once
|
|
|
|
#include "ranged_representation.h"
|
|
#include <mp-units/bits/fmt_hacks.h>
|
|
#include <mp-units/format.h>
|
|
#include <mp-units/math.h>
|
|
#include <mp-units/quantity.h>
|
|
#include <mp-units/quantity_point.h>
|
|
#include <mp-units/systems/isq/space_and_time.h>
|
|
#include <mp-units/systems/si/units.h>
|
|
#include <compare>
|
|
#include <limits>
|
|
#include <numbers>
|
|
#include <ostream>
|
|
|
|
namespace geographic {
|
|
|
|
inline constexpr struct mean_sea_level : mp_units::absolute_point_origin<mp_units::isq::altitude> {
|
|
using mp_units::absolute_point_origin<mp_units::isq::altitude>::absolute_point_origin;
|
|
} mean_sea_level;
|
|
|
|
using msl_altitude = mp_units::quantity_point<mp_units::isq::altitude[mp_units::si::metre], mean_sea_level>;
|
|
|
|
// text output
|
|
template<class CharT, class Traits>
|
|
std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const msl_altitude& a)
|
|
{
|
|
return os << a.absolute() << " AMSL";
|
|
}
|
|
|
|
} // namespace geographic
|
|
|
|
template<>
|
|
struct MP_UNITS_STD_FMT::formatter<geographic::msl_altitude> : formatter<geographic::msl_altitude::quantity_type> {
|
|
template<typename FormatContext>
|
|
auto format(const geographic::msl_altitude& a, FormatContext& ctx)
|
|
{
|
|
formatter<geographic::msl_altitude::quantity_type>::format(a.absolute(), ctx);
|
|
return MP_UNITS_STD_FMT::format_to(ctx.out(), " AMSL");
|
|
}
|
|
};
|
|
|
|
namespace geographic {
|
|
|
|
template<typename T = double>
|
|
using latitude =
|
|
mp_units::quantity<mp_units::isq::angular_measure[mp_units::si::degree], ranged_representation<T, -90, 90>>;
|
|
|
|
template<typename T = double>
|
|
using longitude =
|
|
mp_units::quantity<mp_units::isq::angular_measure[mp_units::si::degree], ranged_representation<T, -180, 180>>;
|
|
|
|
template<class CharT, class Traits, typename T>
|
|
std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const latitude<T>& lat)
|
|
{
|
|
if (lat.number() > 0)
|
|
return os << "N" << lat.number();
|
|
else
|
|
return os << "S" << -lat.number();
|
|
}
|
|
|
|
template<class CharT, class Traits, typename T>
|
|
std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const longitude<T>& lon)
|
|
{
|
|
if (lon.number() > 0)
|
|
return os << "E" << lon.number();
|
|
else
|
|
return os << "W" << -lon.number();
|
|
}
|
|
|
|
inline namespace literals {
|
|
|
|
constexpr latitude<long double> operator"" _N(long double v) { return latitude<long double>{v * mp_units::si::degree}; }
|
|
constexpr latitude<long double> operator"" _S(long double v)
|
|
{
|
|
return latitude<long double>{-v * mp_units::si::degree};
|
|
}
|
|
constexpr longitude<long double> operator"" _E(long double v)
|
|
{
|
|
return longitude<long double>{v * mp_units::si::degree};
|
|
}
|
|
constexpr longitude<long double> operator"" _W(long double v)
|
|
{
|
|
return longitude<long double>{-v * mp_units::si::degree};
|
|
}
|
|
|
|
} // namespace literals
|
|
|
|
} // namespace geographic
|
|
|
|
template<typename T>
|
|
class std::numeric_limits<geographic::latitude<T>> : public numeric_limits<T> {
|
|
static constexpr auto min() noexcept { return geographic::latitude<T>(-90); }
|
|
static constexpr auto lowest() noexcept { return geographic::latitude<T>(-90); }
|
|
static constexpr auto max() noexcept { return geographic::latitude<T>(90); }
|
|
};
|
|
|
|
template<typename T>
|
|
class std::numeric_limits<geographic::longitude<T>> : public numeric_limits<T> {
|
|
static constexpr auto min() noexcept { return geographic::longitude<T>(-180); }
|
|
static constexpr auto lowest() noexcept { return geographic::longitude<T>(-180); }
|
|
static constexpr auto max() noexcept { return geographic::longitude<T>(180); }
|
|
};
|
|
|
|
template<typename T>
|
|
struct MP_UNITS_STD_FMT::formatter<geographic::latitude<T>> : formatter<T> {
|
|
template<typename FormatContext>
|
|
auto format(geographic::latitude<T> lat, FormatContext& ctx)
|
|
{
|
|
MP_UNITS_STD_FMT::format_to(ctx.out(), "{}", lat > geographic::latitude<T>::zero() ? 'N' : 'S');
|
|
return formatter<T>::format(lat > geographic::latitude<T>::zero() ? lat.number() : -lat.number(), ctx);
|
|
}
|
|
};
|
|
|
|
template<typename T>
|
|
struct MP_UNITS_STD_FMT::formatter<geographic::longitude<T>> : formatter<T> {
|
|
template<typename FormatContext>
|
|
auto format(geographic::longitude<T> lon, FormatContext& ctx)
|
|
{
|
|
MP_UNITS_STD_FMT::format_to(ctx.out(), "{}", lon > geographic::longitude<T>::zero() ? 'E' : 'W');
|
|
return formatter<T>::format(lon > geographic::longitude<T>::zero() ? lon.number() : -lon.number(), ctx);
|
|
}
|
|
};
|
|
|
|
namespace geographic {
|
|
|
|
using distance = mp_units::quantity<mp_units::isq::distance[mp_units::si::kilo<mp_units::si::metre>]>;
|
|
|
|
template<typename T>
|
|
struct position {
|
|
latitude<T> lat;
|
|
longitude<T> lon;
|
|
};
|
|
|
|
template<typename T>
|
|
distance spherical_distance(position<T> from, position<T> to)
|
|
{
|
|
using namespace mp_units;
|
|
constexpr auto earth_radius = 6'371 * isq::radius[si::kilo<si::metre>];
|
|
|
|
using isq::sin, isq::cos, isq::asin, isq::acos;
|
|
|
|
// https://en.wikipedia.org/wiki/Great-circle_distance#Formulae
|
|
if constexpr (sizeof(T) >= 8) {
|
|
// spherical law of cosines
|
|
const auto central_angle = acos(sin(from.lat) * sin(to.lat) + cos(from.lat) * cos(to.lat) * cos(to.lon - from.lon));
|
|
// const auto central_angle = 2 * asin(sqrt(0.5 - cos(to.lat - from.lat) / 2 + cos(from.lat) * cos(to.lat) * (1
|
|
// - cos(lon2_rad - from.lon)) / 2));
|
|
|
|
return quantity_cast<isq::distance>(earth_radius * central_angle);
|
|
} else {
|
|
// the haversine formula
|
|
const auto sin_lat = sin((to.lat - from.lat) / 2);
|
|
const auto sin_lon = sin((to.lon - from.lon) / 2);
|
|
const auto central_angle = 2 * asin(sqrt(sin_lat * sin_lat + cos(from.lat) * cos(to.lat) * sin_lon * sin_lon));
|
|
|
|
return quantity_cast<isq::distance>(earth_radius * central_angle);
|
|
}
|
|
}
|
|
|
|
} // namespace geographic
|