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295 lines
8.9 KiB
C++
295 lines
8.9 KiB
C++
#include <scwx/qt/util/geographic_lib.hpp>
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#include <scwx/util/logger.hpp>
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#include <numbers>
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#include <GeographicLib/Gnomonic.hpp>
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#include <geos/algorithm/PointLocation.h>
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#include <geos/operation/distance/DistanceOp.h>
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#include <geos/geom/CoordinateSequence.h>
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#include <geos/geom/GeometryFactory.h>
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namespace scwx
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{
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namespace qt
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{
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namespace util
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{
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namespace GeographicLib
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{
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static const std::string logPrefix_ = "scwx::qt::util::geographic_lib";
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static const auto logger_ = scwx::util::Logger::Create(logPrefix_);
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const ::GeographicLib::Geodesic& DefaultGeodesic()
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{
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static const ::GeographicLib::Geodesic geodesic_ {
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::GeographicLib::Constants::WGS84_a(),
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::GeographicLib::Constants::WGS84_f()};
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return geodesic_;
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}
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bool GnomonicAreaContainsCenter(geos::geom::CoordinateSequence sequence)
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{
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// Cannot have an area with just two points
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if (sequence.size() <= 2 ||
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(sequence.size() == 3 && sequence.front() == sequence.back()))
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{
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return false;
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}
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bool areaContainsPoint = false;
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geos::geom::CoordinateXY zero {};
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// If the sequence is not a ring, add the first point again for closure
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if (!sequence.isRing())
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{
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sequence.add(sequence.front(), false);
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}
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// The sequence should be a ring at this point, but make sure
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if (sequence.isRing())
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{
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try
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{
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areaContainsPoint =
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geos::algorithm::PointLocation::isInRing(zero, &sequence);
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}
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catch (const std::exception& ex)
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{
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logger_->warn("Invalid area sequence. {}", ex.what());
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}
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}
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return areaContainsPoint;
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}
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bool AreaContainsPoint(const std::vector<common::Coordinate>& area,
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const common::Coordinate& point)
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{
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// Cannot have an area with just two points
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if (area.size() <= 2 || (area.size() == 3 && area.front() == area.back()))
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{
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return false;
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}
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::GeographicLib::Gnomonic gnomonic {};
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geos::geom::CoordinateSequence sequence {};
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double x;
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double y;
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bool areaContainsPoint = false;
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// Using a gnomonic projection with the test point as the center
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// latitude/longitude, the projected test point will be at (0, 0)
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geos::geom::CoordinateXY zero {};
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// Create the area coordinate sequence using a gnomonic projection
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for (auto& areaCoordinate : area)
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{
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gnomonic.Forward(point.latitude_,
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point.longitude_,
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areaCoordinate.latitude_,
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areaCoordinate.longitude_,
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x,
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y);
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sequence.add(x, y);
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}
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// If the sequence is not a ring, add the first point again for closure
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if (!sequence.isRing())
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{
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sequence.add(sequence.front(), false);
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}
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// The sequence should be a ring at this point, but make sure
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if (sequence.isRing())
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{
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try
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{
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areaContainsPoint =
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geos::algorithm::PointLocation::isInRing(zero, &sequence);
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}
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catch (const std::exception&)
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{
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logger_->trace("Invalid area sequence");
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}
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}
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return areaContainsPoint;
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}
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units::angle::degrees<double>
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GetAngle(double lat1, double lon1, double lat2, double lon2)
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{
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double azi1;
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double azi2;
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DefaultGeodesic().Inverse(lat1, lon1, lat2, lon2, azi1, azi2);
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return units::angle::degrees<double> {azi1};
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}
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common::Coordinate GetCoordinate(const common::Coordinate& center,
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units::angle::degrees<double> angle,
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units::length::meters<double> distance)
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{
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double latitude;
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double longitude;
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DefaultGeodesic().Direct(center.latitude_,
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center.longitude_,
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angle.value(),
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distance.value(),
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latitude,
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longitude);
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return {latitude, longitude};
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}
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common::Coordinate GetCoordinate(const common::Coordinate& center,
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units::meters<double> i,
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units::meters<double> j)
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{
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// Calculate polar coordinates based on i and j
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const double angle =
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std::atan2(i.value(), j.value()) * 180.0 / std::numbers::pi;
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const double range =
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std::sqrt(i.value() * i.value() + j.value() * j.value());
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double latitude;
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double longitude;
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DefaultGeodesic().Direct(
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center.latitude_, center.longitude_, angle, range, latitude, longitude);
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return {latitude, longitude};
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}
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units::length::meters<double>
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GetDistance(double lat1, double lon1, double lat2, double lon2)
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{
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double distance;
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DefaultGeodesic().Inverse(lat1, lon1, lat2, lon2, distance);
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return units::length::meters<double> {distance};
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}
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/*
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* Uses the gnomonic projection to determine if the area is in the radius.
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*
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* The basic algorithm is as follows:
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* - Get a gnomonic projection centered on the point of the area
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* - Find the point on the area which is closest to the center
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* - Convert the closest point back to latitude and longitude.
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* - Find the distance form the closest point to the point.
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*
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* The first property needed to make this work is that great circles become
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* lines in the projection, which allows the area to be converted to strait
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* lines. This is generally true for gnomic projections.
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*
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* The second property needed to make this work is that a point further away
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* on the geodesic must be further away on the projection. This means that
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* the closes point on the projection is also the closest point on the geodesic.
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* This holds for spherical geodesics and is an approximation non spherical
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* geodesics.
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*
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* This algorithm only works if the area is fully on the hemisphere centered
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* on the point. Otherwise, this falls back to centroid based distances.
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*
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* If the point is inside the area, 0 is always returned.
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*/
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units::length::meters<double>
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GetDistanceAreaPoint(const std::vector<common::Coordinate>& area,
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const common::Coordinate& point)
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{
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// Ensure that the same geodesic is used here as is for the distance
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// calculation
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::GeographicLib::Gnomonic gnomonic =
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::GeographicLib::Gnomonic(DefaultGeodesic());
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geos::geom::CoordinateSequence sequence {};
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double x;
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double y;
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bool useCentroid = false;
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// Using a gnomonic projection with the test point as the center
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// latitude/longitude, the projected test point will be at (0, 0)
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geos::geom::CoordinateXY zero {};
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// Create the area coordinate sequence using a gnomonic projection
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for (auto& areaCoordinate : area)
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{
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gnomonic.Forward(point.latitude_,
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point.longitude_,
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areaCoordinate.latitude_,
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areaCoordinate.longitude_,
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x,
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y);
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// Check if the current point is in the hemisphere centered on the point
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// if not, fall back to using centroid.
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if (std::isnan(x) || std::isnan(y))
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{
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useCentroid = true;
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}
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sequence.add(x, y);
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}
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units::length::meters<double> distance;
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if (useCentroid)
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{
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common::Coordinate centroid = common::GetCentroid(area);
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distance = GetDistance(point.latitude_,
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point.longitude_,
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centroid.latitude_,
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centroid.longitude_);
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}
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else if (GnomonicAreaContainsCenter(sequence))
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{
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distance = units::length::meters<double>(0);
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}
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else
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{
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// Get the closes point on the geometry
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auto geometryFactory = geos::geom::GeometryFactory::getDefaultInstance();
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auto lineString = geometryFactory->createLineString(sequence);
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auto zeroPoint = geometryFactory->createPoint(zero);
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std::unique_ptr<geos::geom::CoordinateSequence> closestPoints =
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geos::operation::distance::DistanceOp::nearestPoints(lineString.get(),
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zeroPoint.get());
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double closestLat;
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double closestLon;
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gnomonic.Reverse(point.latitude_,
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point.longitude_,
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closestPoints->getX(0),
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closestPoints->getY(0),
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closestLat,
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closestLon);
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distance = GetDistance(point.latitude_,
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point.longitude_,
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closestLat,
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closestLon);
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}
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return distance;
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}
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bool AreaInRangeOfPoint(const std::vector<common::Coordinate>& area,
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const common::Coordinate& point,
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const units::length::meters<double> distance)
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{
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return GetDistanceAreaPoint(area, point) <= distance;
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}
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} // namespace GeographicLib
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} // namespace util
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} // namespace qt
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} // namespace scwx
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