// XAML Map Control - https://github.com/ClemensFischer/XAML-Map-Control // © 2021 Clemens Fischer // Licensed under the Microsoft Public License (Ms-PL) using System; using System.Globalization; namespace MapControl { /// /// A geographic location with latitude and longitude values in degrees. /// #if !WINDOWS_UWP [System.ComponentModel.TypeConverter(typeof(LocationConverter))] #endif public class Location : IEquatable { private double latitude; private double longitude; public Location() { } public Location(double latitude, double longitude) { Latitude = latitude; Longitude = longitude; } public double Latitude { get { return latitude; } set { latitude = Math.Min(Math.Max(value, -90d), 90d); } } public double Longitude { get { return longitude; } set { longitude = value; } } public bool Equals(Location location) { return location != null && Math.Abs(location.latitude - latitude) < 1e-9 && Math.Abs(location.longitude - longitude) < 1e-9; } public override bool Equals(object obj) { return Equals(obj as Location); } public override int GetHashCode() { return latitude.GetHashCode() ^ longitude.GetHashCode(); } public override string ToString() { return string.Format(CultureInfo.InvariantCulture, "{0:F5},{1:F5}", latitude, longitude); } public static Location Parse(string locationString) { Location location = null; if (!string.IsNullOrEmpty(locationString)) { var values = locationString.Split(new char[] { ',' }); if (values.Length != 2) { throw new FormatException("Location string must be a comma-separated pair of double values."); } location = new Location( double.Parse(values[0], NumberStyles.Float, CultureInfo.InvariantCulture), double.Parse(values[1], NumberStyles.Float, CultureInfo.InvariantCulture)); } return location; } /// /// Normalizes a longitude to a value in the interval [-180 .. 180]. /// public static double NormalizeLongitude(double longitude) { if (longitude < -180d) { longitude = ((longitude + 180d) % 360d) + 180d; } else if (longitude > 180d) { longitude = ((longitude - 180d) % 360d) - 180d; } return longitude; } /// /// Calculates the great circle distance between this and the specified Location. /// https://en.wikipedia.org/wiki/Great_circle /// https://en.wikipedia.org/wiki/Great-circle_distance /// https://en.wikipedia.org/wiki/Great-circle_navigation /// public double GetDistance( Location location, double earthRadius = MapProjection.Wgs84EquatorialRadius) { var lat1 = latitude * Math.PI / 180d; var lon1 = longitude * Math.PI / 180d; var lat2 = location.latitude * Math.PI / 180d; var lon2 = location.longitude * Math.PI / 180d; var sinLat1 = Math.Sin(lat1); var cosLat1 = Math.Cos(lat1); var sinLat2 = Math.Sin(lat2); var cosLat2 = Math.Cos(lat2); var sinLon12 = Math.Sin(lon2 - lon1); var cosLon12 = Math.Cos(lon2 - lon1); var a = cosLat1 * sinLat2 - sinLat1 * cosLat2 * cosLon12; var b = cosLat2 * sinLon12; var s12 = Math.Atan2(Math.Sqrt(a * a + b * b), sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosLon12); return earthRadius * s12; } /// /// Calculates the Location on a great circle at the specified azimuth angle and distance from this Location. /// https://en.wikipedia.org/wiki/Great_circle /// https://en.wikipedia.org/wiki/Great-circle_navigation /// public Location GetLocation( double azimuth, double distance, double earthRadius = MapProjection.Wgs84EquatorialRadius) { var s12 = distance / earthRadius; var az1 = azimuth * Math.PI / 180d; var lat1 = latitude * Math.PI / 180d; var lon1 = longitude * Math.PI / 180d; var sinS12 = Math.Sin(s12); var cosS12 = Math.Cos(s12); var sinAz1 = Math.Sin(az1); var cosAz1 = Math.Cos(az1); var sinLat1 = Math.Sin(lat1); var cosLat1 = Math.Cos(lat1); var lat2 = Math.Asin(sinLat1 * cosS12 + cosLat1 * sinS12 * cosAz1); var lon2 = lon1 + Math.Atan2(sinS12 * sinAz1, (cosLat1 * cosS12 - sinLat1 * sinS12 * cosAz1)); return new Location(lat2 * 180d / Math.PI, lon2 * 180d / Math.PI); } } }