using System; #if WPF using System.Windows; #elif AVALONIA using Avalonia; #endif namespace MapControl.Projections { /// /// Elliptical Mercator Projection implemented by setting the WKT property of a GeoApiProjection. /// See "Map Projections - A Working Manual" (https://pubs.usgs.gov/pp/1395/report.pdf), p.44-45. /// public class WorldMercatorProjection : GeoApiProjection { public WorldMercatorProjection() { CoordinateSystemWkt = "PROJCS[\"WGS 84 / World Mercator\"," + "GEOGCS[\"WGS 84\"," + "DATUM[\"WGS_1984\",SPHEROID[\"WGS 84\",6378137,298.257223563]]," + GeoApiProjectionFactory.PrimeMeridian + "," + GeoApiProjectionFactory.UnitDegree + "," + "AUTHORITY[\"EPSG\",\"4326\"]]," + "PROJECTION[\"Mercator_1SP\"]," + "PARAMETER[\"latitude_of_origin\",0]," + "PARAMETER[\"central_meridian\",0]," + "PARAMETER[\"scale_factor\",1]," + "PARAMETER[\"false_easting\",0]," + "PARAMETER[\"false_northing\",0]," + GeoApiProjectionFactory.UnitMeter + "," + GeoApiProjectionFactory.AxisEast + "," + GeoApiProjectionFactory.AxisNorth + "," + "AUTHORITY[\"EPSG\",\"3395\"]]"; } public override Point RelativeScale(double latitude, double longitude) { var lat = latitude * Math.PI / 180d; var eSinLat = MapControl.WorldMercatorProjection.Wgs84Eccentricity * Math.Sin(lat); var k = Math.Sqrt(1d - eSinLat * eSinLat) / Math.Cos(lat); // p.44 (7-8) return new Point(k, k); } } }