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Version 4.12. Revised projections
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25 changed files with 390 additions and 167 deletions
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@ -10,10 +10,8 @@ using System.Windows;
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namespace MapControl
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{
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/// <summary>
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/// Transforms map coordinates according to the Web (or Pseudo) Mercator Projection, EPSG:3857.
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/// Longitude values are transformed linearly to X values in meters, by multiplying with TrueScale.
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/// Latitude values in the interval [-MaxLatitude .. MaxLatitude] are transformed to Y values in meters
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/// in the interval [-R*pi .. R*pi], R=Wgs84EquatorialRadius.
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/// Spherical Mercator Projection, EPSG:3857.
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/// See "Map Projections - A Working Manual" (https://pubs.usgs.gov/pp/1395/report.pdf), p.41-44.
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/// </summary>
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public class WebMercatorProjection : MapProjection
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{
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@ -25,16 +23,16 @@ namespace MapControl
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public WebMercatorProjection(string crsId)
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{
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CrsId = crsId;
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IsCylindrical = true;
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IsNormalCylindrical = true;
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IsWebMercator = true;
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MaxLatitude = YToLatitude(180d);
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}
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public override Vector GetMapScale(Location location)
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{
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var scale = ViewportScale / Math.Cos(location.Latitude * Math.PI / 180d);
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var k = 1d / Math.Cos(location.Latitude * Math.PI / 180d); // p.44 (7-3)
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return new Vector(scale, scale);
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return new Vector(ViewportScale * k, ViewportScale * k);
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}
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public override Point LocationToPoint(Location location)
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@ -63,12 +61,12 @@ namespace MapControl
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return double.PositiveInfinity;
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}
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return Math.Log(Math.Tan((latitude + 90d) * Math.PI / 360d)) / Math.PI * 180d;
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return Math.Log(Math.Tan((latitude + 90d) * Math.PI / 360d)) * 180d / Math.PI;
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}
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public static double YToLatitude(double y)
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{
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return 90d - Math.Atan(Math.Exp(-y * Math.PI / 180d)) / Math.PI * 360d;
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return 90d - Math.Atan(Math.Exp(-y * Math.PI / 180d)) * 360d / Math.PI;
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}
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}
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}
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