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Fixed RelativeTransform of azimuthal projections
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12 changed files with 72 additions and 39 deletions
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@ -21,7 +21,7 @@ namespace MapControl
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public double FalseNorthing { get; set; } = 2e6;
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public Hemisphere Hemisphere { get; set; }
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public static double RelativeScale(Hemisphere hemisphere, double flattening, double latitude)
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public static double RelativeScale(Hemisphere hemisphere, double flattening, double scaleFactor, double latitude)
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{
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var sign = hemisphere == Hemisphere.North ? 1d : -1d;
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var phi = sign * latitude * Math.PI / 180d;
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@ -32,8 +32,8 @@ namespace MapControl
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var t = Math.Tan(Math.PI / 4d - phi / 2d)
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/ Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9)
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// r == ρ/(a*k0), omit k0 for relative scale
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var r = 2d * t / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
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// r == ρ/a
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var r = scaleFactor * 2d * t / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
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var m = Math.Cos(phi) / Math.Sqrt(1d - eSinPhi * eSinPhi); // p.160 (14-15)
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return r / m; // p.161 (21-32)
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@ -41,7 +41,7 @@ namespace MapControl
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public override Matrix RelativeTransform(double latitude, double longitude)
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{
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var k = RelativeScale(Hemisphere, Flattening, latitude);
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var k = RelativeScale(Hemisphere, Flattening, ScaleFactor, latitude);
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return new Matrix(k, 0d, 0d, k, 0d, 0d);
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}
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