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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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@ -68,6 +68,7 @@ namespace MapControl
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// λ - λ0
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var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
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var cosLambda = Math.Cos(dLambda);
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var tanLambda = Math.Tan(dLambda);
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// t
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var t = Math.Sinh(Atanh(sinPhi) - f2 * Atanh(f2 * sinPhi));
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var u = Math.Sqrt(1d + t * t);
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@ -88,14 +89,12 @@ namespace MapControl
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var n = Flattening / (2d - Flattening);
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var m = (1d - n) / (1d + n) * Math.Tan(phi);
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// h = k/k0 for relative scale
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var h = f1 * Math.Sqrt((1d + m * m) * (sigma * sigma + tau * tau) / (t * t + cosLambda * cosLambda));
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var k = ScaleFactor * f1 * Math.Sqrt((1d + m * m) * (sigma * sigma + tau * tau) / (t * t + cosLambda * cosLambda));
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var tanLambda = Math.Tan(dLambda);
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// γ, meridian convergence angle
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var gamma = Math.Atan2(tau * u + sigma * t * tanLambda, sigma * u - tau * t * tanLambda);
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var transform = new Matrix(h, 0d, 0d, h, 0d, 0d);
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var transform = new Matrix(k, 0d, 0d, k, 0d, 0d);
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transform.Rotate(-gamma * 180d / Math.PI);
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return transform;
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