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Renamed delta lambda

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ClemensFischer 2026-02-03 22:20:58 +01:00
parent 8afa480ec0
commit e7f1ef820e
3 changed files with 24 additions and 24 deletions
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12
MapControl/Shared/StereographicProjection.cs
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@ -50,15 +50,15 @@ namespace MapControl
var phi0 = LatitudeOfOrigin * Math.PI / 180d; // φ1
var phi1 = latitude * Math.PI / 180d;
var phi2 = (latitude + 1e-3) * Math.PI / 180d;
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d; // λ - λ0
var lambda = (longitude - CentralMeridian) * Math.PI / 180d; // λ - λ0
var sinPhi0 = Math.Sin(phi0);
var cosPhi0 = Math.Cos(phi0);
var sinPhi1 = Math.Sin(phi1);
var cosPhi1 = Math.Cos(phi1);
var sinPhi2 = Math.Sin(phi2);
var cosPhi2 = Math.Cos(phi2);
var sinLambda = Math.Sin(dLambda);
var cosLambda = Math.Cos(dLambda);
var sinLambda = Math.Sin(lambda);
var cosLambda = Math.Cos(lambda);
var k1 = 2d / (1d + sinPhi0 * sinPhi1 + cosPhi0 * cosPhi1 * cosLambda);
var k2 = 2d / (1d + sinPhi0 * sinPhi2 + cosPhi0 * cosPhi2 * cosLambda);
var c = k2 * cosPhi2 - k1 * cosPhi1;
@ -89,13 +89,13 @@ namespace MapControl
{
var phi0 = LatitudeOfOrigin * Math.PI / 180d; // φ1
var phi = latitude * Math.PI / 180d; // φ
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d; // λ - λ0
var lambda = (longitude - CentralMeridian) * Math.PI / 180d; // λ - λ0
var sinPhi0 = Math.Sin(phi0);
var cosPhi0 = Math.Cos(phi0);
var sinPhi = Math.Sin(phi);
var cosPhi = Math.Cos(phi);
var sinLambda = Math.Sin(dLambda);
var cosPhiCosLambda = cosPhi * Math.Cos(dLambda);
var sinLambda = Math.Sin(lambda);
var cosPhiCosLambda = cosPhi * Math.Cos(lambda);
var x = cosPhi * sinLambda;
var y = cosPhi0 * sinPhi - sinPhi0 * cosPhiCosLambda;
var k = 2d / (1d + sinPhi0 * sinPhi + cosPhi0 * cosPhiCosLambda); // p.157 (21-4), k0 == 1

22
MapControl/Shared/TransverseMercatorProjection.cs
View file

@ -70,11 +70,11 @@ namespace MapControl
// φ
var phi = latitude * Math.PI / 180d;
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
var lambda = (longitude - CentralMeridian) * Math.PI / 180d;
// γ calculation for the sphere is sufficiently accurate
//
return Math.Atan(Math.Tan(dLambda) * Math.Sin(phi)) * 180d / Math.PI;
return Math.Atan(Math.Tan(lambda) * Math.Sin(phi)) * 180d / Math.PI;
}
public override Matrix RelativeTransform(double latitude, double longitude)
@ -83,16 +83,16 @@ namespace MapControl
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
var cosLambda = Math.Cos(dLambda);
var tanLambda = Math.Tan(dLambda);
var lambda = (longitude - CentralMeridian) * Math.PI / 180d;
var cosLambda = Math.Cos(lambda);
var tanLambda = Math.Tan(lambda);
// t
var t = Math.Sinh(Atanh(sinPhi) - f2 * Atanh(f2 * sinPhi));
var u = Math.Sqrt(1d + t * t);
// ξ'
var xi_ = Math.Atan2(t, cosLambda);
// η'
var eta_ = Atanh(Math.Sin(dLambda) / u);
var eta_ = Atanh(Math.Sin(lambda) / u);
// σ
var sigma = 1 +
2d * a1 * Math.Cos(2d * xi_) * Math.Cosh(2d * eta_) +
@ -124,11 +124,11 @@ namespace MapControl
// t
var t = Math.Sinh(Atanh(sinPhi) - f2 * Atanh(f2 * sinPhi));
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
var lambda = (longitude - CentralMeridian) * Math.PI / 180d;
// ξ'
var xi_ = Math.Atan2(t, Math.Cos(dLambda));
var xi_ = Math.Atan2(t, Math.Cos(lambda));
// η'
var eta_ = Atanh(Math.Sin(dLambda) / Math.Sqrt(1d + t * t));
var eta_ = Atanh(Math.Sin(lambda) / Math.Sqrt(1d + t * t));
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
@ -171,11 +171,11 @@ namespace MapControl
d2 * Math.Sin(4d * chi) +
d3 * Math.Sin(6d * chi);
// λ - λ0
var dLambda = Math.Atan2(Math.Sinh(eta_), Math.Cos(xi_));
var lambda = Math.Atan2(Math.Sinh(eta_), Math.Cos(xi_));
return new Location(
phi * 180d / Math.PI,
dLambda * 180d / Math.PI + CentralMeridian);
lambda * 180d / Math.PI + CentralMeridian);
}
#if NETFRAMEWORK

14
MapControl/Shared/TransverseMercatorProjectionSnyder.cs
View file

@ -40,11 +40,11 @@ namespace MapControl
// φ
var phi = latitude * Math.PI / 180d;
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
var lambda = (longitude - CentralMeridian) * Math.PI / 180d;
// γ calculation for the sphere is sufficiently accurate
//
return Math.Atan(Math.Tan(dLambda) * Math.Sin(phi)) * 180d / Math.PI;
return Math.Atan(Math.Tan(lambda) * Math.Sin(phi)) * 180d / Math.PI;
}
public override Matrix RelativeTransform(double latitude, double longitude)
@ -58,13 +58,13 @@ namespace MapControl
var sinPhi = Math.Sin(phi);
var cosPhi = Math.Cos(phi);
var tanPhi = sinPhi / cosPhi;
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
var lambda = (longitude - CentralMeridian) * Math.PI / 180d;
var e2 = (2d - Flattening) * Flattening;
var e_2 = e2 / (1d - e2); // (8-12)
var T = tanPhi * tanPhi; // (8-13)
var C = e_2 * cosPhi * cosPhi; // (8-14)
var A = dLambda * cosPhi; // (8-15)
var A = lambda * cosPhi; // (8-15)
var A2 = A * A;
var A4 = A2 * A2;
var A6 = A2 * A4;
@ -73,7 +73,7 @@ namespace MapControl
(5d - 4d * T + 42d * C + 13d * C * C - 28d * e_2) * A4 / 24d +
(61d - 148d * T + 16 * T * T) * A6 / 720d; // (8-11)
gamma = Math.Atan(Math.Tan(dLambda) * sinPhi) * 180d / Math.PI;
gamma = Math.Atan(Math.Tan(lambda) * sinPhi) * 180d / Math.PI;
}
var transform = new Matrix(k, 0d, 0d, k, 0d, 0d);
@ -161,12 +161,12 @@ namespace MapControl
var phi = phi0 - N1 * tanPhi0 / R1 * (D2 / 2d - (5d + 3d * T1 + 10d * C1 - 4d * C1 * C1 - 9d * e_2) * D4 / 24d +
(61d + 90d * T1 + 45d * T1 * T1 + 298 * C1 - 3d * C1 * C1 - 252d * e_2) * D6 / 720d); // (8-17)
var dLambda = (D - (1d + 2d * T1 + C1) * D3 / 6d +
var lambda = (D - (1d + 2d * T1 + C1) * D3 / 6d +
(5d - 2d * C1 - 3d * C1 * C1 + 28d * T1 + 24d * T1 * T1 + 8d * e_2) * D5 / 120d) / cosPhi0; // (8-18)
return new Location(
phi * 180d / Math.PI,
dLambda * 180d / Math.PI + CentralMeridian);
lambda * 180d / Math.PI + CentralMeridian);
}
private double MeridianDistance(double phi)