ClemensFischer/XAML-Map-Control
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MapProjection.GridConvergence, rotation instead of Matrix

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ClemensFischer 2026-01-29 21:36:11 +01:00
parent 45b47bbae4
commit 4ad9f2ea2a
15 changed files with 272 additions and 239 deletions
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94
MapControl/Shared/TransverseMercatorProjection.cs
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@ -60,6 +60,35 @@ namespace MapControl
Flattening = Wgs84Flattening;
}
public override Point LocationToMap(double latitude, double longitude)
{
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
// t
var t = Math.Sinh(Atanh(sinPhi) - f2 * Atanh(f2 * sinPhi));
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
// ξ'
var xi_ = Math.Atan2(t, Math.Cos(dLambda));
// η'
var eta_ = Atanh(Math.Sin(dLambda) / Math.Sqrt(1d + t * t));
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
var x = FalseEasting + k0A * (eta_ +
a1 * Math.Cos(2d * xi_) * Math.Sinh(2d * eta_) +
a2 * Math.Cos(4d * xi_) * Math.Sinh(4d * eta_) +
a3 * Math.Cos(6d * xi_) * Math.Sinh(6d * eta_));
var y = FalseNorthing + k0A * (xi_ +
a1 * Math.Sin(2d * xi_) * Math.Cosh(2d * eta_) +
a2 * Math.Sin(4d * xi_) * Math.Cosh(4d * eta_) +
a3 * Math.Sin(6d * xi_) * Math.Cosh(6d * eta_));
return new Point(x, y);
}
public override Matrix RelativeTransform(double latitude, double longitude)
{
// φ
@ -100,35 +129,6 @@ namespace MapControl
return transform;
}
public override Point LocationToMap(double latitude, double longitude)
{
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
// t
var t = Math.Sinh(Atanh(sinPhi) - f2 * Atanh(f2 * sinPhi));
// λ - λ0
var dLambda = (longitude - CentralMeridian) * Math.PI / 180d;
// ξ'
var xi_ = Math.Atan2(t, Math.Cos(dLambda));
// η'
var eta_ = Atanh(Math.Sin(dLambda) / Math.Sqrt(1d + t * t));
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
var x = FalseEasting + k0A * (eta_ +
a1 * Math.Cos(2d * xi_) * Math.Sinh(2d * eta_) +
a2 * Math.Cos(4d * xi_) * Math.Sinh(4d * eta_) +
a3 * Math.Cos(6d * xi_) * Math.Sinh(6d * eta_));
var y = FalseNorthing + k0A * (xi_ +
a1 * Math.Sin(2d * xi_) * Math.Cosh(2d * eta_) +
a2 * Math.Sin(4d * xi_) * Math.Cosh(4d * eta_) +
a3 * Math.Sin(6d * xi_) * Math.Cosh(6d * eta_));
return new Point(x, y);
}
public override Location MapToLocation(double x, double y)
{
// k0 * A
@ -162,6 +162,42 @@ namespace MapControl
dLambda * 180d / Math.PI + CentralMeridian);
}
public override double GridConvergence(double x, double y)
{
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
// ξ
var xi = (y - FalseNorthing) / k0A;
// η
var eta = (x - FalseEasting) / k0A;
// ξ'
var xi_ = xi -
b1 * Math.Sin(2d * xi) * Math.Cosh(2d * eta) -
b2 * Math.Sin(4d * xi) * Math.Cosh(4d * eta) -
b3 * Math.Sin(6d * xi) * Math.Cosh(6d * eta);
// η'
var eta_ = eta -
b1 * Math.Cos(2d * xi) * Math.Sinh(2d * eta) -
b2 * Math.Cos(4d * xi) * Math.Sinh(4d * eta) -
b3 * Math.Cos(6d * xi) * Math.Sinh(6d * eta);
// σ'
var sigma_ = 1 -
2d * b1 * Math.Cos(2d * xi) * Math.Cosh(2d * eta) +
4d * b2 * Math.Cos(4d * xi) * Math.Cosh(4d * eta) +
6d * b3 * Math.Cos(6d * xi) * Math.Cosh(6d * eta);
// τ'
var tau_ =
2d * b1 * Math.Sin(2d * xi) * Math.Sinh(2d * eta) +
4d * b2 * Math.Sin(4d * xi) * Math.Sinh(4d * eta) +
6d * b3 * Math.Sin(6d * xi) * Math.Sinh(6d * eta);
var tanXi_tanhEta_ = Math.Tan(xi_) * Math.Tanh(eta_);
// γ
var gamma = Math.Atan2(tau_ + sigma_ * tanXi_tanhEta_, sigma_ + -tau_ * tanXi_tanhEta_);
return gamma * 180d / Math.PI;
}
#if NETFRAMEWORK
private static double Atanh(double x) => Math.Log((1d + x) / (1d - x)) / 2d;
#else