Unified map projections

This commit is contained in:
ClemensFischer 2026-02-01 18:23:03 +01:00
parent 9fe7dccd68
commit 36781140ac
7 changed files with 150 additions and 172 deletions

View file

@ -1,32 +0,0 @@
using System;
namespace MapControl
{
/// <summary>
/// ETRS89 Universal Transverse Mercator Projection - EPSG:25828 to EPSG:25838.
/// </summary>
public class Etrs89UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 28;
public const int LastZone = 38;
public const int FirstZoneEpsgCode = 25800 + FirstZone;
public const int LastZoneEpsgCode = 25800 + LastZone;
public int Zone { get; }
public Etrs89UtmProjection(int zone) : base(zone)
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid ETRS89 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{25800 + zone}";
// GRS 1980
EquatorialRadius = 6378137d;
Flattening = 1d / 298.257222101;
}
}
}

View file

@ -1,32 +0,0 @@
using System;
namespace MapControl
{
/// <summary>
/// NAD27 Universal Transverse Mercator Projection - EPSG:26701 to EPSG:26722.
/// </summary>
public class Nad27UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 22;
public const int FirstZoneEpsgCode = 26700 + FirstZone;
public const int LastZoneEpsgCode = 26700 + LastZone;
public int Zone { get; }
public Nad27UtmProjection(int zone) : base(zone)
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid NAD27 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{26700 + zone}";
// Clarke 1866
EquatorialRadius = 6378206.4;
Flattening = 1d / 294.978698213898;
}
}
}

View file

@ -1,32 +0,0 @@
using System;
namespace MapControl
{
/// <summary>
/// NAD83 Universal Transverse Mercator Projection - EPSG:26901 to EPSG:26923.
/// </summary>
public class Nad83UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 23;
public const int FirstZoneEpsgCode = 26900 + FirstZone;
public const int LastZoneEpsgCode = 26900 + LastZone;
public int Zone { get; }
public Nad83UtmProjection(int zone) : base(zone)
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid NAD83 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{26900 + zone}";
// GRS 1980
EquatorialRadius = 6378137d;
Flattening = 1d / 298.257222101;
}
}
}

View file

@ -16,24 +16,32 @@ namespace MapControl
/// </summary>
public class TransverseMercatorProjection : MapProjection
{
private double f;
private double n;
private double a1; // α1
private double a2; // α2
private double a3; // α3
private double b1; // β1
private double b2; // β2
private double b3; // β3
private double d1; // δ1
private double d2; // δ2
private double d3; // δ3
private double f1; // A/a
private double f2; // 2*sqrt(n)/(1+n)
private readonly double n;
private readonly double a1; // α1
private readonly double a2; // α2
private readonly double a3; // α3
private readonly double b1; // β1
private readonly double b2; // β2
private readonly double b3; // β3
private readonly double d1; // δ1
private readonly double d2; // δ2
private readonly double d3; // δ3
private readonly double f1; // A/a
private readonly double f2; // 2*sqrt(n)/(1+n)
private void InitializeParameters()
public TransverseMercatorProjection(
double equatorialRadius, double flattening,
double scaleFactor, double centralMeridian,
double falseEasting, double falseNorthing = 0d)
{
f = Flattening;
n = f / (2d - f);
EquatorialRadius = equatorialRadius;
Flattening = flattening;
ScaleFactor = scaleFactor;
CentralMeridian = centralMeridian;
FalseEasting = falseEasting;
FalseNorthing = falseNorthing;
n = flattening / (2d - flattening);
var n2 = n * n;
var n3 = n * n2;
a1 = n / 2d - n2 * 2d / 3d + n3 * 5d / 16d;
@ -49,17 +57,14 @@ namespace MapControl
f2 = 2d * Math.Sqrt(n) / (1d + n);
}
public TransverseMercatorProjection()
public TransverseMercatorProjection(
double equatorialRadius, double flattening,
double scaleFactor, int utmZone, bool north = true)
: this(equatorialRadius, flattening,
scaleFactor, utmZone * 6d - 183d, 5e5, north ? 0d : 1e7)
{
}
public TransverseMercatorProjection(int utmZone) : this()
{
CentralMeridian = utmZone * 6d - 183d;
ScaleFactor = 0.9996;
FalseEasting = 5e5;
}
public override double GridConvergence(double latitude, double longitude)
{
// φ
@ -74,11 +79,6 @@ namespace MapControl
public override Matrix RelativeTransform(double latitude, double longitude)
{
if (f != Flattening)
{
InitializeParameters();
}
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
@ -118,11 +118,6 @@ namespace MapControl
public override Point LocationToMap(double latitude, double longitude)
{
if (f != Flattening)
{
InitializeParameters();
}
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
@ -152,11 +147,6 @@ namespace MapControl
public override Location MapToLocation(double x, double y)
{
if (f != Flattening)
{
InitializeParameters();
}
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
// ξ

View file

@ -15,15 +15,24 @@ namespace MapControl
/// </summary>
public class TransverseMercatorProjectionSnyder : MapProjection
{
public TransverseMercatorProjectionSnyder()
public TransverseMercatorProjectionSnyder(
double equatorialRadius, double flattening, double scaleFactor,
double centralMeridian, double latitudeOfOrigin,
double falseEasting, double falseNorthing = 0d)
{
EquatorialRadius = equatorialRadius;
Flattening = flattening;
ScaleFactor = scaleFactor;
CentralMeridian = centralMeridian;
LatitudeOfOrigin = latitudeOfOrigin;
FalseEasting = falseEasting;
FalseNorthing = falseNorthing;
}
public TransverseMercatorProjectionSnyder(int utmZone) : this()
public TransverseMercatorProjectionSnyder(int utmZone, bool north = true)
: this(Wgs84EquatorialRadius, Wgs84Flattening,
0.9996, utmZone * 6d - 183d, 0d, 5e5, north ? 0d : 1e7)
{
CentralMeridian = utmZone * 6d - 183d;
ScaleFactor = 0.9996;
FalseEasting = 5e5;
}
public override double GridConvergence(double latitude, double longitude)

View file

@ -0,0 +1,107 @@
using System;
namespace MapControl
{
/// <summary>
/// WGS84 Universal Transverse Mercator Projection -
/// EPSG:32601 to EPSG:32660 and EPSG:32701 to EPSG:32760.
/// </summary>
public class Wgs84UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 60;
public const int FirstZoneNorthEpsgCode = 32600 + FirstZone;
public const int LastZoneNorthEpsgCode = 32600 + LastZone;
public const int FirstZoneSouthEpsgCode = 32700 + FirstZone;
public const int LastZoneSouthEpsgCode = 32700 + LastZone;
public int Zone { get; }
public Wgs84UtmProjection(int zone, bool north)
: base(Wgs84EquatorialRadius, Wgs84Flattening, 0.9996, zone, north)
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid WGS84 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{(north ? 32600 : 32700) + zone}";
}
}
/// <summary>
/// ETRS89 Universal Transverse Mercator Projection - EPSG:25828 to EPSG:25838.
/// </summary>
public class Etrs89UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 28;
public const int LastZone = 38;
public const int FirstZoneEpsgCode = 25800 + FirstZone;
public const int LastZoneEpsgCode = 25800 + LastZone;
public int Zone { get; }
public Etrs89UtmProjection(int zone)
: base(6378137d, 1d / 298.257222101, 0.9996, zone) // GRS 1980
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid ETRS89 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{25800 + zone}";
}
}
/// <summary>
/// NAD83 Universal Transverse Mercator Projection - EPSG:26901 to EPSG:26923.
/// </summary>
public class Nad83UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 23;
public const int FirstZoneEpsgCode = 26900 + FirstZone;
public const int LastZoneEpsgCode = 26900 + LastZone;
public int Zone { get; }
public Nad83UtmProjection(int zone)
: base(6378137d, 1d / 298.257222101, 0.9996, zone) // GRS 1980
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid NAD83 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{26900 + zone}";
}
}
/// <summary>
/// NAD27 Universal Transverse Mercator Projection - EPSG:26701 to EPSG:26722.
/// </summary>
public class Nad27UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 22;
public const int FirstZoneEpsgCode = 26700 + FirstZone;
public const int LastZoneEpsgCode = 26700 + LastZone;
public int Zone { get; }
public Nad27UtmProjection(int zone)
: base(6378206.4, 1d / 294.978698213898, 0.9996, zone) // Clarke 1866
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid NAD27 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{26700 + zone}";
}
}
}

View file

@ -1,32 +0,0 @@
using System;
namespace MapControl
{
/// <summary>
/// WGS84 Universal Transverse Mercator Projection -
/// EPSG:32601 to EPSG:32660 and EPSG:32701 to EPSG:32760.
/// </summary>
public class Wgs84UtmProjection : TransverseMercatorProjection
{
public const int FirstZone = 1;
public const int LastZone = 60;
public const int FirstZoneNorthEpsgCode = 32600 + FirstZone;
public const int LastZoneNorthEpsgCode = 32600 + LastZone;
public const int FirstZoneSouthEpsgCode = 32700 + FirstZone;
public const int LastZoneSouthEpsgCode = 32700 + LastZone;
public int Zone { get; }
public Wgs84UtmProjection(int zone, bool north) : base(zone)
{
if (zone < FirstZone || zone > LastZone)
{
throw new ArgumentException($"Invalid WGS84 UTM zone {zone}.", nameof(zone));
}
Zone = zone;
CrsId = $"EPSG:{(north ? 32600 : 32700) + zone}";
FalseNorthing = north ? 0d : 1e7;
}
}
}