/// <summary>
/// Create an IrishRef object from the given latitude and longitude.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
public IrishRef(LatLng ll) : base(Ireland1965Datum.Instance)
{
ll.ToDatum(Ireland1965Datum.Instance);
DotNetCoords.Ellipsoid.Ellipsoid ellipsoid = Datum.ReferenceEllipsoid;
double N0 = FALSE_ORIGIN_NORTHING;
double E0 = FALSE_ORIGIN_EASTING;
double phi0 = Util.ToRadians(FALSE_ORIGIN_LATITUDE);
double lambda0 = Util.ToRadians(FALSE_ORIGIN_LONGITUDE);
double a = ellipsoid.SemiMajorAxis * SCALE_FACTOR;
double b = ellipsoid.SemiMinorAxis * SCALE_FACTOR;
double eSquared = ellipsoid.EccentricitySquared;
double phi = Util.ToRadians(ll.Latitude);
double lambda = Util.ToRadians(ll.Longitude);
double E = 0.0;
double N = 0.0;
double n = (a - b) / (a + b);
double v = a
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -0.5);
double rho = a * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -1.5);
double etaSquared = (v / rho) - 1.0;
double M = b
* (((1 + n + ((5.0 / 4.0) * n * n) + ((5.0 / 4.0) * n * n * n)) * (phi - phi0))
- (((3 * n) + (3 * n * n) + ((21.0 / 8.0) * n * n * n))
* Math.Sin(phi - phi0) * Math.Cos(phi + phi0))
+ ((((15.0 / 8.0) * n * n) + ((15.0 / 8.0) * n * n * n))
* Math.Sin(2.0 * (phi - phi0)) * Math.Cos(2.0 * (phi + phi0))) - (((35.0 / 24.0)
* n * n * n)
* Math.Sin(3.0 * (phi - phi0)) * Math.Cos(3.0 * (phi + phi0))));
double I = M + N0;
double II = (v / 2.0) * Math.Sin(phi) * Math.Cos(phi);
double III = (v / 24.0) * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 3.0)
* (5.0 - Util.tanSquared(phi) + (9.0 * etaSquared));
double IIIA = (v / 720.0) * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 5.0)
* (61.0 - (58.0 * Util.tanSquared(phi)) + Math.Pow(Math.Tan(phi), 4.0));
double IV = v * Math.Cos(phi);
double V = (v / 6.0) * Math.Pow(Math.Cos(phi), 3.0)
* ((v / rho) - Util.tanSquared(phi));
double VI = (v / 120.0)
* Math.Pow(Math.Cos(phi), 5.0)
* (5.0 - (18.0 * Util.tanSquared(phi)) + (Math.Pow(Math.Tan(phi), 4.0))
+ (14 * etaSquared) - (58 * Util.tanSquared(phi) * etaSquared));
N = I + (II * Math.Pow(lambda - lambda0, 2.0))
+ (III * Math.Pow(lambda - lambda0, 4.0))
+ (IIIA * Math.Pow(lambda - lambda0, 6.0));
E = E0 + (IV * (lambda - lambda0)) + (V * Math.Pow(lambda - lambda0, 3.0))
+ (VI * Math.Pow(lambda - lambda0, 5.0));
Easting = E;
Northing = N;
}
/// <summary>
/// Create an IrishRef object from the given latitude and longitude.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
public IrishRef(LatLng ll) : base(Ireland1965Datum.Instance)
{
ll.ToDatum(Ireland1965Datum.Instance);
Ellipsoid.Ellipsoid ellipsoid = Datum.ReferenceEllipsoid;
const double n0 = FalseOriginNorthing;
const double e0 = FalseOriginEasting;
double phi0 = Util.ToRadians(FalseOriginLatitude);
double lambda0 = Util.ToRadians(FalseOriginLongitude);
double a = ellipsoid.SemiMajorAxis * ScaleFactor;
double b = ellipsoid.SemiMinorAxis * ScaleFactor;
double eSquared = ellipsoid.EccentricitySquared;
double phi = Util.ToRadians(ll.Latitude);
double lambda = Util.ToRadians(ll.Longitude);
double n = (a - b) / (a + b);
double v = a
* Math.Pow(1.0 - eSquared * Util.SinSquared(phi), -0.5);
double rho = a * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.SinSquared(phi), -1.5);
double etaSquared = (v / rho) - 1.0;
double m = b
* (((1 + n + ((5.0 / 4.0) * n * n) + ((5.0 / 4.0) * n * n * n)) * (phi - phi0))
- (((3 * n) + (3 * n * n) + ((21.0 / 8.0) * n * n * n))
* Math.Sin(phi - phi0) * Math.Cos(phi + phi0))
+ ((((15.0 / 8.0) * n * n) + ((15.0 / 8.0) * n * n * n))
* Math.Sin(2.0 * (phi - phi0)) * Math.Cos(2.0 * (phi + phi0))) - (((35.0 / 24.0)
* n * n * n)
* Math.Sin(3.0 * (phi - phi0)) * Math.Cos(3.0 * (phi + phi0))));
double I = m + n0;
double ii = (v / 2.0) * Math.Sin(phi) * Math.Cos(phi);
double iii = (v / 24.0) * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 3.0)
* (5.0 - Util.TanSquared(phi) + (9.0 * etaSquared));
double iiia = (v / 720.0) * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 5.0)
* (61.0 - (58.0 * Util.TanSquared(phi)) + Math.Pow(Math.Tan(phi), 4.0));
double iv = v * Math.Cos(phi);
double V = (v / 6.0) * Math.Pow(Math.Cos(phi), 3.0)
* ((v / rho) - Util.TanSquared(phi));
double vi = (v / 120.0)
* Math.Pow(Math.Cos(phi), 5.0)
* (5.0 - (18.0 * Util.TanSquared(phi)) + (Math.Pow(Math.Tan(phi), 4.0))
+ (14 * etaSquared) - (58 * Util.TanSquared(phi) * etaSquared));
double N = I + (ii * Math.Pow(lambda - lambda0, 2.0))
+ (iii * Math.Pow(lambda - lambda0, 4.0))
+ (iiia * Math.Pow(lambda - lambda0, 6.0));
double e = e0 + (iv * (lambda - lambda0)) + (V * Math.Pow(lambda - lambda0, 3.0))
+ (vi * Math.Pow(lambda - lambda0, 5.0));
Easting = e;
Northing = N;
}
/// <summary>
/// Create a new earth-centred, earth-fixed reference from the given latitude
/// and longitude.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
public ECEFRef(LatLng ll) : base(ll.Datum)
{
DotNetCoords.Ellipsoid.Ellipsoid ellipsoid = Datum.ReferenceEllipsoid;
double phi = Util.ToRadians(ll.Latitude);
double lambda = Util.ToRadians(ll.Longitude);
double h = ll.Height;
double a = ellipsoid.SemiMajorAxis;
double f = ellipsoid.Flattening;
double eSquared = (2 * f) - (f * f);
double nphi = a / Math.Sqrt(1 - eSquared * Util.sinSquared(phi));
X = (nphi + h) * Math.Cos(phi) * Math.Cos(lambda);
Y = (nphi + h) * Math.Cos(phi) * Math.Sin(lambda);
Z = (nphi * (1 - eSquared) + h) * Math.Sin(phi);
}
/// <summary>
/// Convert this ECEFRef object to a point represented
/// by a latitude and longitude and a perpendicular height above (or below) a
/// reference ellipsoid.
/// </summary>
/// <returns>
/// The equivalent latitude and longitude.
/// </returns>
public override LatLng ToLatLng()
{
DotNetCoords.Ellipsoid.Ellipsoid ellipsoid = Datum.ReferenceEllipsoid;
double a = ellipsoid.SemiMajorAxis;
double b = ellipsoid.SemiMinorAxis;
double e2Squared = ((a * a) - (b * b)) / (b * b);
double f = ellipsoid.Flattening;
double eSquared = (2 * f) - (f * f);
double p = Math.Sqrt((x * x) + (y * y));
double theta = Math.Atan((z * a) / (p * b));
double phi = Math.Atan((z + (e2Squared * b * Util.sinCubed(theta)))
/ (p - eSquared * a * Util.cosCubed(theta)));
double lambda = Math.Atan2(y, x);
double nphi = a / Math.Sqrt(1 - eSquared * Util.sinSquared(phi));
double h = (p / Math.Cos(phi)) - nphi;
return(new LatLng(Util.ToDegrees(phi), Util.ToDegrees(lambda), h,
WGS84Datum.Instance));
}
