/// <summary>
/// Convert this latitude and longitude into an OSGB (Ordnance Survey of Great
/// Britain) grid reference.
/// </summary>
/// <param name="ll"> The latitude and longitude. </param>
/// <exception cref="ArgumentException"> If the northing or easting are out of range </exception>
public OsRef(LatLng ll)
: base(OSGB36Datum.Instance)
{
ll.ToDatum(OSGB36Datum.Instance);
var airy1830 = Airy1830Ellipsoid.Instance;
var OSGB_F0 = 0.9996012717;
var N0 = -100000.0;
var E0 = 400000.0;
var phi0 = Util.ToRadians(49.0);
var lambda0 = Util.ToRadians(-2.0);
var a = airy1830.SemiMajorAxis;
var b = airy1830.SemiMinorAxis;
var eSquared = airy1830.EccentricitySquared;
var phi = Util.ToRadians(ll.Latitude);
var lambda = Util.ToRadians(ll.Longitude);
var E = 0.0;
var N = 0.0;
var n = (a - b) / (a + b);
var v = a * OSGB_F0
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -0.5);
var rho = a * OSGB_F0 * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -1.5);
var etaSquared = v / rho - 1.0;
var M = b * OSGB_F0
* ((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)));
var I = M + N0;
var II = v / 2.0 * Math.Sin(phi) * Math.Cos(phi);
var III = v / 24.0 * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 3.0)
* (5.0 - Util.tanSquared(phi) + 9.0 * etaSquared);
var 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));
var IV = v * Math.Cos(phi);
var V = v / 6.0 * Math.Pow(Math.Cos(phi), 3.0)
* (v / rho - Util.tanSquared(phi));
var 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);
var ellipsoid = Datum.ReferenceEllipsoid;
var N0 = FALSE_ORIGIN_NORTHING;
var E0 = FALSE_ORIGIN_EASTING;
var phi0 = Util.ToRadians(FALSE_ORIGIN_LATITUDE);
var lambda0 = Util.ToRadians(FALSE_ORIGIN_LONGITUDE);
var a = ellipsoid.SemiMajorAxis * SCALE_FACTOR;
var b = ellipsoid.SemiMinorAxis * SCALE_FACTOR;
var eSquared = ellipsoid.EccentricitySquared;
var phi = Util.ToRadians(ll.Latitude);
var lambda = Util.ToRadians(ll.Longitude);
var E = 0.0;
var N = 0.0;
var n = (a - b) / (a + b);
var v = a
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -0.5);
var rho = a * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -1.5);
var etaSquared = v / rho - 1.0;
var 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)));
var I = M + N0;
var II = v / 2.0 * Math.Sin(phi) * Math.Cos(phi);
var III = v / 24.0 * Math.Sin(phi) * Math.Pow(Math.Cos(phi), 3.0)
* (5.0 - Util.tanSquared(phi) + 9.0 * etaSquared);
var 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));
var IV = v * Math.Cos(phi);
var V = v / 6.0 * Math.Pow(Math.Cos(phi), 3.0)
* (v / rho - Util.tanSquared(phi));
var 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>
/// Convert this latitude and longitude into an OSGB (Ordnance Survey of Great
/// Britain) grid reference.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
/// <exception cref="ArgumentException">If the northing or easting are out of range</exception>
public OSRef(LatLng ll) : base(OSGB36Datum.Instance)
{
ll.ToDatum(OSGB36Datum.Instance);
Airy1830Ellipsoid airy1830 = Airy1830Ellipsoid.Instance;
double OSGB_F0 = 0.9996012717;
double N0 = -100000.0;
double E0 = 400000.0;
double phi0 = Util.ToRadians(49.0);
double lambda0 = Util.ToRadians(-2.0);
double a = airy1830.SemiMajorAxis;
double b = airy1830.SemiMinorAxis;
double eSquared = airy1830.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 * OSGB_F0
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -0.5);
double rho = a * OSGB_F0 * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -1.5);
double etaSquared = (v / rho) - 1.0;
double M = (b * OSGB_F0)
* (((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);
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>
/// Convert this latitude and longitude into an OSGB (Ordnance Survey of Great
/// Britain) grid reference.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
/// <exception cref="ArgumentException">If the northing or easting are out of range</exception>
public OSRef(LatLng ll) : base(OSGB36Datum.Instance)
{
ll.ToDatum(OSGB36Datum.Instance);
Airy1830Ellipsoid airy1830 = Airy1830Ellipsoid.Instance;
const double osgbF0 = 0.9996012717;
const double n0 = -100000.0;
const double e0 = 400000.0;
double phi0 = Util.ToRadians(49.0);
double lambda0 = Util.ToRadians(-2.0);
double a = airy1830.SemiMajorAxis;
double b = airy1830.SemiMinorAxis;
double eSquared = airy1830.EccentricitySquared;
double phi = Util.ToRadians(ll.Latitude);
double lambda = Util.ToRadians(ll.Longitude);
double n = (a - b) / (a + b);
double v = a * osgbF0
* Math.Pow(1.0 - eSquared * Util.SinSquared(phi), -0.5);
double rho = a * osgbF0 * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.SinSquared(phi), -1.5);
double etaSquared = (v / rho) - 1.0;
double m = (b * osgbF0)
* (((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 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 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);
var ellipsoid = Datum.ReferenceEllipsoid;
var N0 = FALSE_ORIGIN_NORTHING;
var E0 = FALSE_ORIGIN_EASTING;
var phi0 = Util.ToRadians(FALSE_ORIGIN_LATITUDE);
var lambda0 = Util.ToRadians(FALSE_ORIGIN_LONGITUDE);
var a = ellipsoid.SemiMajorAxis*SCALE_FACTOR;
var b = ellipsoid.SemiMinorAxis*SCALE_FACTOR;
var eSquared = ellipsoid.EccentricitySquared;
var phi = Util.ToRadians(ll.Latitude);
var lambda = Util.ToRadians(ll.Longitude);
var E = 0.0;
var N = 0.0;
var n = (a - b)/(a + b);
var v = a
*Math.Pow(1.0 - eSquared*Util.sinSquared(phi), -0.5);
var rho = a*(1.0 - eSquared)
*Math.Pow(1.0 - eSquared*Util.sinSquared(phi), -1.5);
var etaSquared = v/rho - 1.0;
var 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)));
var I = M + N0;
var II = v/2.0*Math.Sin(phi)*Math.Cos(phi);
var III = v/24.0*Math.Sin(phi)*Math.Pow(Math.Cos(phi), 3.0)
*(5.0 - Util.tanSquared(phi) + 9.0*etaSquared);
var 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));
var IV = v*Math.Cos(phi);
var V = v/6.0*Math.Pow(Math.Cos(phi), 3.0)
*(v/rho - Util.tanSquared(phi));
var 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);
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>
/// Convert this latitude and longitude into an OSGB (Ordnance Survey of Great
/// Britain) grid reference.
/// </summary>
/// <param name="ll"> The latitude and longitude. </param>
/// <exception cref="ArgumentException"> If the northing or easting are out of range </exception>
public OsRef(LatLng ll)
: base(OSGB36Datum.Instance)
{
ll.ToDatum(OSGB36Datum.Instance);
var airy1830 = Airy1830Ellipsoid.Instance;
var OSGB_F0 = 0.9996012717;
var N0 = -100000.0;
var E0 = 400000.0;
var phi0 = Util.ToRadians(49.0);
var lambda0 = Util.ToRadians(-2.0);
var a = airy1830.SemiMajorAxis;
var b = airy1830.SemiMinorAxis;
var eSquared = airy1830.EccentricitySquared;
var phi = Util.ToRadians(ll.Latitude);
var lambda = Util.ToRadians(ll.Longitude);
var E = 0.0;
var N = 0.0;
var n = (a - b)/(a + b);
var v = a*OSGB_F0
*Math.Pow(1.0 - eSquared*Util.sinSquared(phi), -0.5);
var rho = a*OSGB_F0*(1.0 - eSquared)
*Math.Pow(1.0 - eSquared*Util.sinSquared(phi), -1.5);
var etaSquared = v/rho - 1.0;
var M = b*OSGB_F0
*((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)));
var I = M + N0;
var II = v/2.0*Math.Sin(phi)*Math.Cos(phi);
var III = v/24.0*Math.Sin(phi)*Math.Pow(Math.Cos(phi), 3.0)
*(5.0 - Util.tanSquared(phi) + 9.0*etaSquared);
var 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));
var IV = v*Math.Cos(phi);
var V = v/6.0*Math.Pow(Math.Cos(phi), 3.0)
*(v/rho - Util.tanSquared(phi));
var 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>
/// Convert this latitude and longitude into an OSGB (Ordnance Survey of Great
/// Britain) grid reference.
/// </summary>
/// <param name="ll">The latitude and longitude.</param>
/// <exception cref="ArgumentException">If the northing or easting are out of range</exception>
public OSRef(LatLng ll)
: base(OSGB36Datum.Instance)
{
ll.ToDatum(OSGB36Datum.Instance);
Airy1830Ellipsoid airy1830 = Airy1830Ellipsoid.Instance;
double OSGB_F0 = 0.9996012717;
double N0 = -100000.0;
double E0 = 400000.0;
double phi0 = Util.ToRadians(49.0);
double lambda0 = Util.ToRadians(-2.0);
double a = airy1830.SemiMajorAxis;
double b = airy1830.SemiMinorAxis;
double eSquared = airy1830.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 * OSGB_F0
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -0.5);
double rho = a * OSGB_F0 * (1.0 - eSquared)
* Math.Pow(1.0 - eSquared * Util.sinSquared(phi), -1.5);
double etaSquared = (v / rho) - 1.0;
double M = (b * OSGB_F0)
* (((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;
}
