using System; using System.Net; using System.Windows; using System.Windows.Controls; using System.Windows.Documents; using System.Windows.Ink; using System.Windows.Input; using System.Windows.Media; using System.Windows.Media.Animation; using System.Windows.Shapes; namespace trafikappen.Utils { /* * * Copyright 1997-1998 by Charles L. Taylor * * http://home.hiwaay.net/~taylorc/toolbox/geography/geoutm.html * * * * Javascript converted from http://cambertx.com/utm/ * * * * Converted to C# by Henning M. Stephansen 2011 * * http://www.henning.ms * * * * Free to use! */ public class GeoUTMConverter { public double Latitude { get; set; } public double Longitude { get; set; } public double Zone { get; set; } public double X {get;set;} public double Y {get;set;} public Hemisphere Hemi { get; set; } private double pi = 3.14159265358979; private double sm_a = 6378137.0; private double sm_b = 6356752.314; private double sm_EccSquared = 6.69437999013e-03; private double UTMScaleFactor = 0.9996; public enum Hemisphere { Northern = 0, Southern = 1 } public GeoUTMConverter() { } public void ToUTM(double Latitude, double Longitude) { this.Latitude = Latitude; this.Longitude = Longitude; Zone = Math.Floor((Longitude + 180.0) / 6) + 1; GeoUTMConverterXY(DegToRad(Latitude), DegToRad(Longitude), Zone); } public void ToLatLon(double X, double Y, int zone, Hemisphere Hemi) { this.X = X; this.Y = Y; this.Zone = zone; if (Hemi == Hemisphere.Northern) { UTMXYToLatLon(X, Y, false); } else { UTMXYToLatLon(X, Y, true); } } private double DegToRad(double degrees) { return (degrees / 180.0 * pi); } private double RadToDeg(double radians) { return (radians / pi * 180.0); } private double MetersToFeet(double meters) { return (meters * 3.28084); } private double FeetToMeters(double feet) { return (feet / 3.28084); } private double ArcLengthOfMeridian(double phi) { double alpha, beta, gamma, delta, epsilon, n; double result; /* Precalculate n */ n = (sm_a - sm_b) / (sm_a + sm_b); /* Precalculate alpha */ alpha = ((sm_a + sm_b) / 2.0) * (1.0 + (Math.Pow(n, 2.0) / 4.0) + (Math.Pow(n, 4.0) / 64.0)); /* Precalculate beta */ beta = (-3.0 * n / 2.0) + (9.0 * Math.Pow(n, 3.0) / 16.0) + (-3.0 * Math.Pow(n, 5.0) / 32.0); /* Precalculate gamma */ gamma = (15.0 * Math.Pow(n, 2.0) / 16.0) + (-15.0 * Math.Pow(n, 4.0) / 32.0); /* Precalculate delta */ delta = (-35.0 * Math.Pow(n, 3.0) / 48.0) + (105.0 * Math.Pow(n, 5.0) / 256.0); /* Precalculate epsilon */ epsilon = (315.0 * Math.Pow(n, 4.0) / 512.0); /* Now calculate the sum of the series and return */ result = alpha * (phi + (beta * Math.Sin(2.0 * phi)) + (gamma * Math.Sin(4.0 * phi)) + (delta * Math.Sin(6.0 * phi)) + (epsilon * Math.Sin(8.0 * phi))); return result; } private double UTMCentralMeridian(double zone) { return (DegToRad(-183.0 + (zone * 6.0))); } private double FootpointLatitude(double y) { double y_, alpha_, beta_, gamma_, delta_, epsilon_, n; double result; /* Precalculate n (Eq. 10.18) */ n = (sm_a - sm_b) / (sm_a + sm_b); /* Precalculate alpha_ (Eq. 10.22) */ /* (Same as alpha in Eq. 10.17) */ alpha_ = ((sm_a + sm_b) / 2.0) * (1 + (Math.Pow(n, 2.0) / 4) + (Math.Pow(n, 4.0) / 64)); /* Precalculate y_ (Eq. 10.23) */ y_ = y / alpha_; /* Precalculate beta_ (Eq. 10.22) */ beta_ = (3.0 * n / 2.0) + (-27.0 * Math.Pow(n, 3.0) / 32.0) + (269.0 * Math.Pow(n, 5.0) / 512.0); /* Precalculate gamma_ (Eq. 10.22) */ gamma_ = (21.0 * Math.Pow(n, 2.0) / 16.0) + (-55.0 * Math.Pow(n, 4.0) / 32.0); /* Precalculate delta_ (Eq. 10.22) */ delta_ = (151.0 * Math.Pow(n, 3.0) / 96.0) + (-417.0 * Math.Pow(n, 5.0) / 128.0); /* Precalculate epsilon_ (Eq. 10.22) */ epsilon_ = (1097.0 * Math.Pow(n, 4.0) / 512.0); /* Now calculate the sum of the series (Eq. 10.21) */ result = y_ + (beta_ * Math.Sin(2.0 * y_)) + (gamma_ * Math.Sin(4.0 * y_)) + (delta_ * Math.Sin(6.0 * y_)) + (epsilon_ * Math.Sin(8.0 * y_)); return result; } private double[] MapLatLonToXY(double phi, double lambda, double lambda0) { double[] xy = new double[2]; double N, nu2, ep2, t, t2, l; double l3coef, l4coef, l5coef, l6coef, l7coef, l8coef; double tmp; /* Precalculate ep2 */ ep2 = (Math.Pow(sm_a, 2.0) - Math.Pow(sm_b, 2.0)) / Math.Pow(sm_b, 2.0); /* Precalculate nu2 */ nu2 = ep2 * Math.Pow(Math.Cos(phi), 2.0); /* Precalculate N */ N = Math.Pow(sm_a, 2.0) / (sm_b * Math.Sqrt(1 + nu2)); /* Precalculate t */ t = Math.Tan(phi); t2 = t * t; tmp = (t2 * t2 * t2) - Math.Pow(t, 6.0); /* Precalculate l */ l = lambda - lambda0; /* Precalculate coefficients for l**n in the equations below so a normal human being can read the expressions for easting and northing -- l**1 and l**2 have coefficients of 1.0 */ l3coef = 1.0 - t2 + nu2; l4coef = 5.0 - t2 + 9 * nu2 + 4.0 * (nu2 * nu2); l5coef = 5.0 - 18.0 * t2 + (t2 * t2) + 14.0 * nu2 - 58.0 * t2 * nu2; l6coef = 61.0 - 58.0 * t2 + (t2 * t2) + 270.0 * nu2 - 330.0 * t2 * nu2; l7coef = 61.0 - 479.0 * t2 + 179.0 * (t2 * t2) - (t2 * t2 * t2); l8coef = 1385.0 - 3111.0 * t2 + 543.0 * (t2 * t2) - (t2 * t2 * t2); /* Calculate easting (x) */ xy[0] = N * Math.Cos(phi) * l + (N / 6.0 * Math.Pow(Math.Cos(phi), 3.0) * l3coef * Math.Pow(l, 3.0)) + (N / 120.0 * Math.Pow(Math.Cos(phi), 5.0) * l5coef * Math.Pow(l, 5.0)) + (N / 5040.0 * Math.Pow(Math.Cos(phi), 7.0) * l7coef * Math.Pow(l, 7.0)); /* Calculate northing (y) */ xy[1] = ArcLengthOfMeridian(phi) + (t / 2.0 * N * Math.Pow(Math.Cos(phi), 2.0) * Math.Pow(l, 2.0)) + (t / 24.0 * N * Math.Pow(Math.Cos(phi), 4.0) * l4coef * Math.Pow(l, 4.0)) + (t / 720.0 * N * Math.Pow(Math.Cos(phi), 6.0) * l6coef * Math.Pow(l, 6.0)) + (t / 40320.0 * N * Math.Pow(Math.Cos(phi), 8.0) * l8coef * Math.Pow(l, 8.0)); return xy; } private double[] MapXYToLatLon(double x, double y, double lambda0) { double[] latlon = new double[2]; double phif, Nf, Nfpow, nuf2, ep2, tf, tf2, tf4, cf; double x1frac, x2frac, x3frac, x4frac, x5frac, x6frac, x7frac, x8frac; double x2poly, x3poly, x4poly, x5poly, x6poly, x7poly, x8poly; /* Get the value of phif, the footpoint latitude. */ phif = FootpointLatitude (y); /* Precalculate ep2 */ ep2 = (Math.Pow (sm_a, 2.0) - Math.Pow (sm_b, 2.0)) / Math.Pow (sm_b, 2.0); /* Precalculate cos (phif) */ cf = Math.Cos (phif); /* Precalculate nuf2 */ nuf2 = ep2 * Math.Pow (cf, 2.0); /* Precalculate Nf and initialize Nfpow */ Nf = Math.Pow (sm_a, 2.0) / (sm_b * Math.Sqrt (1 + nuf2)); Nfpow = Nf; /* Precalculate tf */ tf = Math.Tan (phif); tf2 = tf * tf; tf4 = tf2 * tf2; /* Precalculate fractional coefficients for x**n in the equations below to simplify the expressions for latitude and longitude. */ x1frac = 1.0 / (Nfpow * cf); Nfpow *= Nf; /* now equals Nf**2) */ x2frac = tf / (2.0 * Nfpow); Nfpow *= Nf; /* now equals Nf**3) */ x3frac = 1.0 / (6.0 * Nfpow * cf); Nfpow *= Nf; /* now equals Nf**4) */ x4frac = tf / (24.0 * Nfpow); Nfpow *= Nf; /* now equals Nf**5) */ x5frac = 1.0 / (120.0 * Nfpow * cf); Nfpow *= Nf; /* now equals Nf**6) */ x6frac = tf / (720.0 * Nfpow); Nfpow *= Nf; /* now equals Nf**7) */ x7frac = 1.0 / (5040.0 * Nfpow * cf); Nfpow *= Nf; /* now equals Nf**8) */ x8frac = tf / (40320.0 * Nfpow); /* Precalculate polynomial coefficients for x**n. -- x**1 does not have a polynomial coefficient. */ x2poly = -1.0 - nuf2; x3poly = -1.0 - 2 * tf2 - nuf2; x4poly = 5.0 + 3.0 * tf2 + 6.0 * nuf2 - 6.0 * tf2 * nuf2 - 3.0 * (nuf2 *nuf2) - 9.0 * tf2 * (nuf2 * nuf2); x5poly = 5.0 + 28.0 * tf2 + 24.0 * tf4 + 6.0 * nuf2 + 8.0 * tf2 * nuf2; x6poly = -61.0 - 90.0 * tf2 - 45.0 * tf4 - 107.0 * nuf2 + 162.0 * tf2 * nuf2; x7poly = -61.0 - 662.0 * tf2 - 1320.0 * tf4 - 720.0 * (tf4 * tf2); x8poly = 1385.0 + 3633.0 * tf2 + 4095.0 * tf4 + 1575 * (tf4 * tf2); /* Calculate latitude */ latlon[0] = phif + x2frac * x2poly * (x * x) + x4frac * x4poly * Math.Pow (x, 4.0) + x6frac * x6poly * Math.Pow (x, 6.0) + x8frac * x8poly * Math.Pow (x, 8.0); /* Calculate longitude */ latlon[1] = lambda0 + x1frac * x + x3frac * x3poly * Math.Pow (x, 3.0) + x5frac * x5poly * Math.Pow (x, 5.0) + x7frac * x7poly * Math.Pow (x, 7.0); return latlon; } private void GeoUTMConverterXY(double lat, double lon, double zone) { double[] xy = MapLatLonToXY(lat, lon, UTMCentralMeridian(zone)); xy[0] = xy[0] * UTMScaleFactor + 500000.0; xy[1] = xy[1] * UTMScaleFactor; if (xy[1] < 0.0) xy[1] = xy[1] + 10000000.0; this.X = Convert.ToInt32(xy[0]); this.Y = Convert.ToInt32(xy[1]); //this.X = FeetToMeters(this.X); //this.Y = FeetToMeters(this.Y); } private void UTMXYToLatLon(double x, double y, bool southhemi) { double cmeridian; x -= 500000.0; x /= UTMScaleFactor; /* If in southern hemisphere, adjust y accordingly. */ if (southhemi) y -= 10000000.0; y /= UTMScaleFactor; cmeridian = UTMCentralMeridian(Zone); double[] latlon = MapXYToLatLon(x, y, cmeridian); this.Latitude = RadToDeg(latlon[0]); this.Longitude = RadToDeg(latlon[1]); } } }