C# UTM坐标和WGS84坐标转换小工具
工具根据:http://home.hiwaay.net/~taylorc/toolbox/geography/geoutm.html js代码改编
工具源码github:https://github.com/JeroLong/TUMAndWGS84TransTool.git
效果:
主要代码:
- using System;
- using System.Collections.Generic;
- using System.Linq;
- using System.Text;
- namespace UTMAndWGS84TransTool
- {
- public class UTMAndWGS84
- {
- static double pi = Math.PI;
- /* Ellipsoid model constants (actual values here are for WGS84) */
- static double sm_a = 6378137.0;
- static double sm_b = 6356752.314;
- static double sm_EccSquared = 6.69437999013e-03;
- static double UTMScaleFactor = 0.9996;
- /*
- * DegToRad
- *
- * Converts degrees to radians.
- *
- */
- private static double DegToRad(double deg)
- {
- return (deg / 180.0 * pi);
- }
- /*
- * RadToDeg
- *
- * Converts radians to degrees.
- *
- */
- private static double RadToDeg(double rad)
- {
- return (rad / pi * 180.0);
- }
- /*
- * ArcLengthOfMeridian
- *
- * Computes the ellipsoidal distance from the equator to a point at a
- * given latitude.
- *
- * Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J.,
- * GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994.
- *
- * Inputs:
- * phi - Latitude of the point, in radians.
- *
- * Globals:
- * sm_a - Ellipsoid model major axis.
- * sm_b - Ellipsoid model minor axis.
- *
- * Returns:
- * The ellipsoidal distance of the point from the equator, in meters.
- *
- */
- private static 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;
- }
- /*
- * UTMCentralMeridian
- *
- * Determines the central meridian for the given UTM zone.
- *
- * Inputs:
- * zone - An integer value designating the UTM zone, range [1,60].
- *
- * Returns:
- * The central meridian for the given UTM zone, in radians, or zero
- * if the UTM zone parameter is outside the range [1,60].
- * Range of the central meridian is the radian equivalent of [-177,+177].
- *
- */
- private static double UTMCentralMeridian(double zone)
- {
- double cmeridian;
- cmeridian = DegToRad(-183.0 + (zone * 6.0));
- return cmeridian;
- }
- /*
- * FootpointLatitude
- *
- * Computes the footpoint latitude for use in converting transverse
- * Mercator coordinates to ellipsoidal coordinates.
- *
- * Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J.,
- * GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994.
- *
- * Inputs:
- * y - The UTM northing coordinate, in meters.
- *
- * Returns:
- * The footpoint latitude, in radians.
- *
- */
- private static 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)
- * ( + (Math.Pow(n, 2.0) / ) + (Math.Pow(n, 4.0) / ));
- /* 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;
- }
- /*
- * MapLatLonToXY
- *
- * Converts a latitude/longitude pair to x and y coordinates in the
- * Transverse Mercator projection. Note that Transverse Mercator is not
- * the same as UTM; a scale factor is required to convert between them.
- *
- * Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J.,
- * GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994.
- *
- * Inputs:
- * phi - Latitude of the point, in radians.
- * lambda - Longitude of the point, in radians.
- * lambda0 - Longitude of the central meridian to be used, in radians.
- *
- * Outputs:
- * xy - A 2-element array containing the x and y coordinates
- * of the computed point.
- *
- * Returns:
- * The function does not return a value.
- *
- */
- private static void MapLatLonToXY(double phi, double lambda, double lambda0, out double[] xy)
- {
- 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( + 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 + * 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);
- xy = new double[];
- /* Calculate easting (x) */
- xy[] = 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[] = 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;
- }
- /*
- * MapXYToLatLon
- *
- * Converts x and y coordinates in the Transverse Mercator projection to
- * a latitude/longitude pair. Note that Transverse Mercator is not
- * the same as UTM; a scale factor is required to convert between them.
- *
- * Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J.,
- * GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994.
- *
- * Inputs:
- * x - The easting of the point, in meters.
- * y - The northing of the point, in meters.
- * lambda0 - Longitude of the central meridian to be used, in radians.
- *
- * Outputs:
- * philambda - A 2-element containing the latitude and longitude
- * in radians.
- *
- * Returns:
- * The function does not return a value.
- *
- * Remarks:
- * The local variables Nf, nuf2, tf, and tf2 serve the same purpose as
- * N, nu2, t, and t2 in MapLatLonToXY, but they are computed with respect
- * to the footpoint latitude phif.
- *
- * x1frac, x2frac, x2poly, x3poly, etc. are to enhance readability and
- * to optimize computations.
- *
- */
- private static void MapXYToLatLon(double x, double y, double lambda0, out double[] xy)
- {
- 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( + 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 - * 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 + * (tf4 * tf2);
- xy = new double[];
- /* Calculate latitude */
- xy[] = 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 */
- xy[] = 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;
- }
- /*
- * LatLonToUTMXY
- *
- * Converts a latitude/longitude pair to x and y coordinates in the
- * Universal Transverse Mercator projection.
- *
- * Inputs:
- * lat - Latitude of the point, in radians.
- * lon - Longitude of the point, in radians.
- * zone - UTM zone to be used for calculating values for x and y.
- * If zone is less than 1 or greater than 60, the routine
- * will determine the appropriate zone from the value of lon.
- *
- * Outputs:
- * xy - A 2-element array where the UTM x and y values will be stored.
- *
- * Returns:
- * The UTM zone used for calculating the values of x and y.
- *
- */
- public static double[] LatLonToUTMXY(double lat, double lon)
- {
- double zone = Math.Floor((lon + 180.0) / ) + ;
- double[] xy = new double[];
- MapLatLonToXY(DegToRad(lat),DegToRad (lon), UTMCentralMeridian(zone), out xy);
- /* Adjust easting and northing for UTM system. */
- xy[] = xy[] * UTMScaleFactor + 500000.0;
- xy[] = xy[] * UTMScaleFactor;
- if (xy[] < 0.0)
- xy[] = xy[] + 10000000.0;
- return new double[] { xy[], xy[], zone };
- }
- /*
- * UTMXYToLatLon
- *
- * Converts x and y coordinates in the Universal Transverse Mercator
- * projection to a latitude/longitude pair.
- *
- * Inputs:
- * x - The easting of the point, in meters.
- * y - The northing of the point, in meters.
- * zone - The UTM zone in which the point lies.
- * southhemi - True if the point is in the southern hemisphere;
- * false otherwise.
- *
- * Outputs:
- * latlon - A 2-element array containing the latitude and
- * longitude of the point, in radians.
- *
- * Returns:
- * The function does not return a value.
- *
- */
- public static double[] UTMXYToLatLon(double x, double y, double zone, 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[] xy = new double[];
- MapXYToLatLon(x, y, cmeridian, out xy);
- xy[] = RadToDeg(xy[]);
- xy[] = RadToDeg(xy[]);
- return xy;
- }
- }
- }
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