public static XYCoord Mercator(ellipsoid ellip, LBCoord _lbc, double _log1, double _log0, double _lat0) { Ellipsoid _ellip = new Ellipsoid(ellip); double e1 = _ellip.e1; double e2 = _ellip.e2; double FE = 0; double FN = 0; //result+="ellipsoid.Clarke1866\n"; double a = _ellip.a; double log0 = _log0 * Math.PI / 180.0; double lat0 = _lat0 * Math.PI / 180.0; double log = _lbc.lon * Math.PI / 180.0; double lat = _lbc.lat * Math.PI / 180.0; double log1 = tools.toRad(_log1); double k0 = Math.Cos(log1) / Math.Sqrt(1 - Math.Pow(e1 * Math.Sin(log1), 2)); double E = FE + a * k0 * (lat - lat0); double N = FN + a * k0 * Math.Log( Math.Tan(Math.PI / 4 + log / 2) * Math.Pow((1 - e1 * Math.Sin(log)) / (1 + e1 * Math.Sin(log)), e1 / 2), Math.E); return(new XYCoord(E, N)); }
public static XYCoord UTM(ellipsoid ellip, bool isSouth_hemisphere, LBCoord _lbc, double _log0, double _lat0) { Ellipsoid _ellip = new Ellipsoid(ellip); double e1 = _ellip.e1; double e2 = _ellip.e2; double k0 = 0.9996; double FE = 500000; double FN = 0; if (isSouth_hemisphere) { FN = 10000000; } double a = _ellip.a; double log0 = _log0 * Math.PI / 180.0; double lat0 = _lat0 * Math.PI / 180.0; double log = _lbc.lon * Math.PI / 180.0; double lat = _lbc.lat * Math.PI / 180.0; double T = Math.Tan(log) * Math.Tan(log); double C = e1 * e1 * Math.Pow(Math.Cos(log), 2) / (1 - e1 * e1); double A = (lat - lat0) * Math.Cos(log); double v = a / Math.Pow(1 - e1 * e1 * Math.Sin(log) * Math.Sin(log), 0.5); double M = a * ((1 - Math.Pow(e1, 2) / 4 - 3 * Math.Pow(e1, 4) / 64 - 5 * Math.Pow(e1, 6) / 256) * log - (3 * Math.Pow(e1, 2) / 8 + 3 * Math.Pow(e1, 4) / 32 + 45 * Math.Pow(e1, 6) / 1024) * Math.Sin(2 * log) + (15 * Math.Pow(e1, 4) / 256 + 45 * Math.Pow(e1, 6) / 1024) * Math.Sin(4 * log) - (35 * Math.Pow(e1, 6) / 3027) * Math.Sin(6 * log)); double M0 = a * ((1 - Math.Pow(e1, 2) / 4 - 3 * Math.Pow(e1, 4) / 64 - 5 * Math.Pow(e1, 6) / 256) * log0 - (3 * Math.Pow(e1, 2) / 8 + 3 * Math.Pow(e1, 4) / 32 + 45 * Math.Pow(e1, 6) / 1024) * Math.Sin(2 * log0) + (15 * Math.Pow(e1, 4) / 256 + 45 * Math.Pow(e1, 6) / 1024) * Math.Sin(4 * log0) - (35 * Math.Pow(e1, 6) / 3027) * Math.Sin(6 * log0)); double E = FE + k0 * v * (A + (1 - T + C) * Math.Pow(A, 3) / 6 + (5 - 18 * T + T * T + 72 * C - 58 * e2 * e2) * Math.Pow(A, 5) / 120); double N = FN + k0 * (M - M0 + v * Math.Tan(log) * (A * A / 2 + (5 - T + 9 * C + 4 * C * C) * Math.Pow(A, 4) / 24 + (61 - 58 * T + T * T + 600 * C - 330 * e2 * e2) * Math.Pow(A, 6) / 720)); return(new XYCoord(E, N)); }
public static XYCoord lambert(ellipsoid ellip, LBCoord _lbc, double _log1, double _log2, double _log0, double _lat0, ref string result) { Ellipsoid _ellip = new Ellipsoid(ellip); double e = _ellip.e1; //result+="ellipsoid.Clarke1866\n"; result += "e:" + e.ToString() + " a:" + _ellip.a.ToString() + "\n"; result += "-------------------------------------\n"; double log1 = _log1 * Math.PI / 180.0; double log2 = _log2 * Math.PI / 180.0; result += "log1:" + log1.ToString() + "\n"; result += "log1:" + log2.ToString() + "\n"; double log0 = _log0 * Math.PI / 180.0; double lat0 = _lat0 * Math.PI / 180.0; result += "log0:" + log0.ToString() + "\n"; result += "lat0:" + lat0.ToString() + "\n"; double log = _lbc.lon * Math.PI / 180.0; double lat = _lbc.lat * Math.PI / 180.0; result += "log:" + log.ToString() + "\n"; result += "lat:" + lat.ToString() + "\n"; //double jiao=Math.Asin(e*Math.Sin(l)); result += "-------------------------------------\n"; double m1 = Math.Cos(log1) / Math.Sqrt(1 - e * e * Math.Sin(log1) * Math.Sin(log1)); double m2 = Math.Cos(log2) / Math.Sqrt(1 - e * e * Math.Sin(log2) * Math.Sin(log2)); result += "m1:" + m1.ToString() + "\n"; result += "m1:" + m2.ToString() + "\n"; double t1 = Lam_gett(log1, e); double t2 = Lam_gett(log2, e); double tF = Lam_gett(log0, e); double t = Lam_gett(log, e); result += "t1:" + t1.ToString() + "\n"; result += "t2:" + t2.ToString() + "\n"; result += "tF:" + tF.ToString() + "\n"; result += "t:" + t.ToString() + "\n"; double n = Math.Log(m1 / m2, Math.E) / Math.Log(t1 / t2, Math.E); double F = m1 / (n * Math.Pow(t1, n)); double r = _ellip.a * F * Math.Pow(t, n); double rF = _ellip.a * (F * Math.Pow(tF, n)); double tht = n * (lat - lat0); result += "a:" + _ellip.a.ToString() + "\n"; result += "n:" + n.ToString() + "\n"; result += "F:" + F.ToString() + "\n"; result += "r:" + r.ToString() + "\n"; result += "rF:" + rF.ToString() + "\n"; result += "tht:" + tht.ToString() + "\n"; return(new XYCoord(r * Math.Sin(tht), rF - r * Math.Cos(tht))); }
public static XYCoord albers(ellipsoid ellip, LBCoord _lbc, double _log1, double _log2, double _log0, double _lat0, ref string result) { Ellipsoid _ellip = new Ellipsoid(ellip); double e = _ellip.e1; result += "e:" + e.ToString() + " a:" + _ellip.a.ToString() + "\n"; result += "-------------------------------------\n"; double l1 = _log1 * Math.PI / 180.0; double l2 = _log2 * Math.PI / 180.0; double l0 = _log0 * Math.PI / 180.0; double lmt0 = _lat0 * Math.PI / 180.0; double l = _lbc.lon * Math.PI / 180.0; double lmt = _lbc.lat * Math.PI / 180.0; result += "l1:" + l1.ToString() + "\n"; result += "l2:" + l2.ToString() + "\n"; result += "l0:" + l0.ToString() + "\n"; result += "lmt0:" + lmt0.ToString() + "\n"; result += "l:" + l.ToString() + "\n"; result += "lmt:" + lmt.ToString() + "\n"; result += "-----------------------\n"; double alpha0 = getalpha(_ellip, l0); double alpha1 = getalpha(_ellip, l1); double alpha2 = getalpha(_ellip, l2); double alpha = getalpha(_ellip, l); result += "alpha0:" + alpha0.ToString() + "\n"; result += "alpha1:" + alpha1.ToString() + "\n"; result += "alpha2:" + alpha2.ToString() + "\n"; result += "alpha:" + alpha.ToString() + "\n"; double m1 = Math.Cos(l1) / Math.Pow(1 - e * e * Math.Sin(l1) * Math.Sin(l1), 0.5); double m2 = Math.Cos(l2) / Math.Pow(1 - e * e * Math.Sin(l2) * Math.Sin(l2), 0.5); result += "m1:" + m1.ToString() + "\n"; result += "m2:" + m2.ToString() + "\n"; double n = (m1 * m1 - m2 * m2) / (alpha2 - alpha1); //double c=_ellip.a*_ellip.a*(m1*m1+n*alpha1); double c = (m1 * m1 * alpha2 - m2 * m2 * alpha1) / (alpha2 - alpha1); result += "n:" + n.ToString() + "\n"; result += "c:" + c.ToString() + "\n"; double tht = n * (lmt - lmt0); double rol = (_ellip.a * Math.Sqrt(c - n * alpha)) / n; double rol0 = (_ellip.a * Math.Sqrt(c - n * alpha0)) / n; result += "tht:" + tht.ToString() + "\n"; result += "rol:" + rol.ToString() + "\n"; result += "rol0:" + rol0.ToString() + "\n"; double E = rol * Math.Sin(tht); double N = rol0 - (rol * Math.Cos(tht)); XYCoord xyc; xyc.X = E; xyc.Y = N; return(xyc); }