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高斯反算

作者:互联网

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ArcGISPublic.GaussHelper
{

class Gausstojw
{

private double atanh(double z)
{

return 0.5 * Math.Log((1 + z) / (1 - z));

}


private double asinh(double z)
{

return Math.Log(z + Math.Sqrt(z * z + 1));

}

 

private double ψ = -9999;

private double lambda = -9999;


public double Longitude
{

get
{

if (lambda == -9999)
{


GuassToGeo(_a, _b, 1 / _invf, _FE, _FN, _X, _Y, _CM, _k);

}

return lambda;

}

}


private double _a = 6378245.0;

private double _b = (298.300000000000010000 - 1) / 298.300000000000010000 * 6378245.0;

private double _invf = 298.300000000000010000;

private double _FE = 500000;

private double _FN = 0;

private double _CM = 105;

private double _k = 1;


public int Zone
{

set
{

_CM = value * 6 - 3;

}

}


public double SemiMajor
{

set
{

_a = value;

}

get
{

return _a;

}

}


public double Lantitude
{

get
{

if (lambda == -9999)
{

GuassToGeo(_a, _b, 1 / _invf, _FE, _FN, _X, _Y, _CM, _k);

}

return ψ;

}

}


private double _X;

private double _Y;

public double X
{

set
{

_X = value;

}

}


public double Y
{


set
{

_Y = value;

}

}


private void GuassToGeo(double a, double b, double f, double FE, double FN, double E, double N, double λ0, double k0)
{

//double f = (a - b) / a;

double n = f / (2 - f);

double e = Math.Sqrt((a * a - b * b)) / a;

double B = (a / (1 + n)) * (1 + n * n / 4 + n * n * n * n / 64);


double h1 = (n / 2) - (2.0 / 3) * n * n + (37.0 / 96) * n * n * n - (1.0 / 360) * n * n * n * n;

double h2 = (1.0 / 48) * n * n + (1.0 / 15) * n * n * n - (437.0 / 1440) * n * n * n * n;

double h3 = (17.0 / 480) * n * n * n - (37.0 / 840) * n * n * n * n;

double h4 = (4397.0 / 161280) * n * n * n * n;


double η = (E - FE) / (B * k0);

double ζ = (N - FN) / (B * k0);

double ζ1 = h1 * Math.Sin(2 * ζ) * Math.Cosh(2 * η);

double ζ2 = h2 * Math.Sin(4 * ζ) * Math.Cosh(4 * η);

double ζ3 = h3 * Math.Sin(6 * ζ) * Math.Cosh(6 * η);

double ζ4 = h4 * Math.Sin(8 * ζ) * Math.Cosh(8 * η);

double ζ0 = ζ - (ζ1 + ζ2 + ζ3 + ζ4);


double η1 = h1 * Math.Cos(2 * ζ) * Math.Sinh(2 * η);

double η2 = h2 * Math.Cos(4 * ζ) * Math.Sinh(4 * η);

double η3 = h3 * Math.Cos(6 * ζ) * Math.Sinh(6 * η);

double η4 = h4 * Math.Cos(8 * ζ) * Math.Sinh(8 * η);

double η0 = η - (η1 + η2 + η3 + η4);


double Β = Math.Asin(Math.Sin(ζ0) / Math.Cosh(η0));

double Q = asinh(Math.Tan(Β));

double Q1 = Q + (e * atanh(e * Math.Tanh(Q)));

for (int i = 1; i < 400; i++)
{

Q1 = Q + (e * atanh(e * Math.Tanh(Q1)));

}


ψ = Math.Atan(Math.Sinh(Q1)) * 180 / 3.1415926;

lambda = λ0 + Math.Asin(Math.Tanh(η0) / Math.Cos(Β)) * 180 / 3.1415926;

//System.Console.WriteLine("wd:{0},jd:{1}", ψ, λ);

}
}
}

标签:高斯,double,System,private,反算,FE,public,Math
来源: https://www.cnblogs.com/wzyong/p/16066506.html