//高斯投影正、反算
//////6度带宽 54年北京坐标系
//高斯投影由经纬度(Unit:DD)反算大地坐标(含带号，Unit:Metres)
void GaussProjCal(double longitude, double latitude, double *X, double *Y) {
int ProjNo=0; int ZoneWide; ////带宽
double longitude1,latitude1, longitude0,latitude0, X0,Y0, xval,yval; double a,f, e2,ee, NN, T,C,A, M, iPI;
iPI = 0.0174532925199433; ////3.1415926535898/180.0; ZoneWide = 6; ////6度带宽
a=6378245.0; f=1.0/298.3; //54年北京坐标系参数 ////a=6378140.0; f=1/298.257; //80年西安坐标系参数 ProjNo = (int)(longitude / ZoneWide) ;
longitude0 = ProjNo * ZoneWide + ZoneWide / 2; longitude0 = longitude0 * iPI ; latitude0=0;
longitude1 = longitude * iPI ; //经度转换为弧度 latitude1 = latitude * iPI ; //纬度转换为弧度 e2=2*f-f*f;
ee=e2*(1.0-e2);
NN=a/sqrt(1.0-e2*sin(latitude1)*sin(latitude1)); T=tan(latitude1)*tan(latitude1); C=ee*cos(latitude1)*cos(latitude1);
A=(longitude1-longitude0)*cos(latitude1);
M=a*((1-e2/4-3*e2*e2/64-5*e2*e2*e2/256)*latitude1-(3*e2/8+3*e2*e2/32+45*e2*e2*e2/1024)*sin(2*latitude1)
+(15*e2*e2/256+45*e2*e2*e2/1024)*sin(4*latitude1)-(35*e2*e2*e2/3072)*sin(6*latitude1));
xval = NN*(A+(1-T+C)*A*A*A/6+(5-18*T+T*T+72*C-58*ee)*A*A*A*A*A/120); yval = M+NN*tan(latitude1)*(A*A/2+(5-T+9*C+4*C*C)*A*A*A*A/24 +(61-58*T+T*T+600*C-330*ee)*A*A*A*A*A*A/720); X0 = 1000000L*(ProjNo+1)+500000L; Y0 = 0;
xval = xval+X0; yval = yval+Y0; *X = xval; *Y = yval; }
//高斯投影由大地坐标(Unit:Metres)反算经纬度(Unit:DD)
void GaussProjInvCal(double X, double Y, double *longitude, double *latitude) {
int ProjNo; int ZoneWide; ////带宽
double longitude1,latitude1, longitude0,latitude0, X0,Y0, xval,yval; double e1,e2,f,a, ee, NN, T,C, M, D,R,u,fai, iPI;
iPI = 0.0174532925199433; ////3.1415926535898/180.0; a = 6378245.0; f = 1.0/298.3; //54年北京坐标系参数 ////a=6378140.0; f=1/298.257; //80年西安坐标系参数 ZoneWide = 6; ////6度带宽
ProjNo = (int)(X/1000000L) ; //查找带号
longitude0 = (ProjNo-1) * ZoneWide + ZoneWide / 2; longitude0 = longitude0 * iPI ; //中央经线 X0 = ProjNo*1000000L+500000L; Y0 = 0;
xval = X-X0; yval = Y-Y0; //带内大地坐标 e2 = 2*f-f*f;
e1 = (1.0-sqrt(1-e2))/(1.0+sqrt(1-e2)); ee = e2/(1-e2); M = yval;
u = M/(a*(1-e2/4-3*e2*e2/64-5*e2*e2*e2/256));
fai = u+(3*e1/2-27*e1*e1*e1/32)*sin(2*u)+(21*e1*e1/16-55*e1*e1*e1*e1/32)*sin(4*u)
+(151*e1*e1*e1/96)*sin(6*u)+(1097*e1*e1*e1*e1/512)*sin(8*u); C = ee*cos(fai)*cos(fai); T = tan(fai)*tan(fai);
NN = a/sqrt(1.0-e2*sin(fai)*sin(fai));
R = a*(1-e2)/sqrt((1-e2*sin(fai)*sin(fai))*(1-e2*sin(fai)*sin(fai))*(1-e2*sin(fai)*sin(fai))); D = xval/NN;
//计算经度(Longitude) 纬度(Latitude)
longitude1 = longitude0+(D-(1+2*T+C)*D*D*D/6+(5-2*C+28*T-3*C*C+8*ee+24*T*T)*D*D*D*D*D/120)/cos(fai);
latitude1 = fai -(NN*tan(fai)/R)*(D*D/2-(5+3*T+10*C-4*C*C-9*ee)*D*D*D*D/24
+(61+90*T+298*C+45*T*T-256*ee-3*C*C)*D*D*D*D*D*D/720); //转换为度 DD
*longitude = longitude1 / iPI; *latitude = latitude1 / iPI; }
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pi=0.0174532925 ※※0.0174532925199433 //π
长半轴a=6378245.0; 扁率f=1.0/298.3; //54年北京坐标系参数 长半轴a=6378140.0; 扁率f=1/298.257; //80年西安坐标系参数 长半轴a=6378137m；扁率f=1:298.257223563。//WGS-84坐标系