📄 geo_utm.h
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#include <math.h>
#define AXIS 6378137
#define K0 0.9996
#define ECC 0.00669437999013
#define EP2 0.006739496742227
#define M_PI (3.14159265358979323846)
#define RADDEG (M_PI/180.0)
#define FN (0.0)
#define FS (10000000.0)
#define FE (500000.0)
double compute(double ecc,double rphi, double sphi, double cphi)
{
double A0, A2, A4, A6;
double e1, e2, e3;
double result;
e1 = ecc;
e2 = ecc*ecc;
e3 = e2*e1;
A0 = 1.0 - e1/4.0 - 3.0*e2/64.0 - 5.0*e3/256.0;
A2 = 3.0*e1/8.0 + 3.0*e2/32.0 + 45.0*e3/1024.0;
A4 = 15.0*e2/256.0 + 45.0*e3/1024.0;
A6 = 35.0*e3/3072.0;
double sphi2 = 2 * sphi * cphi;
double sphi3 = 3 * sphi - 4 * sphi * sphi * sphi;
double cphi2 = cphi*cphi - sphi*sphi;
double cphi3 = 4 * cphi * cphi * cphi - 3 * cphi;
double sphi4 = 2 * sphi2 * cphi2;
double sphi6 = 2 * sphi3 * cphi3;
result = A0*rphi - A2*sphi2 + A4*sphi4 - A6*sphi6;
return result;
}
int geo_to_transverse_mercator(float lat,float lon, double *x, double *y )
{
double T1, T2, T3;
double rphi = lat*RADDEG, rlam = lon*RADDEG;// dlam = rlam;
//double dlam2 = dlam*dlam;
double sphi = sin(rphi), cphi = cos(rphi), tphi = tan(rphi);
double sp2 = sphi*sphi, cp2 = cphi*cphi;
double A = rlam * cphi;
double A2 = A*A;
double A4 = A2*A2;
double T = tphi*tphi;
double C = EP2*cp2;
double RN = AXIS / sqrt(1 - sp2 * ECC);
double N = K0*RN;
//double Q = 0.5*sphi*cphi*N;
//double T1 = meridian_distance( rphi,sphi, MDCFS )*K0*AXIS
T1 = (1.0 - T + C) * A2 * A / 6.0;
T2 = (5.0 - 18.0*T + T*T + 72.0*C - 58.0*EP2)*A4*A/120.0;
*x = N * (A + T1 + T2);
double M = AXIS * compute(ECC, rphi, sphi, cphi);
T1 = (5.0 - T + 9.0*C + 4.0*C*C)*A4/24.0;
T2 = (61.0 - 58.0*T + T + 600.0*C - 330.0*EP2)*A4*A2/720.0;
T3 = A2/2.0 + T1 + T2;
*y = K0 * (M + RN * tphi * T3);
return 1;
}
short geo_to_utm(float lat, float lon, long *izone, double *east,double *north )
{
//const proj_dfn* cnsts = (proj_dfn*)tcnsts;
short status;
float lam0;
long zone = *izone;
/*if(zone < 31)
lam0 = 6 * zone - 183.0;
else if(zone > 30)
lam0 = 6 * zone + 177;*/
if( zone <= 0 || zone > 60 ) // if a zone is provided use it, otherwise compute it.
{ zone = (long)(31.0 + lon / 6.0);
if(zone >= 61) zone = 60;
if(zone <= 0) zone = 1;
*izone = zone;
}
lam0 = zone * 6 - 183.0;
lon = lon - lam0;
//lon -= (zone*6-183); // Change the longitude to offset
status = geo_to_transverse_mercator(lat,lon, east, north );
*east += FE;
if( *north < 0.0 ) *north = -(*north + FS);
return status;
}
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