mirror of
https://github.com/tumic0/GPXSee.git
synced 2024-10-07 23:33:21 +02:00
68 lines
2.0 KiB
C++
68 lines
2.0 KiB
C++
#include <cmath>
|
|
#include "common/wgs84.h"
|
|
#include "datum.h"
|
|
|
|
static Ellipsoid WGS84e = Ellipsoid(WGS84_RADIUS, WGS84_FLATTENING);
|
|
static Datum WGS84 = Datum(&WGS84e, 0.0, 0.0, 0.0);
|
|
|
|
// Abridged Molodensky transformation
|
|
static Coordinates molodensky(const Coordinates &c, const Datum &from,
|
|
const Datum &to)
|
|
{
|
|
double rlat = deg2rad(c.lat());
|
|
double rlon = deg2rad(c.lon());
|
|
|
|
double slat = sin(rlat);
|
|
double clat = cos(rlat);
|
|
double slon = sin(rlon);
|
|
double clon = cos(rlon);
|
|
double ssqlat = slat * slat;
|
|
|
|
double dx = from.dx() - to.dx();
|
|
double dy = from.dy() - to.dy();
|
|
double dz = from.dz() - to.dz();
|
|
|
|
double from_f = from.ellipsoid()->flattening();
|
|
double to_f = to.ellipsoid()->flattening();
|
|
double df = to_f - from_f;
|
|
double from_a = from.ellipsoid()->radius();
|
|
double to_a = to.ellipsoid()->radius();
|
|
double da = to_a - from_a;
|
|
double from_esq = from_f * (2.0 - from_f);
|
|
double adb = 1.0 / (1.0 - from_f);
|
|
double rn = from_a / sqrt(1 - from_esq * ssqlat);
|
|
double rm = from_a * (1 - from_esq) / pow((1 - from_esq * ssqlat), 1.5);
|
|
double from_h = 0.0;
|
|
|
|
double dlat = (-dx * slat * clon - dy * slat * slon + dz * clat + da
|
|
* rn * from_esq * slat * clat / from_a + df * (rm * adb + rn / adb) * slat
|
|
* clat) / (rm + from_h);
|
|
|
|
double dlon = (-dx * slon + dy * clon) / ((rn + from_h) * clat);
|
|
|
|
return Coordinates(c.lon() + rad2deg(dlon), c.lat() + rad2deg(dlat));
|
|
}
|
|
|
|
Datum::Datum(const Ellipsoid *ellipsoid, double dx, double dy,
|
|
double dz) : _ellipsoid(ellipsoid), _dx(dx), _dy(dy), _dz(dz)
|
|
{
|
|
_WGS84 = (*this == WGS84) ? true : false;
|
|
}
|
|
|
|
Coordinates Datum::toWGS84(const Coordinates &c) const
|
|
{
|
|
return _WGS84 ? c : molodensky(c, *this, WGS84);
|
|
}
|
|
|
|
Coordinates Datum::fromWGS84(const Coordinates &c) const
|
|
{
|
|
return _WGS84 ? c : molodensky(c, WGS84, *this);
|
|
}
|
|
|
|
QDebug operator<<(QDebug dbg, const Datum &datum)
|
|
{
|
|
dbg.nospace() << "Datum(" << *datum.ellipsoid() << ", " << datum.dx()
|
|
<< ", " << datum.dy() << ", " << datum.dz() << ")";
|
|
return dbg.space();
|
|
}
|