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129 lines
3.7 KiB
C++
129 lines
3.7 KiB
C++
#include "common/wgs84.h"
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#include "datum.h"
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#define as2rad(x) ((x) * (M_PI/648000.0))
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#define rad2as(x) ((x) * (648000.0/M_PI))
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#define ds2scale(x) (1.0 + (x) * 1e-6)
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#define scale2ds(x) (((x) - 1.0) / 1e-6)
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static Coordinates molodensky(const Coordinates &c, const Datum &from,
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const Datum &to)
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{
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double rlat = deg2rad(c.lat());
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double rlon = deg2rad(c.lon());
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double slat = sin(rlat);
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double clat = cos(rlat);
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double slon = sin(rlon);
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double clon = cos(rlon);
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double ssqlat = slat * slat;
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double dx = from.dx() - to.dx();
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double dy = from.dy() - to.dy();
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double dz = from.dz() - to.dz();
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double from_f = from.ellipsoid().flattening();
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double to_f = to.ellipsoid().flattening();
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double df = to_f - from_f;
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double from_a = from.ellipsoid().radius();
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double to_a = to.ellipsoid().radius();
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double da = to_a - from_a;
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double from_esq = from_f * (2.0 - from_f);
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double adb = 1.0 / (1.0 - from_f);
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double rn = from_a / sqrt(1 - from_esq * ssqlat);
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double rm = from_a * (1 - from_esq) / pow((1 - from_esq * ssqlat), 1.5);
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double dlat = (-dx * slat * clon - dy * slat * slon + dz * clat + da
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* rn * from_esq * slat * clat / from_a + df * (rm * adb + rn / adb) * slat
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* clat) / rm;
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double dlon = (-dx * slon + dy * clon) / (rn * clat);
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return Coordinates(c.lon() + rad2deg(dlon), c.lat() + rad2deg(dlat));
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}
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const Datum &Datum::WGS84()
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{
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static Datum d(Ellipsoid::WGS84(), 0.0, 0.0, 0.0);
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return d;
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}
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Point3D Datum::helmert(const Point3D &p) const
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{
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return Point3D(_scale * (p.x() + _rz * p.y() -_ry * p.z()) + _dx,
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_scale * (-_rz * p.x() + p.y() + _rx * p.z()) + _dy,
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_scale * (_ry * p.x() -_rx * p.y() + p.z()) + _dz);
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}
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Point3D Datum::helmertr(const Point3D &p) const
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{
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double x = (p.x() - _dx) / _scale;
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double y = (p.y() - _dy) / _scale;
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double z = (p.z() - _dz) / _scale;
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return Point3D(x -_rz * y + _ry * z, _rz * x + y + -_rx * z, -_ry * x + _rx
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* y + z);
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}
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Datum::Datum(const Ellipsoid &ellipsoid, double dx, double dy, double dz,
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double rx, double ry, double rz, double ds)
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: _ellipsoid(ellipsoid), _dx(dx), _dy(dy), _dz(dz), _rx(as2rad(rx)),
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_ry(as2rad(ry)), _rz(as2rad(rz)), _scale(ds2scale(ds))
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{
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if (_ellipsoid.radius() == WGS84_RADIUS && _ellipsoid.flattening()
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== WGS84_FLATTENING && _dx == 0.0 && _dy == 0.0 && _dz == 0.0
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&& _rx == 0.0 && _ry == 0.0 && _rz == 0.0 && ds == 0.0)
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_transformation = None;
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else
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_transformation = Helmert;
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}
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Datum::Datum(const Ellipsoid &ellipsoid, double dx, double dy, double dz)
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: _ellipsoid(ellipsoid), _dx(dx), _dy(dy), _dz(dz), _rx(0.0), _ry(0.0),
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_rz(0.0), _scale(1.0)
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{
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if (_ellipsoid.radius() == WGS84_RADIUS && _ellipsoid.flattening()
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== WGS84_FLATTENING && _dx == 0.0 && _dy == 0.0 && _dz == 0.0)
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_transformation = None;
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else
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_transformation = Molodensky;
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}
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Coordinates Datum::toWGS84(const Coordinates &c) const
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{
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switch (_transformation) {
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case Helmert:
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return Geocentric::toGeodetic(helmert(Geocentric::fromGeodetic(c,
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ellipsoid())), WGS84().ellipsoid());
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case Molodensky:
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return molodensky(c, *this, WGS84());
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default:
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return c;
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}
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}
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Coordinates Datum::fromWGS84(const Coordinates &c) const
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{
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switch (_transformation) {
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case Helmert:
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return Geocentric::toGeodetic(helmertr(Geocentric::fromGeodetic(c,
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WGS84().ellipsoid())), ellipsoid());
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case Molodensky:
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return molodensky(c, WGS84(), *this);
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default:
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return c;
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}
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}
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#ifndef QT_NO_DEBUG
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QDebug operator<<(QDebug dbg, const Datum &datum)
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{
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dbg.nospace() << "Datum(" << datum.ellipsoid() << ", " << datum.dx()
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<< ", " << datum.dy() << ", " << datum.dz() << ", " << rad2as(datum.rx())
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<< ", " << rad2as(datum.ry()) << ", " << rad2as(datum.rz()) << ", "
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<< scale2ds(datum.scale()) << ")";
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return dbg.space();
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}
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#endif // QT_NO_DEBUG
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