/* ------------------------------------------------------------------------- * BKG NTRIP Server * ------------------------------------------------------------------------- * * Class: bncutils * * Purpose: Auxiliary Functions * * Author: L. Mervart * * Created: 08-Apr-2008 * * Changes: * * -----------------------------------------------------------------------*/ #include #include #include #include #include #include #include "bnsutils.h" #include "bnseph.h" using namespace std; // //////////////////////////////////////////////////////////////////////////// void expandEnvVar(QString& str) { QRegExp rx("(\\$\\{.+\\})"); if (rx.indexIn(str) != -1) { QStringListIterator it(rx.capturedTexts()); if (it.hasNext()) { QString rxStr = it.next(); QString envVar = rxStr.mid(2,rxStr.length()-3); str.replace(rxStr, qgetenv(envVar.toAscii())); } } } // //////////////////////////////////////////////////////////////////////////// QDateTime dateAndTimeFromGPSweek(int GPSWeek, double GPSWeeks) { static const QDate zeroEpoch(1980, 1, 6); QDate date(zeroEpoch); QTime time(0,0,0,0); int weekDays = int(GPSWeeks) / 86400; date = date.addDays( GPSWeek * 7 + weekDays ); time = time.addMSecs( int( (GPSWeeks - 86400 * weekDays) * 1e3 ) ); return QDateTime(date,time); } // //////////////////////////////////////////////////////////////////////////// void GPSweekFromDateAndTime(const QDateTime& dateTime, int& GPSWeek, double& GPSWeeks) { static const QDateTime zeroEpoch(QDate(1980, 1, 6)); GPSWeek = zeroEpoch.daysTo(dateTime) / 7; int weekDay = dateTime.date().dayOfWeek() + 1; // Qt: Monday = 1 if (weekDay > 7) weekDay = 1; GPSWeeks = (weekDay - 1) * 86400.0 - dateTime.time().msecsTo(QTime()) / 1e3; } // //////////////////////////////////////////////////////////////////////////// void currentGPSWeeks(int& week, double& sec) { QDateTime currDateTime = QDateTime::currentDateTime().toUTC(); QDate currDate = currDateTime.date(); QTime currTime = currDateTime.time(); week = int( (double(currDate.toJulianDay()) - 2444244.5) / 7 ); sec = (currDate.dayOfWeek() % 7) * 24.0 * 3600.0 + currTime.hour() * 3600.0 + currTime.minute() * 60.0 + currTime.second() + currTime.msec() / 1000.0; } // Satellite Position computed using broadcast ephemeris //////////////////////////////////////////////////////////////////////////// void satellitePosition(int GPSweek, double GPSweeks, const gpsEph* ep, double& X, double& Y, double& Z, double& dt, double& vX, double& vY, double& vZ) { const static double secPerWeek = 7 * 86400.0; const static double omegaEarth = 7292115.1467e-11; const static double gmWGS = 398.6005e12; X = Y = Z = dt = 0.0; double a0 = ep->sqrt_A * ep->sqrt_A; if (a0 == 0) { return; } double n0 = sqrt(gmWGS/(a0*a0*a0)); double tk = GPSweeks - ep->TOE; if (GPSweek != ep->GPSweek) { tk += (GPSweek - ep->GPSweek) * secPerWeek; } double n = n0 + ep->Delta_n; double M = ep->M0 + n*tk; double E = M; double E_last; do { E_last = E; E = M + ep->e*sin(E); } while ( fabs(E-E_last)*a0 > 0.001 ); double v = 2.0*atan( sqrt( (1.0 + ep->e)/(1.0 - ep->e) )*tan( E/2 ) ); double u0 = v + ep->omega; double sin2u0 = sin(2*u0); double cos2u0 = cos(2*u0); double r = a0*(1 - ep->e*cos(E)) + ep->Crc*cos2u0 + ep->Crs*sin2u0; double i = ep->i0 + ep->IDOT*tk + ep->Cic*cos2u0 + ep->Cis*sin2u0; double u = u0 + ep->Cuc*cos2u0 + ep->Cus*sin2u0; double xp = r*cos(u); double yp = r*sin(u); double OM = ep->OMEGA0 + (ep->OMEGADOT - omegaEarth)*tk - omegaEarth*ep->TOE; double sinom = sin(OM); double cosom = cos(OM); double sini = sin(i); double cosi = cos(i); X = xp*cosom - yp*cosi*sinom; Y = xp*sinom + yp*cosi*cosom; Z = yp*sini; double tc = GPSweeks - ep->TOC; if (GPSweek != ep->GPSweek) { tc += (GPSweek - ep->GPSweek) * secPerWeek; } dt = ep->clock_bias + ep->clock_drift*tc + ep->clock_driftrate*tc*tc - 4.442807633e-10 * ep->e * sqrt(a0) *sin(E); // Velocity // -------- double tanv2 = tan(v/2); double dEdM = 1 / (1 - ep->e*cos(E)); double dotv = sqrt((1.0 + ep->e)/(1.0 - ep->e)) / cos(E/2)/cos(E/2) / (1 + tanv2*tanv2) * dEdM * n; double dotu = dotv + (-ep->Cuc*sin2u0 + ep->Cus*cos2u0)*2*dotv; double dotom = ep->OMEGADOT - omegaEarth; double doti = ep->IDOT + (-ep->Cic*sin2u0 + ep->Cis*cos2u0)*2*dotv; double dotr = a0 * ep->e*sin(E) * dEdM * n + (-ep->Crc*sin2u0 + ep->Crs*cos2u0)*2*dotv; double dotx = dotr*cos(u) - r*sin(u)*dotu; double doty = dotr*sin(u) + r*cos(u)*dotu; vX = cosom *dotx - cosi*sinom *doty // dX / dr - xp*sinom*dotom - yp*cosi*cosom*dotom // dX / dOMEGA + yp*sini*sinom*doti; // dX / di vY = sinom *dotx + cosi*cosom *doty + xp*cosom*dotom - yp*cosi*sinom*dotom - yp*sini*cosom*doti; vZ = sini *doty + yp*cosi *doti; } // Transformation xyz --> radial, along track, out-of-plane //////////////////////////////////////////////////////////////////////////// void XYZ_to_RSW(const ColumnVector& rr, const ColumnVector& vv, const ColumnVector& xyz, ColumnVector& rsw) { ColumnVector cross = crossproduct(rr, vv); rsw.ReSize(3); rsw(1) = DotProduct(xyz, rr) / rr.norm_Frobenius(); rsw(2) = DotProduct(xyz, vv) / vv.norm_Frobenius(); rsw(3) = DotProduct(xyz, cross) / cross.norm_Frobenius(); }