/*! * \file geofunctions.h * \brief A set of coordinate transformations functions and helpers, * some of them migrated from MATLAB, for geographic information systems. * \author Javier Arribas, 2018. jarribas(at)cttc.es * * * ----------------------------------------------------------------------------- * * GNSS-SDR is a Global Navigation Satellite System software-defined receiver. * This file is part of GNSS-SDR. * * Copyright (C) 2010-2020 (see AUTHORS file for a list of contributors) * SPDX-License-Identifier: GPL-3.0-or-later * * ----------------------------------------------------------------------------- */ #ifndef GNSS_SDR_GEOFUNCTIONS_H #define GNSS_SDR_GEOFUNCTIONS_H #if ARMA_NO_BOUND_CHECKING #define ARMA_NO_DEBUG 1 #endif #include /** \addtogroup Algorithms_Library * \{ */ /** \addtogroup Algorithm_libs algorithms_libs * \{ */ arma::mat Skew_symmetric(const arma::vec &a); //!< Calculates skew-symmetric matrix double WGS84_g0(double Lat_rad); double WGS84_geocentric_radius(double Lat_geodetic_rad); /*! * \brief Transformation of vector dx into topocentric coordinate * system with origin at x * Inputs: * x - vector origin coordinates (in ECEF system [X; Y; Z;]) * dx - vector ([dX; dY; dZ;]). * * Outputs: * D - vector length. Units like the input * Az - azimuth from north positive clockwise, degrees * El - elevation angle, degrees * * Based on a Matlab function by Kai Borre */ int topocent(double *Az, double *El, double *D, const arma::vec &x, const arma::vec &dx); /*! * \brief Subroutine to calculate geodetic coordinates latitude, longitude, * height given Cartesian coordinates X,Y,Z, and reference ellipsoid * values semi-major axis (a) and the inverse of flattening (finv). * * The output units of angular quantities will be in decimal degrees * (15.5 degrees not 15 deg 30 min). The output units of h will be the * same as the units of X,Y,Z,a. * * Inputs: * a - semi-major axis of the reference ellipsoid * finv - inverse of flattening of the reference ellipsoid * X,Y,Z - Cartesian coordinates * * Outputs: * dphi - latitude * dlambda - longitude * h - height above reference ellipsoid * * Based in a Matlab function by Kai Borre */ int togeod(double *dphi, double *dlambda, double *h, double a, double finv, double X, double Y, double Z); arma::vec Gravity_ECEF(const arma::vec &r_eb_e); //!< Calculates acceleration due to gravity resolved about ECEF-frame /*! * \brief Conversion of Cartesian coordinates (X,Y,Z) to geographical * coordinates (latitude, longitude, h) on a selected reference ellipsoid. * * Choices of Reference Ellipsoid for Geographical Coordinates * 0. International Ellipsoid 1924 * 1. International Ellipsoid 1967 * 2. World Geodetic System 1972 * 3. Geodetic Reference System 1980 * 4. World Geodetic System 1984 */ arma::vec cart2geo(const arma::vec &XYZ, int elipsoid_selection); arma::vec LLH_to_deg(const arma::vec &LLH); double degtorad(double angleInDegrees); double radtodeg(double angleInRadians); double mstoknotsh(double MetersPerSeconds); double mstokph(double MetersPerSeconds); arma::vec CTM_to_Euler(const arma::mat &C); arma::mat Euler_to_CTM(const arma::vec &eul); void ECEF_to_Geo(const arma::vec &r_eb_e, const arma::vec &v_eb_e, const arma::mat &C_b_e, arma::vec &LLH, arma::vec &v_eb_n, arma::mat &C_b_n); /*! * \brief From Geographic to ECEF coordinates * * Inputs: * LLH latitude (rad), longitude (rad), height (m) * v_eb_n velocity of body frame w.r.t. ECEF frame, resolved along * north, east, and down (m/s) * C_b_n body-to-NED coordinate transformation matrix * * Outputs: * r_eb_e Cartesian position of body frame w.r.t. ECEF frame, resolved * along ECEF-frame axes (m) * v_eb_e velocity of body frame w.r.t. ECEF frame, resolved along * ECEF-frame axes (m/s) * C_b_e body-to-ECEF-frame coordinate transformation matrix * */ void Geo_to_ECEF(const arma::vec &LLH, const arma::vec &v_eb_n, const arma::mat &C_b_n, arma::vec &r_eb_e, arma::vec &v_eb_e, arma::mat &C_b_e); /*! * \brief Converts curvilinear to Cartesian position and velocity * resolving axes from NED to ECEF * This function created 11/4/2012 by Paul Groves * * Inputs: * L_b latitude (rad) * lambda_b longitude (rad) * h_b height (m) * v_eb_n velocity of body frame w.r.t. ECEF frame, resolved along * north, east, and down (m/s) * * Outputs: * r_eb_e Cartesian position of body frame w.r.t. ECEF frame, resolved * along ECEF-frame axes (m) * v_eb_e velocity of body frame w.r.t. ECEF frame, resolved along * ECEF-frame axes (m/s) */ void pv_Geo_to_ECEF(double L_b, double lambda_b, double h_b, const arma::vec &v_eb_n, arma::vec &r_eb_e, arma::vec &v_eb_e); /*! * \brief The Haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes. */ double great_circle_distance(double lat1, double lon1, double lat2, double lon2); /*! * \brief Transformation of ECEF (X,Y,Z) to (E,N,U) in UTM, zone 'zone'. */ void cart2utm(const arma::vec &r_eb_e, int zone, arma::vec &r_enu); /*! * \brief Function finds the UTM zone number for given longitude and latitude. */ int findUtmZone(double latitude_deg, double longitude_deg); /*! * \brief Clenshaw summation of sinus of argument. */ double clsin(const arma::colvec &ar, int degree, double argument); /*! * \brief Clenshaw summation of sinus with complex argument. */ void clksin(const arma::colvec &ar, int degree, double arg_real, double arg_imag, double *re, double *im); /** \} */ /** \} */ #endif // GNSS_SDR_GEOFUNCTIONS_H