#include "sofa.h" int iauGd2gce ( double a, double f, double elong, double phi, double height, double xyz[3] ) /* ** - - - - - - - - - - ** i a u G d 2 g c e ** - - - - - - - - - - ** ** Transform geodetic coordinates to geocentric for a reference ** ellipsoid of specified form. ** ** This function is part of the International Astronomical Union's ** SOFA (Standards of Fundamental Astronomy) software collection. ** ** Status: support function. ** ** Given: ** a double equatorial radius (Notes 1,4) ** f double flattening (Notes 2,4) ** elong double longitude (radians, east +ve) ** phi double latitude (geodetic, radians, Note 4) ** height double height above ellipsoid (geodetic, Notes 3,4) ** ** Returned: ** xyz double[3] geocentric vector (Note 3) ** ** Returned (function value): ** int status: 0 = OK ** -1 = illegal case (Note 4) ** Notes: ** ** 1) The equatorial radius, a, can be in any units, but meters is ** the conventional choice. ** ** 2) The flattening, f, is (for the Earth) a value around 0.00335, ** i.e. around 1/298. ** ** 3) The equatorial radius, a, and the height, height, must be ** given in the same units, and determine the units of the ** returned geocentric vector, xyz. ** ** 4) No validation is performed on individual arguments. The error ** status -1 protects against (unrealistic) cases that would lead ** to arithmetic exceptions. If an error occurs, xyz is unchanged. ** ** 5) The inverse transformation is performed in the function ** iauGc2gde. ** ** 6) The transformation for a standard ellipsoid (such as WGS84) can ** more conveniently be performed by calling iauGd2gc, which uses a ** numerical code to identify the required a and f values. ** ** References: ** ** Green, R.M., Spherical Astronomy, Cambridge University Press, ** (1985) Section 4.5, p96. ** ** Explanatory Supplement to the Astronomical Almanac, ** P. Kenneth Seidelmann (ed), University Science Books (1992), ** Section 4.22, p202. ** ** This revision: 2013 June 18 ** ** SOFA release 2018-01-30 ** ** Copyright (C) 2018 IAU SOFA Board. See notes at end. */ { double sp, cp, w, d, ac, as, r; /* Functions of geodetic latitude. */ sp = sin(phi); cp = cos(phi); w = 1.0 - f; w = w * w; d = cp*cp + w*sp*sp; if ( d <= 0.0 ) return -1; ac = a / sqrt(d); as = w * ac; /* Geocentric vector. */ r = (ac + height) * cp; xyz[0] = r * cos(elong); xyz[1] = r * sin(elong); xyz[2] = (as + height) * sp; /* Success. */ return 0; /*---------------------------------------------------------------------- ** ** Copyright (C) 2018 ** Standards Of Fundamental Astronomy Board ** of the International Astronomical Union. ** ** ===================== ** SOFA Software License ** ===================== ** ** NOTICE TO USER: ** ** BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND ** CONDITIONS WHICH APPLY TO ITS USE. ** ** 1. The Software is owned by the IAU SOFA Board ("SOFA"). ** ** 2. Permission is granted to anyone to use the SOFA software for any ** purpose, including commercial applications, free of charge and ** without payment of royalties, subject to the conditions and ** restrictions listed below. ** ** 3. You (the user) may copy and distribute SOFA source code to others, ** and use and adapt its code and algorithms in your own software, ** on a world-wide, royalty-free basis. That portion of your ** distribution that does not consist of intact and unchanged copies ** of SOFA source code files is a "derived work" that must comply ** with the following requirements: ** ** a) Your work shall be marked or carry a statement that it ** (i) uses routines and computations derived by you from ** software provided by SOFA under license to you; and ** (ii) does not itself constitute software provided by and/or ** endorsed by SOFA. ** ** b) The source code of your derived work must contain descriptions ** of how the derived work is based upon, contains and/or differs ** from the original SOFA software. ** ** c) The names of all routines in your derived work shall not ** include the prefix "iau" or "sofa" or trivial modifications ** thereof such as changes of case. ** ** d) The origin of the SOFA components of your derived work must ** not be misrepresented; you must not claim that you wrote the ** original software, nor file a patent application for SOFA ** software or algorithms embedded in the SOFA software. ** ** e) These requirements must be reproduced intact in any source ** distribution and shall apply to anyone to whom you have ** granted a further right to modify the source code of your ** derived work. ** ** Note that, as originally distributed, the SOFA software is ** intended to be a definitive implementation of the IAU standards, ** and consequently third-party modifications are discouraged. All ** variations, no matter how minor, must be explicitly marked as ** such, as explained above. ** ** 4. You shall not cause the SOFA software to be brought into ** disrepute, either by misuse, or use for inappropriate tasks, or ** by inappropriate modification. ** ** 5. The SOFA software is provided "as is" and SOFA makes no warranty ** as to its use or performance. SOFA does not and cannot warrant ** the performance or results which the user may obtain by using the ** SOFA software. SOFA makes no warranties, express or implied, as ** to non-infringement of third party rights, merchantability, or ** fitness for any particular purpose. In no event will SOFA be ** liable to the user for any consequential, incidental, or special ** damages, including any lost profits or lost savings, even if a ** SOFA representative has been advised of such damages, or for any ** claim by any third party. ** ** 6. The provision of any version of the SOFA software under the terms ** and conditions specified herein does not imply that future ** versions will also be made available under the same terms and ** conditions. * ** In any published work or commercial product which uses the SOFA ** software directly, acknowledgement (see www.iausofa.org) is ** appreciated. ** ** Correspondence concerning SOFA software should be addressed as ** follows: ** ** By email: sofa@ukho.gov.uk ** By post: IAU SOFA Center ** HM Nautical Almanac Office ** UK Hydrographic Office ** Admiralty Way, Taunton ** Somerset, TA1 2DN ** United Kingdom ** **--------------------------------------------------------------------*/ }