#include "erfa.h" int eraGd2gce ( double a, double f, double elong, double phi, double height, double xyz[3] ) /* ** - - - - - - - - - - ** e r a G d 2 g c e ** - - - - - - - - - - ** ** Transform geodetic coordinates to geocentric for a reference ** ellipsoid of specified form. ** ** 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 ** eraGc2gde. ** ** 6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can ** more conveniently be performed by calling eraGd2gc, 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. ** ** Copyright (C) 2013-2015, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { 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) 2013-2015, NumFOCUS Foundation. ** All rights reserved. ** ** This library is derived, with permission, from the International ** Astronomical Union's "Standards of Fundamental Astronomy" library, ** available from http://www.iausofa.org. ** ** The ERFA version is intended to retain identical functionality to ** the SOFA library, but made distinct through different function and ** file names, as set out in the SOFA license conditions. The SOFA ** original has a role as a reference standard for the IAU and IERS, ** and consequently redistribution is permitted only in its unaltered ** state. The ERFA version is not subject to this restriction and ** therefore can be included in distributions which do not support the ** concept of "read only" software. ** ** Although the intent is to replicate the SOFA API (other than ** replacement of prefix names) and results (with the exception of ** bugs; any that are discovered will be fixed), SOFA is not ** responsible for any errors found in this version of the library. ** ** If you wish to acknowledge the SOFA heritage, please acknowledge ** that you are using a library derived from SOFA, rather than SOFA ** itself. ** ** ** TERMS AND CONDITIONS ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** 1 Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** 2 Redistributions in binary form must reproduce the above copyright ** notice, this list of conditions and the following disclaimer in ** the documentation and/or other materials provided with the ** distribution. ** ** 3 Neither the name of the Standards Of Fundamental Astronomy Board, ** the International Astronomical Union nor the names of its ** contributors may be used to endorse or promote products derived ** from this software without specific prior written permission. ** ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 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