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#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 2020-07-21
**
** Copyright (C) 2020 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) 2020
** 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
**
**--------------------------------------------------------------------*/
}