#include "sofa.h"

void iauC2t00a(double tta, double ttb, double uta, double utb,
               double xp, double yp, double rc2t[3][3])
/*
**  - - - - - - - - - -
**   i a u C 2 t 0 0 a
**  - - - - - - - - - -
**
**  Form the celestial to terrestrial matrix given the date, the UT1 and
**  the polar motion, using the IAU 2000A nutation model.
**
**  This function is part of the International Astronomical Union's
**  SOFA (Standards Of Fundamental Astronomy) software collection.
**
**  Status:  support function.
**
**  Given:
**     tta,ttb  double         TT as a 2-part Julian Date (Note 1)
**     uta,utb  double         UT1 as a 2-part Julian Date (Note 1)
**     xp,yp    double         coordinates of the pole (radians, Note 2)
**
**  Returned:
**     rc2t     double[3][3]   celestial-to-terrestrial matrix (Note 3)
**
**  Notes:
**
**  1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
**     apportioned in any convenient way between the arguments uta and
**     utb.  For example, JD(UT1)=2450123.7 could be expressed in any of
**     these ways, among others:
**
**             uta            utb
**
**         2450123.7           0.0       (JD method)
**         2451545.0       -1421.3       (J2000 method)
**         2400000.5       50123.2       (MJD method)
**         2450123.5           0.2       (date & time method)
**
**     The JD method is the most natural and convenient to use in
**     cases where the loss of several decimal digits of resolution is
**     acceptable.  The J2000 and MJD methods are good compromises
**     between resolution and convenience.  In the case of uta,utb, the
**     date & time method is best matched to the Earth rotation angle
**     algorithm used:  maximum precision is delivered when the uta
**     argument is for 0hrs UT1 on the day in question and the utb
**     argument lies in the range 0 to 1, or vice versa.
**
**  2) The arguments xp and yp are the coordinates (in radians) of the
**     Celestial Intermediate Pole with respect to the International
**     Terrestrial Reference System (see IERS Conventions 2003),
**     measured along the meridians to 0 and 90 deg west respectively.
**
**  3) The matrix rc2t transforms from celestial to terrestrial
**     coordinates:
**
**        [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
**
**              = rc2t * [CRS]
**
**     where [CRS] is a vector in the Geocentric Celestial Reference
**     System and [TRS] is a vector in the International Terrestrial
**     Reference System (see IERS Conventions 2003), RC2I is the
**     celestial-to-intermediate matrix, ERA is the Earth rotation
**     angle and RPOM is the polar motion matrix.
**
**  4) A faster, but slightly less accurate result (about 1 mas), can
**     be obtained by using instead the iauC2t00b function.
**
**  Called:
**     iauC2i00a    celestial-to-intermediate matrix, IAU 2000A
**     iauEra00     Earth rotation angle, IAU 2000
**     iauSp00      the TIO locator s', IERS 2000
**     iauPom00     polar motion matrix
**     iauC2tcio    form CIO-based celestial-to-terrestrial matrix
**
**  Reference:
**
**     McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
**     IERS Technical Note No. 32, BKG (2004)
**
**  This revision:  2013 June 18
**
**  SOFA release 2015-02-09
**
**  Copyright (C) 2015 IAU SOFA Board.  See notes at end.
*/
{
   double rc2i[3][3], era, sp, rpom[3][3];

/* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */
   iauC2i00a(tta, ttb, rc2i );

/* Predict the Earth rotation angle for this UT1. */
   era = iauEra00(uta, utb);

/* Estimate s'. */
   sp = iauSp00(tta, ttb);

/* Form the polar motion matrix. */
   iauPom00(xp, yp, sp, rpom);

/* Combine to form the celestial-to-terrestrial matrix. */
   iauC2tcio(rc2i, era, rpom, rc2t);

   return;

/*----------------------------------------------------------------------
**
**  Copyright (C) 2015
**  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
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**     SOFA software.  SOFA makes no warranties, express or implied, as
**     to non-infringement of third party rights, merchantability, or
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**     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
**
**--------------------------------------------------------------------*/
}
