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use ;
use crate*;
/// Form the celestial to terrestrial matrix given the date, the UT1 and
/// the polar motion, using the IAU 2000A precession-nutation model.
///
/// Given:
/// * tta,ttb TT as a 2-part Julian Date (Note 1)
/// * uta,utb UT1 as a 2-part Julian Date (Note 1)
/// * xp,yp CIP coordinates (radians, Note 2)
///
/// Returned:
/// * rc2t 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 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 eraC2t00b function.
///
/// # Called:
/// * c2i00a celestial-to-intermediate matrix, IAU 2000A
/// * era00 Earth rotation angle, IAU 2000
/// * sp00 the TIO locator s', IERS 2000
/// * pom00 polar motion matrix
/// * c2tcio 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: 2021 May 11