| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraC2t00a(double tta, double ttb, double uta, double utb, | 
| 4 |  |  |  |  |  |  | double xp, double yp, double rc2t[3][3]) | 
| 5 |  |  |  |  |  |  | /* | 
| 6 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 7 |  |  |  |  |  |  | **   e r a C 2 t 0 0 a | 
| 8 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 9 |  |  |  |  |  |  | ** | 
| 10 |  |  |  |  |  |  | **  Form the celestial to terrestrial matrix given the date, the UT1 and | 
| 11 |  |  |  |  |  |  | **  the polar motion, using the IAU 2000A nutation model. | 
| 12 |  |  |  |  |  |  | ** | 
| 13 |  |  |  |  |  |  | **  Given: | 
| 14 |  |  |  |  |  |  | **     tta,ttb  double         TT as a 2-part Julian Date (Note 1) | 
| 15 |  |  |  |  |  |  | **     uta,utb  double         UT1 as a 2-part Julian Date (Note 1) | 
| 16 |  |  |  |  |  |  | **     xp,yp    double         coordinates of the pole (radians, Note 2) | 
| 17 |  |  |  |  |  |  | ** | 
| 18 |  |  |  |  |  |  | **  Returned: | 
| 19 |  |  |  |  |  |  | **     rc2t     double[3][3]   celestial-to-terrestrial matrix (Note 3) | 
| 20 |  |  |  |  |  |  | ** | 
| 21 |  |  |  |  |  |  | **  Notes: | 
| 22 |  |  |  |  |  |  | ** | 
| 23 |  |  |  |  |  |  | **  1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, | 
| 24 |  |  |  |  |  |  | **     apportioned in any convenient way between the arguments uta and | 
| 25 |  |  |  |  |  |  | **     utb.  For example, JD(UT1)=2450123.7 could be expressed in any of | 
| 26 |  |  |  |  |  |  | **     these ways, among others: | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **             uta            utb | 
| 29 |  |  |  |  |  |  | ** | 
| 30 |  |  |  |  |  |  | **         2450123.7           0.0       (JD method) | 
| 31 |  |  |  |  |  |  | **         2451545.0       -1421.3       (J2000 method) | 
| 32 |  |  |  |  |  |  | **         2400000.5       50123.2       (MJD method) | 
| 33 |  |  |  |  |  |  | **         2450123.5           0.2       (date & time method) | 
| 34 |  |  |  |  |  |  | ** | 
| 35 |  |  |  |  |  |  | **     The JD method is the most natural and convenient to use in | 
| 36 |  |  |  |  |  |  | **     cases where the loss of several decimal digits of resolution is | 
| 37 |  |  |  |  |  |  | **     acceptable.  The J2000 and MJD methods are good compromises | 
| 38 |  |  |  |  |  |  | **     between resolution and convenience.  In the case of uta,utb, the | 
| 39 |  |  |  |  |  |  | **     date & time method is best matched to the Earth rotation angle | 
| 40 |  |  |  |  |  |  | **     algorithm used:  maximum precision is delivered when the uta | 
| 41 |  |  |  |  |  |  | **     argument is for 0hrs UT1 on the day in question and the utb | 
| 42 |  |  |  |  |  |  | **     argument lies in the range 0 to 1, or vice versa. | 
| 43 |  |  |  |  |  |  | ** | 
| 44 |  |  |  |  |  |  | **  2) The arguments xp and yp are the coordinates (in radians) of the | 
| 45 |  |  |  |  |  |  | **     Celestial Intermediate Pole with respect to the International | 
| 46 |  |  |  |  |  |  | **     Terrestrial Reference System (see IERS Conventions 2003), | 
| 47 |  |  |  |  |  |  | **     measured along the meridians to 0 and 90 deg west respectively. | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **  3) The matrix rc2t transforms from celestial to terrestrial | 
| 50 |  |  |  |  |  |  | **     coordinates: | 
| 51 |  |  |  |  |  |  | ** | 
| 52 |  |  |  |  |  |  | **        [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] | 
| 53 |  |  |  |  |  |  | ** | 
| 54 |  |  |  |  |  |  | **              = rc2t * [CRS] | 
| 55 |  |  |  |  |  |  | ** | 
| 56 |  |  |  |  |  |  | **     where [CRS] is a vector in the Geocentric Celestial Reference | 
| 57 |  |  |  |  |  |  | **     System and [TRS] is a vector in the International Terrestrial | 
| 58 |  |  |  |  |  |  | **     Reference System (see IERS Conventions 2003), RC2I is the | 
| 59 |  |  |  |  |  |  | **     celestial-to-intermediate matrix, ERA is the Earth rotation | 
| 60 |  |  |  |  |  |  | **     angle and RPOM is the polar motion matrix. | 
| 61 |  |  |  |  |  |  | ** | 
| 62 |  |  |  |  |  |  | **  4) A faster, but slightly less accurate result (about 1 mas), can | 
| 63 |  |  |  |  |  |  | **     be obtained by using instead the eraC2t00b function. | 
| 64 |  |  |  |  |  |  | ** | 
| 65 |  |  |  |  |  |  | **  Called: | 
| 66 |  |  |  |  |  |  | **     eraC2i00a    celestial-to-intermediate matrix, IAU 2000A | 
| 67 |  |  |  |  |  |  | **     eraEra00     Earth rotation angle, IAU 2000 | 
| 68 |  |  |  |  |  |  | **     eraSp00      the TIO locator s', IERS 2000 | 
| 69 |  |  |  |  |  |  | **     eraPom00     polar motion matrix | 
| 70 |  |  |  |  |  |  | **     eraC2tcio    form CIO-based celestial-to-terrestrial matrix | 
| 71 |  |  |  |  |  |  | ** | 
| 72 |  |  |  |  |  |  | **  Reference: | 
| 73 |  |  |  |  |  |  | ** | 
| 74 |  |  |  |  |  |  | **     McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), | 
| 75 |  |  |  |  |  |  | **     IERS Technical Note No. 32, BKG (2004) | 
| 76 |  |  |  |  |  |  | ** | 
| 77 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 78 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 79 |  |  |  |  |  |  | */ | 
| 80 |  |  |  |  |  |  | { | 
| 81 |  |  |  |  |  |  | double rc2i[3][3], era, sp, rpom[3][3]; | 
| 82 |  |  |  |  |  |  |  | 
| 83 |  |  |  |  |  |  |  | 
| 84 |  |  |  |  |  |  | /* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */ | 
| 85 | 0 |  |  |  |  |  | eraC2i00a(tta, ttb, rc2i ); | 
| 86 |  |  |  |  |  |  |  | 
| 87 |  |  |  |  |  |  | /* Predict the Earth rotation angle for this UT1. */ | 
| 88 | 0 |  |  |  |  |  | era = eraEra00(uta, utb); | 
| 89 |  |  |  |  |  |  |  | 
| 90 |  |  |  |  |  |  | /* Estimate s'. */ | 
| 91 | 0 |  |  |  |  |  | sp = eraSp00(tta, ttb); | 
| 92 |  |  |  |  |  |  |  | 
| 93 |  |  |  |  |  |  | /* Form the polar motion matrix. */ | 
| 94 | 0 |  |  |  |  |  | eraPom00(xp, yp, sp, rpom); | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | /* Combine to form the celestial-to-terrestrial matrix. */ | 
| 97 | 0 |  |  |  |  |  | eraC2tcio(rc2i, era, rpom, rc2t); | 
| 98 |  |  |  |  |  |  |  | 
| 99 | 0 |  |  |  |  |  | return; | 
| 100 |  |  |  |  |  |  |  | 
| 101 |  |  |  |  |  |  | } | 
| 102 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 103 |  |  |  |  |  |  | ** | 
| 104 |  |  |  |  |  |  | ** | 
| 105 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 106 |  |  |  |  |  |  | **  All rights reserved. | 
| 107 |  |  |  |  |  |  | ** | 
| 108 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 109 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 110 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 111 |  |  |  |  |  |  | ** | 
| 112 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 113 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 114 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 115 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 116 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 117 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 118 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 119 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 120 |  |  |  |  |  |  | ** | 
| 121 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 122 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 123 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 124 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 125 |  |  |  |  |  |  | ** | 
| 126 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 127 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 128 |  |  |  |  |  |  | **  itself. | 
| 129 |  |  |  |  |  |  | ** | 
| 130 |  |  |  |  |  |  | ** | 
| 131 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 132 |  |  |  |  |  |  | ** | 
| 133 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 134 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 135 |  |  |  |  |  |  | **  are met: | 
| 136 |  |  |  |  |  |  | ** | 
| 137 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 138 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 139 |  |  |  |  |  |  | ** | 
| 140 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 141 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 142 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 143 |  |  |  |  |  |  | **    distribution. | 
| 144 |  |  |  |  |  |  | ** | 
| 145 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 146 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 147 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 148 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 149 |  |  |  |  |  |  | ** | 
| 150 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 151 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 152 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 153 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 154 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 155 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 156 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 157 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 158 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 159 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 160 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 161 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 162 |  |  |  |  |  |  | ** | 
| 163 |  |  |  |  |  |  | */ |