| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | double eraGst00a(double uta, double utb, double tta, double ttb) | 
| 4 |  |  |  |  |  |  | /* | 
| 5 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 6 |  |  |  |  |  |  | **   e r a G s t 0 0 a | 
| 7 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 8 |  |  |  |  |  |  | ** | 
| 9 |  |  |  |  |  |  | **  Greenwich apparent sidereal time (consistent with IAU 2000 | 
| 10 |  |  |  |  |  |  | **  resolutions). | 
| 11 |  |  |  |  |  |  | ** | 
| 12 |  |  |  |  |  |  | **  Given: | 
| 13 |  |  |  |  |  |  | **     uta,utb    double    UT1 as a 2-part Julian Date (Notes 1,2) | 
| 14 |  |  |  |  |  |  | **     tta,ttb    double    TT as a 2-part Julian Date (Notes 1,2) | 
| 15 |  |  |  |  |  |  | ** | 
| 16 |  |  |  |  |  |  | **  Returned (function value): | 
| 17 |  |  |  |  |  |  | **                double    Greenwich apparent sidereal time (radians) | 
| 18 |  |  |  |  |  |  | ** | 
| 19 |  |  |  |  |  |  | **  Notes: | 
| 20 |  |  |  |  |  |  | ** | 
| 21 |  |  |  |  |  |  | **  1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both | 
| 22 |  |  |  |  |  |  | **     Julian Dates, apportioned in any convenient way between the | 
| 23 |  |  |  |  |  |  | **     argument pairs.  For example, JD=2450123.7 could be expressed in | 
| 24 |  |  |  |  |  |  | **     any of these ways, among others: | 
| 25 |  |  |  |  |  |  | ** | 
| 26 |  |  |  |  |  |  | **            Part A        Part B | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **         2450123.7           0.0       (JD method) | 
| 29 |  |  |  |  |  |  | **         2451545.0       -1421.3       (J2000 method) | 
| 30 |  |  |  |  |  |  | **         2400000.5       50123.2       (MJD method) | 
| 31 |  |  |  |  |  |  | **         2450123.5           0.2       (date & time method) | 
| 32 |  |  |  |  |  |  | ** | 
| 33 |  |  |  |  |  |  | **     The JD method is the most natural and convenient to use in | 
| 34 |  |  |  |  |  |  | **     cases where the loss of several decimal digits of resolution | 
| 35 |  |  |  |  |  |  | **     is acceptable (in the case of UT;  the TT is not at all critical | 
| 36 |  |  |  |  |  |  | **     in this respect).  The J2000 and MJD methods are good compromises | 
| 37 |  |  |  |  |  |  | **     between resolution and convenience.  For UT, the date & time | 
| 38 |  |  |  |  |  |  | **     method is best matched to the algorithm that is used by the Earth | 
| 39 |  |  |  |  |  |  | **     Rotation Angle function, called internally:  maximum precision is | 
| 40 |  |  |  |  |  |  | **     delivered when the uta argument is for 0hrs UT1 on the day in | 
| 41 |  |  |  |  |  |  | **     question and the utb argument lies in the range 0 to 1, or vice | 
| 42 |  |  |  |  |  |  | **     versa. | 
| 43 |  |  |  |  |  |  | ** | 
| 44 |  |  |  |  |  |  | **  2) Both UT1 and TT are required, UT1 to predict the Earth rotation | 
| 45 |  |  |  |  |  |  | **     and TT to predict the effects of precession-nutation.  If UT1 is | 
| 46 |  |  |  |  |  |  | **     used for both purposes, errors of order 100 microarcseconds | 
| 47 |  |  |  |  |  |  | **     result. | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **  3) This GAST is compatible with the IAU 2000 resolutions and must be | 
| 50 |  |  |  |  |  |  | **     used only in conjunction with other IAU 2000 compatible | 
| 51 |  |  |  |  |  |  | **     components such as precession-nutation. | 
| 52 |  |  |  |  |  |  | ** | 
| 53 |  |  |  |  |  |  | **  4) The result is returned in the range 0 to 2pi. | 
| 54 |  |  |  |  |  |  | ** | 
| 55 |  |  |  |  |  |  | **  5) The algorithm is from Capitaine et al. (2003) and IERS | 
| 56 |  |  |  |  |  |  | **     Conventions 2003. | 
| 57 |  |  |  |  |  |  | ** | 
| 58 |  |  |  |  |  |  | **  Called: | 
| 59 |  |  |  |  |  |  | **     eraGmst00    Greenwich mean sidereal time, IAU 2000 | 
| 60 |  |  |  |  |  |  | **     eraEe00a     equation of the equinoxes, IAU 2000A | 
| 61 |  |  |  |  |  |  | **     eraAnp       normalize angle into range 0 to 2pi | 
| 62 |  |  |  |  |  |  | ** | 
| 63 |  |  |  |  |  |  | **  References: | 
| 64 |  |  |  |  |  |  | ** | 
| 65 |  |  |  |  |  |  | **     Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to | 
| 66 |  |  |  |  |  |  | **     implement the IAU 2000 definition of UT1", Astronomy & | 
| 67 |  |  |  |  |  |  | **     Astrophysics, 406, 1135-1149 (2003) | 
| 68 |  |  |  |  |  |  | ** | 
| 69 |  |  |  |  |  |  | **     McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), | 
| 70 |  |  |  |  |  |  | **     IERS Technical Note No. 32, BKG (2004) | 
| 71 |  |  |  |  |  |  | ** | 
| 72 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 73 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 74 |  |  |  |  |  |  | */ | 
| 75 |  |  |  |  |  |  | { | 
| 76 |  |  |  |  |  |  | double gmst00, ee00a, gst; | 
| 77 |  |  |  |  |  |  |  | 
| 78 |  |  |  |  |  |  |  | 
| 79 | 0 |  |  |  |  |  | gmst00 = eraGmst00(uta, utb, tta, ttb); | 
| 80 | 0 |  |  |  |  |  | ee00a = eraEe00a(tta, ttb); | 
| 81 | 0 |  |  |  |  |  | gst = eraAnp(gmst00 + ee00a); | 
| 82 |  |  |  |  |  |  |  | 
| 83 | 0 |  |  |  |  |  | return gst; | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | } | 
| 86 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 87 |  |  |  |  |  |  | ** | 
| 88 |  |  |  |  |  |  | ** | 
| 89 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 90 |  |  |  |  |  |  | **  All rights reserved. | 
| 91 |  |  |  |  |  |  | ** | 
| 92 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 93 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 94 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 95 |  |  |  |  |  |  | ** | 
| 96 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 97 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 98 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 99 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 100 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 101 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 102 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 103 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 104 |  |  |  |  |  |  | ** | 
| 105 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 106 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 107 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 108 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 109 |  |  |  |  |  |  | ** | 
| 110 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 111 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 112 |  |  |  |  |  |  | **  itself. | 
| 113 |  |  |  |  |  |  | ** | 
| 114 |  |  |  |  |  |  | ** | 
| 115 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 116 |  |  |  |  |  |  | ** | 
| 117 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 118 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 119 |  |  |  |  |  |  | **  are met: | 
| 120 |  |  |  |  |  |  | ** | 
| 121 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 122 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 123 |  |  |  |  |  |  | ** | 
| 124 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 125 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 126 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 127 |  |  |  |  |  |  | **    distribution. | 
| 128 |  |  |  |  |  |  | ** | 
| 129 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 130 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 131 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 132 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 133 |  |  |  |  |  |  | ** | 
| 134 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 135 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 136 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 137 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 138 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 139 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 140 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 141 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 142 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 143 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 144 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 145 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 146 |  |  |  |  |  |  | ** | 
| 147 |  |  |  |  |  |  | */ |