| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | double eraS00b(double date1, double date2) | 
| 4 |  |  |  |  |  |  | /* | 
| 5 |  |  |  |  |  |  | **  - - - - - - - - | 
| 6 |  |  |  |  |  |  | **   e r a S 0 0 b | 
| 7 |  |  |  |  |  |  | **  - - - - - - - - | 
| 8 |  |  |  |  |  |  | ** | 
| 9 |  |  |  |  |  |  | **  The CIO locator s, positioning the Celestial Intermediate Origin on | 
| 10 |  |  |  |  |  |  | **  the equator of the Celestial Intermediate Pole, using the IAU 2000B | 
| 11 |  |  |  |  |  |  | **  precession-nutation model. | 
| 12 |  |  |  |  |  |  | ** | 
| 13 |  |  |  |  |  |  | **  Given: | 
| 14 |  |  |  |  |  |  | **     date1,date2  double    TT as a 2-part Julian Date (Note 1) | 
| 15 |  |  |  |  |  |  | ** | 
| 16 |  |  |  |  |  |  | **  Returned (function value): | 
| 17 |  |  |  |  |  |  | **                  double    the CIO locator s in radians (Note 2) | 
| 18 |  |  |  |  |  |  | ** | 
| 19 |  |  |  |  |  |  | **  Notes: | 
| 20 |  |  |  |  |  |  | ** | 
| 21 |  |  |  |  |  |  | **  1) The TT date date1+date2 is a Julian Date, apportioned in any | 
| 22 |  |  |  |  |  |  | **     convenient way between the two arguments.  For example, | 
| 23 |  |  |  |  |  |  | **     JD(TT)=2450123.7 could be expressed in any of these ways, | 
| 24 |  |  |  |  |  |  | **     among others: | 
| 25 |  |  |  |  |  |  | ** | 
| 26 |  |  |  |  |  |  | **            date1          date2 | 
| 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.  The J2000 method is best matched to the way | 
| 36 |  |  |  |  |  |  | **     the argument is handled internally and will deliver the | 
| 37 |  |  |  |  |  |  | **     optimum resolution.  The MJD method and the date & time methods | 
| 38 |  |  |  |  |  |  | **     are both good compromises between resolution and convenience. | 
| 39 |  |  |  |  |  |  | ** | 
| 40 |  |  |  |  |  |  | **  2) The CIO locator s is the difference between the right ascensions | 
| 41 |  |  |  |  |  |  | **     of the same point in two systems.  The two systems are the GCRS | 
| 42 |  |  |  |  |  |  | **     and the CIP,CIO, and the point is the ascending node of the | 
| 43 |  |  |  |  |  |  | **     CIP equator.  The CIO locator s remains a small fraction of | 
| 44 |  |  |  |  |  |  | **     1 arcsecond throughout 1900-2100. | 
| 45 |  |  |  |  |  |  | ** | 
| 46 |  |  |  |  |  |  | **  3) The series used to compute s is in fact for s+XY/2, where X and Y | 
| 47 |  |  |  |  |  |  | **     are the x and y components of the CIP unit vector;  this series | 
| 48 |  |  |  |  |  |  | **     is more compact than a direct series for s would be.  The present | 
| 49 |  |  |  |  |  |  | **     function uses the IAU 2000B truncated nutation model when | 
| 50 |  |  |  |  |  |  | **     predicting the CIP position.  The function eraS00a uses instead | 
| 51 |  |  |  |  |  |  | **     the full IAU 2000A model, but with no significant increase in | 
| 52 |  |  |  |  |  |  | **     accuracy and at some cost in speed. | 
| 53 |  |  |  |  |  |  | ** | 
| 54 |  |  |  |  |  |  | **  Called: | 
| 55 |  |  |  |  |  |  | **     eraPnm00b    classical NPB matrix, IAU 2000B | 
| 56 |  |  |  |  |  |  | **     eraBnp2xy    extract CIP X,Y from the BPN matrix | 
| 57 |  |  |  |  |  |  | **     eraS00       the CIO locator s, given X,Y, IAU 2000A | 
| 58 |  |  |  |  |  |  | ** | 
| 59 |  |  |  |  |  |  | **  References: | 
| 60 |  |  |  |  |  |  | ** | 
| 61 |  |  |  |  |  |  | **     Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., | 
| 62 |  |  |  |  |  |  | **     "Expressions for the Celestial Intermediate Pole and Celestial | 
| 63 |  |  |  |  |  |  | **     Ephemeris Origin consistent with the IAU 2000A precession- | 
| 64 |  |  |  |  |  |  | **     nutation model", Astron.Astrophys. 400, 1145-1154 (2003) | 
| 65 |  |  |  |  |  |  | ** | 
| 66 |  |  |  |  |  |  | **     n.b. The celestial ephemeris origin (CEO) was renamed "celestial | 
| 67 |  |  |  |  |  |  | **          intermediate origin" (CIO) by IAU 2006 Resolution 2. | 
| 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 rbpn[3][3], x, y, s; | 
| 77 |  |  |  |  |  |  |  | 
| 78 |  |  |  |  |  |  |  | 
| 79 |  |  |  |  |  |  | /* Bias-precession-nutation-matrix, IAU 2000B. */ | 
| 80 | 0 |  |  |  |  |  | eraPnm00b(date1, date2, rbpn); | 
| 81 |  |  |  |  |  |  |  | 
| 82 |  |  |  |  |  |  | /* Extract the CIP coordinates. */ | 
| 83 | 0 |  |  |  |  |  | eraBpn2xy(rbpn, &x, &y); | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | /* Compute the CIO locator s, given the CIP coordinates. */ | 
| 86 | 0 |  |  |  |  |  | s = eraS00(date1, date2, x, y); | 
| 87 |  |  |  |  |  |  |  | 
| 88 | 0 |  |  |  |  |  | return s; | 
| 89 |  |  |  |  |  |  |  | 
| 90 |  |  |  |  |  |  | } | 
| 91 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 92 |  |  |  |  |  |  | ** | 
| 93 |  |  |  |  |  |  | ** | 
| 94 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 95 |  |  |  |  |  |  | **  All rights reserved. | 
| 96 |  |  |  |  |  |  | ** | 
| 97 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 98 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 99 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 100 |  |  |  |  |  |  | ** | 
| 101 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 102 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 103 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 104 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 105 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 106 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 107 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 108 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 109 |  |  |  |  |  |  | ** | 
| 110 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 111 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 112 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 113 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 114 |  |  |  |  |  |  | ** | 
| 115 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 116 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 117 |  |  |  |  |  |  | **  itself. | 
| 118 |  |  |  |  |  |  | ** | 
| 119 |  |  |  |  |  |  | ** | 
| 120 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 121 |  |  |  |  |  |  | ** | 
| 122 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 123 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 124 |  |  |  |  |  |  | **  are met: | 
| 125 |  |  |  |  |  |  | ** | 
| 126 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 127 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 128 |  |  |  |  |  |  | ** | 
| 129 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 130 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 131 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 132 |  |  |  |  |  |  | **    distribution. | 
| 133 |  |  |  |  |  |  | ** | 
| 134 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 135 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 136 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 137 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 138 |  |  |  |  |  |  | ** | 
| 139 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 140 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 141 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 142 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 143 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 144 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 145 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 146 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 147 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 148 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 149 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 150 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 151 |  |  |  |  |  |  | ** | 
| 152 |  |  |  |  |  |  | */ |