| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraLteceq(double epj, double dl, double db, double *dr, double *dd) | 
| 4 |  |  |  |  |  |  | /* | 
| 5 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 6 |  |  |  |  |  |  | **   e r a L t e c e q | 
| 7 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 8 |  |  |  |  |  |  | ** | 
| 9 |  |  |  |  |  |  | **  Transformation from ecliptic coordinates (mean equinox and ecliptic | 
| 10 |  |  |  |  |  |  | **  of date) to ICRS RA,Dec, using a long-term precession model. | 
| 11 |  |  |  |  |  |  | ** | 
| 12 |  |  |  |  |  |  | **  Given: | 
| 13 |  |  |  |  |  |  | **     epj     double     Julian epoch (TT) | 
| 14 |  |  |  |  |  |  | **     dl,db   double     ecliptic longitude and latitude (radians) | 
| 15 |  |  |  |  |  |  | ** | 
| 16 |  |  |  |  |  |  | **  Returned: | 
| 17 |  |  |  |  |  |  | **     dr,dd   double     ICRS right ascension and declination (radians) | 
| 18 |  |  |  |  |  |  | ** | 
| 19 |  |  |  |  |  |  | **  1) No assumptions are made about whether the coordinates represent | 
| 20 |  |  |  |  |  |  | **     starlight and embody astrometric effects such as parallax or | 
| 21 |  |  |  |  |  |  | **     aberration. | 
| 22 |  |  |  |  |  |  | ** | 
| 23 |  |  |  |  |  |  | **  2) The transformation is approximately that from ecliptic longitude | 
| 24 |  |  |  |  |  |  | **     and latitude (mean equinox and ecliptic of date) to mean J2000.0 | 
| 25 |  |  |  |  |  |  | **     right ascension and declination, with only frame bias (always | 
| 26 |  |  |  |  |  |  | **     less than 25 mas) to disturb this classical picture. | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **  3) The Vondrak et al. (2011, 2012) 400 millennia precession model | 
| 29 |  |  |  |  |  |  | **     agrees with the IAU 2006 precession at J2000.0 and stays within | 
| 30 |  |  |  |  |  |  | **     100 microarcseconds during the 20th and 21st centuries.  It is | 
| 31 |  |  |  |  |  |  | **     accurate to a few arcseconds throughout the historical period, | 
| 32 |  |  |  |  |  |  | **     worsening to a few tenths of a degree at the end of the | 
| 33 |  |  |  |  |  |  | **     +/- 200,000 year time span. | 
| 34 |  |  |  |  |  |  | ** | 
| 35 |  |  |  |  |  |  | **  Called: | 
| 36 |  |  |  |  |  |  | **     eraS2c       spherical coordinates to unit vector | 
| 37 |  |  |  |  |  |  | **     eraLtecm     J2000.0 to ecliptic rotation matrix, long term | 
| 38 |  |  |  |  |  |  | **     eraTrxp      product of transpose of r-matrix and p-vector | 
| 39 |  |  |  |  |  |  | **     eraC2s       unit vector to spherical coordinates | 
| 40 |  |  |  |  |  |  | **     eraAnp       normalize angle into range 0 to 2pi | 
| 41 |  |  |  |  |  |  | **     eraAnpm      normalize angle into range +/- pi | 
| 42 |  |  |  |  |  |  | ** | 
| 43 |  |  |  |  |  |  | **  References: | 
| 44 |  |  |  |  |  |  | ** | 
| 45 |  |  |  |  |  |  | **    Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession | 
| 46 |  |  |  |  |  |  | **    expressions, valid for long time intervals, Astron.Astrophys. 534, | 
| 47 |  |  |  |  |  |  | **    A22 | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **    Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession | 
| 50 |  |  |  |  |  |  | **    expressions, valid for long time intervals (Corrigendum), | 
| 51 |  |  |  |  |  |  | **    Astron.Astrophys. 541, C1 | 
| 52 |  |  |  |  |  |  | ** | 
| 53 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 54 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 55 |  |  |  |  |  |  | */ | 
| 56 |  |  |  |  |  |  | { | 
| 57 |  |  |  |  |  |  | double rm[3][3], v1[3], v2[3], a, b; | 
| 58 |  |  |  |  |  |  |  | 
| 59 |  |  |  |  |  |  |  | 
| 60 |  |  |  |  |  |  | /* Spherical to Cartesian. */ | 
| 61 | 0 |  |  |  |  |  | eraS2c(dl, db, v1); | 
| 62 |  |  |  |  |  |  |  | 
| 63 |  |  |  |  |  |  | /* Rotation matrix, ICRS equatorial to ecliptic. */ | 
| 64 | 0 |  |  |  |  |  | eraLtecm(epj, rm); | 
| 65 |  |  |  |  |  |  |  | 
| 66 |  |  |  |  |  |  | /* The transformation from ecliptic to ICRS. */ | 
| 67 | 0 |  |  |  |  |  | eraTrxp(rm, v1, v2); | 
| 68 |  |  |  |  |  |  |  | 
| 69 |  |  |  |  |  |  | /* Cartesian to spherical. */ | 
| 70 | 0 |  |  |  |  |  | eraC2s(v2, &a, &b); | 
| 71 |  |  |  |  |  |  |  | 
| 72 |  |  |  |  |  |  | /* Express in conventional ranges. */ | 
| 73 | 0 |  |  |  |  |  | *dr = eraAnp(a); | 
| 74 | 0 |  |  |  |  |  | *dd = eraAnpm(b); | 
| 75 |  |  |  |  |  |  |  | 
| 76 | 0 |  |  |  |  |  | } | 
| 77 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 78 |  |  |  |  |  |  | ** | 
| 79 |  |  |  |  |  |  | ** | 
| 80 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 81 |  |  |  |  |  |  | **  All rights reserved. | 
| 82 |  |  |  |  |  |  | ** | 
| 83 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 84 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 85 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 86 |  |  |  |  |  |  | ** | 
| 87 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 88 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 89 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 90 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 91 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 92 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 93 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 94 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 95 |  |  |  |  |  |  | ** | 
| 96 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 97 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 98 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 99 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 100 |  |  |  |  |  |  | ** | 
| 101 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 102 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 103 |  |  |  |  |  |  | **  itself. | 
| 104 |  |  |  |  |  |  | ** | 
| 105 |  |  |  |  |  |  | ** | 
| 106 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 107 |  |  |  |  |  |  | ** | 
| 108 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 109 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 110 |  |  |  |  |  |  | **  are met: | 
| 111 |  |  |  |  |  |  | ** | 
| 112 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 113 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 114 |  |  |  |  |  |  | ** | 
| 115 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 116 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 117 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 118 |  |  |  |  |  |  | **    distribution. | 
| 119 |  |  |  |  |  |  | ** | 
| 120 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 121 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 122 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 123 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 124 |  |  |  |  |  |  | ** | 
| 125 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 126 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 127 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 128 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 129 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 130 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 131 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 132 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 133 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 134 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 135 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 136 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 137 |  |  |  |  |  |  | ** | 
| 138 |  |  |  |  |  |  | */ |