| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraAticq(double ri, double di, eraASTROM *astrom, | 
| 4 |  |  |  |  |  |  | double *rc, double *dc) | 
| 5 |  |  |  |  |  |  | /* | 
| 6 |  |  |  |  |  |  | **  - - - - - - - - - | 
| 7 |  |  |  |  |  |  | **   e r a A t i c q | 
| 8 |  |  |  |  |  |  | **  - - - - - - - - - | 
| 9 |  |  |  |  |  |  | ** | 
| 10 |  |  |  |  |  |  | **  Quick CIRS RA,Dec to ICRS astrometric place, given the star- | 
| 11 |  |  |  |  |  |  | **  independent astrometry parameters. | 
| 12 |  |  |  |  |  |  | ** | 
| 13 |  |  |  |  |  |  | **  Use of this function is appropriate when efficiency is important and | 
| 14 |  |  |  |  |  |  | **  where many star positions are all to be transformed for one date. | 
| 15 |  |  |  |  |  |  | **  The star-independent astrometry parameters can be obtained by | 
| 16 |  |  |  |  |  |  | **  calling one of the functions eraApci[13], eraApcg[13], eraApco[13] | 
| 17 |  |  |  |  |  |  | **  or eraApcs[13]. | 
| 18 |  |  |  |  |  |  | ** | 
| 19 |  |  |  |  |  |  | **  Given: | 
| 20 |  |  |  |  |  |  | **     ri,di  double     CIRS RA,Dec (radians) | 
| 21 |  |  |  |  |  |  | **     astrom eraASTROM* star-independent astrometry parameters: | 
| 22 |  |  |  |  |  |  | **      pmt    double       PM time interval (SSB, Julian years) | 
| 23 |  |  |  |  |  |  | **      eb     double[3]    SSB to observer (vector, au) | 
| 24 |  |  |  |  |  |  | **      eh     double[3]    Sun to observer (unit vector) | 
| 25 |  |  |  |  |  |  | **      em     double       distance from Sun to observer (au) | 
| 26 |  |  |  |  |  |  | **      v      double[3]    barycentric observer velocity (vector, c) | 
| 27 |  |  |  |  |  |  | **      bm1    double       sqrt(1-|v|^2): reciprocal of Lorenz factor | 
| 28 |  |  |  |  |  |  | **      bpn    double[3][3] bias-precession-nutation matrix | 
| 29 |  |  |  |  |  |  | **      along  double       longitude + s' (radians) | 
| 30 |  |  |  |  |  |  | **      xpl    double       polar motion xp wrt local meridian (radians) | 
| 31 |  |  |  |  |  |  | **      ypl    double       polar motion yp wrt local meridian (radians) | 
| 32 |  |  |  |  |  |  | **      sphi   double       sine of geodetic latitude | 
| 33 |  |  |  |  |  |  | **      cphi   double       cosine of geodetic latitude | 
| 34 |  |  |  |  |  |  | **      diurab double       magnitude of diurnal aberration vector | 
| 35 |  |  |  |  |  |  | **      eral   double       "local" Earth rotation angle (radians) | 
| 36 |  |  |  |  |  |  | **      refa   double       refraction constant A (radians) | 
| 37 |  |  |  |  |  |  | **      refb   double       refraction constant B (radians) | 
| 38 |  |  |  |  |  |  | ** | 
| 39 |  |  |  |  |  |  | **  Returned: | 
| 40 |  |  |  |  |  |  | **     rc,dc  double     ICRS astrometric RA,Dec (radians) | 
| 41 |  |  |  |  |  |  | ** | 
| 42 |  |  |  |  |  |  | **  Notes: | 
| 43 |  |  |  |  |  |  | ** | 
| 44 |  |  |  |  |  |  | **  1) Only the Sun is taken into account in the light deflection | 
| 45 |  |  |  |  |  |  | **     correction. | 
| 46 |  |  |  |  |  |  | ** | 
| 47 |  |  |  |  |  |  | **  2) Iterative techniques are used for the aberration and light | 
| 48 |  |  |  |  |  |  | **     deflection corrections so that the functions eraAtic13 (or | 
| 49 |  |  |  |  |  |  | **     eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses; | 
| 50 |  |  |  |  |  |  | **     even at the edge of the Sun's disk the discrepancy is only about | 
| 51 |  |  |  |  |  |  | **     1 nanoarcsecond. | 
| 52 |  |  |  |  |  |  | ** | 
| 53 |  |  |  |  |  |  | **  Called: | 
| 54 |  |  |  |  |  |  | **     eraS2c       spherical coordinates to unit vector | 
| 55 |  |  |  |  |  |  | **     eraTrxp      product of transpose of r-matrix and p-vector | 
| 56 |  |  |  |  |  |  | **     eraZp        zero p-vector | 
| 57 |  |  |  |  |  |  | **     eraAb        stellar aberration | 
| 58 |  |  |  |  |  |  | **     eraLdsun     light deflection by the Sun | 
| 59 |  |  |  |  |  |  | **     eraC2s       p-vector to spherical | 
| 60 |  |  |  |  |  |  | **     eraAnp       normalize angle into range +/- pi | 
| 61 |  |  |  |  |  |  | ** | 
| 62 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 63 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 64 |  |  |  |  |  |  | */ | 
| 65 |  |  |  |  |  |  | { | 
| 66 |  |  |  |  |  |  | int j, i; | 
| 67 |  |  |  |  |  |  | double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r, | 
| 68 |  |  |  |  |  |  | after[3]; | 
| 69 |  |  |  |  |  |  |  | 
| 70 |  |  |  |  |  |  |  | 
| 71 |  |  |  |  |  |  | /* CIRS RA,Dec to Cartesian. */ | 
| 72 | 0 |  |  |  |  |  | eraS2c(ri, di, pi); | 
| 73 |  |  |  |  |  |  |  | 
| 74 |  |  |  |  |  |  | /* Bias-precession-nutation, giving GCRS proper direction. */ | 
| 75 | 0 |  |  |  |  |  | eraTrxp(astrom->bpn, pi, ppr); | 
| 76 |  |  |  |  |  |  |  | 
| 77 |  |  |  |  |  |  | /* Aberration, giving GCRS natural direction. */ | 
| 78 | 0 |  |  |  |  |  | eraZp(d); | 
| 79 | 0 | 0 |  |  |  |  | for (j = 0; j < 2; j++) { | 
| 80 |  |  |  |  |  |  | r2 = 0.0; | 
| 81 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 82 | 0 |  |  |  |  |  | w = ppr[i] - d[i]; | 
| 83 | 0 |  |  |  |  |  | before[i] = w; | 
| 84 | 0 |  |  |  |  |  | r2 += w*w; | 
| 85 |  |  |  |  |  |  | } | 
| 86 | 0 |  |  |  |  |  | r = sqrt(r2); | 
| 87 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 88 | 0 |  |  |  |  |  | before[i] /= r; | 
| 89 |  |  |  |  |  |  | } | 
| 90 | 0 |  |  |  |  |  | eraAb(before, astrom->v, astrom->em, astrom->bm1, after); | 
| 91 |  |  |  |  |  |  | r2 = 0.0; | 
| 92 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 93 | 0 |  |  |  |  |  | d[i] = after[i] - before[i]; | 
| 94 | 0 |  |  |  |  |  | w = ppr[i] - d[i]; | 
| 95 | 0 |  |  |  |  |  | pnat[i] = w; | 
| 96 | 0 |  |  |  |  |  | r2 += w*w; | 
| 97 |  |  |  |  |  |  | } | 
| 98 | 0 |  |  |  |  |  | r = sqrt(r2); | 
| 99 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 100 | 0 |  |  |  |  |  | pnat[i] /= r; | 
| 101 |  |  |  |  |  |  | } | 
| 102 |  |  |  |  |  |  | } | 
| 103 |  |  |  |  |  |  |  | 
| 104 |  |  |  |  |  |  | /* Light deflection by the Sun, giving BCRS coordinate direction. */ | 
| 105 | 0 |  |  |  |  |  | eraZp(d); | 
| 106 | 0 | 0 |  |  |  |  | for (j = 0; j < 5; j++) { | 
| 107 |  |  |  |  |  |  | r2 = 0.0; | 
| 108 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 109 | 0 |  |  |  |  |  | w = pnat[i] - d[i]; | 
| 110 | 0 |  |  |  |  |  | before[i] = w; | 
| 111 | 0 |  |  |  |  |  | r2 += w*w; | 
| 112 |  |  |  |  |  |  | } | 
| 113 | 0 |  |  |  |  |  | r = sqrt(r2); | 
| 114 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 115 | 0 |  |  |  |  |  | before[i] /= r; | 
| 116 |  |  |  |  |  |  | } | 
| 117 | 0 |  |  |  |  |  | eraLdsun(before, astrom->eh, astrom->em, after); | 
| 118 |  |  |  |  |  |  | r2 = 0.0; | 
| 119 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 120 | 0 |  |  |  |  |  | d[i] = after[i] - before[i]; | 
| 121 | 0 |  |  |  |  |  | w = pnat[i] - d[i]; | 
| 122 | 0 |  |  |  |  |  | pco[i] = w; | 
| 123 | 0 |  |  |  |  |  | r2 += w*w; | 
| 124 |  |  |  |  |  |  | } | 
| 125 | 0 |  |  |  |  |  | r = sqrt(r2); | 
| 126 | 0 | 0 |  |  |  |  | for (i = 0; i < 3; i++) { | 
| 127 | 0 |  |  |  |  |  | pco[i] /= r; | 
| 128 |  |  |  |  |  |  | } | 
| 129 |  |  |  |  |  |  | } | 
| 130 |  |  |  |  |  |  |  | 
| 131 |  |  |  |  |  |  | /* ICRS astrometric RA,Dec. */ | 
| 132 | 0 |  |  |  |  |  | eraC2s(pco, &w, dc); | 
| 133 | 0 |  |  |  |  |  | *rc = eraAnp(w); | 
| 134 |  |  |  |  |  |  |  | 
| 135 |  |  |  |  |  |  | /* Finished. */ | 
| 136 |  |  |  |  |  |  |  | 
| 137 | 0 |  |  |  |  |  | } | 
| 138 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 139 |  |  |  |  |  |  | ** | 
| 140 |  |  |  |  |  |  | ** | 
| 141 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 142 |  |  |  |  |  |  | **  All rights reserved. | 
| 143 |  |  |  |  |  |  | ** | 
| 144 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 145 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 146 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 147 |  |  |  |  |  |  | ** | 
| 148 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 149 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 150 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 151 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 152 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 153 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 154 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 155 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 156 |  |  |  |  |  |  | ** | 
| 157 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 158 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 159 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 160 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 161 |  |  |  |  |  |  | ** | 
| 162 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 163 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 164 |  |  |  |  |  |  | **  itself. | 
| 165 |  |  |  |  |  |  | ** | 
| 166 |  |  |  |  |  |  | ** | 
| 167 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 168 |  |  |  |  |  |  | ** | 
| 169 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 170 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 171 |  |  |  |  |  |  | **  are met: | 
| 172 |  |  |  |  |  |  | ** | 
| 173 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 174 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 175 |  |  |  |  |  |  | ** | 
| 176 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 177 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 178 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 179 |  |  |  |  |  |  | **    distribution. | 
| 180 |  |  |  |  |  |  | ** | 
| 181 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 182 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 183 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 184 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 185 |  |  |  |  |  |  | ** | 
| 186 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 187 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 188 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 189 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 190 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 191 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 192 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 193 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 194 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 195 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 196 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 197 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 198 |  |  |  |  |  |  | ** | 
| 199 |  |  |  |  |  |  | */ |