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| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraHd2ae (double ha, double dec, double phi, | 
| 4 |  |  |  |  |  |  | double *az, double *el) | 
| 5 |  |  |  |  |  |  | /* | 
| 6 |  |  |  |  |  |  | **  - - - - - - - - - | 
| 7 |  |  |  |  |  |  | **   e r a H d 2 a e | 
| 8 |  |  |  |  |  |  | **  - - - - - - - - - | 
| 9 |  |  |  |  |  |  | ** | 
| 10 |  |  |  |  |  |  | **  Equatorial to horizon coordinates:  transform hour angle and | 
| 11 |  |  |  |  |  |  | **  declination to azimuth and altitude. | 
| 12 |  |  |  |  |  |  | ** | 
| 13 |  |  |  |  |  |  | **  Given: | 
| 14 |  |  |  |  |  |  | **     ha       double       hour angle (local) | 
| 15 |  |  |  |  |  |  | **     dec      double       declination | 
| 16 |  |  |  |  |  |  | **     phi      double       site latitude | 
| 17 |  |  |  |  |  |  | ** | 
| 18 |  |  |  |  |  |  | **  Returned: | 
| 19 |  |  |  |  |  |  | **     *az      double       azimuth | 
| 20 |  |  |  |  |  |  | **     *el      double       altitude (informally, elevation) | 
| 21 |  |  |  |  |  |  | ** | 
| 22 |  |  |  |  |  |  | **  Notes: | 
| 23 |  |  |  |  |  |  | ** | 
| 24 |  |  |  |  |  |  | **  1)  All the arguments are angles in radians. | 
| 25 |  |  |  |  |  |  | ** | 
| 26 |  |  |  |  |  |  | **  2)  Azimuth is returned in the range 0-2pi;  north is zero, and east | 
| 27 |  |  |  |  |  |  | **      is +pi/2.  Altitude is returned in the range +/- pi/2. | 
| 28 |  |  |  |  |  |  | ** | 
| 29 |  |  |  |  |  |  | **  3)  The latitude phi is pi/2 minus the angle between the Earth's | 
| 30 |  |  |  |  |  |  | **      rotation axis and the adopted zenith.  In many applications it | 
| 31 |  |  |  |  |  |  | **      will be sufficient to use the published geodetic latitude of the | 
| 32 |  |  |  |  |  |  | **      site.  In very precise (sub-arcsecond) applications, phi can be | 
| 33 |  |  |  |  |  |  | **      corrected for polar motion. | 
| 34 |  |  |  |  |  |  | ** | 
| 35 |  |  |  |  |  |  | **  4)  The returned azimuth az is with respect to the rotational north | 
| 36 |  |  |  |  |  |  | **      pole, as opposed to the ITRS pole, and for sub-arcsecond | 
| 37 |  |  |  |  |  |  | **      accuracy will need to be adjusted for polar motion if it is to | 
| 38 |  |  |  |  |  |  | **      be with respect to north on a map of the Earth's surface. | 
| 39 |  |  |  |  |  |  | ** | 
| 40 |  |  |  |  |  |  | **  5)  Should the user wish to work with respect to the astronomical | 
| 41 |  |  |  |  |  |  | **      zenith rather than the geodetic zenith, phi will need to be | 
| 42 |  |  |  |  |  |  | **      adjusted for deflection of the vertical (often tens of | 
| 43 |  |  |  |  |  |  | **      arcseconds), and the zero point of the hour angle ha will also | 
| 44 |  |  |  |  |  |  | **      be affected. | 
| 45 |  |  |  |  |  |  | ** | 
| 46 |  |  |  |  |  |  | **  6)  The transformation is the same as Vh = Rz(pi)*Ry(pi/2-phi)*Ve, | 
| 47 |  |  |  |  |  |  | **      where Vh and Ve are lefthanded unit vectors in the (az,el) and | 
| 48 |  |  |  |  |  |  | **      (ha,dec) systems respectively and Ry and Rz are rotations about | 
| 49 |  |  |  |  |  |  | **      first the y-axis and then the z-axis.  (n.b. Rz(pi) simply | 
| 50 |  |  |  |  |  |  | **      reverses the signs of the x and y components.)  For efficiency, | 
| 51 |  |  |  |  |  |  | **      the algorithm is written out rather than calling other utility | 
| 52 |  |  |  |  |  |  | **      functions.  For applications that require even greater | 
| 53 |  |  |  |  |  |  | **      efficiency, additional savings are possible if constant terms | 
| 54 |  |  |  |  |  |  | **      such as functions of latitude are computed once and for all. | 
| 55 |  |  |  |  |  |  | ** | 
| 56 |  |  |  |  |  |  | **  7)  Again for efficiency, no range checking of arguments is carried | 
| 57 |  |  |  |  |  |  | **      out. | 
| 58 |  |  |  |  |  |  | ** | 
| 59 |  |  |  |  |  |  | **  Last revision:   2017 September 12 | 
| 60 |  |  |  |  |  |  | ** | 
| 61 |  |  |  |  |  |  | **  ERFA release 2018-01-30 | 
| 62 |  |  |  |  |  |  | ** | 
| 63 |  |  |  |  |  |  | **  Copyright (C) 2018 IAU ERFA Board.  See notes at end. | 
| 64 |  |  |  |  |  |  | */ | 
| 65 |  |  |  |  |  |  | { | 
| 66 |  |  |  |  |  |  | double sh, ch, sd, cd, sp, cp, x, y, z, r, a; | 
| 67 |  |  |  |  |  |  |  | 
| 68 |  |  |  |  |  |  |  | 
| 69 |  |  |  |  |  |  | /* Useful trig functions. */ | 
| 70 | 0 |  |  |  |  |  | sh = sin(ha); | 
| 71 | 0 |  |  |  |  |  | ch = cos(ha); | 
| 72 | 0 |  |  |  |  |  | sd = sin(dec); | 
| 73 | 0 |  |  |  |  |  | cd = cos(dec); | 
| 74 | 0 |  |  |  |  |  | sp = sin(phi); | 
| 75 | 0 |  |  |  |  |  | cp = cos(phi); | 
| 76 |  |  |  |  |  |  |  | 
| 77 |  |  |  |  |  |  | /* Az,Alt unit vector. */ | 
| 78 | 0 |  |  |  |  |  | x = - ch*cd*sp + sd*cp; | 
| 79 | 0 |  |  |  |  |  | y = - sh*cd; | 
| 80 | 0 |  |  |  |  |  | z = ch*cd*cp + sd*sp; | 
| 81 |  |  |  |  |  |  |  | 
| 82 |  |  |  |  |  |  | /* To spherical. */ | 
| 83 | 0 |  |  |  |  |  | r = sqrt(x*x + y*y); | 
| 84 | 0 | 0 |  |  |  |  | a = (r != 0.0) ? atan2(y,x) : 0.0; | 
| 85 | 0 | 0 |  |  |  |  | *az = (a < 0.0) ? a+ERFA_D2PI : a; | 
| 86 | 0 |  |  |  |  |  | *el = atan2(z,r); | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | /* Finished. */ | 
| 89 |  |  |  |  |  |  |  | 
| 90 | 0 |  |  |  |  |  | } | 
| 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 |  |  |  |  |  |  | */ |