| 1 | /* | 
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| 2 | *+ | 
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| 3 | *  Name: | 
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| 4 | *     palDe2h | 
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| 5 |  | 
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| 6 | *  Purpose: | 
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| 7 | *     Equatorial to horizon coordinates: HA,Dec to Az,E | 
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| 8 |  | 
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| 9 | *  Language: | 
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| 10 | *     Starlink ANSI C | 
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| 11 |  | 
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| 12 | *  Type of Module: | 
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| 13 | *     Library routine | 
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| 14 |  | 
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| 15 | *  Invocation: | 
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| 16 | *     palDe2h( double ha, double dec, double phi, double * az, double * el ); | 
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| 17 |  | 
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| 18 | *  Arguments: | 
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| 19 | *     ha = double * (Given) | 
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| 20 | *        Hour angle (radians) | 
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| 21 | *     dec = double * (Given) | 
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| 22 | *        Declination (radians) | 
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| 23 | *     phi = double (Given) | 
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| 24 | *        Observatory latitude (radians) | 
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| 25 | *     az = double * (Returned) | 
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| 26 | *        Azimuth (radians) | 
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| 27 | *     el = double * (Returned) | 
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| 28 | *        Elevation (radians) | 
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| 29 |  | 
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| 30 | *  Description: | 
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| 31 | *     Convert equatorial to horizon coordinates. | 
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| 32 |  | 
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| 33 | *  Authors: | 
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| 34 | *     PTW: Pat Wallace (STFC) | 
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| 35 | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
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| 36 | *     {enter_new_authors_here} | 
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| 37 |  | 
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| 38 | *  Notes: | 
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| 39 | *     - All the arguments are angles in radians. | 
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| 40 | *     - Azimuth is returned in the range 0-2pi;  north is zero, | 
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| 41 | *       and east is +pi/2.  Elevation is returned in the range | 
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| 42 | *       +/-pi/2. | 
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| 43 | *     - The latitude must be geodetic.  In critical applications, | 
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| 44 | *       corrections for polar motion should be applied. | 
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| 45 | *     - In some applications it will be important to specify the | 
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| 46 | *       correct type of hour angle and declination in order to | 
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| 47 | *       produce the required type of azimuth and elevation.  In | 
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| 48 | *       particular, it may be important to distinguish between | 
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| 49 | *       elevation as affected by refraction, which would | 
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| 50 | *       require the "observed" HA,Dec, and the elevation | 
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| 51 | *       in vacuo, which would require the "topocentric" HA,Dec. | 
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| 52 | *       If the effects of diurnal aberration can be neglected, the | 
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| 53 | *       "apparent" HA,Dec may be used instead of the topocentric | 
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| 54 | *       HA,Dec. | 
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| 55 | *     - No range checking of arguments is carried out. | 
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| 56 | *     - In applications which involve many such calculations, rather | 
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| 57 | *       than calling the present routine it will be more efficient to | 
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| 58 | *       use inline code, having previously computed fixed terms such | 
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| 59 | *       as sine and cosine of latitude, and (for tracking a star) | 
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| 60 | *       sine and cosine of declination. | 
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| 61 |  | 
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| 62 | *  History: | 
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| 63 | *     2012-02-08 (TIMJ): | 
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| 64 | *        Initial version with documentation taken from Fortran SLA | 
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| 65 | *        Adapted with permission from the Fortran SLALIB library. | 
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| 66 | *     {enter_further_changes_here} | 
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| 67 |  | 
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| 68 | *  Copyright: | 
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| 69 | *     Copyright (C) 1995 Rutherford Appleton Laboratory | 
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| 70 | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
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| 71 | *     All Rights Reserved. | 
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| 72 |  | 
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| 73 | *  Licence: | 
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| 74 | *     This program is free software: you can redistribute it and/or | 
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| 75 | *     modify it under the terms of the GNU Lesser General Public | 
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| 76 | *     License as published by the Free Software Foundation, either | 
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| 77 | *     version 3 of the License, or (at your option) any later | 
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| 78 | *     version. | 
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| 79 | * | 
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| 80 | *     This program is distributed in the hope that it will be useful, | 
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| 81 | *     but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 82 | *     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
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| 83 | *     GNU Lesser General Public License for more details. | 
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| 84 | * | 
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| 85 | *     You should have received a copy of the GNU Lesser General | 
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| 86 | *     License along with this program.  If not, see | 
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| 87 | *     <http://www.gnu.org/licenses/>. | 
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| 88 |  | 
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| 89 | *  Bugs: | 
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| 90 | *     {note_any_bugs_here} | 
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| 91 | *- | 
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| 92 | */ | 
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| 93 |  | 
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| 94 | #include "pal.h" | 
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| 95 | #include "palmac.h" | 
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| 96 | #include <math.h> | 
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| 97 |  | 
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| 98 | void | 
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| 99 | palDe2h ( double ha, double dec, double phi, double *az, double *el) { | 
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| 100 |  | 
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| 101 | double sh; | 
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| 102 | double ch; | 
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| 103 | double sd; | 
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| 104 | double cd; | 
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| 105 | double sp; | 
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| 106 | double cp; | 
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| 107 |  | 
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| 108 | double a; | 
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| 109 |  | 
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| 110 | double x; | 
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| 111 | double y; | 
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| 112 | double z; | 
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| 113 | double r; | 
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| 114 |  | 
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| 115 | /*  Useful trig functions */ | 
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| 116 | sh = sin(ha); | 
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| 117 | ch = cos(ha); | 
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| 118 | sd = sin(dec); | 
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| 119 | cd = cos(dec); | 
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| 120 | sp = sin(phi); | 
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| 121 | cp = cos(phi); | 
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| 122 |  | 
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| 123 | /*  Az,El as x,y,z */ | 
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| 124 | x = -ch * cd * sp + sd * cp; | 
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| 125 | y = -sh * cd; | 
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| 126 | z = ch * cd * cp + sd * sp; | 
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| 127 |  | 
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| 128 | /*  To spherical */ | 
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| 129 | r = sqrt(x * x + y * y); | 
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| 130 | if (r == 0.) { | 
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| 131 | a = 0.; | 
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| 132 | } else { | 
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| 133 | a = atan2(y, x); | 
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| 134 | } | 
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| 135 | if (a < 0.) { | 
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| 136 | a += PAL__D2PI; | 
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| 137 | } | 
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| 138 | *az = a; | 
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| 139 | *el = atan2(z, r); | 
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| 140 |  | 
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| 141 | return; | 
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| 142 | } | 
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