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| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palDs2tp | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     Spherical to tangent plane projection | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     palDs2tp( double ra, double dec, double raz, double decz, | 
| 17 |  |  |  |  |  |  | *               double *xi, double *eta, int *j ); | 
| 18 |  |  |  |  |  |  |  | 
| 19 |  |  |  |  |  |  | *  Arguments: | 
| 20 |  |  |  |  |  |  | *     ra = double (Given) | 
| 21 |  |  |  |  |  |  | *        RA spherical coordinate of point to be projected (radians) | 
| 22 |  |  |  |  |  |  | *     dec = double (Given) | 
| 23 |  |  |  |  |  |  | *        Dec spherical coordinate of point to be projected (radians) | 
| 24 |  |  |  |  |  |  | *     raz = double (Given) | 
| 25 |  |  |  |  |  |  | *        RA spherical coordinate of tangent point (radians) | 
| 26 |  |  |  |  |  |  | *     decz = double (Given) | 
| 27 |  |  |  |  |  |  | *        Dec spherical coordinate of tangent point (radians) | 
| 28 |  |  |  |  |  |  | *     xi = double * (Returned) | 
| 29 |  |  |  |  |  |  | *        First rectangular coordinate on tangent plane (radians) | 
| 30 |  |  |  |  |  |  | *     eta = double * (Returned) | 
| 31 |  |  |  |  |  |  | *        Second rectangular coordinate on tangent plane (radians) | 
| 32 |  |  |  |  |  |  | *     j = int * (Returned) | 
| 33 |  |  |  |  |  |  | *        status: 0 = OK, star on tangent plane | 
| 34 |  |  |  |  |  |  | *                1 = error, star too far from axis | 
| 35 |  |  |  |  |  |  | *                2 = error, antistar on tangent plane | 
| 36 |  |  |  |  |  |  | *                3 = error, antistar too far from axis | 
| 37 |  |  |  |  |  |  |  | 
| 38 |  |  |  |  |  |  | *  Description: | 
| 39 |  |  |  |  |  |  | *     Projection of spherical coordinates onto tangent plane: | 
| 40 |  |  |  |  |  |  | *     "gnomonic" projection - "standard coordinates" | 
| 41 |  |  |  |  |  |  |  | 
| 42 |  |  |  |  |  |  | *  Authors: | 
| 43 |  |  |  |  |  |  | *     PTW: Pat Wallace (STFC) | 
| 44 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 45 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 46 |  |  |  |  |  |  |  | 
| 47 |  |  |  |  |  |  | *  History: | 
| 48 |  |  |  |  |  |  | *     2012-02-08 (TIMJ): | 
| 49 |  |  |  |  |  |  | *        Initial version with documentation taken from Fortran SLA | 
| 50 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 51 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 52 |  |  |  |  |  |  |  | 
| 53 |  |  |  |  |  |  | *  Copyright: | 
| 54 |  |  |  |  |  |  | *     Copyright (C) 1996 Rutherford Appleton Laboratory | 
| 55 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 56 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 57 |  |  |  |  |  |  |  | 
| 58 |  |  |  |  |  |  | *  Licence: | 
| 59 |  |  |  |  |  |  | *     This program is free software: you can redistribute it and/or | 
| 60 |  |  |  |  |  |  | *     modify it under the terms of the GNU Lesser General Public | 
| 61 |  |  |  |  |  |  | *     License as published by the Free Software Foundation, either | 
| 62 |  |  |  |  |  |  | *     version 3 of the License, or (at your option) any later | 
| 63 |  |  |  |  |  |  | *     version. | 
| 64 |  |  |  |  |  |  | * | 
| 65 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be useful, | 
| 66 |  |  |  |  |  |  | *     but WITHOUT ANY WARRANTY; without even the implied warranty of | 
| 67 |  |  |  |  |  |  | *     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
| 68 |  |  |  |  |  |  | *     GNU Lesser General Public License for more details. | 
| 69 |  |  |  |  |  |  | * | 
| 70 |  |  |  |  |  |  | *     You should have received a copy of the GNU Lesser General | 
| 71 |  |  |  |  |  |  | *     License along with this program.  If not, see | 
| 72 |  |  |  |  |  |  | *     . | 
| 73 |  |  |  |  |  |  |  | 
| 74 |  |  |  |  |  |  | *  Bugs: | 
| 75 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 76 |  |  |  |  |  |  | *- | 
| 77 |  |  |  |  |  |  | */ | 
| 78 |  |  |  |  |  |  |  | 
| 79 |  |  |  |  |  |  | #include "pal.h" | 
| 80 |  |  |  |  |  |  | #include | 
| 81 |  |  |  |  |  |  |  | 
| 82 |  |  |  |  |  |  | void | 
| 83 | 0 |  |  |  |  |  | palDs2tp ( double ra, double dec, double raz, double decz, | 
| 84 |  |  |  |  |  |  | double *xi, double *eta, int *j ) { | 
| 85 |  |  |  |  |  |  |  | 
| 86 |  |  |  |  |  |  | const double TINY = 1.0e-6; | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | double cdec; | 
| 89 |  |  |  |  |  |  | double sdec; | 
| 90 |  |  |  |  |  |  | double radif; | 
| 91 |  |  |  |  |  |  | double cdecz; | 
| 92 |  |  |  |  |  |  | double denom; | 
| 93 |  |  |  |  |  |  | double sdecz; | 
| 94 |  |  |  |  |  |  | double cradif; | 
| 95 |  |  |  |  |  |  | double sradif; | 
| 96 |  |  |  |  |  |  |  | 
| 97 |  |  |  |  |  |  | /*  Trig functions */ | 
| 98 | 0 |  |  |  |  |  | sdecz = sin(decz); | 
| 99 | 0 |  |  |  |  |  | sdec = sin(dec); | 
| 100 | 0 |  |  |  |  |  | cdecz = cos(decz); | 
| 101 | 0 |  |  |  |  |  | cdec = cos(dec); | 
| 102 | 0 |  |  |  |  |  | radif = ra - raz; | 
| 103 | 0 |  |  |  |  |  | sradif = sin(radif); | 
| 104 | 0 |  |  |  |  |  | cradif = cos(radif); | 
| 105 |  |  |  |  |  |  |  | 
| 106 |  |  |  |  |  |  | /*  Reciprocal of star vector length to tangent plane */ | 
| 107 | 0 |  |  |  |  |  | denom = sdec * sdecz + cdec * cdecz * cradif; | 
| 108 |  |  |  |  |  |  |  | 
| 109 |  |  |  |  |  |  | /*  Handle vectors too far from axis */ | 
| 110 | 0 | 0 |  |  |  |  | if (denom > TINY) { | 
| 111 | 0 |  |  |  |  |  | *j = 0; | 
| 112 | 0 | 0 |  |  |  |  | } else if (denom >= 0.) { | 
| 113 | 0 |  |  |  |  |  | *j = 1; | 
| 114 |  |  |  |  |  |  | denom = TINY; | 
| 115 | 0 | 0 |  |  |  |  | } else if (denom > -TINY) { | 
| 116 | 0 |  |  |  |  |  | *j = 2; | 
| 117 |  |  |  |  |  |  | denom = -TINY; | 
| 118 |  |  |  |  |  |  | } else { | 
| 119 | 0 |  |  |  |  |  | *j = 3; | 
| 120 |  |  |  |  |  |  | } | 
| 121 |  |  |  |  |  |  |  | 
| 122 |  |  |  |  |  |  | /*  Compute tangent plane coordinates (even in dubious cases) */ | 
| 123 | 0 |  |  |  |  |  | *xi = cdec * sradif / denom; | 
| 124 | 0 |  |  |  |  |  | *eta = (sdec * cdecz - cdec * sdecz * cradif) / denom; | 
| 125 |  |  |  |  |  |  |  | 
| 126 | 0 |  |  |  |  |  | return; | 
| 127 |  |  |  |  |  |  | } |