FACT++  1.0
pas.c
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1 #include "erfa.h"
2 
3 double eraPas(double al, double ap, double bl, double bp)
4 /*
5 ** - - - - - - -
6 ** e r a P a s
7 ** - - - - - - -
8 **
9 ** Position-angle from spherical coordinates.
10 **
11 ** Given:
12 ** al double longitude of point A (e.g. RA) in radians
13 ** ap double latitude of point A (e.g. Dec) in radians
14 ** bl double longitude of point B
15 ** bp double latitude of point B
16 **
17 ** Returned (function value):
18 ** double position angle of B with respect to A
19 **
20 ** Notes:
21 **
22 ** 1) The result is the bearing (position angle), in radians, of point
23 ** B with respect to point A. It is in the range -pi to +pi. The
24 ** sense is such that if B is a small distance "east" of point A,
25 ** the bearing is approximately +pi/2.
26 **
27 ** 2) Zero is returned if the two points are coincident.
28 **
29 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
30 ** Derived, with permission, from the SOFA library. See notes at end of file.
31 */
32 {
33  double dl, x, y, pa;
34 
35  dl = bl - al;
36  y = sin(dl) * cos(bp);
37  x = sin(bp) * cos(ap) - cos(bp) * sin(ap) * cos(dl);
38  pa = ((x != 0.0) || (y != 0.0)) ? atan2(y, x) : 0.0;
39 
40  return pa;
41 
42 }
43 /*----------------------------------------------------------------------
44 **
45 **
46 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
47 ** All rights reserved.
48 **
49 ** This library is derived, with permission, from the International
50 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
51 ** available from http://www.iausofa.org.
52 **
53 ** The ERFA version is intended to retain identical functionality to
54 ** the SOFA library, but made distinct through different function and
55 ** file names, as set out in the SOFA license conditions. The SOFA
56 ** original has a role as a reference standard for the IAU and IERS,
57 ** and consequently redistribution is permitted only in its unaltered
58 ** state. The ERFA version is not subject to this restriction and
59 ** therefore can be included in distributions which do not support the
60 ** concept of "read only" software.
61 **
62 ** Although the intent is to replicate the SOFA API (other than
63 ** replacement of prefix names) and results (with the exception of
64 ** bugs; any that are discovered will be fixed), SOFA is not
65 ** responsible for any errors found in this version of the library.
66 **
67 ** If you wish to acknowledge the SOFA heritage, please acknowledge
68 ** that you are using a library derived from SOFA, rather than SOFA
69 ** itself.
70 **
71 **
72 ** TERMS AND CONDITIONS
73 **
74 ** Redistribution and use in source and binary forms, with or without
75 ** modification, are permitted provided that the following conditions
76 ** are met:
77 **
78 ** 1 Redistributions of source code must retain the above copyright
79 ** notice, this list of conditions and the following disclaimer.
80 **
81 ** 2 Redistributions in binary form must reproduce the above copyright
82 ** notice, this list of conditions and the following disclaimer in
83 ** the documentation and/or other materials provided with the
84 ** distribution.
85 **
86 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
87 ** the International Astronomical Union nor the names of its
88 ** contributors may be used to endorse or promote products derived
89 ** from this software without specific prior written permission.
90 **
91 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
92 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
93 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
94 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
95 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
96 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
97 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
98 ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
99 ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
100 ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
101 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
102 ** POSSIBILITY OF SUCH DAMAGE.
103 **
104 */
double eraPas(double al, double ap, double bl, double bp)
Definition: pas.c:3