FACT++  1.0
sepp.c
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1 #include "erfa.h"
2 
3 double eraSepp(double a[3], double b[3])
4 /*
5 ** - - - - - - - -
6 ** e r a S e p p
7 ** - - - - - - - -
8 **
9 ** Angular separation between two p-vectors.
10 **
11 ** Given:
12 ** a double[3] first p-vector (not necessarily unit length)
13 ** b double[3] second p-vector (not necessarily unit length)
14 **
15 ** Returned (function value):
16 ** double angular separation (radians, always positive)
17 **
18 ** Notes:
19 **
20 ** 1) If either vector is null, a zero result is returned.
21 **
22 ** 2) The angular separation is most simply formulated in terms of
23 ** scalar product. However, this gives poor accuracy for angles
24 ** near zero and pi. The present algorithm uses both cross product
25 ** and dot product, to deliver full accuracy whatever the size of
26 ** the angle.
27 **
28 ** Called:
29 ** eraPxp vector product of two p-vectors
30 ** eraPm modulus of p-vector
31 ** eraPdp scalar product of two p-vectors
32 **
33 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
34 ** Derived, with permission, from the SOFA library. See notes at end of file.
35 */
36 {
37  double axb[3], ss, cs, s;
38 
39 /* Sine of angle between the vectors, multiplied by the two moduli. */
40  eraPxp(a, b, axb);
41  ss = eraPm(axb);
42 
43 /* Cosine of the angle, multiplied by the two moduli. */
44  cs = eraPdp(a, b);
45 
46 /* The angle. */
47  s = ((ss != 0.0) || (cs != 0.0)) ? atan2(ss, cs) : 0.0;
48 
49  return s;
50 
51 }
52 /*----------------------------------------------------------------------
53 **
54 **
55 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
56 ** All rights reserved.
57 **
58 ** This library is derived, with permission, from the International
59 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
60 ** available from http://www.iausofa.org.
61 **
62 ** The ERFA version is intended to retain identical functionality to
63 ** the SOFA library, but made distinct through different function and
64 ** file names, as set out in the SOFA license conditions. The SOFA
65 ** original has a role as a reference standard for the IAU and IERS,
66 ** and consequently redistribution is permitted only in its unaltered
67 ** state. The ERFA version is not subject to this restriction and
68 ** therefore can be included in distributions which do not support the
69 ** concept of "read only" software.
70 **
71 ** Although the intent is to replicate the SOFA API (other than
72 ** replacement of prefix names) and results (with the exception of
73 ** bugs; any that are discovered will be fixed), SOFA is not
74 ** responsible for any errors found in this version of the library.
75 **
76 ** If you wish to acknowledge the SOFA heritage, please acknowledge
77 ** that you are using a library derived from SOFA, rather than SOFA
78 ** itself.
79 **
80 **
81 ** TERMS AND CONDITIONS
82 **
83 ** Redistribution and use in source and binary forms, with or without
84 ** modification, are permitted provided that the following conditions
85 ** are met:
86 **
87 ** 1 Redistributions of source code must retain the above copyright
88 ** notice, this list of conditions and the following disclaimer.
89 **
90 ** 2 Redistributions in binary form must reproduce the above copyright
91 ** notice, this list of conditions and the following disclaimer in
92 ** the documentation and/or other materials provided with the
93 ** distribution.
94 **
95 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
96 ** the International Astronomical Union nor the names of its
97 ** contributors may be used to endorse or promote products derived
98 ** from this software without specific prior written permission.
99 **
100 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
101 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
102 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
103 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
104 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
105 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
106 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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111 ** POSSIBILITY OF SUCH DAMAGE.
112 **
113 */
double eraPdp(double a[3], double b[3])
Definition: pdp.c:3
double eraPm(double p[3])
Definition: pm.c:3
void eraPxp(double a[3], double b[3], double axb[3])
Definition: pxp.c:3
double eraSepp(double a[3], double b[3])
Definition: sepp.c:3