FACT++  1.0
rx.c
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1 #include "erfa.h"
2 
3 void eraRx(double phi, double r[3][3])
4 /*
5 ** - - - - - -
6 ** e r a R x
7 ** - - - - - -
8 **
9 ** Rotate an r-matrix about the x-axis.
10 **
11 ** Given:
12 ** phi double angle (radians)
13 **
14 ** Given and returned:
15 ** r double[3][3] r-matrix, rotated
16 **
17 ** Notes:
18 **
19 ** 1) Calling this function with positive phi incorporates in the
20 ** supplied r-matrix r an additional rotation, about the x-axis,
21 ** anticlockwise as seen looking towards the origin from positive x.
22 **
23 ** 2) The additional rotation can be represented by this matrix:
24 **
25 ** ( 1 0 0 )
26 ** ( )
27 ** ( 0 + cos(phi) + sin(phi) )
28 ** ( )
29 ** ( 0 - sin(phi) + cos(phi) )
30 **
31 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
32 ** Derived, with permission, from the SOFA library. See notes at end of file.
33 */
34 {
35  double s, c, a10, a11, a12, a20, a21, a22;
36 
37  s = sin(phi);
38  c = cos(phi);
39 
40  a10 = c*r[1][0] + s*r[2][0];
41  a11 = c*r[1][1] + s*r[2][1];
42  a12 = c*r[1][2] + s*r[2][2];
43  a20 = - s*r[1][0] + c*r[2][0];
44  a21 = - s*r[1][1] + c*r[2][1];
45  a22 = - s*r[1][2] + c*r[2][2];
46 
47  r[1][0] = a10;
48  r[1][1] = a11;
49  r[1][2] = a12;
50  r[2][0] = a20;
51  r[2][1] = a21;
52  r[2][2] = a22;
53 
54  return;
55 
56 }
57 /*----------------------------------------------------------------------
58 **
59 **
60 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
61 ** All rights reserved.
62 **
63 ** This library is derived, with permission, from the International
64 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
65 ** available from http://www.iausofa.org.
66 **
67 ** The ERFA version is intended to retain identical functionality to
68 ** the SOFA library, but made distinct through different function and
69 ** file names, as set out in the SOFA license conditions. The SOFA
70 ** original has a role as a reference standard for the IAU and IERS,
71 ** and consequently redistribution is permitted only in its unaltered
72 ** state. The ERFA version is not subject to this restriction and
73 ** therefore can be included in distributions which do not support the
74 ** concept of "read only" software.
75 **
76 ** Although the intent is to replicate the SOFA API (other than
77 ** replacement of prefix names) and results (with the exception of
78 ** bugs; any that are discovered will be fixed), SOFA is not
79 ** responsible for any errors found in this version of the library.
80 **
81 ** If you wish to acknowledge the SOFA heritage, please acknowledge
82 ** that you are using a library derived from SOFA, rather than SOFA
83 ** itself.
84 **
85 **
86 ** TERMS AND CONDITIONS
87 **
88 ** Redistribution and use in source and binary forms, with or without
89 ** modification, are permitted provided that the following conditions
90 ** are met:
91 **
92 ** 1 Redistributions of source code must retain the above copyright
93 ** notice, this list of conditions and the following disclaimer.
94 **
95 ** 2 Redistributions in binary form must reproduce the above copyright
96 ** notice, this list of conditions and the following disclaimer in
97 ** the documentation and/or other materials provided with the
98 ** distribution.
99 **
100 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
101 ** the International Astronomical Union nor the names of its
102 ** contributors may be used to endorse or promote products derived
103 ** from this software without specific prior written permission.
104 **
105 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
106 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
107 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
108 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
109 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
110 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
111 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
112 ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
113 ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
114 ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
115 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
116 ** POSSIBILITY OF SUCH DAMAGE.
117 **
118 */
void eraRx(double phi, double r[3][3])
Definition: rx.c:3