line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
1
|
|
|
|
|
|
|
#include "erfa.h" |
2
|
|
|
|
|
|
|
|
3
|
0
|
|
|
|
|
|
void eraC2teqx(double rbpn[3][3], double gst, double rpom[3][3], |
4
|
|
|
|
|
|
|
double rc2t[3][3]) |
5
|
|
|
|
|
|
|
/* |
6
|
|
|
|
|
|
|
** - - - - - - - - - - |
7
|
|
|
|
|
|
|
** e r a C 2 t e q x |
8
|
|
|
|
|
|
|
** - - - - - - - - - - |
9
|
|
|
|
|
|
|
** |
10
|
|
|
|
|
|
|
** Assemble the celestial to terrestrial matrix from equinox-based |
11
|
|
|
|
|
|
|
** components (the celestial-to-true matrix, the Greenwich Apparent |
12
|
|
|
|
|
|
|
** Sidereal Time and the polar motion matrix). |
13
|
|
|
|
|
|
|
** |
14
|
|
|
|
|
|
|
** Given: |
15
|
|
|
|
|
|
|
** rbpn double[3][3] celestial-to-true matrix |
16
|
|
|
|
|
|
|
** gst double Greenwich (apparent) Sidereal Time (radians) |
17
|
|
|
|
|
|
|
** rpom double[3][3] polar-motion matrix |
18
|
|
|
|
|
|
|
** |
19
|
|
|
|
|
|
|
** Returned: |
20
|
|
|
|
|
|
|
** rc2t double[3][3] celestial-to-terrestrial matrix (Note 2) |
21
|
|
|
|
|
|
|
** |
22
|
|
|
|
|
|
|
** Notes: |
23
|
|
|
|
|
|
|
** |
24
|
|
|
|
|
|
|
** 1) This function constructs the rotation matrix that transforms |
25
|
|
|
|
|
|
|
** vectors in the celestial system into vectors in the terrestrial |
26
|
|
|
|
|
|
|
** system. It does so starting from precomputed components, namely |
27
|
|
|
|
|
|
|
** the matrix which rotates from celestial coordinates to the |
28
|
|
|
|
|
|
|
** true equator and equinox of date, the Greenwich Apparent Sidereal |
29
|
|
|
|
|
|
|
** Time and the polar motion matrix. One use of the present function |
30
|
|
|
|
|
|
|
** is when generating a series of celestial-to-terrestrial matrices |
31
|
|
|
|
|
|
|
** where only the Sidereal Time changes, avoiding the considerable |
32
|
|
|
|
|
|
|
** overhead of recomputing the precession-nutation more often than |
33
|
|
|
|
|
|
|
** necessary to achieve given accuracy objectives. |
34
|
|
|
|
|
|
|
** |
35
|
|
|
|
|
|
|
** 2) The relationship between the arguments is as follows: |
36
|
|
|
|
|
|
|
** |
37
|
|
|
|
|
|
|
** [TRS] = rpom * R_3(gst) * rbpn * [CRS] |
38
|
|
|
|
|
|
|
** |
39
|
|
|
|
|
|
|
** = rc2t * [CRS] |
40
|
|
|
|
|
|
|
** |
41
|
|
|
|
|
|
|
** where [CRS] is a vector in the Geocentric Celestial Reference |
42
|
|
|
|
|
|
|
** System and [TRS] is a vector in the International Terrestrial |
43
|
|
|
|
|
|
|
** Reference System (see IERS Conventions 2003). |
44
|
|
|
|
|
|
|
** |
45
|
|
|
|
|
|
|
** Called: |
46
|
|
|
|
|
|
|
** eraCr copy r-matrix |
47
|
|
|
|
|
|
|
** eraRz rotate around Z-axis |
48
|
|
|
|
|
|
|
** eraRxr product of two r-matrices |
49
|
|
|
|
|
|
|
** |
50
|
|
|
|
|
|
|
** Reference: |
51
|
|
|
|
|
|
|
** |
52
|
|
|
|
|
|
|
** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), |
53
|
|
|
|
|
|
|
** IERS Technical Note No. 32, BKG (2004) |
54
|
|
|
|
|
|
|
** |
55
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
56
|
|
|
|
|
|
|
** Derived, with permission, from the SOFA library. See notes at end of file. |
57
|
|
|
|
|
|
|
*/ |
58
|
|
|
|
|
|
|
{ |
59
|
|
|
|
|
|
|
double r[3][3]; |
60
|
|
|
|
|
|
|
|
61
|
|
|
|
|
|
|
|
62
|
|
|
|
|
|
|
/* Construct the matrix. */ |
63
|
0
|
|
|
|
|
|
eraCr(rbpn, r); |
64
|
0
|
|
|
|
|
|
eraRz(gst, r); |
65
|
0
|
|
|
|
|
|
eraRxr(rpom, r, rc2t); |
66
|
|
|
|
|
|
|
|
67
|
0
|
|
|
|
|
|
return; |
68
|
|
|
|
|
|
|
|
69
|
|
|
|
|
|
|
} |
70
|
|
|
|
|
|
|
/*---------------------------------------------------------------------- |
71
|
|
|
|
|
|
|
** |
72
|
|
|
|
|
|
|
** |
73
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
74
|
|
|
|
|
|
|
** All rights reserved. |
75
|
|
|
|
|
|
|
** |
76
|
|
|
|
|
|
|
** This library is derived, with permission, from the International |
77
|
|
|
|
|
|
|
** Astronomical Union's "Standards of Fundamental Astronomy" library, |
78
|
|
|
|
|
|
|
** available from http://www.iausofa.org. |
79
|
|
|
|
|
|
|
** |
80
|
|
|
|
|
|
|
** The ERFA version is intended to retain identical functionality to |
81
|
|
|
|
|
|
|
** the SOFA library, but made distinct through different function and |
82
|
|
|
|
|
|
|
** file names, as set out in the SOFA license conditions. The SOFA |
83
|
|
|
|
|
|
|
** original has a role as a reference standard for the IAU and IERS, |
84
|
|
|
|
|
|
|
** and consequently redistribution is permitted only in its unaltered |
85
|
|
|
|
|
|
|
** state. The ERFA version is not subject to this restriction and |
86
|
|
|
|
|
|
|
** therefore can be included in distributions which do not support the |
87
|
|
|
|
|
|
|
** concept of "read only" software. |
88
|
|
|
|
|
|
|
** |
89
|
|
|
|
|
|
|
** Although the intent is to replicate the SOFA API (other than |
90
|
|
|
|
|
|
|
** replacement of prefix names) and results (with the exception of |
91
|
|
|
|
|
|
|
** bugs; any that are discovered will be fixed), SOFA is not |
92
|
|
|
|
|
|
|
** responsible for any errors found in this version of the library. |
93
|
|
|
|
|
|
|
** |
94
|
|
|
|
|
|
|
** If you wish to acknowledge the SOFA heritage, please acknowledge |
95
|
|
|
|
|
|
|
** that you are using a library derived from SOFA, rather than SOFA |
96
|
|
|
|
|
|
|
** itself. |
97
|
|
|
|
|
|
|
** |
98
|
|
|
|
|
|
|
** |
99
|
|
|
|
|
|
|
** TERMS AND CONDITIONS |
100
|
|
|
|
|
|
|
** |
101
|
|
|
|
|
|
|
** Redistribution and use in source and binary forms, with or without |
102
|
|
|
|
|
|
|
** modification, are permitted provided that the following conditions |
103
|
|
|
|
|
|
|
** are met: |
104
|
|
|
|
|
|
|
** |
105
|
|
|
|
|
|
|
** 1 Redistributions of source code must retain the above copyright |
106
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer. |
107
|
|
|
|
|
|
|
** |
108
|
|
|
|
|
|
|
** 2 Redistributions in binary form must reproduce the above copyright |
109
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer in |
110
|
|
|
|
|
|
|
** the documentation and/or other materials provided with the |
111
|
|
|
|
|
|
|
** distribution. |
112
|
|
|
|
|
|
|
** |
113
|
|
|
|
|
|
|
** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
114
|
|
|
|
|
|
|
** the International Astronomical Union nor the names of its |
115
|
|
|
|
|
|
|
** contributors may be used to endorse or promote products derived |
116
|
|
|
|
|
|
|
** from this software without specific prior written permission. |
117
|
|
|
|
|
|
|
** |
118
|
|
|
|
|
|
|
** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
119
|
|
|
|
|
|
|
** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
120
|
|
|
|
|
|
|
** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
121
|
|
|
|
|
|
|
** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
122
|
|
|
|
|
|
|
** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
123
|
|
|
|
|
|
|
** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
124
|
|
|
|
|
|
|
** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
125
|
|
|
|
|
|
|
** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
126
|
|
|
|
|
|
|
** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
127
|
|
|
|
|
|
|
** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
128
|
|
|
|
|
|
|
** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
129
|
|
|
|
|
|
|
** POSSIBILITY OF SUCH DAMAGE. |
130
|
|
|
|
|
|
|
** |
131
|
|
|
|
|
|
|
*/ |