| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
#include "erfa.h" |
|
2
|
|
|
|
|
|
|
#include |
|
3
|
|
|
|
|
|
|
|
|
4
|
5
|
|
|
|
|
|
int eraJd2cal(double dj1, double dj2, |
|
5
|
|
|
|
|
|
|
int *iy, int *im, int *id, double *fd) |
|
6
|
|
|
|
|
|
|
/* |
|
7
|
|
|
|
|
|
|
** - - - - - - - - - - |
|
8
|
|
|
|
|
|
|
** e r a J d 2 c a l |
|
9
|
|
|
|
|
|
|
** - - - - - - - - - - |
|
10
|
|
|
|
|
|
|
** |
|
11
|
|
|
|
|
|
|
** Julian Date to Gregorian year, month, day, and fraction of a day. |
|
12
|
|
|
|
|
|
|
** |
|
13
|
|
|
|
|
|
|
** Given: |
|
14
|
|
|
|
|
|
|
** dj1,dj2 double Julian Date (Notes 1, 2) |
|
15
|
|
|
|
|
|
|
** |
|
16
|
|
|
|
|
|
|
** Returned (arguments): |
|
17
|
|
|
|
|
|
|
** iy int year |
|
18
|
|
|
|
|
|
|
** im int month |
|
19
|
|
|
|
|
|
|
** id int day |
|
20
|
|
|
|
|
|
|
** fd double fraction of day |
|
21
|
|
|
|
|
|
|
** |
|
22
|
|
|
|
|
|
|
** Returned (function value): |
|
23
|
|
|
|
|
|
|
** int status: |
|
24
|
|
|
|
|
|
|
** 0 = OK |
|
25
|
|
|
|
|
|
|
** -1 = unacceptable date (Note 1) |
|
26
|
|
|
|
|
|
|
** |
|
27
|
|
|
|
|
|
|
** Notes: |
|
28
|
|
|
|
|
|
|
** |
|
29
|
|
|
|
|
|
|
** 1) The earliest valid date is -68569.5 (-4900 March 1). The |
|
30
|
|
|
|
|
|
|
** largest value accepted is 1e9. |
|
31
|
|
|
|
|
|
|
** |
|
32
|
|
|
|
|
|
|
** 2) The Julian Date is apportioned in any convenient way between |
|
33
|
|
|
|
|
|
|
** the arguments dj1 and dj2. For example, JD=2450123.7 could |
|
34
|
|
|
|
|
|
|
** be expressed in any of these ways, among others: |
|
35
|
|
|
|
|
|
|
** |
|
36
|
|
|
|
|
|
|
** dj1 dj2 |
|
37
|
|
|
|
|
|
|
** |
|
38
|
|
|
|
|
|
|
** 2450123.7 0.0 (JD method) |
|
39
|
|
|
|
|
|
|
** 2451545.0 -1421.3 (J2000 method) |
|
40
|
|
|
|
|
|
|
** 2400000.5 50123.2 (MJD method) |
|
41
|
|
|
|
|
|
|
** 2450123.5 0.2 (date & time method) |
|
42
|
|
|
|
|
|
|
** |
|
43
|
|
|
|
|
|
|
** Separating integer and fraction uses the "compensated summation" |
|
44
|
|
|
|
|
|
|
** algorithm of Kahan-Neumaier to preserve as much precision as |
|
45
|
|
|
|
|
|
|
** possible irrespective of the jd1+jd2 apportionment. |
|
46
|
|
|
|
|
|
|
** |
|
47
|
|
|
|
|
|
|
** 3) In early eras the conversion is from the "proleptic Gregorian |
|
48
|
|
|
|
|
|
|
** calendar"; no account is taken of the date(s) of adoption of |
|
49
|
|
|
|
|
|
|
** the Gregorian calendar, nor is the AD/BC numbering convention |
|
50
|
|
|
|
|
|
|
** observed. |
|
51
|
|
|
|
|
|
|
** |
|
52
|
|
|
|
|
|
|
** References: |
|
53
|
|
|
|
|
|
|
** |
|
54
|
|
|
|
|
|
|
** Explanatory Supplement to the Astronomical Almanac, |
|
55
|
|
|
|
|
|
|
** P. Kenneth Seidelmann (ed), University Science Books (1992), |
|
56
|
|
|
|
|
|
|
** Section 12.92 (p604). |
|
57
|
|
|
|
|
|
|
** |
|
58
|
|
|
|
|
|
|
** Klein, A., A Generalized Kahan-Babuska-Summation-Algorithm. |
|
59
|
|
|
|
|
|
|
** Computing 76, 279-293 (2006), Section 3. |
|
60
|
|
|
|
|
|
|
** |
|
61
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
|
62
|
|
|
|
|
|
|
** Derived, with permission, from the SOFA library. See notes at end of file. |
|
63
|
|
|
|
|
|
|
*/ |
|
64
|
|
|
|
|
|
|
{ |
|
65
|
|
|
|
|
|
|
/* Minimum and maximum allowed JD */ |
|
66
|
|
|
|
|
|
|
const double DJMIN = -68569.5; |
|
67
|
|
|
|
|
|
|
const double DJMAX = 1e9; |
|
68
|
|
|
|
|
|
|
|
|
69
|
|
|
|
|
|
|
long jd, i, l, n, k; |
|
70
|
|
|
|
|
|
|
double dj, f1, f2, d, s, cs, v[2], x, t, f; |
|
71
|
|
|
|
|
|
|
|
|
72
|
|
|
|
|
|
|
|
|
73
|
|
|
|
|
|
|
/* Verify date is acceptable. */ |
|
74
|
5
|
|
|
|
|
|
dj = dj1 + dj2; |
|
75
|
5
|
50
|
|
|
|
|
if (dj < DJMIN || dj > DJMAX) return -1; |
|
|
|
50
|
|
|
|
|
|
|
76
|
|
|
|
|
|
|
|
|
77
|
|
|
|
|
|
|
/* Separate day and fraction (where -0.5 <= fraction < 0.5). */ |
|
78
|
5
|
50
|
|
|
|
|
d = ERFA_DNINT(dj1); |
|
|
|
50
|
|
|
|
|
|
|
79
|
5
|
|
|
|
|
|
f1 = dj1 - d; |
|
80
|
5
|
|
|
|
|
|
jd = (long) d; |
|
81
|
5
|
50
|
|
|
|
|
d = ERFA_DNINT(dj2); |
|
|
|
50
|
|
|
|
|
|
|
82
|
5
|
|
|
|
|
|
f2 = dj2 - d; |
|
83
|
5
|
|
|
|
|
|
jd += (long) d; |
|
84
|
|
|
|
|
|
|
|
|
85
|
|
|
|
|
|
|
/* Compute f1+f2+0.5 using compensated summation (Klein 2006). */ |
|
86
|
|
|
|
|
|
|
s = 0.5; |
|
87
|
|
|
|
|
|
|
cs = 0.0; |
|
88
|
5
|
|
|
|
|
|
v[0] = f1; |
|
89
|
5
|
|
|
|
|
|
v[1] = f2; |
|
90
|
15
|
100
|
|
|
|
|
for ( i = 0; i < 2; i++ ) { |
|
91
|
10
|
|
|
|
|
|
x = v[i]; |
|
92
|
10
|
|
|
|
|
|
t = s + x; |
|
93
|
10
|
100
|
|
|
|
|
cs += fabs(s) >= fabs(x) ? (s-t) + x : (x-t) + s; |
|
94
|
|
|
|
|
|
|
s = t; |
|
95
|
10
|
50
|
|
|
|
|
if ( s >= 1.0 ) { |
|
96
|
0
|
|
|
|
|
|
jd++; |
|
97
|
0
|
|
|
|
|
|
s -= 1.0; |
|
98
|
|
|
|
|
|
|
} |
|
99
|
|
|
|
|
|
|
} |
|
100
|
5
|
|
|
|
|
|
f = s + cs; |
|
101
|
5
|
|
|
|
|
|
cs = f - s; |
|
102
|
|
|
|
|
|
|
|
|
103
|
|
|
|
|
|
|
/* Deal with negative f. */ |
|
104
|
5
|
100
|
|
|
|
|
if ( f < 0.0 ) { |
|
105
|
|
|
|
|
|
|
|
|
106
|
|
|
|
|
|
|
/* Compensated summation: assume that |s| <= 1.0. */ |
|
107
|
4
|
|
|
|
|
|
f = s + 1.0; |
|
108
|
4
|
|
|
|
|
|
cs += (1.0-f) + s; |
|
109
|
|
|
|
|
|
|
s = f; |
|
110
|
4
|
|
|
|
|
|
f = s + cs; |
|
111
|
4
|
|
|
|
|
|
cs = f - s; |
|
112
|
4
|
|
|
|
|
|
jd--; |
|
113
|
|
|
|
|
|
|
} |
|
114
|
|
|
|
|
|
|
|
|
115
|
|
|
|
|
|
|
/* Deal with f that is 1.0 or more (when rounded to double). */ |
|
116
|
5
|
50
|
|
|
|
|
if ( (f-1.0) >= -DBL_EPSILON/4.0 ) { |
|
117
|
|
|
|
|
|
|
|
|
118
|
|
|
|
|
|
|
/* Compensated summation: assume that |s| <= 1.0. */ |
|
119
|
0
|
|
|
|
|
|
t = s - 1.0; |
|
120
|
0
|
|
|
|
|
|
cs += (s-t) - 1.0; |
|
121
|
|
|
|
|
|
|
s = t; |
|
122
|
0
|
|
|
|
|
|
f = s + cs; |
|
123
|
0
|
0
|
|
|
|
|
if ( -DBL_EPSILON/2.0 < f ) { |
|
124
|
0
|
|
|
|
|
|
jd++; |
|
125
|
0
|
0
|
|
|
|
|
f = ERFA_GMAX(f, 0.0); |
|
126
|
|
|
|
|
|
|
} |
|
127
|
|
|
|
|
|
|
} |
|
128
|
|
|
|
|
|
|
|
|
129
|
|
|
|
|
|
|
/* Express day in Gregorian calendar. */ |
|
130
|
5
|
|
|
|
|
|
l = jd + 68569L; |
|
131
|
5
|
|
|
|
|
|
n = (4L * l) / 146097L; |
|
132
|
5
|
|
|
|
|
|
l -= (146097L * n + 3L) / 4L; |
|
133
|
5
|
|
|
|
|
|
i = (4000L * (l + 1L)) / 1461001L; |
|
134
|
5
|
|
|
|
|
|
l -= (1461L * i) / 4L - 31L; |
|
135
|
5
|
|
|
|
|
|
k = (80L * l) / 2447L; |
|
136
|
5
|
|
|
|
|
|
*id = (int) (l - (2447L * k) / 80L); |
|
137
|
5
|
|
|
|
|
|
l = k / 11L; |
|
138
|
5
|
|
|
|
|
|
*im = (int) (k + 2L - 12L * l); |
|
139
|
5
|
|
|
|
|
|
*iy = (int) (100L * (n - 49L) + i + l); |
|
140
|
5
|
|
|
|
|
|
*fd = f; |
|
141
|
|
|
|
|
|
|
|
|
142
|
5
|
|
|
|
|
|
return 0; |
|
143
|
|
|
|
|
|
|
|
|
144
|
|
|
|
|
|
|
} |
|
145
|
|
|
|
|
|
|
/*---------------------------------------------------------------------- |
|
146
|
|
|
|
|
|
|
** |
|
147
|
|
|
|
|
|
|
** |
|
148
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
|
149
|
|
|
|
|
|
|
** All rights reserved. |
|
150
|
|
|
|
|
|
|
** |
|
151
|
|
|
|
|
|
|
** This library is derived, with permission, from the International |
|
152
|
|
|
|
|
|
|
** Astronomical Union's "Standards of Fundamental Astronomy" library, |
|
153
|
|
|
|
|
|
|
** available from http://www.iausofa.org. |
|
154
|
|
|
|
|
|
|
** |
|
155
|
|
|
|
|
|
|
** The ERFA version is intended to retain identical functionality to |
|
156
|
|
|
|
|
|
|
** the SOFA library, but made distinct through different function and |
|
157
|
|
|
|
|
|
|
** file names, as set out in the SOFA license conditions. The SOFA |
|
158
|
|
|
|
|
|
|
** original has a role as a reference standard for the IAU and IERS, |
|
159
|
|
|
|
|
|
|
** and consequently redistribution is permitted only in its unaltered |
|
160
|
|
|
|
|
|
|
** state. The ERFA version is not subject to this restriction and |
|
161
|
|
|
|
|
|
|
** therefore can be included in distributions which do not support the |
|
162
|
|
|
|
|
|
|
** concept of "read only" software. |
|
163
|
|
|
|
|
|
|
** |
|
164
|
|
|
|
|
|
|
** Although the intent is to replicate the SOFA API (other than |
|
165
|
|
|
|
|
|
|
** replacement of prefix names) and results (with the exception of |
|
166
|
|
|
|
|
|
|
** bugs; any that are discovered will be fixed), SOFA is not |
|
167
|
|
|
|
|
|
|
** responsible for any errors found in this version of the library. |
|
168
|
|
|
|
|
|
|
** |
|
169
|
|
|
|
|
|
|
** If you wish to acknowledge the SOFA heritage, please acknowledge |
|
170
|
|
|
|
|
|
|
** that you are using a library derived from SOFA, rather than SOFA |
|
171
|
|
|
|
|
|
|
** itself. |
|
172
|
|
|
|
|
|
|
** |
|
173
|
|
|
|
|
|
|
** |
|
174
|
|
|
|
|
|
|
** TERMS AND CONDITIONS |
|
175
|
|
|
|
|
|
|
** |
|
176
|
|
|
|
|
|
|
** Redistribution and use in source and binary forms, with or without |
|
177
|
|
|
|
|
|
|
** modification, are permitted provided that the following conditions |
|
178
|
|
|
|
|
|
|
** are met: |
|
179
|
|
|
|
|
|
|
** |
|
180
|
|
|
|
|
|
|
** 1 Redistributions of source code must retain the above copyright |
|
181
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer. |
|
182
|
|
|
|
|
|
|
** |
|
183
|
|
|
|
|
|
|
** 2 Redistributions in binary form must reproduce the above copyright |
|
184
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer in |
|
185
|
|
|
|
|
|
|
** the documentation and/or other materials provided with the |
|
186
|
|
|
|
|
|
|
** distribution. |
|
187
|
|
|
|
|
|
|
** |
|
188
|
|
|
|
|
|
|
** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
|
189
|
|
|
|
|
|
|
** the International Astronomical Union nor the names of its |
|
190
|
|
|
|
|
|
|
** contributors may be used to endorse or promote products derived |
|
191
|
|
|
|
|
|
|
** from this software without specific prior written permission. |
|
192
|
|
|
|
|
|
|
** |
|
193
|
|
|
|
|
|
|
** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
|
194
|
|
|
|
|
|
|
** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
|
195
|
|
|
|
|
|
|
** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
|
196
|
|
|
|
|
|
|
** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
|
197
|
|
|
|
|
|
|
** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
|
198
|
|
|
|
|
|
|
** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
|
199
|
|
|
|
|
|
|
** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
|
200
|
|
|
|
|
|
|
** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
|
201
|
|
|
|
|
|
|
** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
|
202
|
|
|
|
|
|
|
** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
|
203
|
|
|
|
|
|
|
** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
|
204
|
|
|
|
|
|
|
** POSSIBILITY OF SUCH DAMAGE. |
|
205
|
|
|
|
|
|
|
** |
|
206
|
|
|
|
|
|
|
*/ |