esbat 0.1.0

Functions for lunar phase calculations
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221

// Copyright (c) 2018 Edward M. Reingold and Nachum Dershowitz
// Copyright (c) 2020 iliana destroyer of worlds <iliana@buttslol.net>
// SPDX-License-Identifier: CC-BY-NC-4.0
//
// This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International
// License. To view a copy of this license, visit https://creativecommons.org/licenses/by-nc/4.0/
// or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.
//
// Tables from:
//
//    E. M. Reingold and N. Dershowitz, Calendrical Calculations: The Ultimate Edition.
//        Cambridge University Press, 2018. doi:10.1017/9781107415058

#![allow(clippy::unreadable_literal)]

// Table 14.1, "Values of the arguments `$\tilde{x}$`, `$\tilde{y}$`, and `$\tilde{z}$` in
// `solar-longitude`"
pub(crate) const SOLAR_LONGITUDE_TABLE: [(f64, f64, f64); 49] = [
    (403406.0, 270.54861, 0.9287892),
    (195207.0, 340.19128, 35999.1376958),
    (119433.0, 63.91854, 35999.4089666),
    (112392.0, 331.2622, 35998.7287385),
    (3891.0, 317.843, 71998.20261),
    (2819.0, 86.631, 71998.4403),
    (1721.0, 240.052, 36000.35726),
    (660.0, 310.26, 71997.4812),
    (350.0, 247.23, 32964.4678),
    (334.0, 260.87, -19.441),
    (314.0, 297.82, 445267.1117),
    (268.0, 343.14, 45036.884),
    (242.0, 166.79, 3.1008),
    (234.0, 81.53, 22518.4434),
    (158.0, 3.5, -19.9739),
    (132.0, 132.75, 65928.9345),
    (129.0, 182.95, 9038.0293),
    (114.0, 162.03, 3034.7684),
    (99.0, 29.8, 33718.148),
    (93.0, 266.4, 3034.448),
    (86.0, 249.2, -2280.773),
    (78.0, 157.6, 29929.992),
    (72.0, 257.8, 31556.493),
    (68.0, 185.1, 149.588),
    (64.0, 69.9, 9037.75),
    (46.0, 8.0, 107997.405),
    (38.0, 197.1, -4444.176),
    (37.0, 250.4, 151.771),
    (32.0, 65.3, 67555.316),
    (29.0, 162.7, 31556.08),
    (28.0, 341.5, -4561.54),
    (27.0, 291.6, 107996.706),
    (27.0, 98.5, 1221.655),
    (25.0, 146.7, 62894.167),
    (24.0, 110.0, 31437.369),
    (21.0, 5.2, 14578.298),
    (21.0, 342.6, -31931.757),
    (20.0, 230.9, 34777.243),
    (18.0, 256.1, 1221.999),
    (17.0, 45.3, 62894.511),
    (14.0, 242.9, -4442.039),
    (13.0, 115.2, 107997.909),
    (13.0, 151.8, 119.066),
    (13.0, 285.3, 16859.071),
    (12.0, 53.3, -4.578),
    (10.0, 126.6, 26895.292),
    (10.0, 205.7, -39.127),
    (10.0, 85.9, 12297.536),
    (10.0, 146.1, 90073.778),
];

// Table 14.3, "Values of the arguments `$\tilde{v}$`, `$\tilde{w}$`, `$\tilde{x}$`, `$\tilde{y}$`,
// and `$\tilde{z}$` in `nth-new-moon`"
pub(crate) const NTH_NEW_MOON_CORRECTION_TABLE: [(f64, i32, f64, f64, f64); 24] = [
    (-0.4072, 0, 0.0, 1.0, 0.0),
    (0.17241, 1, 1.0, 0.0, 0.0),
    (0.01608, 0, 0.0, 2.0, 0.0),
    (0.01039, 0, 0.0, 0.0, 2.0),
    (0.00739, 1, -1.0, 1.0, 0.0),
    (-0.00514, 1, 1.0, 1.0, 0.0),
    (0.00208, 2, 2.0, 0.0, 0.0),
    (-0.00111, 0, 0.0, 1.0, -2.0),
    (-0.00057, 0, 0.0, 1.0, 2.0),
    (0.00056, 1, 1.0, 2.0, 0.0),
    (-0.00042, 0, 0.0, 3.0, 0.0),
    (0.00042, 1, 1.0, 0.0, 2.0),
    (0.00038, 1, 1.0, 0.0, -2.0),
    (-0.00024, 1, -1.0, 2.0, 0.0),
    (-0.00007, 0, 2.0, 1.0, 0.0),
    (0.00004, 0, 0.0, 2.0, -2.0),
    (0.00004, 0, 3.0, 0.0, 0.0),
    (0.00003, 0, 1.0, 1.0, -2.0),
    (0.00003, 0, 0.0, 2.0, 2.0),
    (-0.00003, 0, 1.0, 1.0, 2.0),
    (0.00003, 0, -1.0, 1.0, 2.0),
    (-0.00002, 0, -1.0, 1.0, -2.0),
    (-0.00002, 0, 1.0, 3.0, 0.0),
    (0.00002, 0, 0.0, 4.0, 0.0),
];

// Table 14.4, "Values of the arguments `$\tilde{i}$`, `$\tilde{j}$`, and `$\tilde{l}$`, in
// `nth-new-moon`"
pub(crate) const NTH_NEW_MOON_ADDITIONAL_TABLE: [(f64, f64, f64); 13] = [
    (251.88, 0.016321, 0.000165),
    (251.83, 26.651886, 0.000164),
    (349.42, 36.412478, 0.000126),
    (84.66, 18.206239, 0.00011),
    (141.74, 53.303771, 0.000062),
    (207.14, 2.453732, 0.00006),
    (154.84, 7.30686, 0.000056),
    (34.52, 27.261239, 0.000047),
    (207.19, 0.121824, 0.000042),
    (291.34, 1.844379, 0.00004),
    (161.72, 24.198154, 0.000037),
    (239.56, 25.513099, 0.000035),
    (331.55, 3.592518, 0.000023),
];

// Table 14.5, "Values of the arguments `$\tilde{v}$`, `$\tilde{w}$`, `$\tilde{x}$`, `$\vec{y}$`,
// and `$\vec{z}$`, in `lunar-longitude`"
pub(crate) const LUNAR_LONGITUDE_CORRECTION_TABLE: [(f64, f64, i32, f64, f64); 59] = [
    (6288774.0, 0.0, 0, 1.0, 0.0),
    (1274027.0, 2.0, 0, -1.0, 0.0),
    (658314.0, 2.0, 0, 0.0, 0.0),
    (213618.0, 0.0, 0, 2.0, 0.0),
    (-185116.0, 0.0, 1, 0.0, 0.0),
    (-114332.0, 0.0, 0, 0.0, 2.0),
    (58793.0, 2.0, 0, -2.0, 0.0),
    (57066.0, 2.0, -1, -1.0, 0.0),
    (53322.0, 2.0, 0, 1.0, 0.0),
    (45758.0, 2.0, -1, 0.0, 0.0),
    (-40923.0, 0.0, 1, -1.0, 0.0),
    (-34720.0, 1.0, 0, 0.0, 0.0),
    (-30383.0, 0.0, 1, 1.0, 0.0),
    (15327.0, 2.0, 0, 0.0, -2.0),
    (-12528.0, 0.0, 0, 1.0, 2.0),
    (10980.0, 0.0, 0, 1.0, -2.0),
    (10675.0, 4.0, 0, -1.0, 0.0),
    (10034.0, 0.0, 0, 3.0, 0.0),
    (8548.0, 4.0, 0, -2.0, 0.0),
    (-7888.0, 2.0, 1, -1.0, 0.0),
    (-6766.0, 2.0, 1, 0.0, 0.0),
    (-5163.0, 1.0, 0, -1.0, 0.0),
    (4987.0, 1.0, 1, 0.0, 0.0),
    (4036.0, 2.0, -1, 1.0, 0.0),
    (3994.0, 2.0, 0, 2.0, 0.0),
    (3861.0, 4.0, 0, 0.0, 0.0),
    (3665.0, 2.0, 0, -3.0, 0.0),
    (-2689.0, 0.0, 1, -2.0, 0.0),
    (-2602.0, 2.0, 0, -1.0, 2.0),
    (2390.0, 2.0, -1, -2.0, 0.0),
    (-2348.0, 1.0, 0, 1.0, 0.0),
    (2236.0, 2.0, -2, 0.0, 0.0),
    (-2120.0, 0.0, 1, 2.0, 0.0),
    (-2069.0, 0.0, 2, 0.0, 0.0),
    (2048.0, 2.0, -2, -1.0, 0.0),
    (-1773.0, 2.0, 0, 1.0, -2.0),
    (-1595.0, 2.0, 0, 0.0, 2.0),
    (1215.0, 4.0, -1, -1.0, 0.0),
    (-1110.0, 0.0, 0, 2.0, 2.0),
    (-892.0, 3.0, 0, -1.0, 0.0),
    (-810.0, 2.0, 1, 1.0, 0.0),
    (759.0, 4.0, -1, -2.0, 0.0),
    (-713.0, 0.0, 2, -1.0, 0.0),
    (-700.0, 2.0, 2, -1.0, 0.0),
    (691.0, 2.0, 1, -2.0, 0.0),
    (596.0, 2.0, -1, 0.0, -2.0),
    (549.0, 4.0, 0, 1.0, 0.0),
    (537.0, 0.0, 0, 4.0, 0.0),
    (520.0, 4.0, -1, 0.0, 0.0),
    (-487.0, 1.0, 0, -2.0, 0.0),
    (-399.0, 2.0, 1, 0.0, -2.0),
    (-381.0, 0.0, 0, 2.0, -2.0),
    (351.0, 1.0, 1, 1.0, 0.0),
    (-340.0, 3.0, 0, -2.0, 0.0),
    (330.0, 4.0, 0, -3.0, 0.0),
    (327.0, 2.0, -1, 2.0, 0.0),
    (-323.0, 0.0, 2, 1.0, 0.0),
    (299.0, 1.0, 1, -1.0, 0.0),
    (294.0, 2.0, 0, 3.0, 0.0),
];

// Subset of Appendix C: Sample Data
//
// |      |     Gregorian      | Ephemeris  | Solar longitude |   Lunar   | New moon at |
// | R.D. | year | month | day | correction |     at noon     | longitude |  or after   |
#[cfg(test)]
#[allow(clippy::type_complexity)]
pub(crate) const TEST_DATA: [(f64, (i32, u32, u32), f64, f64, f64, f64); 33] = [
    (-214193.0, (-586, 7, 24), 0.214169, 119.473431, 244.853905, -214174.605828),
    (-61387.0, (-168, 12, 5), 0.143632, 254.248961, 208.856738, -61382.995328),
    (25469.0, (70, 9, 24), 0.114444, 181.435996, 213.746842, 25495.809776),
    (49217.0, (135, 10, 2), 0.107183, 188.663922, 292.046243, 49238.502448),
    (171307.0, (470, 1, 8), 0.069498, 289.091566, 156.819014, 171318.435313),
    (210155.0, (576, 5, 20), 0.057506, 59.119741, 108.055632, 210180.691849),
    (253427.0, (694, 11, 10), 0.044758, 228.314554, 39.356097, 253442.859367),
    (369740.0, (1013, 4, 25), 0.017397, 34.460769, 98.565851, 369763.746413),
    (400085.0, (1096, 5, 24), 0.012796, 63.187995, 332.958296, 400091.578343),
    (434355.0, (1190, 3, 23), 0.008869, 2.457591, 92.259651, 434376.578106),
    (452605.0, (1240, 3, 10), 0.007262, 350.475934, 78.132029, 452627.191972),
    (470160.0, (1288, 4, 2), 0.005979, 13.49822, 274.946995, 470167.57836),
    (473837.0, (1298, 4, 27), 0.00574, 37.40392, 128.362844, 473858.853276),
    (507850.0, (1391, 6, 12), 0.003875, 81.02813, 89.51845, 507878.666842),
    (524156.0, (1436, 2, 3), 0.003157, 313.860498, 24.607322, 524179.247062),
    (544676.0, (1492, 4, 9), 0.002393, 19.95443, 53.485956, 544702.753873),
    (567118.0, (1553, 9, 19), 0.001731, 176.059431, 187.89852, 567146.513181),
    (569477.0, (1560, 3, 5), 0.001669, 344.922951, 320.172362, 569479.203258),
    (601716.0, (1648, 6, 10), 0.000615, 79.964921, 314.042566, 601727.033557),
    (613424.0, (1680, 6, 30), 0.000177, 99.302317, 145.474065, 613449.762129),
    (626596.0, (1716, 7, 24), 0.000101, 121.535304, 185.030507, 626620.369801),
    (645554.0, (1768, 6, 19), 0.000171, 88.567428, 142.189132, 645579.076748),
    (664224.0, (1819, 8, 2), 0.000136, 129.289884, 253.743375, 664242.886718),
    (671401.0, (1839, 3, 27), 0.000061, 6.14691, 151.648685, 671418.970538),
    (694799.0, (1903, 4, 19), 0.000014, 28.251993, 287.987743, 694807.563371),
    (704424.0, (1929, 8, 25), 0.000276, 151.780633, 25.626707, 704433.491182),
    (708842.0, (1941, 9, 29), 0.000296, 185.945867, 290.2883, 708863.597),
    (709409.0, (1943, 4, 19), 0.000302, 28.555607, 189.913142, 709424.404929),
    (709580.0, (1943, 10, 7), 0.000302, 193.347892, 284.93173, 709602.082686),
    (727274.0, (1992, 3, 17), 0.000675, 357.151254, 152.339044, 727291.2094),
    (728714.0, (1996, 2, 25), 0.000712, 336.170692, 51.662265, 728737.447691),
    (744313.0, (2038, 11, 10), 0.000963, 228.184879, 26.68206, 744329.573999),
    (764652.0, (2094, 7, 18), 0.002913, 116.439352, 175.500822, 764676.191273),
];