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
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
|
# date2.rb: Written by Tadayoshi Funaba 1998-2000
# $Id: date2.rb,v 1.18 2000/03/20 16:23:32 tadf Exp $
class Date
include Comparable
IDENT = 2
MONTHNAMES = [ nil, 'January', 'February', 'March',
'April', 'May', 'June', 'July', 'August',
'September', 'October', 'November', 'December' ]
DAYNAMES = [ 'Sunday', 'Monday', 'Tuesday',
'Wednesday', 'Thursday', 'Friday', 'Saturday' ]
ITALY = 2299161 # 1582-10-15
ENGLAND = 2361222 # 1752-09-14
JULIAN = false
GREGORIAN = true
class << self
def os? (jd, sg)
case sg
when Numeric; jd < sg
else; not sg
end
end
def ns? (jd, sg) not os?(jd, sg) end
def civil_to_jd(y, m, d, sg=GREGORIAN)
if m <= 2
y -= 1
m += 12
end
a = (y / 100.0).floor
b = 2 - a + (a / 4.0).floor
jd = (365.25 * (y + 4716)).floor +
(30.6001 * (m + 1)).floor +
d + b - 1524
if os?(jd, sg)
jd -= b
end
jd
end
def jd_to_civil(jd, sg=GREGORIAN)
if os?(jd, sg)
a = jd
else
x = ((jd - 1867216.25) / 36524.25).floor
a = jd + 1 + x - (x / 4.0).floor
end
b = a + 1524
c = ((b - 122.1) / 365.25).floor
d = (365.25 * c).floor
e = ((b - d) / 30.6001).floor
dom = b - d - (30.6001 * e).floor
if e <= 13
m = e - 1
y = c - 4716
else
m = e - 13
y = c - 4715
end
return y, m, dom
end
def ordinal_to_jd(y, d, sg=GREGORIAN)
civil_to_jd(y, 1, d, sg)
end
def jd_to_ordinal(jd, sg=GREGORIAN)
y = jd_to_civil(jd, sg)[0]
doy = jd - civil_to_jd(y - 1, 12, 31, ns?(jd, sg))
return y, doy
end
def jd_to_commercial(jd, sg=GREGORIAN)
ns = ns?(jd, sg)
a = jd_to_civil(jd - 3, ns)[0]
y = if jd >= commercial_to_jd(a + 1, 1, 1, ns) then a + 1 else a end
w = 1 + (jd - commercial_to_jd(y, 1, 1, ns)) / 7
d = (jd + 1) % 7
if d.zero? then d = 7 end
return y, w, d
end
def commercial_to_jd(y, w, d, ns=GREGORIAN)
jd = civil_to_jd(y, 1, 4, ns)
(jd - (((jd - 1) + 1) % 7)) +
7 * (w - 1) +
(d - 1)
end
def clfloor(x, y=1)
q = (x / y).to_i
z = (q * y)
q -= 1 if (y > 0 and x < z) or (y < 0 and x > z)
r = x - q * y
return q, r
end
def rjd_to_jd(rjd) clfloor(rjd + 0.5) end
def jd_to_rjd(jd, fr) jd + fr - 0.5 end
def mjd_to_jd(mjd) mjd + 2400000.5 end
def jd_to_mjd(jd) jd - 2400000.5 end
def tjd_to_jd(tjd) tjd + 2440000.5 end
def jd_to_tjd(jd) jd - 2440000.5 end
def tjd2_to_jd(cycle, tjd) tjd_to_jd(cycle * 10000 + tjd) end
def jd_to_tjd2(jd) clfloor(jd_to_tjd(jd), 10000) end
def ld_to_jd(ld) ld + 2299160 end
def jd_to_ld(jd) jd - 2299160 end
def julian_leap? (y) y % 4 == 0 end
def gregorian_leap? (y) y % 4 == 0 and y % 100 != 0 or y % 400 == 0 end
alias_method :leap?, :gregorian_leap?
def new1(jd=0, sg=ITALY) new(jd, sg) end
def exist3? (y, m, d, sg=ITALY)
if m < 0
m += 13
end
if d < 0
ny, nm = Date.clfloor(y * 12 + m, 12)
nm, = Date.clfloor(m + 1, 1)
la = nil
31.downto 1 do |z|
break if la = exist3?(y, m, z, sg)
end
ns = ns?(la, sg)
d = jd_to_civil(civil_to_jd(ny, nm, 1, ns) + d, ns)[-1]
end
jd = civil_to_jd(y, m, d, sg)
return unless [y, m, d] == jd_to_civil(jd, sg)
jd
end
alias_method :exist?, :exist3?
def new3(y=-4712, m=1, d=1, sg=ITALY)
unless jd = exist3?(y, m, d, sg)
fail ArgumentError, 'invalid date'
end
new(jd, sg)
end
def exist2? (y, d, sg=ITALY)
if d < 0
ny = y + 1
la = nil
366.downto 1 do |z|
break if la = exist2?(y, z, sg)
end
ns = ns?(la, sg)
d = jd_to_ordinal(ordinal_to_jd(ny, 1, ns) + d, ns)[-1]
end
jd = ordinal_to_jd(y, d, sg)
return unless [y, d] == jd_to_ordinal(jd, sg)
jd
end
def new2(y=-4712, d=1, sg=ITALY)
unless jd = exist2?(y, d, sg)
fail ArgumentError, 'invalid date'
end
new(jd, sg)
end
def existw? (y, w, d, sg=ITALY)
if d < 0
d += 8
end
if w < 0
w = jd_to_commercial(commercial_to_jd(y + 1, 1, 1) + w * 7)[1]
end
jd = commercial_to_jd(y, w, d)
return unless ns?(jd, sg)
return unless [y, w, d] == jd_to_commercial(jd)
jd
end
def neww(y=1582, w=41, d=5, sg=ITALY)
unless jd = existw?(y, w, d, sg)
fail ArgumentError, 'invalid date'
end
new(jd, sg)
end
def today(sg=ITALY)
new(civil_to_jd(*(Time.now.to_a[3..5].reverse << sg)), sg)
end
def once(*ids)
for id in ids
module_eval <<-"end;"
alias_method :__#{id.to_i}__, #{id.inspect}
def #{id.id2name}(*args, &block)
def self.#{id.id2name}(*args, &block); @__#{id.to_i}__ end
@__#{id.to_i}__ = __#{id.to_i}__(*args, &block)
end
end;
end
end
private :once
end
def initialize(rjd=0, sg=ITALY) @rjd, @sg = rjd, sg end
def rjd() @rjd end
def rmjd() Date.jd_to_mjd(@rjd) end
def rtjd() Date.jd_to_tjd(@rjd) end
def rtjd2() Date.jd_to_tjd2(@rjd) end
once :rmjd, :rtjd, :rtjd2
def jd() Date.rjd_to_jd(@rjd)[0] end
def fr1() Date.rjd_to_jd(@rjd)[1] end
def mjd() Date.jd_to_mjd(jd) end
def tjd() Date.jd_to_tjd(jd) end
def tjd2() Date.jd_to_tjd2(jd) end
def ld() Date.jd_to_ld(jd) end
once :jd, :fr1, :mjd, :tjd, :tjd2, :ld
def civil() Date.jd_to_civil(jd, @sg) end
def ordinal() Date.jd_to_ordinal(jd, @sg) end
def commercial() Date.jd_to_commercial(jd, @sg) end
once :civil, :ordinal, :commercial
def year() civil[0] end
def yday() ordinal[1] end
def mon() civil[1] end
alias_method :month, :mon
once :year, :yday, :mon, :month
def mday() civil[2] end
alias_method :day, :mday
once :mday, :day
def cwyear() commercial[0] end
def cweek() commercial[1] end
def cwday() commercial[2] end
once :cwyear, :cweek, :cwday
def wday() (jd + 1) % 7 end
once :wday
def os? () Date.os?(jd, @sg) end
def ns? () Date.ns?(jd, @sg) end
once :os?, :ns?
def leap?
Date.jd_to_civil(Date.civil_to_jd(year, 3, 1, ns?) - 1,
ns?)[-1] == 29
end
once :leap?
def sg() @sg end
def newsg(sg=Date::ITALY) Date.new(@rjd, sg) end
def italy() newsg(Date::ITALY) end
def england() newsg(Date::ENGLAND) end
def julian() newsg(Date::JULIAN) end
def gregorian() newsg(Date::GREGORIAN) end
def + (n)
case n
when Numeric; return Date.new(@rjd + n, @sg)
end
fail TypeError, 'expected numeric'
end
def - (x)
case x
when Numeric; return Date.new(@rjd - x, @sg)
when Date; return @rjd - x.rjd
end
fail TypeError, 'expected numeric or date'
end
def <=> (other)
case other
when Numeric; return @rjd <=> other
when Date; return @rjd <=> other.rjd
end
fail TypeError, 'expected numeric or date'
end
def === (other)
case other
when Numeric; return jd == other
when Date; return jd == other.jd
end
fail TypeError, 'expected numeric or date'
end
def >> (n)
y, m = Date.clfloor(year * 12 + (mon - 1) + n, 12)
m, = Date.clfloor(m + 1, 1)
d = mday
d -= 1 until jd2 = Date.exist3?(y, m, d, ns?)
self + (jd2 - jd)
end
def << (n) self >> -n end
def step(limit, step)
rjd = @rjd
if (step > 0)
while rjd <= limit.rjd
yield Date.new(rjd, @sg)
rjd += step
end
else
while rjd >= limit.rjd
yield Date.new(rjd, @sg)
rjd += step
end
end
self
end
def upto(max, &block) step(max, +1, &block) end
def downto(min, &block) step(min, -1, &block) end
def succ() self + 1 end
alias_method :next, :succ
def eql? (other) Date === other and self == other end
def hash() Date.clfloor(@rjd)[0] end
def inspect() format('#<Date: %s,%s>', @rjd, @sg) end
def to_s() format('%.4d-%02d-%02d', year, mon, mday) end
def _dump(limit) Marshal.dump([@rjd, @sg], -1) end
def Date._load(str) Date.new(*Marshal.load(str)) end
end
|