Theory revision 1.22 1 1.18 christos Theory and pragmatics of the tz code and data
2 1.18 christos
3 1.2 perry
4 1.2 perry ----- Outline -----
5 1.2 perry
6 1.10 christos Scope of the tz database
7 1.18 christos Names of time zone rules
8 1.2 perry Time zone abbreviations
9 1.18 christos Accuracy of the tz database
10 1.18 christos Time and date functions
11 1.4 kleink Calendrical issues
12 1.8 kleink Time and time zones on Mars
13 1.2 perry
14 1.2 perry
15 1.18 christos ----- Scope of the tz database -----
16 1.18 christos
17 1.18 christos The tz database attempts to record the history and predicted future of
18 1.18 christos all computer-based clocks that track civil time. To represent this
19 1.18 christos data, the world is partitioned into regions whose clocks all agree
20 1.18 christos about time stamps that occur after the somewhat-arbitrary cutoff point
21 1.18 christos of the POSIX Epoch (1970-01-01 00:00:00 UTC). For each such region,
22 1.18 christos the database records all known clock transitions, and labels the region
23 1.18 christos with a notable location. Although 1970 is a somewhat-arbitrary
24 1.18 christos cutoff, there are significant challenges to moving the cutoff earlier
25 1.18 christos even by a decade or two, due to the wide variety of local practices
26 1.18 christos before computer timekeeping became prevalent.
27 1.18 christos
28 1.18 christos Clock transitions before 1970 are recorded for each such location,
29 1.18 christos because most systems support time stamps before 1970 and could
30 1.18 christos misbehave if data entries were omitted for pre-1970 transitions.
31 1.18 christos However, the database is not designed for and does not suffice for
32 1.18 christos applications requiring accurate handling of all past times everywhere,
33 1.18 christos as it would take far too much effort and guesswork to record all
34 1.18 christos details of pre-1970 civil timekeeping.
35 1.18 christos
36 1.18 christos As described below, reference source code for using the tz database is
37 1.18 christos also available. The tz code is upwards compatible with POSIX, an
38 1.18 christos international standard for UNIX-like systems. As of this writing, the
39 1.18 christos current edition of POSIX is:
40 1.2 perry
41 1.14 christos The Open Group Base Specifications Issue 7
42 1.14 christos IEEE Std 1003.1, 2013 Edition
43 1.14 christos <http://pubs.opengroup.org/onlinepubs/9699919799/>
44 1.2 perry
45 1.2 perry
46 1.1 jtc
47 1.18 christos ----- Names of time zone rules -----
48 1.2 perry
49 1.18 christos Each of the database's time zone rules has a unique name.
50 1.18 christos Inexperienced users are not expected to select these names unaided.
51 1.18 christos Distributors should provide documentation and/or a simple selection
52 1.18 christos interface that explains the names; for one example, see the 'tzselect'
53 1.18 christos program in the tz code. The Unicode Common Locale Data Repository
54 1.18 christos <http://cldr.unicode.org/> contains data that may be useful for other
55 1.18 christos selection interfaces.
56 1.2 perry
57 1.18 christos The time zone rule naming conventions attempt to strike a balance
58 1.18 christos among the following goals:
59 1.6 kleink
60 1.18 christos * Uniquely identify every region where clocks have agreed since 1970.
61 1.18 christos This is essential for the intended use: static clocks keeping local
62 1.18 christos civil time.
63 1.18 christos
64 1.18 christos * Indicate to experts where that region is.
65 1.18 christos
66 1.18 christos * Be robust in the presence of political changes. For example, names
67 1.18 christos of countries are ordinarily not used, to avoid incompatibilities
68 1.18 christos when countries change their name (e.g. Zaire->Congo) or when
69 1.18 christos locations change countries (e.g. Hong Kong from UK colony to
70 1.18 christos China).
71 1.2 perry
72 1.18 christos * Be portable to a wide variety of implementations.
73 1.9 mlelstv
74 1.18 christos * Use a consistent naming conventions over the entire world.
75 1.9 mlelstv
76 1.18 christos Names normally have the form AREA/LOCATION, where AREA is the name
77 1.18 christos of a continent or ocean, and LOCATION is the name of a specific
78 1.18 christos location within that region. North and South America share the same
79 1.18 christos area, 'America'. Typical names are 'Africa/Cairo', 'America/New_York',
80 1.18 christos and 'Pacific/Honolulu'.
81 1.9 mlelstv
82 1.18 christos Here are the general rules used for choosing location names,
83 1.18 christos in decreasing order of importance:
84 1.9 mlelstv
85 1.18 christos Use only valid POSIX file name components (i.e., the parts of
86 1.18 christos names other than '/'). Do not use the file name
87 1.18 christos components '.' and '..'. Within a file name component,
88 1.18 christos use only ASCII letters, '.', '-' and '_'. Do not use
89 1.18 christos digits, as that might create an ambiguity with POSIX
90 1.18 christos TZ strings. A file name component must not exceed 14
91 1.18 christos characters or start with '-'. E.g., prefer 'Brunei'
92 1.18 christos to 'Bandar_Seri_Begawan'. Exceptions: see the discussion
93 1.18 christos of legacy names below.
94 1.18 christos A name must not be empty, or contain '//', or start or end with '/'.
95 1.18 christos Do not use names that differ only in case. Although the reference
96 1.18 christos implementation is case-sensitive, some other implementations
97 1.18 christos are not, and they would mishandle names differing only in case.
98 1.18 christos If one name A is an initial prefix of another name AB (ignoring case),
99 1.18 christos then B must not start with '/', as a regular file cannot have
100 1.18 christos the same name as a directory in POSIX. For example,
101 1.18 christos 'America/New_York' precludes 'America/New_York/Bronx'.
102 1.18 christos Uninhabited regions like the North Pole and Bouvet Island
103 1.18 christos do not need locations, since local time is not defined there.
104 1.18 christos There should typically be at least one name for each ISO 3166-1
105 1.18 christos officially assigned two-letter code for an inhabited country
106 1.18 christos or territory.
107 1.18 christos If all the clocks in a region have agreed since 1970,
108 1.18 christos don't bother to include more than one location
109 1.18 christos even if subregions' clocks disagreed before 1970.
110 1.18 christos Otherwise these tables would become annoyingly large.
111 1.18 christos If a name is ambiguous, use a less ambiguous alternative;
112 1.18 christos e.g. many cities are named San Jos and Georgetown, so
113 1.18 christos prefer 'Costa_Rica' to 'San_Jose' and 'Guyana' to 'Georgetown'.
114 1.18 christos Keep locations compact. Use cities or small islands, not countries
115 1.18 christos or regions, so that any future time zone changes do not split
116 1.18 christos locations into different time zones. E.g. prefer 'Paris'
117 1.18 christos to 'France', since France has had multiple time zones.
118 1.18 christos Use mainstream English spelling, e.g. prefer 'Rome' to 'Roma', and
119 1.18 christos prefer 'Athens' to the Greek '' or the Romanized 'Athna'.
120 1.18 christos The POSIX file name restrictions encourage this rule.
121 1.18 christos Use the most populous among locations in a zone,
122 1.18 christos e.g. prefer 'Shanghai' to 'Beijing'. Among locations with
123 1.18 christos similar populations, pick the best-known location,
124 1.18 christos e.g. prefer 'Rome' to 'Milan'.
125 1.18 christos Use the singular form, e.g. prefer 'Canary' to 'Canaries'.
126 1.18 christos Omit common suffixes like '_Islands' and '_City', unless that
127 1.18 christos would lead to ambiguity. E.g. prefer 'Cayman' to
128 1.18 christos 'Cayman_Islands' and 'Guatemala' to 'Guatemala_City',
129 1.18 christos but prefer 'Mexico_City' to 'Mexico' because the country
130 1.18 christos of Mexico has several time zones.
131 1.18 christos Use '_' to represent a space.
132 1.18 christos Omit '.' from abbreviations in names, e.g. prefer 'St_Helena'
133 1.18 christos to 'St._Helena'.
134 1.18 christos Do not change established names if they only marginally
135 1.18 christos violate the above rules. For example, don't change
136 1.18 christos the existing name 'Rome' to 'Milan' merely because
137 1.18 christos Milan's population has grown to be somewhat greater
138 1.18 christos than Rome's.
139 1.18 christos If a name is changed, put its old spelling in the 'backward' file.
140 1.18 christos This means old spellings will continue to work.
141 1.1 jtc
142 1.18 christos The file 'zone1970.tab' lists geographical locations used to name time
143 1.18 christos zone rules. It is intended to be an exhaustive list of names for
144 1.18 christos geographic regions as described above; this is a subset of the names
145 1.18 christos in the data. Although a 'zone1970.tab' location's longitude
146 1.18 christos corresponds to its LMT offset with one hour for every 15 degrees east
147 1.18 christos longitude, this relationship is not exact.
148 1.1 jtc
149 1.18 christos Older versions of this package used a different naming scheme,
150 1.18 christos and these older names are still supported.
151 1.18 christos See the file 'backward' for most of these older names
152 1.18 christos (e.g., 'US/Eastern' instead of 'America/New_York').
153 1.18 christos The other old-fashioned names still supported are
154 1.18 christos 'WET', 'CET', 'MET', and 'EET' (see the file 'europe').
155 1.1 jtc
156 1.18 christos Older versions of this package defined legacy names that are
157 1.18 christos incompatible with the first rule of location names, but which are
158 1.18 christos still supported. These legacy names are mostly defined in the file
159 1.18 christos 'etcetera'. Also, the file 'backward' defines the legacy names
160 1.18 christos 'GMT0', 'GMT-0', 'GMT+0' and 'Canada/East-Saskatchewan', and the file
161 1.18 christos 'northamerica' defines the legacy names 'EST5EDT', 'CST6CDT',
162 1.18 christos 'MST7MDT', and 'PST8PDT'.
163 1.14 christos
164 1.18 christos Excluding 'backward' should not affect the other data. If
165 1.18 christos 'backward' is excluded, excluding 'etcetera' should not affect the
166 1.18 christos remaining data.
167 1.1 jtc
168 1.1 jtc
169 1.18 christos ----- Time zone abbreviations -----
170 1.1 jtc
171 1.18 christos When this package is installed, it generates time zone abbreviations
172 1.18 christos like 'EST' to be compatible with human tradition and POSIX.
173 1.18 christos Here are the general rules used for choosing time zone abbreviations,
174 1.18 christos in decreasing order of importance:
175 1.1 jtc
176 1.19 christos Use three or more characters that are ASCII alphanumerics or '+' or '-'.
177 1.18 christos Previous editions of this database also used characters like
178 1.18 christos ' ' and '?', but these characters have a special meaning to
179 1.18 christos the shell and cause commands like
180 1.18 christos set `date`
181 1.18 christos to have unexpected effects.
182 1.18 christos Previous editions of this rule required upper-case letters,
183 1.18 christos but the Congressman who introduced Chamorro Standard Time
184 1.19 christos preferred "ChST", so lower-case letters are now allowed.
185 1.19 christos Also, POSIX from 2001 on relaxed the rule to allow '-', '+',
186 1.19 christos and alphanumeric characters from the portable character set
187 1.19 christos in the current locale. In practice ASCII alphanumerics and
188 1.19 christos '+' and '-' are safe in all locales.
189 1.1 jtc
190 1.19 christos In other words, in the C locale the POSIX extended regular
191 1.19 christos expression [-+[:alnum:]]{3,} should match the abbreviation.
192 1.19 christos This guarantees that all abbreviations could have been
193 1.19 christos specified by a POSIX TZ string.
194 1.1 jtc
195 1.18 christos Use abbreviations that are in common use among English-speakers,
196 1.18 christos e.g. 'EST' for Eastern Standard Time in North America.
197 1.18 christos We assume that applications translate them to other languages
198 1.18 christos as part of the normal localization process; for example,
199 1.18 christos a French application might translate 'EST' to 'HNE'.
200 1.1 jtc
201 1.18 christos For zones whose times are taken from a city's longitude, use the
202 1.18 christos traditional xMT notation, e.g. 'PMT' for Paris Mean Time.
203 1.18 christos The only name like this in current use is 'GMT'.
204 1.14 christos
205 1.18 christos Use 'LMT' for local mean time of locations before the introduction
206 1.18 christos of standard time; see "Scope of the tz database".
207 1.1 jtc
208 1.18 christos If there is no common English abbreviation, use numeric offsets like
209 1.18 christos -05 and +0830 that are generated by zic's %z notation.
210 1.2 perry
211 1.18 christos [The remaining guidelines predate the introduction of %z.
212 1.18 christos They are problematic as they mean tz data entries invent
213 1.18 christos notation rather than record it. These guidelines are now
214 1.18 christos deprecated and the plan is to gradually move to %z for
215 1.18 christos inhabited locations and to "-00" for uninhabited locations.]
216 1.2 perry
217 1.18 christos If there is no common English abbreviation, abbreviate the English
218 1.18 christos translation of the usual phrase used by native speakers.
219 1.18 christos If this is not available or is a phrase mentioning the country
220 1.18 christos (e.g. "Cape Verde Time"), then:
221 1.2 perry
222 1.18 christos When a country is identified with a single or principal zone,
223 1.18 christos append 'T' to the country's ISO code, e.g. 'CVT' for
224 1.18 christos Cape Verde Time. For summer time append 'ST';
225 1.18 christos for double summer time append 'DST'; etc.
226 1.18 christos Otherwise, take the first three letters of an English place
227 1.18 christos name identifying each zone and append 'T', 'ST', etc.
228 1.18 christos as before; e.g. 'VLAST' for VLAdivostok Summer Time.
229 1.1 jtc
230 1.20 christos Use UT (with time zone abbreviation '-00') for locations while
231 1.20 christos uninhabited. The leading '-' is a flag that the time
232 1.20 christos zone is in some sense undefined; this notation is
233 1.20 christos derived from Internet RFC 3339.
234 1.2 perry
235 1.18 christos Application writers should note that these abbreviations are ambiguous
236 1.18 christos in practice: e.g. 'CST' has a different meaning in China than
237 1.18 christos it does in the United States. In new applications, it's often better
238 1.18 christos to use numeric UT offsets like '-0600' instead of time zone
239 1.18 christos abbreviations like 'CST'; this avoids the ambiguity.
240 1.10 christos
241 1.14 christos
242 1.14 christos ----- Accuracy of the tz database -----
243 1.14 christos
244 1.14 christos The tz database is not authoritative, and it surely has errors.
245 1.16 christos Corrections are welcome and encouraged; see the file CONTRIBUTING.
246 1.16 christos Users requiring authoritative data should consult national standards
247 1.16 christos bodies and the references cited in the database's comments.
248 1.10 christos
249 1.14 christos Errors in the tz database arise from many sources:
250 1.14 christos
251 1.14 christos * The tz database predicts future time stamps, and current predictions
252 1.14 christos will be incorrect after future governments change the rules.
253 1.14 christos For example, if today someone schedules a meeting for 13:00 next
254 1.14 christos October 1, Casablanca time, and tomorrow Morocco changes its
255 1.14 christos daylight saving rules, software can mess up after the rule change
256 1.14 christos if it blithely relies on conversions made before the change.
257 1.14 christos
258 1.16 christos * The pre-1970 entries in this database cover only a tiny sliver of how
259 1.14 christos clocks actually behaved; the vast majority of the necessary
260 1.14 christos information was lost or never recorded. Thousands more zones would
261 1.14 christos be needed if the tz database's scope were extended to cover even
262 1.14 christos just the known or guessed history of standard time; for example,
263 1.14 christos the current single entry for France would need to split into dozens
264 1.19 christos of entries, perhaps hundreds. And in most of the world even this
265 1.19 christos approach would be misleading due to widespread disagreement or
266 1.19 christos indifference about what times should be observed. In her 2015 book
267 1.19 christos "The Global Transformation of Time, 1870-1950", Vanessa Ogle writes
268 1.19 christos "Outside of Europe and North America there was no system of time
269 1.19 christos zones at all, often not even a stable landscape of mean times,
270 1.19 christos prior to the middle decades of the twentieth century". See:
271 1.19 christos Timothy Shenk, Booked: A Global History of Time. Dissent 2015-12-17
272 1.19 christos https://www.dissentmagazine.org/blog/booked-a-global-history-of-time-vanessa-ogle
273 1.14 christos
274 1.16 christos * Most of the pre-1970 data entries come from unreliable sources, often
275 1.14 christos astrology books that lack citations and whose compilers evidently
276 1.14 christos invented entries when the true facts were unknown, without
277 1.14 christos reporting which entries were known and which were invented.
278 1.14 christos These books often contradict each other or give implausible entries,
279 1.16 christos and on the rare occasions when they are checked they are
280 1.14 christos typically found to be incorrect.
281 1.14 christos
282 1.14 christos * For the UK the tz database relies on years of first-class work done by
283 1.14 christos Joseph Myers and others; see <http://www.polyomino.org.uk/british-time/>.
284 1.14 christos Other countries are not done nearly as well.
285 1.14 christos
286 1.14 christos * Sometimes, different people in the same city would maintain clocks
287 1.14 christos that differed significantly. Railway time was used by railroad
288 1.14 christos companies (which did not always agree with each other),
289 1.14 christos church-clock time was used for birth certificates, etc.
290 1.14 christos Often this was merely common practice, but sometimes it was set by law.
291 1.14 christos For example, from 1891 to 1911 the UT offset in France was legally
292 1.14 christos 0:09:21 outside train stations and 0:04:21 inside.
293 1.14 christos
294 1.14 christos * Although a named location in the tz database stands for the
295 1.14 christos containing region, its pre-1970 data entries are often accurate for
296 1.14 christos only a small subset of that region. For example, Europe/London
297 1.14 christos stands for the United Kingdom, but its pre-1847 times are valid
298 1.14 christos only for locations that have London's exact meridian, and its 1847
299 1.14 christos transition to GMT is known to be valid only for the L&NW and the
300 1.14 christos Caledonian railways.
301 1.14 christos
302 1.16 christos * The tz database does not record the earliest time for which a zone's
303 1.16 christos data entries are thereafter valid for every location in the region.
304 1.14 christos For example, Europe/London is valid for all locations in its
305 1.14 christos region after GMT was made the standard time, but the date of
306 1.14 christos standardization (1880-08-02) is not in the tz database, other than
307 1.14 christos in commentary. For many zones the earliest time of validity is
308 1.14 christos unknown.
309 1.14 christos
310 1.14 christos * The tz database does not record a region's boundaries, and in many
311 1.14 christos cases the boundaries are not known. For example, the zone
312 1.14 christos America/Kentucky/Louisville represents a region around the city of
313 1.14 christos Louisville, the boundaries of which are unclear.
314 1.14 christos
315 1.14 christos * Changes that are modeled as instantaneous transitions in the tz
316 1.14 christos database were often spread out over hours, days, or even decades.
317 1.14 christos
318 1.14 christos * Even if the time is specified by law, locations sometimes
319 1.14 christos deliberately flout the law.
320 1.14 christos
321 1.14 christos * Early timekeeping practices, even assuming perfect clocks, were
322 1.14 christos often not specified to the accuracy that the tz database requires.
323 1.14 christos
324 1.14 christos * Sometimes historical timekeeping was specified more precisely
325 1.14 christos than what the tz database can handle. For example, from 1909 to
326 1.21 christos 1937 Netherlands clocks were legally UT +00:19:32.13, but the tz
327 1.14 christos database cannot represent the fractional second.
328 1.14 christos
329 1.14 christos * Even when all the timestamp transitions recorded by the tz database
330 1.14 christos are correct, the tz rules that generate them may not faithfully
331 1.14 christos reflect the historical rules. For example, from 1922 until World
332 1.14 christos War II the UK moved clocks forward the day following the third
333 1.14 christos Saturday in April unless that was Easter, in which case it moved
334 1.14 christos clocks forward the previous Sunday. Because the tz database has no
335 1.14 christos way to specify Easter, these exceptional years are entered as
336 1.14 christos separate tz Rule lines, even though the legal rules did not change.
337 1.14 christos
338 1.16 christos * The tz database models pre-standard time using the proleptic Gregorian
339 1.14 christos calendar and local mean time (LMT), but many people used other
340 1.14 christos calendars and other timescales. For example, the Roman Empire used
341 1.14 christos the Julian calendar, and had 12 varying-length daytime hours with a
342 1.14 christos non-hour-based system at night.
343 1.14 christos
344 1.16 christos * Early clocks were less reliable, and data entries do not represent
345 1.16 christos this unreliability.
346 1.14 christos
347 1.14 christos * As for leap seconds, civil time was not based on atomic time before
348 1.14 christos 1972, and we don't know the history of earth's rotation accurately
349 1.14 christos enough to map SI seconds to historical solar time to more than
350 1.14 christos about one-hour accuracy. See: Morrison LV, Stephenson FR.
351 1.14 christos Historical values of the Earth's clock error Delta T and the
352 1.14 christos calculation of eclipses. J Hist Astron. 2004;35:327-36
353 1.14 christos <http://adsabs.harvard.edu/full/2004JHA....35..327M>;
354 1.14 christos Historical values of the Earth's clock error. J Hist Astron. 2005;36:339
355 1.14 christos <http://adsabs.harvard.edu/full/2005JHA....36..339M>.
356 1.14 christos
357 1.14 christos * The relationship between POSIX time (that is, UTC but ignoring leap
358 1.14 christos seconds) and UTC is not agreed upon after 1972. Although the POSIX
359 1.14 christos clock officially stops during an inserted leap second, at least one
360 1.14 christos proposed standard has it jumping back a second instead; and in
361 1.14 christos practice POSIX clocks more typically either progress glacially during
362 1.14 christos a leap second, or are slightly slowed while near a leap second.
363 1.14 christos
364 1.14 christos * The tz database does not represent how uncertain its information is.
365 1.16 christos Ideally it would contain information about when data entries are
366 1.14 christos incomplete or dicey. Partial temporal knowledge is a field of
367 1.14 christos active research, though, and it's not clear how to apply it here.
368 1.14 christos
369 1.14 christos In short, many, perhaps most, of the tz database's pre-1970 and future
370 1.14 christos time stamps are either wrong or misleading. Any attempt to pass the
371 1.14 christos tz database off as the definition of time should be unacceptable to
372 1.14 christos anybody who cares about the facts. In particular, the tz database's
373 1.14 christos LMT offsets should not be considered meaningful, and should not prompt
374 1.14 christos creation of zones merely because two locations differ in LMT or
375 1.14 christos transitioned to standard time at different dates.
376 1.14 christos
377 1.10 christos
378 1.18 christos ----- Time and date functions -----
379 1.18 christos
380 1.18 christos The tz code contains time and date functions that are upwards
381 1.18 christos compatible with those of POSIX.
382 1.18 christos
383 1.18 christos POSIX has the following properties and limitations.
384 1.18 christos
385 1.18 christos * In POSIX, time display in a process is controlled by the
386 1.18 christos environment variable TZ. Unfortunately, the POSIX TZ string takes
387 1.18 christos a form that is hard to describe and is error-prone in practice.
388 1.18 christos Also, POSIX TZ strings can't deal with other (for example, Israeli)
389 1.18 christos daylight saving time rules, or situations where more than two
390 1.18 christos time zone abbreviations are used in an area.
391 1.18 christos
392 1.18 christos The POSIX TZ string takes the following form:
393 1.18 christos
394 1.18 christos stdoffset[dst[offset][,date[/time],date[/time]]]
395 1.18 christos
396 1.18 christos where:
397 1.18 christos
398 1.18 christos std and dst
399 1.18 christos are 3 or more characters specifying the standard
400 1.18 christos and daylight saving time (DST) zone names.
401 1.18 christos Starting with POSIX.1-2001, std and dst may also be
402 1.18 christos in a quoted form like "<UTC+10>"; this allows
403 1.18 christos "+" and "-" in the names.
404 1.18 christos offset
405 1.18 christos is of the form '[+-]hh:[mm[:ss]]' and specifies the
406 1.18 christos offset west of UT. 'hh' may be a single digit; 0<=hh<=24.
407 1.18 christos The default DST offset is one hour ahead of standard time.
408 1.18 christos date[/time],date[/time]
409 1.18 christos specifies the beginning and end of DST. If this is absent,
410 1.18 christos the system supplies its own rules for DST, and these can
411 1.18 christos differ from year to year; typically US DST rules are used.
412 1.18 christos time
413 1.18 christos takes the form 'hh:[mm[:ss]]' and defaults to 02:00.
414 1.18 christos This is the same format as the offset, except that a
415 1.18 christos leading '+' or '-' is not allowed.
416 1.18 christos date
417 1.18 christos takes one of the following forms:
418 1.18 christos Jn (1<=n<=365)
419 1.18 christos origin-1 day number not counting February 29
420 1.18 christos n (0<=n<=365)
421 1.18 christos origin-0 day number counting February 29 if present
422 1.18 christos Mm.n.d (0[Sunday]<=d<=6[Saturday], 1<=n<=5, 1<=m<=12)
423 1.18 christos for the dth day of week n of month m of the year,
424 1.18 christos where week 1 is the first week in which day d appears,
425 1.18 christos and '5' stands for the last week in which day d appears
426 1.18 christos (which may be either the 4th or 5th week).
427 1.18 christos Typically, this is the only useful form;
428 1.18 christos the n and Jn forms are rarely used.
429 1.18 christos
430 1.18 christos Here is an example POSIX TZ string, for US Pacific time using rules
431 1.18 christos appropriate from 1987 through 2006:
432 1.2 perry
433 1.18 christos TZ='PST8PDT,M4.1.0/02:00,M10.5.0/02:00'
434 1.6 kleink
435 1.18 christos This POSIX TZ string is hard to remember, and mishandles time stamps
436 1.18 christos before 1987 and after 2006. With this package you can use this
437 1.18 christos instead:
438 1.6 kleink
439 1.18 christos TZ='America/Los_Angeles'
440 1.6 kleink
441 1.18 christos * POSIX does not define the exact meaning of TZ values like "EST5EDT".
442 1.18 christos Typically the current US DST rules are used to interpret such values,
443 1.18 christos but this means that the US DST rules are compiled into each program
444 1.18 christos that does time conversion. This means that when US time conversion
445 1.18 christos rules change (as in the United States in 1987), all programs that
446 1.18 christos do time conversion must be recompiled to ensure proper results.
447 1.6 kleink
448 1.22 christos * The TZ environment variable is process-global, which makes it hard
449 1.22 christos to write efficient, thread-safe applications that need access
450 1.22 christos to multiple time zones.
451 1.22 christos
452 1.18 christos * In POSIX, there's no tamper-proof way for a process to learn the
453 1.18 christos system's best idea of local wall clock. (This is important for
454 1.18 christos applications that an administrator wants used only at certain times -
455 1.18 christos without regard to whether the user has fiddled the "TZ" environment
456 1.18 christos variable. While an administrator can "do everything in UTC" to get
457 1.18 christos around the problem, doing so is inconvenient and precludes handling
458 1.18 christos daylight saving time shifts - as might be required to limit phone
459 1.18 christos calls to off-peak hours.)
460 1.2 perry
461 1.22 christos * POSIX provides no convenient and efficient way to determine the UT
462 1.22 christos offset and time zone abbreviation of arbitrary time stamps,
463 1.22 christos particularly for time zone settings that do not fit into the
464 1.22 christos POSIX model.
465 1.22 christos
466 1.18 christos * POSIX requires that systems ignore leap seconds.
467 1.2 perry
468 1.18 christos * The tz code attempts to support all the time_t implementations
469 1.18 christos allowed by POSIX. The time_t type represents a nonnegative count of
470 1.18 christos seconds since 1970-01-01 00:00:00 UTC, ignoring leap seconds.
471 1.18 christos In practice, time_t is usually a signed 64- or 32-bit integer; 32-bit
472 1.18 christos signed time_t values stop working after 2038-01-19 03:14:07 UTC, so
473 1.18 christos new implementations these days typically use a signed 64-bit integer.
474 1.18 christos Unsigned 32-bit integers are used on one or two platforms,
475 1.18 christos and 36-bit and 40-bit integers are also used occasionally.
476 1.18 christos Although earlier POSIX versions allowed time_t to be a
477 1.18 christos floating-point type, this was not supported by any practical
478 1.18 christos systems, and POSIX.1-2013 and the tz code both require time_t
479 1.18 christos to be an integer type.
480 1.2 perry
481 1.18 christos These are the extensions that have been made to the POSIX functions:
482 1.2 perry
483 1.18 christos * The "TZ" environment variable is used in generating the name of a file
484 1.18 christos from which time zone information is read (or is interpreted a la
485 1.18 christos POSIX); "TZ" is no longer constrained to be a three-letter time zone
486 1.18 christos name followed by a number of hours and an optional three-letter
487 1.18 christos daylight time zone name. The daylight saving time rules to be used
488 1.18 christos for a particular time zone are encoded in the time zone file;
489 1.18 christos the format of the file allows U.S., Australian, and other rules to be
490 1.18 christos encoded, and allows for situations where more than two time zone
491 1.18 christos abbreviations are used.
492 1.2 perry
493 1.18 christos It was recognized that allowing the "TZ" environment variable to
494 1.18 christos take on values such as "America/New_York" might cause "old" programs
495 1.18 christos (that expect "TZ" to have a certain form) to operate incorrectly;
496 1.18 christos consideration was given to using some other environment variable
497 1.18 christos (for example, "TIMEZONE") to hold the string used to generate the
498 1.18 christos time zone information file name. In the end, however, it was decided
499 1.18 christos to continue using "TZ": it is widely used for time zone purposes;
500 1.18 christos separately maintaining both "TZ" and "TIMEZONE" seemed a nuisance;
501 1.18 christos and systems where "new" forms of "TZ" might cause problems can simply
502 1.18 christos use TZ values such as "EST5EDT" which can be used both by
503 1.18 christos "new" programs (a la POSIX) and "old" programs (as zone names and
504 1.18 christos offsets).
505 1.2 perry
506 1.22 christos * The code supports platforms with a UT offset member in struct tm,
507 1.22 christos e.g., tm_gmtoff.
508 1.22 christos
509 1.22 christos * The code supports platforms with a time zone abbreviation member in
510 1.22 christos struct tm, e.g., tm_zone.
511 1.15 christos
512 1.18 christos * Since the "TZ" environment variable can now be used to control time
513 1.18 christos conversion, the "daylight" and "timezone" variables are no longer
514 1.18 christos needed. (These variables are defined and set by "tzset"; however, their
515 1.18 christos values will not be used by "localtime.")
516 1.15 christos
517 1.22 christos * Functions tzalloc, tzfree, localtime_rz, and mktime_z for
518 1.22 christos more-efficient thread-safe applications that need to use
519 1.22 christos multiple time zones. The tzalloc and tzfree functions
520 1.22 christos allocate and free objects of type timezone_t, and localtime_rz
521 1.22 christos and mktime_z are like localtime_r and mktime with an extra
522 1.22 christos timezone_t argument. The functions were inspired by NetBSD.
523 1.2 perry
524 1.18 christos * A function "tzsetwall" has been added to arrange for the system's
525 1.18 christos best approximation to local wall clock time to be delivered by
526 1.18 christos subsequent calls to "localtime." Source code for portable
527 1.18 christos applications that "must" run on local wall clock time should call
528 1.18 christos "tzsetwall();" if such code is moved to "old" systems that don't
529 1.18 christos provide tzsetwall, you won't be able to generate an executable program.
530 1.18 christos (These time zone functions also arrange for local wall clock time to be
531 1.18 christos used if tzset is called - directly or indirectly - and there's no "TZ"
532 1.18 christos environment variable; portable applications should not, however, rely
533 1.18 christos on this behavior since it's not the way SVR2 systems behave.)
534 1.2 perry
535 1.18 christos * Negative time_t values are supported, on systems where time_t is signed.
536 1.2 perry
537 1.18 christos * These functions can account for leap seconds, thanks to Bradley White.
538 1.6 kleink
539 1.18 christos Points of interest to folks with other systems:
540 1.6 kleink
541 1.22 christos * Code compatible with this package is already part of many platforms,
542 1.22 christos including GNU/Linux, Android, the BSDs, Chromium OS, Cygwin, AIX, iOS,
543 1.22 christos BlackBery 10, macOS, Microsoft Windows, OpenVMS, and Solaris.
544 1.18 christos On such hosts, the primary use of this package
545 1.18 christos is to update obsolete time zone rule tables.
546 1.18 christos To do this, you may need to compile the time zone compiler
547 1.18 christos 'zic' supplied with this package instead of using the system 'zic',
548 1.22 christos since the format of zic's input is occasionally extended,
549 1.22 christos and a platform may still be shipping an older zic.
550 1.6 kleink
551 1.18 christos * The UNIX Version 7 "timezone" function is not present in this package;
552 1.18 christos it's impossible to reliably map timezone's arguments (a "minutes west
553 1.18 christos of GMT" value and a "daylight saving time in effect" flag) to a
554 1.18 christos time zone abbreviation, and we refuse to guess.
555 1.18 christos Programs that in the past used the timezone function may now examine
556 1.18 christos tzname[localtime(&clock)->tm_isdst] to learn the correct time
557 1.18 christos zone abbreviation to use. Alternatively, use
558 1.18 christos localtime(&clock)->tm_zone if this has been enabled.
559 1.6 kleink
560 1.18 christos * The 4.2BSD gettimeofday function is not used in this package.
561 1.18 christos This formerly let users obtain the current UTC offset and DST flag,
562 1.18 christos but this functionality was removed in later versions of BSD.
563 1.2 perry
564 1.18 christos * In SVR2, time conversion fails for near-minimum or near-maximum
565 1.18 christos time_t values when doing conversions for places that don't use UT.
566 1.18 christos This package takes care to do these conversions correctly.
567 1.22 christos A comment in the source code tells how to get compatibly wrong
568 1.22 christos results.
569 1.2 perry
570 1.18 christos The functions that are conditionally compiled if STD_INSPIRED is defined
571 1.18 christos should, at this point, be looked on primarily as food for thought. They are
572 1.18 christos not in any sense "standard compatible" - some are not, in fact, specified in
573 1.18 christos *any* standard. They do, however, represent responses of various authors to
574 1.18 christos standardization proposals.
575 1.14 christos
576 1.18 christos Other time conversion proposals, in particular the one developed by folks at
577 1.18 christos Hewlett Packard, offer a wider selection of functions that provide capabilities
578 1.18 christos beyond those provided here. The absence of such functions from this package
579 1.18 christos is not meant to discourage the development, standardization, or use of such
580 1.18 christos functions. Rather, their absence reflects the decision to make this package
581 1.18 christos contain valid extensions to POSIX, to ensure its broad acceptability. If
582 1.18 christos more powerful time conversion functions can be standardized, so much the
583 1.18 christos better.
584 1.4 kleink
585 1.4 kleink
586 1.22 christos ----- Interface stability -----
587 1.22 christos
588 1.22 christos The tz code and data supply the following interfaces:
589 1.22 christos
590 1.22 christos * A set of zone names as per "Names of time zone rules" above.
591 1.22 christos
592 1.22 christos * Library functions described in "Time and date functions" above.
593 1.22 christos
594 1.22 christos * The programs tzselect, zdump, and zic, documented in their man pages.
595 1.22 christos
596 1.22 christos * The format of zic input files, documented in the zic man page.
597 1.22 christos
598 1.22 christos * The format of zic output files, documented in the tzfile man page.
599 1.22 christos
600 1.22 christos * The format of zone table files, documented in zone1970.tab.
601 1.22 christos
602 1.22 christos * The format of the country code file, documented in iso3166.tab.
603 1.22 christos
604 1.22 christos When these interfaces are changed, an effort is made to preserve
605 1.22 christos backward compatibility. For example, tz data files typically do not
606 1.22 christos rely on recently-added zic features, so that users can run older zic
607 1.22 christos versions to process newer data files.
608 1.22 christos
609 1.22 christos Interfaces not listed above are less stable. For example, users
610 1.22 christos should not rely on particular UT offsets or abbreviations for time
611 1.22 christos stamps, as data entries are often based on guesswork and these guesses
612 1.22 christos may be corrected or improved.
613 1.22 christos
614 1.22 christos
615 1.4 kleink ----- Calendrical issues -----
616 1.4 kleink
617 1.4 kleink Calendrical issues are a bit out of scope for a time zone database,
618 1.4 kleink but they indicate the sort of problems that we would run into if we
619 1.4 kleink extended the time zone database further into the past. An excellent
620 1.10 christos resource in this area is Nachum Dershowitz and Edward M. Reingold,
621 1.15 christos Calendrical Calculations: Third Edition, Cambridge University Press (2008)
622 1.15 christos <http://emr.cs.iit.edu/home/reingold/calendar-book/third-edition/>.
623 1.15 christos Other information and sources are given below. They sometimes disagree.
624 1.4 kleink
625 1.4 kleink
626 1.4 kleink France
627 1.4 kleink
628 1.4 kleink Gregorian calendar adopted 1582-12-20.
629 1.4 kleink French Revolutionary calendar used 1793-11-24 through 1805-12-31,
630 1.4 kleink and (in Paris only) 1871-05-06 through 1871-05-23.
631 1.4 kleink
632 1.4 kleink
633 1.4 kleink Russia
634 1.4 kleink
635 1.9 mlelstv From Chris Carrier (1996-12-02):
636 1.14 christos On 1929-10-01 the Soviet Union instituted an "Eternal Calendar"
637 1.4 kleink with 30-day months plus 5 holidays, with a 5-day week.
638 1.4 kleink On 1931-12-01 it changed to a 6-day week; in 1934 it reverted to the
639 1.4 kleink Gregorian calendar while retaining the 6-day week; on 1940-06-27 it
640 1.4 kleink reverted to the 7-day week. With the 6-day week the usual days
641 1.4 kleink off were the 6th, 12th, 18th, 24th and 30th of the month.
642 1.4 kleink (Source: Evitiar Zerubavel, _The Seven Day Circle_)
643 1.4 kleink
644 1.4 kleink
645 1.4 kleink Mark Brader reported a similar story in "The Book of Calendars", edited
646 1.4 kleink by Frank Parise (1982, Facts on File, ISBN 0-8719-6467-8), page 377. But:
647 1.4 kleink
648 1.4 kleink From: Petteri Sulonen (via Usenet)
649 1.4 kleink Date: 14 Jan 1999 00:00:00 GMT
650 1.9 mlelstv ...
651 1.4 kleink
652 1.15 christos If your source is correct, how come documents between 1929 and 1940 were
653 1.4 kleink still dated using the conventional, Gregorian calendar?
654 1.4 kleink
655 1.4 kleink I can post a scan of a document dated December 1, 1934, signed by
656 1.4 kleink Yenukidze, the secretary, on behalf of Kalinin, the President of the
657 1.4 kleink Executive Committee of the Supreme Soviet, if you like.
658 1.4 kleink
659 1.4 kleink
660 1.4 kleink
661 1.4 kleink Sweden (and Finland)
662 1.4 kleink
663 1.9 mlelstv From: Mark Brader
664 1.15 christos Subject: Re: Gregorian reform - a part of locale?
665 1.15 christos <news:1996Jul6.012937.29190 (a] sq.com>
666 1.4 kleink Date: 1996-07-06
667 1.4 kleink
668 1.4 kleink In 1700, Denmark made the transition from Julian to Gregorian. Sweden
669 1.4 kleink decided to *start* a transition in 1700 as well, but rather than have one of
670 1.4 kleink those unsightly calendar gaps :-), they simply decreed that the next leap
671 1.15 christos year after 1696 would be in 1744 - putting the whole country on a calendar
672 1.4 kleink different from both Julian and Gregorian for a period of 40 years.
673 1.4 kleink
674 1.4 kleink However, in 1704 something went wrong and the plan was not carried through;
675 1.4 kleink they did, after all, have a leap year that year. And one in 1708. In 1712
676 1.4 kleink they gave it up and went back to Julian, putting 30 days in February that
677 1.4 kleink year!...
678 1.4 kleink
679 1.4 kleink Then in 1753, Sweden made the transition to Gregorian in the usual manner,
680 1.4 kleink getting there only 13 years behind the original schedule.
681 1.4 kleink
682 1.4 kleink (A previous posting of this story was challenged, and Swedish readers
683 1.15 christos produced the following references to support it: "Tiderkning och historia"
684 1.15 christos by Natanael Beckman (1924) and "Tid, en bok om tiderkning och
685 1.15 christos kalendervsen" by Lars-Olof Lodn (1968).
686 1.4 kleink
687 1.4 kleink
688 1.4 kleink Grotefend's data
689 1.4 kleink
690 1.9 mlelstv From: "Michael Palmer" [with one obvious typo fixed]
691 1.4 kleink Subject: Re: Gregorian Calendar (was Re: Another FHC related question
692 1.4 kleink Newsgroups: soc.genealogy.german
693 1.4 kleink Date: Tue, 9 Feb 1999 02:32:48 -800
694 1.9 mlelstv ...
695 1.4 kleink
696 1.6 kleink The following is a(n incomplete) listing, arranged chronologically, of
697 1.6 kleink European states, with the date they converted from the Julian to the
698 1.4 kleink Gregorian calendar:
699 1.4 kleink
700 1.4 kleink 04/15 Oct 1582 - Italy (with exceptions), Spain, Portugal, Poland (Roman
701 1.4 kleink Catholics and Danzig only)
702 1.4 kleink 09/20 Dec 1582 - France, Lorraine
703 1.4 kleink
704 1.4 kleink 21 Dec 1582/
705 1.4 kleink 01 Jan 1583 - Holland, Brabant, Flanders, Hennegau
706 1.15 christos 10/21 Feb 1583 - bishopric of Liege (Lttich)
707 1.4 kleink 13/24 Feb 1583 - bishopric of Augsburg
708 1.4 kleink 04/15 Oct 1583 - electorate of Trier
709 1.4 kleink 05/16 Oct 1583 - Bavaria, bishoprics of Freising, Eichstedt, Regensburg,
710 1.4 kleink Salzburg, Brixen
711 1.15 christos 13/24 Oct 1583 - Austrian Oberelsa and Breisgau
712 1.4 kleink 20/31 Oct 1583 - bishopric of Basel
713 1.15 christos 02/13 Nov 1583 - duchy of Jlich-Berg
714 1.15 christos 02/13 Nov 1583 - electorate and city of Kln
715 1.15 christos 04/15 Nov 1583 - bishopric of Wrzburg
716 1.4 kleink 11/22 Nov 1583 - electorate of Mainz
717 1.4 kleink 16/27 Nov 1583 - bishopric of Strassburg and the margraviate of Baden
718 1.15 christos 17/28 Nov 1583 - bishopric of Mnster and duchy of Cleve
719 1.4 kleink 14/25 Dec 1583 - Steiermark
720 1.4 kleink
721 1.4 kleink 06/17 Jan 1584 - Austria and Bohemia
722 1.15 christos 11/22 Jan 1584 - Lucerne, Uri, Schwyz, Zug, Freiburg, Solothurn
723 1.4 kleink 12/23 Jan 1584 - Silesia and the Lausitz
724 1.4 kleink 22 Jan/
725 1.4 kleink 02 Feb 1584 - Hungary (legally on 21 Oct 1587)
726 1.4 kleink Jun 1584 - Unterwalden
727 1.4 kleink 01/12 Jul 1584 - duchy of Westfalen
728 1.4 kleink
729 1.4 kleink 16/27 Jun 1585 - bishopric of Paderborn
730 1.4 kleink
731 1.4 kleink 14/25 Dec 1590 - Transylvania
732 1.4 kleink
733 1.4 kleink 22 Aug/
734 1.4 kleink 02 Sep 1612 - duchy of Prussia
735 1.4 kleink
736 1.4 kleink 13/24 Dec 1614 - Pfalz-Neuburg
737 1.4 kleink
738 1.4 kleink 1617 - duchy of Kurland (reverted to the Julian calendar in
739 1.4 kleink 1796)
740 1.4 kleink
741 1.15 christos 1624 - bishopric of Osnabrck
742 1.4 kleink
743 1.4 kleink 1630 - bishopric of Minden
744 1.4 kleink
745 1.4 kleink 15/26 Mar 1631 - bishopric of Hildesheim
746 1.4 kleink
747 1.4 kleink 1655 - Kanton Wallis
748 1.4 kleink
749 1.4 kleink 05/16 Feb 1682 - city of Strassburg
750 1.4 kleink
751 1.4 kleink 18 Feb/
752 1.4 kleink 01 Mar 1700 - Protestant Germany (including Swedish possessions in
753 1.4 kleink Germany), Denmark, Norway
754 1.4 kleink 30 Jun/
755 1.4 kleink 12 Jul 1700 - Gelderland, Zutphen
756 1.4 kleink 10 Nov/
757 1.4 kleink 12 Dec 1700 - Utrecht, Overijssel
758 1.4 kleink
759 1.4 kleink 31 Dec 1700/
760 1.15 christos 12 Jan 1701 - Friesland, Groningen, Zrich, Bern, Basel, Geneva,
761 1.4 kleink Turgau, and Schaffhausen
762 1.4 kleink
763 1.4 kleink 1724 - Glarus, Appenzell, and the city of St. Gallen
764 1.4 kleink
765 1.4 kleink 01 Jan 1750 - Pisa and Florence
766 1.4 kleink
767 1.4 kleink 02/14 Sep 1752 - Great Britain
768 1.4 kleink
769 1.4 kleink 17 Feb/
770 1.4 kleink 01 Mar 1753 - Sweden
771 1.4 kleink
772 1.15 christos 1760-1812 - Graubnden
773 1.4 kleink
774 1.6 kleink The Russian empire (including Finland and the Baltic states) did not
775 1.4 kleink convert to the Gregorian calendar until the Soviet revolution of 1917.
776 1.4 kleink
777 1.16 christos Source: H. Grotefend, _Taschenbuch der Zeitrechnung des deutschen
778 1.6 kleink Mittelalters und der Neuzeit_, herausgegeben von Dr. O. Grotefend
779 1.16 christos (Hannover: Hahnsche Buchhandlung, 1941), pp. 26-28.
780 1.8 kleink
781 1.8 kleink
782 1.8 kleink ----- Time and time zones on Mars -----
783 1.8 kleink
784 1.17 christos Some people's work schedules use Mars time. Jet Propulsion Laboratory
785 1.17 christos (JPL) coordinators have kept Mars time on and off at least since 1997
786 1.17 christos for the Mars Pathfinder mission. Some of their family members have
787 1.17 christos also adapted to Mars time. Dozens of special Mars watches were built
788 1.17 christos for JPL workers who kept Mars time during the Mars Exploration
789 1.8 kleink Rovers mission (2004). These timepieces look like normal Seikos and
790 1.8 kleink Citizens but use Mars seconds rather than terrestrial seconds.
791 1.8 kleink
792 1.8 kleink A Mars solar day is called a "sol" and has a mean period equal to
793 1.8 kleink about 24 hours 39 minutes 35.244 seconds in terrestrial time. It is
794 1.8 kleink divided into a conventional 24-hour clock, so each Mars second equals
795 1.8 kleink about 1.02749125 terrestrial seconds.
796 1.8 kleink
797 1.8 kleink The prime meridian of Mars goes through the center of the crater
798 1.8 kleink Airy-0, named in honor of the British astronomer who built the
799 1.8 kleink Greenwich telescope that defines Earth's prime meridian. Mean solar
800 1.8 kleink time on the Mars prime meridian is called Mars Coordinated Time (MTC).
801 1.8 kleink
802 1.8 kleink Each landed mission on Mars has adopted a different reference for
803 1.8 kleink solar time keeping, so there is no real standard for Mars time zones.
804 1.8 kleink For example, the Mars Exploration Rover project (2004) defined two
805 1.8 kleink time zones "Local Solar Time A" and "Local Solar Time B" for its two
806 1.8 kleink missions, each zone designed so that its time equals local true solar
807 1.8 kleink time at approximately the middle of the nominal mission. Such a "time
808 1.8 kleink zone" is not particularly suited for any application other than the
809 1.8 kleink mission itself.
810 1.8 kleink
811 1.8 kleink Many calendars have been proposed for Mars, but none have achieved
812 1.8 kleink wide acceptance. Astronomers often use Mars Sol Date (MSD) which is a
813 1.8 kleink sequential count of Mars solar days elapsed since about 1873-12-29
814 1.8 kleink 12:00 GMT.
815 1.8 kleink
816 1.8 kleink The tz database does not currently support Mars time, but it is
817 1.8 kleink documented here in the hopes that support will be added eventually.
818 1.8 kleink
819 1.8 kleink Sources:
820 1.8 kleink
821 1.8 kleink Michael Allison and Robert Schmunk,
822 1.8 kleink "Technical Notes on Mars Solar Time as Adopted by the Mars24 Sunclock"
823 1.13 christos <http://www.giss.nasa.gov/tools/mars24/help/notes.html> (2012-08-08).
824 1.8 kleink
825 1.8 kleink Jia-Rui Chong, "Workdays Fit for a Martian", Los Angeles Times
826 1.13 christos <http://articles.latimes.com/2004/jan/14/science/sci-marstime14>
827 1.8 kleink (2004-01-14), pp A1, A20-A21.
828 1.15 christos
829 1.17 christos Tom Chmielewski, "Jet Lag Is Worse on Mars", The Atlantic (2015-02-26)
830 1.17 christos <http://www.theatlantic.com/technology/archive/2015/02/jet-lag-is-worse-on-mars/386033/>
831 1.15 christos
832 1.15 christos -----
833 1.18 christos
834 1.18 christos This file is in the public domain, so clarified as of 2009-05-17 by
835 1.18 christos Arthur David Olson.
836 1.18 christos
837 1.18 christos -----
838 1.15 christos Local Variables:
839 1.15 christos coding: utf-8
840 1.15 christos End:
841