#!/usr/bin/env python # # Copyright (c) 2013 Daniil Baturin # # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal # in the Software without restriction, including without limitation the rights # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell # copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included in # all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN # THE SOFTWARE. import sys class MayaDate(object): """ Converts number of days since UNIX epoch to the Maya calendar date. Ancient Maya people used three independent calendars for different purposes. Long count calendar is for recording historical events. It and represents the number of days passed since some date in the past the Maya believed is the day our world was created. Tzolkin calendar is for religious purposes, it has two independent cycles of 13 and 20 days, where 13 day cycle days are numbered, and 20 day cycle days are named. Haab calendar is for agriculture and daily life, it's a 365 day calendar with 18 months 20 days each, and 5 nameless days. The smallest unit of long count calendar is one day (kin) """ """ The long count calendar uses five different base 18 or base 20 cycles. Long-count date is writtin in dot separated format from longest to shortest cycle, .... for example, "13.0.0.9.2". Classic version actually used by the ancient Maya wraps around every 13th baktun, but modern researchers often use longer cycles such as piktun = 20 baktun. """ kin = 1 winal = 20 # 20 kin tun = 360 # 18 winal katun = 7200 # 20 tun baktun = 144000 # 20 katun """ Tzolk'in date is composed of two independent cycles. Dates repeat every 260 days, 13 Ajaw is considered the end of tzolk'in. Every day of the 20 day cycle has unique name, we number them from zero so it's easier to map remainder to day: """ tzolkin_days = { 0: "Imix'", 1: "Ik'", 2: "Ak'b'al", 3: "K'an", 4: "Chikchan", 5: "Kimi", 6: "Manik'", 7: "Lamat", 8: "Muluk", 9: "Ok", 10: "Chuwen", 11: "Eb'", 12: "B'en", 13: "Ix", 14: "Men", 15: "Kib'", 16: "Kab'an", 17: "Etz'nab'", 18: "Kawak", 19: "Ajaw" } """ As said above, haab (year) has 19 months. Only 18 are true months of 20 days each, the remaining 5 days called "wayeb" do not really belong to any month, but we think of them as a pseudo-month for convenience. Also, note that days of the month are actually numbered from 0, not from 1, it's not for technical reasons. """ haab_months = { 0: "Pop", 1: "Wo'", 2: "Sip", 3: "Sotz'", 4: "Sek", 5: "Xul", 6: "Yaxk'in'", 7: "Mol", 8: "Ch'en", 9: "Yax", 10: "Sak'", 11: "Keh", 12: "Mak", 13: "K'ank'in", 14: "Muwan'", 15: "Pax", 16: "K'ayab", 17: "Kumk'u", 18: "Wayeb'" } """ Now we need to map the beginning of UNIX epoch (Jan 1 1970 00:00 UTC) to the beginning of the long count calendar (0.0.0.0.0, 4 Ajaw, 8 Kumk'u). The problem with mapping the long count calendar to any other is that its start date is not known exactly. The most widely accepted hypothesis suggests it was August 11, 3114 BC gregorian date. In this case UNIX epoch starts on 12.17.16.7.5, 13 Chikchan, 3 K'ank'in It's known as Goodman-Martinez-Thompson (GMT) correlation constant. """ start_days = 1856305 """ Seconds in day, for conversion from timestamp """ seconds_in_day = 60 * 60 * 24 def __init__(self, timestamp): if timestamp is None: self.days = self.start_days else: self.days = self.start_days + (int(timestamp) // self.seconds_in_day) def long_count_date(self): """ Returns long count date string """ days = self.days cur_baktun = days // self.baktun days = days % self.baktun cur_katun = days // self.katun days = days % self.katun cur_tun = days // self.tun days = days % self.tun cur_winal = days // self.winal days = days % self.winal cur_kin = days longcount_string = "{0}.{1}.{2}.{3}.{4}".format( cur_baktun, cur_katun, cur_tun, cur_winal, cur_kin ) return(longcount_string) def tzolkin_date(self): """ Returns tzolkin date string """ days = self.days """ The start date is not the beginning of both cycles, it's 4 Ajaw. So we need to add 4 to the 13 days cycle day, and substract 1 from the 20 day cycle to get correct result. """ tzolkin_13 = (days + 4) % 13 tzolkin_20 = (days - 1) % 20 tzolkin_string = "{0} {1}".format(tzolkin_13, self.tzolkin_days[tzolkin_20]) return(tzolkin_string) def haab_date(self): """ Returns haab date string. The time start on 8 Kumk'u rather than 0 Pop, which is 17 days before the new haab, so we need to substract 17 from the current date to get correct result. """ days = self.days haab_day = (days - 17) % 365 haab_month = haab_day // 20 haab_day_of_month = haab_day % 20 haab_string = "{0} {1}".format(haab_day_of_month, self.haab_months[haab_month]) return(haab_string) def date(self): return("{0}, {1}, {2}".format( self.long_count_date(), self.tzolkin_date(), self.haab_date() )) try: timestamp = sys.argv[1] except: print("Please specify timestamp in the argument") sys.exit(1) maya_date = MayaDate(timestamp) print(maya_date.date())