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if not modules then modules = { } end modules ['t-calendar'] = {
version = "2023.04.15",
comment = "Date calculation collection",
author = "Willi Egger",
copyright = "Willi Egger",
email = "w.egger@boede.nl",
license = "Public Domain"
}
thirddata = thirddata or { }
thirddata.calendar = { }
local calendar = thirddata.calendar
local report = logs.reporter("Calendar")
-- Determine whether the year is a leap year
function calendar.isleapyear(year)
local yeardays
if (year % 4 == 0) and (year % 100 ~= 0 or year % 400 == 0) then
yeardays = 366
else
yeardays = 365
end
-- report("Days in the year in function calendar.isleapyear: %d",yeardays)
return yeardays
end
-- Lua calculates day 1 = sunday, day 0 = saturday
--
-- Calculate the weekday of 1st of january according to S. Babwani
-- w = floor(5*year/4)+f(m)+d- 2 * mod(cn,4)
-- where w is the week day
-- where year is the last two digits of the full year.
-- where f(m) is 0 for january (See table 3 of Babwani's congruence)
-- where d is the day: 1 for january
-- where cn is the century
function calendar.janfirst(y)
local year = y
-- report("Working in function: calendar.janfirst")
-- report("Year in function: calendar.janfirst: %d",year)
local cn = math.floor(year/100) -- century
local yr = math.fmod(year,100) -- year without century
local leap_year = calendar.isleapyear(year) -- returns values 365 or 366
-- report("Century %d",cn)
-- report("Year without century %d",yr)
-- report("Result of check for leapyear (days) %d",leap_year)
local janfirst
if leap_year == 365 then
janfirst = math.fmod((math.floor((5 * yr) / 4)
+ 0 + 1 - (2 * (math.fmod(cn,4)))),7)
else
janfirst = math.fmod((math.floor((5 * yr) / 4)
+ 6 + 1 - (2 * (math.fmod(cn,4)))),7)
end
--report("Weekday of January 1st in function calendar.janfirst: %d",janfirst)
return janfirst
end
-- Calculate the ordinal number of a given day of the year from the weeknumber
function calendar.wknrordinal(wkdjf,wk,yr)
local weekdayjanfirst = wkdjf
local weeknumber = wk
local year = yr
report("Working in calendar.wknrordinal")
--report("Weeknumber %d, Year: %d", weeknumber,year)
-- This table contains the offset of the first monday after the 1st of
-- january,
-- as used in the calculation of the ordinal number of a day of the year
local dyearbegin = {1,0,6,5,4,3,2}
local ordinalday = (weeknumber - 1) * 7 + dyearbegin[weekdayjanfirst]
--report("Ordinal day in calendar.wknrordinal: %d", ordinalday)
leapyear = calendar.isleapyear(year)
if ordinalday > leapyear then
ordinalday = ordinalday - 7
end
return ordinalday
end
-- Calculate the first day of a week calendar based on the week day of the 1st
-- of january, date calculations based on the OS-timestamp
function calendar.weekcalendar(wk,mn,yr)
local weeknumber = wk
local month = mn
local year = yr
report("Working in function: calendar.weekcalendar")
--report("Week number: %d Year: %d",weeknumber,year)
--report("Week number in function calendar.weekcalendar %d", weeknumber)
if month == 1 and weeknumber > 51 then
year = year -1
end
local weekdayjanfirst = calendar.janfirst(year)
--report("Weekday of January 1st from function calendar.weekcalendar: %d",weekdayjanfirst)
if weekdayjanfirst == 0 then weekdayjanfirst = 7 end
local janfirsttimestamp = os.time({year=year,month=1,day=1})
-- report("January 1st timestamp: %d", janfirsttimestamp)
local startday = janfirsttimestamp
local ordinalday = calendar.wknrordinal(weekdayjanfirst,weeknumber,year)
--report("Ordinal day (function: calendar.weekcalendar): %d",ordinalday)
if weekdayjanfirst > 1 and weekdayjanfirst <= 5 and weeknumber == 1 then
startday = janfirsttimestamp - (weekdayjanfirst-1) * 24 * 60 * 60
elseif
weekdayjanfirst == 3 or weekdayjanfirst == 4 or weekdayjanfirst == 5 and weeknumber ~= 1 then
startday = janfirsttimestamp + (ordinalday-8) * 24 * 60 * 60
else
startday = janfirsttimestamp + (ordinalday-1) * 24 * 60 * 60
end
if ordinalday > 360 then
startday = janfirsttimestamp + (ordinalday-1) * 24 * 60 * 60
end
-- local q = os.date("%x",startday)
--
--report("Start day of chosen week from function calendar.janfirst: %s", q)
return startday
end
-- Select a weekday from the os.date table and return the day name value to ConTeXt
function calendar.select_dayname(d,wk,mn,y)
local weekday = d
local weeknumber = wk
local month = mn --not used but necessary for calendar.weekcalendar
local year = y
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + weekday * 24 * 60 * 60
local s = string.lower(os.date("%a",d))
-- report("Working in function: calendar.select_dayname")
local t = os.date("%d-%m-%Y",d)
-- report("Startday+day! : %s", t)
-- report("Day name: %s", s)
return s
end
-- Select a date from the os.date table and return the value to ConTeXt
function calendar.select_fulldate(weeknumber,year,day)
local month = 5 --not used but necessary for calendar.weekcalendar
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + day * 24 * 60 * 60
local s = os.date("%d-%m-%Y",d)
-- report("Working in function: calendar.select_fulldate")
return context(s)
end
-- Select an ordinal day from the os.date table and return the day name value to ConTeXt
function calendar.select_dayofmonth(d,wk,mn,y)
local day = d
local weeknumber = wk
local month = mn
local year = y
-- report("Working in function: calendar.select_dayofmonth")
-- report("Weeknumber: %s , Year: %s, Day: %s", weeknumber,year,day)
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + day * 24 * 60 * 60
local s = os.date("%d",d)
local b = string.lower(os.date("%a",d))
local t = os.date("%d-%m-%Y",d)
-- report("Asked day : %s", t)
-- report("B Dayname: %s", b)
s = tonumber(s)
-- report("B Day number of month: %d", s)
return s
end
-- Select the month number from the os.date table and return the value as a number
function calendar.select_month(d,wk,y)
local weeknumber = wk
local year = y
local day = d
local month = 5 -- this is not used, but necessary for using calendar.weekcalendar
-- report("Working in function: calendar.select_month")
-- report("Day: %s, Weeknumber %s, Year: %s", day,weeknumber,year)
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + day * 24 * 60 * 60
local s = os.date("%m",d)
-- report("select month: %s", s)
return s
end
-- Select the month name from the os.date table and return the name of the month
function calendar.select_monthname(d,wk,mn,y)
local day = d
local weeknumber = wk
local month = mn -- this is not used, but necessary for using calendar.weekcalendar
local year = y
-- report("Working in function: calendar.select_monthname")
-- report("Day: %s, Week: %s, Year: %s", day,weeknumber,year)
local startday = calendar.weekcalendar(weeknumber,month,year)
local t = startday + day * 24 * 60 * 60
local s = string.lower(os.date("%B",t))
return s
end
-- Select the fullyear from the os.date table and return the value
function calendar.select_fullyear(weeknumber,year,day)
local month = 5 --not used, but necessary for using calendar.weekcalendar
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + day * 24 * 60 * 60
local s = os.date("%Y",d)
-- report("Working in function: calendar.select_fullyear")
return s
end
-- Select the monthname (long) based on month-number from os.date
function calendar.select_nameofmonth(mon,y)
-- report("Working in function: calendar.select_nameofmonth")
local monthnumber = mon
local year = y
local d = 1
local m = string.lower(os.date("%B",
os.time{year=year,month=monthnumber,day=d}))
-- report("Month name %s",m)
return m
end
-- Select the monthname (long) based on monthnumber from os.date and return it as a labeltext
function calendar.select_nameofmonthlabel(mon,y)
-- report("Working in function: calendar.select_nameofmonthlabel")
local monthnumber = mon
local year = y
local d = 1
local m = string.lower(os.date("%B",
os.time{year=year,month=monthnumber,day=d}))
-- report("Month name %s",m)
return context.labeltext(m)
end
-- Select the year from the os.date table and return the value to ConTeXt
function calendar.select_year(weeknumber,year,day)
local month = 5 --not used but necessary for calendar.weekcalendar
local startday = calendar.weekcalendar(weeknumber,month,year)
local d = startday + day * 24 * 60 * 60
local s = os.date("%y",d)
-- report("Working in function: calendar.select_year")
return s --context(s)
end
--[[
EASTER DATE CALCULATION FOR YEARS 1583 TO 4099
y is a 4 digit year 1583 to 4099
d returns the day of the month of Easter
m returns the month of Easter
Easter Sunday is the Sunday following the Paschal Full Moon
(PFM) date for the year
This algorithm is an arithmetic interpretation of the 3 step
Easter Dating Method developed by Ron Mallen 1985, as a vast
improvement on the method described in the Common Prayer Book
Because this algorithm is a direct translation of the
official tables, it can be easily proved to be 100% correct
This algorithm derives values by sequential inter-dependent
calculations, so ... DO NOT MODIFY THE ORDER OF CALCULATIONS!
All variables are integer data types
It's free!
Comment: Translated from a BASIC-source into lua by W. Egger, 11-2010
--]]
function calendar.eastercalculation(y)
local year = y
local FirstDig = math.floor(year / 100) --first 2 digits of year
local Remain19 = math.fmod(year,19) --remainder of year / 19
local temp
local a = {}
local tA
local tB
local tC
local tD
local tE
local m
local d
-- calculate Paschal Full Moon (PFM) date
temp = math.floor((FirstDig - 15) / 2) + 202 - 11 * Remain19
a = {21, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 38}
for val in pairs(a) do
if val == FristDig then
temp = temp - 1
break
end
end
a = {33, 36, 37, 39, 40}
for val in pairs(a) do
if val == FirstDig then
temp = temp - 2
break
end
end
temp = math.fmod(temp, 30)
tA = temp + 21
if temp == 29 then
tA = tA - 1
end
if (temp == 28 and Remain19 > 10) then
tA = tA - 1
end
--find the next Sunday
tB = math.fmod((tA - 19), 7)
tC = math.fmod((40 - FirstDig), 4)
if tC == 3 then
tC = tC + 1
end
if tC > 1 then
tC = tC + 1
end
temp = math.fmod(year, 100)
tD = math.fmod(temp + math.floor(temp/ 4), 7)
tE = math.fmod((20 - tB - tC - tD), 7) + 1
d = tA + tE
-- return the date
if d > 31 then
d = d - 31
m = 4
else
m = 3
end
-- return context("Year: " ..year .." month:" ..m .. " day: " ..d)
local odes = calendar.ordinalday(d,m,year)
-- report("Easter ordinal day: %s", odes)
return odes
end
-- Calculate the ordinal daynumber from a given date with os.date and os.time
function calendar.ordinalday(day,month,year)
-- report("Working in function: calendar.ordinalday")
local t = os.date("*t",os.time{year=year,month=month,day=day})
local od = t.yday
return od
end
--Check a date whether it is a Christian feast
function calendar.checkchristianfeast(d,m,y)
--report("Working in function: calendar.checkchristianfeast")
--report("Check Christian Feast: Day: %s, Month: %s, Year: %s", d,m,y)
local daynumber = d
local month = m
local year = y
local odes = calendar.eastercalculation(year)
local od = calendar.ordinalday(daynumber,month,year)
-- report("Result easter calculation: %s", odes)
-- report("Ordinal day to be checked: %s", od)
local s = nil
if month == 1 and od == 1 then
s = "nyd"
end
if month == 1 and od == 6 then
s = "epi"
end
if month < 7 then -- Easter depending feasts are never later than june
if od == odes - 46 then
s = "ashw"
elseif od == odes - 7 then
s = "palms"
elseif od == odes - 2 then
s = "gfri"
elseif od == odes then
s = "esun"
elseif od == odes + 1 then
s = "esmo"
elseif od == odes + 39 then
s = "ascd"
elseif od == odes + 49 then
s= "pcst"
elseif od == odes + 50 then
s= "pcstmo"
end
end
if month == 12 and daynumber == 25 then
s = "xmas"
end
if month == 12 and daynumber == 26 then
s = "bxd"
end
if s == nil then
s = ""
end
-- report("Result of christian holiday: %s", s)
return s
end
--Create a table with the number of days per month, accounting for leapyears and return the number of days to the calling function
local dayspermonth = { 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }
local nofdays = 0
function calendar.nofdays_month(month,year)
-- report("Working in function: calendar.nofdays_month")
if month == 2 and calendar.isleapyear(year) ~= 365 then
nofdays = dayspermonth[month] + 1
else
nofdays = dayspermonth[month]
end
return nofdays
end
-- Create a table with the number of days per month, accounting for leapyears
-- and return the number of weeks of the given month to the calling function
function calendar.month(month,year)
report("Working in function: calendar.month")
local month = tonumber(month)
if month == 2 and calendar.isleapyear(year) ~= 365 then
nofdays = dayspermonth[month] + 1
else
nofdays = dayspermonth[month]
end
-- report ("Number of days : %s",nofdays)
monthtable = {}
local s = os.date("*t", os.time{year=year,month=month,day=1})
-- report("os.date: week day : %s",s.wday)
--Correcting the fact that lua starts the week on sunday
local wday = s.wday - 1
if wday == 0 then
wday = 7
end
-- report("Week day : %s",wday)
local beginmonth = wday-1
for i = 1, beginmonth do
table.insert(monthtable, 0)
end
for i = wday, (nofdays + beginmonth) do
table.insert(monthtable, i - wday + 1)
end
for i = (nofdays + beginmonth + 1), 42 do --a month table is max. 7 x 6 fields
table.insert(monthtable, 0)
end
local wkf = calendar.weeknumber(1,month,year)
local wkl = calendar.weeknumber(nofdays,month,year)
-- report("monthtable nofdays : %s",nofdays)
-- report("monthtable wkf : %s",wkf)
-- report("monthtable wkl : %s",wkl)
local b = wkl - wkf + 1
if month > 1 and month < 12 then
b = wkl - wkf + 1
elseif month == 12 and wkl == 1 then
wkl = 53
b = wkl - wkf + 1
elseif month == 1 and wkf > 51 then
b = wkl + 1
end
--report("number of weeks %s in month %s",b,month)
return b
end
--Select a day from the month table return value to context
function calendar.dayselectofmonth(day)
-- report("Working in function calendar.dayselectofmonth")
-- report("Selected day : %s",day)
local s = monthtable[day]
-- report("Selected day from the monthtable: %s", s)
if s == 0 then
s = ""
return s --context(s)
else
return s --context(s)
end
end
--Generate the month name with os.date and os.time
function calendar.monthname(mon,y)
local month = mon
local year = y
if month > 12 then
month = month - 12
year = year + 1
end
local s = string.lower(os.date("%B",os.time{year=year,month=month,day=1}))
-- report("month name : %s",s)
return s
end
-- http://www.irt.org/script/914.htm, Java, Ferry van Schaik
-- Get the ISO week number from a given date for Europe
--USA
--[[
function calendar.weeknumber(day,month,year)
local when = os.time({year=year,month=month,day=day})
local modDay = tonumber(os.date("%w",os.time({year=year,month=1,day=1})))
report("modDay in US calendar.weeknumber: %s",modDay)
local offset = 7 + 1 - modDay
if offset == 8 then
offset = 1
end
local daynum = math.round((when - os.time({year=year,month=1,day=1})) /60/60/24) + 1
report("daynum in US calendar.weeknumber: %s",daynum)
local weeknum = math.floor((daynum-offset+7)/7);
report("Week number in calendar.weeknumber %s", weeknum)
if weeknum == 0 then
year = year - 1
local prevNewYear = tonumber(os.date
("%w",os.time({year=year,month=1,day=1})))
local prevOffset = 7 + 1 - prevNewYear
if prevOffset == 2 or prevOffset == 8 then
weeknum = 53
else
weeknum = 52
end
end
return weeknum
end
--]]
-- EUROPA
function calendar.weeknumber(d,month,year)
local day = d
-- report("Working in function calendar.weeknumber")
-- report("Daynumber in function calendar.daynumber: %s", day)
local when = os.time({year=year,month=month,day=day})
local modDay = tonumber(os.date("%w",os.time({year=year,month=1,day=1})))
if modDay == 0 then
modDay = 6
else
modDay = modDay - 1
end
local daynum = math.round((when - os.time({year=year,month=1,day=1})) /60/60/24) + 1
local weeknum = 0
if modDay < 4 then
weeknum = math.floor((daynum+modDay-1)/7)+1
else
weeknum = math.floor((daynum+modDay-1)/7)
if weeknum == 0 then
local prevmodDay = tonumber(os.date("%w",os.time({year=year-1,month=1,day=1})))
if prevmodDay == 0 then
prevmodDay = 6
end
if prevmodDay < 4 then
weeknum = 53
else
weeknum = 52
end
end
end
return weeknum
end
-- Calculate the week number of a given monday of the year from the ordinal day number
function calendar.ordinaltowknr(ordinalday,year)
-- This table contains the offset of the first monday after the 1st of
-- january,
-- as used in the calculation of the ordinal number of a day of the year
local dyearbegin = {1,0,6,5,4,3,2}
local weekdayjanfirst = calendar.janfirst(year)
if weekdayjanfirst == 0 then
weekdayjanfirst = 7
end
local wknumber = math.div(ordinalday - dyearbegin[weekdayjanfirst],7) + 1
return wknumber
end
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