Module:Date/sandbox

-- Date functions for use by other modules.

-- I18N and time zones are not supported.

local MINUS = '−' -- Unicode U+2212 MINUS SIGN

local floor = math.floor

local Date, DateDiff, diffmt -- forward declarations

local uniq = { 'unique identifier' }

local function is_date(t)

-- The system used to make a date read-only means there is no unique

-- metatable that is conveniently accessible to check.

return type(t) == 'table' and t._id == uniq

end

local function is_diff(t)

return type(t) == 'table' and getmetatable(t) == diffmt

end

local function _list_join(list, sep)

return table.concat(list, sep)

end

local function collection()

-- Return a table to hold items.

return {

n = 0,

add = function (self, item)

self.n = self.n + 1

self[self.n] = item

end,

join = _list_join,

}

end

local function strip_to_nil(text)

-- If text is a string, return its trimmed content, or nil if empty.

-- Otherwise return text (convenient when Date fields are provided from

-- another module which may pass a string, a number, or another type).

if type(text) == 'string' then

text = text:match('(%S.-)%s*$')

end

return text

end

local function is_leap_year(year, calname)

-- Return true if year is a leap year.

if calname == 'Julian' then

return year % 4 == 0

end

return (year % 4 == 0 and year % 100 ~= 0) or year % 400 == 0

end

local function days_in_month(year, month, calname)

-- Return number of days (1..31) in given month (1..12).

if month == 2 and is_leap_year(year, calname) then

return 29

end

return ({ 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 })[month]

end

local function h_m_s(time)

-- Return hour, minute, second extracted from fraction of a day.

time = floor(time * 24 * 3600 + 0.5) -- number of seconds

local second = time % 60

time = floor(time / 60)

return floor(time / 60), time % 60, second

end

local function hms(date)

-- Return fraction of a day from date's time, where (0 <= fraction < 1)

-- if the values are valid, but could be anything if outside range.

return (date.hour + (date.minute + date.second / 60) / 60) / 24

end

local function julian_date(date)

-- Return jd, jdz from a Julian or Gregorian calendar date where

-- jd = Julian date and its fractional part is zero at noon

-- jdz = same, but assume time is 00:00:00 if no time given

-- http://www.tondering.dk/claus/cal/julperiod.php#formula

-- Testing shows this works for all dates from year -9999 to 9999!

-- JDN 0 is the 24-hour period starting at noon UTC on Monday

-- 1 January 4713 BC = (-4712, 1, 1) Julian calendar

-- 24 November 4714 BC = (-4713, 11, 24) Gregorian calendar

local offset

local a = floor((14 - date.month)/12)

local y = date.year + 4800 - a

if date.calendar == 'Julian' then

offset = floor(y/4) - 32083

else

offset = floor(y/4) - floor(y/100) + floor(y/400) - 32045

end

local m = date.month + 12*a - 3

local jd = date.day + floor((153*m + 2)/5) + 365*y + offset

if date.hastime then

jd = jd + hms(date) - 0.5

return jd, jd

end

return jd, jd - 0.5

end

local function set_date_from_jd(date)

-- Set the fields of table date from its Julian date field.

-- Return true if date is valid.

-- http://www.tondering.dk/claus/cal/julperiod.php#formula

-- This handles the proleptic Julian and Gregorian calendars.

-- Negative Julian dates are not defined but they work.

local calname = date.calendar

local low, high -- min/max limits for date ranges −9999-01-01 to 9999-12-31

if calname == 'Gregorian' then

low, high = -1930999.5, 5373484.49999

elseif calname == 'Julian' then

low, high = -1931076.5, 5373557.49999

else

return

end

local jd = date.jd

if not (type(jd) == 'number' and low <= jd and jd <= high) then

return

end

local jdn = floor(jd)

if date.hastime then

local time = jd - jdn -- 0 <= time < 1

if time >= 0.5 then -- if at or after midnight of next day

jdn = jdn + 1

time = time - 0.5

else

time = time + 0.5

end

date.hour, date.minute, date.second = h_m_s(time)

else

date.second = 0

date.minute = 0

date.hour = 0

end

local b, c

if calname == 'Julian' then

b = 0

c = jdn + 32082

else -- Gregorian

local a = jdn + 32044

b = floor((4*a + 3)/146097)

c = a - floor(146097*b/4)

end

local d = floor((4*c + 3)/1461)

local e = c - floor(1461*d/4)

local m = floor((5*e + 2)/153)

date.day = e - floor((153*m + 2)/5) + 1

date.month = m + 3 - 12*floor(m/10)

date.year = 100*b + d - 4800 + floor(m/10)

return true

end

local function fix_numbers(numbers, y, m, d, H, M, S, partial, hastime, calendar)

-- Put the result of normalizing the given values in table numbers.

-- The result will have valid m, d values if y is valid; caller checks y.

-- The logic of PHP mktime is followed where m or d can be zero to mean

-- the previous unit, and -1 is the one before that, etc.

-- Positive values carry forward.

local date

if not (1 <= m and m <= 12) then

date = Date(y, 1, 1)

if not date then return end

date = date + ((m - 1) .. 'm')

y, m = date.year, date.month

end

local days_hms

if not partial then

if hastime and H and M and S then

if not (0 <= H and H <= 23 and

0 <= M and M <= 59 and

0 <= S and S <= 59) then

days_hms = hms({ hour = H, minute = M, second = S })

end

end

if days_hms or not (1 <= d and d <= days_in_month(y, m, calendar)) then

date = date or Date(y, m, 1)

if not date then return end

date = date + (d - 1 + (days_hms or 0))

y, m, d = date.year, date.month, date.day

if days_hms then

H, M, S = date.hour, date.minute, date.second

end

end

end

numbers.year = y

numbers.month = m

numbers.day = d

if days_hms then

-- Don't set H unless it was valid because a valid H will set hastime.

numbers.hour = H

numbers.minute = M

numbers.second = S

end

end

local function set_date_from_numbers(date, numbers, options)

-- Set the fields of table date from numeric values.

-- Return true if date is valid.

if type(numbers) ~= 'table' then

return

end

local y = numbers.year or date.year

local m = numbers.month or date.month

local d = numbers.day or date.day

local H = numbers.hour

local M = numbers.minute or date.minute or 0

local S = numbers.second or date.second or 0

local need_fix

if y and m and d then

date.partial = nil

if not (-9999 <= y and y <= 9999 and

1 <= m and m <= 12 and

1 <= d and d <= days_in_month(y, m, date.calendar)) then

if not date.want_fix then

return

end

need_fix = true

end

elseif y and date.partial then

if d or not (-9999 <= y and y <= 9999) then

return

end

if m and not (1 <= m and m <= 12) then

if not date.want_fix then

return

end

need_fix = true

end

else

return

end

if date.partial then

H = nil -- ignore any time

M = nil

S = nil

else

if H then

-- It is not possible to set M or S without also setting H.

date.hastime = true

else

H = 0

end

if not (0 <= H and H <= 23 and

0 <= M and M <= 59 and

0 <= S and S <= 59) then

if date.want_fix then

need_fix = true

else

return

end

end

end

date.want_fix = nil

if need_fix then

fix_numbers(numbers, y, m, d, H, M, S, date.partial, date.hastime, date.calendar)

return set_date_from_numbers(date, numbers, options)

end

date.year = y -- -9999 to 9999 ('n BC' → year = 1 - n)

date.month = m -- 1 to 12 (may be nil if partial)

date.day = d -- 1 to 31 (* = nil if partial)

date.hour = H -- 0 to 59 (*)

date.minute = M -- 0 to 59 (*)

date.second = S -- 0 to 59 (*)

if type(options) == 'table' then

for _, k in ipairs({ 'am', 'era', 'format' }) do

if options[k] then

date.options[k] = options[k]

end

end

end

return true

end

local function make_option_table(options1, options2)

-- If options1 is a string, return a table with its settings, or

-- if it is a table, use its settings.

-- Missing options are set from table options2 or defaults.

-- If a default is used, a flag is set so caller knows the value was not intentionally set.

-- Valid option settings are:

-- am: 'am', 'a.m.', 'AM', 'A.M.'

-- 'pm', 'p.m.', 'PM', 'P.M.' (each has same meaning as corresponding item above)

-- era: 'BCMINUS', 'BCNEGATIVE', 'BC', 'B.C.', 'BCE', 'B.C.E.', 'AD', 'A.D.', 'CE', 'C.E.'

-- Option am = 'am' does not mean the hour is AM; it means 'am' or 'pm' is used, depending on the hour,

-- and am = 'pm' has the same meaning.

-- Similarly, era = 'BC' means 'BC' is used if year <= 0.

-- BCMINUS displays a MINUS if year < 0 and the display format does not include %{era}.

-- BCNEGATIVE is similar but displays a hyphen.

local result = { bydefault = {} }

if type(options1) == 'table' then

result.am = options1.am

result.era = options1.era

elseif type(options1) == 'string' then

-- Example: 'am:AM era:BC' or 'am=AM era=BC'.

for item in options1:gmatch('%S+') do

local lhs, rhs = item:match('^(%w+)[:=](.+)$')

if lhs then

result[lhs] = rhs

end

end

end

options2 = type(options2) == 'table' and options2 or {}

local defaults = { am = 'am', era = 'BC' }

for k, v in pairs(defaults) do

if not result[k] then

if options2[k] then

result[k] = options2[k]

else

result[k] = v

result.bydefault[k] = true

end

end

end

return result

end

local ampm_options = {

-- lhs = input text accepted as an am/pm option

-- rhs = code used internally

['am'] = 'am',

['AM'] = 'AM',

['a.m.'] = 'a.m.',

['A.M.'] = 'A.M.',

['pm'] = 'am', -- same as am

['PM'] = 'AM',

['p.m.'] = 'a.m.',

['P.M.'] = 'A.M.',

}

local era_text = {

-- Text for displaying an era with a positive year (after adjusting

-- by replacing year with 1 - year if date.year <= 0).

-- options.era = { year<=0 , year>0 }

['BCMINUS'] = { 'BC' , '' , isbc = true, sign = MINUS },

['BCNEGATIVE'] = { 'BC' , '' , isbc = true, sign = '-' },

['BC'] = { 'BC' , '' , isbc = true },

['B.C.'] = { 'B.C.' , '' , isbc = true },

['BCE'] = { 'BCE' , '' , isbc = true },

['B.C.E.'] = { 'B.C.E.', '' , isbc = true },

['AD'] = { 'BC' , 'AD' },

['A.D.'] = { 'B.C.' , 'A.D.' },

['CE'] = { 'BCE' , 'CE' },

['C.E.'] = { 'B.C.E.', 'C.E.' },

}

local function get_era_for_year(era, year)

return (era_text[era] or era_text['BC'])[year > 0 and 2 or 1] or ''

end

local function strftime(date, format, options)

-- Return date formatted as a string using codes similar to those

-- in the C strftime library function.

local sformat = string.format

local shortcuts = {

['%c'] = '%-I:%M %p %-d %B %-Y %{era}', -- date and time: 2:30 pm 1 April 2016

['%x'] = '%-d %B %-Y %{era}', -- date: 1 April 2016

['%X'] = '%-I:%M %p', -- time: 2:30 pm

}

if shortcuts[format] then

format = shortcuts[format]

end

local codes = {

a = { field = 'dayabbr' },

A = { field = 'dayname' },

b = { field = 'monthabbr' },

B = { field = 'monthname' },

u = { fmt = '%d' , field = 'dowiso' },

w = { fmt = '%d' , field = 'dow' },

d = { fmt = '%02d', fmt2 = '%d', field = 'day' },

m = { fmt = '%02d', fmt2 = '%d', field = 'month' },

Y = { fmt = '%04d', fmt2 = '%d', field = 'year' },

H = { fmt = '%02d', fmt2 = '%d', field = 'hour' },

M = { fmt = '%02d', fmt2 = '%d', field = 'minute' },

S = { fmt = '%02d', fmt2 = '%d', field = 'second' },

j = { fmt = '%03d', fmt2 = '%d', field = 'dayofyear' },

I = { fmt = '%02d', fmt2 = '%d', field = 'hour', special = 'hour12' },

p = { field = 'hour', special = 'am' },

}

options = make_option_table(options, date.options)

local amopt = options.am

local eraopt = options.era

local function replace_code(spaces, modifier, id)

local code = codes[id]

if code then

local fmt = code.fmt

if modifier == '-' and code.fmt2 then

fmt = code.fmt2

end

local value = date[code.field]

if not value then

return nil -- an undefined field in a partial date

end

local special = code.special

if special then

if special == 'hour12' then

value = value % 12

value = value == 0 and 12 or value

elseif special == 'am' then

local ap = ({

['a.m.'] = { 'a.m.', 'p.m.' },

['AM'] = { 'AM', 'PM' },

['A.M.'] = { 'A.M.', 'P.M.' },

})[ampm_options[amopt]] or { 'am', 'pm' }

return (spaces == and or ' ') .. (value < 12 and ap[1] or ap[2])

end

end

if code.field == 'year' then

local sign = (era_text[eraopt] or {}).sign

if not sign or format:find('%{era}', 1, true) then

sign = ''

if value <= 0 then

value = 1 - value

end

else

if value >= 0 then

sign = ''

else

value = -value

end

end

return spaces .. sign .. sformat(fmt, value)

end

return spaces .. (fmt and sformat(fmt, value) or value)

end

end

local function replace_property(spaces, id)

if id == 'era' then

-- Special case so can use local era option.

local result = get_era_for_year(eraopt, date.year)

if result == '' then

return ''

end

return (spaces == and or ' ') .. result

end

local result = date[id]

if type(result) == 'string' then

return spaces .. result

end

if type(result) == 'number' then

return spaces .. tostring(result)

end

if type(result) == 'boolean' then

return spaces .. (result and '1' or '0')

end

-- This occurs if id is an undefined field in a partial date, or is the name of a function.

return nil

end

local PERCENT = '\127PERCENT\127'

return (format

:gsub('%%%%', PERCENT)

:gsub('(%s*)%%{(%w+)}', replace_property)

:gsub('(%s*)%%(%-?)(%a)', replace_code)

:gsub(PERCENT, '%%')

)

end

local function _date_text(date, fmt, options)

-- Return a formatted string representing the given date.

if not is_date(date) then

error('date:text: need a date (use "date:text()" with a colon)', 2)

end

if type(fmt) == 'string' and fmt:match('%S') then

if fmt:find('%', 1, true) then

return strftime(date, fmt, options)

end

elseif date.partial then

fmt = date.month and 'my' or 'y'

else

fmt = 'dmy'

if date.hastime then

fmt = (date.second > 0 and 'hms ' or 'hm ') .. fmt

end

end

local function bad_format()

-- For consistency with other format processing, return given format

-- (or cleaned format if original was not a string) if invalid.

return mw.text.nowiki(fmt)

end

if date.partial then

-- Ignore days in standard formats like 'ymd'.

if fmt == 'ym' or fmt == 'ymd' then

fmt = date.month and '%Y-%m %{era}' or '%Y %{era}'

elseif fmt == 'my' or fmt == 'dmy' or fmt == 'mdy' then

fmt = date.month and '%B %-Y %{era}' or '%-Y %{era}'

elseif fmt == 'y' then

fmt = date.month and '%-Y %{era}' or '%-Y %{era}'

else

return bad_format()

end

return strftime(date, fmt, options)

end

local function hm_fmt()

local plain = make_option_table(options, date.options).bydefault.am

return plain and '%H:%M' or '%-I:%M %p'

end

local need_time = date.hastime

local t = collection()

for item in fmt:gmatch('%S+') do

local f

if item == 'hm' then

f = hm_fmt()

need_time = false

elseif item == 'hms' then

f = '%H:%M:%S'

need_time = false

elseif item == 'ymd' then

f = '%Y-%m-%d %{era}'

elseif item == 'mdy' then

f = '%B %-d, %-Y %{era}'

elseif item == 'dmy' then

f = '%-d %B %-Y %{era}'

else

return bad_format()

end

t:add(f)

end

fmt = t:join(' ')

if need_time then

fmt = hm_fmt() .. ' ' .. fmt

end

return strftime(date, fmt, options)

end

local day_info = {

-- 0=Sun to 6=Sat

[0] = { 'Sun', 'Sunday' },

{ 'Mon', 'Monday' },

{ 'Tue', 'Tuesday' },

{ 'Wed', 'Wednesday' },

{ 'Thu', 'Thursday' },

{ 'Fri', 'Friday' },

{ 'Sat', 'Saturday' },

}

local month_info = {

-- 1=Jan to 12=Dec

{ 'Jan', 'January' },

{ 'Feb', 'February' },

{ 'Mar', 'March' },

{ 'Apr', 'April' },

{ 'May', 'May' },

{ 'Jun', 'June' },

{ 'Jul', 'July' },

{ 'Aug', 'August' },

{ 'Sep', 'September' },

{ 'Oct', 'October' },

{ 'Nov', 'November' },

{ 'Dec', 'December' },

}

local function name_to_number(text, translate)

if type(text) == 'string' then

return translate[text:lower()]

end

end

local function day_number(text)

return name_to_number(text, {

sun = 0, sunday = 0,

mon = 1, monday = 1,

tue = 2, tuesday = 2,

wed = 3, wednesday = 3,

thu = 4, thursday = 4,

fri = 5, friday = 5,

sat = 6, saturday = 6,

})

end

local function month_number(text)

return name_to_number(text, {

jan = 1, january = 1,

feb = 2, february = 2,

mar = 3, march = 3,

apr = 4, april = 4,

may = 5,

jun = 6, june = 6,

jul = 7, july = 7,

aug = 8, august = 8,

sep = 9, september = 9, sept = 9,

oct = 10, october = 10,

nov = 11, november = 11,

dec = 12, december = 12,

})

end

local function _list_text(list, fmt)

-- Return a list of formatted strings from a list of dates.

if not type(list) == 'table' then

error('date:list:text: need "list:text()" with a colon', 2)

end

local result = { join = _list_join }

for i, date in ipairs(list) do

result[i] = date:text(fmt)

end

return result

end

local function _date_list(date, spec)

-- Return a possibly empty numbered table of dates meeting the specification.

-- Dates in the list are in ascending order (oldest date first).

-- The spec should be a string of form " "

-- where each item is optional and

-- count = number of items wanted in list

-- day = abbreviation or name such as Mon or Monday

-- op = >, >=, <, <= (default is > meaning after date)

-- If no count is given, the list is for the specified days in date's month.

-- The default day is date's day.

-- The spec can also be a positive or negative number:

-- -5 is equivalent to '5 <'

-- 5 is equivalent to '5' which is '5 >'

if not is_date(date) then

error('date:list: need a date (use "date:list()" with a colon)', 2)

end

local list = { text = _list_text }

if date.partial then

return list

end

local count, offset, operation

local ops = {

['>='] = { before = false, include = true },

['>'] = { before = false, include = false },

['<='] = { before = true , include = true },

['<'] = { before = true , include = false },

}

if spec then

if type(spec) == 'number' then

count = floor(spec + 0.5)

if count < 0 then

count = -count

operation = ops['<']

end

elseif type(spec) == 'string' then

local num, day, op = spec:match('^%s*(%d*)%s*(%a*)%s*([<>=]*)%s*$')

if not num then

return list

end

if num ~= '' then

count = tonumber(num)

end

if day ~= '' then

local dow = day_number(day:gsub('[sS]$', '')) -- accept plural days

if not dow then

return list

end

offset = dow - date.dow

end

operation = ops[op]

else

return list

end

end

offset = offset or 0

operation = operation or ops['>']

local datefrom, dayfirst, daylast

if operation.before then

if offset > 0 or (offset == 0 and not operation.include) then

offset = offset - 7

end

if count then

if count > 1 then

offset = offset - 7*(count - 1)

end

datefrom = date + offset

else

daylast = date.day + offset

dayfirst = daylast % 7

if dayfirst == 0 then

dayfirst = 7

end

end

else

if offset < 0 or (offset == 0 and not operation.include) then

offset = offset + 7

end

if count then

datefrom = date + offset

else

dayfirst = date.day + offset

daylast = date.monthdays

end

end

if not count then

if daylast < dayfirst then

return list

end

count = floor((daylast - dayfirst)/7) + 1

datefrom = Date(date, {day = dayfirst})

end

for i = 1, count do

if not datefrom then break end -- exceeds date limits

list[i] = datefrom

datefrom = datefrom + 7

end

return list

end

-- A table to get the current date/time (UTC), but only if needed.

local current = setmetatable({}, {

__index = function (self, key)

local d = os.date('!*t')

self.year = d.year

self.month = d.month

self.day = d.day

self.hour = d.hour

self.minute = d.min

self.second = d.sec

return rawget(self, key)

end })

local function extract_date(newdate, text)

-- Parse the date/time in text and return n, o where

-- n = table of numbers with date/time fields

-- o = table of options for AM/PM or AD/BC or format, if any

-- or return nothing if date is known to be invalid.

-- Caller determines if the values in n are valid.

-- A year must be positive ('1' to '9999'); use 'BC' for BC.

-- In a y-m-d string, the year must be four digits to avoid ambiguity

-- ('0001' to '9999'). The only way to enter year <= 0 is by specifying

-- the date as three numeric parameters like ymd Date(-1, 1, 1).

-- Dates of form d/m/y, m/d/y, y/m/d are rejected as potentially ambiguous.

local date, options = {}, {}

if text:sub(-1) == 'Z' then

-- Extract date/time from a Wikidata timestamp.

-- The year can be 1 to 16 digits but this module handles 1 to 4 digits only.

-- Examples: '+2016-06-21T14:30:00Z', '-0000000180-00-00T00:00:00Z'.

local sign, y, m, d, H, M, S = text:match('^([+%-])(%d+)%-(%d%d)%-(%d%d)T(%d%d):(%d%d):(%d%d)Z$')

if sign then

y = tonumber(y)

if sign == '-' and y > 0 then

y = -y

end

if y <= 0 then

options.era = 'BCE'

end

date.year = y

m = tonumber(m)

d = tonumber(d)

H = tonumber(H)

M = tonumber(M)

S = tonumber(S)

if m == 0 then

newdate.partial = true

return date, options

end

date.month = m

if d == 0 then

newdate.partial = true

return date, options

end

date.day = d

if H > 0 or M > 0 or S > 0 then

date.hour = H

date.minute = M

date.second = S

end

return date, options

end

return

end

local function extract_ymd(item)

-- Called when no day or month has been set.

local y, m, d = item:match('^(%d%d%d%d)%-(%w+)%-(%d%d?)$')

if y then

if date.year then

return

end

if m:match('^%d%d?$') then

m = tonumber(m)

else

m = month_number(m)

end

if m then

date.year = tonumber(y)

date.month = m

date.day = tonumber(d)

return true

end

end

end

local function extract_day_or_year(item)

-- Called when a day would be valid, or

-- when a year would be valid if no year has been set and partial is set.

local number, suffix = item:match('^(%d%d?%d?%d?)(.*)$')

if number then

local n = tonumber(number)

if #number <= 2 and n <= 31 then

suffix = suffix:lower()

if suffix == '' or suffix == 'st' or suffix == 'nd' or suffix == 'rd' or suffix == 'th' then

date.day = n

return true

end

elseif suffix == '' and newdate.partial and not date.year then

date.year = n

return true

end

end

end

local function extract_month(item)

-- A month must be given as a name or abbreviation; a number could be ambiguous.

local m = month_number(item)

if m then

date.month = m

return true

end

end

local function extract_time(item)

local h, m, s = item:match('^(%d%d?):(%d%d)(:?%d*)$')

if date.hour or not h then

return

end

if s ~= '' then

s = s:match('^:(%d%d)$')

if not s then

return

end

end

date.hour = tonumber(h)

date.minute = tonumber(m)

date.second = tonumber(s) -- nil if empty string

return true

end

local item_count = 0

local index_time

local function set_ampm(item)

local H = date.hour

if H and not options.am and index_time + 1 == item_count then

options.am = ampm_options[item] -- caller checked this is not nil

if item:match('^[Aa]') then

if not (1 <= H and H <= 12) then

return

end

if H == 12 then

date.hour = 0

end

else

if not (1 <= H and H <= 23) then

return

end

if H <= 11 then

date.hour = H + 12

end

end

return true

end

end

for item in text:gsub(',', ' '):gsub(' ', ' '):gmatch('%S+') do

item_count = item_count + 1

if era_text[item] then

-- Era is accepted in peculiar places.

if options.era then

return

end

options.era = item

elseif ampm_options[item] then

if not set_ampm(item) then

return

end

elseif item:find(':', 1, true) then

if not extract_time(item) then

return

end

index_time = item_count

elseif date.day and date.month then

if date.year then

return -- should be nothing more so item is invalid

end

if not item:match('^(%d%d?%d?%d?)$') then

return

end

date.year = tonumber(item)

elseif date.day then

if not extract_month(item) then

return

end

elseif date.month then

if not extract_day_or_year(item) then

return

end

elseif extract_month(item) then

options.format = 'mdy'

elseif extract_ymd(item) then

options.format = 'ymd'

elseif extract_day_or_year(item) then

if date.day then

options.format = 'dmy'

end

else

return

end

end

if not date.year or date.year == 0 then

return

end

local era = era_text[options.era]

if era and era.isbc then

date.year = 1 - date.year

end

return date, options

end

local function autofill(date1, date2)

-- Fill any missing month or day in each date using the

-- corresponding component from the other date, if present,

-- or with 1 if both dates are missing the month or day.

-- This gives a good result for calculating the difference

-- between two partial dates when no range is wanted.

-- Return filled date1, date2 (two full dates).

local function filled(a, b)

-- Return date a filled, if necessary, with month and/or day from date b.

-- The filled day is truncated to fit the number of days in the month.

local fillmonth, fillday

if not a.month then

fillmonth = b.month or 1

end

if not a.day then

fillday = b.day or 1

end

if fillmonth or fillday then -- need to create a new date

a = Date(a, {

month = fillmonth,

day = math.min(fillday or a.day, days_in_month(a.year, fillmonth or a.month, a.calendar))

})

end

return a

end

return filled(date1, date2), filled(date2, date1)

end

local function date_add_sub(lhs, rhs, is_sub)

-- Return a new date from calculating (lhs + rhs) or (lhs - rhs),

-- or return nothing if invalid.

-- The result is nil if the calculated date exceeds allowable limits.

-- Caller ensures that lhs is a date; its properties are copied for the new date.

if lhs.partial then

-- Adding to a partial is not supported.

-- Can subtract a date or partial from a partial, but this is not called for that.

return

end

local function is_prefix(text, word, minlen)

local n = #text

return (minlen or 1) <= n and n <= #word and text == word:sub(1, n)

end

local function do_days(n)

local forcetime, jd

if floor(n) == n then

jd = lhs.jd

else

forcetime = not lhs.hastime

jd = lhs.jdz

end

jd = jd + (is_sub and -n or n)

if forcetime then

jd = tostring(jd)

if not jd:find('.', 1, true) then

jd = jd .. '.0'

end

end

return Date(lhs, 'juliandate', jd)

end

if type(rhs) == 'number' then

-- Add/subtract days, including fractional days.

return do_days(rhs)

end

if type(rhs) == 'string' then

-- rhs is a single component like '26m' or '26 months' (with optional sign).

-- Fractions like '3.25d' are accepted for the units which are handled as days.

local sign, numstr, id = rhs:match('^%s*([+-]?)([%d%.]+)%s*(%a+)$')

if sign then

if sign == '-' then

is_sub = not (is_sub and true or false)

end

local y, m, days

local num = tonumber(numstr)

if not num then

return

end

id = id:lower()

if is_prefix(id, 'years') then

y = num

m = 0

elseif is_prefix(id, 'months') then

y = floor(num / 12)

m = num % 12

elseif is_prefix(id, 'weeks') then

days = num * 7

elseif is_prefix(id, 'days') then

days = num

elseif is_prefix(id, 'hours') then

days = num / 24

elseif is_prefix(id, 'minutes', 3) then

days = num / (24 * 60)

elseif is_prefix(id, 'seconds') then

days = num / (24 * 3600)

else

return

end

if days then

return do_days(days)

end

if numstr:find('.', 1, true) then

return

end

if is_sub then

y = -y

m = -m

end

assert(-11 <= m and m <= 11)

y = lhs.year + y

m = lhs.month + m

if m > 12 then

y = y + 1

m = m - 12

elseif m < 1 then

y = y - 1

m = m + 12

end

local d = math.min(lhs.day, days_in_month(y, m, lhs.calendar))

return Date(lhs, y, m, d)

end

end

if is_diff(rhs) then

local days = rhs.age_days

if (is_sub or false) ~= (rhs.isnegative or false) then

days = -days

end

return lhs + days

end

end

local full_date_only = {

dayabbr = true,

dayname = true,

dow = true,

dayofweek = true,

dowiso = true,

dayofweekiso = true,

dayofyear = true,

gsd = true,

juliandate = true,

jd = true,

jdz = true,

jdnoon = true,

}

-- Metatable for a date's calculated fields.

local datemt = {

__index = function (self, key)

if rawget(self, 'partial') then

if full_date_only[key] then return end

if key == 'monthabbr' or key == 'monthdays' or key == 'monthname' then

if not self.month then return end

end

end

local value

if key == 'dayabbr' then

value = day_info[self.dow][1]

elseif key == 'dayname' then

value = day_info[self.dow][2]

elseif key == 'dow' then

value = (self.jdnoon + 1) % 7 -- day-of-week 0=Sun to 6=Sat

elseif key == 'dayofweek' then

value = self.dow

elseif key == 'dowiso' then

value = (self.jdnoon % 7) + 1 -- ISO day-of-week 1=Mon to 7=Sun

elseif key == 'dayofweekiso' then

value = self.dowiso

elseif key == 'dayofyear' then

local first = Date(self.year, 1, 1, self.calendar).jdnoon

value = self.jdnoon - first + 1 -- day-of-year 1 to 366

elseif key == 'era' then

-- Era text (never a negative sign) from year and options.

value = get_era_for_year(self.options.era, self.year)

elseif key == 'format' then

value = self.options.format or 'dmy'

elseif key == 'gsd' then

-- GSD = 1 from 00:00:00 to 23:59:59 on 1 January 1 AD Gregorian calendar,

-- which is from jd 1721425.5 to 1721426.49999.

value = floor(self.jd - 1721424.5)

elseif key == 'juliandate' or key == 'jd' or key == 'jdz' then

local jd, jdz = julian_date(self)

rawset(self, 'juliandate', jd)

rawset(self, 'jd', jd)

rawset(self, 'jdz', jdz)

return key == 'jdz' and jdz or jd

elseif key == 'jdnoon' then

-- Julian date at noon (an integer) on the calendar day when jd occurs.

value = floor(self.jd + 0.5)

elseif key == 'isleapyear' then

value = is_leap_year(self.year, self.calendar)

elseif key == 'monthabbr' then

value = month_info[self.month][1]

elseif key == 'monthdays' then

value = days_in_month(self.year, self.month, self.calendar)

elseif key == 'monthname' then

value = month_info[self.month][2]

end

if value ~= nil then

rawset(self, key, value)

return value

end

end,

}

-- Date operators.

local function mt_date_add(lhs, rhs)

if not is_date(lhs) then

lhs, rhs = rhs, lhs -- put date on left (it must be a date for this to have been called)

end

return date_add_sub(lhs, rhs)

end

local function mt_date_sub(lhs, rhs)

if is_date(lhs) then

if is_date(rhs) then

return DateDiff(lhs, rhs)

end

return date_add_sub(lhs, rhs, true)

end

end

local function mt_date_concat(lhs, rhs)

return tostring(lhs) .. tostring(rhs)

end

local function mt_date_tostring(self)

return self:text()

end

local function mt_date_eq(lhs, rhs)

-- Return true if dates identify same date/time where, for example,

-- Date(-4712, 1, 1, 'Julian') == Date(-4713, 11, 24, 'Gregorian') is true.

-- This is called only if lhs and rhs have the same type and the same metamethod.

if lhs.partial or rhs.partial then

-- One date is partial; the other is a partial or a full date.

-- The months may both be nil, but must be the same.

return lhs.year == rhs.year and lhs.month == rhs.month and lhs.calendar == rhs.calendar

end

return lhs.jdz == rhs.jdz

end

local function mt_date_lt(lhs, rhs)

-- Return true if lhs < rhs, for example,

-- Date('1 Jan 2016') < Date('06:00 1 Jan 2016') is true.

-- This is called only if lhs and rhs have the same type and the same metamethod.

if lhs.partial or rhs.partial then

-- One date is partial; the other is a partial or a full date.

if lhs.calendar ~= rhs.calendar then

return lhs.calendar == 'Julian'

end

if lhs.partial then

lhs = lhs.partial.first

end

if rhs.partial then

rhs = rhs.partial.first

end

end

return lhs.jdz < rhs.jdz

end

--[[ Examples of syntax to construct a date:

Date(y, m, d, 'julian') default calendar is 'gregorian'

Date(y, m, d, H, M, S, 'julian')

Date('juliandate', jd, 'julian') if jd contains "." text output includes H:M:S

Date('currentdate')

Date('currentdatetime')

Date('1 April 1995', 'julian') parse date from text

Date('1 April 1995 AD', 'julian') using an era sets a flag to do the same for output

Date('04:30:59 1 April 1995', 'julian')

Date(date) copy of an existing date

Date(date, t) same, updated with y,m,d,H,M,S fields from table t

Date(t) date with y,m,d,H,M,S fields from table t

]]

function Date(...) -- for forward declaration above

-- Return a table holding a date assuming a uniform calendar always applies

-- (proleptic Gregorian calendar or proleptic Julian calendar), or

-- return nothing if date is invalid.

-- A partial date has a valid year, however its month may be nil, and

-- its day and time fields are nil.

-- Field partial is set to false (if a full date) or a table (if a partial date).

local calendars = { julian = 'Julian', gregorian = 'Gregorian' }

local newdate = {

_id = uniq,

calendar = 'Gregorian', -- default is Gregorian calendar

hastime = false, -- true if input sets a time

hour = 0, -- always set hour/minute/second so don't have to handle nil

minute = 0,

second = 0,

options = {},

list = _date_list,

subtract = function (self, rhs, options)

return DateDiff(self, rhs, options)

end,

text = _date_text,

}

local argtype, datetext, is_copy, jd_number, tnums

local numindex = 0

local numfields = { 'year', 'month', 'day', 'hour', 'minute', 'second' }

local numbers = {}

for _, v in ipairs({...}) do

v = strip_to_nil(v)

local vlower = type(v) == 'string' and v:lower() or nil

if v == nil then

-- Ignore empty arguments after stripping so modules can directly pass template parameters.

elseif calendars[vlower] then

newdate.calendar = calendars[vlower]

elseif vlower == 'partial' then

newdate.partial = true

elseif vlower == 'fix' then

newdate.want_fix = true

elseif is_date(v) then

-- Copy existing date (items can be overridden by other arguments).

if is_copy or tnums then

return

end

is_copy = true

newdate.calendar = v.calendar

newdate.partial = v.partial

newdate.hastime = v.hastime

newdate.options = v.options

newdate.year = v.year

newdate.month = v.month

newdate.day = v.day

newdate.hour = v.hour

newdate.minute = v.minute

newdate.second = v.second

elseif type(v) == 'table' then

if tnums then

return

end

tnums = {}

local tfields = { year=1, month=1, day=1, hour=2, minute=2, second=2 }

for tk, tv in pairs(v) do

if tfields[tk] then

tnums[tk] = tonumber(tv)

end

if tfields[tk] == 2 then

newdate.hastime = true

end

end

else

local num = tonumber(v)

if not num and argtype == 'setdate' and numindex == 1 then

num = month_number(v)

end

if num then

if not argtype then

argtype = 'setdate'

end

if argtype == 'setdate' and numindex < 6 then

numindex = numindex + 1

numbers[numfields[numindex]] = num

elseif argtype == 'juliandate' and not jd_number then

jd_number = num

if type(v) == 'string' then

if v:find('.', 1, true) then

newdate.hastime = true

end

elseif num ~= floor(num) then

-- The given value was a number. The time will be used

-- if the fractional part is nonzero.

newdate.hastime = true

end

else

return

end

elseif argtype then

return

elseif type(v) == 'string' then

if v == 'currentdate' or v == 'currentdatetime' or v == 'juliandate' then

argtype = v

else

argtype = 'datetext'

datetext = v

end

else

return

end

end

end

if argtype == 'datetext' then

if tnums or not set_date_from_numbers(newdate, extract_date(newdate, datetext)) then

return

end

elseif argtype == 'juliandate' then

newdate.partial = nil

newdate.jd = jd_number

if not set_date_from_jd(newdate) then

return

end

elseif argtype == 'currentdate' or argtype == 'currentdatetime' then

newdate.partial = nil

newdate.year = current.year

newdate.month = current.month

newdate.day = current.day

if argtype == 'currentdatetime' then

newdate.hour = current.hour

newdate.minute = current.minute

newdate.second = current.second

newdate.hastime = true

end

newdate.calendar = 'Gregorian' -- ignore any given calendar name

elseif argtype == 'setdate' then

if tnums or not set_date_from_numbers(newdate, numbers) then

return

end

elseif not (is_copy or tnums) then

return

end

if tnums then

newdate.jd = nil -- force recalculation in case jd was set before changes from tnums

if not set_date_from_numbers(newdate, tnums) then

return

end

end

if newdate.partial then

local year = newdate.year

local month = newdate.month

local first = Date(year, month or 1, 1, newdate.calendar)

month = month or 12

local last = Date(year, month, days_in_month(year, month), newdate.calendar)

newdate.partial = { first = first, last = last }

else

newdate.partial = false -- avoid index lookup

end

setmetatable(newdate, datemt)

local readonly = {}

local mt = {

__index = newdate,

__newindex = function(t, k, v) error('date.' .. tostring(k) .. ' is read-only', 2) end,

__add = mt_date_add,

__sub = mt_date_sub,

__concat = mt_date_concat,

__tostring = mt_date_tostring,

__eq = mt_date_eq,

__lt = mt_date_lt,

}

return setmetatable(readonly, mt)

end

local function _diff_age(diff, code, options)

-- Return a tuple of integer values from diff as specified by code, except that

-- each integer may be a list of two integers for a diff with a partial date, or

-- return nil if the code is not supported.

-- If want round, the least significant unit is rounded to nearest whole unit.

-- For a duration, an extra day is added.

local wantround, wantduration, wantrange

if type(options) == 'table' then

wantround = options.round

wantduration = options.duration

wantrange = options.range

else

wantround = options

end

if not is_diff(diff) then

local f = wantduration and 'duration' or 'age'

error(f .. ': need a date difference (use "diff:' .. f .. '()" with a colon)', 2)

end

if diff.partial then

-- Ignore wantround, wantduration.

local function choose(v)

if type(v) == 'table' then

if not wantrange or v[1] == v[2] then

-- Example: Date('partial', 2005) - Date('partial', 2001) gives

-- diff.years = { 3, 4 } to show the range of possible results.

-- If do not want a range, choose the second value as more expected.

return v[2]

end

end

return v

end

if code == 'ym' or code == 'ymd' then

if not wantrange and diff.iszero then

-- This avoids an unexpected result such as

-- Date('partial', 2001) - Date('partial', 2001)

-- giving diff = { years = 0, months = { 0, 11 } }

-- which would be reported as 0 years and 11 months.

return 0, 0

end

return choose(diff.partial.years), choose(diff.partial.months)

end

if code == 'y' then

return choose(diff.partial.years)

end

if code == 'm' or code == 'w' or code == 'd' then

return choose({ diff.partial.mindiff:age(code), diff.partial.maxdiff:age(code) })

end

return nil

end

local extra_days = wantduration and 1 or 0

if code == 'wd' or code == 'w' or code == 'd' then

local offset = wantround and 0.5 or 0

local days = diff.age_days + extra_days

if code == 'wd' or code == 'd' then

days = floor(days + offset)

if code == 'd' then

return days

end

return floor(days/7), days % 7

end

return floor(days/7 + offset)

end

local H, M, S = diff.hours, diff.minutes, diff.seconds

if code == 'dh' or code == 'dhm' or code == 'dhms' or code == 'h' or code == 'hm' or code == 'hms' or code == 'M' or code == 's' then

local days = floor(diff.age_days + extra_days)

local inc_hour

if wantround then

if code == 'dh' or code == 'h' then

if M >= 30 then

inc_hour = true

end

elseif code == 'dhm' or code == 'hm' then

if S >= 30 then

M = M + 1

if M >= 60 then

M = 0

inc_hour = true

end

end

elseif code == 'M' then

if S >= 30 then

M = M + 1

end

else

-- Nothing needed because S is an integer.

end

if inc_hour then

H = H + 1

if H >= 24 then

H = 0

days = days + 1

end

end

end

if code == 'dh' or code == 'dhm' or code == 'dhms' then

if code == 'dh' then

return days, H

elseif code == 'dhm' then

return days, H, M

else

return days, H, M, S

end

end

local hours = days * 24 + H

if code == 'h' then

return hours

elseif code == 'hm' then

return hours, M

elseif code == 'M' or code == 's' then

M = hours * 60 + M

if code == 'M' then

return M

end

return M * 60 + S

end

return hours, M, S

end

if wantround then

local inc_hour

if code == 'ymdh' or code == 'ymwdh' then

if M >= 30 then

inc_hour = true

end

elseif code == 'ymdhm' or code == 'ymwdhm' then

if S >= 30 then

M = M + 1

if M >= 60 then

M = 0

inc_hour = true

end

end

elseif code == 'ymd' or code == 'ymwd' or code == 'yd' or code == 'md' then

if H >= 12 then

extra_days = extra_days + 1

end

end

if inc_hour then

H = H + 1

if H >= 24 then

H = 0

extra_days = extra_days + 1

end

end

end

local y, m, d = diff.years, diff.months, diff.days

if extra_days > 0 then

d = d + extra_days

if d > 28 or code == 'yd' then

-- Recalculate in case have passed a month.

diff = diff.date1 + extra_days - diff.date2

y, m, d = diff.years, diff.months, diff.days

end

end

if code == 'ymd' then

return y, m, d

elseif code == 'yd' then

if y > 0 then

-- It is known that diff.date1 > diff.date2.

diff = diff.date1 - (diff.date2 + (y .. 'y'))

end

return y, floor(diff.age_days)

elseif code == 'md' then

return y * 12 + m, d

elseif code == 'ym' or code == 'm' then

if wantround then

if d >= 16 then

m = m + 1

if m >= 12 then

m = 0

y = y + 1

end

end

end

if code == 'ym' then

return y, m

end

return y * 12 + m

elseif code == 'ymw' then

local weeks = floor(d/7)

if wantround then

local days = d % 7

if days > 3 or (days == 3 and H >= 12) then

weeks = weeks + 1

end

end

return y, m, weeks

elseif code == 'ymwd' then

return y, m, floor(d/7), d % 7

elseif code == 'ymdh' then

return y, m, d, H

elseif code == 'ymwdh' then

return y, m, floor(d/7), d % 7, H

elseif code == 'ymdhm' then

return y, m, d, H, M

elseif code == 'ymwdhm' then

return y, m, floor(d/7), d % 7, H, M

end

if code == 'y' then

if wantround and m >= 6 then

y = y + 1

end

return y

end

return nil

end

local function _diff_duration(diff, code, options)

if type(options) ~= 'table' then

options = { round = options }

end

options.duration = true

return _diff_age(diff, code, options)

end

-- Metatable for some operations on date differences.

diffmt = { -- for forward declaration above

__concat = function (lhs, rhs)

return tostring(lhs) .. tostring(rhs)

end,

__tostring = function (self)

return tostring(self.age_days)

end,

__index = function (self, key)

local value

if key == 'age_days' then

if rawget(self, 'partial') then

local function jdz(date)

return (date.partial and date.partial.first or date).jdz

end

value = jdz(self.date1) - jdz(self.date2)

else

value = self.date1.jdz - self.date2.jdz

end

end

if value ~= nil then

rawset(self, key, value)

return value

end

end,

}

function DateDiff(date1, date2, options) -- for forward declaration above

-- Return a table with the difference between two dates (date1 - date2).

-- The difference is negative if date1 is older than date2.

-- Return nothing if invalid.

-- If d = date1 - date2 then

-- date1 = date2 + d

-- If date1 >= date2 and the dates have no H:M:S time specified then

-- date1 = date2 + (d.years..'y') + (d.months..'m') + d.days

-- where the larger time units are added first.

-- The result of Date(2015,1,x) + '1m' is Date(2015,2,28) for

-- x = 28, 29, 30, 31. That means, for example,

-- d = Date(2015,3,3) - Date(2015,1,31)

-- gives d.years, d.months, d.days = 0, 1, 3 (excluding date1).

if not (is_date(date1) and is_date(date2) and date1.calendar == date2.calendar) then

return

end

local wantfill

if type(options) == 'table' then

wantfill = options.fill

end

local isnegative = false

local iszero = false

if date1 < date2 then

isnegative = true

date1, date2 = date2, date1

elseif date1 == date2 then

iszero = true

end

-- It is known that date1 >= date2 (period is from date2 to date1).

if date1.partial or date2.partial then

-- Two partial dates might have timelines:

---------------------A=================B--- date1 is from A to B inclusive

--------C=======D-------------------------- date2 is from C to D inclusive

-- date1 > date2 iff A > C (date1.partial.first > date2.partial.first)

-- The periods can overlap ('April 2001' - '2001'):

-------------A===B------------------------- A=2001-04-01 B=2001-04-30

--------C=====================D------------ C=2001-01-01 D=2001-12-31

if wantfill then

date1, date2 = autofill(date1, date2)

else

local function zdiff(date1, date2)

local diff = date1 - date2

if diff.isnegative then

return date1 - date1 -- a valid diff in case we call its methods

end

return diff

end

local function getdate(date, which)

return date.partial and date.partial[which] or date

end

local maxdiff = zdiff(getdate(date1, 'last'), getdate(date2, 'first'))

local mindiff = zdiff(getdate(date1, 'first'), getdate(date2, 'last'))

local years, months

if maxdiff.years == mindiff.years then

years = maxdiff.years

if maxdiff.months == mindiff.months then

months = maxdiff.months

else

months = { mindiff.months, maxdiff.months }

end

else

years = { mindiff.years, maxdiff.years }

end

return setmetatable({

date1 = date1,

date2 = date2,

partial = {

years = years,

months = months,

maxdiff = maxdiff,

mindiff = mindiff,

},

isnegative = isnegative,

iszero = iszero,

age = _diff_age,

duration = _diff_duration,

}, diffmt)

end

end

local y1, m1 = date1.year, date1.month

local y2, m2 = date2.year, date2.month

local years = y1 - y2

local months = m1 - m2

local d1 = date1.day + hms(date1)

local d2 = date2.day + hms(date2)

local days, time

if d1 >= d2 then

days = d1 - d2

else

months = months - 1

-- Get days in previous month (before the "to" date) given December has 31 days.

local dpm = m1 > 1 and days_in_month(y1, m1 - 1, date1.calendar) or 31

if d2 >= dpm then

days = d1 - hms(date2)

else

days = dpm - d2 + d1

end

end

if months < 0 then

years = years - 1

months = months + 12

end

days, time = math.modf(days)

local H, M, S = h_m_s(time)

return setmetatable({

date1 = date1,

date2 = date2,

partial = false, -- avoid index lookup

years = years,

months = months,

days = days,

hours = H,

minutes = M,

seconds = S,

isnegative = isnegative,

iszero = iszero,

age = _diff_age,

duration = _diff_duration,

}, diffmt)

end

return {

_current = current,

_Date = Date,

_days_in_month = days_in_month,

}