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
if (fillmonth or a.month) == 2 and (fillday or a.day) == 29 then
-- Avoid invalid date, for example with or .
if not is_leap_year(a.year, a.calendar) then
fillday = 28
end
end
a = Date(a, { month = fillmonth, day = fillday })
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 (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