local strftime = require "luatz.strftime".strftime
local strformat = string.format
local floor = math.floor
-local function idiv ( n , d )
- return floor ( n / d )
+local idiv do
+ -- Try and use actual integer division when available (Lua 5.3+)
+ local idiv_loader = (loadstring or load)([[return function(n,d) return n//d end]], "idiv") -- luacheck: ignore 113
+ if idiv_loader then
+ idiv = idiv_loader()
+ else
+ idiv = function(n, d)
+ return floor(n/d)
+ end
+ end
end
local sakamoto = {0, 3, 2, 5, 0, 3, 5, 1, 4, 6, 2, 4};
local function is_leap ( y )
- return (y % 4) == 0 and (y % 100) ~= 0 or (y % 400) == 0
-end
-
-local function year_length ( y )
- return is_leap ( y ) and 366 or 365
+ if (y % 4) ~= 0 then
+ return false
+ elseif (y % 100) ~= 0 then
+ return true
+ else
+ return (y % 400) == 0
+ end
end
local function month_length ( m , y )
return ( year + leap_years_since ( year ) + sakamoto[month] + day ) % 7 + 1
end
-local function increment ( tens , units , base )
+local function borrow ( tens , units , base )
+ local frac = tens % 1
+ units = units + frac * base
+ tens = tens - frac
+ return tens , units
+end
+
+local function carry ( tens , units , base )
if units >= base then
tens = tens + idiv ( units , base )
units = units % base
elseif units < 0 then
- tens = tens - 1 + idiv ( -units , base )
- units = base - ( -units % base )
+ tens = tens + idiv ( units , base )
+ units = ( base + units ) % base
end
return tens , units
end
-- Modify parameters so they all fit within the "normal" range
local function normalise ( year , month , day , hour , min , sec )
- min , sec = increment ( min , sec , 60 ) -- TODO: consider leap seconds?
- hour , min = increment ( hour , min , 60 )
- day , hour = increment ( day , hour , 24 )
-
- while day <= 0 do
- year = year - 1
- day = day + year_length ( year )
+ -- `month` and `day` start from 1, need -1 and +1 so it works modulo
+ month , day = month - 1 , day - 1
+
+ -- Convert everything (except seconds) to an integer
+ -- by propagating fractional components down.
+ year , month = borrow ( year , month , 12 )
+ -- Carry from month to year first, so we get month length correct in next line around leap years
+ year , month = carry ( year , month , 12 )
+ month , day = borrow ( month , day , month_length ( floor ( month + 1 ) , year ) )
+ day , hour = borrow ( day , hour , 24 )
+ hour , min = borrow ( hour , min , 60 )
+ min , sec = borrow ( min , sec , 60 )
+
+ -- Propagate out of range values up
+ -- e.g. if `min` is 70, `hour` increments by 1 and `min` becomes 10
+ -- This has to happen for all columns after borrowing, as lower radixes may be pushed out of range
+ min , sec = carry ( min , sec , 60 ) -- TODO: consider leap seconds?
+ hour , min = carry ( hour , min , 60 )
+ day , hour = carry ( day , hour , 24 )
+ -- Ensure `day` is not underflowed
+ -- Add a whole year of days at a time, this is later resolved by adding months
+ -- TODO[OPTIMIZE]: This could be slow if `day` is far out of range
+ while day < 0 do
+ month = month - 1
+ if month < 0 then
+ year = year - 1
+ month = 11
+ end
+ day = day + month_length ( month + 1 , year )
end
+ year , month = carry ( year , month , 12 )
- -- Lua months start from 1, need -1 and +1 around this increment
- month = month - 1
- year , month = increment ( year , month , 12 )
- month = month + 1
-
- -- This could potentially be slow if `day` is very large
+ -- TODO[OPTIMIZE]: This could potentially be slow if `day` is very large
while true do
- local i = month_length ( month , year )
- if day <= i then break end
+ local i = month_length ( month + 1 , year )
+ if day < i then break end
day = day - i
month = month + 1
- if month > 12 then
- month = 1
+ if month >= 12 then
+ month = 0
year = year + 1
end
end
+ -- Now we can place `day` and `month` back in their normal ranges
+ -- e.g. month as 1-12 instead of 0-11
+ month , day = month + 1 , day + 1
+
return year , month , day , hour , min , sec
end
end
function timetable_methods:rfc_3339 ( )
- -- %06.3f gives 3 (=6-3) digits after decimal
- return strformat ( "%04u-%02u-%02uT%02u:%02u:%06.3f" , self:unpack ( ) )
+ local year, month, day, hour, min, fsec = self:unpack()
+ local sec, msec = borrow(fsec, 0, 1000)
+ msec = math.floor(msec)
+ return strformat ( "%04u-%02u-%02uT%02u:%02u:%02d.%03d" , year , month , day , hour , min , sec , msec )
end
function timetable_methods:strftime ( format_string )
end
local function new_from_timestamp ( ts )
- return new_timetable ( 1970 , 1 , 1 , 0 , 0 , ts )
+ if type ( ts ) ~= "number" then
+ error ( "bad argument #1 to 'new_from_timestamp' (number expected, got " .. type ( ts ) .. ")" , 2 )
+ end
+ return new_timetable ( 1970 , 1 , 1 , 0 , 0 , ts ):normalise ( )
end
return {
+ is_leap = is_leap ;
day_of_year = day_of_year ;
day_of_week = day_of_week ;
normalise = normalise ;
projects / etc / awesome.git / blobdiff