```{-# OPTIONS -Wall -Werror #-}

-- | ISO 8601 Week Date format
module Data.Time.Calendar.WeekDate where

import Data.Time.Calendar.OrdinalDate
import Data.Time.Calendar.Days
import Data.Time.Calendar.Private

-- | convert to ISO 8601 Week Date format. First element of result is year, second week number (1-53), third day of week (1 for Monday to 7 for Sunday).
-- Note that \"Week\" years are not quite the same as Gregorian years, as the first day of the year is always a Monday.
-- The first week of a year is the first week to contain at least four days in the corresponding Gregorian year.
toWeekDate :: Day -> (Integer,Int,Int)
toWeekDate date@(ModifiedJulianDay mjd) = (y1,fromInteger (w1 + 1),fromInteger (mod d 7) + 1) where
(y0,yd) = toOrdinalDate date
d = mjd + 2
foo :: Integer -> Integer
foo y = bar (toModifiedJulianDay (fromOrdinalDate y 6))
bar k = (div d 7) - (div k 7)
w0 = bar (d - (toInteger yd) + 4)
(y1,w1) = if w0 == -1
then (y0 - 1,foo (y0 - 1))
else if w0 == 52
then if (foo (y0 + 1)) == 0
then (y0 + 1,0)
else (y0,w0)
else (y0,w0)

-- | convert from ISO 8601 Week Date format. First argument is year, second week number (1-52 or 53), third day of week (1 for Monday to 7 for Sunday).
-- Invalid week and day values will be clipped to the correct range.
fromWeekDate :: Integer -> Int -> Int -> Day
fromWeekDate y w d = ModifiedJulianDay (k - (mod k 7) + (toInteger (((clip 1 (if longYear then 53 else 52) w) * 7) + (clip 1 7 d))) - 10) where
k = toModifiedJulianDay (fromOrdinalDate y 6)
longYear = case toWeekDate (fromOrdinalDate y 365) of
(_,53,_) -> True
_ -> False

-- | show in ISO 8601 Week Date format as yyyy-Www-dd (e.g. \"2006-W46-3\").
showWeekDate :: Day -> String
showWeekDate date = (show4 y) ++ "-W" ++ (show2 w) ++ "-" ++ (show d) where
(y,w,d) = toWeekDate date
```