    module Data.Time.Calendar.MonthDay
    	(
    	monthAndDayToDayOfYear,monthAndDayToDayOfYearValid,dayOfYearToMonthAndDay,monthLength
    	) where

    import Data.Time.Calendar.Private

    -- | convert month and day in the Gregorian or Julian calendars to day of year.
    -- First arg is leap year flag
    monthAndDayToDayOfYear :: Bool -> Int -> Int -> Int
    monthAndDayToDayOfYear isLeap month day = (div (367 * month'' - 362) 12) + k + day' where
    	month' = clip 1 12 month
    	day' = fromIntegral (clip 1 (monthLength' isLeap month') day)
    	month'' = fromIntegral month'
    	k = if month' <= 2 then 0 else if isLeap then -1 else -2

    -- | convert month and day in the Gregorian or Julian calendars to day of year.
    -- First arg is leap year flag
    monthAndDayToDayOfYearValid :: Bool -> Int -> Int -> Maybe Int
    monthAndDayToDayOfYearValid isLeap month day = do
    	month' <- clipValid 1 12 month
    	day' <- clipValid 1 (monthLength' isLeap month') day
    	let
    		day'' = fromIntegral day'
    		month'' = fromIntegral month'
    		k = if month' <= 2 then 0 else if isLeap then -1 else -2
    	return ((div (367 * month'' - 362) 12) + k + day'')

    -- | convert day of year in the Gregorian or Julian calendars to month and day.
    -- First arg is leap year flag
    dayOfYearToMonthAndDay :: Bool -> Int -> (Int,Int)
    dayOfYearToMonthAndDay isLeap yd = findMonthDay (monthLengths isLeap) (clip 1 (if isLeap then 366 else 365) yd)

    findMonthDay :: [Int] -> Int -> (Int,Int)
    findMonthDay (n:ns) yd | yd > n = (\(m,d) -> (m + 1,d)) (findMonthDay ns (yd - n))
    findMonthDay _ yd = (1,yd)

    -- | the length of a given month in the Gregorian or Julian calendars.
    -- First arg is leap year flag
    monthLength :: Bool -> Int -> Int
    monthLength isLeap month' = monthLength' isLeap (clip 1 12 month')

    monthLength' :: Bool -> Int -> Int
    monthLength' isLeap month' = (monthLengths isLeap) !! (month' - 1)

    monthLengths :: Bool -> [Int]
    monthLengths isleap =
    	[31,if isleap then 29 else 28,31,30,31,30,31,31,30,31,30,31]
    	--J        F                   M  A  M  J  J  A  S  O  N  D