    module Data.Time.Calendar.Julian
    (
    	module Data.Time.Calendar.JulianYearDay,

    	toJulian,fromJulian,fromJulianValid,showJulian,julianMonthLength,

    	-- calendrical arithmetic
        -- e.g. "one month after March 31st"
    	addJulianMonthsClip,addJulianMonthsRollOver,
    	addJulianYearsClip,addJulianYearsRollOver
    ) where

    import Data.Time.Calendar.MonthDay
    import Data.Time.Calendar.JulianYearDay
    import Data.Time.Calendar.Days
    import Data.Time.Calendar.Private

    -- | convert to proleptic Julian calendar. First element of result is year, second month number (1-12), third day (1-31).
    toJulian :: Day -> (Integer,Int,Int)
    toJulian date = (year,month,day) where
    	(year,yd) = toJulianYearAndDay date
    	(month,day) = dayOfYearToMonthAndDay (isJulianLeapYear year) yd

    -- | convert from proleptic Julian calendar. First argument is year, second month number (1-12), third day (1-31).
    -- Invalid values will be clipped to the correct range, month first, then day.
    fromJulian :: Integer -> Int -> Int -> Day
    fromJulian year month day = fromJulianYearAndDay year (monthAndDayToDayOfYear (isJulianLeapYear year) month day)

    -- | convert from proleptic Julian calendar. First argument is year, second month number (1-12), third day (1-31).
    -- Invalid values will return Nothing.
    fromJulianValid :: Integer -> Int -> Int -> Maybe Day
    fromJulianValid year month day = do
    	doy <- monthAndDayToDayOfYearValid (isJulianLeapYear year) month day
    	fromJulianYearAndDayValid year doy

    -- | show in ISO 8601 format (yyyy-mm-dd)
    showJulian :: Day -> String
    showJulian date = (show4 (Just '0') y) ++ "-" ++ (show2 (Just '0') m) ++ "-" ++ (show2 (Just '0') d) where
    	(y,m,d) = toJulian date

    -- | The number of days in a given month according to the proleptic Julian calendar. First argument is year, second is month.
    julianMonthLength :: Integer -> Int -> Int
    julianMonthLength year = monthLength (isJulianLeapYear year)

    rolloverMonths :: (Integer,Integer) -> (Integer,Int)
    rolloverMonths (y,m) = (y + (div (m - 1) 12),fromIntegral (mod (m - 1) 12) + 1)

    addJulianMonths :: Integer -> Day -> (Integer,Int,Int)
    addJulianMonths n day = (y',m',d) where
    	(y,m,d) = toJulian day
    	(y',m') = rolloverMonths (y,fromIntegral m + n)

    -- | Add months, with days past the last day of the month clipped to the last day.
    -- For instance, 2005-01-30 + 1 month = 2005-02-28.
    addJulianMonthsClip :: Integer -> Day -> Day
    addJulianMonthsClip n day = fromJulian y m d where
    	(y,m,d) = addJulianMonths n day

    -- | Add months, with days past the last day of the month rolling over to the next month.
    -- For instance, 2005-01-30 + 1 month = 2005-03-02.
    addJulianMonthsRollOver :: Integer -> Day -> Day
    addJulianMonthsRollOver n day = addDays (fromIntegral d - 1) (fromJulian y m 1) where
    	(y,m,d) = addJulianMonths n day

    -- | Add years, matching month and day, with Feb 29th clipped to Feb 28th if necessary.
    -- For instance, 2004-02-29 + 2 years = 2006-02-28.
    addJulianYearsClip :: Integer -> Day -> Day
    addJulianYearsClip n = addJulianMonthsClip (n * 12)

    -- | Add years, matching month and day, with Feb 29th rolled over to Mar 1st if necessary.
    -- For instance, 2004-02-29 + 2 years = 2006-03-01.
    addJulianYearsRollOver :: Integer -> Day -> Day
    addJulianYearsRollOver n = addJulianMonthsRollOver (n * 12)