    module Data.Time.Calendar.Easter
    	(
    	sundayAfter,
    	orthodoxPaschalMoon,orthodoxEaster,
    	gregorianPaschalMoon,gregorianEaster
    	) where

    -- formulae from Reingold & Dershowitz, _Calendrical Calculations_, ch. 8.

    import Data.Time.Calendar
    import Data.Time.Calendar.Julian

    -- | The next Sunday strictly after a given day.
    sundayAfter :: Day -> Day
    sundayAfter day = addDays (7 - (mod (toModifiedJulianDay day + 3) 7)) day

    -- | Given a year, find the Paschal full moon according to Orthodox Christian tradition
    orthodoxPaschalMoon :: Integer -> Day
    orthodoxPaschalMoon year  = addDays (- shiftedEpact) (fromJulian jyear 4 19) where
    	shiftedEpact = mod (14 + 11 * (mod year 19)) 30
    	jyear = if year > 0 then year else year - 1

    -- | Given a year, find Easter according to Orthodox Christian tradition
    orthodoxEaster :: Integer -> Day
    orthodoxEaster = sundayAfter . orthodoxPaschalMoon

    -- | Given a year, find the Paschal full moon according to the Gregorian method
    gregorianPaschalMoon :: Integer -> Day
    gregorianPaschalMoon year  = addDays (- adjustedEpact) (fromGregorian year 4 19) where
    	century = (div year 100) + 1
    	shiftedEpact = mod (14 + 11 * (mod year 19) - (div (3 * century) 4) + (div (5 + 8 * century) 25)) 30
    	adjustedEpact = if shiftedEpact == 0 || ((shiftedEpact == 1) && (mod year 19 < 10)) then shiftedEpact + 1 else shiftedEpact

    -- | Given a year, find Easter according to the Gregorian method
    gregorianEaster :: Integer -> Day
    gregorianEaster = sundayAfter . gregorianPaschalMoon