    -- #hide
    module Data.Time.Calendar.Private where

    import Data.Fixed

    type NumericPadOption = Maybe Char

    pad1 :: NumericPadOption -> String -> String
    pad1 (Just c) s = c:s
    pad1 _ s = s

    show2Fixed :: NumericPadOption -> Pico -> String
    show2Fixed opt x | x < 10 = pad1 opt (showFixed True x)
    show2Fixed _ x = showFixed True x

    show2 :: (Num t,Ord t,Show t) => NumericPadOption -> t -> String
    show2 opt i | i < 0 = '-':(show2 opt (negate i))
    show2 opt i = let
    	s = show i in
      case s of
    	[_] -> pad1 opt s
    	_ -> s

    show3 :: (Num t,Ord t,Show t) => NumericPadOption -> t -> String
    show3 opt i | i < 0 = '-':(show3 opt (negate i))
    show3 opt i = let
    	s = show2 opt i in
      case s of
    	[_,_] -> pad1 opt s
    	_ -> s

    show4 :: (Num t,Ord t,Show t) => NumericPadOption -> t -> String
    show4 opt i | i < 0 = '-':(show4 opt (negate i))
    show4 opt i = let
    	s = show3 opt i in
      case s of
    	[_,_,_] -> pad1 opt s
    	_ -> s

    mod100 :: (Integral i) => i -> i
    mod100 x = mod x 100

    div100 :: (Integral i) => i -> i
    div100 x = div x 100

    clip :: (Ord t) => t -> t -> t -> t
    clip a _ x | x < a = a
    clip _ b x | x > b = b
    clip _ _ x = x

    clipValid :: (Ord t) => t -> t -> t -> Maybe t
    clipValid a _ x | x < a = Nothing
    clipValid _ b x | x > b = Nothing
    clipValid _ _ x = Just x