module Tree where
data Color = R | B
data Tree a = E | T Color (Tree a) a (Tree a)
insert :: Ord a => a -> Tree a -> Tree a
insert x t =
let T _ a y b = ins t in
T B a y b
where
ins E = T R E x E
ins s@(T col a y b)
| x < y = balance col (ins a) y b
| x > y = balance col a y (ins b)
| otherwise = s
balance :: Color -> Tree a -> a -> Tree a -> Tree a
balance B (T R (T R a x b) y c ) z d = T R (T B a x b) y (T B c z d)
balance B (T R a x (T R b y c)) z d = T R (T B a x b) y (T B c z d)
balance B a x (T R (T R b y c) z d ) = T R (T B a x b) y (T B c z d)
balance B a x (T R b y (T R c z d)) = T R (T B a x b) y (T B c z d)
balance col a x b = T col a x b
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