type 'a avl = Empty Node of int * 'a avl * 'a * 'a avl let balanceLL node = match node with (Node (d, Node (lmax, ll, xl, rl), x, r)) -> let rmax = max (depth rl) (depth r) + 1 in let cmax = max rmax (depth ll) + 1 in Node (cmax, ll, xl, Node (rmax, rl, x, r)) _ -> failwith "Impossible" let balanceLR node = match node with (Node (d, Node (dl, ll, y, Node (dlr, lrl, z, lrr)), x, r)) -> let lmax = max (depth ll) (depth lrl) + 1 in let rmax = max (depth lrr) (depth r) + 1 in let cmax = max lmax rmax + 1 in Node (cmax, Node (lmax, ll, y, lrl), z, Node (rmax, lrr, x, r)) _ -> failwith "Impossible" let balanceRR node = match node with (Node (d, l, x, Node (dr, lr, xr, rr))) -> let lmax = max (depth l) (depth lr) + 1 in let cmax = max lmax (depth rr) + 1 in Node (cmax, Node (lmax, l, x, lr), xr, rr) _ -> failwith "Impossible" let balanceRL node = match node with (Node (d, l, x, Node (dr, Node (drl, rll, z, rlr), y, rr))) -> let lmax = max (depth l) (depth rll) + 1 in let rmax = max (depth rlr) (depth rr) + 1 in let cmax = max lmax rmax + 1 in Node (cmax, Node (lmax, l, x, rll), z, Node (rmax, rlr, y, rr)) _ -> failwith "Impossible"
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