By Hickey J.
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Additional resources for Introduction to Objective Caml
Let balance = function Black, z, Node (Red, y, Node (Red, x, a, b), c), d | Black, z, Node (Red, x, a, Node (Red, y, b, c)), d | Black, x, a, Node (Red, z, Node (Red, y, b, c), d) | Black, x, a, Node (Red, y, b, Node (Red, z, c, d)) -> Node (Red, y, Node (Black, x, a, b), Node (Black, z, c, d)) | a, b, c, d -> Node (a, b, c, d) let insert x s = let rec ins = function Leaf -> Node (Red, x, Leaf, Leaf) | Node (color, y, a, b) as s -> if x < y then balance (color, y, ins a, b) else if x > y then balance (color, y, a, ins b) else s in match ins s with (* guaranteed to be non-empty *) Node (_, y, a, b) -> Node (Black, y, a, b) | Leaf -> raise (Invalid_argument "insert");; val balance : color * ’a * ’a rbtree * ’a rbtree -> ’a rbtree =
1. POLYMORPHISM CHAPTER 5. TUPLES, LISTS, AND POLYMORPHISM function can even be applied to function arguments. # let succ i = i + 1;; val succ : int -> int =
Now, if we call set 10, the type variable ’_a becomes int, and the type of the get function becomes unit -> int. The general point of the value restriction is that mutable values are not polymorphic. In addition, function applications are not polymorphic because evaluating the function might create a mutable value or perform an assignment. The policy is used even for simple applications like identity identity where it is obvious that no assignments are being performed. It is usually easy to get around the value restriction by using a technique called eta-expansion.
Introduction to Objective Caml by Hickey J.