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By Hickey J.

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Additional resources for Introduction to Objective Caml

Example text

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 = val insert : ’a -> ’a rbtree -> ’a rbtree = Note the use of nested patterns in the balance function.

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 = # identity succ;; - : int -> int = # (identity succ) 2;; - : int = 3 In this case, the (identity succ) expression returns the succ function itself, which can be applied to 2 to return 3. There may be times when the compiler infers a polymorphic type where one wasn’t intended. In this case, the type can be constrained with the syntax (s : type), where s can be a pattern or expression.

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.

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Introduction to Objective Caml by Hickey J.

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