Module Avltree = Avltree


type ('k, 'v) t = private
| Empty
| Node of ('k, 'v) t * 'k * 'v * int * ('k, 'v) t
| Leaf of 'k * 'v

We expose t to allow an optimization in Hashtbl that makes iter and fold more than twice as fast.

It is however private so that 'k and 'v are invariant. This avoids the following segfault. The segfault works by creating a tree containing [`A of string] keys, mutating it to contain [`A of string | `B of int] keys, and then pattern matching against keys at the first type.

      let added = ref false in
      let tree =
        Avltree.add Avltree.empty ~key:0 ~data:(`A "Hello, world!") ~compare
          ~added ~replace:true
      let x : (int, [ `A of string ]) Avltree.t = tree in
      ignore (Avltree.add tree ~key:0 ~data:(`B 0) ~compare
                ~added ~replace:true : (_, _) Avltree.t);
      match Avltree.find x 0 ~compare:compare with
      | None -> assert false
      | Some (`A str) -> print_string str (* BOOM! *)
val empty : ('k, 'v) t
val invariant : ('k, 'v) t -> compare:('k -> 'k -> int) -> unit

check invariants, raise an exception if any invariants fail

val add : ('k, 'v) t -> replace:bool -> compare:('k -> 'k -> int) -> added:bool Pervasives.ref -> key:'k -> data:'v -> ('k, 'v) t

adds the specified key and data to the tree destructively (previous t's are no longer valid) using the specified comparison function. O(log(N)) time, O(1) space. The returned t is the new root node of the tree, and should be used on all further calls to any other function in this module. The bool ref, added, will be set to true if a new node is added to the tree, or false if an existing node is replaced (in the case that the key already exists). If replace (default true) is true then add will overwrite any existing mapping for key. If replace is false, and there is an existing mapping for key then add has no effect.

val first : ('k, 'v) t -> ('k * 'v) option

Returns the first (leftmost) or last (rightmost) element in the tree

val last : ('k, 'v) t -> ('k * 'v) option
val find : ('k, 'v) t -> compare:('k -> 'k -> int) -> 'k -> 'v option

if the specified key exists in the tree, return the corresponding value. O(log(N)) time and O(1) space.

val find_and_call : ('k, 'v) t -> compare:('k -> 'k -> int) -> 'k -> if_found:('v -> 'a) -> if_not_found:('k -> 'a) -> 'a

find_and_call t ~compare k ~if_found ~if_not_found

is equivalent to:

match find t ~compare k with Some v -> if_found v | None -> if_not_found k

except that it doesn't allocate the option.

val mem : ('k, 'v) t -> compare:('k -> 'k -> int) -> 'k -> bool

return true if key is present in the tree, otherwise return false.

val remove : ('k, 'v) t -> removed:bool Pervasives.ref -> compare:('k -> 'k -> int) -> 'k -> ('k, 'v) t

remove key destructively from the tree if it exists, return the new root node. Previous root nodes are not usable anymore, do so at your peril. the removed ref will be set to true if a node was actually removed, or false otherwise.

val fold : ('k, 'v) t -> init:'a -> f:(key:'k -> data:'v -> 'a -> 'a) -> 'a

fold over the tree

val iter : ('k, 'v) t -> f:(key:'k -> data:'v -> unit) -> unit

iterate over the tree