(***********************************************************************) (* *) (* Objective Caml *) (* *) (* Xavier Leroy, projet Cristal, INRIA Rocquencourt *) (* *) (* Copyright 1996 Institut National de Recherche en Informatique et *) (* en Automatique. All rights reserved. This file is distributed *) (* under the terms of the GNU Library General Public License, with *) (* the special exception on linking described in file ../LICENSE. *) (* *) (***********************************************************************) (* $Id$ *) (** Hash tables and hash functions. Hash tables are hashed association tables, with in-place modification. *) (** {6 Generic interface} *) type ('a, 'b) t (** The type of hash tables from type ['a] to type ['b]. *) val create : ?seed:int -> int -> ('a, 'b) t (** [Hashtbl.create n] creates a new, empty hash table, with initial size [n]. For best results, [n] should be on the order of the expected number of elements that will be in the table. The table grows as needed, so [n] is just an initial guess. The optional [seed] parameter (an integer) can be given to diversify the hash function used to access the returned table. With high probability, hash tables created with different seeds have different collision patterns. In Web-facing applications for instance, it is recommended to create hash tables with a randomly-chosen seed. This prevents a denial-of-service attack whereas a malicious user sends input crafted to create many collisions in the table and therefore slow the application down. *) val clear : ('a, 'b) t -> unit (** Empty a hash table. *) val add : ('a, 'b) t -> 'a -> 'b -> unit (** [Hashtbl.add tbl x y] adds a binding of [x] to [y] in table [tbl]. Previous bindings for [x] are not removed, but simply hidden. That is, after performing {!Hashtbl.remove}[ tbl x], the previous binding for [x], if any, is restored. (Same behavior as with association lists.) *) val copy : ('a, 'b) t -> ('a, 'b) t (** Return a copy of the given hashtable. *) val find : ('a, 'b) t -> 'a -> 'b (** [Hashtbl.find tbl x] returns the current binding of [x] in [tbl], or raises [Not_found] if no such binding exists. *) val find_all : ('a, 'b) t -> 'a -> 'b list (** [Hashtbl.find_all tbl x] returns the list of all data associated with [x] in [tbl]. The current binding is returned first, then the previous bindings, in reverse order of introduction in the table. *) val mem : ('a, 'b) t -> 'a -> bool (** [Hashtbl.mem tbl x] checks if [x] is bound in [tbl]. *) val remove : ('a, 'b) t -> 'a -> unit (** [Hashtbl.remove tbl x] removes the current binding of [x] in [tbl], restoring the previous binding if it exists. It does nothing if [x] is not bound in [tbl]. *) val replace : ('a, 'b) t -> 'a -> 'b -> unit (** [Hashtbl.replace tbl x y] replaces the current binding of [x] in [tbl] by a binding of [x] to [y]. If [x] is unbound in [tbl], a binding of [x] to [y] is added to [tbl]. This is functionally equivalent to {!Hashtbl.remove}[ tbl x] followed by {!Hashtbl.add}[ tbl x y]. *) val iter : ('a -> 'b -> unit) -> ('a, 'b) t -> unit (** [Hashtbl.iter f tbl] applies [f] to all bindings in table [tbl]. [f] receives the key as first argument, and the associated value as second argument. Each binding is presented exactly once to [f]. The order in which the bindings are passed to [f] is unspecified. However, if the table contains several bindings for the same key, they are passed to [f] in reverse order of introduction, that is, the most recent binding is passed first. *) val fold : ('a -> 'b -> 'c -> 'c) -> ('a, 'b) t -> 'c -> 'c (** [Hashtbl.fold f tbl init] computes [(f kN dN ... (f k1 d1 init)...)], where [k1 ... kN] are the keys of all bindings in [tbl], and [d1 ... dN] are the associated values. Each binding is presented exactly once to [f]. The order in which the bindings are passed to [f] is unspecified. However, if the table contains several bindings for the same key, they are passed to [f] in reverse order of introduction, that is, the most recent binding is passed first. *) val length : ('a, 'b) t -> int (** [Hashtbl.length tbl] returns the number of bindings in [tbl]. It takes constant time. Multiple bindings are counted once each, so [Hashtbl.length] gives the number of times [Hashtbl.iter] calls its first argument. *) type statistics = { num_bindings: int; (** Number of bindings present in the table. Same value as returned by {!Hashtbl.length}. *) num_buckets: int; (** Number of buckets in the table. *) max_bucket_length: int; (** Maximal number of bindings per bucket. *) bucket_histogram: int array (** Histogram of bucket sizes. This array [histo] has length [hash_max_bucket_length + 1]. The value of [histo.(i)] is the number of buckets whose size is [i]. *) } val stats : ('a, 'b) t -> statistics (** [Hashtbl.stats tbl] returns statistics about the table [tbl]: number of buckets, size of the biggest bucket, distribution of buckets by size. *) (** {6 Functorial interface} *) module type HashedType = sig type t (** The type of the hashtable keys. *) val equal : t -> t -> bool (** The equality predicate used to compare keys. *) val hash : t -> int (** A hashing function on keys. It must be such that if two keys are equal according to [equal], then they have identical hash values as computed by [hash]. Examples: suitable ([equal], [hash]) pairs for arbitrary key types include - ([(=)], {!Hashtbl.hash}) for comparing objects by structure (provided objects do not contain floats) - ([(fun x y -> compare x y = 0)], {!Hashtbl.hash}) for comparing objects by structure and handling {!Pervasives.nan} correctly - ([(==)], {!Hashtbl.hash}) for comparing objects by physical equality (e.g. for mutable or cyclic objects). *) end (** The input signature of the functor {!Hashtbl.Make}. *) module type S = sig type key type 'a t val create : ?seed:int -> int -> 'a t val clear : 'a t -> unit val copy : 'a t -> 'a t val add : 'a t -> key -> 'a -> unit val remove : 'a t -> key -> unit val find : 'a t -> key -> 'a val find_all : 'a t -> key -> 'a list val replace : 'a t -> key -> 'a -> unit val mem : 'a t -> key -> bool val iter : (key -> 'a -> unit) -> 'a t -> unit val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b val length : 'a t -> int val stats: 'a t -> statistics end (** The output signature of the functor {!Hashtbl.Make}. *) module Make (H : HashedType) : S with type key = H.t (** Functor building an implementation of the hashtable structure. The functor [Hashtbl.Make] returns a structure containing a type [key] of keys and a type ['a t] of hash tables associating data of type ['a] to keys of type [key]. The operations perform similarly to those of the generic interface, but use the hashing and equality functions specified in the functor argument [H] instead of generic equality and hashing. The optional [seed] argument to the [create] function is ignored. *) module type SeededHashedType = sig type t (** The type of the hashtable keys. *) val equal: t -> t -> bool (** The equality predicate used to compare keys. *) val hash: int -> t -> int (** A seeded hashing function on keys. The first argument is the seed. It must be the case that if [equal x y] is true, then [hash seed x = hash seed y] for any value of [seed]. A suitable choice for [hash] is the function {!Hashtbl.seeded_hash} below. *) end (** The input signature of the functor {!Hashtbl.MakeSeeded}. @since 3.13.0 *) module MakeSeeded (H : SeededHashedType) : S with type key = H.t (** Functor building an implementation of the hashtable structure. The functor [Hashtbl.MakeSeeded] returns a structure containing a type [key] of keys and a type ['a t] of hash tables associating data of type ['a] to keys of type [key]. The operations perform similarly to those of the generic interface, but use the seeded hashing and equality functions specified in the functor argument [H] instead of generic equality and hashing. The optional [seed] argument to the [create] function is honored. @since 3.13.0 *) (** {6 The polymorphic hash functions} *) val hash : 'a -> int (** [Hashtbl.hash x] associates a nonnegative integer to any value of any type. It is guaranteed that if [x = y] or [Pervasives.compare x y = 0], then [hash x = hash y]. Moreover, [hash] always terminates, even on cyclic structures. *) val seeded_hash : int -> 'a -> int (** A variant of {!Hashtbl.hash} that is further parameterized by an integer seed. @since 3.13.0 *) val hash_param : int -> int -> 'a -> int (** [Hashtbl.hash_param meaningful total x] computes a hash value for [x], with the same properties as for [hash]. The two extra integer parameters [meaningful] and [total] give more precise control over hashing. Hashing performs a breadth-first, left-to-right traversal of the structure [x], stopping after [meaningful] meaningful nodes were encountered, or [total] nodes (meaningful or not) were encountered. Meaningful nodes are: integers; floating-point numbers; strings; characters; booleans; and constant constructors. Larger values of [meaningful] and [total] means that more nodes are taken into account to compute the final hash value, and therefore collisions are less likely to happen. However, hashing takes longer. The parameters [meaningful] and [total] govern the tradeoff between accuracy and speed. As default choices, {!Hashtbl.hash} and {!Hashtbl.seeded_hash} take [meaningful = 10] and [total = 100]. *) val seeded_hash_param : int -> int -> int -> 'a -> int (** A variant of {!Hashtbl.hash_param} that is further parameterized by an integer seed. Usage: [Hashtbl.seeded_hash_param meaningful total seed x]. @since 3.13.0 *)