Hashtbl(3)
π NAME π
Hashtbl β hash tables and hash functions, bestie. That's the whole vibe: this is the OCaml library page for the Hashtbl module, and it's lowkey iconic. π
π§ Module π§
Module Hashtbl
π Documentation π
Module Hashtbl
: sig end
Hash tables are hashed association tables, with in-place modification. Because most operations on a hash table modify their input, they're more commonly used in imperative code. The lookup of the value associated with a key (see Hashtbl.find, Hashtbl.find_opt) is normally very fast, often faster than the equivalent lookup in Map.
The functors Hashtbl.Make and Hashtbl.MakeSeeded can be used when performance or flexibility are key. The user provides custom equality and hash functions for the key type, and obtains a custom hash table type for this particular type of key.
β οΈ Warning: a hash table is only as good as the hash function. A bad hash function will turn the table into a degenerate association list, with linear time lookup instead of constant time lookup. Not the slay we want, bestie. π
The polymorphic Hashtbl.t hash table is useful in simpler cases or in interactive environments. It uses the polymorphic Hashtbl.hash function defined in the OCaml runtime (at the time of writing, it's SipHash), as well as the polymorphic equality (=).
See Hashtbl.examples.
π¨ Alert unsynchronized_access. Unsynchronized accesses to hash tables are a programming error.
β οΈ Unsynchronized accesses β οΈ
Unsynchronized accesses to a hash table may lead to an invalid hash table state. Thus, concurrent accesses to a hash table must be synchronized (for instance with a Mutex.t).
β¨ Generic interface β¨
type (!'a, !'b) tβ the type of hash tables from type'ato type'b. Main character type energy.val create : ?random:bool -> int -> ('a, 'b) tβHashtbl.create ncreates a new, empty hash table, with initial size greater or equal to the suggested sizen. For best results,nshould be on the order of the expected number of elements that will be in the table. The table grows as needed, sonis just an initial guess. Ifnis very small or negative then it is disregarded and a small default size is used.
The optional ~random parameter (a boolean) controls whether the internal organization of the hash table is randomized at each execution of Hashtbl.create or deterministic over all executions.
A hash table that is created with ~random set to false uses a fixed hash function (Hashtbl.hash) to distribute keys among buckets. As a consequence, collisions between keys happen deterministically. In Web-facing applications or other security-sensitive applications, the deterministic collision patterns can be exploited by a malicious user to create a denial-of-service attack: the attacker sends input crafted to create many collisions in the table, slowing the application down.
A hash table that is created with ~random set to true uses the seeded hash function Hashtbl.seeded_hash with a seed that is randomly chosen at hash table creation time. In effect, the hash function used is randomly selected among 2^{30} different hash functions. All these hash functions have different collision patterns, rendering ineffective the denial-of-service attack described above. However, because of randomization, enumerating all elements of the hash table using Hashtbl.fold or Hashtbl.iter is no longer deterministic: elements are enumerated in different orders at different runs of the program.
If no ~random parameter is given, hash tables are created in non-random mode by default. This default can be changed either programmatically by calling Hashtbl.randomize or by setting the R flag in the OCAMLRUNPARAM environment variable.
Before4.00 the ~random parameter was not present and all hash tables were created in non-randomized mode.
val clear : ('a, 'b) t -> unitβ empty a hash table. Useresetinstead ofclearto shrink the size of the bucket table to its initial size.val reset : ('a, 'b) t -> unitβ empty a hash table and shrink the size of the bucket table to its initial size.
Since 4.00
val copy : ('a, 'b) t -> ('a, 'b) tβ return a copy of the given hashtable.val add : ('a, 'b) t -> 'a -> 'b -> unitβHashtbl.add tbl key dataadds a binding ofkeytodatain tabletbl.
β οΈ Warning: previous bindings forkeyare not removed, but simply hidden. That is, after performingHashtbl.remove tbl key, the previous binding forkey, if any, is restored. (Same behavior as with association lists.)
If you desire the classic behavior of replacing elements, see Hashtbl.replace.
val find : ('a, 'b) t -> 'a -> 'bβHashtbl.find tbl xreturns the current binding ofxintbl, or raisesNot_foundif no such binding exists.val find_opt : ('a, 'b) t -> 'a -> 'b optionβHashtbl.find_opt tbl xreturns the current binding ofxintbl, orNoneif no such binding exists.
Since 4.05
val find_all : ('a, 'b) t -> 'a -> 'b listβHashtbl.find_all tbl xreturns the list of all data associated withxintbl. The current binding is returned first, then the previous bindings, in reverse order of introduction in the table.val mem : ('a, 'b) t -> 'a -> boolβHashtbl.mem tbl xchecks ifxis bound intbl.val remove : ('a, 'b) t -> 'a -> unitβHashtbl.remove tbl xremoves the current binding ofxintbl, restoring the previous binding if it exists. It does nothing ifxis not bound intbl.val find_and_remove : ('a, 'b) t -> 'a -> 'b optionβ same asHashtbl.removebut returns the previous binding, if any.
Since 5.5
val replace : ('a, 'b) t -> 'a -> 'b -> unitβHashtbl.replace tbl key datareplaces the current binding ofkeyintblby a binding ofkeytodata. Ifkeyis unbound intbl, a binding ofkeytodatais added totbl. This is functionally equivalent toHashtbl.remove tbl keyfollowed byHashtbl.add tbl key data.val find_and_replace : ('a, 'b) t -> 'a -> 'b -> 'b optionβ same asHashtbl.replacebut returns the previous binding, if any.
Since 5.5
val iter : ('a -> 'b -> unit) -> ('a, 'b) t -> unitβHashtbl.iter f tblappliesfto all bindings in tabletbl.freceives the key as first argument, and the associated value as second argument. Each binding is presented exactly once tof.
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.
If the hash table was created in non-randomized mode, the order in which the bindings are enumerated is reproducible between successive runs of the program, and even between minor versions of OCaml. For randomized hash tables, the order of enumeration is entirely random.
The behavior is not specified if the hash table is modified by f during the iteration.
val filter_map_inplace : ('a -> 'b -> 'b option) -> ('a, 'b) t -> unitβHashtbl.filter_map_inplace f tblappliesfto all bindings in tabletbland updates each binding depending on the result off. IffreturnsNone, the binding is discarded. If it returnsSome new_val, the binding is updated to associate the key tonew_val.
Other comments for Hashtbl.iter apply as well.
Since 4.03
val fold : ('a -> 'b -> 'acc -> 'acc) -> ('a, 'b) t -> 'acc -> 'accβHashtbl.fold f tbl initcomputes(f kN dN ... (f k1 d1 init)...), wherek1...kNare the keys of all bindings intbl, andd1...dNare the associated values. Each binding is presented exactly once tof.
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.
If the hash table was created in non-randomized mode, the order in which the bindings are enumerated is reproducible between successive runs of the program, and even between minor versions of OCaml. For randomized hash tables, the order of enumeration is entirely random.
The behavior is not specified if the hash table is modified by f during the iteration.
val length : ('a, 'b) t -> intβHashtbl.length tblreturns the number of bindings intbl. It takes constant time. Multiple bindings are counted once each, soHashtbl.lengthgives the number of timesHashtbl.itercalls its first argument.val randomize : unit -> unitβ after a call toHashtbl.randomize(), hash tables are created in randomized mode by default:Hashtbl.createreturns randomized hash tables, unless the~random:falseoptional parameter is given. The same effect can be achieved by setting theRparameter in theOCAMLRUNPARAMenvironment variable.
It is recommended that applications or Web frameworks that need to protect themselves against the denial-of-service attack described in Hashtbl.create call Hashtbl.randomize() at initialization time before any domains are created.
Note that once Hashtbl.randomize() was called, there is no way to revert to the non-randomized default behavior of Hashtbl.create. This is intentional. Non-randomized hash tables can still be created using Hashtbl.create ~random:false.
Since 4.00
val is_randomized : unit -> boolβ returntrueif the tables are currently created in randomized mode by default,falseotherwise.
Since 4.03
val rebuild : ?random:bool -> ('a, 'b) t -> ('a, 'b) tβ return a copy of the given hashtable. UnlikeHashtbl.copy,Hashtbl.rebuild hre-hashes all the(key, value)entries of the original tableh. The returned hash table is randomized ifhwas randomized, or the optionalrandomparameter istrue, or if the default is to create randomized hash tables; seeHashtbl.createfor more information.
Hashtbl.rebuild can safely be used to import a hash table built by an old version of the Hashtbl module, then marshaled to persistent storage. After unmarshaling, apply Hashtbl.rebuild to produce a hash table for the current version of the Hashtbl module.
Since 4.12
type statistics = { ... }β the stats record, and yes, every field is here exactly as the manual gives it:
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 max_bucket_length + 1 . The value of histo.(i)
is the number of buckets whose size is i .
*)
}
Since 4.00
val stats : ('a, 'b) t -> statisticsβHashtbl.stats tblreturns statistics about the tabletbl: number of buckets, size of the biggest bucket, distribution of buckets by size.
Since 4.00
π Hash tables and Sequences π
val to_seq : ('a, 'b) t -> ('a * 'b) Seq.tβ signature drop, bestie. That's the line for this part. π¦
okay so iterating over the whole table? The order the bindings show up in the sequence is unspecified β like, nobody promised you a tidy lineup. But if the table has several bindings for the same key, they appear in reversed order of introduction, that is, the most recent binding appears first. π
β οΈ The behavior is not specified if the hash table is modified during the iteration. bestie, do not touch it mid-loop, fr fr.
Since 4.07 β¨
val to_seq_keys : ('a, 'b) t -> 'a Seq.tβ literally the same asSeq.map fst (to_seq m). Since 4.07.val to_seq_values : ('a, 'b) t -> 'b Seq.tβ literally the same asSeq.map snd (to_seq m). Since 4.07.val add_seq : ('a, 'b) t -> ('a * 'b) Seq.t -> unitβ add the given bindings to the table, usingHashtbl.add. Since 4.07.val replace_seq : ('a, 'b) t -> ('a * 'b) Seq.t -> unitβ add the given bindings to the table, usingHashtbl.replace. Since 4.07.val of_seq : ('a * 'b) Seq.t -> ('a, 'b) tβ build a table from the given bindings. The bindings are added in the same order they appear in the sequence, usingHashtbl.replace_seq, which means that if two pairs have the same key, only the latest one will appear in the table. Since 4.07.
π§Έ Functorial interface π§Έ
The functorial interface lets you use specific comparison and hash functions β either for performance/security concerns, or because your keys are not hashable/comparable with the polymorphic builtins. π
For instance, one might want to specialize a table for integer keys:
module IntHash =
struct
type t = int
let equal i j = i=j
let hash i = i land max_int
end
module IntHashtbl = Hashtbl.Make(IntHash)
let h = IntHashtbl.create 17 in
IntHashtbl.add h 12 "hello"
This creates a new module IntHashtbl, with a new type 'a IntHashtbl.t of tables from int to 'a. In this example, h contains string values so its type is string IntHashtbl.t. π«Ά
Note that the new type 'a IntHashtbl.t is not compatible with the type ('a,'b) Hashtbl.t of the generic interface. For example, Hashtbl.length h would not type-check β you must use IntHashtbl.length. no cap.
module type HashedType = sig endβ the input signature of the functorHashtbl.Make. πmodule type S = sig endβ the output signature of the functorHashtbl.Make. πmodule Make : (H : HashedType) -> sig endβ functor building an implementation of the hashtable structure. The functorHashtbl.Makereturns a structure containing a typekeyof keys and a type'a tof hash tables associating data of type'ato keys of typekey. The operations perform similarly to those of the generic interface, but use the hashing and equality functions specified in the functor argumentHinstead of generic equality and hashing. Since the hash function is not seeded, thecreateoperation of the result structure always returns non-randomized hash tables. π₯module type SeededHashedType = sig endβ the input signature of the functorHashtbl.MakeSeeded. Since 4.00 β¨module type SeededS = sig endβ the output signature of the functorHashtbl.MakeSeeded. Since 4.00 β¨module MakeSeeded : (H : SeededHashedType) -> sig endβ functor building an implementation of the hashtable structure. The functorHashtbl.MakeSeededreturns a structure containing a typekeyof keys and a type'a tof hash tables associating data of type'ato keys of typekey. The operations perform similarly to those of the generic interface, but use the seeded hashing and equality functions specified in the functor argumentHinstead of generic equality and hashing. Thecreateoperation of the result structure supports the~randomoptional parameter and returns randomized hash tables if~random:trueis passed or if randomization is globally on (seeHashtbl.randomize). Since 4.00 β¨
π The polymorphic hash functions π
val hash : 'a -> intβHashtbl.hash xassociates a nonnegative integer to any value of any type. It is guaranteed that ifx = yorStdlib.compare x y = 0, thenhash x = hash y. Moreover,hashalways terminates, even on cyclic structures. πval seeded_hash : int -> 'a -> intβ a variant ofHashtbl.hashthat is further parameterized by an integer seed. Since 4.00 β¨val hash_param : int -> int -> 'a -> intβHashtbl.hash_param meaningful total xcomputes a hash value forx, with the same properties as forhash. The two extra integer parametersmeaningfulandtotalgive more precise control over hashing. Hashing performs a breadth-first, left-to-right traversal of the structurex, stopping aftermeaningfulmeaningful nodes were encountered, ortotalnodes (meaningful or not) were encountered. Iftotalas specified by the user exceeds a certain value, currently256, then it is capped to that value. Meaningful nodes are: integers; floating-point numbers; strings; characters; booleans; and constant constructors. Larger values ofmeaningfulandtotalmeans 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 parametersmeaningfulandtotalgovern the tradeoff between accuracy and speed. As default choices,Hashtbl.hashandHashtbl.seeded_hashtakemeaningful = 10andtotal = 100. πval seeded_hash_param : int -> int -> int -> 'a -> intβ a variant ofHashtbl.hash_paramthat is further parameterized by an integer seed. Usage:Hashtbl.seeded_hash_param meaningful total seed x. Since 4.00 β¨
π Examples π
Basic Example β¨
(* 0...99 *)
let seq = Seq.ints 0 |> Seq.take 100
(* build from Seq.t *)
# let tbl =
seq
|> Seq.map (fun x -> x, string_of_int x)
|> Hashtbl.of_seq
val tbl : (int, string) Hashtbl.t = <abstr>
# Hashtbl.length tbl
- : int = 100
# Hashtbl.find_opt tbl 32
- : string option = Some "32"
# Hashtbl.find_opt tbl 166
- : string option = None
# Hashtbl.replace tbl 166 "one six six"
- : unit = ()
# Hashtbl.find_opt tbl 166
- : string option = Some "one six six"
# Hashtbl.length tbl
- : int = 101
Counting Elements πΈ
Given a sequence of elements (here, a Seq.t), we want to count how many times each distinct element occurs in the sequence. A simple way to do this, assuming the elements are comparable and hashable, is to use a hash table that maps elements to their number of occurrences.
Here we illustrate that principle using a sequence of (ascii) characters (type char). We use a custom Char_tbl specialized for char. π§
# module Char_tbl = Hashtbl.Make(struct
type t = char
let equal = Char.equal
let hash = Hashtbl.hash
end)
(* count distinct occurrences of chars in [seq] *)
# let count_chars (seq : char Seq.t) : _ list =
let counts = Char_tbl.create 16 in
Seq.iter
(fun c ->
let count_c =
Char_tbl.find_opt counts c
|> Option.value ~default:0
in
Char_tbl.replace counts c (count_c + 1))
seq;
(* turn into a list *)
Char_tbl.fold (fun c n l -> (c,n) :: l) counts []
|> List.sort (fun (c1,_)(c2,_) -> Char.compare c1 c2)
val count_chars : Char_tbl.key Seq.t -> (Char.t * int) list = <fun>
(* basic seq from a string *)
# let seq = String.to_seq "hello world, and all the camels in it!"
val seq : char Seq.t = <fun>
# count_chars seq
- : (Char.t * int) list =
[(' ', 7); ('!', 1); (',', 1); ('a', 3); ('c', 1); ('d', 2); ('e', 3);
('h', 2); ('i', 2); ('l', 6); ('m', 1); ('n', 2); ('o', 2); ('r', 1);
('s', 1); ('t', 2); ('w', 1)]
(* "abcabcabc..." *)
# let seq2 =
Seq.cycle (String.to_seq "abc") |> Seq.take 31
val seq2 : char Seq.t = <fun>
# String.of_seq seq2
- : String.t = "abcabcabcabcabcabcabcabcabcabca"
# count_chars seq2
- : (Char.t * int) list = [('a', 11); ('b', 10); ('c', 10)]
This iconic page was served up by OCamldoc, dated 2026-06-22, and itβs literally the Hashtbl(3) manual page. slay, bestie. π
β¨
π¦ where this page comes from
- arch rolling: ocaml 5.5.0-1 Β· LGPL2.1 AND custom: QPL-1.0
- π girlified by deepseek-ai/DeepSeek-V4.1-Flash-1017 on : a language model's rewrite of the original, under its terms