A hash table is a mutable data structure implementing a map between keys and values. It supports constant-time lookup and in-place modification.
Usage
As a simple example, we'll create a hash table with string keys using the create
constructor, which expects a module defining the key's type:
let h = Hashtbl.create (module String);;
val h : (string, '_a) Hashtbl.t = <abstr>
We can set the values of individual keys with set
. If the key already has a value, it will be overwritten.
Hashtbl.set h ~key:"foo" ~data:5;;
- : unit = ()
Hashtbl.set h ~key:"foo" ~data:6;;
- : unit = ()
Hashtbl.set h ~key:"bar" ~data:6;;
- : unit = ()
We can access values by key, or dump all of the hash table's data:
Hashtbl.find h "foo";;
- : int option = Some 6
Hashtbl.find_exn h "foo";;
- : int = 6
Hashtbl.to_alist h;;
- : (string * int) list = [("foo", 6); ("bar", 6)]
change
lets us change a key's value by applying the given function:
Hashtbl.change h "foo" (fun x ->
match x with
| Some x -> Some (x * 2)
| None -> None
);;
- : unit = ()
Hashtbl.to_alist h;;
- : (string * int) list = [("foo", 12); ("bar", 6)]
We can use merge
to merge two hashtables with fine-grained control over how we choose values when a key is present in the first ("left") hashtable, the second ("right"), or both. Here, we'll cons the values when both hashtables have a key:
let h1 = Hashtbl.of_alist_exn (module Int) [(1, 5); (2, 3232)] in
let h2 = Hashtbl.of_alist_exn (module Int) [(1, 3)] in
Hashtbl.merge h1 h2 ~f:(fun ~key:_ -> function
| `Left x -> Some (`Left x)
| `Right x -> Some (`Right x)
| `Both (x, y) -> if x=y then None else Some (`Both (x,y))
) |> Hashtbl.to_alist;;
- : (int * [> `Both of int * int | `Left of int | `Right of int ]) list =
[(2, `Left 3232); (1, `Both (5, 3))]
Interface
val hash_param : int -> int -> 'a -> int
We provide a sexp_of_t
but not a t_of_sexp
for this type because one needs to be explicit about the hash and comparison functions used when creating a hashtable. Note that Hashtbl.Poly.t
does have [@@deriving_inline sexp][@@@end]
, and uses OCaml's built-in polymorphic comparison and and polymorphic hashing.
Creators
val create :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a, 'b) t
The module you pass to create
must have a type that is hashable, sexpable, and comparable.
Example:
Hashtbl.create (module Int);;
- : (int, '_a) Hashtbl.t = <abstr>;;
val of_alist :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a * 'b) list ->
[ `Ok of ('a, 'b) t | `Duplicate_key of 'a ]
Example:
Hashtbl.of_alist (module Int) [(3, "something"); (2, "whatever")]
- : [ `Duplicate_key of int | `Ok of (int, string) Hashtbl.t ] = `Ok <abstr>
val of_alist_report_all_dups :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a * 'b) list ->
[ `Ok of ('a, 'b) t | `Duplicate_keys of 'a list ]
Whereas of_alist
will report Duplicate_key
no matter how many dups there are in your list, of_alist_report_all_dups
will report each and every duplicate entry.
For example:
Hashtbl.of_alist (module Int) [(1, "foo"); (1, "bar"); (2, "foo"); (2, "bar")];;
- : [ `Duplicate_key of int | `Ok of (int, string) Hashtbl.t ] = `Duplicate_key 1
Hashtbl.of_alist_report_all_dups (module Int) [(1, "foo"); (1, "bar"); (2, "foo"); (2, "bar")];;
- : [ `Duplicate_keys of int list | `Ok of (int, string) Hashtbl.t ] = `Duplicate_keys [1; 2]
val of_alist_or_error :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a * 'b) list ->
('a, 'b) t Or_error.t
val of_alist_exn :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a * 'b) list ->
('a, 'b) t
val of_alist_multi :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
('a * 'b) list ->
('a, 'b list) t
Creates a "multi" hashtable, i.e., a hashtable where each key points to a list potentially containing multiple values. So instead of short-circuiting with a `Duplicate_key
variant on duplicates, as in of_alist
, of_alist_multi
folds those values into a list for the given key:
let h = Hashtbl.of_alist_multi (module Int) [(1, "a"); (1, "b"); (2, "c"); (2, "d")];;
val h : (int, string list) Hashtbl.t = <abstr>
Hashtbl.find_exn h 1;;
- : string list = ["b"; "a"]
val create_mapped :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
get_key:('r -> 'a) ->
get_data:('r -> 'b) ->
'r list ->
[ `Ok of ('a, 'b) t | `Duplicate_keys of 'a list ]
Applies the get_key
and get_data
functions to the 'r list
to create the initial keys and values, respectively, for the new hashtable.
create_mapped get_key get_data [x1;...;xn]
= of_alist [get_key x1, get_data x1; ...; get_key xn, get_data xn]
Example:
let h =
Hashtbl.create_mapped (module Int)
~get_key:(fun x -> x)
~get_data:(fun x -> x + 1)
[1; 2; 3];;
val h : [ `Duplicate_keys of int list | `Ok of (int, int) Hashtbl.t ] = `Ok <abstr>
let h =
match h with
| `Ok x -> x
| `Duplicate_keys _ -> failwith ""
in
Hashtbl.find_exn h 1;;
- : int = 2
val create_with_key :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
get_key:('r -> 'a) ->
'r list ->
[ `Ok of ('a, 'r) t | `Duplicate_keys of 'a list ]
create_with_key ~get_key [x1;...;xn]
= of_alist [get_key x1, x1; ...; get_key xn, xn]
val create_with_key_or_error :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
get_key:('r -> 'a) ->
'r list ->
('a, 'r) t Or_error.t
val create_with_key_exn :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
get_key:('r -> 'a) ->
'r list ->
('a, 'r) t
val group :
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'a) ->
get_key:('r -> 'a) ->
get_data:('r -> 'b) ->
combine:('b -> 'b -> 'b) ->
'r list ->
('a, 'b) t
Like create_mapped
, applies the get_key
and get_data
functions to the 'r
list
to create the initial keys and values, respectively, for the new hashtable -- and then, like add_multi
, folds together values belonging to the same keys. Here, though, the function used for the folding is given by combine
(instead of just being a cons
).
Example:
Hashtbl.group (module Int)
~get_key:(fun x -> x / 2)
~get_data:(fun x -> x)
~combine:(fun x y -> x * y)
[ 1; 2; 3; 4]
|> Hashtbl.to_alist;;
- : (int * int) list = [(2, 4); (1, 6); (0, 1)]
Accessors
val clear : (_, _) t -> unit
val copy : ('a, 'b) t -> ('a, 'b) t
val fold : ('a, 'b) t -> init:'c -> f:(key:'a key -> data:'b -> 'c -> 'c) -> 'c
Attempting to modify (set
, remove
, etc.) the hashtable during iteration (fold
, iter
, iter_keys
, iteri
) will raise an exception.
val iter_keys : ('a, _) t -> f:('a key -> unit) -> unit
val iter : (_, 'b) t -> f:('b -> unit) -> unit
val iteri : ('a, 'b) t -> f:(key:'a key -> data:'b -> unit) -> unit
Iterates over both keys and values.
Example:
let h = Hashtbl.of_alist_exn (module Int) [(1, 4); (5, 6)] in
Hashtbl.iteri h ~f:(fun ~key ~data ->
print_endline (Printf.sprintf "%d-%d" key data));;
1-4
5-6
- : unit = ()
val existsi : ('a, 'b) t -> f:(key:'a key -> data:'b -> bool) -> bool
val exists : (_, 'b) t -> f:('b -> bool) -> bool
val for_alli : ('a, 'b) t -> f:(key:'a key -> data:'b -> bool) -> bool
val for_all : (_, 'b) t -> f:('b -> bool) -> bool
val counti : ('a, 'b) t -> f:(key:'a key -> data:'b -> bool) -> int
val count : (_, 'b) t -> f:('b -> bool) -> int
val length : (_, _) t -> int
val is_empty : (_, _) t -> bool
val mem : ('a, _) t -> 'a key -> bool
val remove : ('a, _) t -> 'a key -> unit
val set : ('a, 'b) t -> key:'a key -> data:'b -> unit
Sets the given key
to data
.
val add : ('a, 'b) t -> key:'a key -> data:'b -> [ `Ok | `Duplicate ]
add
and add_exn
leave the table unchanged if the key was already present.
val add_exn : ('a, 'b) t -> key:'a key -> data:'b -> unit
val change : ('a, 'b) t -> 'a key -> f:('b option -> 'b option) -> unit
change t key ~f
changes t
's value for key
to be f (find t key)
.
val update : ('a, 'b) t -> 'a key -> f:('b option -> 'b) -> unit
update t key ~f
is change t key ~f:(fun o -> Some (f o))
.
val map : ('a, 'b) t -> f:('b -> 'c) -> ('a, 'c) t
map t f
returns a new table with values replaced by the result of applying f
to the current values.
Example:
let h = Hashtbl.of_alist_exn (module Int) [(1, 4); (5, 6)] in
let h' = Hashtbl.map h ~f:(fun x -> x * 2) in
Hashtbl.to_alist h';;
- : (int * int) list = [(5, 12); (1, 8)]
val mapi : ('a, 'b) t -> f:(key:'a key -> data:'b -> 'c) -> ('a, 'c) t
Like map
, but the function f
takes both key and data as arguments.
val filter_map : ('a, 'b) t -> f:('b -> 'c option) -> ('a, 'c) t
Returns a new table by filtering the given table's values by f
: the keys for which f
applied to the current value returns Some
are kept, and those for which it returns None
are discarded.
Example:
let h = Hashtbl.of_alist_exn (module Int) [(1, 4); (5, 6)] in
Hashtbl.filter_map h ~f:(fun x -> if x > 5 then Some x else None)
|> Hashtbl.to_alist;;
- : (int * int) list = [(5, 6)]
val filter_mapi :
('a, 'b) t ->
f:(key:'a key -> data:'b -> 'c option) ->
('a, 'c) t
Like filter_map
, but the function f
takes both key and data as arguments.
val filter_keys : ('a, 'b) t -> f:('a key -> bool) -> ('a, 'b) t
val filter : ('a, 'b) t -> f:('b -> bool) -> ('a, 'b) t
val filteri : ('a, 'b) t -> f:(key:'a key -> data:'b -> bool) -> ('a, 'b) t
val partition_map :
('a, 'b) t ->
f:('b -> [ `Fst of 'c | `Snd of 'd ]) ->
('a, 'c) t * ('a, 'd) t
Returns new tables with bound values partitioned by f
applied to the bound values.
val partition_mapi :
('a, 'b) t ->
f:(key:'a key -> data:'b -> [ `Fst of 'c | `Snd of 'd ]) ->
('a, 'c) t * ('a, 'd) t
Like partition_map
, but the function f
takes both key and data as arguments.
val partition_tf : ('a, 'b) t -> f:('b -> bool) -> ('a, 'b) t * ('a, 'b) t
Returns a pair of tables (t1, t2)
, where t1
contains all the elements of the initial table which satisfy the predicate f
, and t2
contains the rest.
val partitioni_tf :
('a, 'b) t ->
f:(key:'a key -> data:'b -> bool) ->
('a, 'b) t * ('a, 'b) t
Like partition_tf
, but the function f
takes both key and data as arguments.
val find_or_add : ('a, 'b) t -> 'a key -> default:(unit -> 'b) -> 'b
find_or_add t k ~default
returns the data associated with key k
if it is in the table t
, and otherwise assigns k
the value returned by default ()
.
val findi_or_add : ('a, 'b) t -> 'a key -> default:('a key -> 'b) -> 'b
Like find_or_add
but default
takes the key as an argument.
val find : ('a, 'b) t -> 'a key -> 'b option
find t k
returns Some
(the current binding) of k
in t
, or None
if no such binding exists.
val find_exn : ('a, 'b) t -> 'a key -> 'b
find_exn t k
returns the current binding of k
in t
, or raises Caml.Not_found
or Not_found_s
if no such binding exists.
val find_and_call :
('a, 'b) t ->
'a key ->
if_found:('b -> 'c) ->
if_not_found:('a key -> 'c) ->
'c
find_and_call t k ~if_found ~if_not_found
is equivalent to:
match find t k with Some v -> if_found v | None -> if_not_found k
except that it doesn't allocate the option.
val findi_and_call :
('a, 'b) t ->
'a key ->
if_found:(key:'a key -> data:'b -> 'c) ->
if_not_found:('a key -> 'c) ->
'c
val find_and_remove : ('a, 'b) t -> 'a key -> 'b option
find_and_remove t k
returns Some (the current binding) of k in t and removes it, or None is no such binding exists.
val merge :
('k, 'a) t ->
('k, 'b) t ->
f:
(key:'k key ->
[ `Left of 'a | `Right of 'b | `Both of 'a * 'b ] ->
'c option) ->
('k, 'c) t
Merges two hashtables.
The result of merge f h1 h2
has as keys the set of all k
in the union of the sets of keys of h1
and h2
for which d(k)
is not None, where:
d(k) =
f ~key:k (Some d1) None
if k
in h1
maps to d1, and h2
does not have data for k
;
f ~key:k None (Some d2)
if k
in h2
maps to d2, and h1
does not have data for k
;
f ~key:k (Some d1) (Some d2)
otherwise, where k
in h1
maps to d1
and k
in h2
maps to d2
.
Each key k
is mapped to a single piece of data x
, where d(k) = Some x
.
Example:
let h1 = Hashtbl.of_alist_exn (module Int) [(1, 5); (2, 3232)] in
let h2 = Hashtbl.of_alist_exn (module Int) [(1, 3)] in
Hashtbl.merge h1 h2 ~f:(fun ~key:_ -> function
| `Left x -> Some (`Left x)
| `Right x -> Some (`Right x)
| `Both (x, y) -> if x=y then None else Some (`Both (x,y))
) |> Hashtbl.to_alist;;
- : (int * [> `Both of int * int | `Left of int | `Right of int ]) list =
[(2, `Left 3232); (1, `Both (5, 3))]
type 'a merge_into_action =
| Remove
| Set_to of 'a
Every key
in src
will be removed or set in dst
according to the return value of f
.
val merge_into :
src:('k, 'a) t ->
dst:('k, 'b) t ->
f:(key:'k key -> 'a -> 'b option -> 'b merge_into_action) ->
unit
val keys : ('a, _) t -> 'a key list
Returns the list of all keys for given hashtable.
val data : (_, 'b) t -> 'b list
Returns the list of all data for given hashtable.
val filter_keys_inplace : ('a, _) t -> f:('a key -> bool) -> unit
filter_inplace t ~f
removes all the elements from t
that don't satisfy f
.
val filter_inplace : (_, 'b) t -> f:('b -> bool) -> unit
val filteri_inplace : ('a, 'b) t -> f:(key:'a key -> data:'b -> bool) -> unit
val map_inplace : (_, 'b) t -> f:('b -> 'b) -> unit
map_inplace t ~f
applies f
to all elements in t
, transforming them in place.
val mapi_inplace : ('a, 'b) t -> f:(key:'a key -> data:'b -> 'b) -> unit
val filter_map_inplace : (_, 'b) t -> f:('b -> 'b option) -> unit
filter_map_inplace
combines the effects of map_inplace
and filter_inplace
.
val filter_mapi_inplace :
('a, 'b) t ->
f:(key:'a key -> data:'b -> 'b option) ->
unit
val equal : ('a, 'b) t -> ('a, 'b) t -> ('b -> 'b -> bool) -> bool
equal t1 t2 f
and similar t1 t2 f
both return true iff t1
and t2
have the same keys and for all keys k
, f (find_exn t1 k) (find_exn t2 k)
. equal
and similar
only differ in their types.
val similar : ('a, 'b1) t -> ('a, 'b2) t -> ('b1 -> 'b2 -> bool) -> bool
val to_alist : ('a, 'b) t -> ('a key * 'b) list
Returns the list of all (key, data) pairs for given hashtable.
val incr : ?by:int -> ?remove_if_zero:bool -> ('a, int) t -> 'a key -> unit
remove_if_zero
's default is false
.
val decr : ?by:int -> ?remove_if_zero:bool -> ('a, int) t -> 'a key -> unit
val add_multi : ('a, 'b list) t -> key:'a key -> data:'b -> unit
add_multi t ~key ~data
if key
is present in the table then cons data
on the list, otherwise add key
with a single element list.
val remove_multi : ('a, _ list) t -> 'a key -> unit
remove_multi t key
updates the table, removing the head of the list bound to key
. If the list has only one element (or is empty) then the binding is removed.
val find_multi : ('a, 'b list) t -> 'a key -> 'b list
find_multi t key
returns the empty list if key
is not present in the table, returns t
's values for key
otherwise.
val hashable_s :
('key, _) t ->
(module Base__.Hashtbl_intf.Key
with type t = 'key)
include Invariant.S2 with type ('a, 'b) t := ('a, 'b) t
val invariant : ('a -> unit) -> ('b -> unit) -> ('a, 'b) t -> unit
module type Key = sig ... end
module type Multi = sig ... end
module type S_poly = sig ... end
type nonrec ('key, 'data, 'z) create_options =
?growth_allowed:bool ->
?size:int ->
(module Base__.Hashtbl_intf.Key with type t = 'key) ->
'z
module M (K : T.T) : sig ... end
M
is meant to be used in combination with OCaml applicative functor types: