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5.10  Module Hashtbl

Hash tables and hash functions.

Hash tables are hashed association tables, with in-place modification.



Generic interface

type (='a:type, ='b:type, ='c:level, #'d:level) t
The type of hash tables from type 'a to type 'b.

val create : 'a int -> ('b, 'c, 'a, 'd) 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.

val clear : ('a, 'b, 'c, 'c) t -{'c ||}-> unit
Empty a hash table.

val add : ('a, 'b, 'c, 'c) t -> 'd -> 'b -{'c ||}-> unit
          with 'd < 'a
          and  content('a), content('d) < 'c

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, 'c, 'd) t -> ('e, 'f, 'd, 'g) t
           with 'a < 'e
           and  'b < 'f
           and  'c < 'd
Return a copy of the given hashtable.

val find : ('a, 'b, 'c, 'd) t -> 'e -{'f | Not_found: 'f |}-> 'g
           with 'e ~ 'a
           and  content('a), 'c, 'd, content('e) < level('g)
           and  'b < 'g
           and  content('a), 'c, 'd, content('e) < 'f
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, 'c, 'd) t -> 'e -> ('b, 'd) list
               with 'a ~ 'e
               and  content('a), 'c, content('e) < 'd
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, 'c, 'd) t -> 'e -> 'd bool
          with 'a ~ 'e
          and  content('a), 'c, content('e) < 'd
Hashtbl.mem tbl x checks if x is bound in tbl.

val remove : ('a, 'b, 'c, 'c) t -> 'd -{'c ||}-> unit
             with 'a ~ 'd
             and  content('a), content('d) < 'c
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, 'c, 'c) t -> 'd -> 'b -{'c ||}-> unit
              with 'd < 'a
              and  content('a), content('d) < 'c
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 | 'c | 'd}-> 'e -{'f | 'c | 'f}-> 'g) ->
           ('a, 'e, 'h, 'd) t -{'d | 'c |}-> unit
           with content('c), 'd, 'h < 'f
           and  content('c), 'd, 'h < 'b
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. The order in which the bindings are passed to f is unspecified. Each binding is presented exactly once to f.

val fold : ('a -{'b | 'c | 'd}-> 'e -{'f | 'c | 'g}-> 'h -{'i | 'c | 'j}-> 'h) ->
           ('a, 'e, 'k, 'd) t -> 'h -{'d | 'c |}-> 'h
           with content('c), 'd, 'g, 'j, 'k < 'i
           and  content('c), 'd, 'g, 'k < 'f
           and  content('c), 'd, 'k < 'b
           and  content('c), 'd, 'g, 'j, 'k < level('h)
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. The order in which the bindings are passed to f is unspecified. Each binding is presented exactly once to f.

Module type HashedType
The input signature of the functor Hashtbl.Make.
module type HashedType = sig

type (#'a:level) t
The type of the hashtable keys.

val equal : 'a t -> 'a t -> 'a bool
The equality predicate used to compare keys.

val hash : 'a t -> 'a 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, and ((==), Hashtbl.hash) for comparing objects by addresses (e.g. for mutable or cyclic keys).

end

Module type S
The output signature of the functor Hashtbl.Make.
module type S = sig

type (#'a:level) key

type (='a:level, ='b:type, ='c:level, #'d:level) t

val create : 'a int -> ('b, 'c, 'a, 'd) t

val clear : ('a, 'b, 'c, 'c) t -{'c ||}-> unit

val copy : ('a, 'b, 'c, 'd) t -> ('e, 'f, 'd, 'g) t
           with 'c < 'd
           and  'a < 'e
           and  'b < 'f

val add : ('a, 'b, 'c, 'c) t -> 'a key -> 'b -{'c ||}-> unit
          with 'a < 'c

val remove : ('a, 'b, 'c, 'c) t -> 'c key -{'c ||}-> unit
             with 'a < 'c

val find : ('a, 'b, 'c, 'd) t -> 'd key -{'e | Not_found: 'e |}-> 'f
           with 'a, 'c, 'd < 'e
           and  'a, 'c, 'd < level('f)
           and  'b < 'f

val find_all : ('a, 'b, 'c, 'd) t -> 'd key -> ('b, 'd) list
               with 'a, 'c < 'd

val replace : ('a, 'b, 'c, 'c) t -> 'a key -> 'b -{'c ||}-> unit
              with 'a < 'c

val mem : ('a, 'b, 'c, 'd) t -> 'd key -> 'd bool
          with 'a, 'c < 'd

val iter : ('a key -{'b | 'c | 'd}-> 'e -{'f | 'c | 'f}-> 'g) ->
           ('a, 'e, 'h, 'd) t -{'d | 'c |}-> unit
           with content('c), 'd, 'h < 'f
           and  content('c), 'd, 'h < 'b

val fold : ('a key -{'b | 'c | 'd}->
            'e -{'f | 'c | 'g}-> 'h -{'i | 'c | 'j}-> 'h) ->
           ('a, 'e, 'k, 'd) t -> 'h -{'d | 'c |}-> 'h
           with content('c), 'd, 'g, 'j, 'k < 'i
           and  content('c), 'd, 'g, 'k < 'f
           and  content('c), 'd, 'k < 'b
           and  content('c), 'd, 'g, 'j, 'k < level('h)

end

module Make : functor (H : HashedType) -> S with type 'a key = 'a H.t
Functor building an implementation of the hashtable structure. 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 polymorphic hash primitive

val hash : 'a -> 'b int
           with content('a) < 'b
Hashtbl.hash x associates a positive integer to any value of any type. It is guaranteed that if x = y, then hash x = hash y. Moreover, hash always terminates, even on cyclic structures.

val hash_param : 'a int -> 'a int -> 'b -> 'a int
                 with content('b) < 'a
Hashtbl.hash_param n m x computes a hash value for x, with the same properties as for hash. The two extra parameters n and m give more precise control over hashing. Hashing performs a depth-first, right-to-left traversal of the structure x, stopping after n meaningful nodes were encountered, or m nodes, meaningful or not, were encountered. Meaningful nodes are: integers; floating-point numbers; strings; characters; booleans; and constant constructors. Larger values of m and n 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 m and n govern the tradeoff between accuracy and speed.



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