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NAME

       Hashtbl - Hash tables and hash functions.

Module

       Module   Hashtbl

Documentation

       Module Hashtbl
        : sig end

       Hash tables and hash functions.

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

       === Generic interface ===

       type ('a, 'b) t

       The type of hash tables from type 'a to type 'b .

       val create : ?random:bool -> 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 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: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: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.

       Before4.00.0  the  random  parameter  was  not present and all hash tables were created in non-randomized
       mode.

       val clear : ('a, 'b) t -> unit

       Empty a hash table. Use reset instead of clear to shrink the size of the  bucket  table  to  its  initial
       size.

       val reset : ('a, 'b) t -> unit

       Empty a hash table and shrink the size of the bucket table to its initial size.

       Since 4.00.0

       val copy : ('a, 'b) t -> ('a, 'b) t

       Return a copy of the given hashtable.

       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 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_opt : ('a, 'b) t -> 'a -> 'b option

       Hashtbl.find_opt tbl x returns the current binding of x in tbl , or None if no such binding exists.

       Since 4.05

       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.

       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 defined if the hash table is modified by f during the iteration.

       val filter_map_inplace : ('a -> 'b -> 'b option) -> ('a, 'b) t -> unit

       Hashtbl.filter_map_inplace f tbl applies f to all bindings in table tbl and update each binding depending
       on the result of f .  If f returns None , the binding is discarded.  If it returns  Some  new_val  ,  the
       binding is update to associate the key to new_val .

       Other comments for Hashtbl.iter apply as well.

       Since 4.03.0

       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.

       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 defined if the hash table is modified by f during the iteration.

       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.

       val randomize : unit -> unit

       After  a  call  to  Hashtbl.randomize()  ,  hash  tables  are  created  in  randomized  mode  by default:
       Hashtbl.create returns randomized hash tables, unless the ~random:false optional parameter is given.  The
       same effect can be achieved by setting the R parameter in the OCAMLRUNPARAM environment 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.

       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 4.00.0

       val is_randomized : unit -> bool

       return if the tables are currently created in randomized mode by default

       Since 4.03.0

       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 4.00.0

       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.

       Since 4.00.0

       === Functorial interface ===

       ===  The  functorial  interface  allows  the  use  of  specific comparison and hash functions, either for
       performance/security concerns, or because keys are not hashable/comparable with the polymorphic builtins.
       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.   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,  you   must   use
       IntHashtbl.length. ===

       module type HashedType = sig end

       The input signature of the functor Hashtbl.Make .

       module type S = sig end

       The output signature of the functor Hashtbl.Make .

       module Make : functor (H : HashedType) -> sig end

       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.   Since  the  hash  function  is not seeded, the create operation of the result structure always
       returns non-randomized hash tables.

       module type SeededHashedType = sig end

       The input signature of the functor Hashtbl.MakeSeeded .

       Since 4.00.0

       module type SeededS = sig end

       The output signature of the functor Hashtbl.MakeSeeded .

       Since 4.00.0

       module MakeSeeded : functor (H : SeededHashedType) -> sig end

       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 create operation of the result  structure  supports  the  ~random  optional  parameter  and
       returns  randomized  hash  tables  if  ~random:true  is  passed  or  if randomization is globally on (see
       Hashtbl.randomize ).

       Since 4.00.0

       === 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 4.00.0

       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.  If total as
       specified by the user exceeds a  certain  value,  currently  256,  then  it  is  capped  to  that  value.
       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 4.00.0