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Map.S(3)			 OCaml library			      Map.S(3)

NAME
       Map.S - Output signature of the functor Map.Make.

Module type
       Module type   Map.S

Documentation
       Module type S
	= sig end

       Output signature of the functor Map.Make .

       type key

       The type of the map keys.

       type +'a t

       The type of maps from type key to type 'a .

       val empty : 'a t

       The empty map.

       val is_empty : 'a t -> bool

       Test whether a map is empty or not.

       val mem : key -> 'a t -> bool

       mem  x  m returns true if m contains a binding for x , and false other‐
       wise.

       val add : key -> 'a -> 'a t -> 'a t

       add x y m returns a map containing the same bindings  as	 m  ,  plus  a
       binding	of x to y . If x was already bound in m , its previous binding
       disappears.

       val singleton : key -> 'a -> 'a t

       singleton x y returns the one-element map that contains a binding y for
       x .

       Since 3.12.0

       val remove : key -> 'a t -> 'a t

       remove x m returns a map containing the same bindings as m , except for
       x which is unbound in the returned map.

       val merge : (key -> 'a option -> 'b option -> 'c option) -> 'a t ->  'b
       t -> 'c t

       merge  f	 m1 m2 computes a map whose keys is a subset of keys of m1 and
       of m2 . The presence of each such binding, and the corresponding value,
       is determined with the function f .

       Since 3.12.0

       val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int

       Total  ordering	between	 maps.	The first argument is a total ordering
       used to compare data associated with equal keys in the two maps.

       val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool

       equal cmp m1 m2 tests whether the maps m1 and m2 are  equal,  that  is,
       contain	equal  keys  and  associate  them with equal data.  cmp is the
       equality predicate used to compare the data associated with the keys.

       val iter : (key -> 'a -> unit) -> 'a t -> unit

       iter f m applies f to all bindings in map m .  f receives  the  key  as
       first argument, and the associated value as second argument.  The bind‐
       ings are passed to f in increasing order with respect to	 the  ordering
       over the type of the keys.

       val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

       fold f m a computes (f kN dN ... (f k1 d1 a)...)	 , where k1 ... kN are
       the keys of all bindings in m (in increasing order), and d1 ... dN  are
       the associated data.

       val for_all : (key -> 'a -> bool) -> 'a t -> bool

       for_all p m checks if all the bindings of the map satisfy the predicate
       p .

       Since 3.12.0

       val exists : (key -> 'a -> bool) -> 'a t -> bool

       exists p m checks if at least one binding of the map satisfy the predi‐
       cate p .

       Since 3.12.0

       val filter : (key -> 'a -> bool) -> 'a t -> 'a t

       filter  p  m  returns  the  map with all the bindings in m that satisfy
       predicate p .

       Since 3.12.0

       val partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t

       partition p m returns a pair of maps (m1, m2) , where m1	 contains  all
       the bindings of s that satisfy the predicate p , and m2 is the map with
       all the bindings of s that do not satisfy p .

       Since 3.12.0

       val cardinal : 'a t -> int

       Return the number of bindings of a map.

       Since 3.12.0

       val bindings : 'a t -> (key * 'a) list

       Return the list of all bindings of the given map.  The returned list is
       sorted  in  increasing order with respect to the ordering Ord.compare ,
       where Ord is the argument given to Map.Make .

       Since 3.12.0

       val min_binding : 'a t -> key * 'a

       Return the smallest binding of the  given  map  (with  respect  to  the
       Ord.compare ordering), or raise Not_found if the map is empty.

       Since 3.12.0

       val max_binding : 'a t -> key * 'a

       Same  as	 Map.S.min_binding  ,  but  returns the largest binding of the
       given map.

       Since 3.12.0

       val choose : 'a t -> key * 'a

       Return one binding of the given map, or raise Not_found if the  map  is
       empty.  Which binding is chosen is unspecified, but equal bindings will
       be chosen for equal maps.

       Since 3.12.0

       val split : key -> 'a t -> 'a t * 'a option * 'a t

       split x m returns a triple (l, data, r) , where l is the map  with  all
       the bindings of m whose key is strictly less than x ; r is the map with
       all the bindings of m whose key is strictly greater than x  ;  data  is
       None if m contains no binding for x , or Some v if m binds v to x .

       Since 3.12.0

       val find : key -> 'a t -> 'a

       find x m returns the current binding of x in m , or raises Not_found if
       no such binding exists.

       val map : ('a -> 'b) -> 'a t -> 'b t

       map f m returns a map with same domain as  m  ,	where  the  associated
       value  a	 of  all  bindings of m has been replaced by the result of the
       application of f to a .	The bindings are passed	 to  f	in  increasing
       order with respect to the ordering over the type of the keys.

       val mapi : (key -> 'a -> 'b) -> 'a t -> 'b t

       Same as Map.S.map , but the function receives as arguments both the key
       and the associated value for each binding of the map.

OCamldoc			  2013-10-24			      Map.S(3)
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