Provided by: ocaml-man_4.14.1-1ubuntu1_all bug

NAME

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

Module type

       Module type   MoreLabels.Map.S

Documentation

       Module type S
        = sig end

       Output signature of the functor MoreLabels.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 otherwise.

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

       add ~key ~data m returns a map containing the same bindings as m , plus a binding of key to data . If key
       was already bound in m to a value that is physically equal to data , m is returned unchanged (the  result
       of the function is then physically equal to m ). Otherwise, the previous binding of key in m disappears.

       Before4.03 Physical equality was not ensured.

       val update : key:key -> f:('a option -> 'a option) -> 'a t -> 'a t

       update  ~key  ~f  m  returns  a  map  containing the same bindings as m , except for the binding of key .
       Depending on the value of y where y is f (find_opt key m) , the binding  of  key  is  added,  removed  or
       updated.  If  y  is  None  ,  the  binding is removed if it exists; otherwise, if y is Some z then key is
       associated to z in the resulting map.  If key was already bound in m to a value that is physically  equal
       to z , m is returned unchanged (the result of the function is then physically equal to m ).

       Since 4.06.0

       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.  If x was not in m , m is returned unchanged (the result of the function is then physically
       equal to m ).

       Before4.03 Physical equality was not ensured.

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

       merge  ~f m1 m2 computes a map whose keys are a subset of the keys of m1 and of m2 . The presence of each
       such binding, and the corresponding value, is determined with the function f .  In terms of the  find_opt
       operation,  we  have  find_opt  x  (merge  f m1 m2) = f x (find_opt x m1) (find_opt x m2) for any key x ,
       provided that f x None None = None .

       Since 3.12.0

       val union : f:(key -> 'a -> 'a -> 'a option) -> 'a t -> 'a t -> 'a t

       union ~f m1 m2 computes a map whose keys are a subset of the keys of m1  and  of  m2  .   When  the  same
       binding  is defined in both arguments, the function f is used to combine them.  This is a special case of
       merge : union f m1 m2 is equivalent to merge f' m1 m2 , where

       - f' _key None None = None

       - f' _key (Some v) None = Some v

       - f' _key None (Some v) = Some v

       - f' key (Some v1) (Some v2) = f key v1 v2

       Since 4.03.0

       val compare : cmp:('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 : cmp:('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 : f:(key:key -> data:'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 bindings are passed to f in increasing order with respect to the ordering
       over the type of the keys.

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

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

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

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

       Since 3.12.0

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

       exists ~f m checks if at least one binding of the map satisfies the predicate f .

       Since 3.12.0

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

       filter  ~f  m returns the map with all the bindings in m that satisfy predicate p . If every binding in m
       satisfies f , m is returned unchanged (the result of the function is then physically equal to m )

       Before4.03 Physical equality was not ensured.

       Since 3.12.0

       val filter_map : f:(key -> 'a -> 'b option) -> 'a t -> 'b t

       filter_map ~f m applies the function f to every binding of m , and builds a map  from  the  results.  For
       each binding (k, v) in the input map:

       -if f k v is None then k is not in the result,

       -if f k v is Some v' then the binding (k, v') is in the output map.

       For example, the following function on maps whose values are lists
                 filter_map
                   (fun _k li -> match li with [] -> None | _::tl -> Some tl)
                   m

       drops  all  bindings  of m whose value is an empty list, and pops the first element of each value that is
       non-empty.

       Since 4.11.0

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

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

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

       Since 3.12.0

       val min_binding_opt : 'a t -> (key * 'a) option

       Return  the binding with the smallest key in the given map (with respect to the Ord.compare ordering), or
       None if the map is empty.

       Since 4.05

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

       Same as MoreLabels.Map.S.min_binding , but returns the binding with the largest key in the given map.

       Since 3.12.0

       val max_binding_opt : 'a t -> (key * 'a) option

       Same as MoreLabels.Map.S.min_binding_opt , but returns the binding with the largest key in the given map.

       Since 4.05

       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 choose_opt : 'a t -> (key * 'a) option

       Return one binding of the given map, or None if the map is empty. Which binding is chosen is unspecified,
       but equal bindings will be chosen for equal maps.

       Since 4.05

       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 value of x in m , or raises Not_found if no binding for x exists.

       val find_opt : key -> 'a t -> 'a option

       find_opt x m returns Some v if the current value of x in m is v , or None if no binding for x exists.

       Since 4.05

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

       find_first ~f m , where f is a monotonically increasing function, returns  the  binding  of  m  with  the
       lowest key k such that f k , or raises Not_found if no such key exists.

       For  example,  find_first (fun k -> Ord.compare k x >= 0) m will return the first binding k, v of m where
       Ord.compare k x >= 0 (intuitively: k >= x ), or raise Not_found if x is greater than any element of m .

       Since 4.05

       val find_first_opt : f:(key -> bool) -> 'a t -> (key * 'a) option

       find_first_opt ~f m , where f is a monotonically increasing function, returns an  option  containing  the
       binding of m with the lowest key k such that f k , or None if no such key exists.

       Since 4.05

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

       find_last  ~f  m  ,  where  f  is  a monotonically decreasing function, returns the binding of m with the
       highest key k such that f k , or raises Not_found if no such key exists.

       Since 4.05

       val find_last_opt : f:(key -> bool) -> 'a t -> (key * 'a) option

       find_last_opt ~f m , where f is a monotonically decreasing function, returns  an  option  containing  the
       binding of m with the highest key k such that f k , or None if no such key exists.

       Since 4.05

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

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

   Maps and Sequences
       val to_seq : 'a t -> (key * 'a) Seq.t

       Iterate on the whole map, in ascending order of keys

       Since 4.07

       val to_rev_seq : 'a t -> (key * 'a) Seq.t

       Iterate on the whole map, in descending order of keys

       Since 4.12

       val to_seq_from : key -> 'a t -> (key * 'a) Seq.t

       to_seq_from k m iterates on a subset of the bindings of m , in ascending order of keys,  from  key  k  or
       above.

       Since 4.07

       val add_seq : (key * 'a) Seq.t -> 'a t -> 'a t

       Add the given bindings to the map, in order.

       Since 4.07

       val of_seq : (key * 'a) Seq.t -> 'a t

       Build a map from the given bindings

       Since 4.07