package asetmap

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Parameters
Signature

asetmap
- Asetmap
  - Map
    
    Make
    
    Ord
    
    Make_with_key_set
    
    Key_set
    
    Ord
    
    S
    
    S_with_key_set
  - Set
    
    Make
    
    Ord
    
    S

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Make_with_key_set (Ord) (Key_set) is a map data structure with keys of the totally ordered type Ord and key sets Key_set.

Parameters

module Ord : Map.OrderedType

module Key_set : Set.S with type elt = Ord.t

Signature

include S with type key = Ord.t

Map

include Map.S with type key = Ord.t

Maps

type key = Ord.t

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 add : key -> '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.

before 4.03
Physical equality was not ensured.

val add_to_list : key -> 'a -> 'a list t -> 'a list t

add_to_list key data m is m with key mapped to l such that l is data :: Map.find key m if key was bound in m and [v] otherwise.

since 5.1

val update : key -> ('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

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

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

since 3.12

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).

before 4.03
Physical equality was not ensured.

val merge : 
  (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

val union : (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

val cardinal : 'a t -> int

Return the number of bindings of a map.

since 3.12

Bindings

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

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

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

since 4.05

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

Searching

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 : (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 : (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 : (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 : (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

Traversing

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 bindings are passed to f in increasing order with respect to the ordering over the type of the keys.

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

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.

Transforming

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

val filter : (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)

since 3.12

before 4.03
Physical equality was not ensured.

val filter_map : (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

val partition : (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

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

Predicates and comparisons

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 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 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 for_all : (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

val exists : (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

Converting

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

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

find k m is the binding of k in m (if any).

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

get k m is like Map.S.find but raises Invalid_argument if k is not bound in m.

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

min_binding m is the smallest binding of m (if any).

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

get_min_binding is like min_binding but

raises Invalid_argument
on the empty map.

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

max_binding m is the greatest binding of m (if any).

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

get_min_binding is like max_binding but

raises Invalid_argument
on the empty map.

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

choose m is a binding of m (if any). Equal bindings are chosen for equal maps.

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

get_any_binding is like choose but

raises Invalid_argument
on the empty map.

Conversions

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

to_list m is the bindings of m in increasing key order.

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

of_list l is the map holding the bindings of l. If a key is bound more than once the last one takes over.

Pretty-printing

val pp : 
  ?sep:(Format.formatter -> unit -> unit) ->
  (Format.formatter -> (key * 'a) -> unit) ->
  Format.formatter ->
  'a t ->
  unit

pp ~sep pp_binding ppf m formats the bindings of m on ppf. Each binding is formatted with pp_binding and bindings are separated by sep (defaults to Format.pp_print_cut). If the map is empty leaves ppf untouched.

val dump : 
  (Format.formatter -> (key * 'a) -> unit) ->
  Format.formatter ->
  'a t ->
  unit

dump pp_binding prints an unspecified represention of m on ppf using pp_binding to print the bindings.

type key_set = Key_set.t

val dom : 'a t -> key_set

dom m is the domain of m.