package containers

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package containers
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Module
Module type
Parameter
Class
Class type
include Set.S
type elt

The type of the set elements.

type t

The type of sets.

val empty : t

The empty set.

val is_empty : t -> bool

Test whether a set is empty or not.

val mem : elt -> t -> bool

mem x s tests whether x belongs to the set s.

val add : elt -> t -> t

add x s returns a set containing all elements of s, plus x. If x was already in s, s is returned unchanged (the result of the function is then physically equal to s).

  • before 4.03

    Physical equality was not ensured.

val singleton : elt -> t

singleton x returns the one-element set containing only x.

val remove : elt -> t -> t

remove x s returns a set containing all elements of s, except x. If x was not in s, s is returned unchanged (the result of the function is then physically equal to s).

  • before 4.03

    Physical equality was not ensured.

val union : t -> t -> t

Set union.

val inter : t -> t -> t

Set intersection.

val diff : t -> t -> t

Set difference.

val compare : t -> t -> int

Total ordering between sets. Can be used as the ordering function for doing sets of sets.

val equal : t -> t -> bool

equal s1 s2 tests whether the sets s1 and s2 are equal, that is, contain equal elements.

val subset : t -> t -> bool

subset s1 s2 tests whether the set s1 is a subset of the set s2.

val iter : (elt -> unit) -> t -> unit

iter f s applies f in turn to all elements of s. The elements of s are presented to f in increasing order with respect to the ordering over the type of the elements.

val map : (elt -> elt) -> t -> t

map f s is the set whose elements are f a0,f a1... f aN, where a0,a1...aN are the elements of s.

The elements are passed to f in increasing order with respect to the ordering over the type of the elements.

If no element of s is changed by f, s is returned unchanged. (If each output of f is physically equal to its input, the returned set is physically equal to s.)

  • since 4.04.0
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a

fold f s a computes (f xN ... (f x2 (f x1 a))...), where x1 ... xN are the elements of s, in increasing order.

val for_all : (elt -> bool) -> t -> bool

for_all p s checks if all elements of the set satisfy the predicate p.

val exists : (elt -> bool) -> t -> bool

exists p s checks if at least one element of the set satisfies the predicate p.

val filter : (elt -> bool) -> t -> t

filter p s returns the set of all elements in s that satisfy predicate p. If p satisfies every element in s, s is returned unchanged (the result of the function is then physically equal to s).

  • before 4.03

    Physical equality was not ensured.

val partition : (elt -> bool) -> t -> t * t

partition p s returns a pair of sets (s1, s2), where s1 is the set of all the elements of s that satisfy the predicate p, and s2 is the set of all the elements of s that do not satisfy p.

val cardinal : t -> int

Return the number of elements of a set.

val elements : t -> elt list

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

val min_elt : t -> elt

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

val max_elt : t -> elt

Same as Set.S.min_elt, but returns the largest element of the given set.

val choose : t -> elt

Return one element of the given set, or raise Not_found if the set is empty. Which element is chosen is unspecified, but equal elements will be chosen for equal sets.

val split : elt -> t -> t * bool * t

split x s returns a triple (l, present, r), where l is the set of elements of s that are strictly less than x; r is the set of elements of s that are strictly greater than x; present is false if s contains no element equal to x, or true if s contains an element equal to x.

val find : elt -> t -> elt

find x s returns the element of s equal to x (according to Ord.compare), or raise Not_found if no such element exists.

  • since 4.01.0
val min_elt_opt : t -> elt option

Safe version of min_elt.

  • since 1.5
val max_elt_opt : t -> elt option

Safe version of max_elt.

  • since 1.5
val choose_opt : t -> elt option

Safe version of choose.

  • since 1.5
val find_opt : elt -> t -> elt option

Safe version of find.

  • since 1.5
val find_first : (elt -> bool) -> t -> elt

Find minimum element satisfying predicate.

  • since 1.5
val find_first_opt : (elt -> bool) -> t -> elt option

Safe version of find_first.

  • since 1.5
val find_last : (elt -> bool) -> t -> elt

Find maximum element satisfying predicate.

  • since 1.5
val find_last_opt : (elt -> bool) -> t -> elt option

Safe version of find_last.

  • since 1.5
val of_seq : elt sequence -> t

Build a set from the given sequence of elements.

val add_seq : t -> elt sequence -> t
  • since 0.14
val to_seq : t -> elt sequence

to_seq t converts the set t to a sequence of the elements.

val of_list : elt list -> t

Build a set from the given list of elements, added in order using add.

val add_list : t -> elt list -> t
  • since 0.14
val to_list : t -> elt list

to_list t converts the set t to a list of the elements.

val pp : ?start:string -> ?stop:string -> ?sep:string -> elt printer -> t printer

Print the set.

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