Module type `Set.S_poly`

include Base__.Set_intf.Accessors1

include Container.S1

type 'a t

val mem : 'a t -> 'a -> equal:('a -> 'a -> bool) -> bool: Checks whether the provided element is there, using equal.

val length : 'a t -> int
val is_empty : 'a t -> bool
val iter : 'a t -> f:('a -> unit) -> unit
val fold : 'a t -> init:'accum -> f:('accum -> 'a -> 'accum) -> 'accum: fold t ~init ~f returns f (... f (f (f init e1) e2) e3 ...) en, where e1..en are the elements of t

val fold_result : 'a t -> init:'accum -> f:('accum -> 'a -> ('accum, 'e) Result.t) -> ('accum, 'e) Result.t: fold_result t ~init ~f is a short-circuiting version of fold that runs in the Result monad. If f returns an Error _, that value is returned without any additional invocations of f.

val fold_until : 'a t -> init:'accum -> f:('accum -> 'a -> ('accum, 'final) Base__.Container_intf.Continue_or_stop.t) -> finish:('accum -> 'final) -> 'final

fold_until t ~init ~f ~finish is a short-circuiting version of fold. If f returns Stop _ the computation ceases and results in that value. If f returns Continue _, the fold will proceed. If f never returns Stop _, the final result is computed by finish.

Example:

type maybe_negative =
  | Found_negative of int
  | All_nonnegative of { sum : int }

(** [first_neg_or_sum list] returns the first negative number in [list], if any,
    otherwise returns the sum of the list. *)
let first_neg_or_sum =
  List.fold_until ~init:0
    ~f:(fun sum x ->
      if x < 0
      then Stop (Found_negative x)
      else Continue (sum + x))
    ~finish:(fun sum -> All_nonnegative { sum })
;;

let x = first_neg_or_sum [1; 2; 3; 4; 5]
val x : maybe_negative = All_nonnegative {sum = 15}

let y = first_neg_or_sum [1; 2; -3; 4; 5]
val y : maybe_negative = Found_negative -3

val exists : 'a t -> f:('a -> bool) -> bool: Returns true if and only if there exists an element for which the provided function evaluates to true. This is a short-circuiting operation.

val for_all : 'a t -> f:('a -> bool) -> bool: Returns true if and only if the provided function evaluates to true for all elements. This is a short-circuiting operation.

val count : 'a t -> f:('a -> bool) -> int: Returns the number of elements for which the provided function evaluates to true.

val sum : (module Base__.Container_intf.Summable with type t = 'sum) -> 'a t -> f:('a -> 'sum) -> 'sum: Returns the sum of f i for all i in the container.

val find : 'a t -> f:('a -> bool) -> 'a option: Returns as an option the first element for which f evaluates to true.

val find_map : 'a t -> f:('a -> 'b option) -> 'b option: Returns the first evaluation of f that returns Some, and returns None if there is no such element.

val to_list : 'a t -> 'a list
val to_array : 'a t -> 'a array
val min_elt : 'a t -> compare:('a -> 'a -> int) -> 'a option: Returns a minimum (resp maximum) element from the collection using the provided compare function, or None if the collection is empty. In case of a tie, the first element encountered while traversing the collection is returned. The implementation uses fold so it has the same complexity as fold.

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

type 'a tree
type comparator_witness

val invariants : _ t -> bool
val mem : 'a t -> 'a -> bool
val add : 'a t -> 'a -> 'a t
val remove : 'a t -> 'a -> 'a t
val union : 'a t -> 'a t -> 'a t
val inter : 'a t -> 'a t -> 'a t
val diff : 'a t -> 'a t -> 'a t
val symmetric_diff : 'a t -> 'a t -> ('a, 'a) Either.t Sequence.t
val compare_direct : 'a t -> 'a t -> int
val equal : 'a t -> 'a t -> bool
val is_subset : 'a t -> of_:'a t -> bool

type 'a named

module Named : sig ... end

val fold_until : 'a t -> init:'b -> f:('b -> 'a -> ('b, 'final) Base__.Set_intf.Continue_or_stop.t) -> finish:('b -> 'final) -> 'final
val fold_right : 'a t -> init:'b -> f:('a -> 'b -> 'b) -> 'b
val iter2 : 'a t -> 'a t -> f:([ `Left of 'a | `Right of 'a | `Both of 'a * 'a ] -> unit) -> unit
val filter : 'a t -> f:('a -> bool) -> 'a t
val partition_tf : 'a t -> f:('a -> bool) -> 'a t * 'a t
val elements : 'a t -> 'a list
val min_elt : 'a t -> 'a option
val min_elt_exn : 'a t -> 'a
val max_elt : 'a t -> 'a option
val max_elt_exn : 'a t -> 'a
val choose : 'a t -> 'a option
val choose_exn : 'a t -> 'a
val split : 'a t -> 'a -> 'a t * 'a option * 'a t
val group_by : 'a t -> equiv:('a -> 'a -> bool) -> 'a t list
val find_exn : 'a t -> f:('a -> bool) -> 'a
val nth : 'a t -> int -> 'a option
val remove_index : 'a t -> int -> 'a t
val to_tree : 'a t -> 'a tree
val to_sequence : ?⁠order:[ `Increasing | `Decreasing ] -> ?⁠greater_or_equal_to:'a -> ?⁠less_or_equal_to:'a -> 'a t -> 'a Sequence.t
val binary_search : 'a t -> compare:('a -> 'key -> int) -> [ `Last_strictly_less_than | `Last_less_than_or_equal_to | `Last_equal_to | `First_equal_to | `First_greater_than_or_equal_to | `First_strictly_greater_than ] -> 'key -> 'a option
val binary_search_segmented : 'a t -> segment_of:('a -> [ `Left | `Right ]) -> [ `Last_on_left | `First_on_right ] -> 'a option
val merge_to_sequence : ?⁠order:[ `Increasing | `Decreasing ] -> ?⁠greater_or_equal_to:'a -> ?⁠less_or_equal_to:'a -> 'a t -> 'a t -> ('a, 'a) Base__.Set_intf.Merge_to_sequence_element.t Sequence.t

include Base__.Set_intf.Creators1 with type 'a t := 'a t with type 'a tree := 'a tree with type comparator_witness := comparator_witness

type ('a, 'cmp) set
type 'a t
type 'a tree
type comparator_witness

val empty : 'a t
val singleton : 'a -> 'a t
val union_list : 'a t list -> 'a t
val of_list : 'a list -> 'a t
val of_array : 'a array -> 'a t
val of_sorted_array : 'a array -> 'a t Or_error.t
val of_sorted_array_unchecked : 'a array -> 'a t
val of_increasing_iterator_unchecked : len:int -> f:(int -> 'a) -> 'a t
val stable_dedup_list : 'a list -> 'a list
val map : ('a, _) set -> f:('a -> 'b) -> 'b t
val filter_map : ('a, _) set -> f:('a -> 'b option) -> 'b t
val of_tree : 'a tree -> 'a t