ocaml-core / base / core / lib / core_set_intf.ml

open Sexplib

module type Elt = Comparator.Pre

module type Accessors = sig
  include Container.Generic_phantom
  val mem : ('a, _) t -> 'a elt -> bool (* override [Container]'s [mem] *)
  val add    : ('a, 'comparator) t -> 'a elt -> ('a, 'comparator) t
  val remove : ('a, 'comparator) t -> 'a elt -> ('a, 'comparator) t
  val union   : ('a, 'comparator) t -> ('a, 'comparator) t -> ('a, 'comparator) t
  val inter   : ('a, 'comparator) t -> ('a, 'comparator) t -> ('a, 'comparator) t
  val diff    : ('a, 'comparator) t -> ('a, 'comparator) t -> ('a, 'comparator) t
  val compare : ('a, 'comparator) t -> ('a, 'comparator) t -> int
  val equal   : ('a, 'comparator) t -> ('a, 'comparator) t -> bool
  (* [subset x y] returns true iff [x] is a subset of [y]. *)
  val subset : ('a, 'comparator) t -> ('a, 'comparator) t -> bool
  val fold_until
    :  ('a, _) t
    -> init:'b
    -> f:('b -> 'a elt -> [ `Continue of 'b | `Stop of 'b ])
    -> 'b
  val filter : ('a, 'comparator) t -> f:('a elt -> bool) -> ('a, 'comparator) t
  (** if [res = partition_tf set ~f] then [fst res] are the elements on which [f]
      produced [true], and [snd res] are the elements on which [f] produces [false] *)
  val partition_tf
    :  ('a, 'comparator) t
    -> f:('a elt -> bool)
    -> ('a, 'comparator) t * ('a, 'comparator) t

  val elements : ('a, _) t -> 'a elt list

  val min_elt     : ('a, _) t -> 'a elt option
  val min_elt_exn : ('a, _) t -> 'a elt
  val max_elt     : ('a, _) t -> 'a elt option
  val max_elt_exn : ('a, _) t -> 'a elt

  (* returns an arbitrary element, or None if the set is empty *)
  val choose     : ('a, _) t -> 'a elt option
  val choose_exn : ('a, _) t -> 'a elt

  (** [split x set] produces a triple [triple] where [fst3 triple] is the set of elements
      strictly less than [x], [snd3 triple] = [mem set x], and [trd3 triple] is the set of
      elements strictly larger than [x]. *)
  val split
    :  ('a, 'comparator) t
    -> 'a elt
    -> ('a, 'comparator) t * bool * ('a, 'comparator) t

  (** if [equiv] is an equivalence predicate, then [group_by set ~equiv] produces a list
      of equivalence classes (i.e., a set-theoretic quotient).  E.g.,

      [let chars = Set.of_list ['A'; 'a'; 'b'; 'c'] in
      let equiv c c' = Char.equal (Char.uppercase c) (Char.uppercase c') in
      group_by chars ~equiv]

      produces

      [Set.of_list['A';'a']; Set.singleton 'b'; Set.singleton 'c']

      Runs in O(n^2) time. *)
  val group_by
    :  ('a, 'comparator) t
    -> equiv:('a elt -> 'a elt -> bool)
    -> ('a, 'comparator) t list

  val find_exn : ('a, _) t -> f:('a elt -> bool) -> 'a elt
  (* Returns the ith smallest element in the set in O(log n) time.  The smallest element
     is element 0. *)
  val find_index : ('a, _) t -> int -> 'a elt option
  val remove_index : ('a, 'comparator) t -> int -> ('a, 'comparator) t
end

type ('key, 'comparator, 'z) create_options_without_comparator =
  ('key, 'comparator, 'z) Core_map_intf.create_options_without_comparator

type ('key, 'comparator, 'z) create_options_with_comparator_required =
  ('key, 'comparator, 'z) Core_map_intf.create_options_with_comparator_required

module type Creators = sig
  type ('a, 'comparator) set
  type ('a, 'comparator) t
  type 'a elt
  type ('a, 'comparator, 'z) create_options

  (* [equal x (union_list (List.map ~f:Set.singleton (elements x)))] *)
  val empty : ('a, 'comparator, ('a, 'comparator) t) create_options
  val singleton : ('a, 'comparator, 'a elt -> ('a, 'comparator) t) create_options
  val union_list
    :  ('a, 'comparator,
        ('a, 'comparator) t list -> ('a, 'comparator) t
    ) create_options
  val of_list  : ('a, 'comparator, 'a elt list  -> ('a, 'comparator) t) create_options
  val of_array : ('a, 'comparator, 'a elt array -> ('a, 'comparator) t) create_options
  (* [stable_dedup_list] is here rather than in the List module because the implementation
     relies crucially on sets, and because doing so allows one to avoid uses of
     polymorphic comparison by instantiating the functor at a different implementation of
     Comparator and using the resulting [stable_dedup_list]. *)
  val stable_dedup_list : ('a, _, 'a elt list -> 'a elt list) create_options
  val map
    : ('b, 'comparator,
       ('a, _) set -> f:('a -> 'b elt) -> ('b, 'comparator) t
    ) create_options
  val filter_map
    : ('b, 'comparator,
       ('a, _) set -> f:('a -> 'b elt option) -> ('b, 'comparator) t
    ) create_options
end

module type S = sig
  module Elt : Comparator.S

  type ('a, 'comparator) set
  type t = (Elt.t, Elt.comparator) set with sexp
  type ('a, 'comparator) t_ = t
  type 'a elt_ = Elt.t

  include Creators
    with type ('a, 'comparator) set := ('a, 'comparator) set
    with type ('a, 'comparator) t := ('a, 'comparator) t_
    with type 'a elt := 'a elt_
    with type ('a, 'b, 'c) create_options := ('a, 'b, 'c) create_options_without_comparator

  include Accessors
    with type ('a, 'b) t := ('a, 'b) t_
    with type 'a elt := 'a elt_
end

module type S_binable = sig
  include S
  include Binable.S with type t := t
end
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