package tezos-protocol-environment

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Sets over ordered types.

This module implements the set data structure, given a total ordering function over the set elements. All operations over sets are purely applicative (no side-effects). The implementation uses balanced binary trees, and is therefore reasonably efficient: insertion and membership take time logarithmic in the size of the set, for instance.

The Make functor constructs implementations for any type, given a compare function. For instance:

module IntPairs =
struct
  type t = int * int
  let compare (x0,y0) (x1,y1) =
    match Stdlib.compare x0 x1 with
      0 -> Stdlib.compare y0 y1
    | c -> c
end

module PairsSet = Set.Make(IntPairs)

let m = PairsSet.(empty |> add (2,3) |> add (5,7) |> add (11,13))

This creates a new module PairsSet, with a new type PairsSet.t of sets of int * int.

module type OrderedType = sig ... end

Input signature of the functor Set.Make.

module Make (Ord : OrderedType) : S.SET with type elt = Ord.t

Functor building an implementation of the set structure given a totally ordered type.