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|
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
(** Heaps *)
module type Ordered = sig
type t
val compare : t -> t -> int
end
module type S =sig
(** Type of functional heaps *)
type t
(** Type of elements *)
type elt
(** The empty heap *)
val empty : t
(** [add x h] returns a new heap containing the elements of [h], plus [x];
complexity {% $ %}O(log(n)){% $ %} *)
val add : elt -> t -> t
(** [maximum h] returns the maximum element of [h]; raises [EmptyHeap]
when [h] is empty; complexity {% $ %}O(1){% $ %} *)
val maximum : t -> elt
(** [remove h] returns a new heap containing the elements of [h], except
the maximum of [h]; raises [EmptyHeap] when [h] is empty;
complexity {% $ %}O(log(n)){% $ %} *)
val remove : t -> t
(** usual iterators and combinators; elements are presented in
arbitrary order *)
val iter : (elt -> unit) -> t -> unit
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
end
exception EmptyHeap
(** {6 Functional implementation. } *)
module Functional(X: Ordered) : S with type elt=X.t
|
