ligo/vendors/Red-Black_Trees/PolySet.mli

69 lines
2.3 KiB
OCaml

(* Polymorphic ordered sets
This module does not provide a function to merge polymorphic
sets. Use the functorial interface of the module [Set] of the OCaml
standard library instead.
No deletion is provided.
*)
type 'elt t
type 'elt set = 'elt t
(* The value of the call [create ~cmp] is an empty set with [cmp]
being the comparison over the (future) keys.
The value [empty] is identical to the value of the call [create
~cmp:Pervasives.compare].
*)
val create : cmp:('elt -> 'elt -> int) -> 'elt t
val empty : 'elt t -> 'elt t
(* Emptiness *)
val is_empty : 'elt t -> bool
(* The value of the call [add elt set] is the union of the set [set]
and the singleton set containing [elt]. If there is an element [y]
in [set] such that [cmp y elt = true], where [cmp] is the
comparison function of the set [set] (see [create]), then [y] is
replaced by [elt]. *)
val add : 'elt -> 'elt t -> 'elt t
(* The value of the call [find elt set] is the element [y] of set
[set] such that [cmp y elt = true], where [cmp] is the comparison
function of [set] (see [create]). If [elt] is not in [set], then
the exception [Not_found] is raised. *)
val find : 'elt -> 'elt t -> 'elt
(* The call [find_opt elt set] is similar to [find elt set], except
that [None] is returned instead of the [Not_found] exception being
raised, otherwise it is an optional element. *)
val find_opt : 'elt -> 'elt t -> 'elt option
(* The value of the call [element set] is the list of elements of the
set [set] in increasing order (with respect to the total comparison
function used to create the set). *)
val elements : 'elt t -> 'elt list
(* The side-effect of evaluating the call [iter f set] is the
successive side-effects of the calls [f elt], for all the elements
[elt] of the set [set], sorted in increasing order (with respect to
the total comparison function used to create the set). *)
val iter : ('elt -> unit) -> 'elt t -> unit
(* The value of the call [fold_inc f set ~init] is the result of
iterating the function [f] on all the elements of the set [set] in
increasing order (with respect to the total comparison function
used to create the set), accumulating partial results from the
initial value [init]. *)
val fold_inc : ('elt -> acc:'a -> 'a) -> 'elt t -> init:'a -> 'a