# Module Batteries.Deque

    module Deque: BatDeque

    type +'a dq

The type of double-ended queues

    type 'a t = 'a dq

A synonym for convenience

    include BatEnum.Enumerable

    include BatInterfaces.Mappable

    val size : 'a dq -> int

`size dq` is the number of elements in the `dq`. O(1)

###### Construction

    val empty : 'a dq

The empty deque.

    val cons : 'a -> 'a dq -> 'a dq

`cons x dq` adds `x` to the front of `dq`. O(1)

    val snoc : 'a dq -> 'a -> 'a dq

`snoc x dq` adds `x` to the rear of `dq`. O(1)

###### Deconstruction

    val front : 'a dq -> ('a * 'a dq) option

`front dq` returns `Some (x, dq')` iff `x` is at the front of `dq` and `dq'` is the rest of `dq` excluding `x`, and `None` if `dq` has no elements. O(1) amortized, O(n) worst case

    val rear : 'a dq -> ('a dq * 'a) option

`rear dq` returns `Some (dq', x)` iff `x` is at the rear of `dq` and `dq'` is the rest of `dq` excluding `x`, and `None` if `dq` has no elements. O(1) amortized, O(n) worst case

###### Basic operations

    val rev : 'a dq -> 'a dq

`rev dq` reverses `dq`. O(1)

    val is_empty : 'a dq -> bool

`is_empty dq` returns `false` iff `dq` has no elements. O(1)

    val at : ?backwards:bool -> 'a dq -> int -> 'a option

`at ~backwards dq k` returns the `k`th element of `dq`, from the front if `backwards` is false, and from the rear if `backwards` is true. By default, `backwards = false`. O(n)

    val map : ('a -> 'b) -> 'a dq -> 'b dq

`map f dq` returns a deque where every element `x` of `dq` has been replaces with `f x`. O(n)

    val mapi : (int -> 'a -> 'b) -> 'a dq -> 'b dq

`map f dq` returns a deque where every element `x` of `dq` has been replaces with `f n x`, where `n` is the position of `x` from the front of `dq`. O(n)

    val iter : ('a -> unit) -> 'a dq -> unit

`iter f dq` calls `f x` on each element `x` of `dq`. O(n)

    val iteri : (int -> 'a -> unit) -> 'a dq -> unit

`iteri f dq` calls `f n x` on each element `x` of `dq`. The first argument to `f` is the position of the element from the front of `dq`. O(n)

    val find : ?backwards:bool -> ('a -> bool) -> 'a dq -> (int * 'a) option

`find ~backwards f dq` returns `Some (n, x)` if `x` at position `n` is such that `f x` is true, or `None` if there is no such element. The position `n` is from the rear if `backwards` is true, and from the front if `backwards` is `false`. By default, `backwards` is `false`. O(n)

    val fold_left : ('acc -> 'a -> 'acc) -> 'acc -> 'a dq -> 'acc

`fold_left f acc dq` is equivalent to `List.fold_left f acc (to_list dq)`, but more efficient. O(n)

    val fold_right : ('a -> 'acc -> 'acc) -> 'a dq -> 'acc -> 'acc

`fold_right f dq acc` is equivalent to `List.fold_right f (to_list dq) acc`, but more efficient. O(n)

    val append : 'a dq -> 'a dq -> 'a dq

`append dq1 dq2` represents the concatenateion of `dq1` and `dq2`. O(min(m, n))

    val append_list : 'a dq -> 'a list -> 'a dq

`append_list dq l` is equivalent to `append dq (of_list l)`, but more efficient. O(min(m, n))

    val prepend_list : 'a list -> 'a dq -> 'a dq

`prepent_list l dq` is equivalent to `append (of_list l) dq`, but more efficient. O(min(m, n))

###### Transformation

    val of_list : 'a list -> 'a dq

`of_list l` is a deque representation of the elements of `l`. O(n)

    val to_list : 'a dq -> 'a list

`to_list dq` is a list representation of the elements of `dq`. O(n)

    val of_enum : 'a BatEnum.t -> 'a dq

`of_enum e` is a deque representation of the elements of `e`. Consumes the enumeration `e`. O(n)

    val enum : 'a dq -> 'a BatEnum.t

`enum dq` is an enumeration of the elements of `dq` from the front to the rear. This function is O(1), but generating each element of the enumeration is amortized O(1), and O(n) worst case.

###### Printing

    val print : ?first:string ->
           ?last:string ->
           ?sep:string -> ('a, 'b) BatIO.printer -> ('a dq, 'b) BatIO.printer

Print the contents of the deque. O(n)