(***********************************************************************) (* *) (* OCaml *) (* *) (* Francois Pottier, projet Cristal, INRIA Rocquencourt *) (* *) (* Copyright 2002 Institut National de Recherche en Informatique et *) (* en Automatique. All rights reserved. This file is distributed *) (* under the terms of the GNU Library General Public License, with *) (* the special exception on linking described in file ../LICENSE. *) (* *) (***********************************************************************) exception Empty (* OCaml currently does not allow the components of a sum type to be mutable. Yet, for optimal space efficiency, we must have cons cells whose [next] field is mutable. This leads us to define a type of cyclic lists, so as to eliminate the [Nil] case and the sum type. *) type 'a cell = { content: 'a; mutable next: 'a cell } (* A queue is a reference to either nothing or some cell of a cyclic list. By convention, that cell is to be viewed as the last cell in the queue. The first cell in the queue is then found in constant time: it is the next cell in the cyclic list. The queue's length is also recorded, so as to make [length] a constant-time operation. The [tail] field should really be of type ['a cell option], but then it would be [None] when [length] is 0 and [Some] otherwise, leading to redundant memory allocation and accesses. We avoid this overhead by filling [tail] with a dummy value when [length] is 0. Of course, this requires bending the type system's arm slightly, because it does not have dependent sums. *) type 'a t = { mutable length: int; mutable tail: 'a cell } let create () = { length = 0; tail = Obj.magic None } let clear q = q.length <- 0; q.tail <- Obj.magic None let add x q = if q.length = 0 then let rec cell = { content = x; next = cell } in q.length <- 1; q.tail <- cell else let tail = q.tail in let head = tail.next in let cell = { content = x; next = head } in q.length <- q.length + 1; tail.next <- cell; q.tail <- cell let push = add let peek q = if q.length = 0 then raise Empty else q.tail.next.content let top = peek let take q = if q.length = 0 then raise Empty; q.length <- q.length - 1; let tail = q.tail in let head = tail.next in if head == tail then q.tail <- Obj.magic None else tail.next <- head.next; head.content let pop = take let copy q = if q.length = 0 then create() else let tail = q.tail in let rec tail' = { content = tail.content; next = tail' } in let rec copy prev cell = if cell != tail then let res = { content = cell.content; next = tail' } in prev.next <- res; copy res cell.next in copy tail' tail.next; { length = q.length; tail = tail' } let is_empty q = q.length = 0 let length q = q.length let iter f q = if q.length > 0 then let tail = q.tail in let rec iter cell = f cell.content; if cell != tail then iter cell.next in iter tail.next let fold f accu q = if q.length = 0 then accu else let tail = q.tail in let rec fold accu cell = let accu = f accu cell.content in if cell == tail then accu else fold accu cell.next in fold accu tail.next let transfer q1 q2 = let length1 = q1.length in if length1 > 0 then let tail1 = q1.tail in clear q1; if q2.length > 0 then begin let tail2 = q2.tail in let head1 = tail1.next in let head2 = tail2.next in tail1.next <- head2; tail2.next <- head1 end; q2.length <- q2.length + length1; q2.tail <- tail1