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(*  Title:      Pure/General/queue.ML
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    Author:     Makarius
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Efficient queues.
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*)
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signature QUEUE =
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sig
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  type 'a T
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  val empty: 'a T
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  val is_empty: 'a T -> bool
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  val content: 'a T -> 'a list
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  val enqueue: 'a -> 'a T -> 'a T
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  val dequeue: 'a T -> 'a * 'a T
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end;
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structure Queue: QUEUE =
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struct
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datatype 'a T = Queue of 'a list * 'a list;
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val empty = Queue ([], []);
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fun is_empty (Queue ([], [])) = true
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  | is_empty _ = false;
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fun content (Queue (xs, ys)) = ys @ rev xs;
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fun enqueue x (Queue (xs, ys)) = Queue (x :: xs, ys);
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fun dequeue (Queue (xs, y :: ys)) = (y, Queue (xs, ys))
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  | dequeue (Queue (xs as _ :: _, [])) = let val y :: ys = rev xs in (y, Queue ([], ys)) end
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  | dequeue (Queue ([], [])) = raise Empty;
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end;
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