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271 lines
8.2 KiB
Mathematica
271 lines
8.2 KiB
Mathematica
%---------------------------------------------------------------------------%
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% vim: ft=mercury ts=4 sw=4 et wm=0 tw=0
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%---------------------------------------------------------------------------%
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% Copyright (C) 1994-1995, 1997-1999, 2003-2006 The University of Melbourne.
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% This file may only be copied under the terms of the GNU Library General
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% Public License - see the file COPYING.LIB in the Mercury distribution.
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%---------------------------------------------------------------------------%
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%
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% File: queue.m.
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% Main author: fjh.
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% Stability: high.
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%
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% This file contains a `queue' ADT.
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% A queue holds a sequence of values, and provides operations
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% to insert values at the end of the queue (queue.put) and remove them from
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% the front of the queue (queue.get).
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%
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% This implementation is in terms of a pair of lists.
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% The put and get operations are amortized constant-time.
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%
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%--------------------------------------------------------------------------%
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%--------------------------------------------------------------------------%
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:- module queue.
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:- interface.
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:- import_module list.
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%--------------------------------------------------------------------------%
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:- type queue(T).
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% `queue.init(Queue)' is true iff `Queue' is an empty queue.
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%
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:- pred queue.init(queue(T)::out) is det.
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:- func queue.init = queue(T).
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% 'queue_equal(Q1, Q2)' is true iff Q1 and Q2 contain the same
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% elements in the same order.
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%
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:- pred queue.equal(queue(T)::in, queue(T)::in) is semidet.
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% `queue.is_empty(Queue)' is true iff `Queue' is an empty queue.
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%
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:- pred queue.is_empty(queue(T)::in) is semidet.
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% `queue.is_full(Queue)' is intended to be true iff `Queue' is a queue
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% whose capacity is exhausted. This implementation allows arbitrary-sized
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% queues, so queue.is_full always fails.
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%
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:- pred queue.is_full(queue(T)::in) is semidet.
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% `queue.put(Queue0, Elem, Queue)' is true iff `Queue' is the queue
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% which results from appending `Elem' onto the end of `Queue0'.
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%
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:- pred queue.put(queue(T)::in, T::in, queue(T)::out) is det.
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:- func queue.put(queue(T), T) = queue(T).
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% `queue.put_list(Queue0, Elems, Queue)' is true iff `Queue' is the queue
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% which results from inserting the items in the list `Elems' into `Queue0'.
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%
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:- pred queue.put_list(queue(T)::in, list(T)::in, queue(T)::out) is det.
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:- func queue.put_list(queue(T), list(T)) = queue(T).
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% `queue.first(Queue, Elem)' is true iff `Queue' is a non-empty queue
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% whose first element is `Elem'.
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%
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:- pred queue.first(queue(T)::in, T::out) is semidet.
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% `queue.get(Queue0, Elem, Queue)' is true iff `Queue0' is a non-empty
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% queue whose first element is `Elem', and `Queue' the queue which results
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% from removing that element from the front of `Queue0'.
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%
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:- pred queue.get(queue(T)::in, T::out, queue(T)::out) is semidet.
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% `queue.length(Queue, Length)' is true iff `Queue' is a queue
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% containing `Length' elements.
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%
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:- pred queue.length(queue(T)::in, int::out) is det.
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:- func queue.length(queue(T)) = int.
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% `queue.list_to_queue(List, Queue)' is true iff `Queue' is a queue
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% containing the elements of List, with the first element of List at
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% the head of the queue.
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%
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:- pred queue.list_to_queue(list(T)::in, queue(T)::out) is det.
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:- func queue.list_to_queue(list(T)) = queue(T).
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% A synonym for queue.list_to_queue/1.
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%
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:- func queue.from_list(list(T)) = queue(T).
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% `queue.to_list(Queue) = List' is the inverse of queue.from_list/1.
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%
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:- func queue.to_list(queue(T)) = list(T).
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% `queue.delete_all(Queue0, Elem, Queue)' is true iff `Queue' is the same
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% queue as `Queue0' with all occurrences of `Elem' removed from it.
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%
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:- pred queue.delete_all(queue(T)::in, T::in, queue(T)::out) is det.
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:- func queue.delete_all(queue(T), T) = queue(T).
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% `queue.put_on_front(Queue0, Elem) = Queue' pushes `Elem' on to
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% the front of `Queue0', giving `Queue'.
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%
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:- func queue.put_on_front(queue(T), T) = queue(T).
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:- pred queue.put_on_front(queue(T)::in, T::in, queue(T)::out) is det.
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% `queue.put_list_on_front(Queue0, Elems) = Queue' pushes `Elems'
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% on to the front of `Queue0', giving `Queue' (the Nth member
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% of `Elems' becomes the Nth member from the front of `Queue').
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%
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:- func queue.put_list_on_front(queue(T), list(T)) = queue(T).
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:- pred queue.put_list_on_front(queue(T)::in, list(T)::in, queue(T)::out)
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is det.
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% `queue.get_from_back(Queue0, Elem, Queue)' removes `Elem' from
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% the back of `Queue0', giving `Queue'.
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%
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:- pred queue.get_from_back(queue(T)::in, T::out, queue(T)::out) is semidet.
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%--------------------------------------------------------------------------%
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%--------------------------------------------------------------------------%
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:- implementation.
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:- import_module int.
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:- import_module pair.
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%--------------------------------------------------------------------------%
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% This implementation is in terms of a pair of lists. We impose the
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% extra constraint that the `off' list is empty if and only if the queue
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% is empty.
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:- type queue(T) == pair(list(T)).
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queue.init([] - []).
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queue.equal(On0 - Off0, On1 - Off1) :-
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list.reverse(On0, On0R),
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list.append(Off0, On0R, Q0),
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list.reverse(On1, On1R),
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list.append(Off1, On1R, Q1),
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Q0 = Q1.
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queue.is_empty(_ - []).
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queue.is_full(_) :-
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semidet_fail.
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queue.put(On0 - Off0, Elem, On - Off) :-
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(
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Off0 = [],
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On = On0,
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Off = [Elem]
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;
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Off0 = [_ | _],
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On = [Elem | On0],
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Off = Off0
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).
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queue.put_list(On0 - Off0, Xs, On - Off) :-
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(
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Off0 = [],
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On = On0,
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Off = Xs
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;
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Off0 = [_ | _],
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Off = Off0,
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queue.put_list_2(Xs, On0, On)
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).
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:- pred queue.put_list_2(list(T)::in, list(T)::in, list(T)::out) is det.
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queue.put_list_2([], On, On).
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queue.put_list_2([X | Xs], On0, On) :-
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queue.put_list_2(Xs, [X | On0], On).
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queue.first(_ - [Elem | _], Elem).
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queue.get(On0 - [Elem | Off0], Elem, On - Off) :-
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(
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Off0 = [],
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list.reverse(On0, Off),
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On = []
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;
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Off0 = [_ | _],
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On = On0,
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Off = Off0
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).
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queue.length(On - Off, Length) :-
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list.length(On, LengthOn),
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list.length(Off, LengthOff),
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Length = LengthOn + LengthOff.
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queue.list_to_queue(List, [] - List).
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queue.from_list(List) = [] - List.
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queue.to_list(On - Off) = Off ++ list.reverse(On).
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queue.delete_all(On0 - Off0, Elem, On - Off) :-
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list.delete_all(On0, Elem, On1),
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list.delete_all(Off0, Elem, Off1),
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(
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Off1 = [],
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list.reverse(On1, Off),
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On = []
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;
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Off1 = [_ | _],
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On = On1,
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Off = Off1
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).
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queue.put_on_front(On - Off, Elem, On - [Elem | Off]).
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queue.put_on_front(Queue0, Elem) = Queue :-
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queue.put_on_front(Queue0, Elem, Queue).
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queue.put_list_on_front(On - Off, Elems, On - (Elems ++ Off)).
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queue.put_list_on_front(Queue0, Elems) = Queue :-
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queue.put_list_on_front(Queue0, Elems, Queue).
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queue.get_from_back(On0 - Off0, Elem, On - Off) :-
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(
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% The On list is non-empty and the last element in the queue
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% is the head of the On list.
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On0 = [Elem | On],
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Off = Off0
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;
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% The On list is empty.
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On0 = [],
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(
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% The Off list contains a single element.
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Off0 = [Elem],
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On = [],
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Off = []
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;
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% The Off list contains two or more elements. We split it in two
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% and take the head of the new On list as Elem.
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Off0 = [_, _ | _],
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N = list.length(Off0),
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list.split_list(N / 2, Off0, Off, RevOn),
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[Elem | On] = list.reverse(RevOn)
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)
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).
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%--------------------------------------------------------------------------%
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%--------------------------------------------------------------------------%
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% Ralph Becket <rwab1@cl.cam.ac.uk> 29/04/99
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% Function forms added.
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queue.init = Q :-
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queue.init(Q).
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queue.put(Q1, T) = Q2 :-
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queue.put(Q1, T, Q2).
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queue.put_list(Q1, Xs) = Q2 :-
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queue.put_list(Q1, Xs, Q2).
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queue.length(Q) = N :-
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queue.length(Q, N).
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queue.list_to_queue(Xs) = Q :-
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queue.list_to_queue(Xs, Q).
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queue.delete_all(Q1, T) = Q2 :-
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queue.delete_all(Q1, T, Q2).
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