2008-04-22 23:51:32 +02:00
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%%%----------------------------------------------------------------------
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%%% File : treap.erl
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%%% Author : Alexey Shchepin <alexey@process-one.net>
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%%% Purpose : Treaps implementation
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%%% Created : 22 Apr 2008 by Alexey Shchepin <alexey@process-one.net>
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%%%
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%%%
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2011-02-14 13:47:22 +01:00
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%%% ejabberd, Copyright (C) 2002-2011 ProcessOne
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2008-04-22 23:51:32 +02:00
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%%%
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%%% This program is free software; you can redistribute it and/or
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%%% modify it under the terms of the GNU General Public License as
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%%% published by the Free Software Foundation; either version 2 of the
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%%% License, or (at your option) any later version.
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%%%
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%%% This program is distributed in the hope that it will be useful,
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%%% but WITHOUT ANY WARRANTY; without even the implied warranty of
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%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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%%% General Public License for more details.
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%%%
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%%% You should have received a copy of the GNU General Public License
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%%% along with this program; if not, write to the Free Software
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%%% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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%%% 02111-1307 USA
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%%%
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%%%----------------------------------------------------------------------
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-module(treap).
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-export([empty/0,
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insert/4,
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delete/2,
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delete_root/1,
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get_root/1,
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lookup/2,
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2009-07-22 08:46:07 +02:00
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is_empty/1,
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2010-03-17 15:47:13 +01:00
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fold/3,
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from_list/1,
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to_list/1]).
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2008-04-22 23:51:32 +02:00
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empty() ->
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nil.
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insert(Key, Priority, Value, Tree) ->
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HashKey = {erlang:phash2(Key), Key},
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insert1(Tree, HashKey, Priority, Value).
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insert1(nil, HashKey, Priority, Value) ->
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{HashKey, Priority, Value, nil, nil};
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2009-07-29 05:40:56 +02:00
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insert1({HashKey1, Priority1, Value1, Left, Right} = Tree,
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HashKey, Priority, Value) ->
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if
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HashKey < HashKey1 ->
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heapify({HashKey1, Priority1, Value1,
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insert1(Left, HashKey, Priority, Value),
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Right});
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HashKey > HashKey1 ->
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heapify({HashKey1, Priority1, Value1,
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Left,
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insert1(Right, HashKey, Priority, Value)});
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Priority == Priority1 ->
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{HashKey, Priority, Value, Left, Right};
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true ->
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insert1(delete_root(Tree), HashKey, Priority, Value)
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2008-04-22 23:51:32 +02:00
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end.
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heapify({_HashKey, _Priority, _Value, nil, nil} = Tree) ->
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Tree;
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heapify({HashKey, Priority, Value,
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nil = Left,
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{HashKeyR, PriorityR, ValueR, LeftR, RightR}} = Tree) ->
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if
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PriorityR > Priority ->
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{HashKeyR, PriorityR, ValueR,
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{HashKey, Priority, Value, Left, LeftR},
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RightR};
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true ->
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Tree
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end;
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heapify({HashKey, Priority, Value,
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{HashKeyL, PriorityL, ValueL, LeftL, RightL},
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nil = Right} = Tree) ->
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if
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PriorityL > Priority ->
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{HashKeyL, PriorityL, ValueL,
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LeftL,
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{HashKey, Priority, Value, RightL, Right}};
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true ->
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Tree
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end;
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heapify({HashKey, Priority, Value,
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{HashKeyL, PriorityL, ValueL, LeftL, RightL} = Left,
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{HashKeyR, PriorityR, ValueR, LeftR, RightR} = Right} = Tree) ->
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if
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PriorityR > Priority ->
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{HashKeyR, PriorityR, ValueR,
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{HashKey, Priority, Value, Left, LeftR},
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RightR};
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PriorityL > Priority ->
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{HashKeyL, PriorityL, ValueL,
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LeftL,
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{HashKey, Priority, Value, RightL, Right}};
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true ->
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Tree
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end.
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delete(Key, Tree) ->
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HashKey = {erlang:phash2(Key), Key},
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delete1(HashKey, Tree).
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delete1(_HashKey, nil) ->
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nil;
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delete1(HashKey, {HashKey1, Priority1, Value1, Left, Right} = Tree) ->
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if
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HashKey < HashKey1 ->
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{HashKey1, Priority1, Value1, delete1(HashKey, Left), Right};
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HashKey > HashKey1 ->
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{HashKey1, Priority1, Value1, Left, delete1(HashKey, Right)};
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true ->
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delete_root(Tree)
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end.
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delete_root({HashKey, Priority, Value, Left, Right}) ->
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case {Left, Right} of
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{nil, nil} ->
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nil;
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{_, nil} ->
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Left;
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{nil, _} ->
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Right;
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{{HashKeyL, PriorityL, ValueL, LeftL, RightL},
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{HashKeyR, PriorityR, ValueR, LeftR, RightR}} ->
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if
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PriorityL > PriorityR ->
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{HashKeyL, PriorityL, ValueL,
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LeftL,
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delete_root({HashKey, Priority, Value, RightL, Right})};
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true ->
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{HashKeyR, PriorityR, ValueR,
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delete_root({HashKey, Priority, Value, Left, LeftR}),
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RightR}
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end
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end.
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is_empty(nil) ->
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true;
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is_empty({_HashKey, _Priority, _Value, _Left, _Right}) ->
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false.
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get_root({{_Hash, Key}, Priority, Value, _Left, _Right}) ->
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{Key, Priority, Value}.
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lookup(Key, Tree) ->
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HashKey = {erlang:phash2(Key), Key},
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lookup1(Tree, HashKey).
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lookup1(nil, _HashKey) ->
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error;
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lookup1({HashKey1, Priority1, Value1, Left, Right}, HashKey) ->
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if
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HashKey < HashKey1 ->
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lookup1(Left, HashKey);
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HashKey > HashKey1 ->
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lookup1(Right, HashKey);
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true ->
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{ok, Priority1, Value1}
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end.
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2009-07-22 08:46:07 +02:00
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fold(_F, Acc, nil) ->
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Acc;
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fold(F, Acc, {{_Hash, Key}, Priority, Value, Left, Right}) ->
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Acc1 = F({Key, Priority, Value}, Acc),
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Acc2 = fold(F, Acc1, Left),
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fold(F, Acc2, Right).
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2010-03-17 15:47:13 +01:00
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to_list(Tree) ->
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to_list(Tree, []).
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to_list(nil, Acc) ->
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Acc;
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to_list(Tree, Acc) ->
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Root = get_root(Tree),
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to_list(delete_root(Tree), [Root|Acc]).
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from_list(List) ->
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from_list(List, nil).
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from_list([{Key, Priority, Value}|Tail], Tree) ->
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from_list(Tail, insert(Key, Priority, Value, Tree));
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from_list([], Tree) ->
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Tree.
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