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8c23e0a4 1/* A Fibonacci heap datatype.
8ff82b06 2 Copyright 1998, 1999, 2000, 2001, 2002 Free Software Foundation, Inc.
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3 Contributed by Daniel Berlin (dan@cgsoftware.com).
4
88c1082b 5This file is part of GCC.
8c23e0a4 6
88c1082b 7GCC is free software; you can redistribute it and/or modify it
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8under the terms of the GNU General Public License as published by
9the Free Software Foundation; either version 2, or (at your option)
10any later version.
11
88c1082b 12GCC is distributed in the hope that it will be useful, but
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13WITHOUT ANY WARRANTY; without even the implied warranty of
14MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15General Public License for more details.
16
17You should have received a copy of the GNU General Public License
88c1082b 18along with GCC; see the file COPYING. If not, write to
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19the Free Software Foundation, 59 Temple Place - Suite 330,
20Boston, MA 02111-1307, USA. */
21
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22/* Fibonacci heaps are somewhat complex, but, there's an article in
23 DDJ that explains them pretty well:
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24
25 http://www.ddj.com/articles/1997/9701/9701o/9701o.htm?topic=algoritms
26
d7a0e799 27 Introduction to algorithms by Corman and Rivest also goes over them.
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28
29 The original paper that introduced them is "Fibonacci heaps and their
30 uses in improved network optimization algorithms" by Tarjan and
31 Fredman (JACM 34(3), July 1987).
32
33 Amortized and real worst case time for operations:
34
35 ExtractMin: O(lg n) amortized. O(n) worst case.
36 DecreaseKey: O(1) amortized. O(lg n) worst case.
37 Insert: O(2) amortized. O(1) actual.
d7a0e799 38 Union: O(1) amortized. O(1) actual. */
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39
40#ifndef _FIBHEAP_H_
41#define _FIBHEAP_H_
42
8ff82b06 43#include "ansidecl.h"
8c23e0a4 44
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45typedef long fibheapkey_t;
46
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47typedef struct fibheap
48{
49 size_t nodes;
50 struct fibnode *min;
51 struct fibnode *root;
52} *fibheap_t;
d7a0e799 53
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54typedef struct fibnode
55{
56 struct fibnode *parent;
57 struct fibnode *child;
58 struct fibnode *left;
59 struct fibnode *right;
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60 fibheapkey_t key;
61 void *data;
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62 unsigned int degree : 31;
63 unsigned int mark : 1;
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64} *fibnode_t;
65
66extern fibheap_t fibheap_new PARAMS ((void));
67extern fibnode_t fibheap_insert PARAMS ((fibheap_t, fibheapkey_t, void *));
68extern int fibheap_empty PARAMS ((fibheap_t));
69extern fibheapkey_t fibheap_min_key PARAMS ((fibheap_t));
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70extern fibheapkey_t fibheap_replace_key PARAMS ((fibheap_t, fibnode_t,
71 fibheapkey_t));
72extern void *fibheap_replace_key_data PARAMS ((fibheap_t, fibnode_t,
73 fibheapkey_t, void *));
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74extern void *fibheap_extract_min PARAMS ((fibheap_t));
75extern void *fibheap_min PARAMS ((fibheap_t));
76extern void *fibheap_replace_data PARAMS ((fibheap_t, fibnode_t, void *));
77extern void *fibheap_delete_node PARAMS ((fibheap_t, fibnode_t));
78extern void fibheap_delete PARAMS ((fibheap_t));
79extern fibheap_t fibheap_union PARAMS ((fibheap_t, fibheap_t));
d7a0e799 80
8c23e0a4 81#endif /* _FIBHEAP_H_ */