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8c23e0a4 1/* A Fibonacci heap datatype.
8d9254fc 2 Copyright (C) 1998-2020 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, 51 Franklin Street - Fifth Floor,
20Boston, MA 02110-1301, USA. */
8c23e0a4 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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45#ifdef __cplusplus
46extern "C" {
47#endif
48
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49typedef long fibheapkey_t;
50
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51typedef struct fibheap
52{
53 size_t nodes;
54 struct fibnode *min;
55 struct fibnode *root;
56} *fibheap_t;
d7a0e799 57
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58typedef struct fibnode
59{
60 struct fibnode *parent;
61 struct fibnode *child;
62 struct fibnode *left;
63 struct fibnode *right;
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64 fibheapkey_t key;
65 void *data;
d49d0907 66#if defined (__GNUC__) && (!defined (SIZEOF_INT) || SIZEOF_INT < 4)
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67 __extension__ unsigned long int degree : 31;
68 __extension__ unsigned long int mark : 1;
4fe5f182 69#else
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70 unsigned int degree : 31;
71 unsigned int mark : 1;
4fe5f182 72#endif
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73} *fibnode_t;
74
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75extern fibheap_t fibheap_new (void);
76extern fibnode_t fibheap_insert (fibheap_t, fibheapkey_t, void *);
77extern int fibheap_empty (fibheap_t);
78extern fibheapkey_t fibheap_min_key (fibheap_t);
79extern fibheapkey_t fibheap_replace_key (fibheap_t, fibnode_t,
80 fibheapkey_t);
81extern void *fibheap_replace_key_data (fibheap_t, fibnode_t,
82 fibheapkey_t, void *);
83extern void *fibheap_extract_min (fibheap_t);
84extern void *fibheap_min (fibheap_t);
85extern void *fibheap_replace_data (fibheap_t, fibnode_t, void *);
86extern void *fibheap_delete_node (fibheap_t, fibnode_t);
87extern void fibheap_delete (fibheap_t);
88extern fibheap_t fibheap_union (fibheap_t, fibheap_t);
d7a0e799 89
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90#ifdef __cplusplus
91}
92#endif
93
8c23e0a4 94#endif /* _FIBHEAP_H_ */