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