| 1 |
227 |
jeremybenn |
/* A Fibonacci heap datatype.
|
| 2 |
|
|
Copyright 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2009
|
| 3 |
|
|
Free Software Foundation, Inc.
|
| 4 |
|
|
Contributed by Daniel Berlin (dan@cgsoftware.com).
|
| 5 |
|
|
|
| 6 |
|
|
This file is part of GCC.
|
| 7 |
|
|
|
| 8 |
|
|
GCC is free software; you can redistribute it and/or modify it
|
| 9 |
|
|
under the terms of the GNU General Public License as published by
|
| 10 |
|
|
the Free Software Foundation; either version 2, or (at your option)
|
| 11 |
|
|
any later version.
|
| 12 |
|
|
|
| 13 |
|
|
GCC is distributed in the hope that it will be useful, but
|
| 14 |
|
|
WITHOUT ANY WARRANTY; without even the implied warranty of
|
| 15 |
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
| 16 |
|
|
General Public License for more details.
|
| 17 |
|
|
|
| 18 |
|
|
You should have received a copy of the GNU General Public License
|
| 19 |
|
|
along with GCC; see the file COPYING. If not, write to
|
| 20 |
|
|
the Free Software Foundation, 51 Franklin Street - Fifth Floor,
|
| 21 |
|
|
Boston, MA 02110-1301, USA. */
|
| 22 |
|
|
|
| 23 |
|
|
/* Fibonacci heaps are somewhat complex, but, there's an article in
|
| 24 |
|
|
DDJ that explains them pretty well:
|
| 25 |
|
|
|
| 26 |
|
|
http://www.ddj.com/articles/1997/9701/9701o/9701o.htm?topic=algoritms
|
| 27 |
|
|
|
| 28 |
|
|
Introduction to algorithms by Corman and Rivest also goes over them.
|
| 29 |
|
|
|
| 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).
|
| 33 |
|
|
|
| 34 |
|
|
Amortized and real worst case time for operations:
|
| 35 |
|
|
|
| 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. */
|
| 40 |
|
|
|
| 41 |
|
|
#ifndef _FIBHEAP_H_
|
| 42 |
|
|
#define _FIBHEAP_H_
|
| 43 |
|
|
|
| 44 |
|
|
#include "ansidecl.h"
|
| 45 |
|
|
|
| 46 |
|
|
#ifdef __cplusplus
|
| 47 |
|
|
extern "C" {
|
| 48 |
|
|
#endif
|
| 49 |
|
|
|
| 50 |
|
|
typedef long fibheapkey_t;
|
| 51 |
|
|
|
| 52 |
|
|
typedef struct fibheap
|
| 53 |
|
|
{
|
| 54 |
|
|
size_t nodes;
|
| 55 |
|
|
struct fibnode *min;
|
| 56 |
|
|
struct fibnode *root;
|
| 57 |
|
|
} *fibheap_t;
|
| 58 |
|
|
|
| 59 |
|
|
typedef struct fibnode
|
| 60 |
|
|
{
|
| 61 |
|
|
struct fibnode *parent;
|
| 62 |
|
|
struct fibnode *child;
|
| 63 |
|
|
struct fibnode *left;
|
| 64 |
|
|
struct fibnode *right;
|
| 65 |
|
|
fibheapkey_t key;
|
| 66 |
|
|
void *data;
|
| 67 |
|
|
#if defined (__GNUC__) && (!defined (SIZEOF_INT) || SIZEOF_INT < 4)
|
| 68 |
|
|
__extension__ unsigned long int degree : 31;
|
| 69 |
|
|
__extension__ unsigned long int mark : 1;
|
| 70 |
|
|
#else
|
| 71 |
|
|
unsigned int degree : 31;
|
| 72 |
|
|
unsigned int mark : 1;
|
| 73 |
|
|
#endif
|
| 74 |
|
|
} *fibnode_t;
|
| 75 |
|
|
|
| 76 |
|
|
extern fibheap_t fibheap_new (void);
|
| 77 |
|
|
extern fibnode_t fibheap_insert (fibheap_t, fibheapkey_t, void *);
|
| 78 |
|
|
extern int fibheap_empty (fibheap_t);
|
| 79 |
|
|
extern fibheapkey_t fibheap_min_key (fibheap_t);
|
| 80 |
|
|
extern fibheapkey_t fibheap_replace_key (fibheap_t, fibnode_t,
|
| 81 |
|
|
fibheapkey_t);
|
| 82 |
|
|
extern void *fibheap_replace_key_data (fibheap_t, fibnode_t,
|
| 83 |
|
|
fibheapkey_t, void *);
|
| 84 |
|
|
extern void *fibheap_extract_min (fibheap_t);
|
| 85 |
|
|
extern void *fibheap_min (fibheap_t);
|
| 86 |
|
|
extern void *fibheap_replace_data (fibheap_t, fibnode_t, void *);
|
| 87 |
|
|
extern void *fibheap_delete_node (fibheap_t, fibnode_t);
|
| 88 |
|
|
extern void fibheap_delete (fibheap_t);
|
| 89 |
|
|
extern fibheap_t fibheap_union (fibheap_t, fibheap_t);
|
| 90 |
|
|
|
| 91 |
|
|
#ifdef __cplusplus
|
| 92 |
|
|
}
|
| 93 |
|
|
#endif
|
| 94 |
|
|
|
| 95 |
|
|
#endif /* _FIBHEAP_H_ */
|
