| 1 | /* A Fibonacci heap datatype.
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| 2 | Copyright (C) 1998-2021 Free Software Foundation, Inc.
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| 3 | Contributed by Daniel Berlin (dan@cgsoftware.com).
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| 4 |
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| 5 | This file is part of GCC.
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| 6 |
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| 7 | GCC is free software; you can redistribute it and/or modify it
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| 8 | under the terms of the GNU General Public License as published by
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| 9 | the Free Software Foundation; either version 2, or (at your option)
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| 10 | any later version.
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| 11 |
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| 12 | GCC is distributed in the hope that it will be useful, but
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| 13 | WITHOUT ANY WARRANTY; without even the implied warranty of
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| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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| 15 | General Public License for more details.
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| 16 |
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| 17 | You should have received a copy of the GNU General Public License
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| 18 | along with GCC; see the file COPYING. If not, write to
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| 19 | the Free Software Foundation, 51 Franklin Street - Fifth Floor,
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| 20 | Boston, MA 02110-1301, USA. */
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| 21 |
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| 22 | /* Fibonacci heaps are somewhat complex, but, there's an article in
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| 23 | DDJ that explains them pretty well:
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| 24 |
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| 25 | http://www.ddj.com/articles/1997/9701/9701o/9701o.htm?topic=algoritms
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| 26 |
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| 27 | Introduction to algorithms by Corman and Rivest also goes over them.
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| 28 |
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| 29 | The original paper that introduced them is "Fibonacci heaps and their
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| 30 | uses in improved network optimization algorithms" by Tarjan and
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| 31 | Fredman (JACM 34(3), July 1987).
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| 32 |
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| 33 | Amortized and real worst case time for operations:
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| 34 |
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| 35 | ExtractMin: O(lg n) amortized. O(n) worst case.
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| 36 | DecreaseKey: O(1) amortized. O(lg n) worst case.
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| 37 | Insert: O(2) amortized. O(1) actual.
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| 38 | Union: O(1) amortized. O(1) actual. */
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| 39 |
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| 40 | #ifndef _FIBHEAP_H_
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| 41 | #define _FIBHEAP_H_
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| 42 |
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| 43 | #include "ansidecl.h"
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| 44 |
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| 45 | #ifdef __cplusplus
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| 46 | extern "C" {
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| 47 | #endif
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| 48 |
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| 49 | typedef long fibheapkey_t;
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| 50 |
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| 51 | typedef struct fibheap
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| 52 | {
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| 53 | size_t nodes;
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| 54 | struct fibnode *min;
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| 55 | struct fibnode *root;
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| 56 | } *fibheap_t;
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| 57 |
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| 58 | typedef struct fibnode
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| 59 | {
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| 60 | struct fibnode *parent;
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| 61 | struct fibnode *child;
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| 62 | struct fibnode *left;
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| 63 | struct fibnode *right;
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| 64 | fibheapkey_t key;
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| 65 | void *data;
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| 66 | #if defined (__GNUC__) && (!defined (SIZEOF_INT) || SIZEOF_INT < 4)
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| 67 | __extension__ unsigned long int degree : 31;
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| 68 | __extension__ unsigned long int mark : 1;
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| 69 | #else
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| 70 | unsigned int degree : 31;
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| 71 | unsigned int mark : 1;
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| 72 | #endif
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| 73 | } *fibnode_t;
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| 74 |
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| 75 | extern fibheap_t fibheap_new (void);
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| 76 | extern fibnode_t fibheap_insert (fibheap_t, fibheapkey_t, void *);
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| 77 | extern int fibheap_empty (fibheap_t);
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| 78 | extern fibheapkey_t fibheap_min_key (fibheap_t);
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| 79 | extern fibheapkey_t fibheap_replace_key (fibheap_t, fibnode_t,
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| 80 | fibheapkey_t);
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| 81 | extern void *fibheap_replace_key_data (fibheap_t, fibnode_t,
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| 82 | fibheapkey_t, void *);
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| 83 | extern void *fibheap_extract_min (fibheap_t);
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| 84 | extern void *fibheap_min (fibheap_t);
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| 85 | extern void *fibheap_replace_data (fibheap_t, fibnode_t, void *);
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| 86 | extern void *fibheap_delete_node (fibheap_t, fibnode_t);
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| 87 | extern void fibheap_delete (fibheap_t);
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| 88 | extern fibheap_t fibheap_union (fibheap_t, fibheap_t);
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| 89 |
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| 90 | #ifdef __cplusplus
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| 91 | }
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| 92 | #endif
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| 93 |
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| 94 | #endif /* _FIBHEAP_H_ */
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