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/* A Fibonacci heap datatype.
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Copyright 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2009
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Free Software Foundation, Inc.
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Contributed by Daniel Berlin (dan@cgsoftware.com).
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2, or (at your option)
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any later version.
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GCC is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with GCC; see the file COPYING. If not, write to
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the Free Software Foundation, 51 Franklin Street - Fifth Floor,
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Boston, MA 02110-1301, USA. */
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/* Fibonacci heaps are somewhat complex, but, there's an article in
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DDJ that explains them pretty well:
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http://www.ddj.com/articles/1997/9701/9701o/9701o.htm?topic=algoritms
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Introduction to algorithms by Corman and Rivest also goes over them.
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The original paper that introduced them is "Fibonacci heaps and their
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uses in improved network optimization algorithms" by Tarjan and
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Fredman (JACM 34(3), July 1987).
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Amortized and real worst case time for operations:
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ExtractMin: O(lg n) amortized. O(n) worst case.
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DecreaseKey: O(1) amortized. O(lg n) worst case.
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Insert: O(2) amortized. O(1) actual.
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Union: O(1) amortized. O(1) actual. */
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#ifndef _FIBHEAP_H_
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#define _FIBHEAP_H_
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#include "ansidecl.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef long fibheapkey_t;
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typedef struct fibheap
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{
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size_t nodes;
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struct fibnode *min;
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struct fibnode *root;
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} *fibheap_t;
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typedef struct fibnode
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{
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struct fibnode *parent;
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struct fibnode *child;
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struct fibnode *left;
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struct fibnode *right;
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fibheapkey_t key;
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void *data;
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#if defined (__GNUC__) && (!defined (SIZEOF_INT) || SIZEOF_INT < 4)
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__extension__ unsigned long int degree : 31;
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__extension__ unsigned long int mark : 1;
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#else
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unsigned int degree : 31;
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unsigned int mark : 1;
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#endif
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} *fibnode_t;
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extern fibheap_t fibheap_new (void);
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extern fibnode_t fibheap_insert (fibheap_t, fibheapkey_t, void *);
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extern int fibheap_empty (fibheap_t);
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extern fibheapkey_t fibheap_min_key (fibheap_t);
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extern fibheapkey_t fibheap_replace_key (fibheap_t, fibnode_t,
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fibheapkey_t);
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extern void *fibheap_replace_key_data (fibheap_t, fibnode_t,
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fibheapkey_t, void *);
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extern void *fibheap_extract_min (fibheap_t);
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extern void *fibheap_min (fibheap_t);
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extern void *fibheap_replace_data (fibheap_t, fibnode_t, void *);
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extern void *fibheap_delete_node (fibheap_t, fibnode_t);
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extern void fibheap_delete (fibheap_t);
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extern fibheap_t fibheap_union (fibheap_t, fibheap_t);
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#ifdef __cplusplus
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}
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#endif
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#endif /* _FIBHEAP_H_ */
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