diff include/fibheap.h @ 0:a06113de4d67

first commit
author kent <kent@cr.ie.u-ryukyu.ac.jp>
date Fri, 17 Jul 2009 14:47:48 +0900
parents
children 77e2b8dfacca
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/include/fibheap.h	Fri Jul 17 14:47:48 2009 +0900
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+/* A Fibonacci heap datatype.
+   Copyright 1998, 1999, 2000, 2001, 2002 Free Software Foundation, Inc.
+   Contributed by Daniel Berlin (dan@cgsoftware.com).
+
+This file is part of GCC.
+   
+GCC is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2, or (at your option)
+any later version.
+
+GCC is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+General Public License for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to
+the Free Software Foundation, 51 Franklin Street - Fifth Floor,
+Boston, MA 02110-1301, USA.  */
+
+/* Fibonacci heaps are somewhat complex, but, there's an article in
+   DDJ that explains them pretty well:
+
+   http://www.ddj.com/articles/1997/9701/9701o/9701o.htm?topic=algoritms
+
+   Introduction to algorithms by Corman and Rivest also goes over them.
+
+   The original paper that introduced them is "Fibonacci heaps and their
+   uses in improved network optimization algorithms" by Tarjan and
+   Fredman (JACM 34(3), July 1987).
+
+   Amortized and real worst case time for operations:
+
+   ExtractMin: O(lg n) amortized. O(n) worst case.
+   DecreaseKey: O(1) amortized.  O(lg n) worst case. 
+   Insert: O(2) amortized. O(1) actual.  
+   Union: O(1) amortized. O(1) actual.  */
+
+#ifndef _FIBHEAP_H_
+#define _FIBHEAP_H_
+
+#include "ansidecl.h"
+
+typedef long fibheapkey_t;
+
+typedef struct fibheap
+{
+  size_t nodes;
+  struct fibnode *min;
+  struct fibnode *root;
+} *fibheap_t;
+
+typedef struct fibnode
+{
+  struct fibnode *parent;
+  struct fibnode *child;
+  struct fibnode *left;
+  struct fibnode *right;
+  fibheapkey_t key;
+  void *data;
+#if defined (__GNUC__) && (!defined (SIZEOF_INT) || SIZEOF_INT < 4)
+  __extension__ unsigned long int degree : 31;
+  __extension__ unsigned long int mark : 1;
+#else
+  unsigned int degree : 31;
+  unsigned int mark : 1;
+#endif
+} *fibnode_t;
+
+extern fibheap_t fibheap_new (void);
+extern fibnode_t fibheap_insert (fibheap_t, fibheapkey_t, void *);
+extern int fibheap_empty (fibheap_t);
+extern fibheapkey_t fibheap_min_key (fibheap_t);
+extern fibheapkey_t fibheap_replace_key (fibheap_t, fibnode_t,
+                                         fibheapkey_t);
+extern void *fibheap_replace_key_data (fibheap_t, fibnode_t,
+                                       fibheapkey_t, void *);
+extern void *fibheap_extract_min (fibheap_t);
+extern void *fibheap_min (fibheap_t);
+extern void *fibheap_replace_data (fibheap_t, fibnode_t, void *);
+extern void *fibheap_delete_node (fibheap_t, fibnode_t);
+extern void fibheap_delete (fibheap_t);
+extern fibheap_t fibheap_union (fibheap_t, fibheap_t);
+
+#endif /* _FIBHEAP_H_ */