1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
|
#ifndef ubi_AVLtree_H
#define ubi_AVLtree_H
/* ========================================================================== **
* ubi_AVLtree.h
*
* Copyright (C) 1991-1998 by Christopher R. Hertel
*
* Email: crh@ubiqx.mn.org
* -------------------------------------------------------------------------- **
*
* This module provides an implementation of AVL height balanced binary
* trees. (Adelson-Velskii, Landis 1962)
*
* This header file contains the basic AVL structure and pointer typedefs
* as well as the prototypes needed to access the functions in the AVL
* module ubi_AVLtree. The .c file implements the low-level height balancing
* routines that manage the AVL tree, plus all of the basic primops for
* adding, searching for, and deleting nodes.
*
* -------------------------------------------------------------------------- **
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Library General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library 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
* Library General Public License for more details.
*
* You should have received a copy of the GNU Library General Public
* License along with this library; if not, write to the Free
* Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
*
* -------------------------------------------------------------------------- **
* Log: ubi_AVLtree.h,v
* Revision 4.0 1998/03/10 03:34:45 crh
* Major changes.
* By adding the AVL balance field to the base ubi_btNode structure, I no
* longer need AVL-specific ReplaceNode(), SwapNodes(), and InitNode()
* functions. The Remove() function is also simplified. It's all much
* cleaner.
* This is rev. 4.0. The 3.x series was dropped.
*
* Revision 2.5 1997/12/23 04:00:15 crh
* In this version, all constants & macros defined in the header file have
* the ubi_tr prefix. Also cleaned up anything that gcc complained about
* when run with '-pedantic -fsyntax-only -Wall'.
*
* Revision 2.4 1997/07/26 04:36:23 crh
* Andrew Leppard, aka "Grazgur", discovered that I still had my brains tied
* on backwards with respect to node deletion. I did some more digging and
* discovered that I was not changing the balance values correctly in the
* single rotation functions. Double rotation was working correctly because
* the formula for changing the balance values is the same for insertion or
* deletion. Not so for single rotation.
*
* I have tested the fix by loading the tree with over 44 thousand names,
* deleting 2,629 of them (all those in which the second character is 'u')
* and then walking the tree recursively to verify that the balance factor of
* each node is correct. Passed.
*
* Thanks Andrew!
*
* Also:
* + Changed ubi_TRUE and ubi_FALSE to ubi_trTRUE and ubi_trFALSE.
* + Rewrote the ubi_tr<func> macros because they weren't doing what I'd
* hoped they would do (see the bottom of the header file). They work now.
*
* Revision 2.3 1997/06/03 05:22:07 crh
* Changed TRUE and FALSE to ubi_TRUE and ubi_FALSE to avoid causing
* problems.
*
* Revision 2.2 1995/10/03 22:15:47 CRH
* Ubisized!
*
* Revision 2.1 95/03/09 23:46:44 CRH
* Added the ModuleID static string and function. These modules are now
* self-identifying.
*
* Revision 2.0 95/03/05 14:11:22 CRH
* This revision of ubi_AVLtree coincides with revision 2.0 of ubi_BinTree,
* and so includes all of the changes to that module. In addition, a bug in
* the node deletion process has been fixed.
*
* After rewriting the Locate() function in ubi_BinTree, I decided that it was
* time to overhaul this module. In the process, I discovered a bug related
* to node deletion. To fix the bug, I wrote function Debalance(). A quick
* glance will show that it is very similar to the Rebalance() function. In
* previous versions of this module, I tried to include the functionality of
* Debalance() within Rebalance(), with poor results.
*
* Revision 1.0 93/10/15 22:58:48 CRH
* With this revision, I have added a set of #define's that provide a single,
* standard API to all existing tree modules. Until now, each of the three
* existing modules had a different function and typedef prefix, as follows:
*
* Module Prefix
* ubi_BinTree ubi_bt
* ubi_AVLtree ubi_avl
* ubi_SplayTree ubi_spt
*
* To further complicate matters, only those portions of the base module
* (ubi_BinTree) that were superceeded in the new module had the new names.
* For example, if you were using ubi_SplayTree, the locate function was
* called "ubi_sptLocate", but the next and previous functions remained
* "ubi_btNext" and "ubi_btPrev".
*
* This was not too terrible if you were familiar with the modules and knew
* exactly which tree model you wanted to use. If you wanted to be able to
* change modules (for speed comparisons, etc), things could get messy very
* quickly.
*
* So, I have added a set of defined names that get redefined in any of the
* descendant modules. To use this standardized interface in your code,
* simply replace all occurances of "ubi_bt", "ubi_avl", and "ubi_spt" with
* "ubi_tr". The "ubi_tr" names will resolve to the correct function or
* datatype names for the module that you are using. Just remember to
* include the header for that module in your program file. Because these
* names are handled by the preprocessor, there is no added run-time
* overhead.
*
* Note that the original names do still exist, and can be used if you wish
* to write code directly to a specific module. This should probably only be
* done if you are planning to implement a new descendant type, such as
* red/black trees. CRH
*
* V0.0 - May, 1990 - Written by Christopher R. Hertel (CRH).
*
* ========================================================================= **
*/
#include "ubi_BinTree.h" /* Base erg binary tree support. */
/* -------------------------------------------------------------------------- **
* Function prototypes.
* -------------------------------------------------------------------------- **
*/
ubi_trBool ubi_avlInsert( ubi_btRootPtr RootPtr,
ubi_btNodePtr NewNode,
ubi_btItemPtr ItemPtr,
ubi_btNodePtr *OldNode );
/* ------------------------------------------------------------------------ **
* This function uses a non-recursive algorithm to add a new element to
* the tree.
*
* Input: RootPtr - a pointer to the ubi_btRoot structure that indicates
* the root of the tree to which NewNode is to be added.
* NewNode - a pointer to an ubi_btNode structure that is NOT
* part of any tree.
* ItemPtr - A pointer to the sort key that is stored within
* *NewNode. ItemPtr MUST point to information stored
* in *NewNode or an EXACT DUPLICATE. The key data
* indicated by ItemPtr is used to place the new node
* into the tree.
* OldNode - a pointer to an ubi_btNodePtr. When searching
* the tree, a duplicate node may be found. If
* duplicates are allowed, then the new node will
* be simply placed into the tree. If duplicates
* are not allowed, however, then one of two things
* may happen.
* 1) if overwritting *is not* allowed, this
* function will return FALSE (indicating that
* the new node could not be inserted), and
* *OldNode will point to the duplicate that is
* still in the tree.
* 2) if overwritting *is* allowed, then this
* function will swap **OldNode for *NewNode.
* In this case, *OldNode will point to the node
* that was removed (thus allowing you to free
* the node).
* ** If you are using overwrite mode, ALWAYS **
* ** check the return value of this parameter! **
* Note: You may pass NULL in this parameter, the
* function knows how to cope. If you do this,
* however, there will be no way to return a
* pointer to an old (ie. replaced) node (which is
* a problem if you are using overwrite mode).
*
* Output: a boolean value indicating success or failure. The function
* will return FALSE if the node could not be added to the tree.
* Such failure will only occur if duplicates are not allowed,
* nodes cannot be overwritten, AND a duplicate key was found
* within the tree.
* ------------------------------------------------------------------------ **
*/
ubi_btNodePtr ubi_avlRemove( ubi_btRootPtr RootPtr,
ubi_btNodePtr DeadNode );
/* ------------------------------------------------------------------------ **
* This function removes the indicated node from the tree, after which the
* tree is rebalanced.
*
* Input: RootPtr - A pointer to the header of the tree that contains
* the node to be removed.
* DeadNode - A pointer to the node that will be removed.
*
* Output: This function returns a pointer to the node that was removed
* from the tree (ie. the same as DeadNode).
*
* Note: The node MUST be in the tree indicated by RootPtr. If not,
* strange and evil things will happen to your trees.
* ------------------------------------------------------------------------ **
*/
int ubi_avlModuleID( int size, char *list[] );
/* ------------------------------------------------------------------------ **
* Returns a set of strings that identify the module.
*
* Input: size - The number of elements in the array <list>.
* list - An array of pointers of type (char *). This array
* should, initially, be empty. This function will fill
* in the array with pointers to strings.
* Output: The number of elements of <list> that were used. If this value
* is less than <size>, the values of the remaining elements are
* not guaranteed.
*
* Notes: Please keep in mind that the pointers returned indicate strings
* stored in static memory. Don't free() them, don't write over
* them, etc. Just read them.
* ------------------------------------------------------------------------ **
*/
/* -------------------------------------------------------------------------- **
* Masquarade...
*
* This set of defines allows you to write programs that will use any of the
* implemented binary tree modules (currently BinTree, AVLtree, and SplayTree).
* Instead of using ubi_avl... or ubi_bt, use ubi_tr... and select the tree
* type by including the appropriate module header.
*/
#undef ubi_trInsert
#define ubi_trInsert( Rp, Nn, Ip, On ) \
ubi_avlInsert( (ubi_btRootPtr)(Rp), (ubi_btNodePtr)(Nn), \
(ubi_btItemPtr)(Ip), (ubi_btNodePtr *)(On) )
#undef ubi_trRemove
#define ubi_trRemove( Rp, Dn ) \
ubi_avlRemove( (ubi_btRootPtr)(Rp), (ubi_btNodePtr)(Dn) )
#undef ubi_trModuleID
#define ubi_trModuleID( s, l ) ubi_avlModuleID( s, l )
/* =========================== End ubi_AVLtree.h =========================== */
#endif /* ubi_AVLtree_H */
|
