1 /*
2 ** License Applicability. Except to the extent portions of this file are
3 ** made subject to an alternative license as permitted in the SGI Free
4 ** Software License B, Version 1.1 (the "License"), the contents of this
5 ** file are subject only to the provisions of the License. You may not use
6 ** this file except in compliance with the License. You may obtain a copy
7 ** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
8 ** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
9 **
10 ** http://oss.sgi.com/projects/FreeB
11 **
12 ** Note that, as provided in the License, the Software is distributed on an
13 ** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
14 ** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
15 ** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
16 ** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
17 **
18 ** Original Code. The Original Code is: OpenGL Sample Implementation,
19 ** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
20 ** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
21 ** Copyright in any portions created by third parties is as indicated
22 ** elsewhere herein. All Rights Reserved.
23 **
24 ** Additional Notice Provisions: The application programming interfaces
25 ** established by SGI in conjunction with the Original Code are The
26 ** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
27 ** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
28 ** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
29 ** Window System(R) (Version 1.3), released October 19, 1998. This software
30 ** was created using the OpenGL(R) version 1.2.1 Sample Implementation
31 ** published by SGI, but has not been independently verified as being
32 ** compliant with the OpenGL(R) version 1.2.1 Specification.
33 **
34 */
35 /*
36 */
37
38 #include <stdlib.h>
39 //#include <stdio.h>
40 #include "zlassert.h"
41
42 #include "searchTree.h"
43
44 #define max(a,b) ((a>b)? a:b)
45
TreeNodeMake(void * key)46 treeNode* TreeNodeMake(void *key)
47 {
48 treeNode *ret = (treeNode*) malloc(sizeof(treeNode));
49 assert(ret);
50 ret->key = key;
51 ret->parent = NULL;
52 ret->left = NULL;
53 ret->right = NULL;
54 return ret;
55 }
56
TreeNodeDeleteSingleNode(treeNode * node)57 void TreeNodeDeleteSingleNode(treeNode* node)
58 {
59 free(node);
60 }
61
TreeNodeDeleteWholeTree(treeNode * node)62 void TreeNodeDeleteWholeTree(treeNode* node)
63 {
64 if(node == NULL) return;
65 TreeNodeDeleteWholeTree(node->left);
66 TreeNodeDeleteWholeTree(node->right);
67 TreeNodeDeleteSingleNode(node);
68 }
69
TreeNodePrint(treeNode * node,void (* keyPrint)(void *))70 void TreeNodePrint(treeNode* node,
71 void (*keyPrint) (void*))
72 {
73 if(node ==NULL) return;
74 TreeNodePrint(node->left, keyPrint);
75 keyPrint(node->key);
76 TreeNodePrint(node->right, keyPrint);
77 }
78
TreeNodeDepth(treeNode * root)79 int TreeNodeDepth(treeNode* root)
80 {
81 if(root == NULL) return 0;
82 else{
83 int leftdepth = TreeNodeDepth(root->left);
84 int rightdepth = TreeNodeDepth(root->right);
85 return 1 + max(leftdepth, rightdepth);
86 }
87 }
88
89 /*return the node with the key.
90 *NULL is returned if not found
91 */
TreeNodeFind(treeNode * tree,void * key,int (* compkey)(void *,void *))92 treeNode* TreeNodeFind(treeNode* tree, void* key,
93 int (*compkey) (void*, void*))
94 {
95 if(tree == NULL)
96 return NULL;
97 if(key == tree->key)
98 return tree;
99 else if(compkey(key, tree->key) < 0)
100 return TreeNodeFind(tree->left, key, compkey);
101 else
102 return TreeNodeFind(tree->right, key, compkey);
103 }
104
105
TreeNodeInsert(treeNode * root,treeNode * newnode,int (* compkey)(void *,void *))106 treeNode* TreeNodeInsert(treeNode* root, treeNode* newnode,
107 int (*compkey) (void *, void *))
108 {
109 treeNode *y = NULL;
110 treeNode *x = root;
111 /*going down the tree from the root.
112 *x traces the path, y is the parent of x.
113 */
114 while (x != NULL){
115 y = x;
116 if(compkey(newnode->key,x->key) < 0) /*if newnode < x*/
117 x = x->left;
118 else
119 x = x->right;
120 }
121
122 /*now y has the property that
123 * if newnode < y, then y->left is NULL
124 * if newnode > y, then y->right is NULL.
125 *So we want to isnert newnode to be the child of y
126 */
127 newnode->parent = y;
128 if(y == NULL)
129 return newnode;
130 else if( compkey(newnode->key, y->key) <0)
131 {
132 y->left = newnode;
133 }
134 else
135 {
136 y->right = newnode;
137 }
138
139 return root;
140 }
141
TreeNodeDeleteSingleNode(treeNode * tree,treeNode * node)142 treeNode* TreeNodeDeleteSingleNode(treeNode* tree, treeNode* node)
143 {
144 treeNode* y;
145 treeNode* x;
146 treeNode* ret;
147 if(node==NULL) return tree;
148
149 if(node->left == NULL || node->right == NULL) {
150
151 y = node;
152 if(y->left != NULL)
153 x = y->left;
154 else
155 x = y->right;
156
157 if( x != NULL)
158 x->parent = y->parent;
159
160 if(y->parent == NULL) /*y is the root which has at most one child x*/
161 ret = x;
162 else /*y is not the root*/
163 {
164 if(y == y->parent->left)
165 y->parent->left = x;
166 else
167 y->parent->right = x;
168 ret = tree;
169 }
170 }
171 else { /*node has two children*/
172
173 y = TreeNodeSuccessor(node);
174 assert(y->left == NULL);
175
176 if(y == node->right) /*y is the right child if node*/
177 {
178 y->parent = node->parent;
179 y->left = node->left;
180 node->left->parent = y;
181
182 }
183 else /*y != node->right*/
184 {
185 x = y->right;
186 if(x!= NULL)
187 x->parent = y->parent;
188
189 assert(y->parent != NULL);
190 if(y == y->parent->left)
191 y->parent->left = x;
192 else
193 y->parent->right = x;
194 /*move y to the position of node*/
195 y->parent = node->parent;
196 y->left = node->left;
197 y->right = node->right;
198 node->left->parent = y;
199 node->right->parent = y;
200 }
201 if(node->parent != NULL) {
202 if(node->parent->left == node)
203 node->parent->left = y;
204 else
205 node->parent->right = y;
206 ret = tree; /*the root if the tree doesn't change*/
207 }
208 else /*node->parent is NULL: node is the root*/
209 ret = y;
210 }
211
212 /*finally free the node, and return the new root*/
213 TreeNodeDeleteSingleNode(node);
214 return ret;
215 }
216
217
218 /*the minimum node in the tree rooted by node
219 */
TreeNodeMinimum(treeNode * node)220 treeNode* TreeNodeMinimum(treeNode* node)
221 {
222 treeNode* temp = node;
223 if(temp == NULL) return NULL;
224 while(temp->left != NULL) {
225 temp = temp->left;
226 }
227 return temp;
228 }
229
230 /*the maximum node in the tree rooted by node
231 */
TreeNodeMaximum(treeNode * node)232 treeNode* TreeNodeMaximum(treeNode* node)
233 {
234 treeNode* temp = node;
235 if(temp == NULL) return NULL;
236 while(temp->right != NULL) {
237 temp = temp->right;
238 }
239 return temp;
240 }
241
242 /*return the first node (in sorted order) which is to the right of this node
243 */
TreeNodeSuccessor(treeNode * node)244 treeNode* TreeNodeSuccessor(treeNode* node)
245 {
246 if(node == NULL) return NULL;
247 if(node->right != NULL)
248 return TreeNodeMinimum(node->right);
249 else{ /*node->right is NULL*/
250
251 /*find the first right-ancestor*/
252 treeNode *y = node->parent;
253 treeNode* x = node;
254 while(y != NULL && x == y->right) /*if y is a left parent of x*/
255 {
256
257 x = y;
258 y = y->parent;
259 }
260 return y;
261 }
262 }
263
264 /*return the first node (in sorted order) which is to the left of this node
265 */
TreeNodePredecessor(treeNode * node)266 treeNode* TreeNodePredecessor(treeNode* node)
267 {
268 if(node == NULL) return NULL;
269 if(node->left != NULL)
270 return TreeNodeMaximum(node->left);
271 else{ /*node->left is NULL*/
272 /*find the first left-ancestor*/
273 treeNode *y = node->parent;
274 treeNode *x = node;
275 while(y != NULL && x == y->left) /*if y is a right parent of x*/
276 {
277 x = y;
278 y = y->parent;
279 }
280 return y;
281 }
282 }
283