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1 #include <stdio.h>
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2 #include <stdlib.h>
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3 #include <string.h>
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4 #include "rbtree.h"
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5
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6 #define INT2PTR(x) ((void*)(x))
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7 #define PTR2INT(x) ((int)(x))
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8
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9 struct rbtree {
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10 struct rbnode *root;
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11
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12 rb_alloc_func_t alloc;
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13 rb_free_func_t free;
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14
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15 rb_cmp_func_t cmp;
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16 rb_del_func_t del;
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17 void *del_cls;
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18
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19 struct rbnode *rstack, *iter;
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20 };
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21
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22 static int cmpaddr(void *ap, void *bp);
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23 static int cmpint(void *ap, void *bp);
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24
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25 static int count_nodes(struct rbnode *node);
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26 static void del_tree(struct rbnode *node, void (*delfunc)(struct rbnode*, void*), void *cls);
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27 static struct rbnode *insert(struct rbtree *rb, struct rbnode *tree, void *key, void *data);
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28 static struct rbnode *delete(struct rbtree *rb, struct rbnode *tree, void *key);
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29 static struct rbnode *find(struct rbtree *rb, struct rbnode *node, void *key);
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30 static void traverse(struct rbnode *node, void (*func)(struct rbnode*, void*), void *cls);
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31
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32 struct rbtree *rb_create(rb_cmp_func_t cmp_func)
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33 {
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34 struct rbtree *rb;
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35
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36 if(!(rb = malloc(sizeof *rb))) {
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37 return 0;
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38 }
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39 if(rb_init(rb, cmp_func) == -1) {
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40 free(rb);
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41 return 0;
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42 }
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43 return rb;
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44 }
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45
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46 void rb_free(struct rbtree *rb)
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47 {
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48 rb_destroy(rb);
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49 free(rb);
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50 }
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51
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52
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53 int rb_init(struct rbtree *rb, rb_cmp_func_t cmp_func)
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54 {
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55 memset(rb, 0, sizeof *rb);
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56
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57 if(cmp_func == RB_KEY_INT) {
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58 rb->cmp = cmpint;
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59 } else if(cmp_func == RB_KEY_STRING) {
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60 rb->cmp = (rb_cmp_func_t)strcmp;
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61 } else {
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62 rb->cmp = cmpaddr;
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63 }
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64
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65 rb->alloc = malloc;
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66 rb->free = free;
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67 return 0;
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68 }
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69
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70 void rb_destroy(struct rbtree *rb)
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71 {
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72 del_tree(rb->root, rb->del, rb->del_cls);
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73 }
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74
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75 void rb_set_allocator(struct rbtree *rb, rb_alloc_func_t alloc, rb_free_func_t free)
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76 {
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77 rb->alloc = alloc;
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78 rb->free = free;
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79 }
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80
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81
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82 void rb_set_compare_func(struct rbtree *rb, rb_cmp_func_t func)
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83 {
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84 rb->cmp = func;
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85 }
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86
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87 void rb_set_delete_func(struct rbtree *rb, rb_del_func_t func, void *cls)
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88 {
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89 rb->del = func;
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90 rb->del_cls = cls;
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91 }
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92
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93 int rb_size(struct rbtree *rb)
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94 {
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95 return count_nodes(rb->root);
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96 }
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97
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98 int rb_insert(struct rbtree *rb, void *key, void *data)
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99 {
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100 rb->root = insert(rb, rb->root, key, data);
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101 rb->root->red = 0;
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102 return 0;
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103 }
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104
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105 int rb_inserti(struct rbtree *rb, int key, void *data)
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106 {
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107 rb->root = insert(rb, rb->root, INT2PTR(key), data);
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108 rb->root->red = 0;
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109 return 0;
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110 }
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111
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112
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113 int rb_delete(struct rbtree *rb, void *key)
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114 {
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115 rb->root = delete(rb, rb->root, key);
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116 rb->root->red = 0;
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117 return 0;
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118 }
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119
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120 int rb_deletei(struct rbtree *rb, int key)
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121 {
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122 rb->root = delete(rb, rb->root, INT2PTR(key));
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123 rb->root->red = 0;
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124 return 0;
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125 }
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126
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127
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128 void *rb_find(struct rbtree *rb, void *key)
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129 {
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130 return find(rb, rb->root, key);
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131 }
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132
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133 void *rb_findi(struct rbtree *rb, int key)
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134 {
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135 return find(rb, rb->root, INT2PTR(key));
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136 }
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137
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138
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139 void rb_foreach(struct rbtree *rb, void (*func)(struct rbnode*, void*), void *cls)
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140 {
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141 traverse(rb->root, func, cls);
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142 }
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143
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144
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145 struct rbnode *rb_root(struct rbtree *rb)
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146 {
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147 return rb->root;
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148 }
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149
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150 void rb_begin(struct rbtree *rb)
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151 {
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152 rb->rstack = 0;
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153 rb->iter = rb->root;
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154 }
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155
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156 #define push(sp, x) ((x)->next = (sp), (sp) = (x))
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157 #define pop(sp) ((sp) = (sp)->next)
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158 #define top(sp) (sp)
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159
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160 struct rbnode *rb_next(struct rbtree *rb)
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161 {
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162 struct rbnode *res = 0;
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163
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164 while(rb->rstack || rb->iter) {
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165 if(rb->iter) {
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166 push(rb->rstack, rb->iter);
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167 rb->iter = rb->iter->left;
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168 } else {
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169 rb->iter = top(rb->rstack);
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170 pop(rb->rstack);
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171 res = rb->iter;
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172 rb->iter = rb->iter->right;
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173 break;
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174 }
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175 }
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176 return res;
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177 }
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178
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179 void *rb_node_key(struct rbnode *node)
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180 {
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181 return node ? node->key : 0;
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182 }
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183
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184 int rb_node_keyi(struct rbnode *node)
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185 {
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186 return node ? PTR2INT(node->key) : 0;
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187 }
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188
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189 void *rb_node_data(struct rbnode *node)
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190 {
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191 return node ? node->data : 0;
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192 }
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193
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194 static int cmpaddr(void *ap, void *bp)
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195 {
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196 return ap < bp ? -1 : (ap > bp ? 1 : 0);
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197 }
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198
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199 static int cmpint(void *ap, void *bp)
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200 {
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201 return PTR2INT(ap) - PTR2INT(bp);
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202 }
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203
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204
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205 /* ---- left-leaning 2-3 red-black implementation ---- */
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206
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207 /* helper prototypes */
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208 static int is_red(struct rbnode *tree);
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209 static void color_flip(struct rbnode *tree);
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210 static struct rbnode *rot_left(struct rbnode *a);
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211 static struct rbnode *rot_right(struct rbnode *a);
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212 static struct rbnode *find_min(struct rbnode *tree);
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213 static struct rbnode *del_min(struct rbtree *rb, struct rbnode *tree);
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214 /*static struct rbnode *move_red_right(struct rbnode *tree);*/
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215 static struct rbnode *move_red_left(struct rbnode *tree);
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216 static struct rbnode *fix_up(struct rbnode *tree);
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217
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218 static int count_nodes(struct rbnode *node)
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219 {
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220 if(!node)
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221 return 0;
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222
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223 return 1 + count_nodes(node->left) + count_nodes(node->right);
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224 }
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225
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226 static void del_tree(struct rbnode *node, rb_del_func_t delfunc, void *cls)
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227 {
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228 if(!node)
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229 return;
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230
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231 del_tree(node->left, delfunc, cls);
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232 del_tree(node->right, delfunc, cls);
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233
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234 delfunc(node, cls);
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235 free(node);
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236 }
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237
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238 static struct rbnode *insert(struct rbtree *rb, struct rbnode *tree, void *key, void *data)
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239 {
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240 int cmp;
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241
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242 if(!tree) {
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243 struct rbnode *node = rb->alloc(sizeof *node);
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244 node->red = 1;
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245 node->key = key;
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246 node->data = data;
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247 node->left = node->right = 0;
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248 return node;
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249 }
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250
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251 cmp = rb->cmp(key, tree->key);
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252
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253 if(cmp < 0) {
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254 tree->left = insert(rb, tree->left, key, data);
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255 } else if(cmp > 0) {
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256 tree->right = insert(rb, tree->right, key, data);
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257 } else {
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258 tree->data = data;
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259 }
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260
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261 /* fix right-leaning reds */
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262 if(is_red(tree->right)) {
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263 tree = rot_left(tree);
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264 }
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nuclear@0
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265 /* fix two reds in a row */
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266 if(is_red(tree->left) && is_red(tree->left->left)) {
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267 tree = rot_right(tree);
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268 }
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269
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270 /* if 4-node, split it by color inversion */
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271 if(is_red(tree->left) && is_red(tree->right)) {
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272 color_flip(tree);
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273 }
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274
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275 return tree;
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276 }
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277
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278 static struct rbnode *delete(struct rbtree *rb, struct rbnode *tree, void *key)
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279 {
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280 int cmp;
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281
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282 if(!tree) {
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283 return 0;
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284 }
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285
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286 cmp = rb->cmp(key, tree->key);
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287
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288 if(cmp < 0) {
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289 if(!is_red(tree->left) && !is_red(tree->left->left)) {
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290 tree = move_red_left(tree);
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291 }
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292 tree->left = delete(rb, tree->left, key);
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293 } else {
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294 /* need reds on the right */
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295 if(is_red(tree->left)) {
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296 tree = rot_right(tree);
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297 }
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298
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299 /* found it at the bottom (XXX what certifies left is null?) */
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300 if(cmp == 0 && !tree->right) {
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301 if(rb->del) {
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302 rb->del(tree, rb->del_cls);
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303 }
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304 rb->free(tree);
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305 return 0;
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306 }
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307
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308 if(!is_red(tree->right) && !is_red(tree->right->left)) {
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309 tree = move_red_left(tree);
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310 }
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311
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312 if(key == tree->key) {
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313 struct rbnode *rmin = find_min(tree->right);
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314 tree->key = rmin->key;
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315 tree->data = rmin->data;
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316 tree->right = del_min(rb, tree->right);
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317 } else {
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318 tree->right = delete(rb, tree->right, key);
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319 }
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320 }
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321
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322 return fix_up(tree);
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323 }
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324
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325 static struct rbnode *find(struct rbtree *rb, struct rbnode *node, void *key)
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326 {
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327 int cmp;
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328
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329 if(!node)
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330 return 0;
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331
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332 if((cmp = rb->cmp(key, node->key)) == 0) {
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333 return node;
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334 }
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335 return find(rb, cmp < 0 ? node->left : node->right, key);
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336 }
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337
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nuclear@0
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338 static void traverse(struct rbnode *node, void (*func)(struct rbnode*, void*), void *cls)
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339 {
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340 if(!node)
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341 return;
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342
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343 traverse(node->left, func, cls);
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344 func(node, cls);
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345 traverse(node->right, func, cls);
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346 }
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347
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348 /* helpers */
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349
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350 static int is_red(struct rbnode *tree)
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351 {
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352 return tree && tree->red;
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353 }
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354
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355 static void color_flip(struct rbnode *tree)
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356 {
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357 tree->red = !tree->red;
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358 tree->left->red = !tree->left->red;
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359 tree->right->red = !tree->right->red;
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360 }
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361
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362 static struct rbnode *rot_left(struct rbnode *a)
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363 {
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364 struct rbnode *b = a->right;
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365 a->right = b->left;
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366 b->left = a;
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367 b->red = a->red;
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368 a->red = 1;
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369 return b;
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370 }
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371
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372 static struct rbnode *rot_right(struct rbnode *a)
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373 {
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374 struct rbnode *b = a->left;
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375 a->left = b->right;
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376 b->right = a;
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377 b->red = a->red;
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378 a->red = 1;
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379 return b;
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380 }
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381
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nuclear@0
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382 static struct rbnode *find_min(struct rbnode *tree)
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383 {
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384 if(!tree || !tree->left) {
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385 return tree;
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386 }
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387 return find_min(tree->left);
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388 }
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389
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nuclear@0
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390 static struct rbnode *del_min(struct rbtree *rb, struct rbnode *tree)
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391 {
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392 if(!tree->left) {
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393 if(rb->del) {
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394 rb->del(tree->left, rb->del_cls);
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nuclear@0
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395 }
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396 rb->free(tree->left);
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nuclear@0
|
397 return 0;
|
nuclear@0
|
398 }
|
nuclear@0
|
399
|
nuclear@0
|
400 /* make sure we've got red (3/4-nodes) at the left side so we can delete at the bottom */
|
nuclear@0
|
401 if(!is_red(tree->left) && !is_red(tree->left->left)) {
|
nuclear@0
|
402 tree = move_red_left(tree);
|
nuclear@0
|
403 }
|
nuclear@0
|
404 tree->left = del_min(rb, tree->left);
|
nuclear@0
|
405
|
nuclear@0
|
406 /* fix right-reds, red-reds, and split 4-nodes on the way up */
|
nuclear@0
|
407 return fix_up(tree);
|
nuclear@0
|
408 }
|
nuclear@0
|
409
|
nuclear@0
|
410 #if 0
|
nuclear@0
|
411 /* push a red link on this node to the right */
|
nuclear@0
|
412 static struct rbnode *move_red_right(struct rbnode *tree)
|
nuclear@0
|
413 {
|
nuclear@0
|
414 /* flipping it makes both children go red, so we have a red to the right */
|
nuclear@0
|
415 color_flip(tree);
|
nuclear@0
|
416
|
nuclear@0
|
417 /* if after the flip we've got a red-red situation to the left, fix it */
|
nuclear@0
|
418 if(is_red(tree->left->left)) {
|
nuclear@0
|
419 tree = rot_right(tree);
|
nuclear@0
|
420 color_flip(tree);
|
nuclear@0
|
421 }
|
nuclear@0
|
422 return tree;
|
nuclear@0
|
423 }
|
nuclear@0
|
424 #endif
|
nuclear@0
|
425
|
nuclear@0
|
426 /* push a red link on this node to the left */
|
nuclear@0
|
427 static struct rbnode *move_red_left(struct rbnode *tree)
|
nuclear@0
|
428 {
|
nuclear@0
|
429 /* flipping it makes both children go red, so we have a red to the left */
|
nuclear@0
|
430 color_flip(tree);
|
nuclear@0
|
431
|
nuclear@0
|
432 /* if after the flip we've got a red-red on the right-left, fix it */
|
nuclear@0
|
433 if(is_red(tree->right->left)) {
|
nuclear@0
|
434 tree->right = rot_right(tree->right);
|
nuclear@0
|
435 tree = rot_left(tree);
|
nuclear@0
|
436 color_flip(tree);
|
nuclear@0
|
437 }
|
nuclear@0
|
438 return tree;
|
nuclear@0
|
439 }
|
nuclear@0
|
440
|
nuclear@0
|
441 static struct rbnode *fix_up(struct rbnode *tree)
|
nuclear@0
|
442 {
|
nuclear@0
|
443 /* fix right-leaning */
|
nuclear@0
|
444 if(is_red(tree->right)) {
|
nuclear@0
|
445 tree = rot_left(tree);
|
nuclear@0
|
446 }
|
nuclear@0
|
447 /* change invalid red-red pairs into a proper 4-node */
|
nuclear@0
|
448 if(is_red(tree->left) && is_red(tree->left->left)) {
|
nuclear@0
|
449 tree = rot_right(tree);
|
nuclear@0
|
450 }
|
nuclear@0
|
451 /* split 4-nodes */
|
nuclear@0
|
452 if(is_red(tree->left) && is_red(tree->right)) {
|
nuclear@0
|
453 color_flip(tree);
|
nuclear@0
|
454 }
|
nuclear@0
|
455 return tree;
|
nuclear@0
|
456 }
|