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1 /*
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2 rbtree - simple balanced binary search tree (red-black tree) library.
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3 Copyright (C) 2011-2014 John Tsiombikas <nuclear@member.fsf.org>
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4
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5 rbtree is free software, feel free to use, modify, and redistribute it, under
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6 the terms of the 3-clause BSD license. See COPYING for details.
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7 */
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8 #include <stdio.h>
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9 #include <stdlib.h>
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10 #include <stdint.h>
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11 #include <string.h>
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12 #include "rbtree.h"
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13
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14 #define INT2PTR(x) ((void*)(intptr_t)(x))
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15 #define PTR2INT(x) ((int)(intptr_t)(x))
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16
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17 struct rbtree {
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18 struct rbnode *root;
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19
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20 rb_alloc_func_t alloc;
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21 rb_free_func_t free;
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22
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23 rb_cmp_func_t cmp;
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24 rb_del_func_t del;
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25 void *del_cls;
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26
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27 struct rbnode *rstack, *iter;
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28 };
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29
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30 static int cmpaddr(const void *ap, const void *bp);
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31 static int cmpint(const void *ap, const void *bp);
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32
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33 static int count_nodes(struct rbnode *node);
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34 static void del_tree(struct rbnode *node, void (*delfunc)(struct rbnode*, void*), void *cls);
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35 static struct rbnode *insert(struct rbtree *rb, struct rbnode *tree, void *key, void *data);
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36 static struct rbnode *delete(struct rbtree *rb, struct rbnode *tree, void *key);
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37 /*static struct rbnode *find(struct rbtree *rb, struct rbnode *node, void *key);*/
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38 static void traverse(struct rbnode *node, void (*func)(struct rbnode*, void*), void *cls);
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39
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40 struct rbtree *rb_create(rb_cmp_func_t cmp_func)
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41 {
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42 struct rbtree *rb;
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43
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44 if(!(rb = malloc(sizeof *rb))) {
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45 return 0;
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46 }
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47 if(rb_init(rb, cmp_func) == -1) {
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48 free(rb);
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49 return 0;
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50 }
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51 return rb;
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52 }
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53
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54 void rb_free(struct rbtree *rb)
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55 {
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56 rb_destroy(rb);
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57 free(rb);
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58 }
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59
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60
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61 int rb_init(struct rbtree *rb, rb_cmp_func_t cmp_func)
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62 {
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63 memset(rb, 0, sizeof *rb);
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64
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65 if(!cmp_func) {
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66 rb->cmp = cmpaddr;
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67 } else if(cmp_func == RB_KEY_INT) {
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68 rb->cmp = cmpint;
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69 } else if(cmp_func == RB_KEY_STRING) {
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70 rb->cmp = (rb_cmp_func_t)strcmp;
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71 } else {
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72 rb->cmp = cmp_func;
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73 }
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74
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75 rb->alloc = malloc;
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76 rb->free = free;
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77 return 0;
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78 }
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79
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80 void rb_destroy(struct rbtree *rb)
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81 {
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82 del_tree(rb->root, rb->del, rb->del_cls);
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83 }
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84
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85 void rb_set_allocator(struct rbtree *rb, rb_alloc_func_t alloc, rb_free_func_t free)
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86 {
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87 rb->alloc = alloc;
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88 rb->free = free;
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89 }
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90
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91
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92 void rb_set_compare_func(struct rbtree *rb, rb_cmp_func_t func)
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93 {
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94 rb->cmp = func;
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95 }
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96
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97 void rb_set_delete_func(struct rbtree *rb, rb_del_func_t func, void *cls)
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98 {
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99 rb->del = func;
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100 rb->del_cls = cls;
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101 }
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102
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103
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104 void rb_clear(struct rbtree *rb)
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105 {
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106 del_tree(rb->root, rb->del, rb->del_cls);
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107 rb->root = 0;
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108 }
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109
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110 int rb_copy(struct rbtree *dest, struct rbtree *src)
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111 {
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112 struct rbnode *node;
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113
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114 rb_clear(dest);
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115 rb_begin(src);
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116 while((node = rb_next(src))) {
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117 if(rb_insert(dest, node->key, node->data) == -1) {
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118 return -1;
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119 }
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120 }
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121 return 0;
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122 }
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123
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124 int rb_size(struct rbtree *rb)
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125 {
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126 return count_nodes(rb->root);
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127 }
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128
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129 int rb_insert(struct rbtree *rb, void *key, void *data)
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130 {
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131 rb->root = insert(rb, rb->root, key, data);
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132 rb->root->red = 0;
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133 return 0;
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134 }
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135
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136 int rb_inserti(struct rbtree *rb, int key, void *data)
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137 {
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138 rb->root = insert(rb, rb->root, INT2PTR(key), data);
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139 rb->root->red = 0;
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140 return 0;
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141 }
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142
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143
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144 int rb_delete(struct rbtree *rb, void *key)
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145 {
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146 rb->root = delete(rb, rb->root, key);
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147 rb->root->red = 0;
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148 return 0;
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149 }
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150
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151 int rb_deletei(struct rbtree *rb, int key)
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152 {
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153 rb->root = delete(rb, rb->root, INT2PTR(key));
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154 rb->root->red = 0;
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155 return 0;
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156 }
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157
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158
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159 struct rbnode *rb_find(struct rbtree *rb, void *key)
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160 {
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161 struct rbnode *node = rb->root;
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162
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163 while(node) {
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164 int cmp = rb->cmp(key, node->key);
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165 if(cmp == 0) {
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166 return node;
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167 }
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168 node = cmp < 0 ? node->left : node->right;
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169 }
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170 return 0;
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171 }
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172
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173 struct rbnode *rb_findi(struct rbtree *rb, int key)
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174 {
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175 return rb_find(rb, INT2PTR(key));
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176 }
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177
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178
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179 void rb_foreach(struct rbtree *rb, void (*func)(struct rbnode*, void*), void *cls)
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180 {
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181 traverse(rb->root, func, cls);
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182 }
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183
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184
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185 struct rbnode *rb_root(struct rbtree *rb)
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186 {
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187 return rb->root;
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188 }
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189
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190 void rb_begin(struct rbtree *rb)
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191 {
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192 rb->rstack = 0;
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193 rb->iter = rb->root;
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194 }
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195
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196 #define push(sp, x) ((x)->next = (sp), (sp) = (x))
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197 #define pop(sp) ((sp) = (sp)->next)
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198 #define top(sp) (sp)
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199
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200 struct rbnode *rb_next(struct rbtree *rb)
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201 {
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202 struct rbnode *res = 0;
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203
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204 while(rb->rstack || rb->iter) {
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205 if(rb->iter) {
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206 push(rb->rstack, rb->iter);
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207 rb->iter = rb->iter->left;
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208 } else {
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209 rb->iter = top(rb->rstack);
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210 pop(rb->rstack);
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211 res = rb->iter;
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212 rb->iter = rb->iter->right;
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213 break;
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214 }
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215 }
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216 return res;
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217 }
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218
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219 void *rb_node_key(struct rbnode *node)
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220 {
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221 return node ? node->key : 0;
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222 }
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223
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224 int rb_node_keyi(struct rbnode *node)
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225 {
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226 return node ? PTR2INT(node->key) : 0;
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227 }
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228
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229 void *rb_node_data(struct rbnode *node)
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230 {
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231 return node ? node->data : 0;
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232 }
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233
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234 static int cmpaddr(const void *ap, const void *bp)
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235 {
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236 return ap < bp ? -1 : (ap > bp ? 1 : 0);
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237 }
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238
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239 static int cmpint(const void *ap, const void *bp)
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240 {
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241 return PTR2INT(ap) - PTR2INT(bp);
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242 }
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243
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244
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245 /* ---- left-leaning 2-3 red-black implementation ---- */
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246
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247 /* helper prototypes */
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248 static int is_red(struct rbnode *tree);
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249 static void color_flip(struct rbnode *tree);
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250 static struct rbnode *rot_left(struct rbnode *a);
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251 static struct rbnode *rot_right(struct rbnode *a);
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252 static struct rbnode *find_min(struct rbnode *tree);
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253 static struct rbnode *del_min(struct rbtree *rb, struct rbnode *tree);
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254 /*static struct rbnode *move_red_right(struct rbnode *tree);*/
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255 static struct rbnode *move_red_left(struct rbnode *tree);
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256 static struct rbnode *fix_up(struct rbnode *tree);
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257
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258 static int count_nodes(struct rbnode *node)
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259 {
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260 if(!node)
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261 return 0;
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262
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263 return 1 + count_nodes(node->left) + count_nodes(node->right);
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264 }
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265
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266 static void del_tree(struct rbnode *node, rb_del_func_t delfunc, void *cls)
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267 {
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268 if(!node)
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269 return;
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270
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271 del_tree(node->left, delfunc, cls);
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272 del_tree(node->right, delfunc, cls);
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273
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274 if(delfunc) {
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275 delfunc(node, cls);
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276 }
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277 free(node);
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278 }
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279
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280 static struct rbnode *insert(struct rbtree *rb, struct rbnode *tree, void *key, void *data)
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281 {
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282 int cmp;
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283
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284 if(!tree) {
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285 struct rbnode *node = rb->alloc(sizeof *node);
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286 node->red = 1;
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287 node->key = key;
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288 node->data = data;
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289 node->left = node->right = 0;
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290 return node;
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291 }
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292
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293 cmp = rb->cmp(key, tree->key);
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294
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295 if(cmp < 0) {
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296 tree->left = insert(rb, tree->left, key, data);
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297 } else if(cmp > 0) {
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298 tree->right = insert(rb, tree->right, key, data);
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299 } else {
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300 tree->data = data;
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301 }
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302
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303 /* fix right-leaning reds */
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304 if(is_red(tree->right)) {
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305 tree = rot_left(tree);
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306 }
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nuclear@6
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307 /* fix two reds in a row */
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308 if(is_red(tree->left) && is_red(tree->left->left)) {
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309 tree = rot_right(tree);
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310 }
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311
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312 /* if 4-node, split it by color inversion */
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313 if(is_red(tree->left) && is_red(tree->right)) {
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314 color_flip(tree);
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315 }
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316
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317 return tree;
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318 }
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319
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320 static struct rbnode *delete(struct rbtree *rb, struct rbnode *tree, void *key)
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321 {
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322 int cmp;
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323
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324 if(!tree) {
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325 return 0;
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326 }
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327
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328 cmp = rb->cmp(key, tree->key);
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329
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330 if(cmp < 0) {
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331 if(!is_red(tree->left) && !is_red(tree->left->left)) {
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332 tree = move_red_left(tree);
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333 }
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334 tree->left = delete(rb, tree->left, key);
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335 } else {
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336 /* need reds on the right */
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337 if(is_red(tree->left)) {
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338 tree = rot_right(tree);
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339 }
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340
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341 /* found it at the bottom (XXX what certifies left is null?) */
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342 if(cmp == 0 && !tree->right) {
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343 if(rb->del) {
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344 rb->del(tree, rb->del_cls);
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345 }
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346 rb->free(tree);
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347 return 0;
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348 }
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349
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350 if(!is_red(tree->right) && !is_red(tree->right->left)) {
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351 tree = move_red_left(tree);
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352 }
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353
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354 if(key == tree->key) {
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355 struct rbnode *rmin = find_min(tree->right);
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356 tree->key = rmin->key;
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357 tree->data = rmin->data;
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358 tree->right = del_min(rb, tree->right);
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359 } else {
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360 tree->right = delete(rb, tree->right, key);
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361 }
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362 }
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363
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364 return fix_up(tree);
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365 }
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366
|
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367 /*static struct rbnode *find(struct rbtree *rb, struct rbnode *node, void *key)
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368 {
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369 int cmp;
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370
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371 if(!node)
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372 return 0;
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373
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374 if((cmp = rb->cmp(key, node->key)) == 0) {
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375 return node;
|
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376 }
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377 return find(rb, cmp < 0 ? node->left : node->right, key);
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378 }*/
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379
|
nuclear@6
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380 static void traverse(struct rbnode *node, void (*func)(struct rbnode*, void*), void *cls)
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381 {
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382 if(!node)
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383 return;
|
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|
384
|
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385 traverse(node->left, func, cls);
|
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386 func(node, cls);
|
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387 traverse(node->right, func, cls);
|
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388 }
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389
|
nuclear@6
|
390 /* helpers */
|
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391
|
nuclear@6
|
392 static int is_red(struct rbnode *tree)
|
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|
393 {
|
nuclear@6
|
394 return tree && tree->red;
|
nuclear@6
|
395 }
|
nuclear@6
|
396
|
nuclear@6
|
397 static void color_flip(struct rbnode *tree)
|
nuclear@6
|
398 {
|
nuclear@6
|
399 tree->red = !tree->red;
|
nuclear@6
|
400 tree->left->red = !tree->left->red;
|
nuclear@6
|
401 tree->right->red = !tree->right->red;
|
nuclear@6
|
402 }
|
nuclear@6
|
403
|
nuclear@6
|
404 static struct rbnode *rot_left(struct rbnode *a)
|
nuclear@6
|
405 {
|
nuclear@6
|
406 struct rbnode *b = a->right;
|
nuclear@6
|
407 a->right = b->left;
|
nuclear@6
|
408 b->left = a;
|
nuclear@6
|
409 b->red = a->red;
|
nuclear@6
|
410 a->red = 1;
|
nuclear@6
|
411 return b;
|
nuclear@6
|
412 }
|
nuclear@6
|
413
|
nuclear@6
|
414 static struct rbnode *rot_right(struct rbnode *a)
|
nuclear@6
|
415 {
|
nuclear@6
|
416 struct rbnode *b = a->left;
|
nuclear@6
|
417 a->left = b->right;
|
nuclear@6
|
418 b->right = a;
|
nuclear@6
|
419 b->red = a->red;
|
nuclear@6
|
420 a->red = 1;
|
nuclear@6
|
421 return b;
|
nuclear@6
|
422 }
|
nuclear@6
|
423
|
nuclear@6
|
424 static struct rbnode *find_min(struct rbnode *tree)
|
nuclear@6
|
425 {
|
nuclear@6
|
426 if(!tree)
|
nuclear@6
|
427 return 0;
|
nuclear@6
|
428
|
nuclear@6
|
429 while(tree->left) {
|
nuclear@6
|
430 tree = tree->left;
|
nuclear@6
|
431 }
|
nuclear@6
|
432 return tree;
|
nuclear@6
|
433 }
|
nuclear@6
|
434
|
nuclear@6
|
435 static struct rbnode *del_min(struct rbtree *rb, struct rbnode *tree)
|
nuclear@6
|
436 {
|
nuclear@6
|
437 if(!tree->left) {
|
nuclear@6
|
438 if(rb->del) {
|
nuclear@6
|
439 rb->del(tree->left, rb->del_cls);
|
nuclear@6
|
440 }
|
nuclear@6
|
441 rb->free(tree->left);
|
nuclear@6
|
442 return 0;
|
nuclear@6
|
443 }
|
nuclear@6
|
444
|
nuclear@6
|
445 /* make sure we've got red (3/4-nodes) at the left side so we can delete at the bottom */
|
nuclear@6
|
446 if(!is_red(tree->left) && !is_red(tree->left->left)) {
|
nuclear@6
|
447 tree = move_red_left(tree);
|
nuclear@6
|
448 }
|
nuclear@6
|
449 tree->left = del_min(rb, tree->left);
|
nuclear@6
|
450
|
nuclear@6
|
451 /* fix right-reds, red-reds, and split 4-nodes on the way up */
|
nuclear@6
|
452 return fix_up(tree);
|
nuclear@6
|
453 }
|
nuclear@6
|
454
|
nuclear@6
|
455 #if 0
|
nuclear@6
|
456 /* push a red link on this node to the right */
|
nuclear@6
|
457 static struct rbnode *move_red_right(struct rbnode *tree)
|
nuclear@6
|
458 {
|
nuclear@6
|
459 /* flipping it makes both children go red, so we have a red to the right */
|
nuclear@6
|
460 color_flip(tree);
|
nuclear@6
|
461
|
nuclear@6
|
462 /* if after the flip we've got a red-red situation to the left, fix it */
|
nuclear@6
|
463 if(is_red(tree->left->left)) {
|
nuclear@6
|
464 tree = rot_right(tree);
|
nuclear@6
|
465 color_flip(tree);
|
nuclear@6
|
466 }
|
nuclear@6
|
467 return tree;
|
nuclear@6
|
468 }
|
nuclear@6
|
469 #endif
|
nuclear@6
|
470
|
nuclear@6
|
471 /* push a red link on this node to the left */
|
nuclear@6
|
472 static struct rbnode *move_red_left(struct rbnode *tree)
|
nuclear@6
|
473 {
|
nuclear@6
|
474 /* flipping it makes both children go red, so we have a red to the left */
|
nuclear@6
|
475 color_flip(tree);
|
nuclear@6
|
476
|
nuclear@6
|
477 /* if after the flip we've got a red-red on the right-left, fix it */
|
nuclear@6
|
478 if(is_red(tree->right->left)) {
|
nuclear@6
|
479 tree->right = rot_right(tree->right);
|
nuclear@6
|
480 tree = rot_left(tree);
|
nuclear@6
|
481 color_flip(tree);
|
nuclear@6
|
482 }
|
nuclear@6
|
483 return tree;
|
nuclear@6
|
484 }
|
nuclear@6
|
485
|
nuclear@6
|
486 static struct rbnode *fix_up(struct rbnode *tree)
|
nuclear@6
|
487 {
|
nuclear@6
|
488 /* fix right-leaning */
|
nuclear@6
|
489 if(is_red(tree->right)) {
|
nuclear@6
|
490 tree = rot_left(tree);
|
nuclear@6
|
491 }
|
nuclear@6
|
492 /* change invalid red-red pairs into a proper 4-node */
|
nuclear@6
|
493 if(is_red(tree->left) && is_red(tree->left->left)) {
|
nuclear@6
|
494 tree = rot_right(tree);
|
nuclear@6
|
495 }
|
nuclear@6
|
496 /* split 4-nodes */
|
nuclear@6
|
497 if(is_red(tree->left) && is_red(tree->right)) {
|
nuclear@6
|
498 color_flip(tree);
|
nuclear@6
|
499 }
|
nuclear@6
|
500 return tree;
|
nuclear@6
|
501 }
|