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1/* 2 Red Black Trees 3 (C) 1999 Andrea Arcangeli <andrea@suse.de> 4 (C) 2002 David Woodhouse <dwmw2@infradead.org> 5 6 This program is free software; you can redistribute it and/or modify 7 it under the terms of the GNU General Public License as published by 8 the Free Software Foundation; either version 2 of the License, or 9 (at your option) any later version. 10 11 This program is distributed in the hope that it will be useful, 12 but WITHOUT ANY WARRANTY; without even the implied warranty of 13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 14 GNU General Public License for more details. 15 16 You should have received a copy of the GNU General Public License 17 along with this program; if not, write to the Free Software 18 Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA 19 20 linux/lib/rbtree.c 21*/ 22 23#include "rbtree.h" 24 25static void __rb_rotate_left(struct rb_node *node, struct rb_root *root) 26{ 27 struct rb_node *right = node->rb_right; 28 struct rb_node *parent = rb_parent(node); 29 30 if ((node->rb_right = right->rb_left)) 31 rb_set_parent(right->rb_left, node); 32 right->rb_left = node; 33 34 rb_set_parent(right, parent); 35 36 if (parent) 37 { 38 if (node == parent->rb_left) 39 parent->rb_left = right; 40 else 41 parent->rb_right = right; 42 } 43 else 44 root->rb_node = right; 45 rb_set_parent(node, right); 46} 47 48static void __rb_rotate_right(struct rb_node *node, struct rb_root *root) 49{ 50 struct rb_node *left = node->rb_left; 51 struct rb_node *parent = rb_parent(node); 52 53 if ((node->rb_left = left->rb_right)) 54 rb_set_parent(left->rb_right, node); 55 left->rb_right = node; 56 57 rb_set_parent(left, parent); 58 59 if (parent) 60 { 61 if (node == parent->rb_right) 62 parent->rb_right = left; 63 else 64 parent->rb_left = left; 65 } 66 else 67 root->rb_node = left; 68 rb_set_parent(node, left); 69} 70 71void rb_insert_color(struct rb_node *node, struct rb_root *root) 72{ 73 struct rb_node *parent, *gparent; 74 75 while ((parent = rb_parent(node)) && rb_is_red(parent)) 76 { 77 gparent = rb_parent(parent); 78 79 if (parent == gparent->rb_left) 80 { 81 { 82 register struct rb_node *uncle = gparent->rb_right; 83 if (uncle && rb_is_red(uncle)) 84 { 85 rb_set_black(uncle); 86 rb_set_black(parent); 87 rb_set_red(gparent); 88 node = gparent; 89 continue; 90 } 91 } 92 93 if (parent->rb_right == node) 94 { 95 register struct rb_node *tmp; 96 __rb_rotate_left(parent, root); 97 tmp = parent; 98 parent = node; 99 node = tmp; 100 } 101 102 rb_set_black(parent); 103 rb_set_red(gparent); 104 __rb_rotate_right(gparent, root); 105 } else { 106 { 107 register struct rb_node *uncle = gparent->rb_left; 108 if (uncle && rb_is_red(uncle)) 109 { 110 rb_set_black(uncle); 111 rb_set_black(parent); 112 rb_set_red(gparent); 113 node = gparent; 114 continue; 115 } 116 } 117 118 if (parent->rb_left == node) 119 { 120 register struct rb_node *tmp; 121 __rb_rotate_right(parent, root); 122 tmp = parent; 123 parent = node; 124 node = tmp; 125 } 126 127 rb_set_black(parent); 128 rb_set_red(gparent); 129 __rb_rotate_left(gparent, root); 130 } 131 } 132 133 rb_set_black(root->rb_node); 134} 135 136static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, 137 struct rb_root *root) 138{ 139 struct rb_node *other; 140 141 while ((!node || rb_is_black(node)) && node != root->rb_node) 142 { 143 if (parent->rb_left == node) 144 { 145 other = parent->rb_right; 146 if (rb_is_red(other)) 147 { 148 rb_set_black(other); 149 rb_set_red(parent); 150 __rb_rotate_left(parent, root); 151 other = parent->rb_right; 152 } 153 if ((!other->rb_left || rb_is_black(other->rb_left)) && 154 (!other->rb_right || rb_is_black(other->rb_right))) 155 { 156 rb_set_red(other); 157 node = parent; 158 parent = rb_parent(node); 159 } 160 else 161 { 162 if (!other->rb_right || rb_is_black(other->rb_right)) 163 { 164 rb_set_black(other->rb_left); 165 rb_set_red(other); 166 __rb_rotate_right(other, root); 167 other = parent->rb_right; 168 } 169 rb_set_color(other, rb_color(parent)); 170 rb_set_black(parent); 171 rb_set_black(other->rb_right); 172 __rb_rotate_left(parent, root); 173 node = root->rb_node; 174 break; 175 } 176 } 177 else 178 { 179 other = parent->rb_left; 180 if (rb_is_red(other)) 181 { 182 rb_set_black(other); 183 rb_set_red(parent); 184 __rb_rotate_right(parent, root); 185 other = parent->rb_left; 186 } 187 if ((!other->rb_left || rb_is_black(other->rb_left)) && 188 (!other->rb_right || rb_is_black(other->rb_right))) 189 { 190 rb_set_red(other); 191 node = parent; 192 parent = rb_parent(node); 193 } 194 else 195 { 196 if (!other->rb_left || rb_is_black(other->rb_left)) 197 { 198 rb_set_black(other->rb_right); 199 rb_set_red(other); 200 __rb_rotate_left(other, root); 201 other = parent->rb_left; 202 } 203 rb_set_color(other, rb_color(parent)); 204 rb_set_black(parent); 205 rb_set_black(other->rb_left); 206 __rb_rotate_right(parent, root); 207 node = root->rb_node; 208 break; 209 } 210 } 211 } 212 if (node) 213 rb_set_black(node); 214} 215 216void rb_erase(struct rb_node *node, struct rb_root *root) 217{ 218 struct rb_node *child, *parent; 219 int color; 220 221 if (!node->rb_left) 222 child = node->rb_right; 223 else if (!node->rb_right) 224 child = node->rb_left; 225 else 226 { 227 struct rb_node *old = node, *left; 228 229 node = node->rb_right; 230 while ((left = node->rb_left) != NULL) 231 node = left; 232 child = node->rb_right; 233 parent = rb_parent(node); 234 color = rb_color(node); 235 236 if (child) 237 rb_set_parent(child, parent); 238 if (parent == old) { 239 parent->rb_right = child; 240 parent = node; 241 } else 242 parent->rb_left = child; 243 244 node->rb_parent_color = old->rb_parent_color; 245 node->rb_right = old->rb_right; 246 node->rb_left = old->rb_left; 247 248 if (rb_parent(old)) 249 { 250 if (rb_parent(old)->rb_left == old) 251 rb_parent(old)->rb_left = node; 252 else 253 rb_parent(old)->rb_right = node; 254 } else 255 root->rb_node = node; 256 257 rb_set_parent(old->rb_left, node); 258 if (old->rb_right) 259 rb_set_parent(old->rb_right, node); 260 goto color; 261 } 262 263 parent = rb_parent(node); 264 color = rb_color(node); 265 266 if (child) 267 rb_set_parent(child, parent); 268 if (parent) 269 { 270 if (parent->rb_left == node) 271 parent->rb_left = child; 272 else 273 parent->rb_right = child; 274 } 275 else 276 root->rb_node = child; 277 278 color: 279 if (color == RB_BLACK) 280 __rb_erase_color(child, parent, root); 281} 282 283/* 284 * This function returns the first node (in sort order) of the tree. 285 */ 286struct rb_node *rb_first(const struct rb_root *root) 287{ 288 struct rb_node *n; 289 290 n = root->rb_node; 291 if (!n) 292 return NULL; 293 while (n->rb_left) 294 n = n->rb_left; 295 return n; 296} 297 298struct rb_node *rb_last(const struct rb_root *root) 299{ 300 struct rb_node *n; 301 302 n = root->rb_node; 303 if (!n) 304 return NULL; 305 while (n->rb_right) 306 n = n->rb_right; 307 return n; 308} 309 310struct rb_node *rb_next(const struct rb_node *node) 311{ 312 struct rb_node *parent; 313 314 if (rb_parent(node) == node) 315 return NULL; 316 317 /* If we have a right-hand child, go down and then left as far 318 as we can. */ 319 if (node->rb_right) { 320 node = node->rb_right; 321 while (node->rb_left) 322 node=node->rb_left; 323 return (struct rb_node *)node; 324 } 325 326 /* No right-hand children. Everything down and left is 327 smaller than us, so any 'next' node must be in the general 328 direction of our parent. Go up the tree; any time the 329 ancestor is a right-hand child of its parent, keep going 330 up. First time it's a left-hand child of its parent, said 331 parent is our 'next' node. */ 332 while ((parent = rb_parent(node)) && node == parent->rb_right) 333 node = parent; 334 335 return parent; 336} 337 338struct rb_node *rb_prev(const struct rb_node *node) 339{ 340 struct rb_node *parent; 341 342 if (rb_parent(node) == node) 343 return NULL; 344 345 /* If we have a left-hand child, go down and then right as far 346 as we can. */ 347 if (node->rb_left) { 348 node = node->rb_left; 349 while (node->rb_right) 350 node=node->rb_right; 351 return (struct rb_node *)node; 352 } 353 354 /* No left-hand children. Go up till we find an ancestor which 355 is a right-hand child of its parent */ 356 while ((parent = rb_parent(node)) && node == parent->rb_left) 357 node = parent; 358 359 return parent; 360} 361 362void rb_replace_node(struct rb_node *victim, struct rb_node *new, 363 struct rb_root *root) 364{ 365 struct rb_node *parent = rb_parent(victim); 366 367 /* Set the surrounding nodes to point to the replacement */ 368 if (parent) { 369 if (victim == parent->rb_left) 370 parent->rb_left = new; 371 else 372 parent->rb_right = new; 373 } else { 374 root->rb_node = new; 375 } 376 if (victim->rb_left) 377 rb_set_parent(victim->rb_left, new); 378 if (victim->rb_right) 379 rb_set_parent(victim->rb_right, new); 380 381 /* Copy the pointers/colour from the victim to the replacement */ 382 *new = *victim; 383}