1 /* $NetBSD: tree.h,v 1.8 2004/03/28 19:38:30 provos Exp $ */ 2 /* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */ 3 /* $DragonFly: src/sys/sys/tree.h,v 1.2 2005/04/15 19:08:13 dillon Exp $ */ 4 /* 5 * Copyright 2002 Niels Provos <provos@citi.umich.edu> 6 * All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 1. Redistributions of source code must retain the above copyright 12 * notice, this list of conditions and the following disclaimer. 13 * 2. Redistributions in binary form must reproduce the above copyright 14 * notice, this list of conditions and the following disclaimer in the 15 * documentation and/or other materials provided with the distribution. 16 * 17 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 18 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 19 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 20 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 21 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 22 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 23 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 */ 28 29 #ifndef _SYS_TREE_H_ 30 #define _SYS_TREE_H_ 31 32 /* 33 * This file defines data structures for different types of trees: 34 * splay trees and red-black trees. 35 * 36 * A splay tree is a self-organizing data structure. Every operation 37 * on the tree causes a splay to happen. The splay moves the requested 38 * node to the root of the tree and partly rebalances it. 39 * 40 * This has the benefit that request locality causes faster lookups as 41 * the requested nodes move to the top of the tree. On the other hand, 42 * every lookup causes memory writes. 43 * 44 * The Balance Theorem bounds the total access time for m operations 45 * and n inserts on an initially empty tree as O((m + n)lg n). The 46 * amortized cost for a sequence of m accesses to a splay tree is O(lg n); 47 * 48 * A red-black tree is a binary search tree with the node color as an 49 * extra attribute. It fulfills a set of conditions: 50 * - every search path from the root to a leaf consists of the 51 * same number of black nodes, 52 * - each red node (except for the root) has a black parent, 53 * - each leaf node is black. 54 * 55 * Every operation on a red-black tree is bounded as O(lg n). 56 * The maximum height of a red-black tree is 2lg (n+1). 57 */ 58 59 #define SPLAY_HEAD(name, type) \ 60 struct name { \ 61 struct type *sph_root; /* root of the tree */ \ 62 } 63 64 #define SPLAY_INITIALIZER(root) \ 65 { NULL } 66 67 #define SPLAY_INIT(root) do { \ 68 (root)->sph_root = NULL; \ 69 } while (/*CONSTCOND*/ 0) 70 71 #define SPLAY_ENTRY(type) \ 72 struct { \ 73 struct type *spe_left; /* left element */ \ 74 struct type *spe_right; /* right element */ \ 75 } 76 77 #define SPLAY_LEFT(elm, field) (elm)->field.spe_left 78 #define SPLAY_RIGHT(elm, field) (elm)->field.spe_right 79 #define SPLAY_ROOT(head) (head)->sph_root 80 #define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL) 81 82 /* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */ 83 #define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \ 84 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \ 85 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ 86 (head)->sph_root = tmp; \ 87 } while (/*CONSTCOND*/ 0) 88 89 #define SPLAY_ROTATE_LEFT(head, tmp, field) do { \ 90 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \ 91 SPLAY_LEFT(tmp, field) = (head)->sph_root; \ 92 (head)->sph_root = tmp; \ 93 } while (/*CONSTCOND*/ 0) 94 95 #define SPLAY_LINKLEFT(head, tmp, field) do { \ 96 SPLAY_LEFT(tmp, field) = (head)->sph_root; \ 97 tmp = (head)->sph_root; \ 98 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ 99 } while (/*CONSTCOND*/ 0) 100 101 #define SPLAY_LINKRIGHT(head, tmp, field) do { \ 102 SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ 103 tmp = (head)->sph_root; \ 104 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ 105 } while (/*CONSTCOND*/ 0) 106 107 #define SPLAY_ASSEMBLE(head, node, left, right, field) do { \ 108 SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \ 109 SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\ 110 SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \ 111 SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \ 112 } while (/*CONSTCOND*/ 0) 113 114 /* Generates prototypes and inline functions */ 115 116 #define SPLAY_PROTOTYPE(name, type, field, cmp) \ 117 void name##_SPLAY(struct name *, struct type *); \ 118 void name##_SPLAY_MINMAX(struct name *, int); \ 119 struct type *name##_SPLAY_INSERT(struct name *, struct type *); \ 120 struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \ 121 \ 122 /* Finds the node with the same key as elm */ \ 123 static __inline struct type * \ 124 name##_SPLAY_FIND(struct name *head, struct type *elm) \ 125 { \ 126 if (SPLAY_EMPTY(head)) \ 127 return(NULL); \ 128 name##_SPLAY(head, elm); \ 129 if ((cmp)(elm, (head)->sph_root) == 0) \ 130 return (head->sph_root); \ 131 return (NULL); \ 132 } \ 133 \ 134 static __inline struct type * \ 135 name##_SPLAY_NEXT(struct name *head, struct type *elm) \ 136 { \ 137 name##_SPLAY(head, elm); \ 138 if (SPLAY_RIGHT(elm, field) != NULL) { \ 139 elm = SPLAY_RIGHT(elm, field); \ 140 while (SPLAY_LEFT(elm, field) != NULL) { \ 141 elm = SPLAY_LEFT(elm, field); \ 142 } \ 143 } else \ 144 elm = NULL; \ 145 return (elm); \ 146 } \ 147 \ 148 static __inline struct type * \ 149 name##_SPLAY_MIN_MAX(struct name *head, int val) \ 150 { \ 151 name##_SPLAY_MINMAX(head, val); \ 152 return (SPLAY_ROOT(head)); \ 153 } 154 155 /* Main splay operation. 156 * Moves node close to the key of elm to top 157 */ 158 #define SPLAY_GENERATE(name, type, field, cmp) \ 159 struct type * \ 160 name##_SPLAY_INSERT(struct name *head, struct type *elm) \ 161 { \ 162 if (SPLAY_EMPTY(head)) { \ 163 SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \ 164 } else { \ 165 int __comp; \ 166 name##_SPLAY(head, elm); \ 167 __comp = (cmp)(elm, (head)->sph_root); \ 168 if(__comp < 0) { \ 169 SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\ 170 SPLAY_RIGHT(elm, field) = (head)->sph_root; \ 171 SPLAY_LEFT((head)->sph_root, field) = NULL; \ 172 } else if (__comp > 0) { \ 173 SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\ 174 SPLAY_LEFT(elm, field) = (head)->sph_root; \ 175 SPLAY_RIGHT((head)->sph_root, field) = NULL; \ 176 } else \ 177 return ((head)->sph_root); \ 178 } \ 179 (head)->sph_root = (elm); \ 180 return (NULL); \ 181 } \ 182 \ 183 struct type * \ 184 name##_SPLAY_REMOVE(struct name *head, struct type *elm) \ 185 { \ 186 struct type *__tmp; \ 187 if (SPLAY_EMPTY(head)) \ 188 return (NULL); \ 189 name##_SPLAY(head, elm); \ 190 if ((cmp)(elm, (head)->sph_root) == 0) { \ 191 if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \ 192 (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\ 193 } else { \ 194 __tmp = SPLAY_RIGHT((head)->sph_root, field); \ 195 (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\ 196 name##_SPLAY(head, elm); \ 197 SPLAY_RIGHT((head)->sph_root, field) = __tmp; \ 198 } \ 199 return (elm); \ 200 } \ 201 return (NULL); \ 202 } \ 203 \ 204 void \ 205 name##_SPLAY(struct name *head, struct type *elm) \ 206 { \ 207 struct type __node, *__left, *__right, *__tmp; \ 208 int __comp; \ 209 \ 210 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\ 211 __left = __right = &__node; \ 212 \ 213 while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \ 214 if (__comp < 0) { \ 215 __tmp = SPLAY_LEFT((head)->sph_root, field); \ 216 if (__tmp == NULL) \ 217 break; \ 218 if ((cmp)(elm, __tmp) < 0){ \ 219 SPLAY_ROTATE_RIGHT(head, __tmp, field); \ 220 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\ 221 break; \ 222 } \ 223 SPLAY_LINKLEFT(head, __right, field); \ 224 } else if (__comp > 0) { \ 225 __tmp = SPLAY_RIGHT((head)->sph_root, field); \ 226 if (__tmp == NULL) \ 227 break; \ 228 if ((cmp)(elm, __tmp) > 0){ \ 229 SPLAY_ROTATE_LEFT(head, __tmp, field); \ 230 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\ 231 break; \ 232 } \ 233 SPLAY_LINKRIGHT(head, __left, field); \ 234 } \ 235 } \ 236 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ 237 } \ 238 \ 239 /* Splay with either the minimum or the maximum element \ 240 * Used to find minimum or maximum element in tree. \ 241 */ \ 242 void name##_SPLAY_MINMAX(struct name *head, int __comp) \ 243 { \ 244 struct type __node, *__left, *__right, *__tmp; \ 245 \ 246 SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\ 247 __left = __right = &__node; \ 248 \ 249 while (1) { \ 250 if (__comp < 0) { \ 251 __tmp = SPLAY_LEFT((head)->sph_root, field); \ 252 if (__tmp == NULL) \ 253 break; \ 254 if (__comp < 0){ \ 255 SPLAY_ROTATE_RIGHT(head, __tmp, field); \ 256 if (SPLAY_LEFT((head)->sph_root, field) == NULL)\ 257 break; \ 258 } \ 259 SPLAY_LINKLEFT(head, __right, field); \ 260 } else if (__comp > 0) { \ 261 __tmp = SPLAY_RIGHT((head)->sph_root, field); \ 262 if (__tmp == NULL) \ 263 break; \ 264 if (__comp > 0) { \ 265 SPLAY_ROTATE_LEFT(head, __tmp, field); \ 266 if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\ 267 break; \ 268 } \ 269 SPLAY_LINKRIGHT(head, __left, field); \ 270 } \ 271 } \ 272 SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ 273 } 274 275 #define SPLAY_NEGINF -1 276 #define SPLAY_INF 1 277 278 #define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y) 279 #define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y) 280 #define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y) 281 #define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y) 282 #define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \ 283 : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF)) 284 #define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \ 285 : name##_SPLAY_MIN_MAX(x, SPLAY_INF)) 286 287 #define SPLAY_FOREACH(x, name, head) \ 288 for ((x) = SPLAY_MIN(name, head); \ 289 (x) != NULL; \ 290 (x) = SPLAY_NEXT(name, head, x)) 291 292 /* Macros that define a red-black tree */ 293 294 #define RB_SCAN_INFO(name, type) \ 295 struct name##_scan_info { \ 296 struct name##_scan_info *link; \ 297 struct type *node; \ 298 } 299 300 #define RB_HEAD(name, type) \ 301 struct name { \ 302 struct type *rbh_root; /* root of the tree */ \ 303 struct name##_scan_info *rbh_inprog; /* scans in progress */ \ 304 } 305 306 #define RB_INITIALIZER(root) \ 307 { NULL, NULL } 308 309 #define RB_INIT(root) do { \ 310 (root)->rbh_root = NULL; \ 311 (root)->rbh_inprog = NULL; \ 312 } while (/*CONSTCOND*/ 0) 313 314 #define RB_BLACK 0 315 #define RB_RED 1 316 #define RB_ENTRY(type) \ 317 struct { \ 318 struct type *rbe_left; /* left element */ \ 319 struct type *rbe_right; /* right element */ \ 320 struct type *rbe_parent; /* parent element */ \ 321 int rbe_color; /* node color */ \ 322 } 323 324 #define RB_LEFT(elm, field) (elm)->field.rbe_left 325 #define RB_RIGHT(elm, field) (elm)->field.rbe_right 326 #define RB_PARENT(elm, field) (elm)->field.rbe_parent 327 #define RB_COLOR(elm, field) (elm)->field.rbe_color 328 #define RB_ROOT(head) (head)->rbh_root 329 #define RB_INPROG(head) (head)->rbh_inprog 330 #define RB_EMPTY(head) (RB_ROOT(head) == NULL) 331 332 #define RB_SET(elm, parent, field) do { \ 333 RB_PARENT(elm, field) = parent; \ 334 RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \ 335 RB_COLOR(elm, field) = RB_RED; \ 336 } while (/*CONSTCOND*/ 0) 337 338 #define RB_SET_BLACKRED(black, red, field) do { \ 339 RB_COLOR(black, field) = RB_BLACK; \ 340 RB_COLOR(red, field) = RB_RED; \ 341 } while (/*CONSTCOND*/ 0) 342 343 #ifndef RB_AUGMENT 344 #define RB_AUGMENT(x) 345 #endif 346 347 #define RB_ROTATE_LEFT(head, elm, tmp, field) do { \ 348 (tmp) = RB_RIGHT(elm, field); \ 349 if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \ 350 RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \ 351 } \ 352 RB_AUGMENT(elm); \ 353 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ 354 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ 355 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ 356 else \ 357 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ 358 } else \ 359 (head)->rbh_root = (tmp); \ 360 RB_LEFT(tmp, field) = (elm); \ 361 RB_PARENT(elm, field) = (tmp); \ 362 RB_AUGMENT(tmp); \ 363 if ((RB_PARENT(tmp, field))) \ 364 RB_AUGMENT(RB_PARENT(tmp, field)); \ 365 } while (/*CONSTCOND*/ 0) 366 367 #define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \ 368 (tmp) = RB_LEFT(elm, field); \ 369 if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \ 370 RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \ 371 } \ 372 RB_AUGMENT(elm); \ 373 if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ 374 if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ 375 RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ 376 else \ 377 RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ 378 } else \ 379 (head)->rbh_root = (tmp); \ 380 RB_RIGHT(tmp, field) = (elm); \ 381 RB_PARENT(elm, field) = (tmp); \ 382 RB_AUGMENT(tmp); \ 383 if ((RB_PARENT(tmp, field))) \ 384 RB_AUGMENT(RB_PARENT(tmp, field)); \ 385 } while (/*CONSTCOND*/ 0) 386 387 /* Generates prototypes and inline functions */ 388 #define RB_PROTOTYPE(name, type, field, cmp) \ 389 struct type *name##_RB_REMOVE(struct name *, struct type *); \ 390 struct type *name##_RB_INSERT(struct name *, struct type *); \ 391 struct type *name##_RB_FIND(struct name *, struct type *); \ 392 int name##_RB_SCAN(struct name *, int (*)(struct type *, void *), \ 393 int (*)(struct type *, void *), void *); \ 394 struct type *name##_RB_NEXT(struct type *); \ 395 struct type *name##_RB_MINMAX(struct name *, int); \ 396 RB_SCAN_INFO(name, type) \ 397 398 /* Main rb operation. 399 * Moves node close to the key of elm to top 400 */ 401 #define RB_GENERATE(name, type, field, cmp) \ 402 static void \ 403 name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \ 404 { \ 405 struct type *parent, *gparent, *tmp; \ 406 while ((parent = RB_PARENT(elm, field)) != NULL && \ 407 RB_COLOR(parent, field) == RB_RED) { \ 408 gparent = RB_PARENT(parent, field); \ 409 if (parent == RB_LEFT(gparent, field)) { \ 410 tmp = RB_RIGHT(gparent, field); \ 411 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ 412 RB_COLOR(tmp, field) = RB_BLACK; \ 413 RB_SET_BLACKRED(parent, gparent, field);\ 414 elm = gparent; \ 415 continue; \ 416 } \ 417 if (RB_RIGHT(parent, field) == elm) { \ 418 RB_ROTATE_LEFT(head, parent, tmp, field);\ 419 tmp = parent; \ 420 parent = elm; \ 421 elm = tmp; \ 422 } \ 423 RB_SET_BLACKRED(parent, gparent, field); \ 424 RB_ROTATE_RIGHT(head, gparent, tmp, field); \ 425 } else { \ 426 tmp = RB_LEFT(gparent, field); \ 427 if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ 428 RB_COLOR(tmp, field) = RB_BLACK; \ 429 RB_SET_BLACKRED(parent, gparent, field);\ 430 elm = gparent; \ 431 continue; \ 432 } \ 433 if (RB_LEFT(parent, field) == elm) { \ 434 RB_ROTATE_RIGHT(head, parent, tmp, field);\ 435 tmp = parent; \ 436 parent = elm; \ 437 elm = tmp; \ 438 } \ 439 RB_SET_BLACKRED(parent, gparent, field); \ 440 RB_ROTATE_LEFT(head, gparent, tmp, field); \ 441 } \ 442 } \ 443 RB_COLOR(head->rbh_root, field) = RB_BLACK; \ 444 } \ 445 \ 446 static void \ 447 name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, \ 448 struct type *elm) \ 449 { \ 450 struct type *tmp; \ 451 while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \ 452 elm != RB_ROOT(head)) { \ 453 if (RB_LEFT(parent, field) == elm) { \ 454 tmp = RB_RIGHT(parent, field); \ 455 if (RB_COLOR(tmp, field) == RB_RED) { \ 456 RB_SET_BLACKRED(tmp, parent, field); \ 457 RB_ROTATE_LEFT(head, parent, tmp, field);\ 458 tmp = RB_RIGHT(parent, field); \ 459 } \ 460 if ((RB_LEFT(tmp, field) == NULL || \ 461 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ 462 (RB_RIGHT(tmp, field) == NULL || \ 463 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ 464 RB_COLOR(tmp, field) = RB_RED; \ 465 elm = parent; \ 466 parent = RB_PARENT(elm, field); \ 467 } else { \ 468 if (RB_RIGHT(tmp, field) == NULL || \ 469 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\ 470 struct type *oleft; \ 471 if ((oleft = RB_LEFT(tmp, field)) \ 472 != NULL) \ 473 RB_COLOR(oleft, field) = RB_BLACK;\ 474 RB_COLOR(tmp, field) = RB_RED; \ 475 RB_ROTATE_RIGHT(head, tmp, oleft, field);\ 476 tmp = RB_RIGHT(parent, field); \ 477 } \ 478 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ 479 RB_COLOR(parent, field) = RB_BLACK; \ 480 if (RB_RIGHT(tmp, field)) \ 481 RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\ 482 RB_ROTATE_LEFT(head, parent, tmp, field);\ 483 elm = RB_ROOT(head); \ 484 break; \ 485 } \ 486 } else { \ 487 tmp = RB_LEFT(parent, field); \ 488 if (RB_COLOR(tmp, field) == RB_RED) { \ 489 RB_SET_BLACKRED(tmp, parent, field); \ 490 RB_ROTATE_RIGHT(head, parent, tmp, field);\ 491 tmp = RB_LEFT(parent, field); \ 492 } \ 493 if ((RB_LEFT(tmp, field) == NULL || \ 494 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ 495 (RB_RIGHT(tmp, field) == NULL || \ 496 RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ 497 RB_COLOR(tmp, field) = RB_RED; \ 498 elm = parent; \ 499 parent = RB_PARENT(elm, field); \ 500 } else { \ 501 if (RB_LEFT(tmp, field) == NULL || \ 502 RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\ 503 struct type *oright; \ 504 if ((oright = RB_RIGHT(tmp, field)) \ 505 != NULL) \ 506 RB_COLOR(oright, field) = RB_BLACK;\ 507 RB_COLOR(tmp, field) = RB_RED; \ 508 RB_ROTATE_LEFT(head, tmp, oright, field);\ 509 tmp = RB_LEFT(parent, field); \ 510 } \ 511 RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ 512 RB_COLOR(parent, field) = RB_BLACK; \ 513 if (RB_LEFT(tmp, field)) \ 514 RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\ 515 RB_ROTATE_RIGHT(head, parent, tmp, field);\ 516 elm = RB_ROOT(head); \ 517 break; \ 518 } \ 519 } \ 520 } \ 521 if (elm) \ 522 RB_COLOR(elm, field) = RB_BLACK; \ 523 } \ 524 \ 525 struct type * \ 526 name##_RB_REMOVE(struct name *head, struct type *elm) \ 527 { \ 528 struct type *child, *parent, *old; \ 529 struct name##_scan_info *inprog; \ 530 int color; \ 531 \ 532 for (inprog = RB_INPROG(head); inprog; inprog = inprog->link) { \ 533 if (inprog->node == elm) \ 534 inprog->node = RB_NEXT(name, head, elm); \ 535 } \ 536 \ 537 old = elm; \ 538 if (RB_LEFT(elm, field) == NULL) \ 539 child = RB_RIGHT(elm, field); \ 540 else if (RB_RIGHT(elm, field) == NULL) \ 541 child = RB_LEFT(elm, field); \ 542 else { \ 543 struct type *left; \ 544 elm = RB_RIGHT(elm, field); \ 545 while ((left = RB_LEFT(elm, field)) != NULL) \ 546 elm = left; \ 547 child = RB_RIGHT(elm, field); \ 548 parent = RB_PARENT(elm, field); \ 549 color = RB_COLOR(elm, field); \ 550 if (child) \ 551 RB_PARENT(child, field) = parent; \ 552 if (parent) { \ 553 if (RB_LEFT(parent, field) == elm) \ 554 RB_LEFT(parent, field) = child; \ 555 else \ 556 RB_RIGHT(parent, field) = child; \ 557 RB_AUGMENT(parent); \ 558 } else \ 559 RB_ROOT(head) = child; \ 560 if (RB_PARENT(elm, field) == old) \ 561 parent = elm; \ 562 (elm)->field = (old)->field; \ 563 if (RB_PARENT(old, field)) { \ 564 if (RB_LEFT(RB_PARENT(old, field), field) == old)\ 565 RB_LEFT(RB_PARENT(old, field), field) = elm;\ 566 else \ 567 RB_RIGHT(RB_PARENT(old, field), field) = elm;\ 568 RB_AUGMENT(RB_PARENT(old, field)); \ 569 } else \ 570 RB_ROOT(head) = elm; \ 571 RB_PARENT(RB_LEFT(old, field), field) = elm; \ 572 if (RB_RIGHT(old, field)) \ 573 RB_PARENT(RB_RIGHT(old, field), field) = elm; \ 574 if (parent) { \ 575 left = parent; \ 576 do { \ 577 RB_AUGMENT(left); \ 578 } while ((left = RB_PARENT(left, field)) != NULL); \ 579 } \ 580 goto color; \ 581 } \ 582 parent = RB_PARENT(elm, field); \ 583 color = RB_COLOR(elm, field); \ 584 if (child) \ 585 RB_PARENT(child, field) = parent; \ 586 if (parent) { \ 587 if (RB_LEFT(parent, field) == elm) \ 588 RB_LEFT(parent, field) = child; \ 589 else \ 590 RB_RIGHT(parent, field) = child; \ 591 RB_AUGMENT(parent); \ 592 } else \ 593 RB_ROOT(head) = child; \ 594 color: \ 595 if (color == RB_BLACK) \ 596 name##_RB_REMOVE_COLOR(head, parent, child); \ 597 return (old); \ 598 } \ 599 \ 600 /* Inserts a node into the RB tree */ \ 601 struct type * \ 602 name##_RB_INSERT(struct name *head, struct type *elm) \ 603 { \ 604 struct type *tmp; \ 605 struct type *parent = NULL; \ 606 int comp = 0; \ 607 tmp = RB_ROOT(head); \ 608 while (tmp) { \ 609 parent = tmp; \ 610 comp = (cmp)(elm, parent); \ 611 if (comp < 0) \ 612 tmp = RB_LEFT(tmp, field); \ 613 else if (comp > 0) \ 614 tmp = RB_RIGHT(tmp, field); \ 615 else \ 616 return(tmp); \ 617 } \ 618 RB_SET(elm, parent, field); \ 619 if (parent != NULL) { \ 620 if (comp < 0) \ 621 RB_LEFT(parent, field) = elm; \ 622 else \ 623 RB_RIGHT(parent, field) = elm; \ 624 RB_AUGMENT(parent); \ 625 } else \ 626 RB_ROOT(head) = elm; \ 627 name##_RB_INSERT_COLOR(head, elm); \ 628 return (NULL); \ 629 } \ 630 \ 631 /* Finds the node with the same key as elm */ \ 632 struct type * \ 633 name##_RB_FIND(struct name *head, struct type *elm) \ 634 { \ 635 struct type *tmp = RB_ROOT(head); \ 636 int comp; \ 637 while (tmp) { \ 638 comp = cmp(elm, tmp); \ 639 if (comp < 0) \ 640 tmp = RB_LEFT(tmp, field); \ 641 else if (comp > 0) \ 642 tmp = RB_RIGHT(tmp, field); \ 643 else \ 644 return (tmp); \ 645 } \ 646 return (NULL); \ 647 } \ 648 \ 649 /* \ 650 * Issue a callback for all matching items. The scan function must \ 651 * return < 0 for items below the desired range, 0 for items within \ 652 * the range, and > 0 for items beyond the range. Any item may be \ 653 * deleted while the scan is in progress. \ 654 */ \ 655 static int \ 656 name##_SCANCMP_ALL(struct type *type, void *data) \ 657 { \ 658 return(0); \ 659 } \ 660 \ 661 int \ 662 name##_RB_SCAN(struct name *head, \ 663 int (*scancmp)(struct type *, void *), \ 664 int (*callback)(struct type *, void *), \ 665 void *data) \ 666 { \ 667 struct name##_scan_info info; \ 668 struct name##_scan_info **infopp; \ 669 struct type *best; \ 670 struct type *tmp; \ 671 int count; \ 672 int comp; \ 673 \ 674 if (scancmp == NULL) \ 675 scancmp = name##_SCANCMP_ALL; \ 676 \ 677 /* \ 678 * Locate the first element. \ 679 */ \ 680 tmp = RB_ROOT(head); \ 681 best = NULL; \ 682 while (tmp) { \ 683 comp = scancmp(tmp, data); \ 684 if (comp < 0) { \ 685 tmp = RB_RIGHT(tmp, field); \ 686 } else if (comp > 0) { \ 687 tmp = RB_LEFT(tmp, field); \ 688 } else { \ 689 best = tmp; \ 690 if (RB_LEFT(tmp, field) == NULL) \ 691 break; \ 692 tmp = RB_LEFT(tmp, field); \ 693 } \ 694 } \ 695 count = 0; \ 696 if (best) { \ 697 info.node = RB_NEXT(name, head, best); \ 698 info.link = RB_INPROG(head); \ 699 RB_INPROG(head) = &info; \ 700 while ((comp = callback(best, data)) >= 0) { \ 701 count += comp; \ 702 best = info.node; \ 703 if (best == NULL || scancmp(best, data) != 0) \ 704 break; \ 705 info.node = RB_NEXT(name, head, best); \ 706 } \ 707 if (comp < 0) /* error or termination */ \ 708 count = comp; \ 709 infopp = &RB_INPROG(head); \ 710 while (*infopp != &info) \ 711 infopp = &(*infopp)->link; \ 712 *infopp = info.link; \ 713 } \ 714 return(count); \ 715 } \ 716 \ 717 /* ARGSUSED */ \ 718 struct type * \ 719 name##_RB_NEXT(struct type *elm) \ 720 { \ 721 if (RB_RIGHT(elm, field)) { \ 722 elm = RB_RIGHT(elm, field); \ 723 while (RB_LEFT(elm, field)) \ 724 elm = RB_LEFT(elm, field); \ 725 } else { \ 726 if (RB_PARENT(elm, field) && \ 727 (elm == RB_LEFT(RB_PARENT(elm, field), field))) \ 728 elm = RB_PARENT(elm, field); \ 729 else { \ 730 while (RB_PARENT(elm, field) && \ 731 (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\ 732 elm = RB_PARENT(elm, field); \ 733 elm = RB_PARENT(elm, field); \ 734 } \ 735 } \ 736 return (elm); \ 737 } \ 738 \ 739 struct type * \ 740 name##_RB_MINMAX(struct name *head, int val) \ 741 { \ 742 struct type *tmp = RB_ROOT(head); \ 743 struct type *parent = NULL; \ 744 while (tmp) { \ 745 parent = tmp; \ 746 if (val < 0) \ 747 tmp = RB_LEFT(tmp, field); \ 748 else \ 749 tmp = RB_RIGHT(tmp, field); \ 750 } \ 751 return (parent); \ 752 } 753 754 #define RB_NEGINF -1 755 #define RB_INF 1 756 757 #define RB_INSERT(name, x, y) name##_RB_INSERT(x, y) 758 #define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y) 759 #define RB_FIND(name, x, y) name##_RB_FIND(x, y) 760 #define RB_SCAN(name, root, cmp, callback, data) \ 761 name##_RB_SCAN(root, cmp, callback, data) 762 #define RB_NEXT(name, x, y) name##_RB_NEXT(y) 763 #define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF) 764 #define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF) 765 766 #define RB_FOREACH(x, name, head) \ 767 for ((x) = RB_MIN(name, head); \ 768 (x) != NULL; \ 769 (x) = name##_RB_NEXT(x)) 770 771 #endif /* _SYS_TREE_H_ */ 772