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1.1 ! nbrk 1: /* $OpenBSD: tree.h,v 1.9 2004/11/24 18:10:42 tdeval Exp $ */
! 2: /*
! 3: * Copyright 2002 Niels Provos <provos@citi.umich.edu>
! 4: * All rights reserved.
! 5: *
! 6: * Redistribution and use in source and binary forms, with or without
! 7: * modification, are permitted provided that the following conditions
! 8: * are met:
! 9: * 1. Redistributions of source code must retain the above copyright
! 10: * notice, this list of conditions and the following disclaimer.
! 11: * 2. Redistributions in binary form must reproduce the above copyright
! 12: * notice, this list of conditions and the following disclaimer in the
! 13: * documentation and/or other materials provided with the distribution.
! 14: *
! 15: * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
! 16: * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
! 17: * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
! 18: * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
! 19: * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
! 20: * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
! 21: * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
! 22: * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
! 23: * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
! 24: * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
! 25: */
! 26:
! 27: #ifndef _SYS_TREE_H_
! 28: #define _SYS_TREE_H_
! 29:
! 30: /*
! 31: * This file defines data structures for different types of trees:
! 32: * splay trees and red-black trees.
! 33: *
! 34: * A splay tree is a self-organizing data structure. Every operation
! 35: * on the tree causes a splay to happen. The splay moves the requested
! 36: * node to the root of the tree and partly rebalances it.
! 37: *
! 38: * This has the benefit that request locality causes faster lookups as
! 39: * the requested nodes move to the top of the tree. On the other hand,
! 40: * every lookup causes memory writes.
! 41: *
! 42: * The Balance Theorem bounds the total access time for m operations
! 43: * and n inserts on an initially empty tree as O((m + n)lg n). The
! 44: * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
! 45: *
! 46: * A red-black tree is a binary search tree with the node color as an
! 47: * extra attribute. It fulfills a set of conditions:
! 48: * - every search path from the root to a leaf consists of the
! 49: * same number of black nodes,
! 50: * - each red node (except for the root) has a black parent,
! 51: * - each leaf node is black.
! 52: *
! 53: * Every operation on a red-black tree is bounded as O(lg n).
! 54: * The maximum height of a red-black tree is 2lg (n+1).
! 55: */
! 56:
! 57: #define SPLAY_HEAD(name, type) \
! 58: struct name { \
! 59: struct type *sph_root; /* root of the tree */ \
! 60: }
! 61:
! 62: #define SPLAY_INITIALIZER(root) \
! 63: { NULL }
! 64:
! 65: #define SPLAY_INIT(root) do { \
! 66: (root)->sph_root = NULL; \
! 67: } while (0)
! 68:
! 69: #define SPLAY_ENTRY(type) \
! 70: struct { \
! 71: struct type *spe_left; /* left element */ \
! 72: struct type *spe_right; /* right element */ \
! 73: }
! 74:
! 75: #define SPLAY_LEFT(elm, field) (elm)->field.spe_left
! 76: #define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
! 77: #define SPLAY_ROOT(head) (head)->sph_root
! 78: #define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
! 79:
! 80: /* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
! 81: #define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
! 82: SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
! 83: SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
! 84: (head)->sph_root = tmp; \
! 85: } while (0)
! 86:
! 87: #define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
! 88: SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
! 89: SPLAY_LEFT(tmp, field) = (head)->sph_root; \
! 90: (head)->sph_root = tmp; \
! 91: } while (0)
! 92:
! 93: #define SPLAY_LINKLEFT(head, tmp, field) do { \
! 94: SPLAY_LEFT(tmp, field) = (head)->sph_root; \
! 95: tmp = (head)->sph_root; \
! 96: (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
! 97: } while (0)
! 98:
! 99: #define SPLAY_LINKRIGHT(head, tmp, field) do { \
! 100: SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
! 101: tmp = (head)->sph_root; \
! 102: (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
! 103: } while (0)
! 104:
! 105: #define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
! 106: SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
! 107: SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
! 108: SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
! 109: SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
! 110: } while (0)
! 111:
! 112: /* Generates prototypes and inline functions */
! 113:
! 114: #define SPLAY_PROTOTYPE(name, type, field, cmp) \
! 115: void name##_SPLAY(struct name *, struct type *); \
! 116: void name##_SPLAY_MINMAX(struct name *, int); \
! 117: struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
! 118: struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
! 119: \
! 120: /* Finds the node with the same key as elm */ \
! 121: static __inline struct type * \
! 122: name##_SPLAY_FIND(struct name *head, struct type *elm) \
! 123: { \
! 124: if (SPLAY_EMPTY(head)) \
! 125: return(NULL); \
! 126: name##_SPLAY(head, elm); \
! 127: if ((cmp)(elm, (head)->sph_root) == 0) \
! 128: return (head->sph_root); \
! 129: return (NULL); \
! 130: } \
! 131: \
! 132: static __inline struct type * \
! 133: name##_SPLAY_NEXT(struct name *head, struct type *elm) \
! 134: { \
! 135: name##_SPLAY(head, elm); \
! 136: if (SPLAY_RIGHT(elm, field) != NULL) { \
! 137: elm = SPLAY_RIGHT(elm, field); \
! 138: while (SPLAY_LEFT(elm, field) != NULL) { \
! 139: elm = SPLAY_LEFT(elm, field); \
! 140: } \
! 141: } else \
! 142: elm = NULL; \
! 143: return (elm); \
! 144: } \
! 145: \
! 146: static __inline struct type * \
! 147: name##_SPLAY_MIN_MAX(struct name *head, int val) \
! 148: { \
! 149: name##_SPLAY_MINMAX(head, val); \
! 150: return (SPLAY_ROOT(head)); \
! 151: }
! 152:
! 153: /* Main splay operation.
! 154: * Moves node close to the key of elm to top
! 155: */
! 156: #define SPLAY_GENERATE(name, type, field, cmp) \
! 157: struct type * \
! 158: name##_SPLAY_INSERT(struct name *head, struct type *elm) \
! 159: { \
! 160: if (SPLAY_EMPTY(head)) { \
! 161: SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
! 162: } else { \
! 163: int __comp; \
! 164: name##_SPLAY(head, elm); \
! 165: __comp = (cmp)(elm, (head)->sph_root); \
! 166: if(__comp < 0) { \
! 167: SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
! 168: SPLAY_RIGHT(elm, field) = (head)->sph_root; \
! 169: SPLAY_LEFT((head)->sph_root, field) = NULL; \
! 170: } else if (__comp > 0) { \
! 171: SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
! 172: SPLAY_LEFT(elm, field) = (head)->sph_root; \
! 173: SPLAY_RIGHT((head)->sph_root, field) = NULL; \
! 174: } else \
! 175: return ((head)->sph_root); \
! 176: } \
! 177: (head)->sph_root = (elm); \
! 178: return (NULL); \
! 179: } \
! 180: \
! 181: struct type * \
! 182: name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
! 183: { \
! 184: struct type *__tmp; \
! 185: if (SPLAY_EMPTY(head)) \
! 186: return (NULL); \
! 187: name##_SPLAY(head, elm); \
! 188: if ((cmp)(elm, (head)->sph_root) == 0) { \
! 189: if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
! 190: (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
! 191: } else { \
! 192: __tmp = SPLAY_RIGHT((head)->sph_root, field); \
! 193: (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
! 194: name##_SPLAY(head, elm); \
! 195: SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
! 196: } \
! 197: return (elm); \
! 198: } \
! 199: return (NULL); \
! 200: } \
! 201: \
! 202: void \
! 203: name##_SPLAY(struct name *head, struct type *elm) \
! 204: { \
! 205: struct type __node, *__left, *__right, *__tmp; \
! 206: int __comp; \
! 207: \
! 208: SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
! 209: __left = __right = &__node; \
! 210: \
! 211: while ((__comp = (cmp)(elm, (head)->sph_root))) { \
! 212: if (__comp < 0) { \
! 213: __tmp = SPLAY_LEFT((head)->sph_root, field); \
! 214: if (__tmp == NULL) \
! 215: break; \
! 216: if ((cmp)(elm, __tmp) < 0){ \
! 217: SPLAY_ROTATE_RIGHT(head, __tmp, field); \
! 218: if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
! 219: break; \
! 220: } \
! 221: SPLAY_LINKLEFT(head, __right, field); \
! 222: } else if (__comp > 0) { \
! 223: __tmp = SPLAY_RIGHT((head)->sph_root, field); \
! 224: if (__tmp == NULL) \
! 225: break; \
! 226: if ((cmp)(elm, __tmp) > 0){ \
! 227: SPLAY_ROTATE_LEFT(head, __tmp, field); \
! 228: if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
! 229: break; \
! 230: } \
! 231: SPLAY_LINKRIGHT(head, __left, field); \
! 232: } \
! 233: } \
! 234: SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
! 235: } \
! 236: \
! 237: /* Splay with either the minimum or the maximum element \
! 238: * Used to find minimum or maximum element in tree. \
! 239: */ \
! 240: void name##_SPLAY_MINMAX(struct name *head, int __comp) \
! 241: { \
! 242: struct type __node, *__left, *__right, *__tmp; \
! 243: \
! 244: SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
! 245: __left = __right = &__node; \
! 246: \
! 247: while (1) { \
! 248: if (__comp < 0) { \
! 249: __tmp = SPLAY_LEFT((head)->sph_root, field); \
! 250: if (__tmp == NULL) \
! 251: break; \
! 252: if (__comp < 0){ \
! 253: SPLAY_ROTATE_RIGHT(head, __tmp, field); \
! 254: if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
! 255: break; \
! 256: } \
! 257: SPLAY_LINKLEFT(head, __right, field); \
! 258: } else if (__comp > 0) { \
! 259: __tmp = SPLAY_RIGHT((head)->sph_root, field); \
! 260: if (__tmp == NULL) \
! 261: break; \
! 262: if (__comp > 0) { \
! 263: SPLAY_ROTATE_LEFT(head, __tmp, field); \
! 264: if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
! 265: break; \
! 266: } \
! 267: SPLAY_LINKRIGHT(head, __left, field); \
! 268: } \
! 269: } \
! 270: SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
! 271: }
! 272:
! 273: #define SPLAY_NEGINF -1
! 274: #define SPLAY_INF 1
! 275:
! 276: #define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
! 277: #define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
! 278: #define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
! 279: #define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
! 280: #define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
! 281: : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
! 282: #define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
! 283: : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
! 284:
! 285: #define SPLAY_FOREACH(x, name, head) \
! 286: for ((x) = SPLAY_MIN(name, head); \
! 287: (x) != NULL; \
! 288: (x) = SPLAY_NEXT(name, head, x))
! 289:
! 290: /* Macros that define a red-black tree */
! 291: #define RB_HEAD(name, type) \
! 292: struct name { \
! 293: struct type *rbh_root; /* root of the tree */ \
! 294: }
! 295:
! 296: #define RB_INITIALIZER(root) \
! 297: { NULL }
! 298:
! 299: #define RB_INIT(root) do { \
! 300: (root)->rbh_root = NULL; \
! 301: } while (0)
! 302:
! 303: #define RB_BLACK 0
! 304: #define RB_RED 1
! 305: #define RB_ENTRY(type) \
! 306: struct { \
! 307: struct type *rbe_left; /* left element */ \
! 308: struct type *rbe_right; /* right element */ \
! 309: struct type *rbe_parent; /* parent element */ \
! 310: int rbe_color; /* node color */ \
! 311: }
! 312:
! 313: #define RB_LEFT(elm, field) (elm)->field.rbe_left
! 314: #define RB_RIGHT(elm, field) (elm)->field.rbe_right
! 315: #define RB_PARENT(elm, field) (elm)->field.rbe_parent
! 316: #define RB_COLOR(elm, field) (elm)->field.rbe_color
! 317: #define RB_ROOT(head) (head)->rbh_root
! 318: #define RB_EMPTY(head) (RB_ROOT(head) == NULL)
! 319:
! 320: #define RB_SET(elm, parent, field) do { \
! 321: RB_PARENT(elm, field) = parent; \
! 322: RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
! 323: RB_COLOR(elm, field) = RB_RED; \
! 324: } while (0)
! 325:
! 326: #define RB_SET_BLACKRED(black, red, field) do { \
! 327: RB_COLOR(black, field) = RB_BLACK; \
! 328: RB_COLOR(red, field) = RB_RED; \
! 329: } while (0)
! 330:
! 331: #ifndef RB_AUGMENT
! 332: #define RB_AUGMENT(x)
! 333: #endif
! 334:
! 335: #define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
! 336: (tmp) = RB_RIGHT(elm, field); \
! 337: if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \
! 338: RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
! 339: } \
! 340: RB_AUGMENT(elm); \
! 341: if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
! 342: if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
! 343: RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
! 344: else \
! 345: RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
! 346: } else \
! 347: (head)->rbh_root = (tmp); \
! 348: RB_LEFT(tmp, field) = (elm); \
! 349: RB_PARENT(elm, field) = (tmp); \
! 350: RB_AUGMENT(tmp); \
! 351: if ((RB_PARENT(tmp, field))) \
! 352: RB_AUGMENT(RB_PARENT(tmp, field)); \
! 353: } while (0)
! 354:
! 355: #define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
! 356: (tmp) = RB_LEFT(elm, field); \
! 357: if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \
! 358: RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
! 359: } \
! 360: RB_AUGMENT(elm); \
! 361: if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
! 362: if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
! 363: RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
! 364: else \
! 365: RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
! 366: } else \
! 367: (head)->rbh_root = (tmp); \
! 368: RB_RIGHT(tmp, field) = (elm); \
! 369: RB_PARENT(elm, field) = (tmp); \
! 370: RB_AUGMENT(tmp); \
! 371: if ((RB_PARENT(tmp, field))) \
! 372: RB_AUGMENT(RB_PARENT(tmp, field)); \
! 373: } while (0)
! 374:
! 375: /* Generates prototypes and inline functions */
! 376: #define RB_PROTOTYPE(name, type, field, cmp) \
! 377: void name##_RB_INSERT_COLOR(struct name *, struct type *); \
! 378: void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
! 379: struct type *name##_RB_REMOVE(struct name *, struct type *); \
! 380: struct type *name##_RB_INSERT(struct name *, struct type *); \
! 381: struct type *name##_RB_FIND(struct name *, struct type *); \
! 382: struct type *name##_RB_NEXT(struct type *); \
! 383: struct type *name##_RB_MINMAX(struct name *, int); \
! 384: \
! 385:
! 386: /* Main rb operation.
! 387: * Moves node close to the key of elm to top
! 388: */
! 389: #define RB_GENERATE(name, type, field, cmp) \
! 390: void \
! 391: name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
! 392: { \
! 393: struct type *parent, *gparent, *tmp; \
! 394: while ((parent = RB_PARENT(elm, field)) && \
! 395: RB_COLOR(parent, field) == RB_RED) { \
! 396: gparent = RB_PARENT(parent, field); \
! 397: if (parent == RB_LEFT(gparent, field)) { \
! 398: tmp = RB_RIGHT(gparent, field); \
! 399: if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
! 400: RB_COLOR(tmp, field) = RB_BLACK; \
! 401: RB_SET_BLACKRED(parent, gparent, field);\
! 402: elm = gparent; \
! 403: continue; \
! 404: } \
! 405: if (RB_RIGHT(parent, field) == elm) { \
! 406: RB_ROTATE_LEFT(head, parent, tmp, field);\
! 407: tmp = parent; \
! 408: parent = elm; \
! 409: elm = tmp; \
! 410: } \
! 411: RB_SET_BLACKRED(parent, gparent, field); \
! 412: RB_ROTATE_RIGHT(head, gparent, tmp, field); \
! 413: } else { \
! 414: tmp = RB_LEFT(gparent, field); \
! 415: if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
! 416: RB_COLOR(tmp, field) = RB_BLACK; \
! 417: RB_SET_BLACKRED(parent, gparent, field);\
! 418: elm = gparent; \
! 419: continue; \
! 420: } \
! 421: if (RB_LEFT(parent, field) == elm) { \
! 422: RB_ROTATE_RIGHT(head, parent, tmp, field);\
! 423: tmp = parent; \
! 424: parent = elm; \
! 425: elm = tmp; \
! 426: } \
! 427: RB_SET_BLACKRED(parent, gparent, field); \
! 428: RB_ROTATE_LEFT(head, gparent, tmp, field); \
! 429: } \
! 430: } \
! 431: RB_COLOR(head->rbh_root, field) = RB_BLACK; \
! 432: } \
! 433: \
! 434: void \
! 435: name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
! 436: { \
! 437: struct type *tmp; \
! 438: while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
! 439: elm != RB_ROOT(head)) { \
! 440: if (RB_LEFT(parent, field) == elm) { \
! 441: tmp = RB_RIGHT(parent, field); \
! 442: if (RB_COLOR(tmp, field) == RB_RED) { \
! 443: RB_SET_BLACKRED(tmp, parent, field); \
! 444: RB_ROTATE_LEFT(head, parent, tmp, field);\
! 445: tmp = RB_RIGHT(parent, field); \
! 446: } \
! 447: if ((RB_LEFT(tmp, field) == NULL || \
! 448: RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
! 449: (RB_RIGHT(tmp, field) == NULL || \
! 450: RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
! 451: RB_COLOR(tmp, field) = RB_RED; \
! 452: elm = parent; \
! 453: parent = RB_PARENT(elm, field); \
! 454: } else { \
! 455: if (RB_RIGHT(tmp, field) == NULL || \
! 456: RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
! 457: struct type *oleft; \
! 458: if ((oleft = RB_LEFT(tmp, field)))\
! 459: RB_COLOR(oleft, field) = RB_BLACK;\
! 460: RB_COLOR(tmp, field) = RB_RED; \
! 461: RB_ROTATE_RIGHT(head, tmp, oleft, field);\
! 462: tmp = RB_RIGHT(parent, field); \
! 463: } \
! 464: RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
! 465: RB_COLOR(parent, field) = RB_BLACK; \
! 466: if (RB_RIGHT(tmp, field)) \
! 467: RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
! 468: RB_ROTATE_LEFT(head, parent, tmp, field);\
! 469: elm = RB_ROOT(head); \
! 470: break; \
! 471: } \
! 472: } else { \
! 473: tmp = RB_LEFT(parent, field); \
! 474: if (RB_COLOR(tmp, field) == RB_RED) { \
! 475: RB_SET_BLACKRED(tmp, parent, field); \
! 476: RB_ROTATE_RIGHT(head, parent, tmp, field);\
! 477: tmp = RB_LEFT(parent, field); \
! 478: } \
! 479: if ((RB_LEFT(tmp, field) == NULL || \
! 480: RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
! 481: (RB_RIGHT(tmp, field) == NULL || \
! 482: RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
! 483: RB_COLOR(tmp, field) = RB_RED; \
! 484: elm = parent; \
! 485: parent = RB_PARENT(elm, field); \
! 486: } else { \
! 487: if (RB_LEFT(tmp, field) == NULL || \
! 488: RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
! 489: struct type *oright; \
! 490: if ((oright = RB_RIGHT(tmp, field)))\
! 491: RB_COLOR(oright, field) = RB_BLACK;\
! 492: RB_COLOR(tmp, field) = RB_RED; \
! 493: RB_ROTATE_LEFT(head, tmp, oright, field);\
! 494: tmp = RB_LEFT(parent, field); \
! 495: } \
! 496: RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
! 497: RB_COLOR(parent, field) = RB_BLACK; \
! 498: if (RB_LEFT(tmp, field)) \
! 499: RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
! 500: RB_ROTATE_RIGHT(head, parent, tmp, field);\
! 501: elm = RB_ROOT(head); \
! 502: break; \
! 503: } \
! 504: } \
! 505: } \
! 506: if (elm) \
! 507: RB_COLOR(elm, field) = RB_BLACK; \
! 508: } \
! 509: \
! 510: struct type * \
! 511: name##_RB_REMOVE(struct name *head, struct type *elm) \
! 512: { \
! 513: struct type *child, *parent, *old = elm; \
! 514: int color; \
! 515: if (RB_LEFT(elm, field) == NULL) \
! 516: child = RB_RIGHT(elm, field); \
! 517: else if (RB_RIGHT(elm, field) == NULL) \
! 518: child = RB_LEFT(elm, field); \
! 519: else { \
! 520: struct type *left; \
! 521: elm = RB_RIGHT(elm, field); \
! 522: while ((left = RB_LEFT(elm, field))) \
! 523: elm = left; \
! 524: child = RB_RIGHT(elm, field); \
! 525: parent = RB_PARENT(elm, field); \
! 526: color = RB_COLOR(elm, field); \
! 527: if (child) \
! 528: RB_PARENT(child, field) = parent; \
! 529: if (parent) { \
! 530: if (RB_LEFT(parent, field) == elm) \
! 531: RB_LEFT(parent, field) = child; \
! 532: else \
! 533: RB_RIGHT(parent, field) = child; \
! 534: RB_AUGMENT(parent); \
! 535: } else \
! 536: RB_ROOT(head) = child; \
! 537: if (RB_PARENT(elm, field) == old) \
! 538: parent = elm; \
! 539: (elm)->field = (old)->field; \
! 540: if (RB_PARENT(old, field)) { \
! 541: if (RB_LEFT(RB_PARENT(old, field), field) == old)\
! 542: RB_LEFT(RB_PARENT(old, field), field) = elm;\
! 543: else \
! 544: RB_RIGHT(RB_PARENT(old, field), field) = elm;\
! 545: RB_AUGMENT(RB_PARENT(old, field)); \
! 546: } else \
! 547: RB_ROOT(head) = elm; \
! 548: RB_PARENT(RB_LEFT(old, field), field) = elm; \
! 549: if (RB_RIGHT(old, field)) \
! 550: RB_PARENT(RB_RIGHT(old, field), field) = elm; \
! 551: if (parent) { \
! 552: left = parent; \
! 553: do { \
! 554: RB_AUGMENT(left); \
! 555: } while ((left = RB_PARENT(left, field))); \
! 556: } \
! 557: goto color; \
! 558: } \
! 559: parent = RB_PARENT(elm, field); \
! 560: color = RB_COLOR(elm, field); \
! 561: if (child) \
! 562: RB_PARENT(child, field) = parent; \
! 563: if (parent) { \
! 564: if (RB_LEFT(parent, field) == elm) \
! 565: RB_LEFT(parent, field) = child; \
! 566: else \
! 567: RB_RIGHT(parent, field) = child; \
! 568: RB_AUGMENT(parent); \
! 569: } else \
! 570: RB_ROOT(head) = child; \
! 571: color: \
! 572: if (color == RB_BLACK) \
! 573: name##_RB_REMOVE_COLOR(head, parent, child); \
! 574: return (old); \
! 575: } \
! 576: \
! 577: /* Inserts a node into the RB tree */ \
! 578: struct type * \
! 579: name##_RB_INSERT(struct name *head, struct type *elm) \
! 580: { \
! 581: struct type *tmp; \
! 582: struct type *parent = NULL; \
! 583: int comp = 0; \
! 584: tmp = RB_ROOT(head); \
! 585: while (tmp) { \
! 586: parent = tmp; \
! 587: comp = (cmp)(elm, parent); \
! 588: if (comp < 0) \
! 589: tmp = RB_LEFT(tmp, field); \
! 590: else if (comp > 0) \
! 591: tmp = RB_RIGHT(tmp, field); \
! 592: else \
! 593: return (tmp); \
! 594: } \
! 595: RB_SET(elm, parent, field); \
! 596: if (parent != NULL) { \
! 597: if (comp < 0) \
! 598: RB_LEFT(parent, field) = elm; \
! 599: else \
! 600: RB_RIGHT(parent, field) = elm; \
! 601: RB_AUGMENT(parent); \
! 602: } else \
! 603: RB_ROOT(head) = elm; \
! 604: name##_RB_INSERT_COLOR(head, elm); \
! 605: return (NULL); \
! 606: } \
! 607: \
! 608: /* Finds the node with the same key as elm */ \
! 609: struct type * \
! 610: name##_RB_FIND(struct name *head, struct type *elm) \
! 611: { \
! 612: struct type *tmp = RB_ROOT(head); \
! 613: int comp; \
! 614: while (tmp) { \
! 615: comp = cmp(elm, tmp); \
! 616: if (comp < 0) \
! 617: tmp = RB_LEFT(tmp, field); \
! 618: else if (comp > 0) \
! 619: tmp = RB_RIGHT(tmp, field); \
! 620: else \
! 621: return (tmp); \
! 622: } \
! 623: return (NULL); \
! 624: } \
! 625: \
! 626: struct type * \
! 627: name##_RB_NEXT(struct type *elm) \
! 628: { \
! 629: if (RB_RIGHT(elm, field)) { \
! 630: elm = RB_RIGHT(elm, field); \
! 631: while (RB_LEFT(elm, field)) \
! 632: elm = RB_LEFT(elm, field); \
! 633: } else { \
! 634: if (RB_PARENT(elm, field) && \
! 635: (elm == RB_LEFT(RB_PARENT(elm, field), field))) \
! 636: elm = RB_PARENT(elm, field); \
! 637: else { \
! 638: while (RB_PARENT(elm, field) && \
! 639: (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
! 640: elm = RB_PARENT(elm, field); \
! 641: elm = RB_PARENT(elm, field); \
! 642: } \
! 643: } \
! 644: return (elm); \
! 645: } \
! 646: \
! 647: struct type * \
! 648: name##_RB_MINMAX(struct name *head, int val) \
! 649: { \
! 650: struct type *tmp = RB_ROOT(head); \
! 651: struct type *parent = NULL; \
! 652: while (tmp) { \
! 653: parent = tmp; \
! 654: if (val < 0) \
! 655: tmp = RB_LEFT(tmp, field); \
! 656: else \
! 657: tmp = RB_RIGHT(tmp, field); \
! 658: } \
! 659: return (parent); \
! 660: }
! 661:
! 662: #define RB_NEGINF -1
! 663: #define RB_INF 1
! 664:
! 665: #define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
! 666: #define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
! 667: #define RB_FIND(name, x, y) name##_RB_FIND(x, y)
! 668: #define RB_NEXT(name, x, y) name##_RB_NEXT(y)
! 669: #define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
! 670: #define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF)
! 671:
! 672: #define RB_FOREACH(x, name, head) \
! 673: for ((x) = RB_MIN(name, head); \
! 674: (x) != NULL; \
! 675: (x) = name##_RB_NEXT(x))
! 676:
! 677: #endif /* _SYS_TREE_H_ */