| 1 | |
| 2 | * lib/btree.c - Simple In-memory B+Tree
|
| 3 | *
|
| 4 | * As should be obvious for Linux kernel code, license is GPLv2
|
| 5 | *
|
| 6 | * Copyright (c) 2007-2008 Joern Engel <[email protected]>
|
| 7 | * Bits and pieces stolen from Peter Zijlstra's code, which is
|
| 8 | * Copyright 2007, Red Hat Inc. Peter Zijlstra <[email protected]>
|
| 9 | * GPLv2
|
| 10 | *
|
| 11 | * see http://programming.kicks-ass.net/kernel-patches/vma_lookup/btree.patch
|
| 12 | *
|
| 13 | * A relatively simple B+Tree implementation. I have written it as a learning
|
| 14 | * exercise to understand how B+Trees work. Turned out to be useful as well.
|
| 15 | *
|
| 16 | * B+Trees can be used similar to Linux radix trees (which don't have anything
|
| 17 | * in common with textbook radix trees, beware). Prerequisite for them working
|
| 18 | * well is that access to a random tree node is much faster than a large number
|
| 19 | * of operations within each node.
|
| 20 | *
|
| 21 | * Disks have fulfilled the prerequisite for a long time. More recently DRAM
|
| 22 | * has gained similar properties, as memory access times, when measured in cpu
|
| 23 | * cycles, have increased. Cacheline sizes have increased as well, which also
|
| 24 | * helps B+Trees.
|
| 25 | *
|
| 26 | * Compared to radix trees, B+Trees are more efficient when dealing with a
|
| 27 | * sparsely populated address space. Between 25% and 50% of the memory is
|
| 28 | * occupied with valid pointers. When densely populated, radix trees contain
|
| 29 | * ~98% pointers - hard to beat. Very sparse radix trees contain only ~2%
|
| 30 | * pointers.
|
| 31 | *
|
| 32 | * This particular implementation stores pointers identified by a long value.
|
| 33 | * Storing NULL pointers is illegal, lookup will return NULL when no entry
|
| 34 | * was found.
|
| 35 | *
|
| 36 | * A tricks was used that is not commonly found in textbooks. The lowest
|
| 37 | * values are to the right, not to the left. All used slots within a node
|
| 38 | * are on the left, all unused slots contain NUL values. Most operations
|
| 39 | * simply loop once over all slots and terminate on the first NUL.
|
| 40 |
|
| 41 |
|
| 42 | #include <linux/btree.h>
|
| 43 | #include <linux/cache.h>
|
| 44 | #include <linux/kernel.h>
|
| 45 | #include <linux/slab.h>
|
| 46 | #include <linux/module.h>
|
| 47 |
|
| 48 | #define MAX(a, b) ((a) > (b) ? (a) : (b))
|
| 49 | #define NODESIZE MAX(L1_CACHE_BYTES, 128)
|
| 50 |
|
| 51 | struct btree_geo {
|
| 52 | int keylen;
|
| 53 | int no_pairs;
|
| 54 | int no_longs;
|
| 55 | };
|
| 56 |
|
| 57 | struct btree_geo btree_geo32 = {
|
| 58 | .keylen = 1,
|
| 59 | .no_pairs = NODESIZE / sizeof(long) / 2,
|
| 60 | .no_longs = NODESIZE / sizeof(long) / 2,
|
| 61 | };
|
| 62 | EXPORT_SYMBOL_GPL(btree_geo32);
|
| 63 |
|
| 64 | #define LONG_PER_U64 (64 / BITS_PER_LONG)
|
| 65 | struct btree_geo btree_geo64 = {
|
| 66 | .keylen = LONG_PER_U64,
|
| 67 | .no_pairs = NODESIZE / sizeof(long) / (1 + LONG_PER_U64),
|
| 68 | .no_longs = LONG_PER_U64 * (NODESIZE / sizeof(long) / (1 + LONG_PER_U64)),
|
| 69 | };
|
| 70 | EXPORT_SYMBOL_GPL(btree_geo64);
|
| 71 |
|
| 72 | struct btree_geo btree_geo128 = {
|
| 73 | .keylen = 2 * LONG_PER_U64,
|
| 74 | .no_pairs = NODESIZE / sizeof(long) / (1 + 2 * LONG_PER_U64),
|
| 75 | .no_longs = 2 * LONG_PER_U64 * (NODESIZE / sizeof(long) / (1 + 2 * LONG_PER_U64)),
|
| 76 | };
|
| 77 | EXPORT_SYMBOL_GPL(btree_geo128);
|
| 78 |
|
| 79 | static struct kmem_cache *btree_cachep;
|
| 80 |
|
| 81 | void *btree_alloc(gfp_t gfp_mask, void *pool_data)
|
| 82 | {
|
| 83 | return kmem_cache_alloc(btree_cachep, gfp_mask);
|
| 84 | }
|
| 85 | EXPORT_SYMBOL_GPL(btree_alloc);
|
| 86 |
|
| 87 | void btree_free(void *element, void *pool_data)
|
| 88 | {
|
| 89 | kmem_cache_free(btree_cachep, element);
|
| 90 | }
|
| 91 | EXPORT_SYMBOL_GPL(btree_free);
|
| 92 |
|
| 93 | static unsigned long *btree_node_alloc(struct btree_head *head, gfp_t gfp)
|
| 94 | {
|
| 95 | unsigned long *node;
|
| 96 |
|
| 97 | node = mempool_alloc(head->mempool, gfp);
|
| 98 | if (likely(node))
|
| 99 | memset(node, 0, NODESIZE);
|
| 100 | return node;
|
| 101 | }
|
| 102 |
|
| 103 | static int longcmp(const unsigned long *l1, const unsigned long *l2, size_t n)
|
| 104 | {
|
| 105 | size_t i;
|
| 106 |
|
| 107 | for (i = 0; i < n; i++) {
|
| 108 | if (l1[i] < l2[i])
|
| 109 | return -1;
|
| 110 | if (l1[i] > l2[i])
|
| 111 | return 1;
|
| 112 | }
|
| 113 | return 0;
|
| 114 | }
|
| 115 |
|
| 116 | static unsigned long *longcpy(unsigned long *dest, const unsigned long *src,
|
| 117 | size_t n)
|
| 118 | {
|
| 119 | size_t i;
|
| 120 |
|
| 121 | for (i = 0; i < n; i++)
|
| 122 | dest[i] = src[i];
|
| 123 | return dest;
|
| 124 | }
|
| 125 |
|
| 126 | static unsigned long *longset(unsigned long *s, unsigned long c, size_t n)
|
| 127 | {
|
| 128 | size_t i;
|
| 129 |
|
| 130 | for (i = 0; i < n; i++)
|
| 131 | s[i] = c;
|
| 132 | return s;
|
| 133 | }
|
| 134 |
|
| 135 | static void dec_key(struct btree_geo *geo, unsigned long *key)
|
| 136 | {
|
| 137 | unsigned long val;
|
| 138 | int i;
|
| 139 |
|
| 140 | for (i = geo->keylen - 1; i >= 0; i--) {
|
| 141 | val = key[i];
|
| 142 | key[i] = val - 1;
|
| 143 | if (val)
|
| 144 | break;
|
| 145 | }
|
| 146 | }
|
| 147 |
|
| 148 | static unsigned long *bkey(struct btree_geo *geo, unsigned long *node, int n)
|
| 149 | {
|
| 150 | return &node[n * geo->keylen];
|
| 151 | }
|
| 152 |
|
| 153 | static void *bval(struct btree_geo *geo, unsigned long *node, int n)
|
| 154 | {
|
| 155 | return (void *)node[geo->no_longs + n];
|
| 156 | }
|
| 157 |
|
| 158 | static void setkey(struct btree_geo *geo, unsigned long *node, int n,
|
| 159 | unsigned long *key)
|
| 160 | {
|
| 161 | longcpy(bkey(geo, node, n), key, geo->keylen);
|
| 162 | }
|
| 163 |
|
| 164 | static void setval(struct btree_geo *geo, unsigned long *node, int n,
|
| 165 | void *val)
|
| 166 | {
|
| 167 | node[geo->no_longs + n] = (unsigned long) val;
|
| 168 | }
|
| 169 |
|
| 170 | static void clearpair(struct btree_geo *geo, unsigned long *node, int n)
|
| 171 | {
|
| 172 | longset(bkey(geo, node, n), 0, geo->keylen);
|
| 173 | node[geo->no_longs + n] = 0;
|
| 174 | }
|
| 175 |
|
| 176 | static inline void __btree_init(struct btree_head *head)
|
| 177 | {
|
| 178 | head->node = NULL;
|
| 179 | head->height = 0;
|
| 180 | }
|
| 181 |
|
| 182 | void btree_init_mempool(struct btree_head *head, mempool_t *mempool)
|
| 183 | {
|
| 184 | __btree_init(head);
|
| 185 | head->mempool = mempool;
|
| 186 | }
|
| 187 | EXPORT_SYMBOL_GPL(btree_init_mempool);
|
| 188 |
|
| 189 | int btree_init(struct btree_head *head)
|
| 190 | {
|
| 191 | __btree_init(head);
|
| 192 | head->mempool = mempool_create(0, btree_alloc, btree_free, NULL);
|
| 193 | if (!head->mempool)
|
| 194 | return -ENOMEM;
|
| 195 | return 0;
|
| 196 | }
|
| 197 | EXPORT_SYMBOL_GPL(btree_init);
|
| 198 |
|
| 199 | void btree_destroy(struct btree_head *head)
|
| 200 | {
|
| 201 | mempool_destroy(head->mempool);
|
| 202 | head->mempool = NULL;
|
| 203 | }
|
| 204 | EXPORT_SYMBOL_GPL(btree_destroy);
|
| 205 |
|
| 206 | void *btree_last(struct btree_head *head, struct btree_geo *geo,
|
| 207 | unsigned long *key)
|
| 208 | {
|
| 209 | int height = head->height;
|
| 210 | unsigned long *node = head->node;
|
| 211 |
|
| 212 | if (height == 0)
|
| 213 | return NULL;
|
| 214 |
|
| 215 | for ( ; height > 1; height--)
|
| 216 | node = bval(geo, node, 0);
|
| 217 |
|
| 218 | longcpy(key, bkey(geo, node, 0), geo->keylen);
|
| 219 | return bval(geo, node, 0);
|
| 220 | }
|
| 221 | EXPORT_SYMBOL_GPL(btree_last);
|
| 222 |
|
| 223 | static int keycmp(struct btree_geo *geo, unsigned long *node, int pos,
|
| 224 | unsigned long *key)
|
| 225 | {
|
| 226 | return longcmp(bkey(geo, node, pos), key, geo->keylen);
|
| 227 | }
|
| 228 |
|
| 229 | static int keyzero(struct btree_geo *geo, unsigned long *key)
|
| 230 | {
|
| 231 | int i;
|
| 232 |
|
| 233 | for (i = 0; i < geo->keylen; i++)
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| 234 | if (key[i])
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| 235 | return 0;
|
| 236 |
|
| 237 | return 1;
|
| 238 | }
|
| 239 |
|
| 240 | void *btree_lookup(struct btree_head *head, struct btree_geo *geo,
|
| 241 | unsigned long *key)
|
| 242 | {
|
| 243 | int i, height = head->height;
|
| 244 | unsigned long *node = head->node;
|
| 245 |
|
| 246 | if (height == 0)
|
| 247 | return NULL;
|
| 248 |
|
| 249 | for ( ; height > 1; height--) {
|
| 250 | for (i = 0; i < geo->no_pairs; i++)
|
| 251 | if (keycmp(geo, node, i, key) <= 0)
|
| 252 | break;
|
| 253 | if (i == geo->no_pairs)
|
| 254 | return NULL;
|
| 255 | node = bval(geo, node, i);
|
| 256 | if (!node)
|
| 257 | return NULL;
|
| 258 | }
|
| 259 |
|
| 260 | if (!node)
|
| 261 | return NULL;
|
| 262 |
|
| 263 | for (i = 0; i < geo->no_pairs; i++)
|
| 264 | if (keycmp(geo, node, i, key) == 0)
|
| 265 | return bval(geo, node, i);
|
| 266 | return NULL;
|
| 267 | }
|
| 268 | EXPORT_SYMBOL_GPL(btree_lookup);
|
| 269 |
|
| 270 | int btree_update(struct btree_head *head, struct btree_geo *geo,
|
| 271 | unsigned long *key, void *val)
|
| 272 | {
|
| 273 | int i, height = head->height;
|
| 274 | unsigned long *node = head->node;
|
| 275 |
|
| 276 | if (height == 0)
|
| 277 | return -ENOENT;
|
| 278 |
|
| 279 | for ( ; height > 1; height--) {
|
| 280 | for (i = 0; i < geo->no_pairs; i++)
|
| 281 | if (keycmp(geo, node, i, key) <= 0)
|
| 282 | break;
|
| 283 | if (i == geo->no_pairs)
|
| 284 | return -ENOENT;
|
| 285 | node = bval(geo, node, i);
|
| 286 | if (!node)
|
| 287 | return -ENOENT;
|
| 288 | }
|
| 289 |
|
| 290 | if (!node)
|
| 291 | return -ENOENT;
|
| 292 |
|
| 293 | for (i = 0; i < geo->no_pairs; i++)
|
| 294 | if (keycmp(geo, node, i, key) == 0) {
|
| 295 | setval(geo, node, i, val);
|
| 296 | return 0;
|
| 297 | }
|
| 298 | return -ENOENT;
|
| 299 | }
|
| 300 | EXPORT_SYMBOL_GPL(btree_update);
|
| 301 |
|
| 302 | |
| 303 | * Usually this function is quite similar to normal lookup. But the key of
|
| 304 | * a parent node may be smaller than the smallest key of all its siblings.
|
| 305 | * In such a case we cannot just return NULL, as we have only proven that no
|
| 306 | * key smaller than __key, but larger than this parent key exists.
|
| 307 | * So we set __key to the parent key and retry. We have to use the smallest
|
| 308 | * such parent key, which is the last parent key we encountered.
|
| 309 |
|
| 310 | void *btree_get_prev(struct btree_head *head, struct btree_geo *geo,
|
| 311 | unsigned long *__key)
|
| 312 | {
|
| 313 | int i, height;
|
| 314 | unsigned long *node, *oldnode;
|
| 315 | unsigned long *retry_key = NULL, key[geo->keylen];
|
| 316 |
|
| 317 | if (keyzero(geo, __key))
|
| 318 | return NULL;
|
| 319 |
|
| 320 | if (head->height == 0)
|
| 321 | return NULL;
|
| 322 | longcpy(key, __key, geo->keylen);
|
| 323 | retry:
|
| 324 | dec_key(geo, key);
|
| 325 |
|
| 326 | node = head->node;
|
| 327 | for (height = head->height ; height > 1; height--) {
|
| 328 | for (i = 0; i < geo->no_pairs; i++)
|
| 329 | if (keycmp(geo, node, i, key) <= 0)
|
| 330 | break;
|
| 331 | if (i == geo->no_pairs)
|
| 332 | goto miss;
|
| 333 | oldnode = node;
|
| 334 | node = bval(geo, node, i);
|
| 335 | if (!node)
|
| 336 | goto miss;
|
| 337 | retry_key = bkey(geo, oldnode, i);
|
| 338 | }
|
| 339 |
|
| 340 | if (!node)
|
| 341 | goto miss;
|
| 342 |
|
| 343 | for (i = 0; i < geo->no_pairs; i++) {
|
| 344 | if (keycmp(geo, node, i, key) <= 0) {
|
| 345 | if (bval(geo, node, i)) {
|
| 346 | longcpy(__key, bkey(geo, node, i), geo->keylen);
|
| 347 | return bval(geo, node, i);
|
| 348 | } else
|
| 349 | goto miss;
|
| 350 | }
|
| 351 | }
|
| 352 | miss:
|
| 353 | if (retry_key) {
|
| 354 | longcpy(key, retry_key, geo->keylen);
|
| 355 | retry_key = NULL;
|
| 356 | goto retry;
|
| 357 | }
|
| 358 | return NULL;
|
| 359 | }
|
| 360 | EXPORT_SYMBOL_GPL(btree_get_prev);
|
| 361 |
|
| 362 | static int getpos(struct btree_geo *geo, unsigned long *node,
|
| 363 | unsigned long *key)
|
| 364 | {
|
| 365 | int i;
|
| 366 |
|
| 367 | for (i = 0; i < geo->no_pairs; i++) {
|
| 368 | if (keycmp(geo, node, i, key) <= 0)
|
| 369 | break;
|
| 370 | }
|
| 371 | return i;
|
| 372 | }
|
| 373 |
|
| 374 | static int getfill(struct btree_geo *geo, unsigned long *node, int start)
|
| 375 | {
|
| 376 | int i;
|
| 377 |
|
| 378 | for (i = start; i < geo->no_pairs; i++)
|
| 379 | if (!bval(geo, node, i))
|
| 380 | break;
|
| 381 | return i;
|
| 382 | }
|
| 383 |
|
| 384 | |
| 385 | * locate the correct leaf node in the btree
|
| 386 |
|
| 387 | static unsigned long *find_level(struct btree_head *head, struct btree_geo *geo,
|
| 388 | unsigned long *key, int level)
|
| 389 | {
|
| 390 | unsigned long *node = head->node;
|
| 391 | int i, height;
|
| 392 |
|
| 393 | for (height = head->height; height > level; height--) {
|
| 394 | for (i = 0; i < geo->no_pairs; i++)
|
| 395 | if (keycmp(geo, node, i, key) <= 0)
|
| 396 | break;
|
| 397 |
|
| 398 | if ((i == geo->no_pairs) || !bval(geo, node, i)) {
|
| 399 |
|
| 400 | |
| 401 | * always zero, this wouldn't be necessary.
|
| 402 | i--;
|
| 403 | setkey(geo, node, i, key);
|
| 404 | }
|
| 405 | BUG_ON(i < 0);
|
| 406 | node = bval(geo, node, i);
|
| 407 | }
|
| 408 | BUG_ON(!node);
|
| 409 | return node;
|
| 410 | }
|
| 411 |
|
| 412 | static int btree_grow(struct btree_head *head, struct btree_geo *geo,
|
| 413 | gfp_t gfp)
|
| 414 | {
|
| 415 | unsigned long *node;
|
| 416 | int fill;
|
| 417 |
|
| 418 | node = btree_node_alloc(head, gfp);
|
| 419 | if (!node)
|
| 420 | return -ENOMEM;
|
| 421 | if (head->node) {
|
| 422 | fill = getfill(geo, head->node, 0);
|
| 423 | setkey(geo, node, 0, bkey(geo, head->node, fill - 1));
|
| 424 | setval(geo, node, 0, head->node);
|
| 425 | }
|
| 426 | head->node = node;
|
| 427 | head->height++;
|
| 428 | return 0;
|
| 429 | }
|
| 430 |
|
| 431 | static void btree_shrink(struct btree_head *head, struct btree_geo *geo)
|
| 432 | {
|
| 433 | unsigned long *node;
|
| 434 | int fill;
|
| 435 |
|
| 436 | if (head->height <= 1)
|
| 437 | return;
|
| 438 |
|
| 439 | node = head->node;
|
| 440 | fill = getfill(geo, node, 0);
|
| 441 | BUG_ON(fill > 1);
|
| 442 | head->node = bval(geo, node, 0);
|
| 443 | head->height--;
|
| 444 | mempool_free(node, head->mempool);
|
| 445 | }
|
| 446 |
|
| 447 | static int btree_insert_level(struct btree_head *head, struct btree_geo *geo,
|
| 448 | unsigned long *key, void *val, int level,
|
| 449 | gfp_t gfp)
|
| 450 | {
|
| 451 | unsigned long *node;
|
| 452 | int i, pos, fill, err;
|
| 453 |
|
| 454 | BUG_ON(!val);
|
| 455 | if (head->height < level) {
|
| 456 | err = btree_grow(head, geo, gfp);
|
| 457 | if (err)
|
| 458 | return err;
|
| 459 | }
|
| 460 |
|
| 461 | retry:
|
| 462 | node = find_level(head, geo, key, level);
|
| 463 | pos = getpos(geo, node, key);
|
| 464 | fill = getfill(geo, node, pos);
|
| 465 |
|
| 466 | BUG_ON(pos < fill && keycmp(geo, node, pos, key) == 0);
|
| 467 |
|
| 468 | if (fill == geo->no_pairs) {
|
| 469 |
|
| 470 | unsigned long *new;
|
| 471 |
|
| 472 | new = btree_node_alloc(head, gfp);
|
| 473 | if (!new)
|
| 474 | return -ENOMEM;
|
| 475 | err = btree_insert_level(head, geo,
|
| 476 | bkey(geo, node, fill / 2 - 1),
|
| 477 | new, level + 1, gfp);
|
| 478 | if (err) {
|
| 479 | mempool_free(new, head->mempool);
|
| 480 | return err;
|
| 481 | }
|
| 482 | for (i = 0; i < fill / 2; i++) {
|
| 483 | setkey(geo, new, i, bkey(geo, node, i));
|
| 484 | setval(geo, new, i, bval(geo, node, i));
|
| 485 | setkey(geo, node, i, bkey(geo, node, i + fill / 2));
|
| 486 | setval(geo, node, i, bval(geo, node, i + fill / 2));
|
| 487 | clearpair(geo, node, i + fill / 2);
|
| 488 | }
|
| 489 | if (fill & 1) {
|
| 490 | setkey(geo, node, i, bkey(geo, node, fill - 1));
|
| 491 | setval(geo, node, i, bval(geo, node, fill - 1));
|
| 492 | clearpair(geo, node, fill - 1);
|
| 493 | }
|
| 494 | goto retry;
|
| 495 | }
|
| 496 | BUG_ON(fill >= geo->no_pairs);
|
| 497 |
|
| 498 |
|
| 499 | for (i = fill; i > pos; i--) {
|
| 500 | setkey(geo, node, i, bkey(geo, node, i - 1));
|
| 501 | setval(geo, node, i, bval(geo, node, i - 1));
|
| 502 | }
|
| 503 | setkey(geo, node, pos, key);
|
| 504 | setval(geo, node, pos, val);
|
| 505 |
|
| 506 | return 0;
|
| 507 | }
|
| 508 |
|
| 509 | int btree_insert(struct btree_head *head, struct btree_geo *geo,
|
| 510 | unsigned long *key, void *val, gfp_t gfp)
|
| 511 | {
|
| 512 | BUG_ON(!val);
|
| 513 | return btree_insert_level(head, geo, key, val, 1, gfp);
|
| 514 | }
|
| 515 | EXPORT_SYMBOL_GPL(btree_insert);
|
| 516 |
|
| 517 | static void *btree_remove_level(struct btree_head *head, struct btree_geo *geo,
|
| 518 | unsigned long *key, int level);
|
| 519 | static void merge(struct btree_head *head, struct btree_geo *geo, int level,
|
| 520 | unsigned long *left, int lfill,
|
| 521 | unsigned long *right, int rfill,
|
| 522 | unsigned long *parent, int lpos)
|
| 523 | {
|
| 524 | int i;
|
| 525 |
|
| 526 | for (i = 0; i < rfill; i++) {
|
| 527 |
|
| 528 | setkey(geo, left, lfill + i, bkey(geo, right, i));
|
| 529 | setval(geo, left, lfill + i, bval(geo, right, i));
|
| 530 | }
|
| 531 |
|
| 532 | setval(geo, parent, lpos, right);
|
| 533 | setval(geo, parent, lpos + 1, left);
|
| 534 |
|
| 535 | btree_remove_level(head, geo, bkey(geo, parent, lpos), level + 1);
|
| 536 | mempool_free(right, head->mempool);
|
| 537 | }
|
| 538 |
|
| 539 | static void rebalance(struct btree_head *head, struct btree_geo *geo,
|
| 540 | unsigned long *key, int level, unsigned long *child, int fill)
|
| 541 | {
|
| 542 | unsigned long *parent, *left = NULL, *right = NULL;
|
| 543 | int i, no_left, no_right;
|
| 544 |
|
| 545 | if (fill == 0) {
|
| 546 | |
| 547 | * can happen. Parent node contains a single child, this
|
| 548 | * node, so merging with a sibling never happens.
|
| 549 |
|
| 550 | btree_remove_level(head, geo, key, level + 1);
|
| 551 | mempool_free(child, head->mempool);
|
| 552 | return;
|
| 553 | }
|
| 554 |
|
| 555 | parent = find_level(head, geo, key, level + 1);
|
| 556 | i = getpos(geo, parent, key);
|
| 557 | BUG_ON(bval(geo, parent, i) != child);
|
| 558 |
|
| 559 | if (i > 0) {
|
| 560 | left = bval(geo, parent, i - 1);
|
| 561 | no_left = getfill(geo, left, 0);
|
| 562 | if (fill + no_left <= geo->no_pairs) {
|
| 563 | merge(head, geo, level,
|
| 564 | left, no_left,
|
| 565 | child, fill,
|
| 566 | parent, i - 1);
|
| 567 | return;
|
| 568 | }
|
| 569 | }
|
| 570 | if (i + 1 < getfill(geo, parent, i)) {
|
| 571 | right = bval(geo, parent, i + 1);
|
| 572 | no_right = getfill(geo, right, 0);
|
| 573 | if (fill + no_right <= geo->no_pairs) {
|
| 574 | merge(head, geo, level,
|
| 575 | child, fill,
|
| 576 | right, no_right,
|
| 577 | parent, i);
|
| 578 | return;
|
| 579 | }
|
| 580 | }
|
| 581 | |
| 582 | * We could also try to steal one entry from the left or right
|
| 583 | * neighbor. By not doing so we changed the invariant from
|
| 584 | * "all nodes are at least half full" to "no two neighboring
|
| 585 | * nodes can be merged". Which means that the average fill of
|
| 586 | * all nodes is still half or better.
|
| 587 |
|
| 588 | }
|
| 589 |
|
| 590 | static void *btree_remove_level(struct btree_head *head, struct btree_geo *geo,
|
| 591 | unsigned long *key, int level)
|
| 592 | {
|
| 593 | unsigned long *node;
|
| 594 | int i, pos, fill;
|
| 595 | void *ret;
|
| 596 |
|
| 597 | if (level > head->height) {
|
| 598 |
|
| 599 | head->height = 0;
|
| 600 | head->node = NULL;
|
| 601 | return NULL;
|
| 602 | }
|
| 603 |
|
| 604 | node = find_level(head, geo, key, level);
|
| 605 | pos = getpos(geo, node, key);
|
| 606 | fill = getfill(geo, node, pos);
|
| 607 | if ((level == 1) && (keycmp(geo, node, pos, key) != 0))
|
| 608 | return NULL;
|
| 609 | ret = bval(geo, node, pos);
|
| 610 |
|
| 611 |
|
| 612 | for (i = pos; i < fill - 1; i++) {
|
| 613 | setkey(geo, node, i, bkey(geo, node, i + 1));
|
| 614 | setval(geo, node, i, bval(geo, node, i + 1));
|
| 615 | }
|
| 616 | clearpair(geo, node, fill - 1);
|
| 617 |
|
| 618 | if (fill - 1 < geo->no_pairs / 2) {
|
| 619 | if (level < head->height)
|
| 620 | rebalance(head, geo, key, level, node, fill - 1);
|
| 621 | else if (fill - 1 == 1)
|
| 622 | btree_shrink(head, geo);
|
| 623 | }
|
| 624 |
|
| 625 | return ret;
|
| 626 | }
|
| 627 |
|
| 628 | void *btree_remove(struct btree_head *head, struct btree_geo *geo,
|
| 629 | unsigned long *key)
|
| 630 | {
|
| 631 | if (head->height == 0)
|
| 632 | return NULL;
|
| 633 |
|
| 634 | return btree_remove_level(head, geo, key, 1);
|
| 635 | }
|
| 636 | EXPORT_SYMBOL_GPL(btree_remove);
|
| 637 |
|
| 638 | int btree_merge(struct btree_head *target, struct btree_head *victim,
|
| 639 | struct btree_geo *geo, gfp_t gfp)
|
| 640 | {
|
| 641 | unsigned long key[geo->keylen];
|
| 642 | unsigned long dup[geo->keylen];
|
| 643 | void *val;
|
| 644 | int err;
|
| 645 |
|
| 646 | BUG_ON(target == victim);
|
| 647 |
|
| 648 | if (!(target->node)) {
|
| 649 |
|
| 650 | target->node = victim->node;
|
| 651 | target->height = victim->height;
|
| 652 | __btree_init(victim);
|
| 653 | return 0;
|
| 654 | }
|
| 655 |
|
| 656 | |
| 657 | * walks to remove a single object from the victim.
|
| 658 |
|
| 659 | for (;;) {
|
| 660 | if (!btree_last(victim, geo, key))
|
| 661 | break;
|
| 662 | val = btree_lookup(victim, geo, key);
|
| 663 | err = btree_insert(target, geo, key, val, gfp);
|
| 664 | if (err)
|
| 665 | return err;
|
| 666 | |
| 667 | * mangled inside btree_remove.
|
| 668 | longcpy(dup, key, geo->keylen);
|
| 669 | btree_remove(victim, geo, dup);
|
| 670 | }
|
| 671 | return 0;
|
| 672 | }
|
| 673 | EXPORT_SYMBOL_GPL(btree_merge);
|
| 674 |
|
| 675 | static size_t __btree_for_each(struct btree_head *head, struct btree_geo *geo,
|
| 676 | unsigned long *node, unsigned long opaque,
|
| 677 | void (*func)(void *elem, unsigned long opaque,
|
| 678 | unsigned long *key, size_t index,
|
| 679 | void *func2),
|
| 680 | void *func2, int reap, int height, size_t count)
|
| 681 | {
|
| 682 | int i;
|
| 683 | unsigned long *child;
|
| 684 |
|
| 685 | for (i = 0; i < geo->no_pairs; i++) {
|
| 686 | child = bval(geo, node, i);
|
| 687 | if (!child)
|
| 688 | break;
|
| 689 | if (height > 1)
|
| 690 | count = __btree_for_each(head, geo, child, opaque,
|
| 691 | func, func2, reap, height - 1, count);
|
| 692 | else
|
| 693 | func(child, opaque, bkey(geo, node, i), count++,
|
| 694 | func2);
|
| 695 | }
|
| 696 | if (reap)
|
| 697 | mempool_free(node, head->mempool);
|
| 698 | return count;
|
| 699 | }
|
| 700 |
|
| 701 | static void empty(void *elem, unsigned long opaque, unsigned long *key,
|
| 702 | size_t index, void *func2)
|
| 703 | {
|
| 704 | }
|
| 705 |
|
| 706 | void visitorl(void *elem, unsigned long opaque, unsigned long *key,
|
| 707 | size_t index, void *__func)
|
| 708 | {
|
| 709 | visitorl_t func = __func;
|
| 710 |
|
| 711 | func(elem, opaque, *key, index);
|
| 712 | }
|
| 713 | EXPORT_SYMBOL_GPL(visitorl);
|
| 714 |
|
| 715 | void visitor32(void *elem, unsigned long opaque, unsigned long *__key,
|
| 716 | size_t index, void *__func)
|
| 717 | {
|
| 718 | visitor32_t func = __func;
|
| 719 | u32 *key = (void *)__key;
|
| 720 |
|
| 721 | func(elem, opaque, *key, index);
|
| 722 | }
|
| 723 | EXPORT_SYMBOL_GPL(visitor32);
|
| 724 |
|
| 725 | void visitor64(void *elem, unsigned long opaque, unsigned long *__key,
|
| 726 | size_t index, void *__func)
|
| 727 | {
|
| 728 | visitor64_t func = __func;
|
| 729 | u64 *key = (void *)__key;
|
| 730 |
|
| 731 | func(elem, opaque, *key, index);
|
| 732 | }
|
| 733 | EXPORT_SYMBOL_GPL(visitor64);
|
| 734 |
|
| 735 | void visitor128(void *elem, unsigned long opaque, unsigned long *__key,
|
| 736 | size_t index, void *__func)
|
| 737 | {
|
| 738 | visitor128_t func = __func;
|
| 739 | u64 *key = (void *)__key;
|
| 740 |
|
| 741 | func(elem, opaque, key[0], key[1], index);
|
| 742 | }
|
| 743 | EXPORT_SYMBOL_GPL(visitor128);
|
| 744 |
|
| 745 | size_t btree_visitor(struct btree_head *head, struct btree_geo *geo,
|
| 746 | unsigned long opaque,
|
| 747 | void (*func)(void *elem, unsigned long opaque,
|
| 748 | unsigned long *key,
|
| 749 | size_t index, void *func2),
|
| 750 | void *func2)
|
| 751 | {
|
| 752 | size_t count = 0;
|
| 753 |
|
| 754 | if (!func2)
|
| 755 | func = empty;
|
| 756 | if (head->node)
|
| 757 | count = __btree_for_each(head, geo, head->node, opaque, func,
|
| 758 | func2, 0, head->height, 0);
|
| 759 | return count;
|
| 760 | }
|
| 761 | EXPORT_SYMBOL_GPL(btree_visitor);
|
| 762 |
|
| 763 | size_t btree_grim_visitor(struct btree_head *head, struct btree_geo *geo,
|
| 764 | unsigned long opaque,
|
| 765 | void (*func)(void *elem, unsigned long opaque,
|
| 766 | unsigned long *key,
|
| 767 | size_t index, void *func2),
|
| 768 | void *func2)
|
| 769 | {
|
| 770 | size_t count = 0;
|
| 771 |
|
| 772 | if (!func2)
|
| 773 | func = empty;
|
| 774 | if (head->node)
|
| 775 | count = __btree_for_each(head, geo, head->node, opaque, func,
|
| 776 | func2, 1, head->height, 0);
|
| 777 | __btree_init(head);
|
| 778 | return count;
|
| 779 | }
|
| 780 | EXPORT_SYMBOL_GPL(btree_grim_visitor);
|
| 781 |
|
| 782 | static int __init btree_module_init(void)
|
| 783 | {
|
| 784 | btree_cachep = kmem_cache_create("btree_node", NODESIZE, 0,
|
| 785 | SLAB_HWCACHE_ALIGN, NULL);
|
| 786 | return 0;
|
| 787 | }
|
| 788 |
|
| 789 | static void __exit btree_module_exit(void)
|
| 790 | {
|
| 791 | kmem_cache_destroy(btree_cachep);
|
| 792 | }
|
| 793 |
|
| 794 |
|
| 795 | module_init(btree_module_init);
|
| 796 | module_exit(btree_module_exit);
|
| 797 |
|
| 798 | MODULE_AUTHOR("Joern Engel <[email protected]>");
|
| 799 | MODULE_AUTHOR("Johannes Berg <[email protected]>");
|
| 800 | MODULE_LICENSE("GPL");
|