xref: /freebsd/sys/kern/subr_pctrie.c (revision 8e9b3e707151d136ec95e7f1d37556e39c1e228c)
1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
3  *
4  * Copyright (c) 2013 EMC Corp.
5  * Copyright (c) 2011 Jeffrey Roberson <jeff@freebsd.org>
6  * Copyright (c) 2008 Mayur Shardul <mayur.shardul@gmail.com>
7  * All rights reserved.
8  *
9  * Redistribution and use in source and binary forms, with or without
10  * modification, are permitted provided that the following conditions
11  * are met:
12  * 1. Redistributions of source code must retain the above copyright
13  *    notice, this list of conditions and the following disclaimer.
14  * 2. Redistributions in binary form must reproduce the above copyright
15  *    notice, this list of conditions and the following disclaimer in the
16  *    documentation and/or other materials provided with the distribution.
17  *
18  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
19  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
20  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
21  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
22  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
23  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
24  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
25  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
26  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
27  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
28  * SUCH DAMAGE.
29  *
30  */
31 
32 /*
33  * Path-compressed radix trie implementation.
34  *
35  * The implementation takes into account the following rationale:
36  * - Size of the nodes should be as small as possible but still big enough
37  *   to avoid a large maximum depth for the trie.  This is a balance
38  *   between the necessity to not wire too much physical memory for the nodes
39  *   and the necessity to avoid too much cache pollution during the trie
40  *   operations.
41  * - There is not a huge bias toward the number of lookup operations over
42  *   the number of insert and remove operations.  This basically implies
43  *   that optimizations supposedly helping one operation but hurting the
44  *   other might be carefully evaluated.
45  * - On average not many nodes are expected to be fully populated, hence
46  *   level compression may just complicate things.
47  */
48 
49 #include <sys/cdefs.h>
50 __FBSDID("$FreeBSD$");
51 
52 #include "opt_ddb.h"
53 
54 #include <sys/param.h>
55 #include <sys/systm.h>
56 #include <sys/kernel.h>
57 #include <sys/pctrie.h>
58 
59 #ifdef DDB
60 #include <ddb/ddb.h>
61 #endif
62 
63 #define	PCTRIE_MASK	(PCTRIE_COUNT - 1)
64 #define	PCTRIE_LIMIT	(howmany(sizeof(uint64_t) * NBBY, PCTRIE_WIDTH) - 1)
65 
66 /* Flag bits stored in node pointers. */
67 #define	PCTRIE_ISLEAF	0x1
68 #define	PCTRIE_FLAGS	0x1
69 #define	PCTRIE_PAD	PCTRIE_FLAGS
70 
71 /* Returns one unit associated with specified level. */
72 #define	PCTRIE_UNITLEVEL(lev)						\
73 	((uint64_t)1 << ((lev) * PCTRIE_WIDTH))
74 
75 struct pctrie_node {
76 	uint64_t	 pn_owner;			/* Owner of record. */
77 	uint16_t	 pn_count;			/* Valid children. */
78 	uint16_t	 pn_clev;			/* Current level. */
79 	void		*pn_child[PCTRIE_COUNT];	/* Child nodes. */
80 };
81 
82 /*
83  * Allocate a node.  Pre-allocation should ensure that the request
84  * will always be satisfied.
85  */
86 static __inline struct pctrie_node *
87 pctrie_node_get(struct pctrie *ptree, pctrie_alloc_t allocfn, uint64_t owner,
88     uint16_t count, uint16_t clevel)
89 {
90 	struct pctrie_node *node;
91 
92 	node = allocfn(ptree);
93 	if (node == NULL)
94 		return (NULL);
95 	node->pn_owner = owner;
96 	node->pn_count = count;
97 	node->pn_clev = clevel;
98 
99 	return (node);
100 }
101 
102 /*
103  * Free radix node.
104  */
105 static __inline void
106 pctrie_node_put(struct pctrie *ptree, struct pctrie_node *node,
107     pctrie_free_t freefn)
108 {
109 #ifdef INVARIANTS
110 	int slot;
111 
112 	KASSERT(node->pn_count == 0,
113 	    ("pctrie_node_put: node %p has %d children", node,
114 	    node->pn_count));
115 	for (slot = 0; slot < PCTRIE_COUNT; slot++)
116 		KASSERT(node->pn_child[slot] == NULL,
117 		    ("pctrie_node_put: node %p has a child", node));
118 #endif
119 	freefn(ptree, node);
120 }
121 
122 /*
123  * Return the position in the array for a given level.
124  */
125 static __inline int
126 pctrie_slot(uint64_t index, uint16_t level)
127 {
128 
129 	return ((index >> (level * PCTRIE_WIDTH)) & PCTRIE_MASK);
130 }
131 
132 /* Trims the key after the specified level. */
133 static __inline uint64_t
134 pctrie_trimkey(uint64_t index, uint16_t level)
135 {
136 	uint64_t ret;
137 
138 	ret = index;
139 	if (level > 0) {
140 		ret >>= level * PCTRIE_WIDTH;
141 		ret <<= level * PCTRIE_WIDTH;
142 	}
143 	return (ret);
144 }
145 
146 /*
147  * Get the root node for a tree.
148  */
149 static __inline struct pctrie_node *
150 pctrie_getroot(struct pctrie *ptree)
151 {
152 
153 	return ((struct pctrie_node *)ptree->pt_root);
154 }
155 
156 /*
157  * Set the root node for a tree.
158  */
159 static __inline void
160 pctrie_setroot(struct pctrie *ptree, struct pctrie_node *node)
161 {
162 
163 	ptree->pt_root = (uintptr_t)node;
164 }
165 
166 /*
167  * Returns TRUE if the specified node is a leaf and FALSE otherwise.
168  */
169 static __inline boolean_t
170 pctrie_isleaf(struct pctrie_node *node)
171 {
172 
173 	return (((uintptr_t)node & PCTRIE_ISLEAF) != 0);
174 }
175 
176 /*
177  * Returns the associated val extracted from node.
178  */
179 static __inline uint64_t *
180 pctrie_toval(struct pctrie_node *node)
181 {
182 
183 	return ((uint64_t *)((uintptr_t)node & ~PCTRIE_FLAGS));
184 }
185 
186 /*
187  * Adds the val as a child of the provided node.
188  */
189 static __inline void
190 pctrie_addval(struct pctrie_node *node, uint64_t index, uint16_t clev,
191     uint64_t *val)
192 {
193 	int slot;
194 
195 	slot = pctrie_slot(index, clev);
196 	node->pn_child[slot] = (void *)((uintptr_t)val | PCTRIE_ISLEAF);
197 }
198 
199 /*
200  * Returns the slot where two keys differ.
201  * It cannot accept 2 equal keys.
202  */
203 static __inline uint16_t
204 pctrie_keydiff(uint64_t index1, uint64_t index2)
205 {
206 	uint16_t clev;
207 
208 	KASSERT(index1 != index2, ("%s: passing the same key value %jx",
209 	    __func__, (uintmax_t)index1));
210 
211 	index1 ^= index2;
212 	for (clev = PCTRIE_LIMIT;; clev--)
213 		if (pctrie_slot(index1, clev) != 0)
214 			return (clev);
215 }
216 
217 /*
218  * Returns TRUE if it can be determined that key does not belong to the
219  * specified node.  Otherwise, returns FALSE.
220  */
221 static __inline boolean_t
222 pctrie_keybarr(struct pctrie_node *node, uint64_t idx)
223 {
224 
225 	if (node->pn_clev < PCTRIE_LIMIT) {
226 		idx = pctrie_trimkey(idx, node->pn_clev + 1);
227 		return (idx != node->pn_owner);
228 	}
229 	return (FALSE);
230 }
231 
232 /*
233  * Internal helper for pctrie_reclaim_allnodes().
234  * This function is recursive.
235  */
236 static void
237 pctrie_reclaim_allnodes_int(struct pctrie *ptree, struct pctrie_node *node,
238     pctrie_free_t freefn)
239 {
240 	int slot;
241 
242 	KASSERT(node->pn_count <= PCTRIE_COUNT,
243 	    ("pctrie_reclaim_allnodes_int: bad count in node %p", node));
244 	for (slot = 0; node->pn_count != 0; slot++) {
245 		if (node->pn_child[slot] == NULL)
246 			continue;
247 		if (!pctrie_isleaf(node->pn_child[slot]))
248 			pctrie_reclaim_allnodes_int(ptree,
249 			    node->pn_child[slot], freefn);
250 		node->pn_child[slot] = NULL;
251 		node->pn_count--;
252 	}
253 	pctrie_node_put(ptree, node, freefn);
254 }
255 
256 /*
257  * pctrie node zone initializer.
258  */
259 int
260 pctrie_zone_init(void *mem, int size __unused, int flags __unused)
261 {
262 	struct pctrie_node *node;
263 
264 	node = mem;
265 	memset(node->pn_child, 0, sizeof(node->pn_child));
266 	return (0);
267 }
268 
269 size_t
270 pctrie_node_size(void)
271 {
272 
273 	return (sizeof(struct pctrie_node));
274 }
275 
276 /*
277  * Inserts the key-value pair into the trie.
278  * Panics if the key already exists.
279  */
280 int
281 pctrie_insert(struct pctrie *ptree, uint64_t *val, pctrie_alloc_t allocfn)
282 {
283 	uint64_t index, newind;
284 	void **parentp;
285 	struct pctrie_node *node, *tmp;
286 	uint64_t *m;
287 	int slot;
288 	uint16_t clev;
289 
290 	index = *val;
291 
292 	/*
293 	 * The owner of record for root is not really important because it
294 	 * will never be used.
295 	 */
296 	node = pctrie_getroot(ptree);
297 	if (node == NULL) {
298 		ptree->pt_root = (uintptr_t)val | PCTRIE_ISLEAF;
299 		return (0);
300 	}
301 	parentp = (void **)&ptree->pt_root;
302 	for (;;) {
303 		if (pctrie_isleaf(node)) {
304 			m = pctrie_toval(node);
305 			if (*m == index)
306 				panic("%s: key %jx is already present",
307 				    __func__, (uintmax_t)index);
308 			clev = pctrie_keydiff(*m, index);
309 			tmp = pctrie_node_get(ptree, allocfn,
310 			    pctrie_trimkey(index, clev + 1), 2, clev);
311 			if (tmp == NULL)
312 				return (ENOMEM);
313 			*parentp = tmp;
314 			pctrie_addval(tmp, index, clev, val);
315 			pctrie_addval(tmp, *m, clev, m);
316 			return (0);
317 		} else if (pctrie_keybarr(node, index))
318 			break;
319 		slot = pctrie_slot(index, node->pn_clev);
320 		if (node->pn_child[slot] == NULL) {
321 			node->pn_count++;
322 			pctrie_addval(node, index, node->pn_clev, val);
323 			return (0);
324 		}
325 		parentp = &node->pn_child[slot];
326 		node = node->pn_child[slot];
327 	}
328 
329 	/*
330 	 * A new node is needed because the right insertion level is reached.
331 	 * Setup the new intermediate node and add the 2 children: the
332 	 * new object and the older edge.
333 	 */
334 	newind = node->pn_owner;
335 	clev = pctrie_keydiff(newind, index);
336 	tmp = pctrie_node_get(ptree, allocfn,
337 	    pctrie_trimkey(index, clev + 1), 2, clev);
338 	if (tmp == NULL)
339 		return (ENOMEM);
340 	*parentp = tmp;
341 	pctrie_addval(tmp, index, clev, val);
342 	slot = pctrie_slot(newind, clev);
343 	tmp->pn_child[slot] = node;
344 
345 	return (0);
346 }
347 
348 /*
349  * Returns the value stored at the index.  If the index is not present,
350  * NULL is returned.
351  */
352 uint64_t *
353 pctrie_lookup(struct pctrie *ptree, uint64_t index)
354 {
355 	struct pctrie_node *node;
356 	uint64_t *m;
357 	int slot;
358 
359 	node = pctrie_getroot(ptree);
360 	while (node != NULL) {
361 		if (pctrie_isleaf(node)) {
362 			m = pctrie_toval(node);
363 			if (*m == index)
364 				return (m);
365 			else
366 				break;
367 		} else if (pctrie_keybarr(node, index))
368 			break;
369 		slot = pctrie_slot(index, node->pn_clev);
370 		node = node->pn_child[slot];
371 	}
372 	return (NULL);
373 }
374 
375 /*
376  * Look up the nearest entry at a position bigger than or equal to index.
377  */
378 uint64_t *
379 pctrie_lookup_ge(struct pctrie *ptree, uint64_t index)
380 {
381 	struct pctrie_node *stack[PCTRIE_LIMIT];
382 	uint64_t inc;
383 	uint64_t *m;
384 	struct pctrie_node *child, *node;
385 #ifdef INVARIANTS
386 	int loops = 0;
387 #endif
388 	int slot, tos;
389 
390 	node = pctrie_getroot(ptree);
391 	if (node == NULL)
392 		return (NULL);
393 	else if (pctrie_isleaf(node)) {
394 		m = pctrie_toval(node);
395 		if (*m >= index)
396 			return (m);
397 		else
398 			return (NULL);
399 	}
400 	tos = 0;
401 	for (;;) {
402 		/*
403 		 * If the keys differ before the current bisection node,
404 		 * then the search key might rollback to the earliest
405 		 * available bisection node or to the smallest key
406 		 * in the current node (if the owner is bigger than the
407 		 * search key).
408 		 */
409 		if (pctrie_keybarr(node, index)) {
410 			if (index > node->pn_owner) {
411 ascend:
412 				KASSERT(++loops < 1000,
413 				    ("pctrie_lookup_ge: too many loops"));
414 
415 				/*
416 				 * Pop nodes from the stack until either the
417 				 * stack is empty or a node that could have a
418 				 * matching descendant is found.
419 				 */
420 				do {
421 					if (tos == 0)
422 						return (NULL);
423 					node = stack[--tos];
424 				} while (pctrie_slot(index,
425 				    node->pn_clev) == (PCTRIE_COUNT - 1));
426 
427 				/*
428 				 * The following computation cannot overflow
429 				 * because index's slot at the current level
430 				 * is less than PCTRIE_COUNT - 1.
431 				 */
432 				index = pctrie_trimkey(index,
433 				    node->pn_clev);
434 				index += PCTRIE_UNITLEVEL(node->pn_clev);
435 			} else
436 				index = node->pn_owner;
437 			KASSERT(!pctrie_keybarr(node, index),
438 			    ("pctrie_lookup_ge: keybarr failed"));
439 		}
440 		slot = pctrie_slot(index, node->pn_clev);
441 		child = node->pn_child[slot];
442 		if (pctrie_isleaf(child)) {
443 			m = pctrie_toval(child);
444 			if (*m >= index)
445 				return (m);
446 		} else if (child != NULL)
447 			goto descend;
448 
449 		/*
450 		 * Look for an available edge or val within the current
451 		 * bisection node.
452 		 */
453                 if (slot < (PCTRIE_COUNT - 1)) {
454 			inc = PCTRIE_UNITLEVEL(node->pn_clev);
455 			index = pctrie_trimkey(index, node->pn_clev);
456 			do {
457 				index += inc;
458 				slot++;
459 				child = node->pn_child[slot];
460 				if (pctrie_isleaf(child)) {
461 					m = pctrie_toval(child);
462 					if (*m >= index)
463 						return (m);
464 				} else if (child != NULL)
465 					goto descend;
466 			} while (slot < (PCTRIE_COUNT - 1));
467 		}
468 		KASSERT(child == NULL || pctrie_isleaf(child),
469 		    ("pctrie_lookup_ge: child is radix node"));
470 
471 		/*
472 		 * If a value or edge bigger than the search slot is not found
473 		 * in the current node, ascend to the next higher-level node.
474 		 */
475 		goto ascend;
476 descend:
477 		KASSERT(node->pn_clev > 0,
478 		    ("pctrie_lookup_ge: pushing leaf's parent"));
479 		KASSERT(tos < PCTRIE_LIMIT,
480 		    ("pctrie_lookup_ge: stack overflow"));
481 		stack[tos++] = node;
482 		node = child;
483 	}
484 }
485 
486 /*
487  * Look up the nearest entry at a position less than or equal to index.
488  */
489 uint64_t *
490 pctrie_lookup_le(struct pctrie *ptree, uint64_t index)
491 {
492 	struct pctrie_node *stack[PCTRIE_LIMIT];
493 	uint64_t inc;
494 	uint64_t *m;
495 	struct pctrie_node *child, *node;
496 #ifdef INVARIANTS
497 	int loops = 0;
498 #endif
499 	int slot, tos;
500 
501 	node = pctrie_getroot(ptree);
502 	if (node == NULL)
503 		return (NULL);
504 	else if (pctrie_isleaf(node)) {
505 		m = pctrie_toval(node);
506 		if (*m <= index)
507 			return (m);
508 		else
509 			return (NULL);
510 	}
511 	tos = 0;
512 	for (;;) {
513 		/*
514 		 * If the keys differ before the current bisection node,
515 		 * then the search key might rollback to the earliest
516 		 * available bisection node or to the largest key
517 		 * in the current node (if the owner is smaller than the
518 		 * search key).
519 		 */
520 		if (pctrie_keybarr(node, index)) {
521 			if (index > node->pn_owner) {
522 				index = node->pn_owner + PCTRIE_COUNT *
523 				    PCTRIE_UNITLEVEL(node->pn_clev);
524 			} else {
525 ascend:
526 				KASSERT(++loops < 1000,
527 				    ("pctrie_lookup_le: too many loops"));
528 
529 				/*
530 				 * Pop nodes from the stack until either the
531 				 * stack is empty or a node that could have a
532 				 * matching descendant is found.
533 				 */
534 				do {
535 					if (tos == 0)
536 						return (NULL);
537 					node = stack[--tos];
538 				} while (pctrie_slot(index,
539 				    node->pn_clev) == 0);
540 
541 				/*
542 				 * The following computation cannot overflow
543 				 * because index's slot at the current level
544 				 * is greater than 0.
545 				 */
546 				index = pctrie_trimkey(index,
547 				    node->pn_clev);
548 			}
549 			index--;
550 			KASSERT(!pctrie_keybarr(node, index),
551 			    ("pctrie_lookup_le: keybarr failed"));
552 		}
553 		slot = pctrie_slot(index, node->pn_clev);
554 		child = node->pn_child[slot];
555 		if (pctrie_isleaf(child)) {
556 			m = pctrie_toval(child);
557 			if (*m <= index)
558 				return (m);
559 		} else if (child != NULL)
560 			goto descend;
561 
562 		/*
563 		 * Look for an available edge or value within the current
564 		 * bisection node.
565 		 */
566 		if (slot > 0) {
567 			inc = PCTRIE_UNITLEVEL(node->pn_clev);
568 			index |= inc - 1;
569 			do {
570 				index -= inc;
571 				slot--;
572 				child = node->pn_child[slot];
573 				if (pctrie_isleaf(child)) {
574 					m = pctrie_toval(child);
575 					if (*m <= index)
576 						return (m);
577 				} else if (child != NULL)
578 					goto descend;
579 			} while (slot > 0);
580 		}
581 		KASSERT(child == NULL || pctrie_isleaf(child),
582 		    ("pctrie_lookup_le: child is radix node"));
583 
584 		/*
585 		 * If a value or edge smaller than the search slot is not found
586 		 * in the current node, ascend to the next higher-level node.
587 		 */
588 		goto ascend;
589 descend:
590 		KASSERT(node->pn_clev > 0,
591 		    ("pctrie_lookup_le: pushing leaf's parent"));
592 		KASSERT(tos < PCTRIE_LIMIT,
593 		    ("pctrie_lookup_le: stack overflow"));
594 		stack[tos++] = node;
595 		node = child;
596 	}
597 }
598 
599 /*
600  * Remove the specified index from the tree.
601  * Panics if the key is not present.
602  */
603 void
604 pctrie_remove(struct pctrie *ptree, uint64_t index, pctrie_free_t freefn)
605 {
606 	struct pctrie_node *node, *parent;
607 	uint64_t *m;
608 	int i, slot;
609 
610 	node = pctrie_getroot(ptree);
611 	if (pctrie_isleaf(node)) {
612 		m = pctrie_toval(node);
613 		if (*m != index)
614 			panic("%s: invalid key found", __func__);
615 		pctrie_setroot(ptree, NULL);
616 		return;
617 	}
618 	parent = NULL;
619 	for (;;) {
620 		if (node == NULL)
621 			panic("pctrie_remove: impossible to locate the key");
622 		slot = pctrie_slot(index, node->pn_clev);
623 		if (pctrie_isleaf(node->pn_child[slot])) {
624 			m = pctrie_toval(node->pn_child[slot]);
625 			if (*m != index)
626 				panic("%s: invalid key found", __func__);
627 			node->pn_child[slot] = NULL;
628 			node->pn_count--;
629 			if (node->pn_count > 1)
630 				break;
631 			for (i = 0; i < PCTRIE_COUNT; i++)
632 				if (node->pn_child[i] != NULL)
633 					break;
634 			KASSERT(i != PCTRIE_COUNT,
635 			    ("%s: invalid node configuration", __func__));
636 			if (parent == NULL)
637 				pctrie_setroot(ptree, node->pn_child[i]);
638 			else {
639 				slot = pctrie_slot(index, parent->pn_clev);
640 				KASSERT(parent->pn_child[slot] == node,
641 				    ("%s: invalid child value", __func__));
642 				parent->pn_child[slot] = node->pn_child[i];
643 			}
644 			node->pn_count--;
645 			node->pn_child[i] = NULL;
646 			pctrie_node_put(ptree, node, freefn);
647 			break;
648 		}
649 		parent = node;
650 		node = node->pn_child[slot];
651 	}
652 }
653 
654 /*
655  * Remove and free all the nodes from the tree.
656  * This function is recursive but there is a tight control on it as the
657  * maximum depth of the tree is fixed.
658  */
659 void
660 pctrie_reclaim_allnodes(struct pctrie *ptree, pctrie_free_t freefn)
661 {
662 	struct pctrie_node *root;
663 
664 	root = pctrie_getroot(ptree);
665 	if (root == NULL)
666 		return;
667 	pctrie_setroot(ptree, NULL);
668 	if (!pctrie_isleaf(root))
669 		pctrie_reclaim_allnodes_int(ptree, root, freefn);
670 }
671 
672 #ifdef DDB
673 /*
674  * Show details about the given node.
675  */
676 DB_SHOW_COMMAND(pctrienode, db_show_pctrienode)
677 {
678 	struct pctrie_node *node;
679 	int i;
680 
681         if (!have_addr)
682                 return;
683 	node = (struct pctrie_node *)addr;
684 	db_printf("node %p, owner %jx, children count %u, level %u:\n",
685 	    (void *)node, (uintmax_t)node->pn_owner, node->pn_count,
686 	    node->pn_clev);
687 	for (i = 0; i < PCTRIE_COUNT; i++)
688 		if (node->pn_child[i] != NULL)
689 			db_printf("slot: %d, val: %p, value: %p, clev: %d\n",
690 			    i, (void *)node->pn_child[i],
691 			    pctrie_isleaf(node->pn_child[i]) ?
692 			    pctrie_toval(node->pn_child[i]) : NULL,
693 			    node->pn_clev);
694 }
695 #endif /* DDB */
696