2 * Copyright (c) 2013 EMC Corp.
3 * Copyright (c) 2011 Jeffrey Roberson <jeff@freebsd.org>
4 * Copyright (c) 2008 Mayur Shardul <mayur.shardul@gmail.com>
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
10 * 1. Redistributions of source code must retain the above copyright
11 * notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in the
14 * documentation and/or other materials provided with the distribution.
16 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
20 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
31 * Path-compressed radix trie implementation.
32 * The following code is not generalized into a general purpose library
33 * because there are way too many parameters embedded that should really
34 * be decided by the library consumers. At the same time, consumers
35 * of this code must achieve highest possible performance.
37 * The implementation takes into account the following rationale:
38 * - Size of the nodes should be as small as possible but still big enough
39 * to avoid a large maximum depth for the trie. This is a balance
40 * between the necessity to not wire too much physical memory for the nodes
41 * and the necessity to avoid too much cache pollution during the trie
43 * - There is not a huge bias toward the number of lookup operations over
44 * the number of insert and remove operations. This basically implies
45 * that optimizations supposedly helping one operation but hurting the
46 * other might be carefully evaluated.
47 * - On average not many nodes are expected to be fully populated, hence
48 * level compression may just complicate things.
51 #include <sys/cdefs.h>
52 __FBSDID("$FreeBSD$");
56 #include <sys/param.h>
57 #include <sys/systm.h>
58 #include <sys/kernel.h>
59 #include <sys/vmmeter.h>
63 #include <vm/vm_param.h>
64 #include <vm/vm_page.h>
65 #include <vm/vm_radix.h>
72 * These widths should allow the pointers to a node's children to fit within
73 * a single cache line. The extra levels from a narrow width should not be
74 * a problem thanks to path compression.
77 #define VM_RADIX_WIDTH 4
79 #define VM_RADIX_WIDTH 3
82 #define VM_RADIX_COUNT (1 << VM_RADIX_WIDTH)
83 #define VM_RADIX_MASK (VM_RADIX_COUNT - 1)
84 #define VM_RADIX_LIMIT \
85 (howmany((sizeof(vm_pindex_t) * NBBY), VM_RADIX_WIDTH) - 1)
87 /* Flag bits stored in node pointers. */
88 #define VM_RADIX_ISLEAF 0x1
89 #define VM_RADIX_FLAGS 0x1
90 #define VM_RADIX_PAD VM_RADIX_FLAGS
92 /* Returns one unit associated with specified level. */
93 #define VM_RADIX_UNITLEVEL(lev) \
94 ((vm_pindex_t)1 << ((lev) * VM_RADIX_WIDTH))
96 struct vm_radix_node {
97 vm_pindex_t rn_owner; /* Owner of record. */
98 uint16_t rn_count; /* Valid children. */
99 uint16_t rn_clev; /* Current level. */
100 void *rn_child[VM_RADIX_COUNT]; /* Child nodes. */
103 static uma_zone_t vm_radix_node_zone;
106 * Allocate a radix node. Pre-allocation should ensure that the request
107 * will always be satisfied.
109 static __inline struct vm_radix_node *
110 vm_radix_node_get(vm_pindex_t owner, uint16_t count, uint16_t clevel)
112 struct vm_radix_node *rnode;
114 rnode = uma_zalloc(vm_radix_node_zone, M_NOWAIT);
117 * The required number of nodes should already be pre-allocated
118 * by vm_radix_prealloc(). However, UMA can hold a few nodes
119 * in per-CPU buckets, which will not be accessible by the
120 * current CPU. Thus, the allocation could return NULL when
121 * the pre-allocated pool is close to exhaustion. Anyway,
122 * in practice this should never occur because a new node
123 * is not always required for insert. Thus, the pre-allocated
124 * pool should have some extra pages that prevent this from
125 * becoming a problem.
128 panic("%s: uma_zalloc() returned NULL for a new node",
130 rnode->rn_owner = owner;
131 rnode->rn_count = count;
132 rnode->rn_clev = clevel;
140 vm_radix_node_put(struct vm_radix_node *rnode)
143 uma_zfree(vm_radix_node_zone, rnode);
147 * Return the position in the array for a given level.
150 vm_radix_slot(vm_pindex_t index, uint16_t level)
153 return ((index >> (level * VM_RADIX_WIDTH)) & VM_RADIX_MASK);
156 /* Trims the key after the specified level. */
157 static __inline vm_pindex_t
158 vm_radix_trimkey(vm_pindex_t index, uint16_t level)
164 ret >>= level * VM_RADIX_WIDTH;
165 ret <<= level * VM_RADIX_WIDTH;
171 * Get the root node for a radix tree.
173 static __inline struct vm_radix_node *
174 vm_radix_getroot(struct vm_radix *rtree)
177 return ((struct vm_radix_node *)rtree->rt_root);
181 * Set the root node for a radix tree.
184 vm_radix_setroot(struct vm_radix *rtree, struct vm_radix_node *rnode)
187 rtree->rt_root = (uintptr_t)rnode;
191 * Returns TRUE if the specified radix node is a leaf and FALSE otherwise.
193 static __inline boolean_t
194 vm_radix_isleaf(struct vm_radix_node *rnode)
197 return (((uintptr_t)rnode & VM_RADIX_ISLEAF) != 0);
201 * Returns the associated page extracted from rnode.
203 static __inline vm_page_t
204 vm_radix_topage(struct vm_radix_node *rnode)
207 return ((vm_page_t)((uintptr_t)rnode & ~VM_RADIX_FLAGS));
211 * Adds the page as a child of the provided node.
214 vm_radix_addpage(struct vm_radix_node *rnode, vm_pindex_t index, uint16_t clev,
219 slot = vm_radix_slot(index, clev);
220 rnode->rn_child[slot] = (void *)((uintptr_t)page | VM_RADIX_ISLEAF);
224 * Returns the slot where two keys differ.
225 * It cannot accept 2 equal keys.
227 static __inline uint16_t
228 vm_radix_keydiff(vm_pindex_t index1, vm_pindex_t index2)
232 KASSERT(index1 != index2, ("%s: passing the same key value %jx",
233 __func__, (uintmax_t)index1));
236 for (clev = VM_RADIX_LIMIT;; clev--)
237 if (vm_radix_slot(index1, clev) != 0)
242 * Returns TRUE if it can be determined that key does not belong to the
243 * specified rnode. Otherwise, returns FALSE.
245 static __inline boolean_t
246 vm_radix_keybarr(struct vm_radix_node *rnode, vm_pindex_t idx)
249 if (rnode->rn_clev < VM_RADIX_LIMIT) {
250 idx = vm_radix_trimkey(idx, rnode->rn_clev + 1);
251 return (idx != rnode->rn_owner);
257 * Internal helper for vm_radix_reclaim_allnodes().
258 * This function is recursive.
261 vm_radix_reclaim_allnodes_int(struct vm_radix_node *rnode)
265 KASSERT(rnode->rn_count <= VM_RADIX_COUNT,
266 ("vm_radix_reclaim_allnodes_int: bad count in rnode %p", rnode));
267 for (slot = 0; rnode->rn_count != 0; slot++) {
268 if (rnode->rn_child[slot] == NULL)
270 if (!vm_radix_isleaf(rnode->rn_child[slot]))
271 vm_radix_reclaim_allnodes_int(rnode->rn_child[slot]);
272 rnode->rn_child[slot] = NULL;
275 vm_radix_node_put(rnode);
280 * Radix node zone destructor.
283 vm_radix_node_zone_dtor(void *mem, int size __unused, void *arg __unused)
285 struct vm_radix_node *rnode;
289 KASSERT(rnode->rn_count == 0,
290 ("vm_radix_node_put: rnode %p has %d children", rnode,
292 for (slot = 0; slot < VM_RADIX_COUNT; slot++)
293 KASSERT(rnode->rn_child[slot] == NULL,
294 ("vm_radix_node_put: rnode %p has a child", rnode));
299 * Radix node zone initializer.
302 vm_radix_node_zone_init(void *mem, int size __unused, int flags __unused)
304 struct vm_radix_node *rnode;
307 memset(rnode->rn_child, 0, sizeof(rnode->rn_child));
312 * Pre-allocate intermediate nodes from the UMA slab zone.
315 vm_radix_prealloc(void *arg __unused)
320 * Calculate the number of reserved nodes, discounting the pages that
321 * are needed to store them.
323 nodes = ((vm_paddr_t)cnt.v_page_count * PAGE_SIZE) / (PAGE_SIZE +
324 sizeof(struct vm_radix_node));
325 if (!uma_zone_reserve_kva(vm_radix_node_zone, nodes))
326 panic("%s: unable to create new zone", __func__);
327 uma_prealloc(vm_radix_node_zone, nodes);
329 SYSINIT(vm_radix_prealloc, SI_SUB_KMEM, SI_ORDER_SECOND, vm_radix_prealloc,
333 * Initialize the UMA slab zone.
334 * Until vm_radix_prealloc() is called, the zone will be served by the
335 * UMA boot-time pre-allocated pool of pages.
341 vm_radix_node_zone = uma_zcreate("RADIX NODE",
342 sizeof(struct vm_radix_node), NULL,
344 vm_radix_node_zone_dtor,
348 vm_radix_node_zone_init, NULL, VM_RADIX_PAD, UMA_ZONE_VM |
353 * Inserts the key-value pair into the trie.
354 * Panics if the key already exists.
357 vm_radix_insert(struct vm_radix *rtree, vm_page_t page)
359 vm_pindex_t index, newind;
361 struct vm_radix_node *rnode, *tmp;
366 index = page->pindex;
369 * The owner of record for root is not really important because it
370 * will never be used.
372 rnode = vm_radix_getroot(rtree);
374 rtree->rt_root = (uintptr_t)page | VM_RADIX_ISLEAF;
377 parentp = (void **)&rtree->rt_root;
379 if (vm_radix_isleaf(rnode)) {
380 m = vm_radix_topage(rnode);
381 if (m->pindex == index)
382 panic("%s: key %jx is already present",
383 __func__, (uintmax_t)index);
384 clev = vm_radix_keydiff(m->pindex, index);
385 tmp = vm_radix_node_get(vm_radix_trimkey(index,
388 vm_radix_addpage(tmp, index, clev, page);
389 vm_radix_addpage(tmp, m->pindex, clev, m);
391 } else if (vm_radix_keybarr(rnode, index))
393 slot = vm_radix_slot(index, rnode->rn_clev);
394 if (rnode->rn_child[slot] == NULL) {
396 vm_radix_addpage(rnode, index, rnode->rn_clev, page);
399 parentp = &rnode->rn_child[slot];
400 rnode = rnode->rn_child[slot];
404 * A new node is needed because the right insertion level is reached.
405 * Setup the new intermediate node and add the 2 children: the
406 * new object and the older edge.
408 newind = rnode->rn_owner;
409 clev = vm_radix_keydiff(newind, index);
410 tmp = vm_radix_node_get(vm_radix_trimkey(index, clev + 1), 2,
413 vm_radix_addpage(tmp, index, clev, page);
414 slot = vm_radix_slot(newind, clev);
415 tmp->rn_child[slot] = rnode;
419 * Returns the value stored at the index. If the index is not present,
423 vm_radix_lookup(struct vm_radix *rtree, vm_pindex_t index)
425 struct vm_radix_node *rnode;
429 rnode = vm_radix_getroot(rtree);
430 while (rnode != NULL) {
431 if (vm_radix_isleaf(rnode)) {
432 m = vm_radix_topage(rnode);
433 if (m->pindex == index)
437 } else if (vm_radix_keybarr(rnode, index))
439 slot = vm_radix_slot(index, rnode->rn_clev);
440 rnode = rnode->rn_child[slot];
446 * Look up the nearest entry at a position bigger than or equal to index.
449 vm_radix_lookup_ge(struct vm_radix *rtree, vm_pindex_t index)
451 struct vm_radix_node *stack[VM_RADIX_LIMIT];
454 struct vm_radix_node *child, *rnode;
460 rnode = vm_radix_getroot(rtree);
463 else if (vm_radix_isleaf(rnode)) {
464 m = vm_radix_topage(rnode);
465 if (m->pindex >= index)
473 * If the keys differ before the current bisection node,
474 * then the search key might rollback to the earliest
475 * available bisection node or to the smallest key
476 * in the current node (if the owner is bigger than the
479 if (vm_radix_keybarr(rnode, index)) {
480 if (index > rnode->rn_owner) {
482 KASSERT(++loops < 1000,
483 ("vm_radix_lookup_ge: too many loops"));
486 * Pop nodes from the stack until either the
487 * stack is empty or a node that could have a
488 * matching descendant is found.
493 rnode = stack[--tos];
494 } while (vm_radix_slot(index,
495 rnode->rn_clev) == (VM_RADIX_COUNT - 1));
498 * The following computation cannot overflow
499 * because index's slot at the current level
500 * is less than VM_RADIX_COUNT - 1.
502 index = vm_radix_trimkey(index,
504 index += VM_RADIX_UNITLEVEL(rnode->rn_clev);
506 index = rnode->rn_owner;
507 KASSERT(!vm_radix_keybarr(rnode, index),
508 ("vm_radix_lookup_ge: keybarr failed"));
510 slot = vm_radix_slot(index, rnode->rn_clev);
511 child = rnode->rn_child[slot];
512 if (vm_radix_isleaf(child)) {
513 m = vm_radix_topage(child);
514 if (m->pindex >= index)
516 } else if (child != NULL)
520 * Look for an available edge or page within the current
523 if (slot < (VM_RADIX_COUNT - 1)) {
524 inc = VM_RADIX_UNITLEVEL(rnode->rn_clev);
525 index = vm_radix_trimkey(index, rnode->rn_clev);
529 child = rnode->rn_child[slot];
530 if (vm_radix_isleaf(child)) {
531 m = vm_radix_topage(child);
532 if (m->pindex >= index)
534 } else if (child != NULL)
536 } while (slot < (VM_RADIX_COUNT - 1));
538 KASSERT(child == NULL || vm_radix_isleaf(child),
539 ("vm_radix_lookup_ge: child is radix node"));
542 * If a page or edge bigger than the search slot is not found
543 * in the current node, ascend to the next higher-level node.
547 KASSERT(rnode->rn_clev > 0,
548 ("vm_radix_lookup_ge: pushing leaf's parent"));
549 KASSERT(tos < VM_RADIX_LIMIT,
550 ("vm_radix_lookup_ge: stack overflow"));
551 stack[tos++] = rnode;
557 * Look up the nearest entry at a position less than or equal to index.
560 vm_radix_lookup_le(struct vm_radix *rtree, vm_pindex_t index)
562 struct vm_radix_node *stack[VM_RADIX_LIMIT];
565 struct vm_radix_node *child, *rnode;
571 rnode = vm_radix_getroot(rtree);
574 else if (vm_radix_isleaf(rnode)) {
575 m = vm_radix_topage(rnode);
576 if (m->pindex <= index)
584 * If the keys differ before the current bisection node,
585 * then the search key might rollback to the earliest
586 * available bisection node or to the largest key
587 * in the current node (if the owner is smaller than the
590 if (vm_radix_keybarr(rnode, index)) {
591 if (index > rnode->rn_owner) {
592 index = rnode->rn_owner + VM_RADIX_COUNT *
593 VM_RADIX_UNITLEVEL(rnode->rn_clev);
596 KASSERT(++loops < 1000,
597 ("vm_radix_lookup_le: too many loops"));
600 * Pop nodes from the stack until either the
601 * stack is empty or a node that could have a
602 * matching descendant is found.
607 rnode = stack[--tos];
608 } while (vm_radix_slot(index,
609 rnode->rn_clev) == 0);
612 * The following computation cannot overflow
613 * because index's slot at the current level
616 index = vm_radix_trimkey(index,
620 KASSERT(!vm_radix_keybarr(rnode, index),
621 ("vm_radix_lookup_le: keybarr failed"));
623 slot = vm_radix_slot(index, rnode->rn_clev);
624 child = rnode->rn_child[slot];
625 if (vm_radix_isleaf(child)) {
626 m = vm_radix_topage(child);
627 if (m->pindex <= index)
629 } else if (child != NULL)
633 * Look for an available edge or page within the current
637 inc = VM_RADIX_UNITLEVEL(rnode->rn_clev);
642 child = rnode->rn_child[slot];
643 if (vm_radix_isleaf(child)) {
644 m = vm_radix_topage(child);
645 if (m->pindex <= index)
647 } else if (child != NULL)
651 KASSERT(child == NULL || vm_radix_isleaf(child),
652 ("vm_radix_lookup_le: child is radix node"));
655 * If a page or edge smaller than the search slot is not found
656 * in the current node, ascend to the next higher-level node.
660 KASSERT(rnode->rn_clev > 0,
661 ("vm_radix_lookup_le: pushing leaf's parent"));
662 KASSERT(tos < VM_RADIX_LIMIT,
663 ("vm_radix_lookup_le: stack overflow"));
664 stack[tos++] = rnode;
670 * Remove the specified index from the tree.
671 * Panics if the key is not present.
674 vm_radix_remove(struct vm_radix *rtree, vm_pindex_t index)
676 struct vm_radix_node *rnode, *parent;
680 rnode = vm_radix_getroot(rtree);
681 if (vm_radix_isleaf(rnode)) {
682 m = vm_radix_topage(rnode);
683 if (m->pindex != index)
684 panic("%s: invalid key found", __func__);
685 vm_radix_setroot(rtree, NULL);
691 panic("vm_radix_remove: impossible to locate the key");
692 slot = vm_radix_slot(index, rnode->rn_clev);
693 if (vm_radix_isleaf(rnode->rn_child[slot])) {
694 m = vm_radix_topage(rnode->rn_child[slot]);
695 if (m->pindex != index)
696 panic("%s: invalid key found", __func__);
697 rnode->rn_child[slot] = NULL;
699 if (rnode->rn_count > 1)
701 for (i = 0; i < VM_RADIX_COUNT; i++)
702 if (rnode->rn_child[i] != NULL)
704 KASSERT(i != VM_RADIX_COUNT,
705 ("%s: invalid node configuration", __func__));
707 vm_radix_setroot(rtree, rnode->rn_child[i]);
709 slot = vm_radix_slot(index, parent->rn_clev);
710 KASSERT(parent->rn_child[slot] == rnode,
711 ("%s: invalid child value", __func__));
712 parent->rn_child[slot] = rnode->rn_child[i];
715 rnode->rn_child[i] = NULL;
716 vm_radix_node_put(rnode);
720 rnode = rnode->rn_child[slot];
725 * Remove and free all the nodes from the radix tree.
726 * This function is recursive but there is a tight control on it as the
727 * maximum depth of the tree is fixed.
730 vm_radix_reclaim_allnodes(struct vm_radix *rtree)
732 struct vm_radix_node *root;
734 root = vm_radix_getroot(rtree);
737 vm_radix_setroot(rtree, NULL);
738 if (!vm_radix_isleaf(root))
739 vm_radix_reclaim_allnodes_int(root);
744 * Show details about the given radix node.
746 DB_SHOW_COMMAND(radixnode, db_show_radixnode)
748 struct vm_radix_node *rnode;
753 rnode = (struct vm_radix_node *)addr;
754 db_printf("radixnode %p, owner %jx, children count %u, level %u:\n",
755 (void *)rnode, (uintmax_t)rnode->rn_owner, rnode->rn_count,
757 for (i = 0; i < VM_RADIX_COUNT; i++)
758 if (rnode->rn_child[i] != NULL)
759 db_printf("slot: %d, val: %p, page: %p, clev: %d\n",
760 i, (void *)rnode->rn_child[i],
761 vm_radix_isleaf(rnode->rn_child[i]) ?
762 vm_radix_topage(rnode->rn_child[i]) : NULL,