/* * Written by Josh Dybnis and released to the public domain, as explained at * http://creativecommons.org/licenses/publicdomain * * Implementation of the lock-free skiplist data-structure created by Maurice Herlihy, Yossi Lev, * and Nir Shavit. See Herlihy's and Shivit's book "The Art of Multiprocessor Programming". * http://www.amazon.com/Art-Multiprocessor-Programming-Maurice-Herlihy/dp/0123705916/ * * See also Kir Fraser's dissertation "Practical Lock Freedom". * www.cl.cam.ac.uk/techreports/UCAM-CL-TR-579.pdf * * I've generalized the data structure to support update operations like set() and CAS() in addition to * the normal add() and remove() operations. * * Warning: This code is written for the x86 memory-model. The algorithim depends on certain stores * and loads being ordered. This code won't work correctly on platforms with weaker memory models if * you don't add memory barriers in the right places. */ #include #include #include "common.h" #include "skiplist.h" #include "runtime.h" #include "mem.h" #include "rcu.h" // Setting MAX_LEVELS to 1 essentially makes this data structure the Harris-Michael lock-free list (see list.c). #define MAX_LEVELS 24 enum unlink { FORCE_UNLINK, ASSIST_UNLINK, DONT_UNLINK }; typedef struct node { map_key_t key; map_val_t val; unsigned num_levels; markable_t next[1]; } node_t; struct sl_iter { node_t *next; }; struct sl { node_t *head; const datatype_t *key_type; int high_water; // max historic number of levels }; // Marking the field of a node logically removes it from the list #if 0 static inline markable_t MARK_NODE(node_t * x) { return TAG_VALUE((markable_t)x, 0x1); } static inline int HAS_MARK(markable_t x) { return (IS_TAGGED(x, 0x1) == 0x1); } static inline node_t * GET_NODE(markable_t x) { assert(!HAS_MARK(x)); return (node_t *)x; } static inline node_t * STRIP_MARK(markable_t x) { return ((node_t *)STRIP_TAG(x, 0x1)); } #else #define MARK_NODE(x) TAG_VALUE((markable_t)(x), 0x1) #define HAS_MARK(x) (IS_TAGGED((x), 0x1) == 0x1) #define GET_NODE(x) ((node_t *)(x)) #define STRIP_MARK(x) ((node_t *)STRIP_TAG((x), 0x1)) #endif static int random_levels (skiplist_t *sl) { uint64_t r = nbd_rand(); int z = __builtin_ctz(r); int levels = (int)(z / 1.5); if (levels == 0) return 1; if (levels > sl->high_water) { levels = SYNC_ADD(&sl->high_water, 1); TRACE("s2", "random_levels: increased high water mark to %lld", sl->high_water, 0); } if (levels > MAX_LEVELS) { levels = MAX_LEVELS; } return levels; } static node_t *node_alloc (int num_levels, map_key_t key, map_val_t val) { assert(num_levels >= 0 && num_levels <= MAX_LEVELS); size_t sz = sizeof(node_t) + (num_levels - 1) * sizeof(node_t *); node_t *item = (node_t *)nbd_malloc(sz); memset(item, 0, sz); item->key = key; item->val = val; item->num_levels = num_levels; TRACE("s2", "node_alloc: new node %p (%llu levels)", item, num_levels); return item; } skiplist_t *sl_alloc (const datatype_t *key_type) { skiplist_t *sl = (skiplist_t *)nbd_malloc(sizeof(skiplist_t)); sl->key_type = key_type; sl->high_water = 1; sl->head = node_alloc(MAX_LEVELS, 0, 0); memset(sl->head->next, 0, MAX_LEVELS * sizeof(skiplist_t *)); return sl; } void sl_free (skiplist_t *sl) { node_t *item = GET_NODE(sl->head->next[0]); while (item) { node_t *next = STRIP_MARK(item->next[0]); if (sl->key_type != NULL) { nbd_free((void *)item->key); } nbd_free(item); item = next; } } size_t sl_count (skiplist_t *sl) { size_t count = 0; node_t *item = GET_NODE(sl->head->next[0]); while (item) { if (!HAS_MARK(item->next[0])) { count++; } item = STRIP_MARK(item->next[0]); } return count; } static node_t *find_preds (node_t **preds, node_t **succs, int n, skiplist_t *sl, map_key_t key, enum unlink unlink) { node_t *pred = sl->head; node_t *item = NULL; TRACE("s2", "find_preds: searching for key %p in skiplist (head is %p)", key, pred); int d = 0; // Traverse the levels of from the top level to the bottom for (int level = sl->high_water - 1; level >= 0; --level) { markable_t next = pred->next[level]; if (next == DOES_NOT_EXIST && level >= n) continue; TRACE("s3", "find_preds: traversing level %p starting at %p", level, pred); if (EXPECT_FALSE(HAS_MARK(next))) { TRACE("s2", "find_preds: pred %p is marked for removal (next %p); retry", pred, next); ASSERT(level == pred->num_levels - 1 || HAS_MARK(pred->next[level+1])); return find_preds(preds, succs, n, sl, key, unlink); // retry } item = GET_NODE(next); while (item != NULL) { next = item->next[level]; // A tag means an item is logically removed but not physically unlinked yet. while (EXPECT_FALSE(HAS_MARK(next))) { TRACE("s3", "find_preds: found marked item %p (next is %p)", item, next); if (unlink == DONT_UNLINK) { // Skip over logically removed items. item = STRIP_MARK(next); if (EXPECT_FALSE(item == NULL)) break; next = item->next[level]; } else { // Unlink logically removed items. markable_t other = SYNC_CAS(&pred->next[level], (markable_t)item, (markable_t)STRIP_MARK(next)); if (other == (markable_t)item) { TRACE("s3", "find_preds: unlinked item from pred %p", pred, 0); item = STRIP_MARK(next); } else { TRACE("s3", "find_preds: lost race to unlink item pred %p's link changed to %p", pred, other); if (HAS_MARK(other)) return find_preds(preds, succs, n, sl, key, unlink); // retry item = GET_NODE(other); } next = (item != NULL) ? item->next[level] : DOES_NOT_EXIST; } } if (EXPECT_FALSE(item == NULL)) { TRACE("s3", "find_preds: past the last item in the skiplist", 0, 0); break; } TRACE("s4", "find_preds: visiting item %p (next is %p)", item, next); TRACE("s4", "find_preds: key %p val %p", STRIP_MARK(item->key), item->val); if (EXPECT_TRUE(sl->key_type == NULL)) { d = item->key - key; } else { d = sl->key_type->cmp((void *)item->key, (void *)key); } if (d > 0) break; if (d == 0 && unlink != FORCE_UNLINK) break; pred = item; item = GET_NODE(next); } TRACE("s3", "find_preds: found pred %p next %p", pred, item); if (level < n) { if (preds != NULL) { preds[level] = pred; } if (succs != NULL) { succs[level] = item; } } } if (d == 0) { TRACE("s2", "find_preds: found matching item %p in skiplist, pred is %p", item, pred); return item; } TRACE("s2", "find_preds: found proper place for key %p in skiplist, pred is %p. returning null", key, pred); return NULL; } // Fast find that does not help unlink partially removed nodes and does not return the node's predecessors. map_val_t sl_lookup (skiplist_t *sl, map_key_t key) { TRACE("s1", "sl_lookup: searching for key %p in skiplist %p", key, sl); node_t *item = find_preds(NULL, NULL, 0, sl, key, DONT_UNLINK); // If we found an matching the return its value. if (item != NULL) { map_val_t val = item->val; if (val != DOES_NOT_EXIST) { TRACE("s1", "sl_lookup: found item %p. val %p. returning item", item, item->val); return val; } } TRACE("s1", "sl_lookup: no item in the skiplist matched the key", 0, 0); return DOES_NOT_EXIST; } map_key_t sl_min_key (skiplist_t *sl) { node_t *item = GET_NODE(sl->head->next[0]); while (item != NULL) { markable_t next = item->next[0]; if (!HAS_MARK(next)) return item->key; item = STRIP_MARK(next); } return DOES_NOT_EXIST; } static map_val_t update_item (node_t *item, map_val_t expectation, map_val_t new_val) { map_val_t old_val = item->val; // If the item's value is DOES_NOT_EXIST it means another thread removed the node out from under us. if (EXPECT_FALSE(old_val == DOES_NOT_EXIST)) { TRACE("s2", "update_item: lost a race to another thread removing the item. retry", 0, 0); return DOES_NOT_EXIST; // retry } if (EXPECT_FALSE(expectation == CAS_EXPECT_DOES_NOT_EXIST)) { TRACE("s1", "update_item: the expectation was not met; the skiplist was not changed", 0, 0); return old_val; // failure } // Use a CAS and not a SWAP. If the CAS fails it means another thread removed the node or updated its // value. If another thread removed the node but it is not unlinked yet and we used a SWAP, we could // replace DOES_NOT_EXIST with our value. Then another thread that is updating the value could think it // succeeded and return our value even though it should return DOES_NOT_EXIST. if (old_val == SYNC_CAS(&item->val, old_val, new_val)) { TRACE("s1", "update_item: the CAS succeeded. updated the value of the item", 0, 0); return old_val; // success } TRACE("s2", "update_item: lost a race. the CAS failed. another thread changed the item's value", 0, 0); // retry return update_item(item, expectation, new_val); // tail call } map_val_t sl_cas (skiplist_t *sl, map_key_t key, map_val_t expectation, map_val_t new_val) { TRACE("s1", "sl_cas: key %p skiplist %p", key, sl); TRACE("s1", "sl_cas: expectation %p new value %p", expectation, new_val); ASSERT((int64_t)new_val > 0); node_t *preds[MAX_LEVELS]; node_t *nexts[MAX_LEVELS]; node_t *new_item = NULL; int n = random_levels(sl); node_t *old_item = find_preds(preds, nexts, n, sl, key, ASSIST_UNLINK); // If there is already an item in the skiplist that matches the key just update its value. if (old_item != NULL) { map_val_t ret_val = update_item(old_item, expectation, new_val); if (ret_val != DOES_NOT_EXIST) return ret_val; // If we lose a race with a thread removing the item we tried to update then we have to retry. return sl_cas(sl, key, expectation, new_val); // tail call } if (EXPECT_FALSE(expectation != CAS_EXPECT_DOES_NOT_EXIST && expectation != CAS_EXPECT_WHATEVER)) { TRACE("s1", "sl_cas: the expectation was not met, the skiplist was not changed", 0, 0); return DOES_NOT_EXIST; // failure, the caller expected an item for the to already exist } // Create a new node and insert it into the skiplist. TRACE("s3", "sl_cas: attempting to insert a new item between %p and %p", preds[0], nexts[0]); map_key_t new_key = sl->key_type == NULL ? key : (map_key_t)sl->key_type->clone((void *)key); new_item = node_alloc(n, new_key, new_val); // Set 's next pointers to their proper values markable_t next = new_item->next[0] = (markable_t)nexts[0]; for (int level = 1; level < new_item->num_levels; ++level) { new_item->next[level] = (markable_t)nexts[level]; } // Link into from the bottom level up. After is inserted into the bottom level // it is officially part of the skiplist. node_t *pred = preds[0]; markable_t other = SYNC_CAS(&pred->next[0], next, (markable_t)new_item); if (other != next) { TRACE("s3", "sl_cas: failed to change pred's link: expected %p found %p", next, other); // Lost a race to another thread modifying the skiplist. Free the new item we allocated and retry. if (sl->key_type != NULL) { nbd_free((void *)new_key); } nbd_free(new_item); return sl_cas(sl, key, expectation, new_val); // tail call } TRACE("s3", "sl_cas: successfully inserted a new item %p at the bottom level", new_item, 0); ASSERT(new_item->num_levels <= MAX_LEVELS); for (int level = 1; level < new_item->num_levels; ++level) { TRACE("s3", "sl_cas: inserting the new item %p at level %p", new_item, level); do { node_t * pred = preds[level]; ASSERT(new_item->next[level]==(markable_t)nexts[level] || new_item->next[level]==MARK_NODE(nexts[level])); TRACE("s3", "sl_cas: attempting to to insert the new item between %p and %p", pred, nexts[level]); markable_t other = SYNC_CAS(&pred->next[level], (markable_t)nexts[level], (markable_t)new_item); if (other == (markable_t)nexts[level]) break; // successfully linked into the skiplist at the current TRACE("s3", "sl_cas: lost a race. failed to change pred's link. expected %p found %p", nexts[level], other); // Find 's new preds and nexts. find_preds(preds, nexts, new_item->num_levels, sl, key, ASSIST_UNLINK); for (int i = level; i < new_item->num_levels; ++i) { markable_t old_next = new_item->next[i]; if ((markable_t)nexts[i] == old_next) continue; // Update 's inconsistent next pointer before trying again. Use a CAS so if another thread // is trying to remove the new item concurrently we do not stomp on the mark it places on the item. TRACE("s3", "sl_cas: attempting to update the new item's link from %p to %p", old_next, nexts[i]); other = SYNC_CAS(&new_item->next[i], old_next, (markable_t)nexts[i]); ASSERT(other == old_next || other == MARK_NODE(old_next)); // If another thread is removing this item we can stop linking it into to skiplist if (HAS_MARK(other)) { find_preds(NULL, NULL, 0, sl, key, FORCE_UNLINK); // see comment below return DOES_NOT_EXIST; } } } while (1); } // In case another thread was in the process of removing the while we were added it, we have to // make sure it is completely unlinked before we return. We might have lost a race and inserted the new item // at some level after the other thread thought it was fully removed. That is a problem because once a thread // thinks it completely unlinks a node it queues it to be freed if (HAS_MARK(new_item->next[new_item->num_levels - 1])) { find_preds(NULL, NULL, 0, sl, key, FORCE_UNLINK); } return DOES_NOT_EXIST; // success, inserted a new item } map_val_t sl_remove (skiplist_t *sl, map_key_t key) { TRACE("s1", "sl_remove: removing item with key %p from skiplist %p", key, sl); node_t *preds[MAX_LEVELS]; node_t *item = find_preds(preds, NULL, sl->high_water, sl, key, ASSIST_UNLINK); if (item == NULL) { TRACE("s3", "sl_remove: remove failed, an item with a matching key does not exist in the skiplist", 0, 0); return DOES_NOT_EXIST; } // Mark at each level of from the top down. If multiple threads try to concurrently remove // the same item only one of them should succeed. Marking the bottom level establishes which of them succeeds. markable_t old_next = 0; for (int level = item->num_levels - 1; level >= 0; --level) { markable_t next; old_next = item->next[level]; do { TRACE("s3", "sl_remove: marking item at level %p (next %p)", level, old_next); next = old_next; old_next = SYNC_CAS(&item->next[level], next, MARK_NODE((node_t *)next)); if (HAS_MARK(old_next)) { TRACE("s2", "sl_remove: %p is already marked for removal by another thread (next %p)", item, old_next); if (level == 0) return DOES_NOT_EXIST; break; } } while (next != old_next); } // Atomically swap out the item's value in case another thread is updating the item while we are // removing it. This establishes which operation occurs first logically, the update or the remove. map_val_t val = SYNC_SWAP(&item->val, DOES_NOT_EXIST); TRACE("s2", "sl_remove: replaced item %p's value with DOES_NOT_EXIT", item, 0); // unlink the item find_preds(NULL, NULL, 0, sl, key, FORCE_UNLINK); // free the node if (sl->key_type != NULL) { rcu_defer_free((void *)item->key); } rcu_defer_free(item); return val; } void sl_print (skiplist_t *sl, int verbose) { if (verbose) { for (int level = MAX_LEVELS - 1; level >= 0; --level) { node_t *item = sl->head; if (item->next[level] == DOES_NOT_EXIST) continue; printf("(%d) ", level); int i = 0; while (item) { markable_t next = item->next[level]; printf("%s%p ", HAS_MARK(next) ? "*" : "", item); item = STRIP_MARK(next); if (i++ > 30) { printf("..."); break; } } printf("\n"); fflush(stdout); } node_t *item = sl->head; int i = 0; while (item) { int is_marked = HAS_MARK(item->next[0]); printf("%s%p:0x%llx ", is_marked ? "*" : "", item, (uint64_t)item->key); if (item != sl->head) { printf("[%d]", item->num_levels); } else { printf("[HEAD]"); } for (int level = 1; level < item->num_levels; ++level) { node_t *next = STRIP_MARK(item->next[level]); is_marked = HAS_MARK(item->next[0]); printf(" %p%s", next, is_marked ? "*" : ""); if (item == sl->head && item->next[level] == DOES_NOT_EXIST) break; } printf("\n"); fflush(stdout); item = STRIP_MARK(item->next[0]); if (i++ > 30) { printf("...\n"); break; } } } printf("levels:%-2d count:%-6lld \n", sl->high_water, (uint64_t)sl_count(sl)); } sl_iter_t *sl_iter_begin (skiplist_t *sl, map_key_t key) { sl_iter_t *iter = (sl_iter_t *)nbd_malloc(sizeof(sl_iter_t)); if (key != DOES_NOT_EXIST) { find_preds(NULL, &iter->next, 1, sl, key, DONT_UNLINK); } else { iter->next = GET_NODE(sl->head->next[0]); } return iter; } map_val_t sl_iter_next (sl_iter_t *iter, map_key_t *key_ptr) { assert(iter); node_t *item = iter->next; while (item != NULL && HAS_MARK(item->next[0])) { item = STRIP_MARK(item->next[0]); } if (item == NULL) { iter->next = NULL; return DOES_NOT_EXIST; } iter->next = STRIP_MARK(item->next[0]); if (key_ptr != NULL) { *key_ptr = item->key; } return item->val; } void sl_iter_free (sl_iter_t *iter) { nbd_free(iter); }