// SPDX-License-Identifier: LicenseRef-Skiplist-BSD-0-Clause /* * Copyright 1990 William Pugh * * Permission to include in quagga provide on March 31, 2016 */ /* * Skip List implementation based on code from William Pugh. * ftp://ftp.cs.umd.edu/pub/skipLists/ * * Skip Lists are a probabilistic alternative to balanced trees, as * described in the June 1990 issue of CACM and were invented by * William Pugh in 1987. * * This file contains source code to implement a dictionary using * skip lists and a test driver to test the routines. * * A couple of comments about this implementation: * The routine randomLevel has been hard-coded to generate random * levels using p=0.25. It can be easily changed. * * The insertion routine has been implemented so as to use the * dirty hack described in the CACM paper: if a random level is * generated that is more than the current maximum level, the * current maximum level plus one is used instead. * * Levels start at zero and go up to MaxLevel (which is equal to * (MaxNumberOfLevels-1). * * The run-time flag SKIPLIST_FLAG_ALLOW_DUPLICATES determines whether or * not duplicates are allowed for a given list. If set, duplicates are * allowed and act in a FIFO manner. If not set, an insertion of a value * already in the list updates the previously existing binding. * * BitsInRandom is defined to be the number of bits returned by a call to * random(). For most all machines with 32-bit integers, this is 31 bits * as currently set. */ #include #include "memory.h" #include "log.h" #include "vty.h" #include "skiplist.h" #include "lib_errors.h" #include "network.h" DEFINE_MTYPE_STATIC(LIB, SKIP_LIST, "Skip List"); DEFINE_MTYPE_STATIC(LIB, SKIP_LIST_NODE, "Skip Node"); DEFINE_MTYPE_STATIC(LIB, SKIP_LIST_STATS, "Skiplist Counters"); #define BitsInRandom 31 #define MaxNumberOfLevels 16 #define MaxLevel (MaxNumberOfLevels-1) #define newNodeOfLevel(l) \ XCALLOC(MTYPE_SKIP_LIST_NODE, \ sizeof(struct skiplistnode) \ + (l) * sizeof(struct skiplistnode *)) /* XXX must match type of (struct skiplist).level_stats */ #define newStatsOfLevel(l) \ XCALLOC(MTYPE_SKIP_LIST_STATS, ((l) + 1) * sizeof(int)) static int randomsLeft; static int randomBits; #ifdef SKIPLIST_DEBUG #define CHECKLAST(sl) \ do { \ if ((sl)->header->forward[0] && !(sl)->last) \ assert(0); \ if (!(sl)->header->forward[0] && (sl)->last) \ assert(0); \ } while (0) #else #define CHECKLAST(sl) #endif static int randomLevel(void) { register int level = 0; register int b; do { if (randomsLeft <= 0) { randomBits = frr_weak_random(); randomsLeft = BitsInRandom / 2; } b = randomBits & 3; randomBits >>= 2; --randomsLeft; if (!b) { level++; if (level >= MaxLevel) return MaxLevel; } } while (!b); return level; } static int default_cmp(const void *key1, const void *key2) { if (key1 < key2) return -1; if (key1 > key2) return 1; return 0; } unsigned int skiplist_count(struct skiplist *l) { return l->count; } struct skiplist *skiplist_new(int flags, int (*cmp)(const void *key1, const void *key2), void (*del)(void *val)) { struct skiplist *new; new = XCALLOC(MTYPE_SKIP_LIST, sizeof(struct skiplist)); assert(new); new->level = 0; new->count = 0; new->header = newNodeOfLevel(MaxNumberOfLevels); new->level_stats = newStatsOfLevel(MaxNumberOfLevels); new->flags = flags; if (cmp) new->cmp = cmp; else new->cmp = default_cmp; if (del) new->del = del; return new; } void skiplist_free(struct skiplist *l) { register struct skiplistnode *p, *q; p = l->header; do { q = p->forward[0]; if (l->del && p != l->header) (*l->del)(p->value); XFREE(MTYPE_SKIP_LIST_NODE, p); p = q; } while (p); XFREE(MTYPE_SKIP_LIST_STATS, l->level_stats); XFREE(MTYPE_SKIP_LIST, l); } int skiplist_insert(register struct skiplist *l, register void *key, register void *value) { register int k; struct skiplistnode *update[MaxNumberOfLevels]; register struct skiplistnode *p, *q; CHECKLAST(l); #ifdef SKIPLIST_DEBUG /* DEBUG */ if (!key) { flog_err(EC_LIB_DEVELOPMENT, "%s: key is 0, value is %p", __func__, value); } #endif p = l->header; k = l->level; do { while (q = p->forward[k], q && (*l->cmp)(q->key, key) < 0) p = q; update[k] = p; } while (--k >= 0); if (!(l->flags & SKIPLIST_FLAG_ALLOW_DUPLICATES) && q && ((*l->cmp)(q->key, key) == 0)) { return -1; } k = randomLevel(); assert(k >= 0); if (k > l->level) { k = ++l->level; update[k] = l->header; } q = newNodeOfLevel(k); q->key = key; q->value = value; #ifdef SKIPLIST_0TIMER_DEBUG q->flags = SKIPLIST_NODE_FLAG_INSERTED; /* debug */ #endif ++(l->level_stats[k]); #ifdef SKIPLIST_DEBUG zlog_debug("%s: incremented level_stats @%p:%d, now %d", __func__, l, k, l->level_stats[k]); #endif do { p = update[k]; q->forward[k] = p->forward[k]; p->forward[k] = q; } while (--k >= 0); /* * If this is the last item in the list, update the "last" pointer */ if (!q->forward[0]) { l->last = q; } ++(l->count); CHECKLAST(l); return 0; } int skiplist_delete(register struct skiplist *l, register void *key, register void *value) /* used only if duplicates allowed */ { register int k, m; struct skiplistnode *update[MaxNumberOfLevels]; register struct skiplistnode *p, *q; CHECKLAST(l); /* to make debugging easier */ for (k = 0; k < MaxNumberOfLevels; ++k) update[k] = NULL; p = l->header; k = m = l->level; do { while (q = p->forward[k], q && (*l->cmp)(q->key, key) < 0) p = q; update[k] = p; } while (--k >= 0); if (l->flags & SKIPLIST_FLAG_ALLOW_DUPLICATES) { while (q && ((*l->cmp)(q->key, key) == 0) && (q->value != value)) { int i; for (i = 0; i <= l->level; ++i) { if (update[i]->forward[i] == q) update[i] = q; } q = q->forward[0]; } } if (q && (*l->cmp)(q->key, key) == 0) { if (!(l->flags & SKIPLIST_FLAG_ALLOW_DUPLICATES) || (q->value == value)) { /* * found node to delete */ #ifdef SKIPLIST_0TIMER_DEBUG q->flags &= ~SKIPLIST_NODE_FLAG_INSERTED; #endif /* * If we are deleting the last element of the list, * update the list's "last" pointer. */ if (l->last == q) { if (update[0] == l->header) l->last = NULL; else l->last = update[0]; } for (k = 0; k <= m && (p = update[k])->forward[k] == q; k++) { p->forward[k] = q->forward[k]; } --(l->level_stats[k - 1]); #ifdef SKIPLIST_DEBUG zlog_debug("%s: decremented level_stats @%p:%d, now %d", __func__, l, k - 1, l->level_stats[k - 1]); #endif if (l->del) (*l->del)(q->value); XFREE(MTYPE_SKIP_LIST_NODE, q); while (l->header->forward[m] == NULL && m > 0) m--; l->level = m; CHECKLAST(l); --(l->count); return 0; } } CHECKLAST(l); return -1; } /* * Obtain first value matching "key". Unless SKIPLIST_FLAG_ALLOW_DUPLICATES * is set, this will also be the only value matching "key". * * Also set a cursor for use with skiplist_next_value. */ int skiplist_first_value(register struct skiplist *l, /* in */ register const void *key, /* in */ void **valuePointer, /* out */ void **cursor) /* out */ { register int k; register struct skiplistnode *p, *q; p = l->header; k = l->level; do { while (q = p->forward[k], q && (*l->cmp)(q->key, key) < 0) p = q; } while (--k >= 0); if (!q || (*l->cmp)(q->key, key)) return -1; if (valuePointer) *valuePointer = q->value; if (cursor) *cursor = q; return 0; } int skiplist_search(register struct skiplist *l, register void *key, void **valuePointer) { return skiplist_first_value(l, key, valuePointer, NULL); } /* * Caller supplies key and value of an existing item in the list. * Function returns the value of the next list item that has the * same key (useful when SKIPLIST_FLAG_ALLOW_DUPLICATES is set). * * Returns 0 on success. If the caller-supplied key and value * do not correspond to a list element, or if they specify the * last element with the given key, -1 is returned. */ int skiplist_next_value(register struct skiplist *l, /* in */ register const void *key, /* in */ void **valuePointer, /* in/out */ void **cursor) /* in/out */ { register int k; register struct skiplistnode *p, *q; CHECKLAST(l); if (!(l->flags & SKIPLIST_FLAG_ALLOW_DUPLICATES)) { return -1; } if (!cursor || !*cursor) { p = l->header; k = l->level; /* * Find matching key */ do { while (q = p->forward[k], q && (*l->cmp)(q->key, key) < 0) p = q; } while (--k >= 0); /* * Find matching value */ while (q && ((*l->cmp)(q->key, key) == 0) && (q->value != *valuePointer)) { q = q->forward[0]; } if (!q || ((*l->cmp)(q->key, key) != 0) || (q->value != *valuePointer)) { /* * No matching value */ CHECKLAST(l); return -1; } } else { q = (struct skiplistnode *)*cursor; } /* * Advance cursor */ q = q->forward[0]; /* * If we reached end-of-list or if the key is no longer the same, * then return error */ if (!q || ((*l->cmp)(q->key, key) != 0)) return -1; *valuePointer = q->value; if (cursor) *cursor = q; CHECKLAST(l); return 0; } int skiplist_first(register struct skiplist *l, void **keyPointer, void **valuePointer) { register struct skiplistnode *p; CHECKLAST(l); p = l->header->forward[0]; if (!p) return -1; if (keyPointer) *keyPointer = p->key; if (valuePointer) *valuePointer = p->value; CHECKLAST(l); return 0; } int skiplist_last(register struct skiplist *l, void **keyPointer, void **valuePointer) { CHECKLAST(l); if (l->last) { if (keyPointer) *keyPointer = l->last->key; if (valuePointer) *valuePointer = l->last->value; return 0; } return -1; } /* * true = empty */ int skiplist_empty(register struct skiplist *l) { CHECKLAST(l); if (l->last) return 0; return 1; } /* * Use this to walk the list. Caller sets *cursor to NULL to obtain * first element. Return value of 0 indicates valid cursor/element * returned, otherwise NULL cursor arg or EOL. */ int skiplist_next(register struct skiplist *l, /* in */ void **keyPointer, /* out */ void **valuePointer, /* out */ void **cursor) /* in/out */ { struct skiplistnode *p; if (!cursor) return -1; CHECKLAST(l); if (!*cursor) { p = l->header->forward[0]; } else { p = *cursor; p = p->forward[0]; } *cursor = p; if (!p) return -1; if (keyPointer) *keyPointer = p->key; if (valuePointer) *valuePointer = p->value; CHECKLAST(l); return 0; } int skiplist_delete_first(register struct skiplist *l) { register int k; register struct skiplistnode *p, *q; int nodelevel = 0; CHECKLAST(l); p = l->header; q = l->header->forward[0]; if (!q) return -1; for (k = l->level; k >= 0; --k) { if (p->forward[k] == q) { p->forward[k] = q->forward[k]; if ((k == l->level) && (p->forward[k] == NULL) && (l->level > 0)) --(l->level); if (!nodelevel) nodelevel = k; } } #ifdef SKIPLIST_0TIMER_DEBUG q->flags &= ~SKIPLIST_NODE_FLAG_INSERTED; #endif /* * If we are deleting the last element of the list, * update the list's "last" pointer. */ if (l->last == q) { l->last = NULL; } --(l->level_stats[nodelevel]); #ifdef SKIPLIST_DEBUG zlog_debug("%s: decremented level_stats @%p:%d, now %d", __func__, l, nodelevel, l->level_stats[nodelevel]); #endif if (l->del) (*l->del)(q->value); XFREE(MTYPE_SKIP_LIST_NODE, q); CHECKLAST(l); --(l->count); return 0; } void skiplist_debug(struct vty *vty, struct skiplist *l) { int i; if (!l) return; vty_out(vty, "Skiplist %p has max level %d\n", l, l->level); for (i = l->level; i >= 0; --i) vty_out(vty, " @%d: %d\n", i, l->level_stats[i]); } static void *scramble(int i) { uintptr_t result; result = (unsigned)(i & 0xff) << 24; result |= (unsigned)i >> 8; return (void *)result; } #define sampleSize 65536 void skiplist_test(struct vty *vty) { struct skiplist *l; register int i, k; void *keys[sampleSize]; void *v = NULL; zlog_debug("%s: entry", __func__); l = skiplist_new(SKIPLIST_FLAG_ALLOW_DUPLICATES, NULL, NULL); zlog_debug("%s: skiplist_new returned %p", __func__, l); for (i = 0; i < 4; i++) { for (k = 0; k < sampleSize; k++) { if (!(k % 1000)) { zlog_debug("%s: (%d:%d)", __func__, i, k); } // keys[k] = (void *)random(); keys[k] = scramble(k); if (skiplist_insert(l, keys[k], keys[k])) zlog_debug("error in insert #%d,#%d", i, k); } zlog_debug("%s: inserts done", __func__); for (k = 0; k < sampleSize; k++) { if (!(k % 1000)) zlog_debug("[%d:%d]", i, k); if (skiplist_search(l, keys[k], &v)) zlog_debug("error in search #%d,#%d", i, k); if (v != keys[k]) zlog_debug("search returned wrong value"); } for (k = 0; k < sampleSize; k++) { if (!(k % 1000)) zlog_debug("<%d:%d>", i, k); if (skiplist_delete(l, keys[k], keys[k])) zlog_debug("error in delete"); keys[k] = scramble(k ^ 0xf0f0f0f0); if (skiplist_insert(l, keys[k], keys[k])) zlog_debug("error in insert #%d,#%d", i, k); } for (k = 0; k < sampleSize; k++) { if (!(k % 1000)) zlog_debug("{%d:%d}", i, k); if (skiplist_delete_first(l)) zlog_debug("error in delete_first"); } } skiplist_free(l); }