2010-02-11 02:37:56 +08:00
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/*
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*******************************************************************************
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* Implementation of (2^1+,2) cuckoo hashing, where 2^1+ indicates that each
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* hash bucket contains 2^n cells, for n >= 1, and 2 indicates that two hash
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* functions are employed. The original cuckoo hashing algorithm was described
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* in:
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*
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* Pagh, R., F.F. Rodler (2004) Cuckoo Hashing. Journal of Algorithms
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* 51(2):122-144.
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*
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* Generalization of cuckoo hashing was discussed in:
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*
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* Erlingsson, U., M. Manasse, F. McSherry (2006) A cool and practical
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* alternative to traditional hash tables. In Proceedings of the 7th
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* Workshop on Distributed Data and Structures (WDAS'06), Santa Clara, CA,
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* January 2006.
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*
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* This implementation uses precisely two hash functions because that is the
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* fewest that can work, and supporting multiple hashes is an implementation
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* burden. Here is a reproduction of Figure 1 from Erlingsson et al. (2006)
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* that shows approximate expected maximum load factors for various
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* configurations:
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*
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* | #cells/bucket |
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* #hashes | 1 | 2 | 4 | 8 |
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* --------+-------+-------+-------+-------+
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* 1 | 0.006 | 0.006 | 0.03 | 0.12 |
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* 2 | 0.49 | 0.86 |>0.93< |>0.96< |
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* 3 | 0.91 | 0.97 | 0.98 | 0.999 |
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* 4 | 0.97 | 0.99 | 0.999 | |
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*
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* The number of cells per bucket is chosen such that a bucket fits in one cache
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* line. So, on 32- and 64-bit systems, we use (8,2) and (4,2) cuckoo hashing,
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* respectively.
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*
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******************************************************************************/
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2011-03-19 08:56:14 +08:00
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#define JEMALLOC_CKH_C_
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2010-02-12 06:45:59 +08:00
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#include "jemalloc/internal/jemalloc_internal.h"
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2010-02-11 02:37:56 +08:00
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/******************************************************************************/
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/* Function prototypes for non-inline static functions. */
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static bool ckh_grow(ckh_t *ckh);
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static void ckh_shrink(ckh_t *ckh);
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/******************************************************************************/
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/*
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* Search bucket for key and return the cell number if found; SIZE_T_MAX
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* otherwise.
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*/
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JEMALLOC_INLINE size_t
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ckh_bucket_search(ckh_t *ckh, size_t bucket, const void *key)
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{
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ckhc_t *cell;
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unsigned i;
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for (i = 0; i < (ZU(1) << LG_CKH_BUCKET_CELLS); i++) {
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cell = &ckh->tab[(bucket << LG_CKH_BUCKET_CELLS) + i];
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if (cell->key != NULL && ckh->keycomp(key, cell->key))
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return ((bucket << LG_CKH_BUCKET_CELLS) + i);
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}
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return (SIZE_T_MAX);
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}
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/*
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* Search table for key and return cell number if found; SIZE_T_MAX otherwise.
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*/
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JEMALLOC_INLINE size_t
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ckh_isearch(ckh_t *ckh, const void *key)
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{
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size_t hash1, hash2, bucket, cell;
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assert(ckh != NULL);
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ckh->hash(key, ckh->lg_curbuckets, &hash1, &hash2);
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/* Search primary bucket. */
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bucket = hash1 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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cell = ckh_bucket_search(ckh, bucket, key);
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if (cell != SIZE_T_MAX)
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return (cell);
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/* Search secondary bucket. */
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bucket = hash2 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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cell = ckh_bucket_search(ckh, bucket, key);
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return (cell);
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}
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JEMALLOC_INLINE bool
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ckh_try_bucket_insert(ckh_t *ckh, size_t bucket, const void *key,
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const void *data)
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{
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ckhc_t *cell;
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unsigned offset, i;
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/*
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* Cycle through the cells in the bucket, starting at a random position.
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* The randomness avoids worst-case search overhead as buckets fill up.
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*/
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2012-03-03 07:59:45 +08:00
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prng32(offset, LG_CKH_BUCKET_CELLS, ckh->prng_state, CKH_A, CKH_C);
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2010-02-11 02:37:56 +08:00
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for (i = 0; i < (ZU(1) << LG_CKH_BUCKET_CELLS); i++) {
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cell = &ckh->tab[(bucket << LG_CKH_BUCKET_CELLS) +
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((i + offset) & ((ZU(1) << LG_CKH_BUCKET_CELLS) - 1))];
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if (cell->key == NULL) {
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cell->key = key;
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cell->data = data;
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ckh->count++;
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return (false);
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}
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}
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return (true);
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}
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/*
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* No space is available in bucket. Randomly evict an item, then try to find an
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* alternate location for that item. Iteratively repeat this
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* eviction/relocation procedure until either success or detection of an
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* eviction/relocation bucket cycle.
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*/
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JEMALLOC_INLINE bool
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ckh_evict_reloc_insert(ckh_t *ckh, size_t argbucket, void const **argkey,
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void const **argdata)
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{
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const void *key, *data, *tkey, *tdata;
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ckhc_t *cell;
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size_t hash1, hash2, bucket, tbucket;
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unsigned i;
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bucket = argbucket;
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key = *argkey;
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data = *argdata;
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while (true) {
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/*
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* Choose a random item within the bucket to evict. This is
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* critical to correct function, because without (eventually)
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* evicting all items within a bucket during iteration, it
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* would be possible to get stuck in an infinite loop if there
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* were an item for which both hashes indicated the same
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* bucket.
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*/
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2012-03-03 07:59:45 +08:00
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prng32(i, LG_CKH_BUCKET_CELLS, ckh->prng_state, CKH_A, CKH_C);
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2010-02-11 02:37:56 +08:00
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cell = &ckh->tab[(bucket << LG_CKH_BUCKET_CELLS) + i];
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assert(cell->key != NULL);
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/* Swap cell->{key,data} and {key,data} (evict). */
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tkey = cell->key; tdata = cell->data;
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cell->key = key; cell->data = data;
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key = tkey; data = tdata;
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#ifdef CKH_COUNT
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ckh->nrelocs++;
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#endif
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/* Find the alternate bucket for the evicted item. */
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ckh->hash(key, ckh->lg_curbuckets, &hash1, &hash2);
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tbucket = hash2 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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if (tbucket == bucket) {
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tbucket = hash1 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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/*
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* It may be that (tbucket == bucket) still, if the
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* item's hashes both indicate this bucket. However,
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* we are guaranteed to eventually escape this bucket
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* during iteration, assuming pseudo-random item
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* selection (true randomness would make infinite
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* looping a remote possibility). The reason we can
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* never get trapped forever is that there are two
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* cases:
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*
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* 1) This bucket == argbucket, so we will quickly
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* detect an eviction cycle and terminate.
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* 2) An item was evicted to this bucket from another,
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* which means that at least one item in this bucket
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* has hashes that indicate distinct buckets.
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*/
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}
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/* Check for a cycle. */
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if (tbucket == argbucket) {
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*argkey = key;
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*argdata = data;
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return (true);
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}
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bucket = tbucket;
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if (ckh_try_bucket_insert(ckh, bucket, key, data) == false)
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return (false);
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}
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}
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JEMALLOC_INLINE bool
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ckh_try_insert(ckh_t *ckh, void const**argkey, void const**argdata)
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{
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size_t hash1, hash2, bucket;
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const void *key = *argkey;
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const void *data = *argdata;
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ckh->hash(key, ckh->lg_curbuckets, &hash1, &hash2);
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/* Try to insert in primary bucket. */
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bucket = hash1 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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if (ckh_try_bucket_insert(ckh, bucket, key, data) == false)
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return (false);
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/* Try to insert in secondary bucket. */
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bucket = hash2 & ((ZU(1) << ckh->lg_curbuckets) - 1);
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if (ckh_try_bucket_insert(ckh, bucket, key, data) == false)
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return (false);
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/*
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* Try to find a place for this item via iterative eviction/relocation.
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*/
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return (ckh_evict_reloc_insert(ckh, bucket, argkey, argdata));
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}
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/*
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* Try to rebuild the hash table from scratch by inserting all items from the
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* old table into the new.
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*/
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JEMALLOC_INLINE bool
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ckh_rebuild(ckh_t *ckh, ckhc_t *aTab)
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{
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size_t count, i, nins;
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const void *key, *data;
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count = ckh->count;
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ckh->count = 0;
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for (i = nins = 0; nins < count; i++) {
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if (aTab[i].key != NULL) {
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key = aTab[i].key;
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data = aTab[i].data;
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if (ckh_try_insert(ckh, &key, &data)) {
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ckh->count = count;
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return (true);
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}
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nins++;
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}
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}
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return (false);
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}
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static bool
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ckh_grow(ckh_t *ckh)
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{
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bool ret;
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ckhc_t *tab, *ttab;
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size_t lg_curcells;
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unsigned lg_prevbuckets;
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#ifdef CKH_COUNT
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ckh->ngrows++;
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#endif
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/*
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* It is possible (though unlikely, given well behaved hashes) that the
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* table will have to be doubled more than once in order to create a
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* usable table.
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*/
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lg_prevbuckets = ckh->lg_curbuckets;
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lg_curcells = ckh->lg_curbuckets + LG_CKH_BUCKET_CELLS;
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while (true) {
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2011-03-23 15:37:29 +08:00
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size_t usize;
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2010-02-11 02:37:56 +08:00
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lg_curcells++;
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2011-03-23 15:37:29 +08:00
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usize = sa2u(sizeof(ckhc_t) << lg_curcells, CACHELINE, NULL);
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if (usize == 0) {
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ret = true;
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goto RETURN;
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}
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tab = (ckhc_t *)ipalloc(usize, CACHELINE, true);
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2010-02-11 02:37:56 +08:00
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if (tab == NULL) {
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ret = true;
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goto RETURN;
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}
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/* Swap in new table. */
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ttab = ckh->tab;
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ckh->tab = tab;
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tab = ttab;
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ckh->lg_curbuckets = lg_curcells - LG_CKH_BUCKET_CELLS;
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if (ckh_rebuild(ckh, tab) == false) {
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idalloc(tab);
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break;
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}
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/* Rebuilding failed, so back out partially rebuilt table. */
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idalloc(ckh->tab);
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ckh->tab = tab;
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ckh->lg_curbuckets = lg_prevbuckets;
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}
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ret = false;
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RETURN:
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return (ret);
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}
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static void
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ckh_shrink(ckh_t *ckh)
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{
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ckhc_t *tab, *ttab;
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2011-03-23 15:37:29 +08:00
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size_t lg_curcells, usize;
|
2010-02-11 02:37:56 +08:00
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unsigned lg_prevbuckets;
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/*
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* It is possible (though unlikely, given well behaved hashes) that the
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* table rebuild will fail.
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*/
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lg_prevbuckets = ckh->lg_curbuckets;
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lg_curcells = ckh->lg_curbuckets + LG_CKH_BUCKET_CELLS - 1;
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2011-03-23 15:37:29 +08:00
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usize = sa2u(sizeof(ckhc_t) << lg_curcells, CACHELINE, NULL);
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if (usize == 0)
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return;
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tab = (ckhc_t *)ipalloc(usize, CACHELINE, true);
|
2010-02-11 02:37:56 +08:00
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if (tab == NULL) {
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/*
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* An OOM error isn't worth propagating, since it doesn't
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* prevent this or future operations from proceeding.
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*/
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return;
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}
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/* Swap in new table. */
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ttab = ckh->tab;
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ckh->tab = tab;
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tab = ttab;
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ckh->lg_curbuckets = lg_curcells - LG_CKH_BUCKET_CELLS;
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if (ckh_rebuild(ckh, tab) == false) {
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idalloc(tab);
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#ifdef CKH_COUNT
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ckh->nshrinks++;
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#endif
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return;
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}
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/* Rebuilding failed, so back out partially rebuilt table. */
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idalloc(ckh->tab);
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ckh->tab = tab;
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ckh->lg_curbuckets = lg_prevbuckets;
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#ifdef CKH_COUNT
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ckh->nshrinkfails++;
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#endif
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}
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bool
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|
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ckh_new(ckh_t *ckh, size_t minitems, ckh_hash_t *hash, ckh_keycomp_t *keycomp)
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|
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{
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bool ret;
|
2011-03-23 15:37:29 +08:00
|
|
|
size_t mincells, usize;
|
2010-02-11 02:37:56 +08:00
|
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unsigned lg_mincells;
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assert(minitems > 0);
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assert(hash != NULL);
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|
assert(keycomp != NULL);
|
|
|
|
|
|
|
|
#ifdef CKH_COUNT
|
|
|
|
ckh->ngrows = 0;
|
|
|
|
ckh->nshrinks = 0;
|
|
|
|
ckh->nshrinkfails = 0;
|
|
|
|
ckh->ninserts = 0;
|
|
|
|
ckh->nrelocs = 0;
|
|
|
|
#endif
|
2012-03-03 07:59:45 +08:00
|
|
|
ckh->prng_state = 42; /* Value doesn't really matter. */
|
2010-02-11 02:37:56 +08:00
|
|
|
ckh->count = 0;
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Find the minimum power of 2 that is large enough to fit aBaseCount
|
|
|
|
* entries. We are using (2+,2) cuckoo hashing, which has an expected
|
|
|
|
* maximum load factor of at least ~0.86, so 0.75 is a conservative load
|
|
|
|
* factor that will typically allow 2^aLgMinItems to fit without ever
|
|
|
|
* growing the table.
|
|
|
|
*/
|
|
|
|
assert(LG_CKH_BUCKET_CELLS > 0);
|
|
|
|
mincells = ((minitems + (3 - (minitems % 3))) / 3) << 2;
|
|
|
|
for (lg_mincells = LG_CKH_BUCKET_CELLS;
|
|
|
|
(ZU(1) << lg_mincells) < mincells;
|
|
|
|
lg_mincells++)
|
|
|
|
; /* Do nothing. */
|
|
|
|
ckh->lg_minbuckets = lg_mincells - LG_CKH_BUCKET_CELLS;
|
|
|
|
ckh->lg_curbuckets = lg_mincells - LG_CKH_BUCKET_CELLS;
|
|
|
|
ckh->hash = hash;
|
|
|
|
ckh->keycomp = keycomp;
|
|
|
|
|
2011-03-23 15:37:29 +08:00
|
|
|
usize = sa2u(sizeof(ckhc_t) << lg_mincells, CACHELINE, NULL);
|
|
|
|
if (usize == 0) {
|
|
|
|
ret = true;
|
|
|
|
goto RETURN;
|
|
|
|
}
|
|
|
|
ckh->tab = (ckhc_t *)ipalloc(usize, CACHELINE, true);
|
2010-02-11 02:37:56 +08:00
|
|
|
if (ckh->tab == NULL) {
|
|
|
|
ret = true;
|
|
|
|
goto RETURN;
|
|
|
|
}
|
|
|
|
|
|
|
|
ret = false;
|
|
|
|
RETURN:
|
|
|
|
return (ret);
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
ckh_delete(ckh_t *ckh)
|
|
|
|
{
|
|
|
|
|
|
|
|
assert(ckh != NULL);
|
|
|
|
|
|
|
|
#ifdef CKH_VERBOSE
|
|
|
|
malloc_printf(
|
|
|
|
"%s(%p): ngrows: %"PRIu64", nshrinks: %"PRIu64","
|
|
|
|
" nshrinkfails: %"PRIu64", ninserts: %"PRIu64","
|
|
|
|
" nrelocs: %"PRIu64"\n", __func__, ckh,
|
|
|
|
(unsigned long long)ckh->ngrows,
|
|
|
|
(unsigned long long)ckh->nshrinks,
|
|
|
|
(unsigned long long)ckh->nshrinkfails,
|
|
|
|
(unsigned long long)ckh->ninserts,
|
|
|
|
(unsigned long long)ckh->nrelocs);
|
|
|
|
#endif
|
|
|
|
|
|
|
|
idalloc(ckh->tab);
|
|
|
|
#ifdef JEMALLOC_DEBUG
|
|
|
|
memset(ckh, 0x5a, sizeof(ckh_t));
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
size_t
|
|
|
|
ckh_count(ckh_t *ckh)
|
|
|
|
{
|
|
|
|
|
|
|
|
assert(ckh != NULL);
|
|
|
|
|
|
|
|
return (ckh->count);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_iter(ckh_t *ckh, size_t *tabind, void **key, void **data)
|
|
|
|
{
|
|
|
|
size_t i, ncells;
|
|
|
|
|
|
|
|
for (i = *tabind, ncells = (ZU(1) << (ckh->lg_curbuckets +
|
|
|
|
LG_CKH_BUCKET_CELLS)); i < ncells; i++) {
|
|
|
|
if (ckh->tab[i].key != NULL) {
|
|
|
|
if (key != NULL)
|
|
|
|
*key = (void *)ckh->tab[i].key;
|
|
|
|
if (data != NULL)
|
|
|
|
*data = (void *)ckh->tab[i].data;
|
|
|
|
*tabind = i + 1;
|
|
|
|
return (false);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return (true);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_insert(ckh_t *ckh, const void *key, const void *data)
|
|
|
|
{
|
|
|
|
bool ret;
|
|
|
|
|
|
|
|
assert(ckh != NULL);
|
|
|
|
assert(ckh_search(ckh, key, NULL, NULL));
|
|
|
|
|
|
|
|
#ifdef CKH_COUNT
|
|
|
|
ckh->ninserts++;
|
|
|
|
#endif
|
|
|
|
|
|
|
|
while (ckh_try_insert(ckh, &key, &data)) {
|
|
|
|
if (ckh_grow(ckh)) {
|
|
|
|
ret = true;
|
|
|
|
goto RETURN;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
ret = false;
|
|
|
|
RETURN:
|
|
|
|
return (ret);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_remove(ckh_t *ckh, const void *searchkey, void **key, void **data)
|
|
|
|
{
|
|
|
|
size_t cell;
|
|
|
|
|
|
|
|
assert(ckh != NULL);
|
|
|
|
|
|
|
|
cell = ckh_isearch(ckh, searchkey);
|
|
|
|
if (cell != SIZE_T_MAX) {
|
|
|
|
if (key != NULL)
|
|
|
|
*key = (void *)ckh->tab[cell].key;
|
|
|
|
if (data != NULL)
|
|
|
|
*data = (void *)ckh->tab[cell].data;
|
|
|
|
ckh->tab[cell].key = NULL;
|
|
|
|
ckh->tab[cell].data = NULL; /* Not necessary. */
|
|
|
|
|
|
|
|
ckh->count--;
|
|
|
|
/* Try to halve the table if it is less than 1/4 full. */
|
|
|
|
if (ckh->count < (ZU(1) << (ckh->lg_curbuckets
|
|
|
|
+ LG_CKH_BUCKET_CELLS - 2)) && ckh->lg_curbuckets
|
|
|
|
> ckh->lg_minbuckets) {
|
|
|
|
/* Ignore error due to OOM. */
|
|
|
|
ckh_shrink(ckh);
|
|
|
|
}
|
|
|
|
|
|
|
|
return (false);
|
|
|
|
}
|
|
|
|
|
|
|
|
return (true);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_search(ckh_t *ckh, const void *searchkey, void **key, void **data)
|
|
|
|
{
|
|
|
|
size_t cell;
|
|
|
|
|
|
|
|
assert(ckh != NULL);
|
|
|
|
|
|
|
|
cell = ckh_isearch(ckh, searchkey);
|
|
|
|
if (cell != SIZE_T_MAX) {
|
|
|
|
if (key != NULL)
|
|
|
|
*key = (void *)ckh->tab[cell].key;
|
|
|
|
if (data != NULL)
|
|
|
|
*data = (void *)ckh->tab[cell].data;
|
|
|
|
return (false);
|
|
|
|
}
|
|
|
|
|
|
|
|
return (true);
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
ckh_string_hash(const void *key, unsigned minbits, size_t *hash1, size_t *hash2)
|
|
|
|
{
|
|
|
|
size_t ret1, ret2;
|
|
|
|
uint64_t h;
|
|
|
|
|
|
|
|
assert(minbits <= 32 || (SIZEOF_PTR == 8 && minbits <= 64));
|
|
|
|
assert(hash1 != NULL);
|
|
|
|
assert(hash2 != NULL);
|
|
|
|
|
2012-03-06 04:26:26 +08:00
|
|
|
h = hash(key, strlen((const char *)key), UINT64_C(0x94122f335b332aea));
|
2010-02-11 02:37:56 +08:00
|
|
|
if (minbits <= 32) {
|
|
|
|
/*
|
|
|
|
* Avoid doing multiple hashes, since a single hash provides
|
|
|
|
* enough bits.
|
|
|
|
*/
|
|
|
|
ret1 = h & ZU(0xffffffffU);
|
|
|
|
ret2 = h >> 32;
|
|
|
|
} else {
|
|
|
|
ret1 = h;
|
|
|
|
ret2 = hash(key, strlen((const char *)key),
|
2012-03-06 04:26:26 +08:00
|
|
|
UINT64_C(0x8432a476666bbc13));
|
2010-02-11 02:37:56 +08:00
|
|
|
}
|
|
|
|
|
|
|
|
*hash1 = ret1;
|
|
|
|
*hash2 = ret2;
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_string_keycomp(const void *k1, const void *k2)
|
|
|
|
{
|
|
|
|
|
|
|
|
assert(k1 != NULL);
|
|
|
|
assert(k2 != NULL);
|
|
|
|
|
|
|
|
return (strcmp((char *)k1, (char *)k2) ? false : true);
|
|
|
|
}
|
|
|
|
|
|
|
|
void
|
|
|
|
ckh_pointer_hash(const void *key, unsigned minbits, size_t *hash1,
|
|
|
|
size_t *hash2)
|
|
|
|
{
|
|
|
|
size_t ret1, ret2;
|
|
|
|
uint64_t h;
|
2010-09-21 10:20:48 +08:00
|
|
|
union {
|
|
|
|
const void *v;
|
|
|
|
uint64_t i;
|
|
|
|
} u;
|
2010-02-11 02:37:56 +08:00
|
|
|
|
|
|
|
assert(minbits <= 32 || (SIZEOF_PTR == 8 && minbits <= 64));
|
|
|
|
assert(hash1 != NULL);
|
|
|
|
assert(hash2 != NULL);
|
|
|
|
|
2010-09-21 10:20:48 +08:00
|
|
|
assert(sizeof(u.v) == sizeof(u.i));
|
|
|
|
#if (LG_SIZEOF_PTR != LG_SIZEOF_INT)
|
|
|
|
u.i = 0;
|
|
|
|
#endif
|
|
|
|
u.v = key;
|
2012-03-06 04:26:26 +08:00
|
|
|
h = hash(&u.i, sizeof(u.i), UINT64_C(0xd983396e68886082));
|
2010-02-11 02:37:56 +08:00
|
|
|
if (minbits <= 32) {
|
|
|
|
/*
|
|
|
|
* Avoid doing multiple hashes, since a single hash provides
|
|
|
|
* enough bits.
|
|
|
|
*/
|
|
|
|
ret1 = h & ZU(0xffffffffU);
|
|
|
|
ret2 = h >> 32;
|
|
|
|
} else {
|
|
|
|
assert(SIZEOF_PTR == 8);
|
|
|
|
ret1 = h;
|
2012-03-06 04:26:26 +08:00
|
|
|
ret2 = hash(&u.i, sizeof(u.i), UINT64_C(0x5e2be9aff8709a5d));
|
2010-02-11 02:37:56 +08:00
|
|
|
}
|
|
|
|
|
|
|
|
*hash1 = ret1;
|
|
|
|
*hash2 = ret2;
|
|
|
|
}
|
|
|
|
|
|
|
|
bool
|
|
|
|
ckh_pointer_keycomp(const void *k1, const void *k2)
|
|
|
|
{
|
|
|
|
|
|
|
|
return ((k1 == k2) ? true : false);
|
|
|
|
}
|