int (*check)(TDB_DATA, TDB_DATA, void *),
void *private_data);
+static bool check_hash_chain(struct tdb_context *tdb,
+ tdb_off_t off,
+ uint64_t hash,
+ tdb_off_t used[],
+ size_t num_used,
+ size_t *num_found,
+ int (*check)(TDB_DATA, TDB_DATA, void *),
+ void *private_data)
+{
+ struct tdb_used_record rec;
+
+ if (tdb_read_convert(tdb, off, &rec, sizeof(rec)) == -1)
+ return false;
+
+ if (rec_data_length(&rec) != sizeof(struct tdb_chain)) {
+ tdb_logerr(tdb, TDB_ERR_CORRUPT, TDB_DEBUG_ERROR,
+ "tdb_check: Bad hash chain length %llu vs %zu",
+ (long long)rec_data_length(&rec),
+ sizeof(struct tdb_chain));
+ return false;
+ }
+ if (rec_key_length(&rec) != 0) {
+ tdb_logerr(tdb, TDB_ERR_CORRUPT, TDB_DEBUG_ERROR,
+ "tdb_check: Bad hash chain key length %llu",
+ (long long)rec_key_length(&rec));
+ return false;
+ }
+ if (rec_hash(&rec) != 2) {
+ tdb_logerr(tdb, TDB_ERR_CORRUPT, TDB_DEBUG_ERROR,
+ "tdb_check: Bad hash chain hash value %llu",
+ (long long)rec_hash(&rec));
+ return false;
+ }
+
+ off += sizeof(rec);
+ if (!check_hash_tree(tdb, off, 0, hash, 64,
+ used, num_used, num_found, check, private_data))
+ return false;
+
+ off = tdb_read_off(tdb, off + offsetof(struct tdb_chain, next));
+ if (off == TDB_OFF_ERR)
+ return false;
+ if (off == 0)
+ return true;
+ (*num_found)++;
+ return check_hash_chain(tdb, off, hash, used, num_used, num_found,
+ check, private_data);
+}
+
static bool check_hash_record(struct tdb_context *tdb,
tdb_off_t off,
uint64_t hprefix,
{
struct tdb_used_record rec;
+ if (hprefix_bits >= 64)
+ return check_hash_chain(tdb, off, hprefix, used, num_used,
+ num_found, check, private_data);
+
if (tdb_read_convert(tdb, off, &rec, sizeof(rec)) == -1)
return false;
*p ^= 1;
(*num_found)++;
+ if (hprefix_bits == 64) {
+ /* Chained entries are unordered. */
+ if (is_subhash(group[b])) {
+ tdb_logerr(tdb, TDB_ERR_CORRUPT,
+ TDB_DEBUG_ERROR,
+ "tdb_check: Invalid chain"
+ " entry subhash");
+ goto fail;
+ }
+ h = hash_record(tdb, off);
+ if (h != hprefix) {
+ tdb_logerr(tdb, TDB_ERR_CORRUPT,
+ TDB_DEBUG_ERROR,
+ "check: bad hash chain"
+ " placement"
+ " 0x%llx vs 0x%llx",
+ (long long)h,
+ (long long)hprefix);
+ goto fail;
+ }
+ if (tdb_read_convert(tdb, off, &rec,
+ sizeof(rec)))
+ goto fail;
+ goto check;
+ }
+
if (is_subhash(group[b])) {
uint64_t subprefix;
subprefix = (hprefix
goto fail;
}
+ check:
if (check) {
TDB_DATA key, data;
key.dsize = rec_key_length(&rec);
return bits(h->h, 64 - h->hash_used, num);
}
+static bool key_matches(struct tdb_context *tdb,
+ const struct tdb_used_record *rec,
+ tdb_off_t off,
+ const struct tdb_data *key)
+{
+ bool ret = false;
+ const char *rkey;
+
+ if (rec_key_length(rec) != key->dsize) {
+ add_stat(tdb, compare_wrong_keylen, 1);
+ return ret;
+ }
+
+ rkey = tdb_access_read(tdb, off + sizeof(*rec), key->dsize, false);
+ if (!rkey)
+ return ret;
+ if (memcmp(rkey, key->dptr, key->dsize) == 0)
+ ret = true;
+ else
+ add_stat(tdb, compare_wrong_keycmp, 1);
+ tdb_access_release(tdb, rkey);
+ return ret;
+}
+
/* Does entry match? */
static bool match(struct tdb_context *tdb,
struct hash_info *h,
tdb_off_t val,
struct tdb_used_record *rec)
{
- bool ret = false;
- const unsigned char *rkey;
tdb_off_t off;
add_stat(tdb, compares, 1);
/* Desired bucket must match. */
if (h->home_bucket != (val & TDB_OFF_HASH_GROUP_MASK)) {
add_stat(tdb, compare_wrong_bucket, 1);
- return ret;
+ return false;
}
/* Top bits of offset == next bits of hash. */
!= bits(h->h, 64 - h->hash_used - TDB_OFF_UPPER_STEAL_EXTRA,
TDB_OFF_UPPER_STEAL_EXTRA)) {
add_stat(tdb, compare_wrong_offsetbits, 1);
- return ret;
+ return false;
}
off = val & TDB_OFF_MASK;
if (tdb_read_convert(tdb, off, rec, sizeof(*rec)) == -1)
- return ret;
-
- if (rec_key_length(rec) != key->dsize) {
- add_stat(tdb, compare_wrong_keylen, 1);
- return ret;
- }
+ return false;
if ((h->h & ((1 << 11)-1)) != rec_hash(rec)) {
add_stat(tdb, compare_wrong_rechash, 1);
return false;
}
- rkey = tdb_access_read(tdb, off + sizeof(*rec), key->dsize, false);
- if (!rkey)
- return ret;
- if (memcmp(rkey, key->dptr, key->dsize) == 0)
- ret = true;
- else
- add_stat(tdb, compare_wrong_keycmp, 1);
- tdb_access_release(tdb, rkey);
- return ret;
+ return key_matches(tdb, rec, off, key);
}
static tdb_off_t hbucket_off(tdb_off_t group_start, unsigned bucket)
return group << (64 - (TDB_TOPLEVEL_HASH_BITS - TDB_HASH_GROUP_BITS));
}
+static tdb_off_t COLD find_in_chain(struct tdb_context *tdb,
+ struct tdb_data key,
+ tdb_off_t chain,
+ struct hash_info *h,
+ struct tdb_used_record *rec,
+ struct traverse_info *tinfo)
+{
+ tdb_off_t off, next;
+
+ /* In case nothing is free, we set these to zero. */
+ h->home_bucket = h->found_bucket = 0;
+
+ for (off = chain; off; off = next) {
+ unsigned int i;
+
+ h->group_start = off;
+ if (tdb_read_convert(tdb, off, h->group, sizeof(h->group)))
+ return TDB_OFF_ERR;
+
+ for (i = 0; i < (1 << TDB_HASH_GROUP_BITS); i++) {
+ tdb_off_t recoff;
+ if (!h->group[i]) {
+ /* Remember this empty bucket. */
+ h->home_bucket = h->found_bucket = i;
+ continue;
+ }
+
+ /* We can insert extra bits via add_to_hash
+ * empty bucket logic. */
+ recoff = h->group[i] & TDB_OFF_MASK;
+ if (tdb_read_convert(tdb, recoff, rec, sizeof(*rec)))
+ return TDB_OFF_ERR;
+
+ if (key_matches(tdb, rec, recoff, &key)) {
+ h->home_bucket = h->found_bucket = i;
+
+ if (tinfo) {
+ tinfo->levels[tinfo->num_levels]
+ .hashtable = off;
+ tinfo->levels[tinfo->num_levels]
+ .total_buckets
+ = 1 << TDB_HASH_GROUP_BITS;
+ tinfo->levels[tinfo->num_levels].entry
+ = i;
+ tinfo->num_levels++;
+ }
+ return recoff;
+ }
+ }
+ next = tdb_read_off(tdb, off
+ + offsetof(struct tdb_chain, next));
+ if (next == TDB_OFF_ERR)
+ return TDB_OFF_ERR;
+ if (next)
+ next += sizeof(struct tdb_used_record);
+ }
+ return 0;
+}
+
/* This is the core routine which searches the hashtable for an entry.
* On error, no locks are held and TDB_OFF_ERR is returned.
* Otherwise, hinfo is filled in (and the optional tinfo).
tinfo->levels[0].total_buckets = 1 << TDB_HASH_GROUP_BITS;
}
- while (likely(h->hash_used < 64)) {
+ while (h->hash_used <= 64) {
/* Read in the hash group. */
h->group_start = hashtable
+ group * (sizeof(tdb_off_t) << TDB_HASH_GROUP_BITS);
return 0;
}
- /* FIXME: We hit the bottom. Chain! */
- abort();
+ return find_in_chain(tdb, key, hashtable, h, rec, tinfo);
fail:
tdb_unlock_hashes(tdb, h->hlock_start, h->hlock_range, ltype);
encode_offset(new_off, h));
}
+/* We slot in anywhere that's empty in the chain. */
+static int COLD add_to_chain(struct tdb_context *tdb,
+ tdb_off_t subhash,
+ tdb_off_t new_off)
+{
+ size_t entry = tdb_find_zero_off(tdb, subhash, 1<<TDB_HASH_GROUP_BITS);
+
+ if (entry == 1 << TDB_HASH_GROUP_BITS) {
+ tdb_off_t next;
+
+ next = tdb_read_off(tdb, subhash
+ + offsetof(struct tdb_chain, next));
+ if (next == TDB_OFF_ERR)
+ return -1;
+
+ if (!next) {
+ next = alloc(tdb, 0, sizeof(struct tdb_chain), 2,
+ false);
+ if (next == TDB_OFF_ERR)
+ return -1;
+ if (zero_out(tdb, next+sizeof(struct tdb_used_record),
+ sizeof(struct tdb_chain)))
+ return -1;
+ if (tdb_write_off(tdb, subhash
+ + offsetof(struct tdb_chain, next),
+ next) != 0)
+ return -1;
+ }
+ return add_to_chain(tdb, next, new_off);
+ }
+
+ return tdb_write_off(tdb, subhash + entry * sizeof(tdb_off_t),
+ new_off);
+}
+
/* Add into a newly created subhash. */
static int add_to_subhash(struct tdb_context *tdb, tdb_off_t subhash,
unsigned hash_used, tdb_off_t val)
h.hash_used = hash_used;
- /* FIXME chain if hash_used == 64 */
if (hash_used + TDB_SUBLEVEL_HASH_BITS > 64)
- abort();
+ return add_to_chain(tdb, subhash, off);
h.h = hash_record(tdb, off);
gnum = use_bits(&h, TDB_SUBLEVEL_HASH_BITS-TDB_HASH_GROUP_BITS);
- h.group_start = subhash + sizeof(struct tdb_used_record)
+ h.group_start = subhash
+ gnum * (sizeof(tdb_off_t) << TDB_HASH_GROUP_BITS);
h.home_bucket = use_bits(&h, TDB_HASH_GROUP_BITS);
static int expand_group(struct tdb_context *tdb, struct hash_info *h)
{
- unsigned bucket, num_vals, i;
+ unsigned bucket, num_vals, i, hash;
+ size_t subsize;
tdb_off_t subhash;
tdb_off_t vals[1 << TDB_HASH_GROUP_BITS];
/* Attach new empty subhash under fullest bucket. */
bucket = fullest_bucket(tdb, h->group, h->home_bucket);
- subhash = alloc(tdb, 0, sizeof(tdb_off_t) << TDB_SUBLEVEL_HASH_BITS,
- 0, false);
+ if (h->hash_used == 64) {
+ add_stat(tdb, alloc_chain, 1);
+ subsize = sizeof(struct tdb_chain);
+ hash = 2;
+ } else {
+ add_stat(tdb, alloc_subhash, 1);
+ subsize = (sizeof(tdb_off_t) << TDB_SUBLEVEL_HASH_BITS);
+ hash = 0;
+ }
+
+ subhash = alloc(tdb, 0, subsize, hash, false);
if (subhash == TDB_OFF_ERR)
return -1;
- add_stat(tdb, alloc_subhash, 1);
- if (zero_out(tdb, subhash + sizeof(struct tdb_used_record),
- sizeof(tdb_off_t) << TDB_SUBLEVEL_HASH_BITS) == -1)
+ if (zero_out(tdb, subhash + sizeof(struct tdb_used_record), subsize))
return -1;
/* Remove any which are destined for bucket or are in wrong place. */
/* Overwrite expanded bucket with subhash pointer. */
h->group[bucket] = subhash | (1ULL << TDB_OFF_UPPER_STEAL_SUBHASH_BIT);
+ /* Point to actual contents of record. */
+ subhash += sizeof(struct tdb_used_record);
+
/* Put values back. */
for (i = 0; i < num_vals; i++) {
unsigned this_bucket = vals[i] & TDB_OFF_HASH_GROUP_MASK;
int add_to_hash(struct tdb_context *tdb, struct hash_info *h, tdb_off_t new_off)
{
- /* FIXME: chain! */
- if (h->hash_used >= 64)
- abort();
-
/* We hit an empty bucket during search? That's where it goes. */
if (!h->group[h->found_bucket]) {
h->group[h->found_bucket] = encode_offset(new_off, h);
h->group, sizeof(h->group));
}
+ if (h->hash_used > 64)
+ return add_to_chain(tdb, h->group_start, new_off);
+
/* We're full. Expand. */
if (expand_group(tdb, h) == -1)
return -1;
tlevel++;
tlevel->hashtable = off + sizeof(struct tdb_used_record);
tlevel->entry = 0;
- tlevel->total_buckets = (1 << TDB_SUBLEVEL_HASH_BITS);
+ /* Next level is a chain? */
+ if (unlikely(tinfo->num_levels == TDB_MAX_LEVELS + 1))
+ tlevel->total_buckets = (1 << TDB_HASH_GROUP_BITS);
+ else
+ tlevel->total_buckets = (1 << TDB_SUBLEVEL_HASH_BITS);
goto again;
}
if (tinfo->num_levels == 1)
return 0;
+ /* Handle chained entries. */
+ if (unlikely(tinfo->num_levels == TDB_MAX_LEVELS + 1)) {
+ tlevel->hashtable = tdb_read_off(tdb, tlevel->hashtable
+ + offsetof(struct tdb_chain,
+ next));
+ if (tlevel->hashtable == TDB_OFF_ERR)
+ return TDB_OFF_ERR;
+ if (tlevel->hashtable) {
+ tlevel->hashtable += sizeof(struct tdb_used_record);
+ tlevel->entry = 0;
+ goto again;
+ }
+ }
+
/* Go back up and keep searching. */
tinfo->num_levels--;
tlevel--;
#define TDB_SUBLEVEL_HASH_BITS 6
/* And 8 entries in each group, ie 8 groups per sublevel. */
#define TDB_HASH_GROUP_BITS 3
+/* This is currently 10: beyond this we chain. */
+#define TDB_MAX_LEVELS (1+(64-TDB_TOPLEVEL_HASH_BITS) / TDB_SUBLEVEL_HASH_BITS)
/* Extend file by least 100 times larger than needed. */
#define TDB_EXTENSION_FACTOR 100
uint64_t eof;
};
+/* If we bottom out of the subhashes, we chain. */
+struct tdb_chain {
+ tdb_off_t rec[1 << TDB_HASH_GROUP_BITS];
+ tdb_off_t next;
+};
+
/* this is stored at the front of every database */
struct tdb_header {
char magic_food[64]; /* for /etc/magic */
/* We ignore groups here, and treat it as a big array. */
unsigned entry;
unsigned int total_buckets;
- } levels[64 / TDB_SUBLEVEL_HASH_BITS];
+ } levels[TDB_MAX_LEVELS + 1];
unsigned int num_levels;
unsigned int toplevel_group;
/* This makes delete-everything-inside-traverse work as expected. */
struct tally *data,
struct tally *extra,
struct tally *uncoal,
- struct tally *buckets)
+ struct tally *buckets,
+ struct tally *chains)
{
tdb_off_t off;
tdb_len_t len;
+ rec_extra_padding(&p->u);
/* FIXME: Use different magic for hashes, flists. */
- if (!rec_key_length(&p->u) && rec_hash(&p->u) < 2) {
+ if (!rec_key_length(&p->u) && rec_hash(&p->u) < 3) {
if (rec_hash(&p->u) == 0) {
int count = count_hash(tdb,
off + sizeof(p->u),
if (count == -1)
return false;
tally_add(hashes, count);
- } else {
+ } else if (rec_hash(&p->u) == 1) {
tally_add(flists,
rec_data_length(&p->u));
+ } else if (rec_hash(&p->u) == 2) {
+ tally_add(chains, 1);
}
} else {
tally_add(keys, rec_key_length(&p->u));
"Smallest/average/largest uncoalesced runs: %zu/%zu/%zu\n%s" \
"Number of free lists: %zu\n%s" \
"Toplevel hash used: %u of %u\n" \
+ "Number of chains: %zu\n" \
"Number of subhashes: %zu\n" \
"Smallest/average/largest subhash entries: %zu/%zu/%zu\n%s" \
"Percentage keys/data/padding/free/rechdrs/freehdrs/hashes: %.0f/%.0f/%.0f/%.0f/%.0f/%.0f/%.0f\n"
{
tdb_len_t len;
struct tally *flists, *hashes, *freet, *keys, *data, *extra, *uncoal,
- *buckets;
+ *buckets, *chains;
char *hashesg, *freeg, *keysg, *datag, *extrag, *uncoalg, *bucketsg;
char *ret = NULL;
extra = tally_new(HISTO_HEIGHT);
uncoal = tally_new(HISTO_HEIGHT);
buckets = tally_new(HISTO_HEIGHT);
+ chains = tally_new(HISTO_HEIGHT);
if (!flists || !hashes || !freet || !keys || !data || !extra
- || !uncoal || !buckets) {
+ || !uncoal || !buckets || !chains) {
tdb_logerr(tdb, TDB_ERR_OOM, TDB_DEBUG_ERROR,
"tdb_summary: failed to allocate tally structures");
goto unlock;
}
if (!summarize(tdb, hashes, flists, freet, keys, data, extra, uncoal,
- buckets))
+ buckets, chains))
goto unlock;
if (flags & TDB_SUMMARY_HISTOGRAMS) {
count_hash(tdb, offsetof(struct tdb_header, hashtable),
TDB_TOPLEVEL_HASH_BITS),
1 << TDB_TOPLEVEL_HASH_BITS,
+ tally_num(chains),
tally_num(hashes),
tally_min(hashes), tally_mean(hashes), tally_max(hashes),
hashesg ? hashesg : "",
* 100.0 / tdb->map_size,
(tally_num(hashes)
* (sizeof(tdb_off_t) << TDB_SUBLEVEL_HASH_BITS)
- + (sizeof(tdb_off_t) << TDB_TOPLEVEL_HASH_BITS))
+ + (sizeof(tdb_off_t) << TDB_TOPLEVEL_HASH_BITS)
+ + sizeof(struct tdb_chain) * tally_num(chains))
* 100.0 / tdb->map_size);
unlock:
free(data);
free(extra);
free(uncoal);
+ free(chains);
tdb_allrecord_unlock(tdb, F_RDLCK);
tdb_unlock_expand(tdb, F_RDLCK);
size_t size; /* = sizeof(struct tdb_attribute_stats) */
uint64_t allocs;
uint64_t alloc_subhash;
+ uint64_t alloc_chain;
uint64_t alloc_bucket_exact;
uint64_t alloc_bucket_max;
uint64_t alloc_leftover;
--- /dev/null
+#include <ccan/tdb2/tdb.c>
+#include <ccan/tdb2/free.c>
+#include <ccan/tdb2/lock.c>
+#include <ccan/tdb2/io.c>
+#include <ccan/tdb2/hash.c>
+#include <ccan/tdb2/transaction.c>
+#include <ccan/tdb2/traverse.c>
+#include <ccan/tdb2/check.c>
+#include <ccan/tap/tap.h>
+#include "logging.h"
+
+static uint64_t badhash(const void *key, size_t len, uint64_t seed, void *priv)
+{
+ return 0;
+}
+
+static int trav(struct tdb_context *tdb, TDB_DATA key, TDB_DATA dbuf, void *p)
+{
+ if (p)
+ return tdb_delete(tdb, key);
+ return 0;
+}
+
+int main(int argc, char *argv[])
+{
+ unsigned int i, j;
+ struct tdb_context *tdb;
+ struct tdb_data key = { (unsigned char *)&j, sizeof(j) };
+ struct tdb_data dbuf = { (unsigned char *)&j, sizeof(j) };
+ union tdb_attribute hattr = { .hash = { .base = { TDB_ATTRIBUTE_HASH },
+ .hash_fn = badhash } };
+ int flags[] = { TDB_INTERNAL, TDB_DEFAULT, TDB_NOMMAP,
+ TDB_INTERNAL|TDB_CONVERT, TDB_CONVERT,
+ TDB_NOMMAP|TDB_CONVERT,
+ };
+
+ hattr.base.next = &tap_log_attr;
+
+ plan_tests(5395);
+ for (i = 0; i < sizeof(flags) / sizeof(flags[0]); i++) {
+ struct tdb_data d;
+
+ tdb = tdb_open("run-25-hashoverload.tdb", flags[i],
+ O_RDWR|O_CREAT|O_TRUNC, 0600, &hattr);
+ ok1(tdb);
+ if (!tdb)
+ continue;
+
+ /* Fill a group. */
+ for (j = 0; j < (1 << TDB_HASH_GROUP_BITS); j++) {
+ ok1(tdb_store(tdb, key, dbuf, TDB_INSERT) == 0);
+ }
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+
+ /* Now store one last value: should form chain. */
+ ok1(tdb_store(tdb, key, dbuf, TDB_INSERT) == 0);
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+
+ /* Check we can find them all. */
+ for (j = 0; j < (1 << TDB_HASH_GROUP_BITS) + 1; j++) {
+ d = tdb_fetch(tdb, key);
+ ok1(d.dsize == sizeof(j));
+ ok1(d.dptr != NULL);
+ ok1(d.dptr && memcmp(d.dptr, &j, d.dsize) == 0);
+ }
+
+ /* Now add a *lot* more. */
+ for (j = (1 << TDB_HASH_GROUP_BITS) + 1;
+ j < (16 << TDB_HASH_GROUP_BITS);
+ j++) {
+ ok1(tdb_store(tdb, key, dbuf, TDB_INSERT) == 0);
+ d = tdb_fetch(tdb, key);
+ ok1(d.dsize == sizeof(j));
+ ok1(d.dptr != NULL);
+ ok1(d.dptr && memcmp(d.dptr, &j, d.dsize) == 0);
+ }
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+
+ /* Traverse through them. */
+ ok1(tdb_traverse(tdb, trav, NULL) == j);
+
+ /* Empty the first chain-worth. */
+ for (j = 0; j < (1 << TDB_HASH_GROUP_BITS); j++)
+ ok1(tdb_delete(tdb, key) == 0);
+
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+
+ for (j = (1 << TDB_HASH_GROUP_BITS);
+ j < (16 << TDB_HASH_GROUP_BITS);
+ j++) {
+ d = tdb_fetch(tdb, key);
+ ok1(d.dsize == sizeof(j));
+ ok1(d.dptr != NULL);
+ ok1(d.dptr && memcmp(d.dptr, &j, d.dsize) == 0);
+ }
+
+ /* Traverse through them. */
+ ok1(tdb_traverse(tdb, trav, NULL)
+ == (15 << TDB_HASH_GROUP_BITS));
+
+ /* Re-add */
+ for (j = 0; j < (1 << TDB_HASH_GROUP_BITS); j++) {
+ ok1(tdb_store(tdb, key, dbuf, TDB_INSERT) == 0);
+ }
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+
+ /* Now try deleting as we go. */
+ ok1(tdb_traverse(tdb, trav, trav)
+ == (16 << TDB_HASH_GROUP_BITS));
+ ok1(tdb_check(tdb, NULL, NULL) == 0);
+ ok1(tdb_traverse(tdb, trav, NULL) == 0);
+ tdb_close(tdb);
+ }
+
+ ok1(tap_log_messages == 0);
+ return exit_status();
+}
td->high = val;
if (td->delete) {
-
if (tdb_delete(tdb, key) != 0) {
td->delete_error = tdb_error(tdb);
return -1;
(unsigned long long)stats->allocs);
printf(" alloc_subhash = %llu\n",
(unsigned long long)stats->alloc_subhash);
+ printf(" alloc_chain = %llu\n",
+ (unsigned long long)stats->alloc_chain);
printf(" alloc_bucket_exact = %llu\n",
(unsigned long long)stats->alloc_bucket_exact);
printf(" alloc_bucket_max = %llu\n",