diff options
Diffstat (limited to 'drivers/md/dm-vdo/int-map.c')
| -rw-r--r-- | drivers/md/dm-vdo/int-map.c | 707 |
1 files changed, 707 insertions, 0 deletions
diff --git a/drivers/md/dm-vdo/int-map.c b/drivers/md/dm-vdo/int-map.c new file mode 100644 index 0000000000..3aa438f84e --- /dev/null +++ b/drivers/md/dm-vdo/int-map.c @@ -0,0 +1,707 @@ +// SPDX-License-Identifier: GPL-2.0-only +/* + * Copyright 2023 Red Hat + */ + +/** + * DOC: + * + * Hash table implementation of a map from integers to pointers, implemented using the Hopscotch + * Hashing algorithm by Herlihy, Shavit, and Tzafrir (see + * http://en.wikipedia.org/wiki/Hopscotch_hashing). This implementation does not contain any of the + * locking/concurrency features of the algorithm, just the collision resolution scheme. + * + * Hopscotch Hashing is based on hashing with open addressing and linear probing. All the entries + * are stored in a fixed array of buckets, with no dynamic allocation for collisions. Unlike linear + * probing, all the entries that hash to a given bucket are stored within a fixed neighborhood + * starting at that bucket. Chaining is effectively represented as a bit vector relative to each + * bucket instead of as pointers or explicit offsets. + * + * When an empty bucket cannot be found within a given neighborhood, subsequent neighborhoods are + * searched, and one or more entries will "hop" into those neighborhoods. When this process works, + * an empty bucket will move into the desired neighborhood, allowing the entry to be added. When + * that process fails (typically when the buckets are around 90% full), the table must be resized + * and the all entries rehashed and added to the expanded table. + * + * Unlike linear probing, the number of buckets that must be searched in the worst case has a fixed + * upper bound (the size of the neighborhood). Those entries occupy a small number of memory cache + * lines, leading to improved use of the cache (fewer misses on both successful and unsuccessful + * searches). Hopscotch hashing outperforms linear probing at much higher load factors, so even + * with the increased memory burden for maintaining the hop vectors, less memory is needed to + * achieve that performance. Hopscotch is also immune to "contamination" from deleting entries + * since entries are genuinely removed instead of being replaced by a placeholder. + * + * The published description of the algorithm used a bit vector, but the paper alludes to an offset + * scheme which is used by this implementation. Since the entries in the neighborhood are within N + * entries of the hash bucket at the start of the neighborhood, a pair of small offset fields each + * log2(N) bits wide is all that's needed to maintain the hops as a linked list. In order to encode + * "no next hop" (i.e. NULL) as the natural initial value of zero, the offsets are biased by one + * (i.e. 0 => NULL, 1 => offset=0, 2 => offset=1, etc.) We can represent neighborhoods of up to 255 + * entries with just 8+8=16 bits per entry. The hop list is sorted by hop offset so the first entry + * in the list is always the bucket closest to the start of the neighborhood. + * + * While individual accesses tend to be very fast, the table resize operations are very, very + * expensive. If an upper bound on the latency of adding an entry to the table is needed, we either + * need to ensure the table is pre-sized to be large enough so no resize is ever needed, or we'll + * need to develop an approach to incrementally resize the table. + */ + +#include "int-map.h" + +#include <linux/minmax.h> + +#include "errors.h" +#include "logger.h" +#include "memory-alloc.h" +#include "numeric.h" +#include "permassert.h" + +#define DEFAULT_CAPACITY 16 /* the number of neighborhoods in a new table */ +#define NEIGHBORHOOD 255 /* the number of buckets in each neighborhood */ +#define MAX_PROBES 1024 /* limit on the number of probes for a free bucket */ +#define NULL_HOP_OFFSET 0 /* the hop offset value terminating the hop list */ +#define DEFAULT_LOAD 75 /* a compromise between memory use and performance */ + +/** + * struct bucket - hash bucket + * + * Buckets are packed together to reduce memory usage and improve cache efficiency. It would be + * tempting to encode the hop offsets separately and maintain alignment of key/value pairs, but + * it's crucial to keep the hop fields near the buckets that they use them so they'll tend to share + * cache lines. + */ +struct __packed bucket { + /** + * @first_hop: The biased offset of the first entry in the hop list of the neighborhood + * that hashes to this bucket. + */ + u8 first_hop; + /** @next_hop: The biased offset of the next bucket in the hop list. */ + u8 next_hop; + /** @key: The key stored in this bucket. */ + u64 key; + /** @value: The value stored in this bucket (NULL if empty). */ + void *value; +}; + +/** + * struct int_map - The concrete definition of the opaque int_map type. + * + * To avoid having to wrap the neighborhoods of the last entries back around to the start of the + * bucket array, we allocate a few more buckets at the end of the array instead, which is why + * capacity and bucket_count are different. + */ +struct int_map { + /** @size: The number of entries stored in the map. */ + size_t size; + /** @capacity: The number of neighborhoods in the map. */ + size_t capacity; + /* @bucket_count: The number of buckets in the bucket array. */ + size_t bucket_count; + /** @buckets: The array of hash buckets. */ + struct bucket *buckets; +}; + +/** + * mix() - The Google CityHash 16-byte hash mixing function. + * @input1: The first input value. + * @input2: The second input value. + * + * Return: A hash of the two inputs. + */ +static u64 mix(u64 input1, u64 input2) +{ + static const u64 CITY_MULTIPLIER = 0x9ddfea08eb382d69ULL; + u64 hash = (input1 ^ input2); + + hash *= CITY_MULTIPLIER; + hash ^= (hash >> 47); + hash ^= input2; + hash *= CITY_MULTIPLIER; + hash ^= (hash >> 47); + hash *= CITY_MULTIPLIER; + return hash; +} + +/** + * hash_key() - Calculate a 64-bit non-cryptographic hash value for the provided 64-bit integer + * key. + * @key: The mapping key. + * + * The implementation is based on Google's CityHash, only handling the specific case of an 8-byte + * input. + * + * Return: The hash of the mapping key. + */ +static u64 hash_key(u64 key) +{ + /* + * Aliasing restrictions forbid us from casting pointer types, so use a union to convert a + * single u64 to two u32 values. + */ + union { + u64 u64; + u32 u32[2]; + } pun = {.u64 = key}; + + return mix(sizeof(key) + (((u64) pun.u32[0]) << 3), pun.u32[1]); +} + +/** + * allocate_buckets() - Initialize an int_map. + * @map: The map to initialize. + * @capacity: The initial capacity of the map. + * + * Return: VDO_SUCCESS or an error code. + */ +static int allocate_buckets(struct int_map *map, size_t capacity) +{ + map->size = 0; + map->capacity = capacity; + + /* + * Allocate NEIGHBORHOOD - 1 extra buckets so the last bucket can have a full neighborhood + * without have to wrap back around to element zero. + */ + map->bucket_count = capacity + (NEIGHBORHOOD - 1); + return vdo_allocate(map->bucket_count, struct bucket, + "struct int_map buckets", &map->buckets); +} + +/** + * vdo_int_map_create() - Allocate and initialize an int_map. + * @initial_capacity: The number of entries the map should initially be capable of holding (zero + * tells the map to use its own small default). + * @map_ptr: Output, a pointer to hold the new int_map. + * + * Return: VDO_SUCCESS or an error code. + */ +int vdo_int_map_create(size_t initial_capacity, struct int_map **map_ptr) +{ + struct int_map *map; + int result; + size_t capacity; + + result = vdo_allocate(1, struct int_map, "struct int_map", &map); + if (result != VDO_SUCCESS) + return result; + + /* Use the default capacity if the caller did not specify one. */ + capacity = (initial_capacity > 0) ? initial_capacity : DEFAULT_CAPACITY; + + /* + * Scale up the capacity by the specified initial load factor. (i.e to hold 1000 entries at + * 80% load we need a capacity of 1250) + */ + capacity = capacity * 100 / DEFAULT_LOAD; + + result = allocate_buckets(map, capacity); + if (result != VDO_SUCCESS) { + vdo_int_map_free(vdo_forget(map)); + return result; + } + + *map_ptr = map; + return VDO_SUCCESS; +} + +/** + * vdo_int_map_free() - Free an int_map. + * @map: The int_map to free. + * + * NOTE: The map does not own the pointer values stored in the map and they are not freed by this + * call. + */ +void vdo_int_map_free(struct int_map *map) +{ + if (map == NULL) + return; + + vdo_free(vdo_forget(map->buckets)); + vdo_free(vdo_forget(map)); +} + +/** + * vdo_int_map_size() - Get the number of entries stored in an int_map. + * @map: The int_map to query. + * + * Return: The number of entries in the map. + */ +size_t vdo_int_map_size(const struct int_map *map) +{ + return map->size; +} + +/** + * dereference_hop() - Convert a biased hop offset within a neighborhood to a pointer to the bucket + * it references. + * @neighborhood: The first bucket in the neighborhood. + * @hop_offset: The biased hop offset to the desired bucket. + * + * Return: NULL if hop_offset is zero, otherwise a pointer to the bucket in the neighborhood at + * hop_offset - 1. + */ +static struct bucket *dereference_hop(struct bucket *neighborhood, unsigned int hop_offset) +{ + BUILD_BUG_ON(NULL_HOP_OFFSET != 0); + if (hop_offset == NULL_HOP_OFFSET) + return NULL; + + return &neighborhood[hop_offset - 1]; +} + +/** + * insert_in_hop_list() - Add a bucket into the hop list for the neighborhood. + * @neighborhood: The first bucket in the neighborhood. + * @new_bucket: The bucket to add to the hop list. + * + * The bucket is inserted it into the list so the hop list remains sorted by hop offset. + */ +static void insert_in_hop_list(struct bucket *neighborhood, struct bucket *new_bucket) +{ + /* Zero indicates a NULL hop offset, so bias the hop offset by one. */ + int hop_offset = 1 + (new_bucket - neighborhood); + + /* Handle the special case of adding a bucket at the start of the list. */ + int next_hop = neighborhood->first_hop; + + if ((next_hop == NULL_HOP_OFFSET) || (next_hop > hop_offset)) { + new_bucket->next_hop = next_hop; + neighborhood->first_hop = hop_offset; + return; + } + + /* Search the hop list for the insertion point that maintains the sort order. */ + for (;;) { + struct bucket *bucket = dereference_hop(neighborhood, next_hop); + + next_hop = bucket->next_hop; + + if ((next_hop == NULL_HOP_OFFSET) || (next_hop > hop_offset)) { + new_bucket->next_hop = next_hop; + bucket->next_hop = hop_offset; + return; + } + } +} + +/** + * select_bucket() - Select and return the hash bucket for a given search key. + * @map: The map to search. + * @key: The mapping key. + */ +static struct bucket *select_bucket(const struct int_map *map, u64 key) +{ + /* + * Calculate a good hash value for the provided key. We want exactly 32 bits, so mask the + * result. + */ + u64 hash = hash_key(key) & 0xFFFFFFFF; + + /* + * Scale the 32-bit hash to a bucket index by treating it as a binary fraction and + * multiplying that by the capacity. If the hash is uniformly distributed over [0 .. + * 2^32-1], then (hash * capacity / 2^32) should be uniformly distributed over [0 .. + * capacity-1]. The multiply and shift is much faster than a divide (modulus) on X86 CPUs. + */ + return &map->buckets[(hash * map->capacity) >> 32]; +} + +/** + * search_hop_list() - Search the hop list associated with given hash bucket for a given search + * key. + * @map: The map being searched. + * @bucket: The map bucket to search for the key. + * @key: The mapping key. + * @previous_ptr: Output. if not NULL, a pointer in which to store the bucket in the list preceding + * the one that had the matching key + * + * If the key is found, returns a pointer to the entry (bucket or collision), otherwise returns + * NULL. + * + * Return: An entry that matches the key, or NULL if not found. + */ +static struct bucket *search_hop_list(struct int_map *map __always_unused, + struct bucket *bucket, + u64 key, + struct bucket **previous_ptr) +{ + struct bucket *previous = NULL; + unsigned int next_hop = bucket->first_hop; + + while (next_hop != NULL_HOP_OFFSET) { + /* + * Check the neighboring bucket indexed by the offset for the + * desired key. + */ + struct bucket *entry = dereference_hop(bucket, next_hop); + + if ((key == entry->key) && (entry->value != NULL)) { + if (previous_ptr != NULL) + *previous_ptr = previous; + return entry; + } + next_hop = entry->next_hop; + previous = entry; + } + + return NULL; +} + +/** + * vdo_int_map_get() - Retrieve the value associated with a given key from the int_map. + * @map: The int_map to query. + * @key: The key to look up. + * + * Return: The value associated with the given key, or NULL if the key is not mapped to any value. + */ +void *vdo_int_map_get(struct int_map *map, u64 key) +{ + struct bucket *match = search_hop_list(map, select_bucket(map, key), key, NULL); + + return ((match != NULL) ? match->value : NULL); +} + +/** + * resize_buckets() - Increase the number of hash buckets. + * @map: The map to resize. + * + * Resizes and rehashes all the existing entries, storing them in the new buckets. + * + * Return: VDO_SUCCESS or an error code. + */ +static int resize_buckets(struct int_map *map) +{ + int result; + size_t i; + + /* Copy the top-level map data to the stack. */ + struct int_map old_map = *map; + + /* Re-initialize the map to be empty and 50% larger. */ + size_t new_capacity = map->capacity / 2 * 3; + + vdo_log_info("%s: attempting resize from %zu to %zu, current size=%zu", + __func__, map->capacity, new_capacity, map->size); + result = allocate_buckets(map, new_capacity); + if (result != VDO_SUCCESS) { + *map = old_map; + return result; + } + + /* Populate the new hash table from the entries in the old bucket array. */ + for (i = 0; i < old_map.bucket_count; i++) { + struct bucket *entry = &old_map.buckets[i]; + + if (entry->value == NULL) + continue; + + result = vdo_int_map_put(map, entry->key, entry->value, true, NULL); + if (result != VDO_SUCCESS) { + /* Destroy the new partial map and restore the map from the stack. */ + vdo_free(vdo_forget(map->buckets)); + *map = old_map; + return result; + } + } + + /* Destroy the old bucket array. */ + vdo_free(vdo_forget(old_map.buckets)); + return VDO_SUCCESS; +} + +/** + * find_empty_bucket() - Probe the bucket array starting at the given bucket for the next empty + * bucket, returning a pointer to it. + * @map: The map containing the buckets to search. + * @bucket: The bucket at which to start probing. + * @max_probes: The maximum number of buckets to search. + * + * NULL will be returned if the search reaches the end of the bucket array or if the number of + * linear probes exceeds a specified limit. + * + * Return: The next empty bucket, or NULL if the search failed. + */ +static struct bucket * +find_empty_bucket(struct int_map *map, struct bucket *bucket, unsigned int max_probes) +{ + /* + * Limit the search to either the nearer of the end of the bucket array or a fixed distance + * beyond the initial bucket. + */ + ptrdiff_t remaining = &map->buckets[map->bucket_count] - bucket; + struct bucket *sentinel = &bucket[min_t(ptrdiff_t, remaining, max_probes)]; + struct bucket *entry; + + for (entry = bucket; entry < sentinel; entry++) { + if (entry->value == NULL) + return entry; + } + + return NULL; +} + +/** + * move_empty_bucket() - Move an empty bucket closer to the start of the bucket array. + * @map: The map containing the bucket. + * @hole: The empty bucket to fill with an entry that precedes it in one of its enclosing + * neighborhoods. + * + * This searches the neighborhoods that contain the empty bucket for a non-empty bucket closer to + * the start of the array. If such a bucket is found, this swaps the two buckets by moving the + * entry to the empty bucket. + * + * Return: The bucket that was vacated by moving its entry to the provided hole, or NULL if no + * entry could be moved. + */ +static struct bucket *move_empty_bucket(struct int_map *map __always_unused, + struct bucket *hole) +{ + /* + * Examine every neighborhood that the empty bucket is part of, starting with the one in + * which it is the last bucket. No boundary check is needed for the negative array + * arithmetic since this function is only called when hole is at least NEIGHBORHOOD cells + * deeper into the array than a valid bucket. + */ + struct bucket *bucket; + + for (bucket = &hole[1 - NEIGHBORHOOD]; bucket < hole; bucket++) { + /* + * Find the entry that is nearest to the bucket, which means it will be nearest to + * the hash bucket whose neighborhood is full. + */ + struct bucket *new_hole = dereference_hop(bucket, bucket->first_hop); + + if (new_hole == NULL) { + /* + * There are no buckets in this neighborhood that are in use by this one + * (they must all be owned by overlapping neighborhoods). + */ + continue; + } + + /* + * Skip this bucket if its first entry is actually further away than the hole that + * we're already trying to fill. + */ + if (hole < new_hole) + continue; + + /* + * We've found an entry in this neighborhood that we can "hop" further away, moving + * the hole closer to the hash bucket, if not all the way into its neighborhood. + */ + + /* + * The entry that will be the new hole is the first bucket in the list, so setting + * first_hop is all that's needed remove it from the list. + */ + bucket->first_hop = new_hole->next_hop; + new_hole->next_hop = NULL_HOP_OFFSET; + + /* Move the entry into the original hole. */ + hole->key = new_hole->key; + hole->value = new_hole->value; + new_hole->value = NULL; + + /* Insert the filled hole into the hop list for the neighborhood. */ + insert_in_hop_list(bucket, hole); + return new_hole; + } + + /* We couldn't find an entry to relocate to the hole. */ + return NULL; +} + +/** + * update_mapping() - Find and update any existing mapping for a given key, returning the value + * associated with the key in the provided pointer. + * @map: The int_map to attempt to modify. + * @neighborhood: The first bucket in the neighborhood that would contain the search key + * @key: The key with which to associate the new value. + * @new_value: The value to be associated with the key. + * @update: Whether to overwrite an existing value. + * @old_value_ptr: a pointer in which to store the old value (unmodified if no mapping was found) + * + * Return: true if the map contains a mapping for the key, false if it does not. + */ +static bool update_mapping(struct int_map *map, struct bucket *neighborhood, + u64 key, void *new_value, bool update, void **old_value_ptr) +{ + struct bucket *bucket = search_hop_list(map, neighborhood, key, NULL); + + if (bucket == NULL) { + /* There is no bucket containing the key in the neighborhood. */ + return false; + } + + /* + * Return the value of the current mapping (if desired) and update the mapping with the new + * value (if desired). + */ + if (old_value_ptr != NULL) + *old_value_ptr = bucket->value; + if (update) + bucket->value = new_value; + return true; +} + +/** + * find_or_make_vacancy() - Find an empty bucket. + * @map: The int_map to search or modify. + * @neighborhood: The first bucket in the neighborhood in which an empty bucket is needed for a new + * mapping. + * + * Find an empty bucket in a specified neighborhood for a new mapping or attempt to re-arrange + * mappings so there is such a bucket. This operation may fail (returning NULL) if an empty bucket + * is not available or could not be relocated to the neighborhood. + * + * Return: a pointer to an empty bucket in the desired neighborhood, or NULL if a vacancy could not + * be found or arranged. + */ +static struct bucket *find_or_make_vacancy(struct int_map *map, + struct bucket *neighborhood) +{ + /* Probe within and beyond the neighborhood for the first empty bucket. */ + struct bucket *hole = find_empty_bucket(map, neighborhood, MAX_PROBES); + + /* + * Keep trying until the empty bucket is in the bucket's neighborhood or we are unable to + * move it any closer by swapping it with a filled bucket. + */ + while (hole != NULL) { + int distance = hole - neighborhood; + + if (distance < NEIGHBORHOOD) { + /* + * We've found or relocated an empty bucket close enough to the initial + * hash bucket to be referenced by its hop vector. + */ + return hole; + } + + /* + * The nearest empty bucket isn't within the neighborhood that must contain the new + * entry, so try to swap it with bucket that is closer. + */ + hole = move_empty_bucket(map, hole); + } + + return NULL; +} + +/** + * vdo_int_map_put() - Try to associate a value with an integer. + * @map: The int_map to attempt to modify. + * @key: The key with which to associate the new value. + * @new_value: The value to be associated with the key. + * @update: Whether to overwrite an existing value. + * @old_value_ptr: A pointer in which to store either the old value (if the key was already mapped) + * or NULL if the map did not contain the key; NULL may be provided if the caller + * does not need to know the old value + * + * Try to associate a value (a pointer) with an integer in an int_map. If the map already contains + * a mapping for the provided key, the old value is only replaced with the specified value if + * update is true. In either case the old value is returned. If the map does not already contain a + * value for the specified key, the new value is added regardless of the value of update. + * + * Return: VDO_SUCCESS or an error code. + */ +int vdo_int_map_put(struct int_map *map, u64 key, void *new_value, bool update, + void **old_value_ptr) +{ + struct bucket *neighborhood, *bucket; + + if (unlikely(new_value == NULL)) + return -EINVAL; + + /* + * Select the bucket at the start of the neighborhood that must contain any entry for the + * provided key. + */ + neighborhood = select_bucket(map, key); + + /* + * Check whether the neighborhood already contains an entry for the key, in which case we + * optionally update it, returning the old value. + */ + if (update_mapping(map, neighborhood, key, new_value, update, old_value_ptr)) + return VDO_SUCCESS; + + /* + * Find an empty bucket in the desired neighborhood for the new entry or re-arrange entries + * in the map so there is such a bucket. This operation will usually succeed; the loop body + * will only be executed on the rare occasions that we have to resize the map. + */ + while ((bucket = find_or_make_vacancy(map, neighborhood)) == NULL) { + int result; + + /* + * There is no empty bucket in which to put the new entry in the current map, so + * we're forced to allocate a new bucket array with a larger capacity, re-hash all + * the entries into those buckets, and try again (a very expensive operation for + * large maps). + */ + result = resize_buckets(map); + if (result != VDO_SUCCESS) + return result; + + /* + * Resizing the map invalidates all pointers to buckets, so recalculate the + * neighborhood pointer. + */ + neighborhood = select_bucket(map, key); + } + + /* Put the new entry in the empty bucket, adding it to the neighborhood. */ + bucket->key = key; + bucket->value = new_value; + insert_in_hop_list(neighborhood, bucket); + map->size += 1; + + /* There was no existing entry, so there was no old value to be returned. */ + if (old_value_ptr != NULL) + *old_value_ptr = NULL; + return VDO_SUCCESS; +} + +/** + * vdo_int_map_remove() - Remove the mapping for a given key from the int_map. + * @map: The int_map from which to remove the mapping. + * @key: The key whose mapping is to be removed. + * + * Return: the value that was associated with the key, or NULL if it was not mapped. + */ +void *vdo_int_map_remove(struct int_map *map, u64 key) +{ + void *value; + + /* Select the bucket to search and search it for an existing entry. */ + struct bucket *bucket = select_bucket(map, key); + struct bucket *previous; + struct bucket *victim = search_hop_list(map, bucket, key, &previous); + + if (victim == NULL) { + /* There is no matching entry to remove. */ + return NULL; + } + + /* + * We found an entry to remove. Save the mapped value to return later and empty the bucket. + */ + map->size -= 1; + value = victim->value; + victim->value = NULL; + victim->key = 0; + + /* The victim bucket is now empty, but it still needs to be spliced out of the hop list. */ + if (previous == NULL) { + /* The victim is the head of the list, so swing first_hop. */ + bucket->first_hop = victim->next_hop; + } else { + previous->next_hop = victim->next_hop; + } + + victim->next_hop = NULL_HOP_OFFSET; + return value; +} |