tvm
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A specialization of hash map that implements the idea of array-based hash map. Another reference implementation can be found [1]. More...
#include <map.h>
Public Member Functions | |
~DenseMapNode () | |
Destroy the DenseMapNode. More... | |
size_t | count (const key_type &key) const |
const mapped_type & | at (const key_type &key) const |
Index value associated with a key, throw exception if the key does not exist. More... | |
mapped_type & | at (const key_type &key) |
Index value associated with a key, throw exception if the key does not exist. More... | |
iterator | find (const key_type &key) const |
Index value associated with a key. More... | |
void | erase (const iterator &position) |
Erase the entry associated with the iterator. More... | |
iterator | begin () const |
iterator | end () const |
Public Member Functions inherited from tvm::runtime::MapNode | |
TVM_DECLARE_FINAL_OBJECT_INFO (MapNode, Object) | |
size_t | size () const |
Number of elements in the SmallMapNode. More... | |
size_t | count (const key_type &key) const |
Count the number of times a key exists in the hash map. More... | |
const mapped_type & | at (const key_type &key) const |
Index value associated with a key, throw exception if the key does not exist. More... | |
mapped_type & | at (const key_type &key) |
Index value associated with a key, throw exception if the key does not exist. More... | |
iterator | begin () const |
iterator | end () const |
iterator | find (const key_type &key) const |
Index value associated with a key. More... | |
void | erase (const iterator &position) |
Erase the entry associated with the iterator. More... | |
void | erase (const key_type &key) |
Erase the entry associated with the key, do nothing if not exists. More... | |
Public Member Functions inherited from tvm::runtime::Object | |
uint32_t | type_index () const |
std::string | GetTypeKey () const |
size_t | GetTypeKeyHash () const |
template<typename TargetType > | |
bool | IsInstance () const |
bool | unique () const |
Object () | |
Object (const Object &other) | |
Object (Object &&other) | |
Object & | operator= (const Object &other) |
Object & | operator= (Object &&other) |
Static Protected Member Functions | |
static uint64_t | NextProbeLocation (size_t index) |
Static Protected Member Functions inherited from tvm::runtime::MapNode | |
template<typename IterType > | |
static ObjectPtr< Object > | CreateFromRange (IterType first, IterType last) |
Create the map using contents from the given iterators. More... | |
static void | InsertMaybeReHash (const KVType &kv, ObjectPtr< Object > *map) |
InsertMaybeReHash an entry into the given hash map. More... | |
static ObjectPtr< MapNode > | CopyFrom (MapNode *from) |
Create an empty container with elements copying from another SmallMapNode. More... | |
Static Protected Member Functions inherited from tvm::runtime::Object | |
static uint32_t | GetOrAllocRuntimeTypeIndex (const std::string &key, uint32_t static_tindex, uint32_t parent_tindex, uint32_t type_child_slots, bool type_child_slots_can_overflow) |
Get the type index using type key. More... | |
Protected Attributes | |
uint32_t | fib_shift_ |
fib shift in Fibonacci Hashing More... | |
Block * | data_ |
array of data blocks More... | |
Protected Attributes inherited from tvm::runtime::MapNode | |
uint64_t | slots_ |
number of slots minus 1 More... | |
uint64_t | size_ |
number of entries in the container More... | |
Protected Attributes inherited from tvm::runtime::Object | |
uint32_t | type_index_ {0} |
Type index(tag) that indicates the type of the object. More... | |
RefCounterType | ref_counter_ {0} |
The internal reference counter. More... | |
FDeleter | deleter_ = nullptr |
deleter of this object to enable customized allocation. If the deleter is nullptr, no deletion will be performed. The creator of the object must always set the deleter field properly. More... | |
Friends | |
class | MapNode |
Additional Inherited Members | |
Public Types inherited from tvm::runtime::MapNode | |
using | key_type = ObjectRef |
Type of the keys in the hash map. More... | |
using | mapped_type = ObjectRef |
Type of the values in the hash map. More... | |
using | KVType = std::pair< ObjectRef, ObjectRef > |
Type of value stored in the hash map. More... | |
Public Types inherited from tvm::runtime::Object | |
typedef void(* | FDeleter) (Object *self) |
Object deleter. More... | |
using | RefCounterType = std::atomic< int32_t > |
Static Public Member Functions inherited from tvm::runtime::MapNode | |
static ObjectPtr< MapNode > | Empty () |
Create an empty container. More... | |
Static Public Member Functions inherited from tvm::runtime::Object | |
static std::string | TypeIndex2Key (uint32_t tindex) |
Get the type key of the corresponding index from runtime. More... | |
static size_t | TypeIndex2KeyHash (uint32_t tindex) |
Get the type key hash of the corresponding index from runtime. More... | |
static uint32_t | TypeKey2Index (const std::string &key) |
Get the type index of the corresponding key from runtime. More... | |
static uint32_t | _GetOrAllocRuntimeTypeIndex () |
static uint32_t | RuntimeTypeIndex () |
Static Public Attributes inherited from tvm::runtime::MapNode | |
static constexpr const uint32_t | _type_index = runtime::TypeIndex::kRuntimeMap |
static constexpr const char * | _type_key = "Map" |
Static Public Attributes inherited from tvm::runtime::Object | |
static constexpr const char * | _type_key = "runtime.Object" |
static constexpr bool | _type_final = false |
static constexpr uint32_t | _type_child_slots = 0 |
static constexpr bool | _type_child_slots_can_overflow = true |
static constexpr bool | _type_has_method_visit_attrs = true |
static constexpr bool | _type_has_method_sequal_reduce = false |
static constexpr bool | _type_has_method_shash_reduce = false |
static constexpr uint32_t | _type_index = TypeIndex::kDynamic |
Protected Member Functions inherited from tvm::runtime::Object | |
void | IncRef () |
developer function, increases reference counter. More... | |
void | DecRef () |
developer function, decrease reference counter. More... | |
A specialization of hash map that implements the idea of array-based hash map. Another reference implementation can be found [1].
A. Overview
DenseMapNode did several improvements over traditional separate chaining hash, in terms of cache locality, memory footprints and data organization.
A1. Implicit linked list. For better cache locality, instead of using linked list explicitly for each bucket, we store list data into a single array that spans contiguously in memory, and then carefully design access patterns to make sure most of them fall into a single cache line.
A2. 1-byte metadata. There is only 1 byte overhead for each slot in the array to indexing and traversal. This can be divided in 3 parts. 1) Reserved code: (0b11111111)_2 indicates a slot is empty; (0b11111110)_2 indicates protected, which means the slot is empty but not allowed to be written. 2) If not empty or protected, the highest bit is used to indicate whether data in the slot is head of a linked list. 3) The rest 7 bits are used as the "next pointer" (i.e. pointer to the next element). On 64-bit architecture, an ordinary pointer can take up to 8 bytes, which is not acceptable overhead when dealing with 16-byte ObjectRef pairs. Based on a commonly noticed fact that the lists are relatively short (length <= 3) in hash maps, we follow [1]'s idea that only allows the pointer to be one of the 126 possible values, i.e. if the next element of i-th slot is (i + x)-th element, then x must be one of the 126 pre-defined values.
A3. Data blocking. We organize the array in the way that every 16 elements forms a data block. The 16-byte metadata of those 16 elements are stored together, followed by the real data, i.e. 16 key-value pairs.
B. Implementation details
B1. Power-of-2 table size and Fibonacci Hashing. We use power-of-two as table size to avoid modulo for more efficient arithmetics. To make the hash-to-slot mapping distribute more evenly, we use the Fibonacci Hashing [2] trick.
B2. Traverse a linked list in the array. 1) List head. Assume Fibonacci Hashing maps a given key to slot i, if metadata at slot i indicates that it is list head, then we found the head; otherwise the list is empty. No probing is done in this procedure. 2) Next element. To find the next element of a non-empty slot i, we look at the last 7 bits of the metadata at slot i. If they are all zeros, then it is the end of list; otherwise, we know that the next element is (i + candidates[the-last-7-bits]).
B3. InsertMaybeReHash an element. Following B2, we first traverse the linked list to see if this element is in the linked list, and if not, we put it at the end by probing the next empty position in one of the 126 candidate positions. If the linked list does not even exist, but the slot for list head has been occupied by another linked list, we should find this intruder another place.
B4. Quadratic probing with triangle numbers. In open address hashing, it is provable that probing with triangle numbers can traverse power-of-2-sized table [3]. In our algorithm, we follow the suggestion in [1] that also use triangle numbers for "next pointer" as well as sparing for list head.
[1] https://github.com/skarupke/flat_hash_map [2] https://programmingpraxis.com/2018/06/19/fibonacci-hash/ [3] https://fgiesen.wordpress.com/2015/02/22/triangular-numbers-mod-2n/
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Destroy the DenseMapNode.
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Index value associated with a key, throw exception if the key does not exist.
key | The indexing key |
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Index value associated with a key, throw exception if the key does not exist.
key | The indexing key |
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Erase the entry associated with the iterator.
position | The iterator |
Index value associated with a key.
key | The indexing key |
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Candidates of probing distance
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array of data blocks
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fib shift in Fibonacci Hashing