doc: update hash guide
Updates hash library documentation, reflecting the new implementation changes. Signed-off-by: Pablo de Lara <pablo.de.lara.guarch@intel.com> Acked-by: Bruce Richardson <bruce.richardson@intel.com>
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.. BSD LICENSE
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Copyright(c) 2010-2014 Intel Corporation. All rights reserved.
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Copyright(c) 2010-2015 Intel Corporation. All rights reserved.
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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@ -50,8 +50,6 @@ The hash also allows the configuration of some low-level implementation related
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* Hash function to translate the key into a bucket index
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* Number of entries per bucket
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The main methods exported by the hash are:
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* Add entry with key: The key is provided as input. If a new entry is successfully added to the hash for the specified key,
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@ -65,10 +63,26 @@ The main methods exported by the hash are:
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* Lookup for entry with key: The key is provided as input. If an entry with the specified key is found in the hash (lookup hit),
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then the position of the entry is returned, otherwise (lookup miss) a negative value is returned.
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The current hash implementation handles the key management only.
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The actual data associated with each key has to be managed by the user using a separate table that
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Apart from these method explained above, the API allows the user three more options:
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* Add / lookup / delete with key and precomputed hash: Both the key and its precomputed hash are provided as input. This allows
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the user to perform these operations faster, as hash is already computed.
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* Add / lookup with key and data: A pair of key-value is provided as input. This allows the user to store
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not only the key, but also data which may be either a 8-byte integer or a pointer to external data (if data size is more than 8 bytes).
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* Combination of the two options above: User can provide key, precomputed hash and data.
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Also, the API contains a method to allow the user to look up entries in bursts, achieving higher performance
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than looking up individual entries, as the function prefetches next entries at the time it is operating
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with the first ones, which reduces significantly the impact of the necessary memory accesses.
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Notice that this method uses a pipeline of 8 entries (4 stages of 2 entries), so it is highly recommended
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to use at least 8 entries per burst.
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The actual data associated with each key can be either managed by the user using a separate table that
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mirrors the hash in terms of number of entries and position of each entry,
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as shown in the Flow Classification use case describes in the following sections.
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as shown in the Flow Classification use case describes in the following sections,
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or stored in the hash table itself.
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The example hash tables in the L2/L3 Forwarding sample applications defines which port to forward a packet to based on a packet flow identified by the five-tuple lookup.
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However, this table could also be used for more sophisticated features and provide many other functions and actions that could be performed on the packets and flows.
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@ -76,17 +90,26 @@ However, this table could also be used for more sophisticated features and provi
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Implementation Details
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----------------------
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The hash table is implemented as an array of entries which is further divided into buckets,
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with the same number of consecutive array entries in each bucket.
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For any input key, there is always a single bucket where that key can be stored in the hash,
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therefore only the entries within that bucket need to be examined when the key is looked up.
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The hash table has two main tables:
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* First table is an array of entries which is further divided into buckets,
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with the same number of consecutive array entries in each bucket. Each entry contains the computed primary
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and secondary hashes of a given key (explained below), and an index to the second table.
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* The second table is an array of all the keys stored in the hash table and its data associated to each key.
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The hash library uses the cuckoo hash method to resolve collisions.
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For any input key, there are two possible buckets (primary and secondary/alternative location)
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where that key can be stored in the hash, therefore only the entries within those bucket need to be examined
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when the key is looked up.
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The lookup speed is achieved by reducing the number of entries to be scanned from the total
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number of hash entries down to the number of entries in a hash bucket,
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number of hash entries down to the number of entries in the two hash buckets,
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as opposed to the basic method of linearly scanning all the entries in the array.
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The hash uses a hash function (configurable) to translate the input key into a 4-byte key signature.
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The bucket index is the key signature modulo the number of hash buckets.
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Once the bucket is identified, the scope of the hash add,
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delete and lookup operations is reduced to the entries in that bucket.
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Once the buckets are identified, the scope of the hash add,
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delete and lookup operations is reduced to the entries in those buckets (it is very likely that entries are in the primary bucket).
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To speed up the search logic within the bucket, each hash entry stores the 4-byte key signature together with the full key for each hash entry.
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For large key sizes, comparing the input key against a key from the bucket can take significantly more time than
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@ -95,6 +118,95 @@ Therefore, the signature comparison is done first and the full key comparison do
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The full key comparison is still necessary, as two input keys from the same bucket can still potentially have the same 4-byte hash signature,
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although this event is relatively rare for hash functions providing good uniform distributions for the set of input keys.
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Example of lookup:
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First of all, the primary bucket is identified and entry is likely to be stored there.
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If signature was stored there, we compare its key against the one provided and return the position
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where it was stored and/or the data associated to that key if there is a match.
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If signature is not in the primary bucket, the secondary bucket is looked up, where same procedure
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is carried out. If there is no match there either, key is considered not to be in the table.
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Example of addition:
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Like lookup, the primary and secondary buckets are indentified. If there is an empty slot in
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the primary bucket, primary and secondary signatures are stored in that slot, key and data (if any) are added to
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the second table and an index to the position in the second table is stored in the slot of the first table.
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If there is no space in the primary bucket, one of the entries on that bucket is pushed to its alternative location,
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and the key to be added is inserted in its position.
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To know where the alternative bucket of the evicted entry is, the secondary signature is looked up and alternative bucket index
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is calculated from doing the modulo, as seen above. If there is room in the alternative bucket, the evicted entry
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is stored in it. If not, same process is repeated (one of the entries gets pushed) until a non full bucket is found.
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Notice that despite all the entry movement in the first table, the second table is not touched, which would impact
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greatly in performance.
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In the very unlikely event that table enters in a loop where same entries are being evicted indefinitely,
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key is considered not able to be stored.
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With random keys, this method allows the user to get around 90% of the table utilization, without
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having to drop any stored entry (LRU) or allocate more memory (extended buckets).
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Entry distribution in hash table
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--------------------------------
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As mentioned above, Cuckoo hash implementation pushes elements out of their bucket,
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if there is a new entry to be added which primary location coincides with their current bucket,
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being pushed to their alternative location.
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Therefore, as user adds more entries to the hash table, distribution of the hash values
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in the buckets will change, being most of them in their primary location and a few in
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their secondary location, which the later will increase, as table gets busier.
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This information is quite useful, as performance may be lower as more entries
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are evicted to their secondary location.
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See the tables below showing example entry distribution as table utilization increases.
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.. _table_hash_lib_1:
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.. table:: Entry distribution measured with an example table with 1024 random entries using jhash algorithm
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+--------------+-----------------------+-------------------------+
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| % Table used | % In Primary location | % In Secondary location |
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+==============+=======================+=========================+
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| 25 | 100 | 0 |
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+--------------+-----------------------+-------------------------+
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| 50 | 96.1 | 3.9 |
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+--------------+-----------------------+-------------------------+
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| 75 | 88.2 | 11.8 |
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+--------------+-----------------------+-------------------------+
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| 80 | 86.3 | 13.7 |
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+--------------+-----------------------+-------------------------+
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| 85 | 83.1 | 16.9 |
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+--------------+-----------------------+-------------------------+
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| 90 | 77.3 | 22.7 |
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+--------------+-----------------------+-------------------------+
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| 95.8 | 64.5 | 35.5 |
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+--------------+-----------------------+-------------------------+
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.. _table_hash_lib_2:
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.. table:: Entry distribution measured with an example table with 1 million random entries using jhash algorithm
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+--------------+-----------------------+-------------------------+
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| % Table used | % In Primary location | % In Secondary location |
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+==============+=======================+=========================+
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| 50 | 96 | 4 |
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+--------------+-----------------------+-------------------------+
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| 75 | 86.9 | 13.1 |
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+--------------+-----------------------+-------------------------+
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| 80 | 83.9 | 16.1 |
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+--------------+-----------------------+-------------------------+
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| 85 | 80.1 | 19.9 |
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+--------------+-----------------------+-------------------------+
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| 90 | 74.8 | 25.2 |
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+--------------+-----------------------+-------------------------+
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| 94.5 | 67.4 | 32.6 |
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+--------------+-----------------------+-------------------------+
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.. note::
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Last values on the tables above are the average maximum table
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utilization with random keys and using Jenkins hash function.
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Use Case: Flow Classification
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-----------------------------
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@ -241,3 +241,7 @@ Programmer's Guide
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:numref:`table_qos_33` :ref:`table_qos_33`
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:numref:`table_qos_34` :ref:`table_qos_34`
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:numref:`table_hash_lib_1` :ref:`table_hash_lib_1`
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:numref:`table_hash_lib_2` :ref:`table_hash_lib_2`
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