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Super-fast, efficiently stored Trie for Python (2.x and 3.x). Uses libdatrie.

Installation

pip install datrie

Usage

Create a new trie capable of storing items with lower-case ascii keys:

>>> import string
>>> import datrie
>>> trie = datrie.Trie(string.ascii_lowercase)

trie variable is a dict-like object that can have unicode keys of certain ranges and Python objects as values.

In addition to implementing the mapping interface, tries facilitate finding the items for a given prefix, and vice versa, finding the items whose keys are prefixes of a given string. As a common special case, finding the longest-prefix item is also supported.

Warning

For efficiency you must define allowed character range(s) while creating trie. datrie doesn't check if keys are in allowed ranges at runtime, so be careful! Invalid keys are OK at lookup time but values won't be stored correctly for such keys.

Add some values to it (datrie keys must be unicode; the examples are for Python 2.x):

>>> trie[u'foo'] = 5
>>> trie[u'foobar'] = 10
>>> trie[u'bar'] = 'bar value'
>>> trie.setdefault(u'foobar', 15)
10

Check if u'foo' is in trie:

>>> u'foo' in trie
True

Get a value:

>>> trie[u'foo']
5

Find all prefixes of a word:

>>> trie.prefixes(u'foobarbaz')
[u'foo', u'foobar']

>>> trie.prefix_items(u'foobarbaz')
[(u'foo', 5), (u'foobar', 10)]

>>> trie.iter_prefixes(u'foobarbaz')
<generator object ...>

>>> trie.iter_prefix_items(u'foobarbaz')
<generator object ...>

Find the longest prefix of a word:

>>> trie.longest_prefix(u'foo')
u'foo'

>>> trie.longest_prefix(u'foobarbaz')
u'foobar'

>>> trie.longest_prefix(u'gaz')
KeyError: u'gaz'

>>> trie.longest_prefix(u'gaz', default=u'vasia')
u'vasia'

>>> trie.longest_prefix_item(u'foobarbaz')
(u'foobar', 10)

Check if the trie has keys with a given prefix:

>>> trie.has_keys_with_prefix(u'fo')
True

>>> trie.has_keys_with_prefix(u'FO')
False

Get all items with a given prefix from a trie:

>>> trie.keys(u'fo')
[u'foo', u'foobar']

>>> trie.items(u'ba')
[(u'bar', 'bar value')]

>>> trie.values(u'foob')
[10]

Get all suffixes of certain word starting with a given prefix from a trie:

>>> trie.suffixes()
[u'pro', u'producer', u'producers', u'product', u'production', u'productivity', u'prof']
>>> trie.suffixes(u'prod')
[u'ucer', u'ucers', u'uct', u'uction', u'uctivity']

Save & load a trie (values must be picklable):

>>> trie.save('my.trie')
>>> trie2 = datrie.Trie.load('my.trie')

Trie and BaseTrie

There are two Trie classes in datrie package: datrie.Trie and datrie.BaseTrie. datrie.BaseTrie is slightly faster and uses less memory but it can store only integer numbers -2147483648 <= x <= 2147483647. datrie.Trie is a bit slower but can store any Python object as a value.

If you don't need values or integer values are OK then use datrie.BaseTrie:

import datrie
import string
trie = datrie.BaseTrie(string.ascii_lowercase)

Custom iteration

If the built-in trie methods don't fit you can use datrie.State and datrie.Iterator to implement custom traversal.

Note

If you use datrie.BaseTrie you need datrie.BaseState and datrie.BaseIterator for custom traversal.

For example, let's find all suffixes of 'fo' for our trie and get the values:

>>> state = datrie.State(trie)
>>> state.walk(u'foo')
>>> it = datrie.Iterator(state)
>>> while it.next():
...     print(it.key())
...     print(it.data))
o
5
obar
10

Performance

Performance is measured for datrie.Trie against Python's dict with 100k unique unicode words (English and Russian) as keys and '1' numbers as values.

datrie.Trie uses about 5M memory for 100k words; Python's dict uses about 22M for this according to my unscientific tests.

This trie implementation is 2-6 times slower than python's dict on __getitem__. Benchmark results (macbook air i5 1.8GHz, "1.000M ops/sec" == "1 000 000 operations per second"):

Python 2.6:
dict __getitem__: 7.107M ops/sec
trie __getitem__: 2.478M ops/sec

Python 2.7:
dict __getitem__: 6.550M ops/sec
trie __getitem__: 2.474M ops/sec

Python 3.2:
dict __getitem__: 8.185M ops/sec
trie __getitem__: 2.684M ops/sec

Python 3.3:
dict __getitem__: 7.050M ops/sec
trie __getitem__: 2.755M ops/sec

Looking for prefixes of a given word is almost as fast as __getitem__ (results are for Python 3.3):

trie.iter_prefix_items (hits):      0.461M ops/sec
trie.prefix_items (hits):           0.743M ops/sec
trie.prefix_items loop (hits):      0.629M ops/sec
trie.iter_prefixes (hits):          0.759M ops/sec
trie.iter_prefixes (misses):        1.538M ops/sec
trie.iter_prefixes (mixed):         1.359M ops/sec
trie.has_keys_with_prefix (hits):   1.896M ops/sec
trie.has_keys_with_prefix (misses): 2.590M ops/sec
trie.longest_prefix (hits):         1.710M ops/sec
trie.longest_prefix (misses):       1.506M ops/sec
trie.longest_prefix (mixed):        1.520M ops/sec
trie.longest_prefix_item (hits):    1.276M ops/sec
trie.longest_prefix_item (misses):  1.292M ops/sec
trie.longest_prefix_item (mixed):   1.379M ops/sec

Looking for all words starting with a given prefix is mostly limited by overall result count (this can be improved in future because a lot of time is spent decoding strings from utf_32_le to Python's unicode):

trie.items(prefix="xxx"), avg_len(res)==415:        0.609K ops/sec
trie.keys(prefix="xxx"), avg_len(res)==415:         0.642K ops/sec
trie.values(prefix="xxx"), avg_len(res)==415:       4.974K ops/sec
trie.items(prefix="xxxxx"), avg_len(res)==17:       14.781K ops/sec
trie.keys(prefix="xxxxx"), avg_len(res)==17:        15.766K ops/sec
trie.values(prefix="xxxxx"), avg_len(res)==17:      96.456K ops/sec
trie.items(prefix="xxxxxxxx"), avg_len(res)==3:     75.165K ops/sec
trie.keys(prefix="xxxxxxxx"), avg_len(res)==3:      77.225K ops/sec
trie.values(prefix="xxxxxxxx"), avg_len(res)==3:    320.755K ops/sec
trie.items(prefix="xxxxx..xx"), avg_len(res)==1.4:  173.591K ops/sec
trie.keys(prefix="xxxxx..xx"), avg_len(res)==1.4:   180.678K ops/sec
trie.values(prefix="xxxxx..xx"), avg_len(res)==1.4: 503.392K ops/sec
trie.items(prefix="xxx"), NON_EXISTING:             2023.647K ops/sec
trie.keys(prefix="xxx"), NON_EXISTING:              1976.928K ops/sec
trie.values(prefix="xxx"), NON_EXISTING:            2060.372K ops/sec

Random insert time is very slow compared to dict, this is the limitation of double-array tries; updates are quite fast. If you want to build a trie, consider sorting keys before the insertion:

dict __setitem__ (updates):            6.497M ops/sec
trie __setitem__ (updates):            2.633M ops/sec
dict __setitem__ (inserts, random):    5.808M ops/sec
trie __setitem__ (inserts, random):    0.053M ops/sec
dict __setitem__ (inserts, sorted):    5.749M ops/sec
trie __setitem__ (inserts, sorted):    0.624M ops/sec
dict setdefault (updates):             3.455M ops/sec
trie setdefault (updates):             1.910M ops/sec
dict setdefault (inserts):             3.466M ops/sec
trie setdefault (inserts):             0.053M ops/sec

Other results (note that len(trie) is currently implemented using trie traversal):

dict __contains__ (hits):    6.801M ops/sec
trie __contains__ (hits):    2.816M ops/sec
dict __contains__ (misses):  5.470M ops/sec
trie __contains__ (misses):  4.224M ops/sec
dict __len__:                334336.269 ops/sec
trie __len__:                22.900 ops/sec
dict values():               406.507 ops/sec
trie values():               20.864 ops/sec
dict keys():                 189.298 ops/sec
trie keys():                 2.773 ops/sec
dict items():                48.734 ops/sec
trie items():                2.611 ops/sec

Please take this benchmark results with a grain of salt; this is a very simple benchmark and may not cover your use case.

Current Limitations

  • keys must be unicode (no implicit conversion for byte strings under Python 2.x, sorry);
  • there are no iterator versions of keys/values/items (this is not implemented yet);
  • it is painfully slow and maybe buggy under pypy;
  • library is not tested with narrow Python builds.

Contributing

Development happens at github: https://github.com/pytries/datrie.

Feel free to submit ideas, bugs, pull requests.

Running tests and benchmarks

Make sure tox is installed and run

$ tox

from the source checkout. Tests should pass under Python 2.7 and 3.4+.

$ tox -c tox-bench.ini

runs benchmarks.

If you've changed anything in the source code then make sure cython is installed and run

$ update_c.sh

before each tox command.

Please note that benchmarks are not included in the release tar.gz's because benchmark data is large and this saves a lot of bandwidth; use source checkouts from github or bitbucket for the benchmarks.

Authors & Contributors

See https://github.com/pytries/datrie/graphs/contributors.

This module is based on libdatrie C library by Theppitak Karoonboonyanan and is inspired by fast_trie Ruby bindings, PyTrie pure Python implementation and Tree::Trie Perl implementation; some docs and API ideas are borrowed from these projects.

License

Licensed under LGPL v2.1.