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https://github.com/mrecachinas/hexhamming

:heavy_division_sign: SIMD-accelerated bitwise hamming distance Python module for hexadecimal strings
https://github.com/mrecachinas/hexhamming

avx c edit-distance hamming-distance hexadecimal python simd sse42

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:heavy_division_sign: SIMD-accelerated bitwise hamming distance Python module for hexadecimal strings

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``hexhamming``
====================

|Pip|_ |Prs|_ |Github|_

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.. _Pip: https://badge.fury.io/py/hexhamming

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What does it do?
----------------

This module performs a fast bitwise hamming distance of two hexadecimal strings.

This looks like::

DEADBEEF = 11011110101011011011111011101111
00000000 = 00000000000000000000000000000000
XOR = 11011110101011011011111011101111
Hamming = number of ones in DEADBEEF ^ 00000000 = 24

This essentially amounts to

::

>>> import gmpy
>>> gmpy.popcount(0xdeadbeef ^ 0x00000000)
24

except with Python strings, so

::

>>> import gmpy
>>> gmpy.popcount(int("deadbeef", 16) ^ int("00000000", 16))
24

A few assumptions are made and enforced:

* this is a valid hexadecimal string (i.e., ``[a-fA-F0-9]+``)
* the strings are the same length
* the strings do not begin with ``"0x"``

Why yet another Hamming distance library?
-----------------------------------------

There are a lot of fantastic (python) libraries that offer methods to calculate
various edit distances, including Hamming distances: Distance, textdistance,
scipy, jellyfish, etc.

In this case, I needed a hamming distance library that worked on hexadecimal
strings (i.e., a Python ``str``) and performed blazingly fast.
Furthermore, I often did not care about hex strings greater than 256 bits.
That length constraint is different vs all the other libraries and enabled me
to explore vectorization techniques via ``numba``, ``numpy``, and
``SSE/AVX`` intrinsics.

Lastly, I wanted to minimize dependencies, meaning you do not need to install
``numpy``, ``gmpy``, ``cython``, ``pypy``, ``pythran``, etc.

Eventually, after playing around with ``gmpy.popcount``, ``numba.jit``,
``pythran.run``, ``numpy``, I decided to write what I wanted
in essentially raw C. At this point, I'm using raw ``char*`` and
``int*``, so exploring re-writing this in Fortran makes little sense.

Installation
-------------

To install, ensure you have Python 3.6+. Run

::

pip install hexhamming

or to install from source

::

git clone https://github.com/mrecachinas/hexhamming
cd hexhamming
python setup.py install # or pip install .

If you want to contribute to hexhamming, you should install the dev
dependencies

::

pip install -r requirements-dev.txt

and make sure the tests pass with

::

python -m pytest -vls .

Example
-------

Using ``hexhamming`` is as simple as

::

>>> from hexhamming import hamming_distance_string
>>> hamming_distance_string("deadbeef", "00000000")
24

**New in v2.0.0** : ``hexhamming`` now supports ``byte``s via ``hamming_distance_bytes``.
You use it in the exact same way as before, except you pass in a byte string.

::

>>> from hexhamming import hamming_distance_bytes
>>> hamming_distance_bytes(b"\xde\xad\xbe\xef", b"\x00\x00\x00\x00")
24

We also provide a method for a quick boolean check of whether two hexadecimal strings
are within a given Hamming distance.

::

>>> from hexhamming import check_hexstrings_within_dist
>>> check_hexstrings_within_dist("ffff", "fffe", 2)
True
>>> check_hexstrings_within_dist("ffff", "0000", 2)
False

Similarly, ``hexhamming`` supports byte arrays via ``check_bytes_arrays_within_dist``, which has
a similar API as ``check_hexstrings_within_dist``, except it expects a byte array. Additionally,
it will check if any element of a byte array is within a specified Hamming Distance of another
byte array.

Benchmark
---------

Below is a benchmark using ``pytest-benchmark`` with hexhamming==v1.3.2
my 2020 2.0 GHz quad-core Intel Core i5 16 GB 3733 MHz LPDDR4 macOS Catalina (10.15.5)
with Python 3.7.3 and Apple clang version 11.0.3 (clang-1103.0.32.62).

======================================= =========== ========== ============= ======== ============
Name Mean (ns) Std (ns) Median (ns) Rounds Iterations
======================================= =========== ========== ============= ======== ============
test_hamming_distance_bench_3 93.8 10.5 94.3 53268 200
test_hamming_distance_bench_3_same 94.2 15.2 94.9 102146 100
test_check_hexstrings_within_dist_bench 231.9 104.2 216.5 195122 22
test_hamming_distance_bench_256 97.5 34.1 94.0 195122 22
test_hamming_distance_bench_1000 489.8 159.4 477.5 94411 20
test_hamming_distance_bench_1000_same 497.8 87.8 496.6 18971 20
test_hamming_distance_bench_1024 509.9 299.5 506.7 18652 10
test_hamming_distance_bench_1024_same 467.4 205.9 450.4 181819 10
======================================= =========== ========== ============= ======== ============