BitAlign

Given two strings of bits, find how to best align them so that they have the most bits in common.

Installation: pip install bitalign

Examples

The following snippets show a conceptual string of 16 bits A = "0001001011111111" needs to shifted to the right by 5 in order to best line up with the string of 16 bits B = "1111100010010111", at which point they have 11 bits in common:

A =      0001001011111111
B = 1111100010010111

The only differences are how we decide to encode the bits into a list of integer.

>>> from bitalign import *

>>> # We can can treat bytes objects like b'\x12\xff' as bit arrays
>>> A = bytes([0b0001_0010, 0b1111_1111])
>>> B = bytes([0b1111_1000, 0b1001_0111])
>>> bitalign_8_msb(A, B)
(5, 11)

>>> # Reversing the bits in each byte --> use "lsb" method instead
>>> A = bytes([0b0100_1000, 0b1111_1111])
>>> B = bytes([0b0001_1111, 0b1110_1001])
>>> bitalign_8_lsb(A, B)
(5, 11)

>>> # numpy arrays also work, just make sure they have an appropriate dtype.
>>> import numpy as np
>>> A = np.array([0b0001001011111111], dtype=np.uint16)
>>> B = np.array([0b1111100010010111], dtype=np.uint16)
>>> bitalign_16_msb(A, B)
(5, 11)

>>> # Reverse bits in each uint64 --> use "lsb" method instead
>>> A = np.array([0b1111111101001000], dtype=np.uint16)
>>> B = np.array([0b1110100100011111], dtype=np.uint16)
>>> bitalign_16_lsb(A, B)
(5, 11)

>>> # Works on general pairs of c-contiguous buffer objects
>>> # numpy.array, array.array, bytes, bytearray, memoryview, etc.
>>> import array
>>> A = array.array('H', [0b0001001011111111])
>>> B = array.array('H', [0b1111100010010111])
>>> bitalign_16_msb(A, B)
(5, 11)

API

This bitalign package exposes 8 methods:

from bitalign import (
    bitalign_8_lsb,
    bitalign_16_lsb,
    bitalign_32_lsb,
    bitalign_64_lsb,
    bitalign_8_msb,
    bitalign_16_msb,
    bitalign_32_msb,
    bitalign_64_msb,
)

    bitalign_#_?sb(arr1, arr2) --> (shift_by, num_common_bits);

    Return a tuple (x, y) such that when arr1 is shifted by x bits,
    the number of bits in common between arr1 and arr2 is y.

    Positive shifts indicate that arr1 needs to be shifted toward the back:

        arr1 =                    -->  0001001011111111  -->
        arr2 =                    1111100010010111
        gives (shift_by=5, num_common_bits=11)

    Negative shifts indicate that arr1 needs to be shifted toward the front:

        arr1 =          <--  1111100010010111  <--
        arr2 =                    0001001011111111
        gives (shift_by=-5, num_common_bits=11)

    The number (8, 16, 32, or 64) in the function name the number of bits
    that must be in each array entry.  'lsb'/'msb' indicates whether the
    0th bit of each logical bit-array is to be stored in the least or most
    significant bit of arr[0].

    If more than one shift is optimal, the negative-most shift is used.
    If there are no bits in common (i.e., all zeros with all ones),
    then (-num_bits, 0) is returned.

Project links

Key dates

PyPI data
Data sourced directly from PyPI's database.
  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for sweeneyde from gravatar.com sweeneyde

Credits

Author: Dennis Sweeney

License

MIT License

Requires

Python >=3.6

Classifiers

Metadata

Project links

Key dates

PyPI data
Data sourced directly from PyPI's database.
  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for sweeneyde from gravatar.com sweeneyde

Credits

Author: Dennis Sweeney

License

MIT License

Requires

Python >=3.6

Classifiers

Release files for bitalign 0.4.0

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bitalign-0.4.0-pp39-pypy39_pp73-win_amd64.whl 16.4 kB Without provenance PyPy 3.9 PyPy 3.9 7.3 Windows x86-64 Details for bitalign-0.4.0-pp39-pypy39_pp73-win_amd64.whl
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bitalign-0.4.0-pp37-pypy37_pp73-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl 15.1 kB Without provenance PyPy 3.7 PyPy 3.7 7.3 Linux glibc 2.17+ x86-32, Linux glibc 2.5+ x86-32 Details for bitalign-0.4.0-pp37-pypy37_pp73-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
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bitalign-0.4.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 42.6 kB Without provenance CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64 Details for bitalign-0.4.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
bitalign-0.4.0-cp310-cp310-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl 41.4 kB Without provenance CPython 3.10 CPython 3.10 Linux glibc 2.5+ x86-32, Linux glibc 2.17+ x86-32 Details for bitalign-0.4.0-cp310-cp310-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
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bitalign-0.4.0-cp39-cp39-musllinux_1_1_x86_64.whl 46.5 kB Without provenance CPython 3.9 CPython 3.9 Linux musl 1.1+ x86-64 Details for bitalign-0.4.0-cp39-cp39-musllinux_1_1_x86_64.whl
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bitalign-0.4.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 42.5 kB Without provenance CPython 3.9 CPython 3.9 Linux glibc 2.17+ x86-64 Details for bitalign-0.4.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
bitalign-0.4.0-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl 41.2 kB Without provenance CPython 3.9 CPython 3.9 Linux glibc 2.5+ x86-32, Linux glibc 2.17+ x86-32 Details for bitalign-0.4.0-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
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