QuickMers
Overview
QuickMers is a high-performance library for computing distances between k-mers (short DNA sequences), implemented in C with Python bindings. It provides fast functions for:
- Hamming distance – number of mismatches between equal-length sequences.
- Levenshtein (edit) distance – minimum number of insertions, deletions, or substitutions needed to transform one sequence into another.
The library leverages bitwise operations for Hamming distance and the Myers bit-parallel algorithm for edit distance. On systems with AVX2 instructions, computations are further accelerated.
Installation
Planned: Quickmers will be available on PyPI in the future.
Install using pip:
python -m pip install quickmers
or manually:
python setup.py install
Usage
import numpy as np
from quickmers import (
hamming_distance_array,
hamming_distance,
levenshtein_distance,
levenshtein_distance_array,
levenshtein_distance_array_with_min_dist
)
1. Hamming Distance
Signature:
hamming_distance(sequence1: str, sequence2: str) -> int
Compute the Hamming distance between two sequences of equal length.
d = hamming_distance("ACGT", "TCGA")
print(d) # Output: 2
2. Hamming Distance (array)
Signature
hamming_distance_array(query: str, targets: Union[List[str], np.ndarray]) -> np.ndarray
Compute Hamming distances between one query sequence and a list of target sequences.
query = "ACGT"
targets_list = ["ACGT", "TCGA", "CGTA"]
targets_array = np.array(targets_list, dtype=object)
distances1 = hamming_distance_array(query, targets_list)
distances2 = hamming_distance_array(query, targets_array)
print(distances1) # Output: array([0, 2, 4])
print(distances2) # Output: array([0, 2, 4])
3. Levenshtein Distance
Signature
levenshtein_distance(sequence1: str, sequence2: str) -> int
Compute the edit distance between two sequences.
d = levenshtein_distance("ACGT", "CGTA")
print(d) # Output: 2
4. Levenshtein Distance (array)
Signature
levenshtein_distance_array(query: str, targets: Union[List[str], np.ndarray]) -> np.ndarray
Compute edit distances between a query sequence and a list of sequences.
query = "ACGT"
targets = ["ACGT", "TCGA", "CGTA"]
distances = levenshtein_distance_array(query, targets)
print(distances) # Output: array([0, 2, 2])
5. Levenshtein Distance with Minimum Distance
Signature
levenshtein_distance_array_with_min_dist(query: str, targets: Union[List[str], np.ndarray], min_distance: int) -> Tuple[bool, List[Optional[int]]]
Compute the Levenshtein (edit) distance between a query k-mer and a list of target k-mers, with early exit if a minimum distance is violated.
This function is useful when you want to skip unnecessary calculations once a target is "too close" to the query, which can save significant computation time for long lists.
query = "ACGT"
targets = ["AGGG", "TCGA", "CGTA"]
early_exit, distances = levenshtein_distance_array_with_min_dist(query, targets, 1)
print(early_exit) # Output: False
print(distances) # Output: array([2, 2, 2])
Implementation Details
- Hamming distance: computed using bitwise operations on 64-bit integers for speed. The sequence length has to be 32 or lower.
- Levenshtein distance: implemented with Myers bit-parallel algorithm for rapid edit distance computation. The sequence length has to be 64 or lower.
- Array functions: can take Python lists or NumPy object arrays as input.
- AVX2 acceleration: if your CPU supports AVX2, internal loops are vectorized for faster computation.
- Memory management: all functions use efficient pre-allocated arrays to minimize Python overhead.
Performance
Benchmarking was performed on randomly generated k-mers of varying lengths. Values represent the number of string pairs distances calculated per second.
Benchmark Results
| Function | k=5 | k=10 | k=15 | k=20 | k=25 | k=30 |
|---|---|---|---|---|---|---|
hamming_distance |
9,505,940 | 9,192,009 | 8,866,906 | 8,555,942 | 8,249,809 | 7,946,207 |
hamming_distance_array |
49,038,568 | 47,807,278 | 44,236,469 | 38,861,603 | 35,788,375 | 33,238,156 |
levenshtein_distance |
7,499,375 | 6,407,775 | 5,797,060 | 5,131,730 | 4,688,698 | 4,267,584 |
levenshtein_distance_array |
26,354,634 | 20,227,311 | 16,396,735 | 13,399,246 | 11,772,501 | 10,360,021 |
Results may vary depending on CPU architecture, compiler optimizations, and whether AVX2 instructions are available.
References
[1] Gene Myers. 1999. A fast bit-vector algorithm for approximate string matching based on dynamic programming. J. ACM 46, 3 (May 1999), 395-415. https://doi.org/10.1145/316542.316550
License
This software is licensed under LGPL-3.0-or-later.
Copyright 2025 Alexander Schliep
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