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// Copyright 2015-2017 Vadim Nazarov, Johannes Köster.
// Licensed under the MIT license (http://opensource.org/licenses/MIT)
// This file may not be copied, modified, or distributed
// except according to those terms.
//! Various subroutines for computing a distance between sequences. Features
//! both scalar and efficient vectorized distance functions with SIMD.
use crate::utils::TextSlice;
/// Compute the Hamming distance between two strings. Complexity: O(n).
///
/// # Example
///
/// ```
/// use bio::alignment::distance::*;
///
/// let x = b"GTCTGCATGCG";
/// let y = b"TTTAGCTAGCG";
/// // GTCTGCATGCG
/// // | || |||
/// // TTTAGCTAGCG
/// assert_eq!(hamming(x, y), 5);
/// ```
pub fn hamming(alpha: TextSlice<'_>, beta: TextSlice<'_>) -> u64 {
assert_eq!(
alpha.len(),
beta.len(),
"hamming distance cannot be calculated for texts of different length ({}!={})",
alpha.len(),
beta.len()
);
let mut dist = 0;
for (a, b) in alpha.iter().zip(beta) {
if a != b {
dist += 1;
}
}
dist
}
/// Compute the Levenshtein (or Edit) distance between two strings. Complexity: O(n * m) with
/// n and m being the length of the given texts.
///
/// # Example
///
/// ```
/// use bio::alignment::distance::*;
///
/// let x = b"ACCGTGGAT";
/// let y = b"AAAAACCGTTGAT";
/// // ----ACCGTGGAT
/// // ||||| |||
/// // AAAAACCGTTGAT
/// let ldist = levenshtein(x, y); // Distance is 5
/// assert_eq!(ldist, 5);
/// ```
#[allow(unused_assignments)]
pub fn levenshtein(alpha: TextSlice<'_>, beta: TextSlice<'_>) -> u32 {
editdistancek::edit_distance(alpha, beta) as u32
}
pub mod simd {
//! String distance routines accelerated with Single Instruction Multiple Data (SIMD)
//! intrinsics.
//!
//! These routines will automatically fallback to scalar versions if AVX2 or SSE4.1 is
//! not supported by the CPU.
//!
//! With AVX2, SIMD-accelerated Hamming distance can reach up to 40 times faster than
//! the scalar version on strings that are long enough.
//!
//! The performance of SIMD-accelerated Levenshtein distance depends on the number of
//! edits between two strings, so it can perform anywhere from 2 times to nearly 1000
//! times faster than the scalar version. When the two strings are completely different,
//! there could be no speedup at all. It is important to note that the algorithms work
//! best when the number of edits is known to be small compared to the length of the
//! strings (for example, 10% difference). This should be applicable in many situations.
//!
//! If AVX2 support is not available, there is a speed penalty for using SSE4.1 with
//! smaller vectors.
use crate::utils::TextSlice;
use std::cmp::{max, min};
/// SIMD-accelerated Hamming distance between two strings. Complexity: O(n / w), for
/// SIMD vectors of length w (usually w = 16 or w = 32).
///
/// # Example
///
/// ```
/// use bio::alignment::distance::simd::*;
///
/// let x = b"GTCTGCATGCG";
/// let y = b"TTTAGCTAGCG";
/// // GTCTGCATGCG
/// // | || |||
/// // TTTAGCTAGCG
/// assert_eq!(hamming(x, y), 5);
/// ```
pub fn hamming(alpha: TextSlice<'_>, beta: TextSlice<'_>) -> u64 {
assert_eq!(
alpha.len(),
beta.len(),
"simd hamming distance cannot be calculated for texts of different length ({}!={})",
alpha.len(),
beta.len()
);
// triple_accel Hamming routine returns an u32
triple_accel::hamming(alpha, beta) as u64
}
/// SIMD-accelerated Levenshtein (or Edit) distance between two strings. Complexity:
/// O(k / w * (n + m)), with n and m being the length of the given texts, k being the
/// number of edits, and w being the length of the SIMD vectors (usually w = 16 or
/// w = 32).
///
/// Uses exponential search, which is approximately two times slower than the usual
/// O(n * m) implementation if the number of edits between the two strings is very large,
/// but much faster for cases where the edit distance is low (when less than half of the
/// characters in the strings differ).
///
/// # Example
///
/// ```
/// use bio::alignment::distance::simd::*;
///
/// let x = b"ACCGTGGAT";
/// let y = b"AAAAACCGTTGAT";
/// // ----ACCGTGGAT
/// // ||||| |||
/// // AAAAACCGTTGAT
/// let ldist = levenshtein(x, y); // Distance is 5
/// assert_eq!(ldist, 5);
/// ```
pub fn levenshtein(alpha: TextSlice<'_>, beta: TextSlice<'_>) -> u32 {
triple_accel::levenshtein_exp(alpha, beta)
}
/// SIMD-accelerated bounded Levenshtein (or Edit) distance between two strings.
/// Complexity: O(k / w * (n + m)), with n and m being the length of the given texts,
/// k being the threshold on the number of edits, and w being the length of the SIMD vectors
/// (usually w = 16 or w = 32).
///
/// If the Levenshtein distance between two strings is greater than the threshold k, then
/// `None` is returned. This is useful for efficiently calculating whether two strings
/// are similar.
///
/// # Example
///
/// ```
/// use bio::alignment::distance::simd::*;
///
/// let x = b"ACCGTGGAT";
/// let y = b"AAAAACCGTTGAT";
/// // ----ACCGTGGAT
/// // ||||| |||
/// // AAAAACCGTTGAT
/// let ldist = bounded_levenshtein(x, y, 5); // Distance is 5
/// assert_eq!(ldist, Some(5));
///
/// let ldist = bounded_levenshtein(x, y, 4); // Threshold too low!
/// assert_eq!(ldist, None);
/// ```
pub fn bounded_levenshtein(alpha: TextSlice<'_>, beta: TextSlice<'_>, k: u32) -> Option<u32> {
if let Some(x) = editdistancek::edit_distance_bounded(
alpha,
beta,
min(k as usize, max(alpha.len(), beta.len())),
) {
Some(x as u32)
} else {
None
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use std::u32;
#[test]
fn test_hamming_dist_good() {
let x = b"GTCTGCATGCG";
let y = b"TTTAGCTAGCG";
// GTCTGCATGCG
// | || |||
// TTTAGCTAGCG
assert_eq!(hamming(x, y), 5);
}
#[test]
fn test_simd_hamming_dist_good() {
let x = b"GTCTGCATGCG";
let y = b"TTTAGCTAGCG";
// GTCTGCATGCG
// | || |||
// TTTAGCTAGCG
assert_eq!(simd::hamming(x, y), 5);
}
#[test]
#[should_panic(
expected = "hamming distance cannot be calculated for texts of different length (11!=8)"
)]
fn test_hamming_dist_bad() {
let x = b"GACTATATCGA";
let y = b"TTTAGCTC";
hamming(x, y);
}
#[test]
#[should_panic(
expected = "simd hamming distance cannot be calculated for texts of different length (11!=8)"
)]
fn test_simd_hamming_dist_bad() {
let x = b"GACTATATCGA";
let y = b"TTTAGCTC";
simd::hamming(x, y);
}
#[test]
fn test_levenshtein_dist() {
let x = b"ACCGTGGAT";
let y = b"AAAAACCGTTGAT";
// ----ACCGTGGAT
// ||||| |||
// AAAAACCGTTGAT
assert_eq!(levenshtein(x, y), 5);
assert_eq!(levenshtein(x, y), levenshtein(y, x));
assert_eq!(levenshtein(b"AAA", b"TTTT"), 4);
assert_eq!(levenshtein(b"TTTT", b"AAA"), 4);
}
#[test]
fn test_simd_levenshtein_dist() {
let x = b"ACCGTGGAT";
let y = b"AAAAACCGTTGAT";
// ----ACCGTGGAT
// ||||| |||
// AAAAACCGTTGAT
assert_eq!(simd::levenshtein(x, y), 5);
assert_eq!(simd::levenshtein(x, y), simd::levenshtein(y, x));
assert_eq!(simd::levenshtein(b"AAA", b"TTTT"), 4);
assert_eq!(simd::levenshtein(b"TTTT", b"AAA"), 4);
}
#[test]
fn test_simd_bounded_levenshtein_dist() {
let x = b"ACCGTGGAT";
let y = b"AAAAACCGTTGAT";
// ----ACCGTGGAT
// ||||| |||
// AAAAACCGTTGAT
assert_eq!(simd::bounded_levenshtein(x, y, u32::MAX), Some(5));
assert_eq!(
simd::bounded_levenshtein(x, y, u32::MAX),
simd::bounded_levenshtein(y, x, u32::MAX)
);
assert_eq!(
simd::bounded_levenshtein(b"AAA", b"TTTT", u32::MAX),
Some(4)
);
assert_eq!(
simd::bounded_levenshtein(b"TTTT", b"AAA", u32::MAX),
Some(4)
);
}
}