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JavaScript/Search/RabinKarp.js
Mahfoudh Arous d74f242ac4 Rabin Karp Search Algorithm (#1545)
* Search: Rabin-Karp algorithm

* Prettier Style

* Search: Rabin-Karp adding reference

* Search: Rabin-Karp styling and remove unecessary logging

* Search: Rabin-Karp review notes

* Simplify return

* Updated Documentation in README.md

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Co-authored-by: Lars Müller <34514239+appgurueu@users.noreply.github.com>
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
2023-10-30 11:00:31 +05:30

65 lines
2.2 KiB
JavaScript

/*
* Implements the Rabin-Karp algorithm for pattern searching.
*
* The Rabin-Karp algorithm is a string searching algorithm that uses hashing to find patterns in strings.
* It is faster than naive string matching algorithms because it avoids comparing every character in the text.
*
* This implementation uses a rolling hash function to efficiently compute the hash values of substrings.
* It also uses a modulo operator to reduce the size of the hash values, which helps to prevent hash collisions.
*
* The algorithm returns an array of indices where the pattern is found in the text. If the pattern is not
* found, the algorithm returns an empty array.
*
* [Reference](https://en.wikipedia.org/wiki/Rabin%E2%80%93Karp_algorithm)
*/
const BASE = 256 // The number of characters in the alphabet
const MOD = 997 // A prime number used for the hash function
function rabinKarpSearch(text, pattern) {
const patternLength = pattern.length
const textLength = text.length
const hashPattern = hash(pattern, patternLength)
const hashText = []
const indices = []
// Calculate the hash of the first substring in the text
hashText[0] = hash(text, patternLength)
// Precompute BASE^(patternLength-1) % MOD
const basePow = Math.pow(BASE, patternLength - 1) % MOD
for (let i = 1; i <= textLength - patternLength + 1; i++) {
// Update the rolling hash by removing the first character
// and adding the next character in the text
hashText[i] =
(BASE * (hashText[i - 1] - text.charCodeAt(i - 1) * basePow) +
text.charCodeAt(i + patternLength - 1)) %
MOD
// In case of hash collision, check character by character
if (hashText[i] < 0) {
hashText[i] += MOD
}
// Check if the hashes match and perform a character-wise comparison
if (hashText[i] === hashPattern) {
if (text.substring(i, i + patternLength) === pattern) {
indices.push(i) // Store the index where the pattern is found
}
}
}
return indices
}
function hash(str, length) {
let hashValue = 0
for (let i = 0; i < length; i++) {
hashValue = (hashValue * BASE + str.charCodeAt(i)) % MOD
}
return hashValue
}
export { rabinKarpSearch }