Skip to content

Added Miller Rabin Primality Test #1321

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
wants to merge 9 commits into
base: master
Choose a base branch
from
67 changes: 67 additions & 0 deletions Maths/MilerRabinPrimalityTest.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,67 @@
/*
* Author: Sundaram krishnan (https://github.com/sundaram123krishnan)
* Miller–Rabin primality test : https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test#:~:text=The%20Miller%E2%80%93Rabin%20primality%20test,the%20Solovay%E2%80%93Strassen%20primality%20test.
* Used to check whether given number is probably prime or not
* return true if the number is probably a prime
* else false
*/

/**
* @function MillerRabin
* @description -> Checking if a number is probably prime or not
* @param {number} number
* @returns {boolean} true if the number is prime, otherwise false
*/
const power = (base, exponent, modulus) => {
let result = 1
base %= modulus

while (exponent) {
if (exponent & 1) {
result = (result * base) % modulus
}
base = (base * base) % modulus
exponent >>= 1
}
return result
}

const checkComposite = (n, a, d, s) => {
let x = power(a, d, n)

if (x == 1 || x == n - 1) {
return false
}


for (let r = 1; r < s; r++) {
x = (x * x) % n
if (x == n - 1) {
return false
}
}
return true
}

const MillerRabin = (n, iter = 5) => {
if (n < 4) {
return n == 2 || n == 3
}

let s = 0

let d = n - 1

while ((d & 1) == 0) {
d >>= 1
s++
}

for (let i = 0; i < iter; i++) {
let a = 2 + (Math.floor(Math.random() * (n - 2)) % (n - 4))
if (checkComposite(n, a, d, s)) {
return false
}
}
return true
}
16 changes: 15 additions & 1 deletion package-lock.json

Some generated files are not rendered by default. Learn more about how customized files appear on GitHub.

3 changes: 2 additions & 1 deletion package.json
Original file line number Diff line number Diff line change
Expand Up @@ -14,7 +14,8 @@
"dependencies": {
"@babel/core": "^7.19.3",
"@babel/plugin-transform-runtime": "^7.19.1",
"@babel/preset-env": "^7.19.4"
"@babel/preset-env": "^7.19.4",
"format": "^0.2.2"
},
"devDependencies": {
"@babel/eslint-parser": "^7.19.1",
Expand Down