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Added Miller Rabin Primality Test #1321

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16 changes: 16 additions & 0 deletions .vscode/tasks.json
View file Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
{
"version": "2.0.0",
"tasks": [
{
"type": "npm",
"script": "test",
"group": {
"kind": "build",
"isDefault": true
},
"problemMatcher": [],
"label": "npm: test",
"detail": "jest"
}
]
}
69 changes: 69 additions & 0 deletions Maths/MilerRabinPrimalityTest.js
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/*
* 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++) {
const a = 2 + (Math.floor(Math.random() * (n - 2)) % (n - 4))
if (checkComposite(n, a, d, s)) {
return false
}
}
return true
}

export { MillerRabin }
16 changes: 15 additions & 1 deletion package-lock.json
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3 changes: 2 additions & 1 deletion package.json
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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",
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