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Arbitrary precision modular arithmetic, cryptographically secure random numbers and strong probable prime generation/testing.

It relies on the native JS implementation of (BigInt). It can be used by any Web Browser or webview supporting BigInt and with Node.js (>=10.4.0). The bundles can be imported directly by the browser or in Angular projects, React apps, Node.js, etc.

Secure random numbers are generated using the native crypto implementation of the browsers (Web Cryptography API) or Node.js Crypto). Strong probable prime generation and testing use Miller-Rabin primality tests and are automatically sped up using parallel workers both in browsers and Node.js.

The operations supported on BigInts are not constant time. BigInt can be therefore unsuitable for use in cryptography. Many platforms provide native support for cryptography, such as Web Cryptography API or Node.js Crypto.

Installation

{{PKG_NAME}} can be imported to your project with npm:

npm install {{PKG_NAME}}

NPM installation defaults to the ES6 module for browsers and the CJS one for Node.js. For web browsers, you can also directly download the {{IIFE_BUNDLE}} or the {{ESM_BUNDLE}} from the repository.

Usage examples

Import your module as :

Node.js

const bigintCryptoUtils = require('bigint-crypto-utils')
... // your code here

JavaScript native or TypeScript project (including React and Angular JS)
```
import * as bigintCryptoUtils from 'bigint-crypto-utils'
... // your code here
```
BigInt is ES-2020. In order to use it with TypeScript you should set lib (and probably also target and module) to esnext in tsconfig.json. {{PKG_NAME}} CANNOT BE POLYFILLED to suport older browsers. If you are using webpack/babel to create your production bundles, you should target only the most modern browsers. For instance, for React apps created with create-react-app, you should edit your package.json and modify the browserList so that it only targets the latest browsers (supporting the latest features):
```
"browserslist": {
  "production": [
    "last 1 chrome version",
    "last 1 firefox version",
    "last 1 safari version"
  ],
  "development": [
    "last 1 chrome version",
    "last 1 firefox version",
    "last 1 safari version"
  ]
}
```
Also, notice that BigInt is ES-2020. In order to use it with TypeScript you should set lib (and probably also target and module) to esnext in tsconfig.json.

JavaScript native browser ES module

<script type="module">
   import * as bigintCryptoUtils from 'lib/index.browser.bundle.mod.js'  // Use you actual path to the broser mod bundle
   ... // your code here
 </script>

JavaScript native browser IIFE

<head>
  ...
  <script src="../../lib/index.browser.bundle.js"></script> <!-- Use you actual path to the browser bundle -->
</head>
<body>
  ...
  <script>
    ... // your code here
  </script>
</body>

An example of usage could be:

/* A BigInt with value 666 can be declared calling the bigint constructor as 
BigInt('666') or with the shorter 666n.
Notice that you can also pass a number to the constructor, e.g. BigInt(666). 
However, it is not recommended since values over 2**53 - 1 won't be safe but 
no warning will be raised.
*/
const a = BigInt('5')
const b = BigInt('2')
const n = 19n

console.log(bigintCryptoUtils.modPow(a, b, n)) // prints 6

console.log(bigintCryptoUtils.modInv(2n, 5n)) // prints 3

console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))) // prints 2

console.log(bigintCryptoUtils.randBetween(2n ** 256n)) // Prints a cryptographically secure random number between 1 and 2**256 bits.

async function primeTesting () {
  // Output of a probable prime of 2048 bits
  console.log(await bigintCryptoUtils.prime(2048))

  // Testing if a number is a probable prime (Miller-Rabin)
  const number = 27n
  const isPrime = await bigintCryptoUtils.isProbablyPrime(number)
  if (isPrime) {
    console.log(`${number} is prime`)
  } else {
    console.log(`${number} is composite`)
  }
}

primeTesting()

You can find examples in the examples folder of the repository.

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{{PKG_NAME}}

Installation

Usage examples

API reference documentation

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