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# bigint-mod-arith # bigint-mod-arith
Some extra functions to work with modular arithmetics using native JS (stage 3) implementation of BigInt. It can be used with Node.js (>=10.4.0) and [Web Browsers supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility). Some extra functions to work with modular arithmetics using native JS (stage 3) implementation of BigInt. It can be used
with Node.js (>=10.4.0) and [Web Browsers supporting
BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility).
If you are looking for a cryptographically secure random generator and for probale primes (generation and testing), you may be interested in [bigint-secrets](https://github.com/juanelas/bigint-secrets) If you are looking for a cryptographically secure random generator and for probale primes (generation and testing), you
may be interested in [bigint-secrets](https://github.com/juanelas/bigint-secrets)
_The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html)**_ _The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in
cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html)**_
Many platforms provide native support for cryptography, such as [webcrypto](https://w3c.github.io/webcrypto/Overview.html) or [node crypto](https://nodejs.org/dist/latest/docs/api/crypto.html). Many platforms provide native support for cryptography, such as
[webcrypto](https://w3c.github.io/webcrypto/Overview.html) or [node
crypto](https://nodejs.org/dist/latest/docs/api/crypto.html).
## Installation ## Installation
bigint-mod-arith is distributed as both an ES6 and a CJS module. bigint-mod-arith is distributed as both an ES6 and a CJS module.
The ES6 module is built for any [web browser supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility). The module only uses native javascript implementations and no polyfills had been applied. The ES6 module is built for any [web browser supporting
BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility).
The module only uses native javascript implementations and no polyfills had been applied.
The CJS module is built as a standard node module. The CJS module is built as a standard node module.
@ -20,32 +28,50 @@ bigint-mod-arith can be imported to your project with `npm`:
npm install bigint-mod-arith npm install bigint-mod-arith
``` ```
For web browsers, you can also [download the bundle from GitHub](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.mod.min.js) or just hotlink to it: For web browsers, you can also [download the bundle from
```html GitHub](https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.mod.min.js).
<script type="module" src="https://raw.githubusercontent.com/juanelas/bigint-mod-arith/master/dist/bigint-mod-arith-latest.browser.mod.min.js"></script>
```
## Usage examples ## Usage examples
With node js:
```javascript ```javascript
const bigintModArith = require('bigint-mod-arith'); const bigintModArith = require('bigint-mod-arith');
// Stage 3 BigInts with value 666 can be declared as BigInt('666') // Stage 3 BigInts with value 666 can be declared as BigInt('666')
// or the shorter no-linter-friendly new syntax 666n // or the shorter no-linter-friendly new syntax 666n
let a = BigInt('5'); let a = BigInt('5');
let b = BigInt('2'); let b = BigInt('2');
let n = BigInt('19'); let n = BigInt('19');
console.log(bigintModArith.modPow(a, b, n)); // prints 6 console.log(bigintModArith.modPow(a, b, n)); // prints 6
console.log(bigintModArith.modInv(BigInt('2'), BigInt('5'))); // prints 3 console.log(bigintModArith.modInv(BigInt('2'), BigInt('5'))); // prints 3
console.log(bigintModArith.modInv(BigInt('3'), BigInt('5'))); // prints 2 console.log(bigintModArith.modInv(BigInt('3'), BigInt('5'))); // prints 2
``` ```
From a browser, you can just load the module in a html page as:
```html
<script type="module">
import * as bigintModArith from 'bigint-mod-arith-latest.browser.mod.min.js';
// Stage 3 BigInts with value 666 can be declared as BigInt('666')
// or the shorter no-linter-friendly new syntax 666n
let a = BigInt('5');
let b = BigInt('2');
let n = BigInt('19');
console.log(bigintModArith.modPow(a, b, n)); // prints 6
console.log(bigintModArith.modInv(BigInt('2'), BigInt('5'))); // prints 3
console.log(bigintModArith.modInv(BigInt('3'), BigInt('5'))); // prints 2
</script>
```
# bigint-mod-arith JS Doc # bigint-mod-arith JS Doc
{{>main}} {{>main}}
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