How to Deal with Big Numbers in JavaScript

How to deal with big numbers in javascript

While looking for an big integer library for an ElGamal crypto implementation I tested several libraries with the following results:

I recommend this one: Tom Wu's jsbn.js (http://www-cs-students.stanford.edu/~tjw/jsbn/)

  • Comprehensive set of functions and fast

Leemon Baird's big integer library (http://www.leemon.com/crypto/BigInt.js)

  • Comprehensive set of functions and pretty fast
  • BUT: Negative number representation is buggy!

bignumber.js (https://github.com/MikeMcl/bignumber.js)

  • Pretty complete set of functions
  • BUT: Converting really big numbers from strings into BigNumber objects result in INFINITY

Scheme arithmetic library for JavaScript (https://github.com/jtobey/javascript-bignum)

  • JS-Implementation of Scheme arithmetic functions
  • BUT: No function for y= x^e mod n

I haven't tested this by myself: BigNumber (http://jsfromhell.com/classes/bignumber)

  • Functions for high precision claculations
  • BUT: It's said to be slow due to internal representation of numbers as strings

How to handle big numbers in Javascript?

Depending on your JS environment and compatibility requirements, you may have the new BigInt type available.

Docs: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt

If using only the latest and greatest isn't an option, there is at least one polyfill library out there

... or sure, you could represent it as a string as some commenters suggest, but it's awkward to do math with those strings.

Extremely large numbers in javascript

You are going to need a javascript based BigInteger library. There are many to choose from. Here is one https://github.com/peterolson/BigInteger.js

You can use it like this

var n = bigInt("91942213363574161572522430563301811072406154908250")
.plus("91942213363574161572522430563301811072406154908250");

How can I handle huge numbers with javascript / node?

You can use this library: https://github.com/MikeMcl/bignumber.js/

const BigNumber = require('bignumber.js');

let x = new BigNumber("12312312312312312312312311.000000000000000000000000000000");

console.log(x.minus("0.012012012012012012012012012013").toFixed())

Large numbers - Math in JavaScript

I would avoid using decimals. They have known issues with precision: http://floating-point-gui.de/


I would recommend using integers, though if you need to work with very large integers I would suggest using a big number or big integer library such as one of these:

  • http://jsfromhell.com/classes/bignumber
  • https://silentmatt.com/biginteger/

The downside is you have to use these number objects and their methods rather than the primitive Number type and standard JS operators, but you'll have a lot more flexibility with operating on large numbers.

Edit:

As le_m pointed out, another downside is speed. The library methods won't run as fast as the native operators. You'll have to test for yourself to see if the performance is acceptable.

Adding two big numbers in javascript

welcome to StackOverflow.

For doing operations with such big integers, you should use BigInt, it will correctly operate on integers bigger than 2ˆ53 (which is the largest size that normal Number can support on JS

const sum = BigInt(76561197960265728) + BigInt(912447736);

console.log(sum.toString());

Javascript - get very big number as string containing all digits

You could use toLocaleString method (with some options, if needed):

const s = Number.MAX_VALUE.toLocaleString(undefined, {  style: 'decimal',  useGrouping: false //Flip to true if you want to include commas});
console.log(s)


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