break_infinity.js

A replacement for https://github.com/MikeMcl/decimal.js/ for incremental games which need to deal with very large numbers (bigger in magnitude than 1e308, up to as much as 1e9e15) and want to prioritize speed over accuracy.

If you want to prioritize accuracy over speed, please use decimal.js instead.

NEW:

• https://github.com/Razenpok/BreakInfinity.cs - C# port, for your C#/Unity incremental games
• https://github.com/Patashu/break_eternity.js - the sequel to break_infinity.js that goes to 10^^3, 10^^4, 10^^5 and far beyond

Load

The library is a single JavaScript file break_infinity.js (or minified, break_infinity.min.js) which can be found on https://github.com/Patashu/break_infinity.js/releases page.

It can be loaded using a script tag in an HTML document for the browser

    <script src="path/to/break_infinity.js"></script>

or as a JS module using import

    import Decimal from "break_infinity.js";

or as a Node.js module using require.

    var Decimal = require("break_infinity.js");

For the module approaches, the library is available from the npm registry

    $ npm install --save break_infinity.js

If you are already using decimal.js, just swap out for break_infinity.js and everything will work the same (if there's a missing function or behavioural difference, open an issue and I'll take a look).

Use

The library exports a single class Decimal, constructor of which accepts a Number, String or Decimal.

    const x = new Decimal(123.4567);
    const y = new Decimal("123456.7e-3");
    const z = new Decimal(x);
    const equals = x.equals(y) && y.equals(z) && x.equals(z); // true

The methods that return a Decimal can be chained.

    const short = x.dividedBy(y).plus(z).times(9).floor();
    const long = x.times("1.23456780123456789e+9")
      .plus(9876.5432321)
      .dividedBy("4444562598.111772")
      .ceil();

For the complete list of functions refer to Typescript definitions, decimal.js docs or check out generated API docs

Benchmarks

So how much faster than decimal.js is break_infinity.js? Operations per second comparison using the same computer:

Project	decimal.js	break_infinity.js	Speedup
new Decimal("1.23456789e987654321")	1.5e6	3e6	2x
Decimal.add("1e999", "9e998")	1.5e6	3e6	15x
Decimal.mul("1e999", "9e998")	1.5e6	3e6	66x
Decimal.pow(987.789, 123.321)	8e3	2e6	250x
Decimal.exp(1e10)	4e4	4.5e8	11250x
Decimal.log10("987.654e789")	3e4	5e8	16666x

Antimatter Dimensions script time improved by 4.5x after swapping from decimal.js to break_infinity.js. This could be your incremental game:

Build

First, clone the repo

git clone git://github.com/Patashu/break_infinity.js.git
cd break_infinity.js

Then install npm dependencies

npm install

And then run build command which will build all targets to the dist directory.

npm run build

Acknowledgements

Dedicated to Hevipelle, and all the CPUs that struggled to run Antimatter Dimensions.

Related song: https://soundcloud.com/patashu/8-bit-progressive-stoic-platonic-ideal

Special thanks to projects from which I have sourced code or ideas from:

• https://github.com/MikeMcl/decimal.js
• https://github.com/Yaffle/BigInteger
• https://bitbucket.org/heldercorreia/speedcrunchand

Additional thanks to https://github.com/Razenpok for porting the code to TypeScript and cleaning up this README.