numbers.js

Numbers - an advanced mathematics toolkit for JavaScript and Node.js developed by Steve Kaliski, @sjkaliski

Description

Numbers provides a comprehensive set of mathematical tools that currently are not offered in JavaScript. These tools include:

Basic calculations
Calculus
Matrix Operations
Prime Numbers
Statistics
More...

A few things to note before using: JavaScript, like many languages, does not necessarily manage floating points as well as we'd all like it to. For example, if adding decimals, the addition tool won't return the exact value. This is an unfortunate error. Precautions have been made to account for this. After including numbers, you can set an error bound. Anything in this will be considered an "acceptable outcome."

The primary uses cases are client side operations which the DOM will recognize (e.g. 1.1px == 1px). It can be used for data analysis, calculations, etc. on the server as well.

How to use

Numbers is pretty straightforward to use.

With node, simply require it:

var numbers = require('numbers');

For example, if we wanted to estimate the integral of sin(x) from -2 to 4, we could:

Use riemann integrals (with 200 subdivisions)

var numbers = require('numbers');

numbers.calculus.riemann(Math.sin, -2, 4, 200);

Or use adaptive simpson quadrature (with epsilon .0001)

numbers.calculus.adaptiveSimpson(Math.sin, -2, 4, .0001);

User-defined functions can be used too:

var myFunc = function(x) {
  return 2*Math.pow(x,2) + 1;
}

numbers.calculus.riemann(myFunc, -2, 4, 200);
numbers.calculus.adaptiveSimpson(myFunc, -2, 4, .0001);

Now say we wanted to run some matrix calculations:

We can add two matrices

var array1 = [0, 1, 2];
var array2 = [3, 4, 5];

numbers.matrix.addition(array1, array2);

We can transpose a matrix

numbers.matrix.transpose(array);

Numbers also includes some basic prime number analysis. We can check if a number is prime:

// basic check
numbers.prime.simple(number);

// Miller-Rabin primality test
numbers.prime.millerRabin(number);

The statistics tools include mean, median, mode, standard deviation, random sample generator, correlation, confidence intervals, t-test, chi-square, and more.

numbers.statistic.mean(array);
numbers.statistic.median(array);
numbers.statistic.mode(array);
numbers.statistic.standardDev(array);
numbers.statistic.randomSample(lower, upper, n);
numbers.statistic.correlation(array1, array2);

For further documentation, check out our JSDoc

Test

To execute, run:

npm test

Build

To update the public JavaScript, run

make build

This will compile the entire library into a single file accessible at public/numbers.js. It will also minify the file into public/numbers.min.js.

Core Team

Steve Kaliski - @sjkaliski
David Byrd - @davidbyrd11
Ethan Resnick - @studip101

Contributors

In no particular order: