Algebrite is a Javascript library for symbolic mathematics (technically, CoffeeScript) designed to be comprehensible and easily extensible.

var Algebrite = require('algebrite')

Algebrite.run('x + x') // => "2 x"

Algebrite.factor('10!').toString() // => "2^8 3^4 5^2 7"

Algebrite.eval('integral(x^2)').toString() // => "1/3 x^3"

// composing...
Algebrite.integral(Algebrite.eval('x')).toString() // => "1/2 x^2"

Features

Algebrite supports: arbitrary-precision arithmetic, complex quantities, simplification, expansion , substitution, symbolic and numeric roots, units of measurement, matrices, derivatives and gradients, tensors, integrals, multi-integrals, computing integrals and much more!

Examples and manual

Please refer to http://algebrite.org/

All the built-in methods in Algebrite are exposed through a javascript interface. Strings are automatically parsed as expressions, numbers are converted into the appropriate representation, and the internal cons objects are returned.

The cons objects have a toString method which converts it into a pretty-print notation.

How to build

For node use:

make sure npm is installed
npm install
npm run build

To debug things, better use the debugger from Chrome, so build for the browser like so:

make sure npm is installed
make sure browserify is installed
npm install
npm run build-for-browser
open index.html

How to test

For full tests:

npm test

For the subset of tests in run-micro-tests.coffee:

npm run microtest

Contribute

please take a look at the contributing file.

References

Algebrite starts as an adaptation of the EigenMath CAS by George Weigt. Also you might want to check another fork of EigenMath: SMIB by Philippe Billet.

Another CAS of similar nature is SymPy made in Python.

Three other Javascript CAS are

javascript-cas by Anthony Foster supporting "differentiation, complex numbers, sums, vectors (dot products, cross products, gradient/curl etc)"
Coffeequate by Matthew Alger supporting "quadratic and linear equations, simplification of most algebraic expressions, uncertainties propagation, substitutions, variables, constants, and symbolic constants".
Algebra.js by Nicole White which among other things can build and solve equations via a "chainable" API.

The MIT License (MIT)

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

makrandgupta / Algebrite