Facty

This repo contains some known algorithms to find prime factors of given integer. For further reading about algorithms see my research path.

Factorization Algorithms

• Fermat's Factorization Method
• Pollard's rho Algorithm

Primality Testing Algorithms

• AKS Primality Tester
• Fermat's Primality Tester

Greatest Common Divisor (GCD) Calculating Algorithms

• Using Prime Factorizations

Warning

Since these codes are for demonstration purpose only; main focus was keep it as readable as possible. Therefore there might be performance issues (we need benchmarks) and problems with big numbers (although i've used mathjs to avoid that) etc. I don't suggest to use or trust this code in production-like environments. But you can give a try? Other than that i think you can use this in demonstration projects, prototype-like projects and/or projects that doesn't highly depend on performance etc. Or use this everywhere and improve the performance please. :)

What's Missing?

• More algorithms might be introduced such as basic ones like trial division duh!
• Some performance benchmarks would be nice.

Prerequisites

I've only tested with followings.

• NodeJS (>= 8.11)
• NPM (>= 6.4)

Factorizer Options

|name|type|default|info|options | |---|---|---|---|---| |factorizator|enum|fermat|Algorithm going to use for factorization.|fermat or pollard-rho| |primalityTester|enum|fermat|Algorithm going to use for primality testing. |fermat or aks| |gcdCalculator|enum|prime|Algorithm going to use for GCD calculations.|prime| |full|boolean|false|Whether return full set of factors or not.|true or false|

CLI Notes

• Arguments other than first one are optionals.
• You can skip an argument by providing 0.

CLI Usage: Global

Installation

$ npm i facty -g

Usage

$ facty <number> [factorizator] [primalityTester] [gcdCalculator] [full]

Examples

$ facty 120
$ facty 120 fermat aks
$ facty 120 pollard-rho
$ facty 120 0 0 0 true

CLI Usage: NPX

Direct Usage

$ npx facty <number> [factorizator] [primalityTester] [gcdCalculator] [full]

Examples

$ npx facty 120
$ npx facty 120 fermat aks
$ npx facty 120 pollard-rho
$ npx facty 120 0 0 0 true

Module Usage

Installation

$ npm i facty --save

Import

const facty = require('facty');
// or
const { factorize } = require('facty');

or ES6

import facty from 'facty';
// or
import { factorize } from 'facty';

Usage

factorize(number, {
  factorizator: 'fermat',
  primalityTester: 'fermat',
  gcdCalculator: 'prime',
  full: false
});

Examples

factorize(120);
// [2, 3, 5]

factorize(120, { full: true });
// [2, 2, 2, 3, 5]

Cloning Repo & Running Tests

Cloning

$ git clone git@github.com:ramesaliyev/facty.git

Installing Dependencies

$ npm i

Running Tests

$ npm t

Known Issues

Right now the only known issue is that i dont know any issue. (Take this socrates!)

License

Licensed under MIT. So use it as you want.