# bignumber.js #

A Javascript library for arbitrary-precision decimal and non-decimal arithmetic.  
     
## Features

  - Faster, smaller, and perhaps easier to use than Javascript versions of Java's BigDecimal
  - 5 KB minified and gzipped
  - Simple API but full-featured
  - Works with numbers with or without fraction digits in bases from 2 to 36 inclusive
  - Replicates the `toExponential`, `toFixed`, `toPrecision` and `toString` methods of Javascript's Number type
  - Includes a `toFraction` and a `squareRoot` method
  - Stores values in an accessible decimal floating point format
  - No dependencies
  - Comprehensive documentation and test set 

If an even smaller and simpler library is required see [big.js](https://github.com/MikeMcl/big.js/).   
It's half the size but only works with decimal numbers and only has half the methods.   
It also does not allow `NaN` or `Infinity`, or have the configuration options of this library. 

## Load

The library is the single Javascript file *bignumber.js*   
(or *bignumber.min.js*, which is *bignumber.js* minified using uglify-js).   

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

    <script src='./relative/path/to/bignumber.js'></script>
   
or as a CommonJS, [Node.js](http://nodejs.org) or AMD module using `require`. 

For Node, put the *bignumber.js* file into the same directory as the file that is requiring it and use

    var BigNumber = require('./bignumber'); 

or put it in a *node_modules* directory within the directory and use `require('bignumber')`. 

The library is also available from the [npm](https://npmjs.org/) registry, so

    $ npm install bignumber.js

will install this entire directory in a *node_modules* directory within the current directory.  
It can then be loaded with `require('bignumber.js')`. 
 
To load with AMD loader libraries such as [requireJS](http://requirejs.org/):

    require(['bignumber'], function(BigNumber) {  
        // Use BigNumber here in local scope. No global BigNumber. 
    });

## Use

*In all examples below, `var`, semicolons and `toString` calls are not shown.    
If a commented-out value is in quotes it means `toString` has been called on the preceding expression.*

The library exports a single function: BigNumber, the constructor of BigNumber instances.    
It accepts a value of type Number, String or BigNumber Object,   

    x = new BigNumber(123.4567)
    y = BigNumber('123456.7e-3')                     // 'new' is optional
    z = new BigNumber(x)
    x.equals(y) && y.equals(z) && x.equals(z)        // true

and a base from 2 to 36 inclusive can be specified.

    x = new BigNumber(1011, 2)           // "11" 
    y = new BigNumber('zz.9', 36)        // "1295.25"
    z = x.plus(y)                        // "1306.25"

A BigNumber is immutable in the sense that it is not changed by its methods.  

    0.3 - 0.1                     // 0.19999999999999998  
    x = new BigNumber(0.3)            
    x.minus(0.1)                  // "0.2"
    x                             // "0.3"

The methods that return a BigNumber can be chained.

    x.dividedBy(y).plus(z).times(9).floor()
    x.times('1.23456780123456789e+9').plus(9876.5432321).dividedBy('4444562598.111772').ceil()

Method names over 5 letters in length have a shorter alias.

    x.squareRoot().dividedBy(y).toPower(3).equals(x.sqrt().div(y).pow(3))         // true
    x.cmp(y.mod(z).neg()) == 1 && x.comparedTo(y.modulo(z).negated()) == 1        // true

Like Javascript's Number type, there are `toExponential`, `toFixed` and `toPrecision` methods

    x = new BigNumber(255.5)        
    x.toExponential(5)              // "2.55500e+2"
    x.toFixed(5)                    // "255.50000"
    x.toPrecision(5)                // "255.50"

 and a base can be specified for `toString`.

    x.toString(16)        // "ff.8"

The maximum number of decimal places and the rounding mode for division, square root, base conversion, and negative power operations is set by a configuration object passed to the `config` method of the `BigNumber` constructor.       
The other arithmetic operations always give the exact result.

    BigNumber.config({ DECIMAL_PLACES : 10, ROUNDING_MODE : 4 })
    // Alternatively, BigNumber.config( 10, 4 );

    x = new BigNumber(2);
    y = new BigNumber(3);        
    z = x.div(y)                 // "0.6666666667"
    z.sqrt()                     // "0.8164965809"
    z.pow(-3)                    // "3.3749999995"
    z.toString(2)                // "0.1010101011"
    z.times(z)                   // "0.44444444448888888889"
    z.times(z).round(10)         // "0.4444444445"

There is a `toFraction` method with an optional *maximum denominator* argument

    y = new BigNumber(355)
    pi = y.dividedBy(113)        // "3.1415929204"
    pi.toFraction()              // [ "7853982301", "2500000000" ]
    pi.toFraction(1000)          // [ "355", "113" ]

and `isNaN` and `isFinite` methods, as `NaN` and `Infinity` are valid `BigNumber` values.

    x = new BigNumber(NaN)                                           // "NaN"
    y = new BigNumber(Infinity)                                      // "Infinity"
    x.isNaN() && !y.isNaN() && !x.isFinite() && !y.isFinite()        // true

The value of a BigNumber is stored in a decimal floating point format in terms of a coefficient, exponent and sign.

    x = new BigNumber(-123.456); 
    x.c                                 // "1,2,3,4,5,6"    coefficient (i.e. significand)
    x.e                                 // 2                exponent 
    x.s                                 // -1               sign

For futher information see the API reference in the *doc* folder.

## Test

The *test* directory contains the test scripts for each method. 

The tests can be run with Node or a browser.   

For a quick test of all the methods, from a command-line shell at the *test/* directory

    $ node quick-test

To test a single method in more depth, e.g.

    $ node toFraction

To test all the methods in more depth

    $ node every-test

For the browser, see *quick-test.html*, *single-test.html* and *every-test.html* in the *test/browser* directory.  
 
*bignumber-vs-number.html* enables some of the methods of bignumber.js to be compared with those of Javascript's Number type.  

## Performance

The *perf* directory contains two applications and a *lib* directory containing the BigDecimal libraries used by both.   
 
*bignumber-vs-bigdecimal.html* tests the performance of bignumber.js against the Javascript translations of two versions of BigDecimal, its use should be more or less self-explanatory.
(The GWT version doesn't work in IE 6.)  

* GWT: java.math.BigDecimal   
<https://github.com/iriscouch/bigdecimal.js>
* ICU4J: com.ibm.icu.math.BigDecimal    
<https://github.com/dtrebbien/BigDecimal.js>     

The BigDecimal in Node's npm registry is the GWT version. Despite its seeming popularity I have found it to have some serious bugs, see the Node script *perf/lib/bigdecimal_GWT/bugs.js* for examples of flaws in its *remainder*, *divide* and *compareTo* methods.   

*bigtime.js* is a Node command-line application which tests the performance of bignumber.js against the GWT version of BigDecimal from the npm registry.  

For example, to compare the time taken by the bignumber.js `plus` method and the BigDecimal `add` method:  
    
    $ node bigtime plus 10000 40      
    
This will time 10000 calls to each, using operands of up to 40 random digits and will check that the results match.   
   
For help:

    $ node bigtime -h

See the README in the directory for more information.

## Build

I.e. minify.

For Node, if uglify-js is installed globally ( `npm install uglify-js -g` ) then 

    uglifyjs -o ./bignumber.min.js ./bignumber.js

will create *bignumber.min.js*.   

## Feedback

Bugs: surely not! Open an issue, please.  
Other feedback to:

Michael Mclaughlin  
<a href="mailto:M8ch88l@gmail.com">M8ch88l@gmail.com</a>

Bitcoin donation to:  
**1KdnpLRSkWJs4FXPzj7pQ39H4Ur6Urydti**  
Thank you

## Licence

See LICENCE.

## Change Log

####1.0.1
* Bugfix: error messages with incorrect method name 
* Corrected a couple of spelling mistakes in comments
* Very minor regex tweaks

####1.0.0
* 8/11/2012 Initial release   

[![githalytics.com alpha](https://cruel-carlota.pagodabox.com/50b85fd919b406ef9312551092a95fb7 "githalytics.com")](http://githalytics.com/MikeMcl/bignumber.js)