erfcinv

Inverse complementary error function.

The inverse complementary error function is defined as

where erf^{-1}(z) is the inverse error function.

Installation

$ npm install math-erfcinv

Usage

var erfcinv = require( 'math-erfcinv' );

erfcinv( x )

Evaluates the inverse complementary error function.

var y = erfcinv( 0.5 );
// returns ~0.4769

y = erfcinv( 0.8 );
// returns ~0.1791

y = erfcinv( 0 );
// returns +infinity

y = erfcinv( 2 );
// returns -infinity

The domain of x is restricted to [0,2]. If x is outside this interval, the function will throw a RangeError.

var y = erfcinv( -3.14 );
// throws <Error>

If provided NaN, the function returns NaN.

var y = erfcinv( NaN );
// returns NaN

Examples

var linspace = require( 'compute-linspace' );
var erfcinv = require( 'math-erfcinv' );

var x = linspace( 0, 2, 100 );
var y;
var i;

for ( i = 0; i < x.length; i++ ) {
    y = erfcinv( x[ i ] );
    console.log( 'x: %d, erfcinv(x): %d', x[ i ], y );
}

To run the example code from the top-level application directory,

$ node ./examples/index.js

Tests

Unit

This repository uses tape for unit tests. To run the tests, execute the following command in the top-level application directory:

$ make test

All new feature development should have corresponding unit tests to validate correct functionality.

Test Coverage

This repository uses Istanbul as its code coverage tool. To generate a test coverage report, execute the following command in the top-level application directory:

$ make test-cov

Istanbul creates a ./reports/coverage directory. To access an HTML version of the report,

$ make view-cov

Browser Support

This repository uses Testling for browser testing. To run the tests in a (headless) local web browser, execute the following command in the top-level application directory:

$ make test-browsers

To view the tests in a local web browser,

$ make view-browser-tests

License

MIT license.

Copyright

Copyright © 2016. The Compute.io Authors.