The scaled complementary error function is defined as

For large values, the complementary error function is approximately equal to

Installation

npm install @stdlib/math-base-special-erfcx

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch.
• If you are using Deno, visit the deno branch.
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch.

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

Usage

var erfcx = require( '@stdlib/math-base-special-erfcx' );

erfcx( x )

Evaluates the scaled complementary error function.

var y = erfcx( 0.0 );
// returns 1.0

y = erfcx( 1.0 );
// returns ~0.4276

y = erfcx( -1.0 );
// returns ~5.01

y = erfcx( 50.0 );
// returns ~0.011

y = erfcx( -50.0 );
// returns +Infinity

If provided NaN, the function returns NaN.

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

Examples

var linspace = require( '@stdlib/array-base-linspace' );
var erfcx = require( '@stdlib/math-base-special-erfcx' );

var x = linspace( -30.0, 30.0, 100 );

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

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2022. The Stdlib Authors.