@stdlib/math-base-special-fast-atanh
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0.0.6 • Public • Published

atanh

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Compute the hyperbolic arctangent of a number.

Installation

npm install @stdlib/math-base-special-fast-atanh

Usage

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

atanh( x )

Computes the hyperbolic arctangent of a number (in radians).

var v = atanh( 0.0 );
// returns 0.0

v = atanh( -0.0 );
// returns -0.0

v = atanh( 0.5 );
// returns ~0.549

v = atanh( 0.9 );
// returns ~1.472

v = atanh( 1.0 );
// returns Infinity

v = atanh( -1.0 );
// returns -Infinity

The domain of x is restricted to [-1,1]. If |x| > 1, the function returns NaN.

var v = atanh( -3.14 );
// returns NaN

Notes

  • For small x, the function will underflow.

    var v = atanh( 1.0e-17 );
    // returns 0.0
    // (expected 1.0e-17)

Examples

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

var x = linspace( -1.0, 1.0, 103 );

var i;
for ( i = 0; i < x.length; i++ ) {
    console.log( atanh( x[ i ] ) );
}

See Also


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.

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License

See LICENSE.

Copyright

Copyright © 2016-2022. The Stdlib Authors.

Install

npm i @stdlib/math-base-special-fast-atanh

Homepage

stdlib.io

DownloadsWeekly Downloads

33

Version

0.0.6

License

Apache-2.0

Unpacked Size

37.4 kB

Total Files

9

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Collaborators

  • stdlib-bot
  • kgryte
  • planeshifter
  • rreusser