@stdlib/math-base-special-fast-atanh
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    0.0.5 • 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-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 ] ) );
    }

    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 © 2016-2021. The Stdlib Authors.

    Install

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

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    8

    Version

    0.0.5

    License

    Apache-2.0

    Unpacked Size

    36.3 kB

    Total Files

    9

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser