@stdlib/math-base-special-erfinv
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    0.0.5 • Public • Published

    erfinv

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    Inverse error function.

    The inverse error function is defined in terms of the Maclaurin series

    Inverse error function.

    where c_0 = 1 and

    Series coefficients.

    Installation

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

    Usage

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

    erfinv( x )

    Evaluates the inverse error function.

    var y = erfinv( 0.5 );
    // returns ~0.4769
    
    y = erfinv( 0.8 );
    // returns ~0.9062
    
    y = erfinv( -1.0 );
    // returns -Infinity
    
    y = erfinv( 1.0 );
    // returns Infinity

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

    var y = erfinv( -3.14 );
    // returns NaN

    If provided NaN, the function returns NaN.

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

    The inverse error function is an odd function; i.e., erfinv(-x) = -erfinv(x). Thus, in accordance with the IEEE 754 standard, if provided -0, the function returns -0.

    var y = erfinv( -0.0 );
    // returns -0.0

    Examples

    var linspace = require( '@stdlib/array-linspace' );
    var erfinv = require( '@stdlib/math-base-special-erfinv' );
    
    var x = linspace( -1.0, 1.0, 100 );
    var y;
    var i;
    
    for ( i = 0; i < x.length; i++ ) {
        y = erfinv( x[ i ] );
        console.log( 'x: %d, erfinv(x): %d', x[ i ], y );
    }

    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-erfinv

    Homepage

    stdlib.io

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    2,564

    Version

    0.0.5

    License

    Apache-2.0 AND BSL-1.0

    Unpacked Size

    86.8 kB

    Total Files

    16

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