@stdlib/math-base-special-fast-asinh

Compute the hyperbolic arcsine of a number.

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README

asinh

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Compute the hyperbolic arcsine of a number.

Installation

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

Usage

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

asinh( x )

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

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

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

v = asinh( 2.0 );
// returns ~1.444

v = asinh( -2.0 );
// returns ~-1.444

v = asinh( NaN );
// returns NaN

v = asinh( -Infinity );
// returns -Infinity

v = asinh( Infinity );
// returns Infinity

Notes

  • For large x, the function will overflow.

    var v = asinh( 1.0e200 );
    // returns Infinity
    // (expected 461.2101657793691)
    
  • For small x, the function will underflow.

    var v = asinh( 1.0e-50 );
    // returns 0.0
    // (expected 1.0e-50)
    

Examples

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

var x = linspace( -5.0, 5.0, 103 );
var i;

for ( i = 0; i < x.length; i++ ) {
    console.log( asinh( 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.