@stdlib/math-base-special-fast-atanh
TypeScript icon, indicating that this package has built-in type declarations

0.3.0 • Public • Published
About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

atanh

NPM version Build Status Coverage Status

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 ] ) );
}

C APIs

Usage

#include "stdlib/math/base/special/fast/atanh.h"

stdlib_base_fast_atanh( x )

Computes the hyperbolic arctangent of a double-precision floating-point number (in radians).

double out = stdlib_base_fast_atanh( 0.0 );
// returns 0.0

out = stdlib_base_fast_atanh( -0.0 );
// returns -0.0

The function accepts the following arguments:

  • x: [in] double input value.
double stdlib_base_fast_atanh( const double x );

Examples

#include "stdlib/math/base/special/fast/atanh.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { -1.0, -0.78, -0.56, -0.33, -0.11, 0.11, 0.33, 0.56, 0.78, 1.0 };

    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_fast_atanh( x[ i ] );
        printf( "atanh(%lf) = %lf\n", x[ i ], v );
    }
}

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.

Community

Chat


License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.

Package Sidebar

Install

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

Homepage

stdlib.io

Weekly Downloads

17

Version

0.3.0

License

Apache-2.0

Unpacked Size

34.1 kB

Total Files

16

Last publish

Collaborators

  • stdlib-bot
  • kgryte
  • planeshifter
  • rreusser