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asinh

Compute the hyperbolic arcsine of a number.

Installation

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

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

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-base-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 ] ) );
}

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C APIs

Usage

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

stdlib_base_fast_asinh( x )

Computes the hyperbolic arcsine of double-precision floating-point number.

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

out = stdlib_base_fast_asinh( 2.0 );
// returns ~1.444

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_fast_asinh( const double x );

Examples

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

int main( void ) {
    const double x[] = { 1.0, 1.45, 1.89, 2.33, 2.78, 3.22, 3.66, 4.11, 4.55, 5.0 };

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

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See Also

• @stdlib/math-base/special/asinh: compute the hyperbolic arcsine of a double-precision floating-point number.

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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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.