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

asinh

$NPM version$ $Build Status$ $Coverage Status$

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-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 ] ) );
}

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 );
    }
}

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.