asinh

Compute the hyperbolic arcsine of a number.

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 );
    }
}