asinh

Compute the hyperbolic arcsine of a number.

Usage

var asinh = require( '@stdlib/fastmath/special/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/math/utils/linspace' );
var asinh = require( '@stdlib/fastmath/special/asinh' );

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

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