Compute the hyperbolic arcsine of a number.
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> Compute the [hyperbolic arcsine][inverse-hyperbolic] of a number.
``bash`
npm install @stdlib/math-base-special-fast-asinh
`javascript`
var asinh = require( '@stdlib/math-base-special-fast-asinh' );
#### asinh( x )
Computes the [hyperbolic arcsine][inverse-hyperbolic] of a number (in radians).
`javascript
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
`
- For large x, the function will overflow.
`javascript`
var v = asinh( 1.0e200 );
// returns Infinity
// (expected 461.2101657793691)
- For small x, the function will underflow.
`javascript`
var v = asinh( 1.0e-50 );
// returns 0.0
// (expected 1.0e-50)
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var asinh = require( '@stdlib/math-base-special-fast-asinh' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 103, -5.0, 5.0, opts );
logEachMap( 'asinh(%0.4f) = %0.4f', x, asinh );
`
*
`c`
#include "stdlib/math/base/special/fast/asinh.h"
#### stdlib_base_fast_asinh( x )
Computes the [hyperbolic arcsine][inverse-hyperbolic] of a double-precision floating-point number.
`c
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.
`c`
double stdlib_base_fast_asinh( const double x );
`c
#include "stdlib/math/base/special/fast/asinh.h"
#include
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 );
}
}
`
*
- [@stdlib/math-base/special/asinh][@stdlib/math/base/special/asinh]: compute the hyperbolic arcsine of a double-precision floating-point number.
*
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
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---
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[inverse-hyperbolic]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function
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