Compute the hyperbolic arctangent of a single-precision floating-point number.
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> Compute the [hyperbolic arctangent][inverse-hyperbolic] of a single‐precision floating-point number.
``bash`
npm install @stdlib/math-base-special-fast-atanhf
`javascript`
var atanhf = require( '@stdlib/math-base-special-fast-atanhf' );
#### atanhf( x )
Computes the [hyperbolic arctangent][inverse-hyperbolic] of a single‐precision floating-point number (in radians).
`javascript
var v = atanhf( 0.0 );
// returns 0.0
v = atanhf( -0.0 );
// returns -0.0
v = atanhf( 0.5 );
// returns ~0.549
v = atanhf( 0.9 );
// returns ~1.472
v = atanhf( 1.0 );
// returns Infinity
v = atanhf( -1.0 );
// returns -Infinity
`
The domain of x is restricted to [-1,1]. If |x| > 1, the function returns NaN.
`javascript`
var v = atanhf( -3.14 );
// returns NaN
- For small x, the function will underflow.
`javascript`
var v = atanhf( 1.0e-17 );
// returns 0.0
// (expected 1.0e-17)
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var atanhf = require( '@stdlib/math-base-special-fast-atanhf' );
var opts = {
'dtype': 'float32'
};
var x = uniform( 103, -1.0, 1.0, opts );
logEachMap( 'atanhf(%0.4f) = %0.4f', x, atanhf );
`
*
`c`
#include "stdlib/math/base/special/fast/atanhf.h"
#### stdlib_base_fast_atanhf( x )
Computes the [hyperbolic arctangent][inverse-hyperbolic] of a single-precision floating-point number (in radians).
`c
float out = stdlib_base_fast_atanhf( 0.0f );
// returns 0.0f
out = stdlib_base_fast_atanhf( -0.0f );
// returns -0.0f
`
The function accepts the following arguments:
- x: [in] float input value.
`c`
float stdlib_base_fast_atanhf( const float x );
`c
#include "stdlib/math/base/special/fast/atanhf.h"
#include
int main( void ) {
const float x[] = { -1.0f, -0.78f, -0.56f, -0.33f, -0.11f, 0.11f, 0.33f, 0.56f, 0.78f, 1.0f };
float v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_fast_atanhf( x[ i ] );
printf( "atanh(%f) = %f\n", x[ i ], v );
}
}
`
*
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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Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[inverse-hyperbolic]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function