Compute the inverse hyperbolic cotangent of a single-precision floating-point number.
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> Compute the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a single-precision floating-point number.
``bash`
npm install @stdlib/math-base-special-acothf
`javascript`
var acothf = require( '@stdlib/math-base-special-acothf' );
#### acothf( x )
Computes the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a single-precision floating-point number.
`javascript
var v = acothf( 2.0 );
// returns ~0.5493
v = acothf( 1.0 );
// returns Infinity
`
The domain of the inverse hyperbolic cotangent is the union of the intervals (-inf,-1] and [1,inf). If provided a value on the open interval (-1,1), the function returns NaN.
`javascript
var v = acothf( 0.0 );
// returns NaN
v = acothf( 0.5 );
// returns NaN
`
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var acothf = require( '@stdlib/math-base-special-acothf' );
var x = uniform( 100, 1.0, 5.0, {
'dtype': 'float32'
});
logEachMap( 'acothf(%0.4f) = %0.4f', x, acothf );
`
*
`c`
#include "stdlib/math/base/special/acothf.h"
#### stdlib_base_acothf( x )
Computes the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a single-precision floating-point number.
`c`
float out = stdlib_base_acothf( 2.0f );
// returns ~0.5493f
The function accepts the following arguments:
- x: [in] float input value.
`c`
float stdlib_base_acothf( const float x );
`c
#include "stdlib/math/base/special/acothf.h"
#include
int main( void ) {
const float x[] = { 1.0f, 1.44f, 1.89f, 2.33f, 2.78f, 3.22f, 3.67f, 4.11f, 4.56f, 5.0f };
float v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_acothf( x[ i ] );
printf( "acothf(%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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[hyperbolic-arctangent]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function