acoth

Compute the inverse hyperbolic cotangent of a double-precision floating-point number.

Usage

var acoth = require( '@stdlib/math/base/special/acoth' );

acoth( x )

Computes the inverse hyperbolic cotangent of a double-precision floating-point number.

var v = acoth( 2.0 );
// returns ~0.5493

v = acoth( 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.

var v = acoth( 0.0 );
// returns NaN

v = acoth( 0.5 );
// returns NaN

Examples

var linspace = require( '@stdlib/array/base/linspace' );
var acoth = require( '@stdlib/math/base/special/acoth' );

var x = linspace( 1.0, 5.0, 100 );

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

C APIs

Usage

#include "stdlib/math/base/special/acoth.h"

stdlib_base_acoth( x )

Computes the inverse hyperbolic cotangent of a double-precision floating-point number.

double out = stdlib_base_acoth( 2.0 );
// returns ~0.5493

The function accepts the following arguments:

x: [in] double input value.

double stdlib_base_acoth( const double x );

Examples

#include "stdlib/math/base/special/acoth.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { 1.0, 1.44, 1.89, 2.33, 2.78, 3.22, 3.67, 4.11, 4.56, 5.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_acoth( x[ i ] );
        printf( "acoth(%lf) = %lf\n", x[ i ], v );
    }
}