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 uniform = require( '@stdlib/random/array/uniform' );
var logEachMap = require( '@stdlib/console/log-each-map' );
var acoth = require( '@stdlib/math/base/special/acoth' );

var x = uniform( 100, 1.0, 5.0, {
    'dtype': 'float64'
});

logEachMap( 'acoth(%0.4f) = %0.4f', x, acoth );

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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 );
    }
}

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See Also

• @stdlib/math/base/special/acosh: compute the hyperbolic arccosine of a double-precision floating-point number.
• @stdlib/math/base/special/acot: compute the inverse cotangent.
• @stdlib/math/base/special/asinh: compute the hyperbolic arcsine of a double-precision floating-point number.
• @stdlib/math/base/special/atanh: compute the hyperbolic arctangent of a double-precision floating-point number.