asech

Compute the hyperbolic arcsecant of a number.

Installation

npm install @stdlib/math-base-special-asech

Usage

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

asech( x )

Computes the hyperbolic arcsecant of x.

var v = asech( 1.0 );
// returns 0.0

v = asech( 0.5 );
// returns ~1.317

v = asech( 0.0 );
// returns Infinity

The domain of x is restricted to the interval [0, 1]. For x outside of this interval, the function returns NaN.

var v = asech( -1.0 );
// returns NaN

v = asech( 2.0 );
// returns NaN

Examples

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

var x = linspace( 0.1, 1.0, 100 );

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

C APIs

Usage

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

stdlib_base_asech( x )

Computes the hyperbolic arcsecant of x.

double out = stdlib_base_asech( 1.0 );
// returns 0.0

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_asech( const double x );

Examples

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

int main( void ) {
    const double x[] = { 0.0, 0.5, 1.0, 1.89, 2.33, 3.22, 3.67, 4.11, 4.56, 5.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_asech( x[ i ] );
        printf( "asech(%lf) = %lf\n", x[ i ], v );
    }
}

See Also

• @stdlib/math-base/special/acosh: compute the hyperbolic arccosine of a double-precision floating-point number.
• @stdlib/math-base/special/asec: compute the inverse (arc) secant of a number.
• @stdlib/math-base/special/asech: compute the hyperbolic arcsecant of a number.
• @stdlib/math-base/special/acoth: compute the inverse hyperbolic cotangent.

Notice

This package is part of 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, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.