acosh

Compute the hyperbolic arccosine of a number.

Installation

npm install @stdlib/math-base-special-fast-acosh

Usage

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

acosh( x )

Computes the hyperbolic arccosine of a number (in radians).

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

v = acosh( 2.0 );
// returns ~1.317

v = acosh( 0.5 );
// returns NaN

The domain of x is restricted to [1,+infinity). If x < 1, the function will return NaN.

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

Notes

• For large x, the function will overflow.

  var v = acosh( 1.0e308 );
  // returns Infinity
  // (expected 709.889355822726)

Examples

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

var x = linspace( 1.0, 5.0, 103 );

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

C APIs

Usage

#include "stdlib/math/base/special/fast/acosh.h"

stdlib_base_fast_acosh( x )

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

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

out = stdlib_base_fast_acosh( 2.0 );
// returns ~1.317

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_fast_acosh( const double x );

Examples

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

int main( void ) {
    const double x[] = { 1.0, 1.45, 1.89, 2.33, 2.78, 3.22, 3.66, 4.11, 4.55, 5.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_fast_acosh( x[ i ] );
        printf( "acosh(%lf) = %lf\n", x[ i ], v );
    }
}

See Also

• @stdlib/math-base/special/acosh: compute the hyperbolic arccosine of a double-precision floating-point number.

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.