Havercosine

Compute the half-value versed cosine.

The half-value versed cosine is defined as

Installation

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

Usage

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

havercos( x )

Computes the half-value versed cosine (in radians).

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

v = havercos( 3.141592653589793/2.0 );
// returns 0.5

v = havercos( -3.141592653589793/6.0 );
// returns ~0.9330

Examples

var linspace = require( '@stdlib/array-base-linspace' );
var TWO_PI = require( '@stdlib/constants-float64-two-pi' );
var havercos = require( '@stdlib/math-base-special-havercos' );

var x = linspace( 0.0, TWO_PI, 100 );

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

C APIs

Usage

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

stdlib_base_havercos( x )

Computes the half-value versed cosine (in radians).

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

out = stdlib_base_havercos( 3.141592653589793 / 2.0 );
// returns 0.5

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_havercos( const double x );

Examples

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

int main( void ) {
    const double x[] = { 0.0, 0.523, 0.785, 1.047, 3.14 };

    double y;
    int i;
    for ( i = 0; i < 5; i++ ) {
        y = stdlib_base_havercos( x[ i ] );
        printf( "havercos(%lf) = %lf\n", x[ i ], y );
    }
}

See Also

• @stdlib/math-base/special/haversin: compute the half-value versed sine.
• @stdlib/math-base/special/vercos: compute the versed cosine.

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.