Archaversine

Compute the inverse half-value versed sine.

The inverse half-value versed sine is defined as

Installation

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

Usage

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

ahaversin( x )

Computes the inverse half-value versed sine.

var v = ahaversin( 0.0 );
// returns 0.0

v = ahaversin( 1.0 );
// returns ~3.1416

v = ahaversin( 0.5 );
// returns ~1.5708

If x < 0, x > 1, or x is NaN, the function returns NaN.

var v = ahaversin( 1.5 );
// returns NaN

v = ahaversin( -3.14 );
// returns NaN

v = ahaversin( NaN );
// returns NaN

Examples

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

var x = linspace( 0.0, 1.0, 100 );

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

C APIs

Usage

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

stdlib_base_ahaversin( x )

Compute the inverse half-value versed sine of a double-precision floating-point number (in radians).

double out = stdlib_base_ahaversin( 0.0 );
// returns 0.0

If x < 0, x > 1, or x is NaN, the function returns NaN.

double out = stdlib_base_ahaversin( -3.14 );
// returns NaN

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_ahaversin( const double x );

Examples

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

int main( void ) {
    const double x[] = { -2.0, -1.6, -1.2, -0.8, -0.4, 0.4, 0.8, 1.2, 1.6, 2.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_ahaversin( x[ i ] );
        printf( "ahaversin(%lf) = %lf\n", x[ i ], v );
    }
}

See Also

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

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.