Arcversine

Compute the inverse versed sine.

The inverse versed sine is defined as

Installation

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

Usage

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

aversin( x )

Computes the inverse versed sine.

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

v = aversin( 3.141592653589793/2.0 );
// returns ~2.1783

v = aversin( 3.141592653589793/6.0 );
// returns ~1.0742

If x < 0, x > 2, or x is NaN, the function returns NaN.

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

v = aversin( 3.14 );
// returns NaN

v = aversin( NaN );
// returns NaN

Examples

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

var x = linspace( 0.0, 2.0, 100 );

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

C APIs

Usage

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

stdlib_base_aversin( x )

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

double out = stdlib_base_aversin( 3.141592653589793/2.0 );
// returns ~2.1783

If x < 0, x > 2, or x is NaN, the function returns NaN.

double out = stdlib_base_aversin( 3.141592653589793 );
// returns NaN

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_aversin( const double x );

Examples

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

int main( void ) {
    const double x[] = { -2.5, -2.0, -1.5, -1.0, -0.5, 0.5, 1.0, 1.5, 2.0, 2.5 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_aversin( x[ i ] );
        printf( "aversin(%lf) = %lf\n", x[ i ], v );
    }
}

See Also

• @stdlib/math-base/special/avercos: compute the inverse versed cosine.
• @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.