Arccoversine

Compute the inverse coversed sine.

The inverse coversed sine is defined as

Installation

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

Usage

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

acoversin( x )

Computes the inverse coversed sine.

var v = acoversin( 0.0 );
// returns ~1.5708

v = acoversin( 3.141592653589793/2.0 );
// returns ~-0.6075

v = acoversin( 3.141592653589793/6.0 );
// returns ~0.4966

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

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

v = acoversin( 3.14 );
// returns NaN

v = acoversin( NaN );
// returns NaN

Examples

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

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

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

C APIs

Usage

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

stdlib_base_acoversin( x )

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

double out = stdlib_base_acoversin( 3.141592653589793/2.0 );
// returns ~-0.6075

The function accepts the following arguments:

• x: [in] double input value.

double stdlib_base_acoversin( const double x );

Examples

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

int main( void ) {
    const double x[] = { -5.0, -3.89, -2.78, -1.67, -0.56, 0.56, 1.67, 2.78, 3.89, 5.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_acoversin( x[ i ] );
        printf( "acoversin(%lf) = %lf\n", x[ i ], v );
    }
}

See Also

• @stdlib/math-base/special/acovercos: compute the inverse coversed cosine.
• @stdlib/math-base/special/aversin: compute the inverse versed sine.
• @stdlib/math-base/special/coversin: compute the coversed 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.