Arcversine

Compute the inverse versed sine.

The inverse versed sine is defined as

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 )

Computes 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 );
    }
}