aversinf

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

The inverse versed sine is defined as

a v e r s i n f left-parenthesis theta right-parenthesis equals arc cosine left-parenthesis 1 minus theta right-parenthesis

Usage

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

aversinf( x )

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

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

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

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

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

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

v = aversinf( 3.14 );
// returns NaN

v = aversinf( NaN );
// returns NaN

Examples

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

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

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

C APIs

Usage

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

stdlib_base_aversinf( x )

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

float out = stdlib_base_aversinf( 3.141592653589793f / 2.0f );
// returns ~2.1783f

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

float out = stdlib_base_aversinf( 3.141592653589793f );
// returns NaN

The function accepts the following arguments:

  • x: [in] float input value.
float stdlib_base_aversinf( const float x );

Examples

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

int main( void ) {
    const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };

    float v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_aversinf( x[ i ] );
        printf( "aversinf(%f) = %f\n", x[ i ], v );
    }
}
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