acoversinf

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

The inverse coversed sine is defined as

a c o v e r s i n left-parenthesis theta right-parenthesis equals arc sine left-parenthesis 1 minus theta right-parenthesis

Usage

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

acoversinf( x )

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

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

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

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

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

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

v = acoversinf( 3.14 );
// returns NaN

v = acoversinf( NaN );
// returns NaN

Examples

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

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

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

C APIs

Usage

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

stdlib_base_acoversinf( x )

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

float out = stdlib_base_acoversinf( 3.141592653589793f / 2.0f );
// returns ~-0.6075f

The function accepts the following arguments:

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

Examples

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

int main( void ) {
    const float x[] = { -5.0f, -3.89f, -2.78f, -1.67f, -0.56f, 0.56f, 1.67f, 2.78f, 3.89f, 5.0f };

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