acoversinf

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

The inverse coversed sine is defined as

$$\mathop{\mathrm{acoversin}}(\theta) = \arcsin(1-\theta)$$

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 uniform = require( '@stdlib/random/array/uniform' );
var logEachMap = require( '@stdlib/console/log-each-map' );
var acoversinf = require( '@stdlib/math/base/special/acoversinf' );

var x = uniform( 100, 0.0, 2.0, {
    'dtype': 'float32'
});

logEachMap( 'acoversinf(%d) = %d', x, acoversinf );

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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 );
    }
}