Archavercosine

Compute the inverse half-value versed cosine.

The inverse half-value versed cosine is defined as

Usage

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

ahavercos( x )

Computes the inverse half-value versed cosine.

var v = ahavercos( 0.0 );
// returns ~3.1416

v = ahavercos( 1.0 );
// returns 0.0

v = ahavercos( 0.5 );
// returns ~1.5708

If x < 0, x > 1, or x is NaN, the function returns NaN.

var v = ahavercos( 1.5 );
// returns NaN

v = ahavercos( -3.14 );
// returns NaN

v = ahavercos( NaN );
// returns NaN

Examples

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

var x = linspace( 0.0, 1.0, 100 );

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

C APIs

Usage

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

stdlib_base_ahavercos( x )

Computes the inverse half-value versed cosine of a double-precision floating-point number (in radians).

double out = stdlib_base_ahavercos( 0.0 );
// returns ~3.1416

If x < 0, x > 1, or x is NaN, the function returns NaN.

double out = stdlib_base_ahavercos( -3.14 );
// returns NaN

The function accepts the following arguments:

  • x: [in] double input value.
double stdlib_base_ahavercos( const double x );

Examples

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

int main( void ) {
    const double x[] = { -2.0, -1.6, -1.2, -0.8, -0.4, 0.4, 0.8, 1.2, 1.6, 2.0 };
    
    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_ahavercos( x[ i ] );
        printf( "ahavercos(%lf) = %lf\n", x[ i ], v );
    }
}
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