sqrtpi

Compute the principal square root of the product of π and a positive number.

Usage

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

sqrtpi( x )

Computes the principal square root of the product of π and a positive double-precision floating-point number.

var v = sqrtpi( 4.0 );
// returns ~3.5449

v = sqrtpi( 10.0 );
// returns ~5.60499

v = sqrtpi( 0.0 );
// returns 0.0

v = sqrtpi( NaN );
// returns NaN

For negative numbers, the principal square root is not defined.

var v = sqrtpi( -4.0 );
// returns NaN

Examples

var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
var sqrtpi = require( '@stdlib/math/base/special/sqrtpi' );

var x;
var i;

for ( i = 0; i < 100; i++ ) {
    x = discreteUniform( 0, 100 );
    console.log( 'sqrtpi(%d) = %d', x, sqrtpi( x ) );
}

C APIs

Usage

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

stdlib_base_sqrtpi( x )

Computes the principal square root of the product of π and a positive double-precision floating-point number.

double x = stdlib_base_sqrtpi( 4.0 );
// returns ~3.5449

x = stdlib_base_sqrtpi( 10.0 );
// returns ~5.60499

The function accepts the following arguments:

x: [in] double input value.

double stdlib_base_sqrtpi( const double x );

Examples

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

int main( void ) {
    double x;
    double v;
    int i;

    for ( i = 0; i < 100; i++ ) {
        x = ( (double)rand() / (double)RAND_MAX ) * 100.0;
        v = stdlib_base_sqrtpi( x );
        printf( "sqrtpi(%lf) = %lf\n", x, v );
    }
}