time-to-botec/squiggle/node_modules/@stdlib/math/base/special/fresnels/README.md
NunoSempere b6addc7f05 feat: add the node modules
Necessary in order to clearly see the squiggle hotwiring.
2022-12-03 12:44:49 +00:00

2.4 KiB

fresnels

Compute the Fresnel integral S(x).

The Fresnel integral S(x) is defined as

Fresnel integral S(x)

Some sources define S(x) using t2 for the argument of the sine. To get this function, multiply the computed integral by √(π/2) and multiply the argument x by √(2/π).

Usage

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

fresnels( x )

Computes the Fresnel integral S(x).

var v = fresnels( 0.0 );
// returns ~0.0

v = fresnels( 1.0 );
// returns ~0.438

v = fresnels( Infinity );
// returns ~0.5

v = fresnels( -Infinity );
// returns ~-0.5

v = fresnels( NaN );
// returns NaN

Examples

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

var x = linspace( 0.0, 10.0, 100 );
var i;

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