# fresnels
> Compute the [Fresnel integral][fresnel-integral] S(x).
The [Fresnel integral][fresnel-integral] S(x) is defined as
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
```javascript
var fresnels = require( '@stdlib/math/base/special/fresnels' );
```
#### fresnels( x )
Computes the [Fresnel integral][fresnel-integral] S(x).
```javascript
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
```javascript
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 ] ) );
}
```
[fresnel-integral]: https://en.wikipedia.org/wiki/Fresnel_integral
