# Fresnel Integrals (G Dataflow)

Version:
Last Modified: March 31, 2017

Computes the Fresnel cosine and sine integral functions.

## x

The input argument.

Default: 0

## error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

## C(x)

Value of the Fresnel cosine integral.

## S(x)

Value of the Fresnel sine integral.

## error out

Error information. The node produces this output according to standard error behavior.

## Algorithm for Computing the Fresnel Integrals

The following equation defines the Fresnel cosine integral.

$C\left(x\right)={\int }_{0}^{x}\mathrm{cos}\left(\frac{\pi }{2}{t}^{2}\right)dt$

The following equation defines the Fresnel sine integral.

$S\left(x\right)={\int }_{0}^{x}\mathrm{sin}\left(\frac{\pi }{2}{t}^{2}\right)dt$

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported