# Elliptic Integral of the 1st Kind (Complete Elliptic Integral K) (G Dataflow)

Version:

Computes the Legendre elliptic integral of the first kind.

## k

The modulus argument. k is a real number between 0 and 1.

## error in

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

Default: No error

## K(k)

Value of the complete elliptic integral of the first kind.

## error out

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

## Algorithm for Computing the Complete Elliptic Integral of the First Kind

The following equation defines the complete elliptic integral of the first kind.

$K\left(k\right)={\int }_{0}^{\frac{\pi }{2}}\frac{1}{\sqrt{1-k{\mathrm{sin}}^{2}\theta }}d\theta$

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported