# Elliptic Integral of the 2nd Kind (Complete Elliptic Integral E) (G Dataflow)

Version:

Computes the Legendre elliptic integral of the second 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

## E(k)

Value of the complete elliptic integral of the second kind.

## error out

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

## Algorithm for Computing the Complete Elliptic Integral of the Second kind

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

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

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported