CartesianToPolar (FB)¶

FUNCTION_BLOCK CartesianToPolar

This function block will change the Cartesian coordinates of the two dimensional space \((x,y) \in \mathbb{R^{2}}\), to polar coordinates \((r, \varphi) \in \mathbb{R_{0}^{+}} \times \left( -\pi, \pi\right]\), which are connected via:

\[ \begin{align}\begin{aligned}r=\sqrt{x^{2} + y^{2}}\\\varphi = \arctan\left(y, x\right)\end{aligned}\end{align} \]

InOut:

Scope	Name	Type	Comment
Input	`lrX`	`LREAL`	X coordinate \(x\)
Input	`lrY`	`LREAL`	Y coordinate \(y\)
Output	`lrAngle`	`LREAL`	Angular coordinate \(\varphi\) (azimuth)
Output	`lrDistance`	`LREAL`	Radius \(r\)