Cartesian to Polar

Cartesian coordinates to polar coordinates

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Libraries:
Simulink Extras / Transformations

Description

The Cartesian to Polar block transforms Cartesian coordinates (x, y) to polar coordinates (r, theta).

The first and second inputs correspond to x and y, respectively. The first and second outputs correspond to r and theta, respectively. The angle theta is in radians.

The Cartesian coordinates (x, y) describe a point with respect to the x-axis and the y-axis. The polar coordinates (r, theta) describe the same point where r is the distance from the origin and theta is the counterclockwise angle in radians from the positive x-axis.

$$\begin{array}{l}r=\sqrt{x^2+y^2}\\ theta=\arctan \left(\frac{y}{x}\right)\end{array}$$

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Ports

Input

Port_1 — x Cartesian coordinate input

scalar

Input signal specifying the x value in the cartesian coordinates (x,y). Both inputs must be real scalars of the same data type.

Data Types: single | double

Port_2 — y Cartesian coordinate input

scalar

Input signal specifying the y value in the Cartesian coordinates (x,y). Both inputs must be real scalars of the same data type.

Data Types: single | double

Output

Port_1 — r Polar coordinate output

scalar

Output signal specifying the r coordinate of the Polar coordinates (r,theta).

Data Types: single | double

Output 2 — theta Polar coordinate output

scalar

Output signal specifying the theta coordinate of the Polar coordinates (r,theta).

Data Types: single | double

Version History

Introduced in R2008b