functionatan2

Four quadrant inverse tangent (avoiding NAN)

Extends from Modelica.Math.baseIcon2.

Information

The equation y = atan2(u1,u2) computes y such that tan(y) = u1/u2 and y is in the range -π < y ≤ π. Usually u1, u2 is provided in such a form that u1 = sin(y) and u2 = cos(y). If one of the two input values (either u1 or u2) is zero then the call of atan2 is still possible.
However, if both input values are zero then atan2 returns an error. The present implementation yields y = 0 if both input values are below Modelica.Constants.eps. Hence, the problem with the Modelica Standard Library atan2-call can be avoided.

Main Author:
Olaf Enge-Rosenblatt
Fraunhofer IIS/EAS, Dresden
email: olaf.enge@eas.iis.fraunhofer.de

Inputs

TypeNameDefaultDescription
Realu11Value of first axis
Realu21Value of second axis

Outputs

TypeNameDefaultDescription
Modelica.SIunits.Angley