.QCalc.Math.atan3

Information

This function returns y = atan2(u₁, u₂, y₀), where y is an angle, such that tan(y) = u₁/u₂ and y is in the range -π rad < y - y₀ ≤ π rad. u₂ may be zero, provided u₁ is not zero.

The difference from atan2() is the optional third argument y₀ that specifies which of the infinite many solutions is returned. Note that for the default case (y₀ = 0), the result is the same as from atan2().

Interface

function atan3
  extends Modelica.Math.Icons.AxisCenter;
  input Real u1 annotation(
    Dialog(__Dymola_label = "<html><i>u</i><sub>1</sub></html>"));
  input Real u2 annotation(
    Dialog(__Dymola_label = "<html><i>u</i><sub>2</sub></html>"));
  input Q.Angle y0 = 0 "<html><i>y</i> shall be in the range: -&pi; &lt; <i>y</i> - <i>y</i><sub>0</sub> &le; &pi;</html>" annotation(
    Dialog(__Dymola_label = "<html><i>y</i><sub>0</sub></html>"));
  output Q.Angle y annotation(
    Dialog(__Dymola_label = "<html><i>y</i></html>"));
end atan3;

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