.Modelica.Fluid.Utilities.regRoot

Information

This function approximates sqrt(abs(x))*sgn(x), such that the derivative is finite and smooth in x=0.

With the default value of delta=0.01, the difference between sqrt(x) and regRoot(x) is 16% around x=0.01, 0.25% around x=0.1 and 0.0025% around x=1.

Interface

function regRoot
  extends Modelica.Icons.Function;
  input Real x;
  input Real delta = 0.01 "Range of significant deviation from sqrt(abs(x))*sgn(x)";
  output Real y;
end regRoot;

Revisions

• 15 Mar 2005 by Francesco Casella:
  Created.