This information is part of the Modelica Standard Library maintained by the Modelica Association.

This function approximates x^2*sgn(x), such that the derivative is non-zero in x=0.

Function	Approximation	Range
y = regSquare(x)	y ~= x^2*sgn(x)	abs(x) >>delta
y = regSquare(x)	y ~= x*delta	abs(x) << delta

With the default value of delta=0.01, the difference between x^2 and regSquare(x) is 41% around x=0.01, 0.4% around x=0.1 and 0.005% around x=1.

y = regSquare(x, delta)

x	Type: Real
delta	Default Value: 0.01 Type: Real Description: Range of significant deviation from x^2*sgn(x)

y	Type: Real