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.

function squareReg extends Modelica.Icons.Function; input Real x; input Real delta = 0.01 "Range of significant deviation from x^2*sgn(x)"; output Real y; end squareReg;

*15 Mar 2005*by Francesco Casella:

Created.

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