functionder_2_smoothTransition
Second order derivative of smoothTransition with respect to x
Extends from Modelica.Icons.Function (Icon for functions).
Information
This function is the 2nd order derivative of Buildings.Utilities.Math.Functions.BaseClasses.smoothTransition.
Implementation
For efficiency, the polynomial coefficients
a, b, c, d, e, f and
the inverse of the smoothing parameter deltaInv
are exposed as arguments to this function.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x | Abscissa value | |
| Real | delta | Abscissa value below which approximation occurs | |
| Real | deltaInv | Inverse value of delta | |
| Real | a | Polynomial coefficient | |
| Real | b | Polynomial coefficient | |
| Real | c | Polynomial coefficient | |
| Real | d | Polynomial coefficient | |
| Real | e | Polynomial coefficient | |
| Real | f | Polynomial coefficient | |
| Real | x_der | Derivative of x | |
| Real | x_der2 | Second order derivative of x |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y_der2 | Second order derivative of function value |
Revisions
-
August 11, 2015, by Michael Wetter:
First implementation.