SymmetricHermiteInterpolation

Source: models/common/SymmetricHermiteInterpolation.py

Define the symmetric Hermite interpolation function, taking the form of \(\dfrac{1}{x_h-x_l}(24c^2-32c^3)\) for \(0 le c le 0.5\); \(\dfrac{1}{x_h-x_l} (24(1-c)^2 - 32(1-c)^3)\) for \(0.5 le c le 1\), and 0.0 otherwise. Here, \(c = \frac{x-x_l}{x_h-x_l}\) where \(x_l\) and \(x_h\) are the lower and upper bound for rescaling the input argument.

Inputs

argument — input · Scalar · required

Argument of the smooth step function

Outputs

output — output · Scalar

Value of the smooth step function. If not specified, the object name will be used as the output name.

Parameters

lower_bound — parameter · Scalar · required

Lower bound of the argument

upper_bound — parameter · Scalar · required

Upper bound of the argument