HermiteSmoothStep

Source: models/common/HermiteSmoothStep.py

The smooth step function defined by Hermite polynomials.

For \(x\) mapped onto the unit interval via \(u = (x - x0) / (x1 - x0)\) and clamped to [eps, 1 - eps], the forward is the cubic Hermite step \(y = 3 u^2 - 2 u^3\) (or its complement 1 - y when complement = true). The derivative \(dy/dx = 6 u (1 - u) / (x1 - x0)\) vanishes naturally at the clamp boundaries, mirroring the C++ set_value implementation.

Inputs

argument — input · Scalar · required

Argument of the smooth step function

Outputs

value — output · Scalar · required

Value of the smooth step function

Parameters

lower_bound — parameter · Scalar · required

Lower bound of the argument

upper_bound — parameter · Scalar · required

Upper bound of the argument

Other options

complement — bool · default False

Whether to take the complement of the smooth step function, i.e. 1 - smooth_step