Recognize between Simplex Noise and Perlin Noise

I'm new to noise algorithms, I've been reading a bit and I think I understand some key concepts, but I have a question in a practical level.

If I have a piece of code of a Simplex or Perlin noise algorithm, how can I tell if the code is an implementation of Simplex or Perlin noise?

In this question, @Jeff Standen provides code for Simplex Noise. But what confuses me is that his code has Amplitude, Persistence, Octaves and Frequency, which are parameters that are talked about in articles like this one, about Perlin Noise.

So, how can I tell the difference, once I have the code?

I know I still have a lot to study and understand about these algorithms, but I thought I could look at some basic parameters to differentiate between both.

Thanks in advance.