Nor does Blender, unfortunately. Have a look here how to manipulate the coordinates and use 4D as a basis to create seamless patterns. These resulting 4D coordinates are not easy to manipulate further with predictable results. This is only for creating seamless noise patterns, normally in a procedural setting you wouldn’t have to care about that stuff.
As for the patterns, looks like powers, negations for the most of it, and octave setup (multiple chained) for the last one. I would have to experiment, but I don’t have time right now.