I have these two paths (Geom::Path, or two Piecewise<D2<SBasis>> if you want), and I would like to join them smoothly (C1, to be precise), in code. Is there an API provided to achieve this task?

What I am trying to achieve is obvious to do using Node Tool by first “Join selected nodes" and then “Make selected nodes symmetric”, but I am not sure how to achieve this in code using Geom::Path easily because it doesn’t have a notion of “node” to manipulate. I can setInitial() or setFinal() or setPoint() manually, but since the feature in already there in the code, although in the parts I do not yet understand (PathManipulator), I figured I should ask. Thank you!