Does Double Attack, Riposte, etc affect weapon procs?

[Ransurian]

This is probably a noob question, but...

Aside from PPM and such, I haven't been able to find a whole lot of information on how weapon procs actually work. Does anyone actually know whether events like Riposte or the "free swing" from Double Attack can cause weapons to proc?

I guess it boils down to whether or not the game considers the "free attack" from the above abilities to be a normal weapon swing. Is this the case, or does the game ignore those "free attacks" when it comes to weapon procs?