As for basis I take a historic weapons course we cover longsword, sword and buckler, messer, dagger and hafted weapons (spears/pikes/poleaxe). Most of our instruction is based on Hans Talhoffer's manuscripts and MS I.33 sword and buckler manuscript plus our instructor is very well versed in medieval history. Funny enough we just had a class on attacking a pike line with a longsword at the last class. 
That actually sounds like a heck of a lot of fun. I'm jealous.
The most I've done is a bit of longsword training with a local
ARMA chapter. It was a blast, I just didn't have time to keep up with it.

I may get back into it someday...