Counting the Greeks :-)

A question to experts in Options Greeks:

For cumulating the Delta's of a multi-leg position (consisting of especially short and long puts) I'm calling the following in my programming language (C/C++) for each leg:
SumDelta += Leg.Delta * Leg.Qty * (Leg.fLong ? -1.0 : 1.0);
where SumDelta initially is of course 0, and fLong says whether that leg is a long or short, Qty is always >= 0.

Can one use this same algorithm also for the other Greeks (Vega, Gamma, Theta, Rho), or are there differences?

 

All Greeks for the same underlying are additive.

 

Thanks, I think this was it that I hoped to hear as a confirmation of my assumption