round and truncate in Maxima



(1) Do a web search on "round-to-even.' For example, 
http://en.wikipedia.org/wiki/Rounding_functions.

(2)  I that think  floor((ceiling(x)-floor(x))/2) = 0 is an identity, but 
Maxima doesn't simplify  floor((ceiling(x)-floor(x))/2) to zero, for 
example.

Barton