Rounding is not an operation, but a spectrum of operations

Let's investigate:

				Sample values
				0.45	0.55	0.5	-0.5

Round-half-up (symmetric)	0.5	0.6	1	-1
Round-half-up (asymmetric)	0.5	0.6	1	0
Round-half-down			0.4	0.5	0	?
Round-half-even			0.4	0.6	0	0(?)
Round-half-odd			0.5	0.5	1	0?
Round-ceiling			0.5	0.6	1	0
Round-floor			0.4	0.5	0	-1
Round-toward-zero		0.4	0.5	0	0
Round-away-from-zero		0.5	0.6	1	-1
Round-up			depends; either round-ceiling or round-away-from-zero
Round-down			depends; either round-floor or round-towards-zero
Truncation			identical to round-toward-zero
Round-toward-nearest?		
Round-alternate			alternate between half-even and half-odd
Round-random (stochastic)	randomize 0.5 up/down


<------(-0.15)--(-0.05)--0--0.05---0.15------->