Here is a fairly robust way to ensure a drive safe to put into service. I have tested this before and caught drives that would have failed shortly after put into prod, and some that would of after it was more than half full.
Return the drive if either of the following is true:
A) The formatting speed drops below 80MB/s by more than 10MB/s (my defective one was ~40MB/s from first power-on)
B) The S.M.A.R.T tests show error count increasing at any step
It is also highly advisable to stagger the testing (and repeat some) if you plan on using multiple drives in a pool/raid config. This way the wear on the drives differ, to reduce the likelihood of them failing at the same time. For example, I re-ran either the Full format or badblocks test on some of the drives so some drives have 48 hours of testing, some have 72, some have 96. This way, the chances of a multiple drive failures during rebuild is lower.
Single pass read (SMART test is fine) and single pass write (ones, zeros, random, whatever you want) is more than adequate to determine any issues a new disk may have out of the gate, unless you want to isolate a fringe case condition and waste time and wear on your hard drive doing so.
For real. I suppose if you kept one single copy of the drive you'd want to really, really make sure? But then again why would you keep one copy of anything?