While this method is quite slick, it won't work as expected with
numbers that are of the form 0.5, as it will always
round up to the next number instead of rounding to the
nearest even number (a rule which tries to make sure that most rounding
errors cancel each other).
Update: nuance has updated the above post, so this
post has become meaningless ;).
Here is an example for a case when always rounding
up and using the results in further calculation. Adam calls this
"premature rounding", but I think there are valid cases
to do this, for example when doing accounting or printing
invoices. In this example, using the rounded values in further
calculations increases the error
introduced by rounding :
Consider (for simplicity) 2.5 * 3.5 :
| Method | Result | Error |
| exact | 8.75 | 0 |
| round up | 12.00 | 3.25 |
| round to nearest even number | 8.00 | 0.75 |
In this (extreme) example, the rounding errors don't cancel
each other out when always rounding up. There are also
cases where rounding up and rounding to the nearest even number
give the same rounding error (consider
3.5 * 1.5).
And by the way, I'm not pedantic, I'm just trying to be
accurate :)
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