12.2.3 Rounding Numbers
The way printf and sprintf()
(see section Using printf Statements for Fancier Printing)
perform rounding often depends upon the system’s C sprintf()
subroutine. On many machines, sprintf() rounding is “unbiased,”
which means it doesn’t always round a trailing ‘.5’ up, contrary
to naive expectations. In unbiased rounding, ‘.5’ rounds to even,
rather than always up, so 1.5 rounds to 2 but 4.5 rounds to 4. This means
that if you are using a format that does rounding (e.g., "%.0f"),
you should check what your system does. The following function does
traditional rounding; it might be useful if your awk’s printf
does unbiased rounding:
| | # round.awk --- do normal rounding
function round(x, ival, aval, fraction)
{
ival = int(x) # integer part, int() truncates
# see if fractional part
if (ival == x) # no fraction
return ival # ensure no decimals
if (x < 0) {
aval = -x # absolute value
ival = int(aval)
fraction = aval - ival
if (fraction >= .5)
return int(x) - 1 # -2.5 --> -3
else
return int(x) # -2.3 --> -2
} else {
fraction = x - ival
if (fraction >= .5)
return ival + 1
else
return ival
}
}
# test harness
{ print $0, round($0) }
|
