12.2.4 Rounding Numbers

The way printf and sprintf (see Printf) 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 x
     
        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) }