Round a double to x significant figures

Rocco picture Rocco · Dec 17, 2008 · Viewed 63.2k times · Source

If I have a double (234.004223), etc., I would like to round this to x significant digits in C#.

So far I can only find ways to round to x decimal places, but this simply removes the precision if there are any 0s in the number.

For example, 0.086 to one decimal place becomes 0.1, but I would like it to stay at 0.08.

Answer

P Daddy picture P Daddy · Dec 17, 2008

The framework doesn't have a built-in function to round (or truncate, as in your example) to a number of significant digits. One way you can do this, though, is to scale your number so that your first significant digit is right after the decimal point, round (or truncate), then scale back. The following code should do the trick:

static double RoundToSignificantDigits(this double d, int digits){
    if(d == 0)
        return 0;

    double scale = Math.Pow(10, Math.Floor(Math.Log10(Math.Abs(d))) + 1);
    return scale * Math.Round(d / scale, digits);
}

If, as in your example, you really want to truncate, then you want:

static double TruncateToSignificantDigits(this double d, int digits){
    if(d == 0)
        return 0;

    double scale = Math.Pow(10, Math.Floor(Math.Log10(Math.Abs(d))) + 1 - digits);
    return scale * Math.Truncate(d / scale);
}