I need to write values like:
9.6 x 10²
9.6 x 10¹²
I need to know if there is a way to format numbers as above in a string.
To increase an exponent in scientific notation, move the decimal point in the mantissa to the left the same number of times that you would like to increase the exponent. (For example, to increase the exponent by 2, add 2 to the exponent and move the decimal point in the mantissa to the left two times).
Scientific notation is expressed as a power (also called an exponent) to the base 10. The superscript (called the exponent) represents essentially how many zeros there are in an measurable amount.
When adding or subtracting numbers in scientific notation, the exponents must be the same. The exponents are the same, so add the coefficients. When adding or subtracting numbers in scientific notation, the exponents must be the same.
You have to find the appropriate character from the code page you are using, for example UTF-8:
string superScript2 = "²";
There is no such thing as formatting in a string, it is just all data.
Try this:
public static string Eng(this double x, string format="g")
{
const string sup_signs = "⁺⁻⁼⁽⁾ⁿ";
const string sup_digits = "⁰¹²³⁴⁵⁶⁷⁸⁹";
if(double.IsNaN(x) || double.IsInfinity(x))
{
return x.ToString();
}
int num_sign = Math.Sign(x);
x = Math.Abs(x);
// group exponents in multiples of 3 (thousands)
int exp = (int)Math.Floor(Math.Log(x, 10)/3)*3;
// otherwise use:
// int exp = (int)Math.Floor(Math.Log(x, 10));
// and handle the exp==1 case separetly to avoid 10¹
x*= Math.Pow(10, -exp);
int exp_sign = Math.Sign(exp);
exp = Math.Abs(exp);
// Build the exponent string 'dig' from right to left
string dig = string.Empty;
while(exp>0)
{
int n = exp%10;
dig = sup_digits[n] + dig;
exp = exp/10;
}
// if has exponent and its negative prepend the superscript minus sign
if(dig.Length>0 && exp_sign<0)
{
dig = sup_signs[1] + dig;
}
// prepend answer with minus if number is negative
string sig = num_sign<0 ? "-" : "";
if(dig.Length>0)
{
// has exponent
return $"{sig}{x.ToString(format)}×10{dig}";
}
else
{
// no exponent
return $"{sig}{x.ToString(format)}";
}
}
As a test case run
static void Main(string[] args)
{
// Type code here.
double x = Math.PI/50e5;
for(int i = 0; i < 20; i++)
{
// Format output to 12 wide column, right aligned
Debug.WriteLine($"{ Eng(x, "g4"),12}");
x*=50;
}
}
with the output:
628.3×10⁻⁹
31.42×10⁻⁶
1.571×10⁻³
78.54×10⁻³
3.927
196.3
9.817×10³
490.9×10³
24.54×10⁶
1.227×10⁹
61.36×10⁹
3.068×10¹²
153.4×10¹²
7.67×10¹⁵
383.5×10¹⁵
19.17×10¹⁸
958.7×10¹⁸
47.94×10²¹
2.397×10²⁴
119.8×10²⁴
By no means optimized, but it does the job. The exponents are in engineering form (multiples of 3 only, in order to avoid things like 10¹
). As a bonus, the number can be formatted to a specific number of significant digits by supplying a format code like g4
or g5
for 4 or 5 digits respectively.
NAN
or Inf
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