Limit exponent only to specific powers - c#

In our program we have values around millions to milliards which need to be displayed. Due to user requirements, the users want to see only exponent values which are dividable by 3. means the values to be displayed shall be like
1e0
10e0
100e0
1e3
10e3
100e3
1e6
and so on. I want to change exponent where thousands are encountered, to simplify the user the way to distinguish kilobits, megabits, gigabits.
Is it possible to get this effect with a format string?

Something like this
int val = 123456789;
var order = (int)Math.Log10(val);
var auxOrder = order/3;
var charToShow = val.ToString().Length - (auxOrder *3);
var result = val.ToString().Substring(0, charToShow )+"e"+(auxOrder *3);
There are better names for the variables like mantissa e exponent, but it will do the trick

The code from Servy was the starting point, but it still had some bugs, not working for negative or very small values. I expanded it like this
double exponent = Math.Log10(Math.Abs(val));
var negcompensator = 0;
if (exponent < 0)
{
negcompensator = -1;
}
int displayExponent = (int)(Math.Truncate((exponent + negcompensator) / 3)) * 3;
if (displayExponent==0 || double.IsInfinity(exponent))
{
return val.ToString("###0.##");
}
else
{
var displayValue = (val / Math.Pow(10, displayExponent));
return string.Format("{0}e{1}", displayValue, displayExponent);
}

I dislike solutions like this that involve string manipulation, so I calculated both portions mathematically here.
public static string MyFormat(int value)
{
double exponent = Math.Log10(value);
int displayExponent = (int)(exponent / 3);
int displayValue = (int)(value / Math.Pow(exponent, 10));
return string.Format("{0}e{1}", displayValue, displayExponent);
}

Related

String/Int to double with precision defined onruntime

I have an input type integer that represents a number that needs to be converted to double between 1-100, and the rest is decimal precision.
Example: 1562 -> 15.62 ; 198912 -> 19.8912
Right now, I tried a conversion to string, count the number of characters, take 2 to check how many decimals I have and depending of the result "create" a composite string to get a valid double...
Any idea of there is a better way of resolving convert-precision on runtime.
What about this:
int value = 1562;
decimal d = value;
while (d > 100) {
d /= 10;
}
You can use LINQ Skip and Take like:
string str = "198912";
string newStr = string.Format("{0}.{1}", new string(str.Take(2).ToArray()), new string(str.Skip(2).ToArray()));
double d = double.Parse(newStr, CultureInfo.InvariantCulture);
You can add the checks for length on original string, and also use double.TryParse to see if you get valid values.
If you have an int to begin with then you can use decimal, which would provide you more accurate conversion. Like:
int number = 1562123123;
decimal decimalNumber = number;
while (decimalNumber > 100)
{
decimalNumber /= 10;
}
Here is a mathematical solution. The line lg = Math.Max(lg, 0); changes "2" to return "2.0" instead of "20.0" but I guess that depends on your needs for single digit numbers.
static double ToDoubleBetween1And100(int num)
{
var lg = Math.Floor(Math.Log10(num)) - 1;
lg = Math.Max(lg, 0);
return ((double)num) / Math.Pow(10, lg);
}

Get number of digits before decimal point

I have a variable of decimal type and I want to check the number of digits before decimal point in it.
What should I do? For example, 467.45 should return 3.
Solution without converting to string (which can be dangerous in case of exotic cultures):
static int GetNumberOfDigits(decimal d)
{
decimal abs = Math.Abs(d);
return abs < 1 ? 0 : (int)(Math.Log10(decimal.ToDouble(abs)) + 1);
}
Note, that this solution is valid for all decimal values
UPDATE
In fact this solution does not work with some big values, for example: 999999999999998, 999999999999999, 9999999999999939...
Obviously, the mathematical operations with double are not accurate enough for this task.
While searching wrong values I tend to use string-based alternatives proposed in this topic. As for me, that is the evidence that they are more reliable and easy-to-use (but be aware of cultures). Loop-based solutions can be faster though.
Thanks to commentators, shame on me, lesson to you.
Instead of converting to string, you can also divide the number by 10 until it equals 0. Interesting is, that the mathematical operations on decimals are much slower than converting the decimal to a string and returning the length (see benchmarks below).
This solution does not use the Math-methods that take a double as input; so all operations are done on decimals and no casting is involved.
using System;
public class Test
{
public static void Main()
{
decimal dec = -12345678912345678912345678912.456m;
int digits = GetDigits(dec);
Console.WriteLine(digits.ToString());
}
static int GetDigits(decimal dec)
{
decimal d = decimal.Floor(dec < 0 ? decimal.Negate(dec) : dec);
// As stated in the comments of the question,
// 0.xyz should return 0, therefore a special case
if (d == 0m)
return 0;
int cnt = 1;
while ((d = decimal.Floor(d / 10m)) != 0m)
cnt++;
return cnt;
}
}
Output is 29. To run this sample, visit this link.
Side note: some benchmarks show surprising results (10k runs):
while ((d = decimal.Floor(d / 10m)) != 0m): 25ms
while ((d = d / 10m) > 1m): 32ms
ToString with Math-double-operations: 3ms
ToString with decimal-operations: 3ms
BigInt (see answer of #Heinzi): 2ms
Also using random numbers instead of always the same value (to avoid possible caching of the decimal to string conversion) showed that the string-based methods are much faster.
I would try this:
Math.Truncate(467.45).ToString().Length
If you want to be sure not having some weird results for different cultures and with negative decimals, you better use this:
var myDecimal = 467.45m;
Math.Truncate(Math.Abs(myDecimal)).ToString(CultureInfo.InvariantCulture).Length
I would prefer the following instead of casting to int to ensure that you can also handle big numbers (e.g. decimal.MaxValue):
Math.Truncate ( Math.Abs ( decValue ) ).ToString( "####" ).Length
decimal d = 467.45M;
int i = (int)d;
Console.WriteLine(i.ToString(CultureInfo.InvariantCulture).Length); //3
As a method;
public static int GetDigitsLength(decimal d)
{
int i = int(d);
return i.ToString(CultureInfo.InvariantCulture).Length;
}
Note: Of course you should check first your decimals full part is bigger than Int32.MaxValue or not. Because if it is, you get an OverflowException.
Is such a case, using long instead of int can a better approach. However even a long (System.Int64) is not big enough to hold every possible decimal value.
As Rawling mentioned, your full part can hold the thousands separator and my code will be broken in such a case. Because in this way, it totally ignores my number contains NumberFormatInfo.NumberGroupSeparator or not.
That's why getting numbers only is a better approach. Like;
i.ToString().Where(c => Char.IsDigit(c)).ToArray()
Here's a recursive example (mostly for fun).
void Main()
{
digitCount(0.123M); //0
digitCount(493854289.543354345M); //10
digitCount(4937854345454545435549.543354345M); //22
digitCount(-4937854345454545435549.543354345M); //22
digitCount(1.0M); //1
//approximately the biggest number you can pass to the function that works.
digitCount(Decimal.MaxValue + 0.4999999M); //29
}
int digitCount(decimal num, int count = 0)
{
//divided down to last digit, return how many times that happened
if(Math.Abs(num) < 1)
return count;
return digitCount(num/10, ++count); //increment the count and divide by 10 to 'remove' a digit
}
Math.Floor(Math.Log10((double)n) + 1); is the way to go.
Converting to int is BAD because decimal may be bigger than int:
Decimal.MaxValue = 79,228,162,514,264,337,593,543,950,335;
Int32.MaxValue = 2,147,483,647; //that is, hexadecimal 0x7FFFFFFF;
Math.Floor(n).ToString().Count(); is bad because it may include thousands seperators.
If you have a bias towards smaller numbers, you can use something more simple like this.
It is split up into two methods, so the first method is smaller and can be inlined.
Performance is about the same as the solution with the Log10, but without the rounding errors. The Method using Log10, is still the fastest (a bit) specially for numbers > 1 million.
public static int CountNrOfDigitsIfs(decimal d) {
var absD = Math.Abs(d);
// 1
if (absD < 10M) return 1;
// 2
if (absD < 100M) return 2;
// 3
if (absD < 1000M) return 3;
// 4
if (absD < 10000M) return 4;
return CountNrOfDigitsIfsLarge(d);
}
private static int CountNrOfDigitsIfsLarge(decimal d) {
// 5
if (d < 100000M) return 5;
// 6
if (d < 1000000M) return 6;
// 7
if (d < 10000000M) return 7;
// 8
if (d < 100000000M) return 8;
// 9
if (d < 1000000000M) return 9;
// 10
if (d < 10000000000M) return 10;
// 11
if (d < 100000000000M) return 11;
// 12
if (d < 1000000000000M) return 12;
// 13
if (d < 10000000000000M) return 13;
// 14
if (d < 100000000000000M) return 14;
// 15
if (d < 1000000000000000M) return 15;
// 16
if (d < 10000000000000000M) return 16;
// 17
if (d < 100000000000000000M) return 17;
// 18
if (d < 1000000000000000000M) return 18;
// 19
if (d < 10000000000000000000M) return 19;
// 20
if (d < 100000000000000000000M) return 20;
// 21
if (d < 1000000000000000000000M) return 21;
// 22
if (d < 10000000000000000000000M) return 22;
// 23
if (d < 100000000000000000000000M) return 23;
// 24
if (d < 1000000000000000000000000M) return 24;
// 25
if (d < 10000000000000000000000000M) return 25;
// 26
if (d < 100000000000000000000000000M) return 26;
// 27
if (d < 1000000000000000000000000000M) return 27;
// 28
if (d < 10000000000000000000000000000M) return 28;
return 29; // Max nr of digits in decimal
}
This code is generated using the following T4 template:
<#
const int SIGNIFICANT_DECIMALS = 29;
const int SPLIT = 5;
#>
namespace Study.NrOfDigits {
static partial class DigitCounter {
public static int CountNrOfDigitsIfs(decimal d) {
var absD = Math.Abs(d);
<#
for (int i = 1; i < SPLIT; i++) { // Only 29 significant digits
var zeroes = new String('0', i);
#>
// <#= i #>
if (absD < 1<#= zeroes #>M) return <#= i #>;
<#
}
#>
return CountNrOfDigitsIfsLarge(d);
}
private static int CountNrOfDigitsIfsLarge(decimal d) {
<#
for (int i = SPLIT; i < SIGNIFICANT_DECIMALS; i++) { // Only 29 significant digits
var zeroes = new String('0', i);
#>
// <#= i #>
if (d < 1<#= zeroes #>M) return <#= i #>;
<#
}
#>
return <#= SIGNIFICANT_DECIMALS #>; // Max nr of digits in decimal
}
}
}
So, I've run into this before, and solved it with this code:
SqlDecimal d = new SqlDecimal(467.45M);
int digits = d.Precision - d.Scale;
SqlDecimal is part of the System.Data.SqlTypes namespace. "Precision" is the total number of significant digits, while "Scale" is the number of digits after the decimal point.
Now, I know one objection to going this route is that SqlDecimal is part of the SQL Server-specific code. It's a valid point, but I would also point out that it's a part of the .NET framework itself, and has been since at least version 1.1, so it seems like it would be still be applicable no matter what the code around it is doing.
I looked under the hood with a decompiler (JetBrains' dotPeek in this instance), to see if maybe the code for calculating precision and scale could be easily extracted and just used, without pulling in SqlDecimal. The code to calculate scale is very simple, but the method to calculate precision is non-trivial, so if it were me, I'd just go through SqlDecimal.
This will do if you really don't want to use the Log method (which IMO is the best way). It's about the clearest way I can think of of doing this using ToString():
Math.Abs(val).ToString("f0", CultureInfo.InvariantCulture).Length
Or alternatively, if you don't want to count 0.123M as having one digit:
Math.Abs(val).ToString("#", CultureInfo.InvariantCulture).Length
You could use ToString function with a custom format.
Decimal value = 467.45m;
int count = Math.Abs(value).ToString("#", System.Globalization.CultureInfo.InvariantCulture).Length;
The # specify you only want the characters before the .
The System.Globalization.CultureInfo.InvariantCulture ensure you won't get any formating from the Region Option.
This answer is pretty much lifted from Calculate System.Decimal Precision and Scale but with a minor change to fit the question asked.
class Program
{
static void Main()
{
decimal dec = 467.45m;
Console.WriteLine(dec.GetNumberOfDigitsBeforeDecimalPlace());
}
}
public static class DecimalEx
{
public static int GetNumberOfDigitsBeforeDecimalPlace(this decimal dec)
{
var x = new System.Data.SqlTypes.SqlDecimal(dec);
return x.Precision - x.Scale;
}
}
Also if you want to do it without using the SqlDecimal class check out Jon Skeet's answer for the same question.
var sep = Convert.ToChar(CultureInfo.CurrentCulture.NumberFormat.NumberDecimalSeparator);
var count = d.ToString().TakeWhile(c => c != sep).Count();
The mathematical way of doing this (and probably the fastest) is to get a logarytm of base 10 of a absolute value of this number and round it
up.
Math.Floor(Math.Log10(Math.Abs(val)) + 1);
TLDR all the other answers. I wrote this in PHP, and the math would be the same. (If I knew C# I'd have written in that language.)
$input=21689584.999;
$input=abs($input);
$exp=0;
do{
$test=pow(10,$exp);
if($test > $input){
$digits=$exp;
}
if($test == $input){
$digits=$exp+1;
}
$exp++;
}while(!$digits);
if($input < 1){$digits=0;}
echo $digits;
I don't doubt there's a better way, but I wanted to throw in my $.02
EDIT:
I php-ized the code I mentioned in my comments, but did away with the int conversion.
function digitCount($input){
$digits=0;
$input=abs($input);
while ($input >= 1) {
$digits++;
$input=$input/10;
//echo $input."<br>";
}
return $digits;
}
$big=(float)(PHP_INT_MAX * 1.1);
echo digitCount($big);
Use modulo, i'm not a C# programmer, but I'm pretty sure this solution work:
double i = 1;
int numberOfDecimals = 0;
while (varDouble % i != varDouble)
{
numberOfDecimals++;
i*=10;
}
return numberOfDecimals;
This would be the Java solution
public class test {
public static void main(String args[]) {
float f = 1.123f;
int a = (int) f;
int digits = 0;
while (a > 0) {
digits++;
a=a/10;
}
System.out.println("No Of digits before decimal="+digits);
}
}
If you treat zeros or lack of zeroes as 1 number, this is OK. If you want zero to return zero or lack of zero to return zero, then there are a few edge cases to work out which shouldn't be too hard to add. Also, should Absolute value to handle negative numbers. Added that test case as well.
const decimal d = 123.45m;
const decimal d1 = 0.123m;
const decimal d2 = .567m;
const decimal d3 = .333m;
const decimal d4 = -123.45m;
NumberFormatInfo currentProvider = NumberFormatInfo.InvariantInfo;
var newProvider = (NumberFormatInfo) currentProvider.Clone();
newProvider.NumberDecimalDigits = 0;
string number = d.ToString("N", newProvider); //returns 123 = .Length = 3
string number1 = d1.ToString("N", newProvider); //returns 0 = .Length = 1
string number2 = d2.ToString("N", newProvider); //returns 1 = .Length = 1
string number3 = d3.ToString("N", newProvider); //returns 0 = .Length = 1
string number4 = Math.Abs(d4).ToString("N", newProvider); //returns 123 = .Length = 3
Here's a somewhat final solution, if you find a test case that doesn't work, let me know. It should return 3,0,0,0,3 for the test cases provided.
public static int NumbersInFrontOfDecimal(decimal input)
{
NumberFormatInfo currentProvider = NumberFormatInfo.InvariantInfo;
var newProvider = (NumberFormatInfo)currentProvider.Clone();
newProvider.NumberDecimalDigits = 0;
var absInput = Math.Abs(input);
var numbers = absInput.ToString("N", newProvider);
//Handle Zero and < 1
if (numbers.Length == 1 && input < 1.0m)
{
return 0;
}
return numbers.Length;
}
Here is my optimized version of the code inspired by Gray's answer:
static int GetNumOfDigits(decimal dTest)
{
int nAnswer = 0;
dTest = Math.Abs(dTest);
//For loop version
for (nAnswer = 0; nAnswer < 29 && dTest > 1; ++nAnswer)
{
dTest *= 0.1M;
}
//While loop version
//while (dTest > 1)
//{
// nAnswer++;
// dTest *= 0.1M;
//}
return (nAnswer);
}
If you don't want the Math.Abs to be called inside this function then be sure to use it
outside the function on the parameter before calling GetNumOfDigits.
I decided to remove the other codes to reduce clutter in my answer, even though they helped me get to this point...
If there is any improvements needed, then let me know and I will update it :).
In order to get an accurate and culturally agnostic answer I do the following:
Use System.Numerics.BigInteger, whose constructor accepts a decimal and doesn't seem to produce any rounding errors.
Use BigInteger.Abs() to remove any sign.
Use BigInteger.ToString() with the "#" format to suppress any separators that might occur.
Code
decimal num = 123213123.123123M;
int length = BigInteger.Abs((BigInteger)num).ToString("#").Length;
You could do this by rounding the number, then getting the length of the new number. You could do it like this:
var number = 476.43;
var newNumber = Math.round(number);
//get the length of the rounded number, and subtract 1 if the
//number is negative (remove the negative sign from the count)
int digits = newNumber.ToString().Length - (number < 0 ? 1 : 0);
The other solutions will lose digits if the number is too large.
public int Digits(Decimal i)
{
NumberFormatInfo format = CultureInfo.CurrentCulture.NumberFormat;
var str = Math.Abs(i).ToString().Replace(format.NumberGroupSeparator, "");
var index = str.IndexOf(format.NumberDecimalSeparator);
var digits = index == -1 ? str.Length : index;
}
Algorithm:
Convert |decimal| to String.
If "." exist in the decimal, cut before it, otherwise consider the whole number.
Return string length.
Example:
3.14 --> 3.14 --> "3.14" --> "3.14".Substring(0,1) --> "3".Length --> 1
-1024 --> 1024 --> "1024" --> IndexOf(".") = -1 --> "1024" --> 4
Code:
static int getNumOfDigits (decimal num)
{
string d = Math.Abs(num).ToString();
if (d.IndexOf(".") > -1)
{
d = d.Substring(0, d.IndexOf("."));
}
return d.Length;
}
I haven't tested this but I would keep it straightforward and do:
decimal value = 467.45;
string str = Convert.toString(value); // convert your decimal type to a string
string[] splitStr = str.split('.'); // split it into an array (use comma separator assuming you know your cultural context)
Console.WriteLine(splitStr[0].Count); // get the first element. You can also get the number of figures after the point by indexing the next value in the array.
This does not handle negative numbers. If you care about those then considering taking the absolute value. Furthermore, if you want 0 before the decimal place to not be counted then you can use a simple if statement to check it.
simple :
string value = "467.45";
int count = value.split('.')[0] == "0" ? 0 : value.split('.')[0].ToString().Replace("-","").Count();

Truncating a number to specified decimal places

I need to truncate a number to 2 decimal places, which basically means
chopping off the extra digits.
Eg:
2.919 -> 2.91
2.91111 -> 2.91
Why? This is what SQL server is doing when storing a number of a
particular precision. Eg, if a column is Decimal(8,2), and you try to
insert/update a number of 9.1234, the 3 and 4 will be chopped off.
I need to do exactly the same thing in c# code.
The only possible ways that I can think of doing it are either:
Using the stringformatter to "print" it out only
two decimal places, and then converting it to a decimal,
eg:
decimal tooManyDigits = 2.1345
decimal ShorterDigits = Convert.ToDecimal(tooManyDigits.ToString("0.##"));
// ShorterDigits is now 2.13
I'm not happy with this because it involves a to-string and then
another string to decimal conversion which seems a bit mad.
Using Math.Truncate (which only accepts an integer), so I
can multiply it by 100, truncate it, then divide by 100. eg:
decimal tooLongDecimal = 2.1235;
tooLongDecimal = Math.Truncate(tooLongDecimal * 100) / 100;
I'm also not happy with this because if tooLongDecimal is 0,
I'll get a divide by 0 error.
Surely there's a better + easier way! Any suggestions?
You've answered the question yourself; it seems you just misunderstood what division by zero means. The correct way to do this is to multiply, truncate, then devide, like this:
decimal TruncateTo100ths(decimal d)
{
return Math.Truncate(d* 100) / 100;
}
TruncateTo100ths(0m); // 0
TruncateTo100ths(2.919m); // 2.91
TruncateTo100ths(2.91111m); // 2.91
TruncateTo100ths(2.1345m); // 2.13
There is no division by zero here, there is only division by 100, which is perfectly safe.
The previously offered mathematical solutions are vulnerable to overflow with large numbers and/or a large number of decimal places. Consider instead the following extension method:
public static decimal TruncateDecimal(this decimal d, int decimals)
{
if (decimals < 0)
throw new ArgumentOutOfRangeException("decimals", "Value must be in range 0-28.");
else if (decimals > 28)
throw new ArgumentOutOfRangeException("decimals", "Value must be in range 0-28.");
else if (decimals == 0)
return Math.Truncate(d);
else
{
decimal integerPart = Math.Truncate(d);
decimal scalingFactor = d - integerPart;
decimal multiplier = (decimal) Math.Pow(10, decimals);
scalingFactor = Math.Truncate(scalingFactor * multiplier) / multiplier;
return integerPart + scalingFactor;
}
}
Usage:
decimal value = 18446744073709551615.262626263m;
value = value.TruncateDecimal(6); // Result: 18446744073709551615.262626
I agree with p.s.w.g. I had the similar requirement and here is my experience and a more generalized function for truncating.
http://snathani.blogspot.com/2014/05/truncating-number-to-specificnumber-of.html
public static decimal Truncate(decimal value, int decimals)
{
decimal factor = (decimal)Math.Pow(10, decimals);
decimal result = Math.Truncate(factor * value) / factor;
return result;
}
Using decimal.ToString('0.##') also imposes rounding:
1.119M.ToString("0.##") // -> 1.12
(Yeah, likely should be a comment, but it's hard to format well as such.)
public static decimal Rounding(decimal val, int precision)
{
decimal res = Trancating(val, precision + 1);
return Math.Round(res, precision, MidpointRounding.AwayFromZero);
}
public static decimal Trancating(decimal val,int precision)
{
if (val.ToString().Contains("."))
{
string valstr = val.ToString();
string[] valArr = valstr.Split('.');
if(valArr[1].Length < precision)
{
int NoOfZeroNeedToAdd = precision - valArr[1].Length;
for (int i = 1; i <= NoOfZeroNeedToAdd; i++)
{
valstr = string.Concat(valstr, "0");
}
}
if(valArr[1].Length > precision)
{
valstr = valArr[0] +"."+ valArr[1].Substring(0, precision);
}
return Convert.ToDecimal(valstr);
}
else
{
string valstr=val.ToString();
for(int i = 0; i <= precision; i++)
{
if (i == 1)
valstr = string.Concat(valstr, ".0");
if(i>1)
valstr = string.Concat(valstr, "0");
}
return Convert.ToDecimal(valstr);
}
}

BigInteger string representation with decimal places

I'm trying to create a decimal representation of a big integer when it's divided by something. The follwoing is the code which does it, basically I want the precision to be of 2 places.
public string GetDecimal(BigInteger bigInteger,int divisor)
{
var remainder = BigInteger.Remainder(bigInteger, divisor);
var dividend = BigInteger.Divide(bigInteger, divisor);
var d = ((double)remainder / divisor);
var decimalPart = Math.Round(d, 2);
var retValue = dividend + decimalPart.ToString(".00");
return retValue;
}
}
Is there a better way of doing this please?
Thanks,
-Mike
You should probably not convert the types and do the long division on your own. This should work with any BigInteger value.
I'm sure there's room for improvement here...
public string GetDecimal(BigInteger bigInteger, int divisor)
{
BigInteger remainder;
var quotient = BigInteger.DivRem(bigInteger, divisor, out remainder);
const int decimalPlaces = 2;
var decimalPart = BigInteger.Zero;
for(int i = 0; i < decimalPlaces; i++)
{
var div = (remainder*10)/divisor;
decimalPart *= 10;
decimalPart += div;
remainder = remainder*10 - div*divisor;
}
var retValue = quotient.ToString() + "." + decimalPart.ToString(new string('0', decimalPlaces));
return retValue;
}
The built in .net decimal type is 128bit, and works with similar rounding constructs of other types. Is this number not large enough?
Instead of doing maths on it especially using less accurate types like double.
simply build a string with all but the last two digits, append a decimal point and then put the last one in.
e.g. Something like
int precision = 2;
negative = 0;
if (bigInteger < 0)
{
negative = 1;
}
String strValue = bigInteger.ToString().PadRight(precision + negative + 1,'0');
return strValue.Insert(strValue.Length - precision, ".");
var s=((bigInteger*200+divisor)/(2*(BigInteger)divisor)).ToString();
return s.Insert(".",s.Length-2);
This code only works for positive values, and uses AwayFromZero midpoint rounding. I also didn't care about localization issues.

C# Check if a decimal has more than 3 decimal places?

I have a situation that I cannot change: one database table (table A) accepts 6 decimal places, while a related column in a different table (table B) only has 3 decimal places.
I need to copy from A to B, but if A has more than 3 decimal places the extra data will be lost. I cant change the table definition but I can add a workaround. So I'm trying to find out how to check if a decimal has more than 3 decimal places or not?
eg
Table A
Id, Qty, Unit(=6dp)
1, 1, 0.00025
2, 4000, 0.00025
Table B
Id, TotalQty(=3dp)
I want to be able to find out if Qty * Unit from Table A has more than 3 decimals (row 1 would fail, row 2 would pass):
if (CountDecimalPlaces(tableA.Qty * tableA.Unit) > 3)
{
return false;
}
tableB.TotalQty = tableA.Qty * tableA.Unit;
How would I implement the CountDecimalPlaces(decimal value) {} function?
You could compare the value of the number rounded to 3 decimal places with the original value.
if (Decimal.Round(valueDecimal, 3) != valueDecimal)
{
//Too many decimals
}
This works for 3 decimal places, and it can be adapted for a generic solution:
static bool LessThan3DecimalPlaces(decimal dec)
{
decimal value = dec * 1000;
return value == Math.Floor(value);
}
static void Test()
{
Console.WriteLine(LessThan3DecimalPlaces(1m * 0.00025m));
Console.WriteLine(LessThan3DecimalPlaces(4000m * 0.00025m));
}
For a real generic solution, you'll need to "deconstruct" the decimal value in its parts - take a look at Decimal.GetBits for more information.
Update: this is a simple implementation of a generic solution which works for all decimals whose integer part is less than long.MaxValue (you'd need something like a "big integer" for a trully generic function).
static decimal CountDecimalPlaces(decimal dec)
{
Console.Write("{0}: ", dec);
int[] bits = Decimal.GetBits(dec);
ulong lowInt = (uint)bits[0];
ulong midInt = (uint)bits[1];
int exponent = (bits[3] & 0x00FF0000) >> 16;
int result = exponent;
ulong lowDecimal = lowInt | (midInt << 32);
while (result > 0 && (lowDecimal % 10) == 0)
{
result--;
lowDecimal /= 10;
}
return result;
}
static void Foo()
{
Console.WriteLine(CountDecimalPlaces(1.6m));
Console.WriteLine(CountDecimalPlaces(1.600m));
Console.WriteLine(CountDecimalPlaces(decimal.MaxValue));
Console.WriteLine(CountDecimalPlaces(1m * 0.00025m));
Console.WriteLine(CountDecimalPlaces(4000m * 0.00025m));
}
This is a very simple one line code to get count of decimals in a Decimal:
decimal myDecimal = 1.000000021300010000001m;
byte decimals = (byte)((Decimal.GetBits(myDecimal)[3] >> 16) & 0x7F);
Multiplying a number with 3 decimal places by 10 to the power of 3 will give you a number with no decimal places. It's a whole number when the modulus % 1 == 0. So I came up with this...
bool hasMoreThanNDecimals(decimal d, int n)
{
return !(d * (decimal)Math.Pow(10, n) % 1 == 0);
}
Returns true when n is less than (not equal) to the number of decimal places.
The basics is to know how to test if there are decimal places, this is done by comparing the value to its rounding
double number;
bool hasDecimals = number == (int) number;
Then, to count 3 decimal places, you just need to do the same for your number multiplied by 1000:
bool hasMoreThan3decimals = number*1000 != (int) (number * 1000)
All of the solutions proposed so far are not extensible ... fine if you are never going to check a value other than 3, but I prefer this because if the requirement changes the code to handle it is already written. Also this solution wont overflow.
int GetDecimalCount(decimal val)
{
if(val == val*10)
{
return int.MaxValue; // no decimal.Epsilon I don't use this type enough to know why... this will work
}
int decimalCount = 0;
while(val != Math.Floor(val))
{
val = (val - Math.Floor(val)) * 10;
decimalCount++;
}
return decimalCount;
}
carlosfigueira solution will need to check for 0 otherwise "while ((lowDecimal % 10) == 0)" will produce an infinity loop when called with dec = 0
static decimal CountDecimalPlaces(decimal dec)
{
if (dec == 0)
return 0;
int[] bits = Decimal.GetBits(dec);
int exponent = bits[3] >> 16;
int result = exponent;
long lowDecimal = bits[0] | (bits[1] >> 8);
while ((lowDecimal % 10) == 0)
{
result--;
lowDecimal /= 10;
}
return result;
}
Assert.AreEqual(0, DecimalHelper.CountDecimalPlaces(0m));
Assert.AreEqual(1, DecimalHelper.CountDecimalPlaces(0.5m));
Assert.AreEqual(2, DecimalHelper.CountDecimalPlaces(10.51m));
Assert.AreEqual(13, DecimalHelper.CountDecimalPlaces(10.5123456978563m));
One more option based on #RodH257's solution, but reworked as an extension method:
public static bool HasThisManyDecimalPlacesOrLess(this decimal value, int noDecimalPlaces)
{
return (Decimal.Round(value, noDecimalPlaces) == value);
}
You can then call that as:
If !(tableA.Qty * tableA.Unit).HasThisManyDecimalPlacesOrLess(3)) return;
There is probably a more elegant way to do this, but off the top of my head I would try
a = multiply by 1000
b = truncate a
if (b != a) then there is additional precision that has been lost
bool CountDecimalPlaces(decimal input)
{
return input*1000.0 == (int) (input*1000);
}
Here is my version:
public static int CountDecimalPlaces(decimal dec)
{
var a = Math.Abs(dec);
var x = a;
var count = 1;
while (x % 1 != 0)
{
x = a * new decimal(Math.Pow(10, count++));
}
var result = count - 1;
return result;
}
I tried first #carlosfigueira/#Henrik Stenbæk, but their version does not work with 324000.00m
TEST:
Console.WriteLine(CountDecimalPlaces(0m)); //0
Console.WriteLine(CountDecimalPlaces(0.5m)); //1
Console.WriteLine(CountDecimalPlaces(10.51m)); //2
Console.WriteLine(CountDecimalPlaces(10.5123456978563m)); //13
Console.WriteLine(CountDecimalPlaces(324000.0001m)); //4
Console.WriteLine(CountDecimalPlaces(324000.0000m)); //0
could you convert it to a string and just do a len function or would that not cover your situation?
follow up question:
would 300.4 be ok?
Public Function getDecimalCount(decWork As Decimal) As Integer
Dim intDecimalCount As Int32 = 0
Dim strDecAbs As String = decWork.ToString.Trim("0")
intDecimalCount = strDecAbs.Substring(strDecAbs.IndexOf(".")).Length -1
Return intDecimalCount
End Function

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