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How can exact same value differ in math result only by changing type from int to decimal [duplicate]

This question already has answers here:
Why does integer division in C# return an integer and not a float?
(8 answers)
Closed 1 year ago.
I was working on some project and need to do some math :
decimal X = (Value / 881) * (item.Type ? 130: 130 * 2);
the param "Value" equals 3000 for example.
if "Value" is of type int the result is 390..
if "Value" is of type decimal the result is 442.67
how is this possible ??
.NET Fiddle

Because of Decimal value. If you calculate your formula step by step you will understand this difference is due to values which are coming after decimal point when you are using decimal as a type
When you divide 3000(integer) by 881:
int Value = 3000
//Output is 3. Output is in integer
decimal X = (Value / 881); //When int is divided by int then result is in int
When you divide 3000(decimal) by 881:
decimal Value = 3000
//Output is 3.4052213393870601589103291714. Output is in decimal.
decimal X = (Value / 881); //When decimal is divided by int then result is in decimal
.Net fiddle
I hope .net fiddle will give you a better idea of my answer

How to comparing two x significant doubles correctly [duplicate]

This question already has answers here:
Round a double to x significant figures
(17 answers)
Closed 4 years ago.
This is not a duplicate question. There is an answer posted in the question. Hope it can help.
There are two doubles with the same value with decimals.
(Sorry, this is not a good case. because it will return false sometimes, but I can't find the case. If you try this case, it may not have any problem. So don't waste time to test it.)
double a = 0.70448;
double b = 0.70441;
I want to compare them with only 4 decimals.
I have this helper function to round them down to 4 decimals first.
public static double RoundDown(this double value, int decimals)
{
var multiplier = Math.Pow(10, decimals);
return Math.Floor(value * multiplier) / multiplier;
}
And then I want to check if a is larger than b like this:
RoundDown(a, 4) > RoundDown(b, 4)
Sometimes, for some cases, it will return true even they look equal. I understand very well this is floating issue, so I would like to know if there any elegant solution to compare them.
Updates:
I have tried to multiply it and compare them in integer. However, for this solution, I need to handle double infinity and NAN.
private static CompareResult Compare(double a, double b, double decimals = 0)
{
var multiplier = Math.Pow(10, decimals);
var aInt = Convert.ToInt32(a * multiplier);
var bInt = Convert.ToInt32(b * multiplier);
return aInt > bInt ? CompareResult.Greater : aInt < bInt ? CompareResult.Less : CompareResult.Equal;
}
private enum CompareResult
{
Greater,
Less,
Equal
}
System.OverflowException is thrown if one of the double is larger than int max or infinity. Also, this is not an elegant way to compare double.
Importants:
I am not going to round down with x significant figures. I have already provide this solution in my question, my question is: Even round down to x significant figures, it will return true when comparing them.
Again
I am not finding a way to round down or truncate the doubles to x significant digits. I have no problem on this part.
Answer
Thanks for #m88 answer. But it still cannot solve my problem.
I finally solve this issue using sigma. (Reference: http://forums.codeguru.com/showthread.php?506300-float-double-value-comparison-significant-figures.)
Thanks to some people misunderstand the problem and vote it as a duplicated question. I can't post my answer for others facing the same problem. So I post the answer in my question. I hope it can help others.
public static int CompareTo(this double value1, double value2, int decimals)
{
var diff = value1 - value2;
var sigma = Math.Pow(10, -decimals - 1);
return Math.Abs(diff) < sigma ? 0 : diff > 0 ? 1 : -1;
}

If you use the Math.Round method to round a and b to 4 decimals, a (0.7045) will always be greater than b (0.7044):
const double a = 0.70448;
const double b = 0.70441;
if (Math.Round(a, 4) > Math.Round(b, 4))
...
If you want to truncate the values, you need to be aware of the fact that not all fractions can be accurately represented in a double. If you want "exact" truncating, you might consider converting the double value to a string, truncate the string and then convert the truncated string value back to double. Something like this:
private static double Truncate(double d, int decimals)
{
string s = d.ToString(System.Globalization.CultureInfo.InvariantCulture);
int index = s.IndexOf(System.Globalization.CultureInfo.InvariantCulture.NumberFormat.NumberDecimalSeparator);
if (index > -1)
return Convert.ToDouble($"{s.Substring(0, index + 1)}{s.Substring(index + 1, decimals)}", System.Globalization.CultureInfo.InvariantCulture);
return d;
}
Usage:
const double a = 0.70448;
const double b = 0.70441;
if (Truncate(a, 4) >= Truncate(b, 4))
....
Obviously, if you don't want any "floating issues" as you said in the chat, you cannot work with floating point data types.

You want to truncate, not round:
double a = Math.Truncate(100 * 0.70448) / 100;
double b = Math.Truncate(100 * 0.70441) / 100;
if (a > b)
{
// ...
}
Note that fractions cannot be accurately represented in a double, as per #mm8's comment.

C# - Truncating after a position

I have a double typed variable. This variable stores information that is part of a more complex formula. Importantly, this variable can only include information up to the tenths location, or one decimal position (i.e. 10.1, 100.2, etc). However, when determining this value, it must be calculated such that anything past the tenths location is truncated, not rounded. For instance:
if the value equals 10.44, The variable value should be 10.4.
if the value equals 10.45, The variable value should also be set to 10.4
How do I truncate values in C# with respect to a decimal place?

Using an extension method:
public static double RoundDown(this double value, int digits)
{
int factor = Math.Pow(10,digits);
return Math.Truncate(value * factor) / factor;
}
Then you simply use it like this:
double rounded = number.RoundDown(2);

You have to do that by your own:
public static decimal Truncate(decimal value, int decimals)
{
if ((decimals < 0) || (decimals > 28))
{
throw new ArgumentOutOfRangeException("decimals", "The number of fractional decimals must be between 0 and 28.");
}
decimal integral = Math.Truncate(value);
decimal fractional = value - integral;
decimal shift = (decimal)Math.Pow(10, decimals);
fractional = Math.Truncate(shift * fractional);
fractional = fractional / shift;
return (integral + fractional);
}

System.Math.Truncate (d * 10) / 10

Generally, if you're working with numbers where the precise decimal representation is important, you should use decimal - not double.
With decimal, you can do something like...
decimal d = ...;
d = decimal.Truncate(d*10)/10;
If you use a double value, your truncated number will not generally be precisely representable - you may end up with excess digits or minor rounding errors. For example Math.Truncate((4.1-4.0)*10) is not 1, but 0.

While I would probably use Phillippe's answer, if you wanted to avoid scaling the number up (unlikely to be a problem for 1dp), you could:
public static double RoundDown(this double x, int numPlaces)
{
double output = Math.Round(x, numPlaces, MidpointRounding.AwayFromZero);
return (output > x ? output - Math.Pow(10, -numPlaces) : output);
}

Truncate number of digit of double value in C#

How can i truncate the leading digit of double value in C#,I have tried Math.Round(doublevalue,2) but not giving the require result. and i didn't find any other method in Math class.
For example i have value 12.123456789 and i only need 12.12.

EDIT: It's been pointed out that these approaches round the value instead of truncating. It's hard to genuinely truncate a double value because it's not really in the right base... but truncating a decimal value is more feasible.
You should use an appropriate format string, either custom or standard, e.g.
string x = d.ToString("0.00");
or
string x = d.ToString("F2");
It's worth being aware that a double value itself doesn't "know" how many decimal places it has. It's only when you convert it to a string that it really makes sense to do so. Using Math.Round will get the closest double value to x.xx00000 (if you see what I mean) but it almost certainly won't be the exact value x.xx00000 due to the way binary floating point types work.
If you need this for anything other than string formatting, you should consider using decimal instead. What does the value actually represent?
I have articles on binary floating point and decimal floating point in .NET which you may find useful.

What have you tried? It works as expected for me:
double original = 12.123456789;
double truncated = Math.Truncate(original * 100) / 100;
Console.WriteLine(truncated); // displays 12.12

double original = 12.123456789;
double truncated = Truncate(original, 2);
Console.WriteLine(truncated.ToString());
// or
// Console.WriteLine(truncated.ToString("0.00"));
// or
// Console.WriteLine(Truncate(original, 2).ToString("0.00"));
public static double Truncate(double value, int precision)
{
return Math.Truncate(value * Math.Pow(10, precision)) / Math.Pow(10, precision);
}

How about:
double num = 12.12890;
double truncatedNum = ((int)(num * 100))/100.00;

This could work (although not tested):
public double RoundDown(this double value, int digits)
{
int factor = Math.Pow(10,digits);
return Math.Truncate(value * factor) / factor;
}
Then you simply use it like this:
double rounded = number.RoundDown(2);

This code....
double x = 12.123456789;
Console.WriteLine(x);
x = Math.Round(x, 2);
Console.WriteLine(x);
Returns this....
12.123456789
12.12
What is your desired result that is different?
If you want to keep the value as a double, and just strip of any digits after the second decimal place and not actually round the number then you can simply subtract 0.005 from your number so that round will then work. For example.
double x = 98.7654321;
Console.WriteLine(x);
double y = Math.Round(x - 0.005, 2);
Console.WriteLine(y);
Produces this...
98.7654321
98.76

There are a lot of answers using Math.Truncate(double).
However, the approach using Math.Truncate(double) can lead to incorrect results.
For instance, it will return 5.01 truncating 5.02, because multiplying of double values doesn't work precisely and 5.02*100=501.99999999999994
If you really need this precision, consider, converting to Decimal before truncating.
public static double Truncate(double value, int precision)
{
decimal power = (decimal)Math.Pow(10, precision);
return (double)(Math.Truncate((decimal)value * power) / power);
}
Still, this approach is ~10 times slower.

I'm sure there's something more .netty out there but why not just:-
double truncVal = Math.Truncate(val * 100) / 100;
double remainder = val-truncVal;

If you are looking to have two points after the decimal without rounding the number, the following should work
string doubleString = doublevalue.ToString("0.0000"); //To ensure we have a sufficiently lengthed string to avoid index issues
Console.Writeline(doubleString
.Substring(0, (doubleString.IndexOf(".") +1) +2));
The second parameter of substring is the count, and IndexOf returns to zero-based index, so we have to add one to that before we add the 2 decimal values.
This answer is assuming that the value should NOT be rounded

For vb.net use this extension:
Imports System.Runtime.CompilerServices
Module DoubleExtensions
<Extension()>
Public Function Truncate(dValue As Double, digits As Integer)
Dim factor As Integer
factor = Math.Pow(10, digits)
Return Math.Truncate(dValue * factor) / factor
End Function
End Module

I use a little formatting class that I put together which can add gaps and all sorts.
Here is one of the methods that takes in a decimal and return different amounts of decimal places based on the decimal display setting in the app
public decimal DisplayDecimalFormatting(decimal input, bool valueIsWeightElseMoney)
{
string inputString = input.ToString();
if (valueIsWeightElseMoney)
{
int appDisplayDecimalCount = Program.SettingsGlobal.DisplayDecimalPlacesCount;
if (appDisplayDecimalCount == 3)//0.000
{
inputString = String.Format("{0:#,##0.##0}", input, displayCulture);
}
else if (appDisplayDecimalCount == 2)//0.00
{
inputString = String.Format("{0:#,##0.#0}", input, displayCulture);
}
else if (appDisplayDecimalCount == 1)//0.0
{
inputString = String.Format("{0:#,##0.0}", input, displayCulture);
}
else//appDisplayDecimalCount 0 //0
{
inputString = String.Format("{0:#,##0}", input, displayCulture);
}
}
else
{
inputString = String.Format("{0:#,##0.#0}", input, displayCulture);
}
//Check if worked and return if worked, else return 0
bool itWorked = false;
decimal returnDec = 0.00m;
itWorked = decimal.TryParse(inputString, out returnDec);
if (itWorked)
{
return returnDec;
}
else
{
return 0.00m;
}
}

object number = 12.123345534;
string.Format({"0:00"},number.ToString());

How do you round a number to two decimal places in C#?

I want to do this using the Math.Round function

Here's some examples:
decimal a = 1.994444M;
Math.Round(a, 2); //returns 1.99
decimal b = 1.995555M;
Math.Round(b, 2); //returns 2.00
You might also want to look at bankers rounding / round-to-even with the following overload:
Math.Round(a, 2, MidpointRounding.ToEven);
There's more information on it here.

Try this:
twoDec = Math.Round(val, 2)

If you'd like a string
> (1.7289).ToString("#.##")
"1.73"
Or a decimal
> Math.Round((Decimal)x, 2)
1.73m
But remember! Rounding is not distributive, ie. round(x*y) != round(x) * round(y). So don't do any rounding until the very end of a calculation, else you'll lose accuracy.

Personally I never round anything. Keep it as resolute as possible, since rounding is a bit of a red herring in CS anyway. But you do want to format data for your users, and to that end, I find that string.Format("{0:0.00}", number) is a good approach.

Wikipedia has a nice page on rounding in general.
All .NET (managed) languages can use any of the common language run time's (the CLR) rounding mechanisms. For example, the Math.Round() (as mentioned above) method allows the developer to specify the type of rounding (Round-to-even or Away-from-zero). The Convert.ToInt32() method and its variations use round-to-even. The Ceiling() and Floor() methods are related.
You can round with custom numeric formatting as well.
Note that Decimal.Round() uses a different method than Math.Round();
Here is a useful post on the banker's rounding algorithm.
See one of Raymond's humorous posts here about rounding...

// convert upto two decimal places
String.Format("{0:0.00}", 140.6767554); // "140.67"
String.Format("{0:0.00}", 140.1); // "140.10"
String.Format("{0:0.00}", 140); // "140.00"
Double d = 140.6767554;
Double dc = Math.Round((Double)d, 2); // 140.67
decimal d = 140.6767554M;
decimal dc = Math.Round(d, 2); // 140.67
=========
// just two decimal places
String.Format("{0:0.##}", 123.4567); // "123.46"
String.Format("{0:0.##}", 123.4); // "123.4"
String.Format("{0:0.##}", 123.0); // "123"
can also combine "0" with "#".
String.Format("{0:0.0#}", 123.4567) // "123.46"
String.Format("{0:0.0#}", 123.4) // "123.4"
String.Format("{0:0.0#}", 123.0) // "123.0"

If you want to round a number, you can obtain different results depending on: how you use the Math.Round() function (if for a round-up or round-down), you're working with doubles and/or floats numbers, and you apply the midpoint rounding. Especially, when using with operations inside of it or the variable to round comes from an operation. Let's say, you want to multiply these two numbers: 0.75 * 0.95 = 0.7125. Right? Not in C#
Let's see what happens if you want to round to the 3rd decimal:
double result = 0.75d * 0.95d; // result = 0.71249999999999991
double result = 0.75f * 0.95f; // result = 0.71249997615814209
result = Math.Round(result, 3, MidpointRounding.ToEven); // result = 0.712. Ok
result = Math.Round(result, 3, MidpointRounding.AwayFromZero); // result = 0.712. Should be 0.713
As you see, the first Round() is correct if you want to round down the midpoint. But the second Round() it's wrong if you want to round up.
This applies to negative numbers:
double result = -0.75 * 0.95; //result = -0.71249999999999991
result = Math.Round(result, 3, MidpointRounding.ToEven); // result = -0.712. Ok
result = Math.Round(result, 3, MidpointRounding.AwayFromZero); // result = -0.712. Should be -0.713
So, IMHO, you should create your own wrap function for Math.Round() that fit your requirements. I created a function in which, the parameter 'roundUp=true' means to round to next greater number. That is: 0.7125 rounds to 0.713 and -0.7125 rounds to -0.712 (because -0.712 > -0.713). This is the function I created and works for any number of decimals:
double Redondea(double value, int precision, bool roundUp = true)
{
if ((decimal)value == 0.0m)
return 0.0;
double corrector = 1 / Math.Pow(10, precision + 2);
if ((decimal)value < 0.0m)
{
if (roundUp)
return Math.Round(value, precision, MidpointRounding.ToEven);
else
return Math.Round(value - corrector, precision, MidpointRounding.AwayFromZero);
}
else
{
if (roundUp)
return Math.Round(value + corrector, precision, MidpointRounding.AwayFromZero);
else
return Math.Round(value, precision, MidpointRounding.ToEven);
}
}
The variable 'corrector' is for fixing the inaccuracy of operating with floating or double numbers.

This is for rounding to 2 decimal places in C#:
label8.Text = valor_cuota .ToString("N2") ;
In VB.NET:
Imports System.Math
round(label8.text,2)

I know its an old question but please note for the following differences between Math round and String format round:
decimal d1 = (decimal)1.125;
Math.Round(d1, 2).Dump(); // returns 1.12
d1.ToString("#.##").Dump(); // returns "1.13"
decimal d2 = (decimal)1.1251;
Math.Round(d2, 2).Dump(); // returns 1.13
d2.ToString("#.##").Dump(); // returns "1.13"

Had a weird situation where I had a decimal variable, when serializing 55.50 it always sets default value mathematically as 55.5. But whereas, our client system is seriously expecting 55.50 for some reason and they definitely expected decimal. Thats when I had write the below helper, which always converts any decimal value padded to 2 digits with zeros instead of sending a string.
public static class DecimalExtensions
{
public static decimal WithTwoDecimalPoints(this decimal val)
{
return decimal.Parse(val.ToString("0.00"));
}
}
Usage should be
var sampleDecimalValueV1 = 2.5m;
Console.WriteLine(sampleDecimalValueV1.WithTwoDecimalPoints());
decimal sampleDecimalValueV1 = 2;
Console.WriteLine(sampleDecimalValueV1.WithTwoDecimalPoints());
Output:
2.50
2.00

One thing you may want to check is the Rounding Mechanism of Math.Round:
http://msdn.microsoft.com/en-us/library/system.midpointrounding.aspx
Other than that, I recommend the Math.Round(inputNumer, numberOfPlaces) approach over the *100/100 one because it's cleaner.

You should be able to specify the number of digits you want to round to using Math.Round(YourNumber, 2)
You can read more here.

Math.Floor(123456.646 * 100) / 100
Would return 123456.64

string a = "10.65678";
decimal d = Math.Round(Convert.ToDouble(a.ToString()),2)

public double RoundDown(double number, int decimalPlaces)
{
return Math.Floor(number * Math.Pow(10, decimalPlaces)) / Math.Pow(10, decimalPlaces);
}