Rounding of float values - c#

I have the double value like 12.256852651 and I want to display it as 12.257 as a float number without converting it in to a string type.
How can I do it in C# ?

I'd first convert to Decimal and then use Math.Round on the result. This conversion is not strictly necessary, but I always feel a bit uneasy if I round to decimal places while using binary floating points.
Math.Round((Decimal)f, 3, MidpointRounding.AwayFromZero)
You should also look into the choice of MidpointRounding, since by default this uses Banker's round, which is not what you are used to from school.

If you want to display it, it will be a string and that's what you need to use.
If you want to round in order to use it later in calculations, use Math.Round((decimal)myDouble, 3).
If you don't intend to use it in calculation but need to display it, use double.ToString("F3").

Related

Convert text data into percentage in C#

I am getting data into a text field and I need to display it as a percentage. Is there a function to perform this?
Ex: in my column I have "0.5", "0.1","0.2","0.25" etc., which needs to be displayed as
50%,10%,20%,25% etc., What is the best way to do it?
You should do this in two phases:
Parse the text as a number so you've got the value as your "real" type. (As a general rule, parse from text as early as you can, and format to a string as late as you can... operations between the two will be a lot simpler using the natural type.)
Format the number as a percentage using the standard numeric format string for percentage
So:
decimal percentage = decimal.Parse(input);
string output = percentage.ToString("p0");
Notes:
You should consider both input and output culture; are you always expecting to use "." as the decimal separator, for example?
Use decimal rather than double to exactly represent the value in the text (for example, the text could have "0.1" but double can't hold a value of exactly 0.1)
You can add things like desired precision to the formatting; see the linked docs for details; the example gives just an integer percentage, for example
Easiest would be to parse it (must be a double) then convert it back to a string, formatting it as a percentage.
var percentageString = double.Parse(doubleString).ToString("p1");
Now, some of you hoity-toity types may say that decimal is the correct type to use in this case.
Well, yes, if you need an additional 12-13 digits of precision.
However, most of us real folk (and I'm all about keeping it real) are fine with double's 15-16 digits of precision.
The real choice is whether or not your code is using doubles or decimals in the first place. If you are using doubles in your code, just stick with doubles. If decimals, stick to decimals. What you definitely do want to avoid is having to convert between the two any more than is absolutely necessary, as there be dragons. And unexpected runtime bugs that can corrupt your data. But mostly dragons.

C# Convert.ToDouble() loses decimal points when converting string to double

Let's say we have the following simple code
string number = "93389.429999999993";
double numberAsDouble = Convert.ToDouble(number);
Console.WriteLine(numberAsDouble);
after that conversion numberAsDouble variable has the value 93389.43. What can i do to make this variable keep the full number as is without rounding it? I have found that Convert.ToDecimal does not behave the same way but i need to have the value as double.
-------------------small update---------------------
putting a breakpoint in line 2 of the above code shows that the numberAsDouble variable has the rounded value 93389.43 before displayed in the console.
93389.429999999993 cannot be represented exactly as a 64-bit floating point number. A double can only hold 15 or 16 digits, while you have 17 digits. If you need that level of precision use a decimal instead.
(I know you say you need it as a double, but if you could explain why, there may be alternate solutions)
This is expected behavior.
A double can't represent every number exactly. This has nothing to do with the string conversion.
You can check it yourself:
Console.WriteLine(93389.429999999993);
This will print 93389.43.
The following also shows this:
Console.WriteLine(93389.429999999993 == 93389.43);
This prints True.
Keep in mind that there are two conversions going on here. First you're converting the string to a double, and then you're converting that double back into a string to display it.
You also need to consider that a double doesn't have infinite precision; depending on the string, some data may be lost due to the fact that a double doesn't have the capacity to store it.
When converting to a double it's not going to "round" any more than it has to. It will create the double that is closest to the number provided, given the capabilities of a double. When converting that double to a string it's much more likely that some information isn't kept.
See the following (in particular the first part of Michael Borgwardt's answer):
decimal vs double! - Which one should I use and when?
A double will not always keep the precision depending on the number you are trying to convert
If you need to be precise you will need to use decimal
This is a limit on the precision that a double can store. You can see this yourself by trying to convert 3389.429999999993 instead.
The double type has a finite precision of 64 bits, so a rounding error occurs when the real number is stored in the numberAsDouble variable.
A solution that would work for your example is to use the decimal type instead, which has 128 bit precision. However, the same problem arises with a smaller difference.
For arbitrary large numbers, the System.Numerics.BigInteger object from the .NET Framework 4.0 supports arbitrary precision for integers. However you will need a 3rd party library to use arbitrary large real numbers.
You could truncate the decimal places to the amount of digits you need, not exceeding double precision.
For instance, this will truncate to 5 decimal places, getting 93389.42999. Just replace 100000 for the needed value
string number = "93389.429999999993";
decimal numberAsDecimal = Convert.ToDecimal(number);
var numberAsDouble = ((double)((long)(numberAsDecimal * 100000.0m))) / 100000.0;

Is there a Math API for Pow(decimal, decimal)

Is there a library for decimal calculation, especially the Pow(decimal, decimal) method? I can't find any.
It can be free or commercial, either way, as long as there is one.
Note: I can't do it myself, can't use for loops, can't use Math.Pow, Math.Exp or Math.Log, because they all take doubles, and I can't use doubles. I can't use a serie because it would be as precise as doubles.
One of the multipliyers is a rate : 1/rate^(days/365).
The reason there is no decimal power function is because it would be pointless to use decimal for that calculation. Use double.
Remember, the point of decimal is to ensure that you get exact arithmetic on values that can be exactly represented as short decimal numbers. For reasonable values of rate and days, the values of any of the other subexpressions are clearly not going to be exactly represented as short decimal values. You're going to be dealing with inexact values, so use a type designed for fast calculations of slightly inexact values, like double.
The results when computed in doubles are going to be off by a few billionths of a penny one way or the other. Who cares? You'll round out the error later. Do the rate calculation in doubles. Once you have a result that needs to be turned back into a currency again, multiply the result by ten thousand, round it off to the nearest integer, convert that to a decimal, and then divide it out by ten thousand again, and you'll have a result accurate to four decimal places, which ought to be plenty for a financial calculation.
Here is what I used.
output = (decimal)Math.Pow((double)var1, (double)var2);
Now I'm just learning but this did work but I don't know if I can explain it correctly.
what I believe this does is take the input of var1 and var2 and cast them to doubles to use as the argument for the math.pow method. After that have (decimal) in front of math.pow take the value back to a decimal and place the value in the output variable.
I hope someone can correct me if my explination is wrong but all I know is that it worked for me.
I know this is an old thread but I'm putting this here in case someone finds it when searching for a solution.
If you don't want to mess around with casting and doing you own custom implementation you can install the NuGet DecimalMath.DecimalEx and use it like DecimalEx.Pow(number,power).
Well, here is the Wikipedia page that lists current C# numerics libraries. But TBH I don't think there is a lot of support for decimals
http://en.wikipedia.org/wiki/List_of_numerical_libraries
It's kind of inappropriate to use decimals for this kind of calculation in general. It's high precision yes - but it's also low range. As the MSDN docs state it's for financial/monetary calculations - where there isn't much call for POW unfortunately!
Of course you might have a specific problem domain that needs super high precision and all numbers are within 10(28) - 10(-28). But in that case you will probably just need to write your own series calculator such as the one linked to in the comments to the question.
Not using decimal. Use double instead. According to this thread, the Math.Pow(double, double) is called directly from CLR.
How is Math.Pow() implemented in .NET Framework?
Here is what .NET Framework 4 has (2 lines only)
[SecuritySafeCritical]
public static extern double Pow(double x, double y);
64-bit decimal is not native in this 32-bit CLR yet. Maybe on 64-bit Framework in the future?
wait, huh? why can't you use doubles? you could always cast if you're using ints or something:
int a = 1;
int b = 2;
int result = (int)Math.Pow(a,b);

C# Maths gives wrong results!

I understand the principle behind this problem but it's giving me a headache to think that this is going on throughout my application and I need to find as solution.
double Value = 141.1;
double Discount = 25.0;
double disc = Value * Discount / 100; // disc = 35.275
Value -= disc; // Value = 105.824999999999999
Value = Functions.Round(Value, 2); // Value = 105.82
I'm using doubles to represent quite small numbers. Somehow in the calculation 141.1 - 35.275 the binary representation of the result gives a number which is just 0.0000000000001 out. Unfortunately, since I am then rounding this number, this gives the wrong answer.
I've read about using Decimals instead of Doubles but I can't replace every instance of a Double with a Decimal. Is there some easier way to get around this?
If you're looking for exact representations of values which are naturally decimal, you will need to replace double with decimal everywhere. You're simply using the wrong datatype. If you'd been using short everywhere for integers and then found out that you needed to cope with larger values than that supports, what would you do? It's the same deal.
However, you should really try to understand what's going on to start with... why Value doesn't equal exactly 141.1, for example.
I have two articles on this:
Binary floating point in .NET
Decimal floating point in .NET
You should use decimal – that's what it's for.
The behaviour of floating point arithmetic? That's just what it does. It has limited finite precision. Not all numbers are exactly representable. In fact, there are an infinite number of real valued numbers, and only a finite number can be representable. The key to decimal, for this application, is that it uses a base 10 representation – double uses base 2.
Instead of using Round to round the number, you could use some function you write yourself which uses a small epsilon when rounding to allow for the error. That's the answer you want.
The answer you don't want, but I'm going to give anyway, is that if you want precision, and since you're dealing with money judging by your example you probably do, you should not be using binary floating point maths. Binary floating point is inherently inaccurate and some numbers just can't be represented correctly. Using Decimal, which does base-10 floating point, would be a much better approach everywhere and will avoid you making costly mistakes with your doubles.
After spending most of the morning trying to replace every instance of a 'double' to 'decimal' and realising I was fighting a losing battle, I had another look at my Round function. This may be useful to those who can't implement the proper solution:
public static double Round(double dbl, int decimals) {
return (double)Math.Round((decimal)dbl, decimals, MidpointRounding.AwayFromZero);
}
By first casting the value to a decimal, and then calling Math.Round, this will return the 'correct' value.

Multiplying a double value by 100.0 introduces rounding errors?

This is what I am doing, which works 99.999% of the time:
((int)(customerBatch.Amount * 100.0)).ToString()
The Amount value is a double. I am trying to write the value out in pennies to a text file for transport to a server for processing. The Amount is never more than 2 digits of precision.
If you use 580.55 for the Amount, this line of code returns 58054 as the string value.
This code runs on a web server in 64-bit.
Any ideas?
You should really use decimal for money calculations.
((int)(580.55m * 100.0m)).ToString().Dump();
You could use decimal values for accurate calculations. Double is floating point number which is not guaranteed to be precise during calculations.
I'm guessing that 580.55 is getting converted to 58054.99999999999999999999999999..., in which case int will round it down to 58054. You may want to write your own function that converts your amount to a int with some sort of rounding or threshold to make this not happen.
Try
((int)(Math.Round(customerBatch.Amount * 100.0))).ToString()
You really should not be using a double value to represent currency, due to rounding errors such as this.
Instead you might consider using integral values to represent monetary amounts, so that they are represented exactly. To represent decimals you can use a similar trick of storing 580.55 as the value 58055.
no, multiplying does not introduce rounding errors
but not all values can by represented by floating point numbers.
x.55 is one of them )
Decimal has more precision than a double. Give decimal a try.
http://msdn.microsoft.com/en-us/library/364x0z75%28VS.80%29.aspx
My suggestion would be to store the value as the integer number of pennies and take dollars_part = pennies / 100 and cents_part = pennies % 100. This will completely avoid rounding errors.
Edit: when I wrote this post, I did not see that you could not change the number format. The best answer is probably using the round method as others have suggested.
EDIT 2: As others have pointed out, it would be best to use some sort of fixed point decimal variable. This is better than my original solution because it would store the information about the location of the decimal point in the value where it belongs instead of in the code.

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