Floating Point - Precision Of Arithmetic Calculations On Server
Dec 4, 2013
I am trying to understand why SQL Server gives me significantly lower precision than many of the other sources that have tried when using the POWER function. My environment is 2008 R2 SP2 (10.50.4000.0 X64, Standard edition) on Windows 2008 X64 SP1
DECLARE @x FLOAT(53) = 1.0004;
DECLARE @y FLOAT(53) = 1.0/12.0;
SELECT POWER(@x,@y)-1; -- Answer: 3.33270904724348E-05
GO
DECLARE @x FLOAT(24) = 1.0004;
DECLARE @y FLOAT(24) = 1.0/12.0;
[URL] ....
Answer: 3.33272237835747E-05
I also tried using Windows Calculator.Answer:3.3327223783495255846580902358195e-5
And an online "high-precision" calculator from [URL] ...
Answer: 3.332722378349525584658E-5
The best SQL results compare only to the fourth digit with other results. Everything else agrees to the 10th or 12th digit.
Is the precision of arithmetic calculations on SQL Server that bad, or am I doing something wrong here? Is there another more precise alternative?
I did the following. The results speak for themselves
DECLARE @x FLOAT(53) = 1.0004;
DECLARE @y FLOAT(53) = 1.0/12.0;
DECLARE @z FLOAT(53) = POWER(@x,@y)-1; -- Answer: 3.33270904724348E-05
SELECT POWER((1+@z),12); -- 1.00039999839968
-- using results from other sources (c#, windows calc, casio.com)
SELECT POWER((1+3.33272237835747E-05),12) -- 1.0004
SELECT POWER((1+3.3327223783495255846580902358195e-5),12)-- 1.0004
SELECT POWER((1+3.332722378349525584658E-5),12) -- 1.0004
It is not important what I am trying to do, but in case it will work, I am trying to calculate the monthly return for a 90-day T-bill given the compounded annual return. x is the annualized return.
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Nov 9, 2001
Hello all,
I can't see any reason for this error, not having a high level understanding of maths I thought I'd post it and hope someone could share some light on it.
I yesterday got called by a client who said that a payment for £15 + VAT was being passed to their payment gateway as 17.62 when it should be 17.63. The VAT calculation is performed in a SQL Server 2000 stored procedure. In the end I tracked it down and it wasn't a propblem with my calculation.
The price was coming out as 17.63 fine. The stored procedure then had to return this price in pence (17.63 * 100 = 17.63). When I put in a print statement with this calculation it was correct but when I output the variable that the result was assigned to it was coming out as 1762.
The variable that the result was being put into was of real datatype.
I then wrote a udf to test this. Here is the function:
CREATE FUNCTION dbo.POUNDS_TO_PENCE
(
@POUNDVALUE real
)
RETURNS INTEGER
AS
BEGIN
RETURN @POUNDVALUE * 100
END
As you can see nothing very special.
If you run this runction and pass in 17.63 it will return 1762!!!
The bit I don't get is if I change the @POUNDSVALUE intput variable to type float it returns the correct amount.
I've also found that the same problem occurs when passing in £30 + VAT (35.25) + 1pence. So, 35.26 comes out as 3525 instead of 3526. This is the case if you keep doubling the number (and adding a few pence here and there).
Does anyone know why this is or is it a bug in the processor?
The SQL books online say the following about the float and real data types:
--------------------------------------------------------
float and real (T-SQL)
Approximate number data types for use with floating point numeric data. Floating point data is approximate; not all values in the data type range can be precisely represented.
Syntax
float[(n)]
Is a floating point number data from - 1.79E + 308 through 1.79E + 308. n is the number of bits used to store the mantissa of the float number in scientific notation and thus dictates the precision and storage size. n must be a value from 1 through 53.
n is Precision Storage size
1-24 7 digits 4 bytes
25-53 15 digits 8 bytes
The Microsoft® SQL Server™ float[(n)] data type conforms to the SQL-92 standard for all values of n from 1 to 53. The synonym for double precision is float(53).
real
Floating point number data from –3.40E + 38 through 3.40E + 38. Storage size is 4 bytes. In SQL Server, the synonym for real is float(24).
--------------------------------------------------------
Apart from the fact that it says 'Approximate number data types' I can't see any difference between the data type apart from the ranges.
Anyone any ideas?
Thanks
Tom Holder
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Jul 20, 2005
Hi,I would like to know, if I need to do some floting point operations(mainly multiplication and division) on each roll of a table, should Iread the data out from the DB and do the calculation with a programminglanguage, say C#, or should I just use sql to do it on the sql server.An obvious advantage of doing it in the sql server is that you dontneed to transfer the data between the sql server and he applicationserver.But I am not sure if there are any other factors that will overridethis advantage: like the performance of doing lots of floting pointoperations in sql server.How is the performance of doing floting point operations in sql servercomparing to C# or other languages?Also are there any other factors that should be considered for thiscase andare there any other advantages to do this is sql server or in c#?ThanksBenny*** Sent via Developersdex http://www.developersdex.com ***Don't just participate in USENET...get rewarded for it!
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Feb 22, 2007
I've got a price in euro as a string, which I can easily cast to a numeric SSIS data type e.g. R4, R8, DECIMAL, NUMERIC. And I've got the dollar/euro exchange rate stored in an SSIS variable of type DOUBLE, set to 1.28 for testing purposes. I want to multiply the two values and return the (dollar) result, rounded (not truncated) to 2 decimal places, as a string.
Here are some experiments I did in an SSIS expression editor:
(DT_WSTR, 10) (1.28 * 31.10) evaluates to "39.8080"
(DT_WSTR, 10) (1.28 * (DT_R8) "31.10") evaluates to "39.808"
(DT_WSTR, 10) (1.28 * (DT_DECIMAL, 0) "31.10") evaluates to "39.68"
(DT_WSTR, 10) (1.28 * (DT_DECIMAL, 1) "31.10") evaluates to "39.808"
(DT_WSTR, 10) (1.28 * (DT_DECIMAL, 2) "31.10") evaluates to "39.8080"
(DT_WSTR, 10) (1.28 * (DT_DECIMAL, 3) "31.10") evaluates to "39.80800"
Of course, what I really want is "39.81", so I went on:
(DT_WSTR, 10) ((DT_DECIMAL, 0) (1.28 * (DT_R8) "31.10")) evaluates to "39"
(DT_WSTR, 10) ((DT_DECIMAL, 1) (1.28 * (DT_R8) "31.10")) evaluates to "39.8"
This looks promising! But:
(DT_WSTR, 10) ((DT_DECIMAL, 2) (1.28 * (DT_R8) "31.10")) evaluates to "39.8"
(DT_WSTR, 10) ((DT_DECIMAL, 3) (1.28 * (DT_R8) "31.10")) evaluates to "39.808"
Argh... How does one get a floating point value rounded to 2 decimal places???
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Oct 26, 2006
Hi,
I got below error in the SQL Server Production Server and i checked in the microsoft site it needs to install SQL Server service pack 4 to resolve the
problem.
"A floating point exception occurred in the user process. Current transaction is canceled"
I need help that i want to reproduce this below problem in the SQL Server environment and tried several ways but no luck.
Please advise me how to reproduce the problem.
Would be appreciate your help.
Regards
Sathish
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I need to write a floating point value to a column in a SQL server database. I have the following line ofcode, that formats the float value before passing it off to the stored procedure.
Please look at the line of code below. Does the 8 after SqlDbType.Foat mean that this will be a floatingpoint with 8 signigicant digits past the decimal point?
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Mar 24, 2004
How can I truncate a floating point number to required number of decimal points
Eg:
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Thanks.
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Oct 8, 2007
Hi.
Intermittently, the following error has been displayed when a SQL job on our box (SQL Server 2000 Service Pack 4 running on Windows 2000) runs.
'A floating point exception occurred in the user process. Current transaction is canceled.' The error number given is 3628 though I've also seen a 4xxx number (not at machine at the moment so cant be precise for the latter).
The intermittent problem over the last two days has become more regular and now does not appear to be related solely to the SQL job. For example, when connecting to the box using my local copy of SQL 2005 Management Studio and I attempt to browse the database objects I get this problem.
To the best of my knowledge, this server has not had any software installed on it and/or nothing has changed on it recently.
It has now got to the point that this particular job no longer runs. The job in question, in case this is significant, is a vanilla stored proc that returns data using OPEN ROWSET to communicate with an Access database (this connectivity has been verified to be okay, in that other similar jobs all run just fine)
If anybody can shed some light and/or point me in the right direction I would be extremely grateful.
Cheers
CG
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Apr 28, 2008
Hi all
I'm a newbie in SQL server and please excuseme for this silly question, Could anyone tell me when i should use which of the following types:
Decimal
Float
Real
I've mixed up !!! all of them can have floating point BUT what's the difference? some advise please!
Thanks in advance.
Kind Regards.
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Since the column is an integer, the query returns only an integer by rounding to the nearest integer. How can I do this? Thanks!
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I'm having a problem that I think is due to corrupt data. Depending on
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1. No results are returned and I get this error:
A floating point exception occured in the user process.
2. Results are returned but there are a different number of rows depending on which columns I use in my Order By clause.
Examples
SELECT * FROM SymbolStats
ORDER BY calc_date, symbol
Returns - 12207 rows but only includes one of the 25 dates in the table.
----------
SELECT * from SymbolStats
ORDER BY current_hv
Returns - 0 rows.
----------
SELECT * from SymbolStats
ORDER BY average_hv
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With more conditions in the WHERE clause the number of results returned varies greatly.
The
fact that different numbers of rows can be returned from the same query
only differing in how they are ordered seems like a bug.
Does this sound like corrupt data? If so, what are the best methods for fixing it?
Thanks,
patrick
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I've tried CAST and CONVERT, but get errors when I try to convert to DOUBLE.
For example...
SELECT CAST(1.0/7.0 AS FLOAT)
SELECT CONVERT(FLOAT, 1.0/7.0)
both give the same 6 decimal place approximation, and the 6 decimals make me think this is single precision.
But I get errors if I try to change the word FLOAT to DOUBLE in either one of those commands...
SELECT CAST(1.0/7.0 AS DOUBLE)
gives "Incorrect syntax near )"
SELECT CONVERT(DOUBLE, 1.0/7.0)
gives "Incorrect syntax near ,"
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Sep 21, 2005
I'm getting this error:
System.Data.SqlClient.SqlException: A floating point exception occurred in the
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System.Data.Common.DbDataAdapter.Update(DataRow[] dataRows, DataTableMapping
tableMapping) at ...etc etc
when updating one particular table, but not when updating another using nearly the same code.
I've searched and searched on the inet, but with no joy.
Microsoft have several different manifestations of it, under various
different circumstances, but the solutions all seem to involve
installing SP4, which by the looks of it is a massive procedure that
you have to go to university to be competent to do.
In any case, according to Enterprise Manager, I already have SP4
included. On the other hand, the one file of mine I checked the date of
against MS's hotfix file list was 2002 not 2003, so who knows?
My Service Manager is v 8.00.760, and it's the Development Edition (ie it's all running on the one machine).
According to the info on sqlDataAdaptor.update, the
sqlError that gets returned as part of the sqlException contains
fields Class, which gives the seriousness of the error, and State,
which identifies the exact error. I get Class=16 (user-fixable)
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meaning of. SQL BO probably sounded like a good idea to W.Gates,
but it took me half an hour to get anywhere near finding out what that
'1' meant. When I did, it was (guess): 'A floating point
exception occurred in the user process. Current transaction is
canceled.' !!!
Can anyone please tell me what exactly might be causing the error?
Graham Rounce
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Aug 20, 2007
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Mar 26, 2008
Hello all,
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I have the following code in a SP. The 2 if statements for the @@ Error I added only for testing as I suddenly started get the following error at the 1st @@Error statement
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I cannot have this SP running minutes it must be done in seconds.
I have tried the folloiwng changes but then it takes to long.
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-- set @new = 'x' + right('0000' + convert(varchar(4), right(round(rand() * 10000, 0),4)), 4)
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@xstsint,
@new_retvarchar(5)
,@Cnt as int /* just for my testing */
set @cnt = 0 /* just for my testing */
[Code] ......
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I was asked to come up with a summary report calculating the number of leads under each status ID - for each PPC_source
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When I run the following sql query:
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OK, so I have this query where I'm trying to subtract values like this, when I do this I am getting (Arithmetic overflow error converting varchar to data type numeric.) I have tried many different things, and now of these work, it'll either return 0 because it loses the .XXXXX.
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I am new to SQL Programming. I am learning the basics. I am trying to create a simple query like this -
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Column_2,
Column_3,
10*Column_1 AS Column_4,
10*Column_2 AS Column_5,
-- I am not being able to understand how to do this particular step Column_1*Column_5 As Column_6
FROM Table_1
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The Column_4 and Column_5 have been created by me, by doing some Calculations related to the original columns.
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I was hoping that I will be able to use the Newly Created Columns 4 and 5 within this same query to do further more calculations, but that does not seems to be the case, or am I doing something wrong here ?
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