Floating Point Calculations...

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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[URL] ....

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