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# Discrepancy in Rounding the numbers

Venkatesan Ramalingam
Greenhorn
Posts: 6
Why Java and Oracle have a different approach in rounding the numbers with decimals?

In Java,
Math.round(1.5) gives the output as 2
Math.round(-1.5) gives the output as -1

In Oracle,
select round(1.5) from dual gives the output as 2
select round(-1.5) from dual gives the output as 2

If we look the outputs in both the platforms, positive rounding works fine as expected. But not the negative rounding.

This leads to produce mismatch reports which dealing with numbers and calculations.

Ilja Preuss
author
Sheriff
Posts: 14112
Well, probably because SQL and Java were specified by different people. There is no generally accepted procedure for rounding in mathematics...

Campbell Ritchie
Sheriff
Posts: 48921
58
Don't know. I googled for rounding, and found a couple of discussions. Here, and here. There doesn't seem to be a consistent definition of rounding.

But at least round 2.5->3 and 3.5->4 is consistent. In which case, you round up on halves. So -1.5 rounds UP to -1. Yes, -1 is more than -1.5. Which is similar to what it says in the API specification for java.lang.Math.

CR

Ilja Preuss
author
Sheriff
Posts: 14112
Perhaps Oracle/SQL uses the odd/even rule: http://ts.nist.gov/ts/htdocs/230/235/vtmpresent/5pretest/tsld027.htm

Peter Chase
Ranch Hand
Posts: 1970
In general, I would think that if you care about the exact results of functions, with exact parameters, then you should not be using floating-point (float, double).

Any floating-point number, represented in a computer, is potentially inexact. Some numbers can be represented exactly, but it depends upon the precise details of the floating-point representation used. You should try to avoid making your code depend on that.

If you care about exact numbers, use integer arithmetic (maybe with implicit scaling, for fixed decimal places) or maybe BigDecimal.

This is particularly crucial for financial calculations. With the possible exception of some complicated derivatives, on which I am unqualified to comment, financial calculations should never be done in floating point.