Just out of curiosity, how many possible rounding rules can there be? I 
shouldn’t imagine more than a handful. I don’t remember where I saw it, but 
some application I used in the past had options to choose which of several 
rounding rules you wanted to use. (I also don’t recall if this was financial 
software or not, sorry.)

I would think the solution (if the set of rules is in fact small) is to 
implement them all and let the user choose the one they wanted/needed. Thus it 
isn’t ‘impossible’ to solve, just as usual, not as easy as it first looks.

Regards,
Adrien

> On May 23, 2018, at 7:39 AM, Mike or Penny Novack 
> <stepbystepf...@dialup4less.com> wrote:
> 
> There is no solution to this. Among other things, it would be dependent on 
> the rules of the jurisdiction whether the tax is supposed to be figured per 
> item or on the total of all taxable items. So what would fix it in one case 
> would break it in the other. It simply is true that rounded(a) + rounded(b) 
> may not equal rounded(a+b). One of the things I used to do in my working days 
> was to calculate the correct "fuzz" (maximum discrepancy) for comparison 
> tests << effective equality >>
> 
> It is not only with this that we have a problem. Those of us who keep books 
> to exact amounts but must file with governmental agencies on a whole dollar 
> basis know how much "fun" it is deciding which amounts to juggle up or down 
> (what is the LEAST alteration) as necessary to the book amounts to make the 
> whole dollar report come out right. This this year, for one organization, 
> fudging two amounts by a few cents was enough to make the 990-EZ come out 
> right.
> 
> BTW, there are analogous problems with things like figuring amortization 
> tables for loans )) how much of each payment is interest and how much 
> principle). There is no "right" way to do this and so any function used by a 
> program might not match what the particular bank says. In cases like these we 
> can't ask that the program be "fixed" to agree.
> 
> Michael D Novack
> 
> 
> On 5/22/2018 9:11 PM, Matthew Pounsett wrote:
>> I've got an off-by-a-cent error on an invoice due to the way taxes are
>> calculated.  GnuCash (2.6.21) is calculating the tax on each individual
>> taxable item, then summing that up, and adding that value to the subtotal.
>> This causes an error because each individual tax calculation is rounded
>> prior to subtotalling.
>> 
>> Given a tax rate of 13%, GnuCash is doing this:
>> 
>>             Item     Tax
>>           277.50   36.08
>>            92.50   12.03
>> Subtotal: 370.00 + 48.11 = 418.11
>> 
>> When the real calculation should be:
>> 
>>             Item      Tax
>>           277.50   36.075
>>            92.50   12.025
>> Subtotal: 370.00 + 48.100 = 418.10
>> 
>> This could be fixed by GnuCash not rounding tax amounts until the final
>> total, but typically I believe the calculation done is to add up all the
>> taxable items and apply the tax calculation to that subtotal, so that it's
>> not necessary to track many decimal places to avoid a rounding error.
>> 
>> I did some searching through the mailing lists and I see a lot of reported
>> issues about rounding errors in GnuCash 2.x.  I can work around this by
>> putting in an extra line item to correct the taxes, but it would be nice
>> not to have to do that.  Is this something that's been fixed in 3.x?  I've
>> been avoiding the update because I haven't had time for a careful
>> migration, and testing whether I'm affected by any of the various issues
>> that have been reported since its release.  But, this might be a reason to
>> set that time aside.
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> 
> 
> -- 
> There is no possibility of social justice on a dead planet except the 
> equality of the grave.
> 
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