Re: [libreoffice-users] Error or what?

2014-02-03 Thread Erik Erlandsson (Nilhe AB)

Hi all,
Thanks for the tip!
I hope this works:
http://shared.59551.x6.nabble.com/Error-or-td2.html

/erik

Sigrid Carrera skrev 2014-02-03 09:58:

Hi Erik,

could you please upload your screenshots somewhere and give us the link?
Attachments are automatically removed, so we don't see what you've sent.

/Sigrid


On 3 February 2014 06:21, Erik Erlandsson (Nilhe AB) 
erik.erlands...@nilhe.se wrote:


Im seeing this odd behavior in a series. Around line 30 additional
decimals are showing up
What am I doing wrong?
Enclosing both screen-shot and spreadsheet as it might look different in
other installations.

I'm using  Version: 4.1.4.2 Build ID: 410m0(Build:2) in Linux debian
3.12-1-amd64 #1 SMP Debian 3.12.6-2 (2013-12-29) x86_64 GNU/Linux

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With kind regards
  Erik Erlandsson


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Re: [libreoffice-users] Error or what?

2014-02-03 Thread Erik Erlandsson (Nilhe AB)

Hi,
It behaves more or less the same in Excel 2003 in Win7.

http://shared.59551.x6.nabble.com/Error-or-Same-thing-in-Excel-td3.html

The formula is from a book on chaos, it describes a way to simulate a 
controlled chaotic sequence:
 take a number, a fraction between zero and one, and double it. Then 
drop the integer part, the part to the left of the decimal point. Then 
repeat the process. Since most numbers are irrational and unpredictable 
in their fine detail, the process will just produce an unpredictable 
sequence of numbers.


I expected something unpredictable, but not this! :)

/erik


On 2014-02-03 21:48, marianne-x wrote:
Interesting, if unsavoury, behaviour. I can confirm the identical 
results from /Curtains 7/, and LO 4.1.4.2. Line 28 marks the spot.
On a second /Curtains 7/ machine, LO deficiencies do not permit 
installation of main-line LO, but the portable version, 4.0.6.2, 
behaves in the same way.
Since LO is not allowed on that 2nd machine, routine work there is 
done with OO 3.3.0, and it, too, behaves identically on this test.


Perhaps someone with access to M$ will try the experiment there, to 
see how universal this phenomenon is.


trj

On 3 February 2014 06:21, Erik Erlandsson (Nilhe AB) 

erik.erlands...@nilhe.se wrote:


Im seeing this odd behavior in a series. Around line 30 additional
decimals are showing up
What am I doing wrong?
Enclosing both screen-shot and spreadsheet as it might look 
different in

other installations.

I'm using  Version: 4.1.4.2 Build ID: 410m0(Build:2) in Linux debian
3.12-1-amd64 #1 SMP Debian 3.12.6-2 (2013-12-29) x86_64 GNU/Linux

--
With kind regards   Erik Erlandsson









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Re: [libreoffice-users] Error or what?

2014-02-03 Thread Erik Erlandsson (Nilhe AB)

Thanks Brian!

I realize that it is a rounding error that adds the decimals.
It actually behaves similarily with percision as shown

But mystery 2 still stays, why does the function kill itself from line 50+ ?

The spreadsheets are enclosed in the postings on nabble, link below image.

Best
/erik
On 2014-02-03 22:20, Brian Barker wrote:

At 06:21 03/02/2014 +0100, Erik Erlandsson wrote:
I'm seeing this odd behavior in a series. Around line 30 additional 
decimals are showing up  What am I doing wrong?


At 20:29 03/02/2014 +0100, Erik Erlandsson (Nilhe AB) wrote:

I hope this works: http://shared.59551.x6.nabble.com/Error-or-td2.html


I'm having to guess, as you've posted a screenshot but not the 
spreadsheet itself.  But your column appears to be calculated by an 
iterative formula, with each row calculated from the previous one.  As 
you do this, rounding errors will be introduced, and these will 
increase in size as you double the value at each step. Since you take 
only the fractional part of the result, the number in each row does 
not generally grow in size, so the rounding errors eventually become 
significant compared with the values you have.


The calculation is probably being carried out internally to around 
fifteen significant figures.  When I try this calculation, rounding 
errors appear at row 8, but only in the fifteenth significant figure.  
This will be happening in your calculation too, but becomes visible 
only in row 26, where the difference begins to show in the nine 
significant figures you chose to display.  Note that the rounding will 
occur in the binary numbers being used in the calculation by your 
computer hardware, not in the decimal values being displayed.  Your 
results all terminate after the first fractional place in decimal, but 
they will not do so in binary, where even 0.1 is the recurring 
fraction 0.0[0011] with those last four digits repeating.


You will see different results - perhaps even those you seek - if you 
tick Tools | Options... | LibreOffice Calc | Calculate | Precision as 
shown.  This causes the displayed value you see to be used in each 
calculation instead of the true value hidden in the cell.


Of course, you could apply some mathematics and find a simpler way of 
calculating these values - which, after the first, simply repeat the 
sequence 0.2, 0.4, 0.8, and 0.6.  One example is:

=MOD(2^(ROW()-1);10)/10
- but this will go awry at row 52, since 2^51 is so large (around 
fifteen digits) that its units digit is no longer reliable.


So here's a better version:
=MOD(2^(MOD(ROW()-2;4)+1);10)/10
- which should work more or less indefinitely, though not for the 
(exceptional) first row.


I trust this helps.

Brian Barker





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Re: [libreoffice-users] Error or what?

2014-02-03 Thread Erik Erlandsson (Nilhe AB)

Hi Brian,

Initially I thought it was a bug, but now I understand more or less what 
is happening in both mysteries
Still, ticking Precision as shown does no difference at all to the 
result even after closing and reopening.


I rest my case, thank you for the education!

/e


On 2014-02-04 06:30, Brian Barker wrote:

At 22:56 03/02/2014 +0100, Erik Erlandsson wrote:

On 2014-02-03 22:20, Brian Barker wrote:

At 06:21 03/02/2014 +0100, Erik Erlandsson wrote:
I'm seeing this odd behavior in a series. Around line 30 
additional decimals are showing up What am I doing wrong?


At 20:29 03/02/2014 +0100, Erik Erlandsson wrote:

I hope this works: http://shared.59551.x6.nabble.com/Error-or-td2.html


I'm having to guess, as you've posted a screenshot but not the 
spreadsheet itself.  But your column appears to be calculated by an 
iterative formula, with each row calculated from the previous one.  
As you do this, rounding errors will be introduced, and these will 
increase in size as you double the value at each step. Since you 
take only the fractional part of the result, the number in each row 
does not generally grow in size, so the rounding errors eventually 
become significant compared with the values you have.


The calculation is probably being carried out internally to around 
fifteen significant figures.  When I try this calculation, rounding 
errors appear at row 8, but only in the fifteenth significant figure.
This will be happening in your calculation too, but becomes visible 
only in row 26, where the difference begins to show in the nine 
significant figures you chose to display.  Note that the rounding 
will occur in the binary numbers being used in the calculation by 
your computer hardware, not in the decimal values being displayed.  
Your results all terminate after the first fractional place in 
decimal, but they will not do so in binary, where even 0.1 is the 
recurring fraction 0.0[0011] with those last four digits repeating.


You will see different results - perhaps even those you seek - if 
you tick Tools | Options... | LibreOffice Calc | Calculate | 
Precision as shown.  This causes the displayed value you see to be 
used in each calculation instead of the true value hidden in the cell.


Of course, you could apply some mathematics and find a simpler way 
of calculating these values - which, after the first, simply repeat 
the sequence 0.2, 0.4, 0.8, and 0.6.  One example is:

=MOD(2^(ROW()-1);10)/10
- but this will go awry at row 52, since 2^51 is so large (around 
fifteen digits) that its units digit is no longer reliable.


So here's a better version:
=MOD(2^(MOD(ROW()-2;4)+1);10)/10
- which should work more or less indefinitely, though not for the 
(exceptional) first row.


At 22:38 03/02/2014 +0100, Erik Erlandsson wrote:

It behaves more or less the same in Excel 2003 in Win7.


It will.  You have called your spreadsheet document Calcbug - but 
this is not a bug, but the inevitable consequence of using a finite 
computing machine.


The formula is from a book on chaos, it describes a way to simulate a 
controlled chaotic sequence: ...


It's perhaps unfortunate, then, that you misrepresented your original 
query, suggesting that it was odd behaviour and asking what you were 
doing wrong.



I expected something unpredictable, but not this!


It's all predictable if you understand what is happening under the 
bonnet (hood).


I realize that it is a rounding error that adds the decimals.  It 
actually behaves similarly with precision as shown


No, with Precision as shown the calculation proceeds differently and 
straightforwardly, since the rounding errors are dropped at each 
stage.  But you may have to save and reopen the document file in order 
to see the difference.


But mystery 2 still stays, why does the function kill itself from 
line 50+ ?


There's no mystery.  The rounding errors become visible at your chosen 
display precision at row 28, but by about row 52 they have started to 
interfere with the single significant digit you are attempting to 
calculate with - so even that becomes unstable. Once the errors happen 
to cause a result to be zero, that special case will be preserved 
without further error.


The spreadsheets are enclosed in the postings on nabble, link below 
image.


Sorry if I missed that earlier.  Fortunately I guessed accurately what 
you were doing.


Brian Barker





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[libreoffice-users] Error or what?

2014-02-02 Thread Erik Erlandsson (Nilhe AB)


Im seeing this odd behavior in a series. Around line 30 additional 
decimals are showing up

What am I doing wrong?
Enclosing both screen-shot and spreadsheet as it might look different in 
other installations.


I'm using  Version: 4.1.4.2 Build ID: 410m0(Build:2) in Linux debian 
3.12-1-amd64 #1 SMP Debian 3.12.6-2 (2013-12-29) x86_64 GNU/Linux


--
With kind regards
 
Erik Erlandsson



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