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Re: More problems with SetPrecision[] and/or $MinPrecision,...

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57025] Re: More problems with SetPrecision[] and/or $MinPrecision,...
  • From: dh <dh at metrohm.ch>
  • Date: Thu, 12 May 2005 02:34:30 -0400 (EDT)
  • References: <d5sjpu$nph$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Terry,
MMA version: 5.1, Windows
in my case everything work as it should.
I get:
0.x10^-21
this is the correct answer for a value of zero that has an accuracy of 
21 and (by definition) zero precision
Sincerely, Daniel

terryisnow at yahoo.com wrote:
> Dear Mathematica Guru's,
> 
> Lately I seem to be finding a lot of SetPrecision[]/$MinPrecision bugs.
> This appears to be another one:
> 
> In[1]:= $MinPrecision = 20;
> 
>         savedData1 = 669151541.9328941107875;
>         savedData2 = 0.99960472897267246018765;
>         savedData3 = Log[savedData1^savedData2/savedData1^savedData2];
> 
>         Print[Apply[Plus, savedData3 -
> Log[savedData1^savedData2/savedData1^savedData2]] ];
> 
>         x = 0.99960472897267245645;
>         y = 669151541.932894110712;
>         Do[
>            z = SetPrecision[y,24]^x;
>         ,{50000}];
> 
>         Print[Apply[Plus, savedData3 -
> Log[savedData1^savedData2/savedData1^savedData2]] ];
> 
> The output looks like this on my Mathematica 3.0 system:
> 
>         0
>         1.9586707534418188626 x 10^-30
> 
> Obviously the question is why is the second Print statement not
> also returning a 0, after all the code that runs between the two
> Print statements neither changes any of the variables referenced
> by the two Print statements, nor even references any of the same
> variables.
> 
> The problem maybe reproducible without the $MinPrecision but with
> this specific test case it is needed (there might however be other
> constants that can reproduce the problem without $MinPrecision).
> 
> Can someone also run this on a more recent version of Mathematica
> to see if it reproduces? All help is very much appreciated!
> 
> Terry
> 


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