Hello, David

You wrote 4 августа 2010 г., 14:49:47:
> 8:
>      sage: maxima('asinh(1.0)')
> Expected:
>      0.881373587019543
> Got:
>      .8813735870195429
> Clearly  there  is  some  numerical  noise  issues, which need to be
> investigated, but are probably trivial.

I  think that it is more than trivial issues. You can't require maxima
or any other numerical program to return same results up to 16th digit
with every combination of CPU, compiler, optimization settings.

You  can  get 0,.......543 when you compile with -O1, and 0,.......999
when  you  compile with -O2. Well, you can try to make results same up
to  the  last  bit,  but  it is hard to achieve even with optimization
turned  off.

The  right  move is to compare results using only 10-14 leading digits
(depending  on  problem and its stability properties). However I don't
know  how  to  do  it  using doctest framework. Python tries to output
numbers  with  full  precision,  and  there  is no way to tell doctest
framework to compare decimal fractions using only N leading digits.


-- 
With best regards,
 Sergey                          mailto:sergey.bochka...@alglib.net

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