On Mar 10, 6:36 am, Felix Lawrence <fe...@physics.usyd.edu.au> wrote:
> Hi David,
>
> I haven't looked into these since #3587 rewrote
> MathematicaElement._sage_() for mathematica objects, but I did a bit
> of work getting the generic ExpectElement._sage_() to work with
> mathematica lists.  Mathematica does return different results
> depending on whether it's running in 32-bit or 64 bit modes.  This was
> on a mac.
>
> Furthermore I recall seeing complex numbers from mathematica commonly
> printed with the imaginary part first.  Futhermore for particularly
> long outputs from mathematica, it would seemingly randomly intersperse
> '\n' new line characters with '\r\n' new line characters, which would
> mess up any sage_eval()s.
>
> So don't expect mathematica to give consistent, well-behaved output!
>
> BTW
> sage: def math_bessel_K(nu,x):
>      ...       return mathematica(nu).BesselK(x).N(20).sage()
>      ...
>      sage: math_bessel_K(2,I)
>
> now gives me an error: NotImplementedError: Unable to parse
> Mathematica output:
> -2.5928861754911969781676606702635284285719718407749199115289`20.149465350282203
> +
>
> 0.1804899720669620266296208808560650432663536549483055754141`18.99213497581376*i
>
> Does this work on anyone else's machine?  I think #3587 may be
> responsible for the breakage.  I'll look into this.
>
> Cheers,
> Felix

I got that failure - I think I reported it here.

There may be some way of getting a consistent output. I'll ask on
sci.math.symbolic, where some Wolfram Research employees hang out.

It may be the only way to get a semi-consistant result is to use the
Mathlink protocol, but that would require linking to a proprietry
library, so it could only be possible as an optional package, as
otherwise it would breach the GPL.

I'm really surprised by the outputting of the imaginary component of a
number before the real.

Dave

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