#18888: failing optional mathematica tests, due to bugs in N() and n()
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Reporter: slabbe | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: interfaces: | Resolution:
optional | Merged in:
Keywords: mathematica | Reviewers: Matthias Koeppe
Authors: | Work issues: fix `N()` and `n()`
Report Upstream: N/A | Commit:
Branch: public/18888 | 53e76e679a7c411aa4f193dabca0d8281fdaf052
Dependencies: | Stopgaps:
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Comment (by dimpase):
Replying to [comment:42 yzh]:
> With Mathematica 10.3.1 for Mac OS X x86 (64-bit), all tests passed.
>
> The old doctests showed that the results of `math_bessel_K(nu,x)` were
different on 32-bit and 64-bit machines.
> {{{
> @@ -310,14 +306,13 @@ For more details, see the documentation for
``._sage_()``.
> OTHER Examples::
>
> sage: def math_bessel_K(nu,x):
> ... return mathematica(nu).BesselK(x).N(20)
> ...
> sage: math_bessel_K(2,I) # optional -
mathematica
> - 0.180489972066962*I - 2.592886175491197 # 32-bit
> - -2.59288617549119697817 + 0.18048997206696202663*I # 64-bit
> + -2.5928861754911969782 + 0.1804899720669620266 I
> }}}
the difference was due to a bug that is now fixed, I think.
> Have they become identical now?
they should be.
I don't have 32-bit Mathematical to test, but I think it should be the
same.
>
> Also, I was puzzled by the discrepancy between
> {{{
> sage: mathematica('Pi').N(10)
> 3.141592654
> }}}
> and
> {{{
> sage: mathematica('Pi').n(10)
> 3.1
> }}}
> After reading up on the code, I understand that `MathematicaElement.N()`
sets the precision in decimal digits, whereas `MathematicaElement.n()`
sets the precision in bits, so that the two examples above behave as
> {{{
> sage: pi.n(digits=10)
> 3.141592654
> }}}
> and
> {{{
> sage: pi.n(10)
> 3.1
> }}}
> respectively.
> Is such difference between `.N()` and `.n()` intended for
`MathematicaElement`? Then maybe this should be specified in the
documentations? Does it make sense to implement
`mathematica('Pi').n(digits=10)` as well?
the idea is that N() is a Mathematica function, and n() is a Sage
function.
--
Ticket URL: <http://trac.sagemath.org/ticket/18888#comment:43>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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