#18888: failing optional mathematica tests, due to bugs in N() and n()
-------------------------------------+-------------------------------------
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 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
}}}
Have they become identical now?
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?
--
Ticket URL: <http://trac.sagemath.org/ticket/18888#comment:42>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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