#13364: Upgrade Maxima to 5.29.1
-------------------------------------+--------------------------------------
Reporter: kcrisman | Owner: tbd
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.6
Component: packages | Resolution:
Keywords: maxima spkg | Work issues: fix doctests, build with
latest ECL, fix `spkg-install`
Report Upstream: N/A | Reviewers: Karl-Dieter Crisman,
François Bissey, Leif Leonhardy
Authors: Jean-Pierre Flori | Merged in:
Dependencies: #13324 | Stopgaps:
-------------------------------------+--------------------------------------
Comment (by dimpase):
Replying to [comment:48 leif]:
> Back to integration:
>
> Did anyone try using `cos()` instead? After apparently "deep thinking",
I for example get:
> {{{
> sage: integrate(abs(cos(x)),x,0,pi)
> -1
> sage: integrate(abs(cos(x)),x,0,2*pi)
> 0
> sage: integrate(abs(cos(x)),1/2*pi,3/2*pi)
> -2
> }}}
>
> Unless I'm missing something...
same for 5.1. So I suppose this is a bug in Maxima 5.26, which remained in
5.29. Oh dear. Both 5.26 and 5.29 give the following nonsense:
{{{
sage: from sage.symbolic.integration.external import maxima_integrator
sage: g(x)=maxima_integrator(abs(cos(x)), x); g(x)
-((2*sin(x)/((cos(x) + 1)*(sin(x)^2/(cos(x) + 1)^2 + 1)) -
1)*sgn(sin(x)/(cos(x) + 1) - 1) - 2)*sgn(sin(x)/(cos(x) + 1) + 1)
sage: g(0)
1
sage: g.limit(x=pi)
x |--> 0
}}}
This, indeed, one gets -1...
they also both "can" compute maxima_integrator(abs(sin(x)), x)...
{{{
sage: g(x)=maxima_integrator(abs(sin(x)), x); g(x)
-(2*sin(x)*arctan(sin(x)/(cos(x) + 1))/(cos(x) + 1) -
log(2))*sgn(1/(cos(x) + 1))*sgn(sin(x)) + log(sin(x)^2/(cos(x) + 1)^2 +
1)*sgn(1/(cos(x) + 1))*sgn(sin(x)) - log(2*sin(x)^2/(cos(x) + 1)^2 +
2)*sgn(1/(cos(x) + 1))*sgn(sin(x)) + 2*(sin(x)/((cos(x) +
1)*(sin(x)^2/(cos(x) + 1)^2 + 1)) + arctan(sin(x)/(cos(x) +
1)))*abs(sin(x))/abs(cos(x) + 1)
sage: g(0)
0
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13364#comment:51>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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