#13097: integral of ln(1+4/5*sin(x)) from -3.1415 to 3.1415 crashes Maxima and 
Sage
----------------------------+-----------------------------------------------
       Reporter:  kcrisman  |         Owner:  burcin  
           Type:  defect    |        Status:  new     
       Priority:  major     |     Milestone:  sage-5.1
      Component:  calculus  |    Resolution:          
       Keywords:            |   Work issues:          
Report Upstream:  N/A       |     Reviewers:          
        Authors:            |     Merged in:          
   Dependencies:            |      Stopgaps:          
----------------------------+-----------------------------------------------

Comment (by nbruin):

 I don't think maxima understands `ln`. If you do
 {{{
 maxima_calculus(" integrate(log(1+4/5*sin(x)), x, -3.1415, 3.1415);")
 }}}
 you see the same thing happening. No problem in vanilla maxima. But when
 we load `abs_integrate`:
 {{{
 (%i1) load(abs_integrate);
 (%o1)
 
/usr/local/sage/5.0/local/share/maxima/5.26.0/share/contrib/integration/abs_integrate.mac
 (%i2) integrate(log(1+4/5*sin(x)), x, -3.1415, 3.1415);
 ...
 Condition of type: STACK-OVERFLOW
 BINDING-STACK overflow at size 8448. Stack can probably be resized.
 }}}
 FYI: with
 {{{
 from sage.interfaces.maxima_lib import *
 from sage.libs.ecl import *
 args=(ln(1+4/5*sin(x)), x, -3.1415, 3.1415)
 I=EclObject(([max_integrate],[sr_to_max(SR(a)) for a in args]))
 I
 }}}
 you see what expression gets passed to maxima_lib. With
 {{{
 EclObject('#$integrate(log(1+4/5*sin(x)), x, -3.1415, 3.1415)$')
 }}}
 you see what maxima's parser would produce. With
 {{{
 maxima_eval(I)
 }}}
 you can trigger the same explosion. Note that with this trick, you can
 quickly see that
 {{{
 EclObject('#$integrate(ln(1+4/5*sin(x)), x, -3.1415, 3.1415)$')
 }}}
 creates an essentially different expression.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13097#comment:4>
Sage <http://www.sagemath.org>
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