#11273: Riemann Enhancements: Docs, Exterior, Multiple Spiderweb, Error Testing
-----------------------------------+----------------------------------------
       Reporter:  evanandel        |         Owner:  burcin                     
       
           Type:  enhancement      |        Status:  needs_review               
       
       Priority:  major            |     Milestone:  sage-5.6                   
       
      Component:  calculus         |    Resolution:                             
       
       Keywords:  riemann map      |   Work issues:                             
       
Report Upstream:  N/A              |     Reviewers:  Burcin Erocal, Karl-Dieter 
Crisman
        Authors:  Ethan Van Andel  |     Merged in:                             
       
   Dependencies:  #11028           |      Stopgaps:                             
       
-----------------------------------+----------------------------------------

Comment (by jdemeyer):

 For a particular build of ATLAS, this still gives
 {{{
 sage -t  "devel/sage/sage/calculus/riemann.pyx"
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 675:
     sage: m.inverse_riemann_map(0.5 + sqrt(-0.5))
 Expected:
     (0.406880...+0.3614702...j)
 Got:
     (0.26609535153324926-0.71596339253951613j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 677:
     sage: m.inverse_riemann_map(0.95)
 Expected:
     (0.486319...-4.90019052...j)
 Got:
     (-0.47636117038850095-0.31131054266912134j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 679:
     sage: m.inverse_riemann_map(0.25 - 0.3*I)
 Expected:
     (0.1653244...-0.180936...j)
 Got:
     (-0.22158720103166435+0.057314947441646828j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 682:
     sage: m.inverse_riemann_map(np.complex(-0.2, 0.5))
 Expected:
     (-0.156280...+0.321819...j)
 Got:
     (0.30335339499315012-0.10111072188371266j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 783:
     sage: print data[0][8,1]
 Expected:
     (-0.0879...+0.9709...j)
 Got:
     (-0.596032167594-0.809542574347j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 1086:
     sage: dr[8,8]
 Expected:
     0.241...
 Got:
     0.27207542829155734
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 1088:
     sage: dtheta[5,5]
 Expected:
     5.907...
 Got:
     5.664338752865179
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 1440:
     sage: abs(m.riemann_map(.5)-analytic_interior(.5, 20, .3)) < 10^-6
 Expected:
     True
 Got:
     False
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 411:
     sage: s(3*pi / 4)
 Expected:
     0.0012158...
 Got:
     0.0011753476894319776
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 484:
     sage: s(3*pi / 4)
 Expected:
     1.627660...
 Got:
     -2.2112992320625007
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 589:
     sage: m.riemann_map(0.25 + sqrt(-0.5))
 Expected:
     (0.137514...+0.876696...j)
 Got:
     (-0.72646985217696924-0.51090507937918783j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 591:
     sage: m.riemann_map(1.3*I)
 Expected:
     (-1.56...e-05+0.989694...j)
 Got:
     (-0.70519318141122977-0.76115177043780835j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 594:
     sage: m.riemann_map(0.4)
 Expected:
     (0.73324...+3.2...e-06j)
 Got:
     (-0.45716531868823951+0.52177153514479202j)
 **********************************************************************
 File "/home/buildbot/sage-5.6.rc1/devel/sage/sage/calculus/riemann.pyx",
 line 597:
     sage: m.riemann_map(np.complex(-3, 0.0001))
 Expected:
     (1.405757...e-05+8.06...e-10j)
 Got:
     (-0.014156297786253731+0.012030907696686667j)
 **********************************************************************
 }}}

 These failures aren't new, but it would be good to fix them.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11273#comment:20>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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