#6648: [with patch, needs review] adds riemann mapping and complex interpolation
-------------------------+--------------------------------------------------
 Reporter:  evanandel    |       Owner:  evanandel      
     Type:  enhancement  |      Status:  new            
 Priority:  major        |   Milestone:  sage-4.1.1     
Component:  calculus     |    Keywords:  complex        
 Reviewer:               |      Author:  Ethan Van Andel
   Merged:               |  
-------------------------+--------------------------------------------------

Comment(by wdj):

 I applied only the 2nd patch to 4.1.1.a0. It seemed to work fine trying
 out several examples form the docstrings by had. However, on an intel
 macbook running 10.4.11 there were several failures of sage -testall:

 {{{
         sage -t  "devel/sage/doc/en/bordeaux_2008/birds_other.rst"
         sage -t  "devel/sage/sage/calculus/interpolators.pyx"
         sage -t  "devel/sage/sage/interfaces/psage.py"
         sage -t  "devel/sage/sage/interfaces/sage0.py"
         sage -t  "devel/sage/sage/parallel/decorate.py"
         sage -t  "devel/sage/sage/symbolic/expression.pyx"
 }}}

 Some of these are probably spurious but some are not:

 {{{
 zeus:~/sagefiles/sage-4.1.1.alpha0 davidjoyner$ ./sage -t
 "devel/sage/sage/calculus/interpolators.pyx"
 sage -t  "devel/sage/sage/calculus/interpolators.pyx"
 **********************************************************************
 File
 
"/Users/davidjoyner/sagefiles/sage-4.1.1.alpha0/devel/sage/sage/calculus/interpolators.pyx",
 line 89:
     sage: ps.value(10)
 Expected:
     (0.2676045526483728+1j)
 Got:
     (0.26760455264837191+1j)
 **********************************************************************
 File
 
"/Users/davidjoyner/sagefiles/sage-4.1.1.alpha0/devel/sage/sage/calculus/interpolators.pyx",
 line 146:
     sage: cs.derivative(2)
 Expected:
     (-0.049776540658333007+0.15109500643420509j)
 Got:
     (-0.049776539604289502+0.15109500674962709j)
 **********************************************************************
 File
 
"/Users/davidjoyner/sagefiles/sage-4.1.1.alpha0/devel/sage/sage/calculus/interpolators.pyx",
 line 221:
     sage: cs.derivative(3/5)
 Expected:
     (1.4057889232733602-0.22541713632654017j)
 Got:
     (1.4057889243877602-0.22541713160563243j)
 **********************************************************************
 File
 
"/Users/davidjoyner/sagefiles/sage-4.1.1.alpha0/devel/sage/sage/calculus/interpolators.pyx",
 line 225:
     sage: cs.derivative(-6)
 Expected:
     (2.5204769294914593-1.8939258831078529j)
 Got:
     (2.5204768628640499-1.8939257072489877j)
 **********************************************************************
 3 items had failures:
    1 of   7 in __main__.example_2
    1 of  12 in __main__.example_4
    2 of   7 in __main__.example_6
 ***Test Failed*** 4 failures.
 For whitespace errors, see the file
 /Users/davidjoyner/sagefiles/sage-4.1.1.alpha0/tmp/.doctest_interpolators.py
          [45.7 s]
 exit code: 1024

 ----------------------------------------------------------------------
 The following tests failed:


         sage -t  "devel/sage/sage/calculus/interpolators.pyx"
 }}}

 This looks like numerical noise but I'm not sure. In any case, it is in a
 file you modified, so it
 is probably not spurious.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6648#comment:4>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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