#12238: a bug in taking n() of a definite integral
------------------------+---------------------------------------------------
   Reporter:  dimpase   |          Owner:  burcin  
       Type:  defect    |         Status:  new     
   Priority:  major     |      Milestone:  sage-4.8
  Component:  calculus  |       Keywords:          
Work_issues:            |       Upstream:  N/A     
   Reviewer:            |         Author:          
     Merged:            |   Dependencies:          
------------------------+---------------------------------------------------
 the following triggers a bug in Sage interface, apparently
 {{{
 sage: integrate(sin(x)*(x^(1/2)),x,0,1).n()
 ERROR: An unexpected error occurred while tokenizing input
 The following traceback may be corrupted or invalid
 The error message is: ('EOF in multi-line statement', (1111, 0))

 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /usr/local/src/sage/sage-4.8.alpha4/spkg/standard/<ipython console> in
 <module>()

 /usr/local/src/sage/sage-4.8.alpha4/local/lib/python2.6/site-
 packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression._numerical_approx
 (sage/symbolic/expression.cpp:18004)()

 /usr/local/src/sage/sage-4.8.alpha4/local/lib/python2.6/site-
 packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression._convert
 (sage/symbolic/expression.cpp:5089)()

 /usr/local/src/sage/sage-4.8.alpha4/local/lib/python2.6/site-
 packages/sage/functions/other.pyc in _evalf_(self, x, parent)
      79         if prec > 53:
      80             raise NotImplementedError, "erf not implemented for
 precision higher than 53"
 ---> 81         return parent(1 - pari(float(x)).erfc())
      82
      83     def _derivative_(self, x, diff_param=None):

 /usr/local/src/sage/sage-4.8.alpha4/local/lib/python2.6/site-
 packages/sage/rings/complex_number.so in
 sage.rings.complex_number.ComplexNumber.__float__
 (sage/rings/complex_number.c:7501)()

 TypeError: Unable to convert -0.707106781186547 + 0.707106781186547*I to
 float; use abs() or real_part() as desired
 }}}

 a comment on IRC:
 {{{
 vbraun: should be return parent(1 - pari(x).erfc())
 vbraun: I guess
 vbraun: or maybe cast to complex
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12238>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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