#12238: a bug in taking n() of a definite integral
-------------------------+--------------------------------------------------
    Reporter:  dimpase   |         Owner:  burcin                        
        Type:  defect    |        Status:  closed                        
    Priority:  major     |     Milestone:  sage-duplicate/invalid/wontfix
   Component:  calculus  |    Resolution:  duplicate                     
    Keywords:            |   Work_issues:                                
    Upstream:  N/A       |      Reviewer:  Volker Braun                  
      Author:            |        Merged:                                
Dependencies:            |  
-------------------------+--------------------------------------------------
Changes (by jdemeyer):

  * status:  positive_review => closed
  * resolution:  => duplicate
  * milestone:  sage-4.8 => sage-duplicate/invalid/wontfix


Old description:

> 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
> }}}

New description:

 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
 }}}

 See #11948 instead.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12238#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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