Opened 9 years ago

Closed 9 years ago

#12237 closed defect (duplicate)

erf of complex arguments

Reported by: vbraun Owned by: jason, jkantor
Priority: major Milestone: sage-duplicate/invalid/wontfix
Component: numerical Keywords:
Cc: Merged in:
Authors: Reviewers: Jeroen Demeyer
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

Status badges

Description (last modified by jdemeyer)

The erf function doesn't work for complex arguments, even though we use Pari and Pari does support it. This is also annoying because maxima sometimes returns erf(complex argument) in integrations: 

sage: integrate(sin(x)*(x^(1/2)),x,0,1)
-1/8*((I + 1)*sqrt(2)*erf((1/2*I - 1/2)*sqrt(2)) + (I - 1)*sqrt(2)*erf((1/2*I + 1/2)*sqrt(2)))*sqrt(pi) - cos(1)
sage: _.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)

/home/vbraun/opt/sage-weak/sage-4.8.alpha5/<ipython console> in <module>()

/home/vbraun/opt/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)()

/home/vbraun/opt/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)()

/home/vbraun/opt/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):

/home/vbraun/opt/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

See #11948 for a better solution.

Attachments (1)

trac_12237_complex_erfc.patch​ (1.8 KB) - added by vbraun 9 years ago.
Initial patch

Download all attachments as: .zip

Change History (4)

Changed 9 years ago by vbraun

Initial patch

comment:1 follow-up: Changed 9 years ago by vbraun

  • Description modified (diff)
  • Status changed from new to needs_review

comment:2 in reply to: ↑ 1 Changed 9 years ago by dimpase

  • Status changed from needs_review to positive_review

Replying to vbraun:

it works on MacOSX, and otherwise makes sense, too.

comment:3 Changed 9 years ago by jdemeyer

  • Authors Volker Braun deleted
  • Description modified (diff)
  • Milestone changed from sage-4.8 to sage-duplicate/invalid/wontfix
  • Resolution set to duplicate
  • Reviewers set to Jeroen Demeyer
  • Status changed from positive_review to closed

Already fixed by #11948, so closing as "duplicate".

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