#4807: bug in exponential integral
----------------------+-----------------------------------------------------
 Reporter:  wdj       |        Owner:  burcin    
     Type:  defect    |       Status:  new       
 Priority:  major     |    Milestone:  sage-3.4.1
Component:  calculus  |   Resolution:            
 Keywords:            |  
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Comment (by was):

 Mike Hansen observes that one could implement Ei in *general* and with
 arbitrary precision by using the library "mpmath", which just happens to
 already be in Sage.  That library can be made fast if we included gmpy or
 hack it to use our integers.

 {{{
 sage: import sympy.mpmath as a
 sage: a.ei(complex(2r,3r))
 mpc(real='-0.3615519445996403', imag='5.2705484358136943')
 sage: a.mp.prec = 1000
 sage:
 a.ei('20.1000000000000000000000000000000000000000000000000000000000000000000')
 
mpf('28160453.3833994153950012661507902048168259435687244439573563929054452528467189574883919398422855919158391624626109323992762879680063235714851415880668470266487381859473426294489489391883476549497496312702303650499027252495570681212146125439331860229395375385300595969122490770779143241578042047266845835')
 }}}

 So this is an alternative approach to fixing this bug and greatly
 improving

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4807#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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