#4446: [with patches, needs review] New module complex_mpc using lib mpc for
complex multiprecision arithmetic
-------------------------------+--------------------------------------------
 Reporter:  thevenyp           |        Owner:  mabshoff  
     Type:  enhancement        |       Status:  new       
 Priority:  major              |    Milestone:  sage-3.2.2
Component:  optional packages  |   Resolution:            
 Keywords:                     |  
-------------------------------+--------------------------------------------
Changes (by AlexGhitza):

  * summary:  [with patch, needs more doctests] New module complex_mpc
              using lib mpc for complex multiprecision
              arithmetic => [with patches, needs review] New
              module complex_mpc using lib mpc for complex
              multiprecision arithmetic

Comment:

 I added a patch trac4446_doctests.patch, which does a number of things:

  * adds doctests for all functions except three internal use only
 functions
  * changes _repr_ of complex numbers so that it agrees with the way
 complex numbers are currently printed in Sage
  * makes MPComplexField inherit from ParentWithGens, being generated over
 its real field by the square root of -1 (just as it is now); this required
 adding a few functions.  So now one can do

 {{{
 sage: from sage.rings.complex_mpc import MPComplexField
 sage: MPC.<j> = MPComplexField()
 sage: j^2
 -1.00000000000000 + 0.000000000000000*I
 }}}

 Note that only the last three patches should be applied, in order:
 complex_mpc.p0.patch, trac4446_fix.patch, and trac4446_doctests.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4446#comment:7>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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