#11946: Finite fields: add "primitive_element" as alias for
"multiplicative_generator"
------------------------------+---------------------------------------------
   Reporter:  jdemeyer        |          Owner:  was           
       Type:  enhancement     |         Status:  needs_review  
   Priority:  major           |      Milestone:  sage-4.7.3    
  Component:  user interface  |       Keywords:  GF            
Work_issues:                  |       Upstream:  N/A           
   Reviewer:                  |         Author:  Jeroen Demeyer
     Merged:                  |   Dependencies:                
------------------------------+---------------------------------------------

Comment(by kini):

 Silly question, but why not just do this?

 {{{
 #!diff
 diff --git a/sage/rings/finite_rings/finite_field_base.pyx
 b/sage/rings/finite_rings/finite_field_base.pyx
 --- a/sage/rings/finite_rings/finite_field_base.pyx
 +++ b/sage/rings/finite_rings/finite_field_base.pyx
 @@ -87,6 +87,7 @@
          """
          from sage.categories.finite_fields import FiniteFields
          Field.__init__(self, base, names, normalize,
 category=FiniteFields())
 +        self.primitive_element = self.multiplicative_generator

      def __repr__(self):
          """
 }}}

 The docstring you wrote is basically the same as the docstring for
 `multiplicative_generator`, so eliminating it will avoid double-
 maintenance pitfalls. And this way you don't get one more call frame on
 the stack when using the function. ... right?

 And something else a bit bizarre is happening. With the diff I pasted
 above, the second test produces the output `a`, which matches the last
 doctest in the docstring of the `multiplicative_generator` method. But
 your patch gives `a + 5`, even though it's just calling
 `multiplicative_generator`, and also produces a large number of messages
 in `stderr` (which are therefore not noticed by `sage -t`); they all read
 as follows:
 {{{
   ***   Warning: Mod(a,b)^n with n >> b : wasteful.
 }}}
 What's going on?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11946#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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