#14567: Refactor continued fractions
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       Reporter:  vdelecroix                                    |         
Owner:  vdelecroix
           Type:  enhancement                                   |        
Status:  new       
       Priority:  major                                         |     
Milestone:  sage-5.10 
      Component:  number theory                                 |    
Resolution:            
       Keywords:  continued fractions, numerical approximation  |   Work 
issues:            
Report Upstream:  N/A                                           |     
Reviewers:            
        Authors:  vdelecroix                                    |     Merged 
in:            
   Dependencies:  #13213, #13957, #14563, #14568                |      
Stopgaps:            
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Changes (by vdelecroix):

  * dependencies:  #13213, #13957, #14563 => #13213, #13957, #14563, #14568


Old description:

> Continued fractions (in sage.rings.contfrac) does not what we expect:
>  * it only deals with rational numbers
>  * there is no dedicated method for numerical approximations (which is
> one of the first aim of continued fractions)
>  * there is no bridge with words (sage.combinat.words)
>
> Moreover, categories are not properly initialized nor used.
>
> The patch proposed here improves the current version.
>
> Related tickets:
>  * #11345

New description:

 Continued fractions (in sage.rings.contfrac) do not do what we expect:
  * it only deals with rational numbers
  * there is no dedicated method for numerical approximations (which is one
 of the first aim of continued fractions)
  * there is no bridge with words (sage.combinat.words)
  * there is no bridge with quadratic numbers (see also #11345)

 Moreover, categories are not properly initialized nor used.

 The patch proposed here improves the current version by addressing the
 four issues above.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14567#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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