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

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