#19620: fast (lazy) infinite words
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/19620                 |  1e506ee2885dc086f24973db538dc4682ace1e01
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 Right. For me a word already has some combinatorial flavour. It is already
 a mathematical object. The `lazy_list` would be one possible backend. An
 other one (which is the object of this ticket) is using a reallocable
 `char *`.

 Note that you can avoid precomputations with word initialization with the
 option `check=False`
 {{{
 sage: W = Words()
 sage: w = W(lambda n: haha[n], check=False)  # no precomputation
 sage: w[0]
 Traceback (most recent call last):
 ...
 NameError: global name 'haha' is not defined
 }}}
 Ideally you should start with `W = W = Words(SymmetricFunctions(QQ))` but
 that ends up with `AttributeError: 'SymmetricFunctions_with_category'
 object has no attribute 'cardinality'`.

--
Ticket URL: <http://trac.sagemath.org/ticket/19620#comment:15>
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