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   * faster    * faster [some caching will be implemented]
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   * consider using Streams and (Lazy)Familys here.    * '''Franco''': consider using Streams and (Lazy)Familys here. [Streams doesn't exactly do what we need, but the ideas are interesting (caching)]
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   * allow for words over arbitrary alphabets? (example, the alphabet of the elements of a group)    * '''Franco''': allow for words over arbitrary alphabets? (example, the alphabet of the elements of a group) [Franco can implement any CombinatorialClass as an alphabet]
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   * Language
   * FixedPointOfMorphism (things like the language, complexity, ..., can be computed).
   * '''Sebastien, Vincent''': Language
   * '''Vincent''': FixedPointOfMorphism (things like the language, complexity, ..., can be computed).
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   * Dyck Word, discussions about getting DyckWord to inherit from WordPaths, comparisons of efficiency.    * Dyck Word, discussions about getting DyckWord to inherit from Language, comparisons of efficiency.
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   * Add Random Word and Random Testing    * [needs fixing] Add Random Word (combine arguments m and alphabet)
   * fix random_element for Words
   * Random Testing (how do we do this?)
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   * trac #4954: Words_over_Alphabet should check the type of input alphabet    * trac #4954: Words_over_Alphabet should check the type of input alphabet (related to allowing CombinatorialClass as alphabets)

Words Sprint (FrancoSaliola, Sébastien Labbé, Vincent Delecroix)

  • New implementation for words:
    • faster [some caching will be implemented]
    • space efficient
    • special class for words over an alphabet of at most two letters (each letter takes one bit)
    • Franco: consider using Streams and (Lazy)Familys here. [Streams doesn't exactly do what we need, but the ideas are interesting (caching)]

    • discussion about the content-datastructure-as-subobject (anti?)design pattern
    • Franco: allow for words over arbitrary alphabets? (example, the alphabet of the elements of a group) [Franco can implement any CombinatorialClass as an alphabet]

  • New classes:
    • Sebastien, Vincent: Language

    • Vincent: FixedPointOfMorphism (things like the language, complexity, ..., can be computed).

    • Lyndon word class
    • Dyck Word, discussions about getting DyckWord to inherit from Language, comparisons of efficiency.

    • bi-infinite words, or more generally, words indexed by objects other than integers
    • bi-infinite alphabets (like integers)
  • New words:
    • Generalized Thue-Morse words to words.[TAB]
    • [needs fixing] Add Random Word (combine arguments m and alphabet)
    • fix random_element for Words
    • Random Testing (how do we do this?)
  • Geometrization:
    • WordMorphism, following the work of G. Rauzy, A. Siegel, P. Arnoux, ...

    • Word Paths, via words as paths in a lattice
  • Miscellaneous:
    • add notes about words library
    • trac #4954: Words_over_Alphabet should check the type of input alphabet (related to allowing CombinatorialClass as alphabets)

    • finish and post words_new_fct_sl.patch to trac #5037
    • discussions regarding the trac #5002
    • look through the algorithms for finite words, and identify the ones that need improvement (some are really slow, like is_subword_of)

    • WordMorphism, inherits from SageObject and it should be a more general Morphism class.

combinat/SageCombinatWorkshopOrsay/WordsSprint (last edited 2009-01-28 15:24:43 by VincentDelecroix)