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* bi-infinite words, bi-infinite alphabets, words indexed by other objects besides integers * look through the algorithms for finite words, and identify the ones that need improvement (some are really slow, like is_subword_of) * words over the an alphabet of elements of a group |
* discussion about the content-datastructure-as-subobject (anti?)design pattern * allow for words over arbitrary alphabets? (example, the alphabet of the elements of a group) |
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| * FixedPointOfMorphism | * FixedPointOfMorphism (things like the language, complexity, ..., can be computed). * Lyndon word class * Dyck Word, discussions about getting DyckWord to inherit from WordPaths, 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] * Add Random Word and Random Testing |
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| * Dyck Word, discussions about getting Dyck Words inherits from Word Paths. Comparisons of efficiency. | |
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--- Un-organized ideas: * ideas for improving to the code (Stream for infinite words?) (Vincent Delecroix) * discussions regarding the trac #5002 * finish and post words_new_fct_sl.patch to trac #5037 * create a Lyndon word class * trac #4954: Words_over_Alphabet should check the type of input alphabet * Add Generalized Thue-Morse words to words.[TAB] * Add Random Word and Random Testing * Add Notes about words library * '''Word Morphism''' -- Word Morphism actually herits from SageObject and it should be a more general Morphism class. (Sébastien Labbé). * Discussion about the content-datastructure-as-subobject (anti?)design pattern * '''Fixed points of word morphisms''' -- Create of a new class derived from InfinteWord for fixed point of a WordMorphism. It's necessary to consider those words as very special infinite words because most of the 'infinite objects' associated (language, complexity, ...) can be computed. (Vincent Delecroix). * Class for biinfinite words, and words indexed by anything (Z^2^, Z^n^, graphs, ...). (Vincent Delecroix) |
* Miscellaneous: * add notes about words library * trac #4954: Words_over_Alphabet should check the type of input alphabet * 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. |
Words Sprint (FrancoSaliola, Sébastien Labbé, Vincent Delecroix)
- New implementation for words:
- faster
- space efficient
- special class for words over an alphabet of at most two letters (each letter takes one bit)
- consider using Streams and (Lazy)Familys here.
- discussion about the content-datastructure-as-subobject (anti?)design pattern
- allow for words over arbitrary alphabets? (example, the alphabet of the elements of a group)
- New classes:
- Language
FixedPointOfMorphism (things like the language, complexity, ..., can be computed).
- Lyndon word class
Dyck Word, discussions about getting DyckWord to inherit from WordPaths, 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]
- Add Random Word and Random Testing
- 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
- 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.