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beta-adic #16723

Open c165f187-4f33-4a54-8b5c-49666d3fe91f opened 10 years ago

c165f187-4f33-4a54-8b5c-49666d3fe91f commented 10 years ago

This ticket gives a implementation of beta-adic monoids, as described in the article http://www.latp.univ-mrs.fr/~paul.mercat/Publis/Semi-groupes%20fortement%20automatiques.pdf It permit to compute the beta-adic monoid corresponding to a WordMorphism, to draw limit sets of beta-adic monoid, to compute relations automaton and reduced words automaton (defined in the article). For that I re-implemented the Automata.

This ticket is too big to be included directly into sage : I forsee to cut it in small parts that I will try to include in sage when it will be completly implemented, documented and well tested.

CC: @sagetrac-tjolivet

Component: PLEASE CHANGE

Branch/Commit: u/mercatp/beta-adic @ 7ae36cb

Issue created by migration from https://trac.sagemath.org/ticket/16723

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from 968d02a to 65ba2ce

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

65ba2ceAdd a structure NAutomaton that permits to represent non-deterministic automata, and add a transposition of deterministic automaton (that gives a non-deterministic one) and a function determinise to get back a deterministic automaton.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

b590f0eCorrect the computing of the extended relation automaton of a beta-adic monoid.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from 65ba2ce to b590f0e

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from b590f0e to ba30283

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

ba30283Improve function is_final() and convert function get_la() to use FastAutomaton and not Automaton. Load class FastAutomaton at start.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

8efcdeaMerge branch 'master' into t/16723/beta-adic
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from ba30283 to 8efcdea

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from 8efcdea to fda86b7

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

fda86b7Add a function piece to FastAutomaton, add intersection2 and intersect to BetaAdicMonoid
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from fda86b7 to 3af2ddf

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

3af2ddfAdd a function is_all_connected() to BetaAdicMonoid that decides if all the tiles of the self-similar tiling are connected.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from 3af2ddf to b5a7107

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

b5a7107Add `__hash__` and `__cmp__` functions to FastAutomaton, correct the test of equality, improve is_all_connected of BetaAdicMonoid, replace spaces by tabs for indentation and correct some bugs.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

e4c6241Forget to add file src/sage/combinat/words/automataC.c
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 9 years ago

Changed commit from b5a7107 to e4c6241

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from e4c6241 to ae245aa

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

ae245aaAdd a tool to compute relations automata with translation and change a lot of little things.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from ae245aa to 8c1bf8a

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

8c1bf8aAdd a function move2() that compute the translate ( replace move() ), and correct some problems.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

a45bb65Add a function zero_complete() for FastAutomaton, a function shift for BetaAdicMonoid (not well tested) and correct some little things.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from 8c1bf8a to a45bb65

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

effde91Add a function add_edge() to FastAutomaton and correct some bugs.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from a45bb65 to effde91

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

2a2c283Add functions shiftOP and unshift, and suppress shift.
ce64048Correct unshift.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from effde91 to ce64048

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

42b95c5Add functions rec_word() and find_word() to FastAutomaton, and modify function is_empty().
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from ce64048 to 42b95c5

7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Branch pushed to git repo; I updated commit sha1. New commits:

7ae36cbCorrect some memory bugs.
7ed8c4ca-6d56-4ae9-953a-41e42b4ed313 commented 8 years ago

Changed commit from 42b95c5 to 7ae36cb