On Thu, Jul 10, 2014 at 09:25:05AM -0700, Travis Scrimshaw wrote:
> On Thursday, July 10, 2014 7:11:52 AM UTC-7, Andrew wrote:
>
> I have this vague memory that some one was thinking of
> extending/rationalising/reorganising the tableaux code so that it
> fitted together better (whatever this might mean:). Does this ring any
> bells with anyone?
> I ask because I think that I need to implement row standard tableaux
> (possibly of composition shape).
Attached are some notes we had taken together when we discussed last
year in Tour.
Cheers,
Nicolas
--
Nicolas M. Thiéry "Isil" <nthi...@users.sf.net>
http://Nicolas.Thiery.name/
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# Abstract classes
class WordLikeObject:
@abstract_method
def evaluation(self):
pass
class AbstractSkewTableau(WordLikeObject):
@abstract_method
def skew_shape(self):
pass
@abstract_method
def rows(self):
pass
@abstract_method
def columns(self):
pass
# access to cells by coordinates
# ...
# Generic methods based on the above accessors
class SemiStandardAbstractSkewTableau(AbstractSkewTableau):
# Crystal operators, ...
class StandardAbstractSkewTableau(SemiStandardAbstractSkewTableau):
# ...
# Concrete classes
class SkewTableau(AbstractSkewTableau):
"""
Defines the data structure for skew tableaux, and low-level
methods on this data structure
"""
def shape():
# ...
skew_shape = shape
def rows():
# ...
class SemiStandardSkewTableau(SkewTableau, SemiStandardAbstractSkewTableau):
# Probably unneeded
class StandardSkewTableau(SemiStandardSkewTableau, StandardAbstractSkewTableau):
pass
class Tableau(ClonableArray?, AbstractSkewTableau):
"""
Defines the data structure for tableaux, and low-level methods on
this data structure
"""
def shape(self):
pass
def skew_shape(self):
return [[], self.shape()]
class SemiStandardTableau(Tableau, SemiStandardAbstractSkewTableau):
"""
Might want to use a different data structure, based on ClonableIntArray
In this case might not want to inherit from Tableau, or introduce
an AbstractTableau class.
"""
class StandardTableau(SemiStandardTableau, StandardAbstractSkewTableau):
pass
