Jori Mäntysalo wrote:
> sage: def foo():
> .....:     from sage.combinat.posets.poset_examples import Posets
> .....:     from sage.misc.functional import log
> .....:     P = Posets.BooleanLattice(3); n = P.cardinality(); s =
> P._hasse_diagram.size()
> .....:     if 2*s > n*log(n, 2): print "True"
> .....:
> sage: foo()
> sage:
> 
> So, in this case the comparison is False. Now when I add exactly same
> function on end of lattices.py and compile I got
> 
> sage: sage.combinat.posets.lattices.foo()
> True
> sage:
> 
> What's wrong? Somehow comparison and logaritms don't mix (again).

Apparently log() behaves differently depending on whether it is called
with Sage Integers or Python ints.  (Not sure whether the other integer
literal also matters here.)

(You should get the same in the Sage session when using 2r instead of 2,
or Integer(2) instead of 2 in the Python file.)


-leif

> 
>  * * *
> 
> Is there a function to get 2-based logarithm of integer in Sage? In
> Python 3.3 there is, but we use Python 2.x.
> 


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