Non symmetric mac donald polynomials are also implemented in
sage-combinat in a more general patch on multivariate polynomials.
This is done by Lascoux's formula using divided differences, but as I
am not a specialist I have not tested this part much.

You can see how the whole patch work on my website :

http://igm.univ-mlv.fr/~pons/en/research.php



2012/8/30 bump <b...@match.stanford.edu>:
> In addition to Macdonald polynomials there are the nonsymmetric Macdonald
> polynomials
> which for Type A are implemented in ns_macdonald.py by HHL
> (Haglund-Haiman-Loehr)
> combinatorial algorithm. But one wants nonsymmetric Macdonald polynomials
> for
> all Cartan types.
>
> It was discussed at Sage Days 40 how to compute these for other root
> systems.
> It should be possible soon to implement them by recursively
> applying Demazure-Lusztig operators to a weight. One needs extended affine
> Weyl group, the corresponding Hecke algebra, and then Demazure Lusztig
> operator.
> There are patches for the first two items in the queue. Of these the first
> extended_affine_weyl_groups_sd40.patch is working correctly. The Hecke
> algebra patch needs more work.
>
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