#18194: Speedup of calculation of Macdonald H and Ht bases
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Reporter: zabrocki | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: sf, days67, sage- | Merged in:
combinat | Reviewers: Travis Scrimshaw
Authors: Mike Zabrocki | Work issues:
Report Upstream: N/A | Commit:
Branch: | 5e4ad59ff71c603797f7fd58d36a714a66ee6cff
public/combinat/mac_speedup-18194 | Stopgaps:
Dependencies: |
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Comment (by zabrocki):
The fact that there is a change in the coercion path from `J` to `H` is to
be expected because the new implementation takes `H` and `Ht` to and from
the monomial basis while `J`, `P` and `Q` must pass through the Schur
basis. However, I do not know why the path it finds from Schur to
monomial passes through homogeneous and the power basis.
{{{
sage: copy(H._internal_coerce_map_from(J))
Composite map:
From: Symmetric Functions over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field in the Macdonald J basis
To: Symmetric Functions over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field in the Macdonald H basis
Defn: Generic morphism:
From: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the Macdonald J basis
To: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the Schur basis
then
Generic morphism:
From: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the Schur basis
To: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the homogeneous basis
then
Generic morphism:
From: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the homogeneous basis
To: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the powersum basis
then
Generic morphism:
From: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the powersum basis
To: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the monomial basis
then
Generic morphism:
From: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the monomial basis
To: Symmetric Functions over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field in the Macdonald H basis
}}}
What is the technique for ensuring that Sage finds the shortest coercion
path?
--
Ticket URL: <http://trac.sagemath.org/ticket/18194#comment:15>
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