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partial fraction decomposition function for multivariate rational expressions

asked 2011-11-02 19:11:23 +0200

araichev gravatar image

Hi all:

I'd like to extend Sage's partial fraction decomposition function in the QuotientField class to a function that works on quotients of multivariate polynomials. To this end, i've found it convenient to store a rational expression $F = P/(Q_1^{e_1} \cdots Q_m^{e_m})$ as a Python list of the form [P,[Q_1,e_1],...,[Q_m,e_m]], where $Q_1,\ldots,Q_m$ are the irreducible factors of $F$'s denominator. Let's call these special kinds of lists 'widgets'. I have several auxiliary functions that manipulate widgets.

Code design questions for you. Should i make a new class for widgets, and if so, where in the Sage tree of modules should i put this class? If not, where do i put the auxiliary functions that manipulate widgets?

Thanks for your attention.


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answered 2011-11-14 21:50:54 +0200

niles gravatar image


My two cents: Yes, you should create a new class; and I would put it somewhere with the other multivariate polynomial modules. Once you have a reviewer for the ticket, they can tell you whether there's a good reason to put it somewhere else.

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Asked: 2011-11-02 19:11:23 +0200

Seen: 2,012 times

Last updated: Nov 14 '11