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Edit detail for #360 integral yields strange error message revision 3 of 3

1 2 3
Editor: test1
Time: 2015/02/12 16:29:01 GMT+0
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added:

From test1 Thu Feb 12 16:29:01 +0000 2015
From: test1
Date: Thu, 12 Feb 2015 16:29:01 +0000
Subject: 
Message-ID: <20150212162901+0000@axiom-wiki.newsynthesis.org>

Status: open => closed 


Submitted by : (unknown) at: 2007-11-17T22:32:58-08:00 (17 years ago)
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Fixed: now we get normal message about hitting unimplemented part of Trager algorithm.

It seems that all current CAS have a problem with this integral:

fricas
integrate(1/(-3+v^3)*v/(-4+v^3)^(1/2),v)
>> Error detected within library code: Not integrable (provided residues have no relations)

However, at least the error message could be better...

It seems that the problem is in alglist$PFO, or perhaps in FractionalIdeal. In alglist, the numerator of an ideal is computed, but in the case above, we are dealing with a double fraction, and the result of numer is not a polynomial. On the other hand, it seems that such double fractions are expected. Unfortunately, I have no idea of the mathematics involved.

Using Windows version 0.1.4:
   >> Error detected within library code:
   (1 . failed) cannot be coerced to mode (SparseUnivariatePolynomial (Expression (Integer)))

Status: open => closed