**Next message:**root: "Re: [Axiom-developer] FeynCalc -> MAXIMA"**Previous message:**C Y: "Re: [Axiom-developer] FeynCalc -> MAXIMA"**In reply to:**Bob McElrath: "Re: [Maxima] Re: [Axiom-developer] Re: FeynCalc -> MAXIMA"**Next in thread:**Camm Maguire: "Re: [Maxima] Re: [Axiom-developer] Re: FeynCalc -> MAXIMA"**Reply:**Camm Maguire: "Re: [Maxima] Re: [Axiom-developer] Re: FeynCalc -> MAXIMA"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Mail actions:**[ respond to this message ] [ mail a new topic ]

Bob,

*> Test cases.
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*>
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*> While this does not *prove* the correctness of the code in a
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*> mathematical sense, it does in a monte-carlo sense. I note that both
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*> maxima and axiom have test suites.
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*>
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*> I do not think new mathematical code or subsystems should be accepted
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*> unless they are accompanied by a thorough test suite.
*

I've been collecting test cases from different computer algebra systems.

The effort is called CATS (Computer Algebra Test Suite).

One of the problems with current systems, like Axiom, is that people

write some algebra then write some test cases. The test cases are not

comprehensive, don't test corner cases, and don't test failure modes.

And, most egregious is, they are not documented. The tests given

an answer but is it the right answer? So current test cases are only

really useful as regression tests looking for what's broken.

So the idea is to collect the various test suites, document the

underlying math and set up pamphlet files which contain code for

each of the various systems. You can get the Axiom code pile with

the CATS work using the tla from Gnu-arch.

The idea is to develop a test suite that would be similar to the

NIST (National Institute of Standards and Technology) classification

scheme for numerical software but this time for symbolic software.

Currently there is no classification scheme and no agreed-upon

test suite.

There are few enough computational mathematicians. We shouldn't waste

their time duplicating tests in areas that others have already done.

Besides, tests are best when written by others :-)

Thus, CATS.

Tim

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