There are the Wester tests, which we ship and test (the ones we can do
at least)
http://hg.sagemath.org/sage-main/file/8c4f10086e20/sage/calculus/wester.py
I believe there is also some randomized testing that is done in the
category code that takes random elements and verifies they have the
correct properties (e.g. commutativity, associativity, etc.) that has
exposed some bugs. As I've mentioned before, internal consistency
checks can be better than comparing against commercial programs, so
that way anyone can run and verify them, and they often illustrate
interesting math (e.g. verification of deep, abstract theorems for
specific examples).
As the topic of GSoC projects has come up, note also
http://code.google.com/opensource/gsoc/2008/faqs.html#0.1_doc_proposals
which doesn't rule something like this out, but is worth noting.
- Robert
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