On 02/12/2012 01:33 AM, John H Palmieri wrote:
On Saturday, February 11, 2012 8:39:32 PM UTC-8, Michael Orlitzky wrote:
I've started this:
http://wiki.sagemath.org/PiecewiseSymbolicSEP
<http://wiki.sagemath.org/PiecewiseSymbolicSEP>
It's basically a brain dump at this point, but I can go back and clean
up specific ideas now with less overhead.
I've also added a link and a few paragraphs to the GSoC proposal.
Would it also be possible and worthwhile to implement periodic functions
at the same time? That is, you could define a function on some interval
[a,b] (or [a,b) or ...) and declare it to be periodic with period b-a,
for instance.
Assuming we get piecewise right, it *sounds* easy to do. I've added it
to the SEP as a feature that could be built on top of piecewise.
One goal would be to define the piecewise functions based on predicates,
so we could have e.g. a periodic(f, interval, period) constructor that
converts your interval/period to a predicate and returns the
corresponding piecewise function.
I can see it getting hairy if we try to generalize periodic functions,
too, but period/interval are easy enough to work with.
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