Am 25.08.2012 06:56, schrieb Aaron Meurer:
I think this is doable. We just need to extend the algorithm to
handle inverses of multi-argument functions.
By the way, we also should think of an API to let functions define
their own inverses which would be recognized by solve(). That would
be better than the dict that lives in solvers.py, line 2123.
Sounds like the approach to go.
The inversion API looks nontrivial to me:
1) I don't know how solve() deals with ambiguous inverses like sqrt(x)
or complex logarithm. However, if we provide an inversion API, it should
include information about the kind of ambiguity involved.
2) For multi-argument functions, there are multiple kinds of inverses.
z = atan2 (x, y) could be inverted for x, y, or (x,y).
I'm not sure how this should be dealt with, mostly because I know far
too little about solve(). I guess it depends on what kinds of inverses
solve() ever needs, and whether it can deal with equation systems or
just single equations, and what kinds of tasks the algorithms inside
solve() are suited for.
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