Comment #20 on issue 3560 by waks...@gwax.com: solve() is a giant mess
http://code.google.com/p/sympy/issues/detail?id=3560
Between this and issue 1234 I think that we might want both a Solution
object and a SolutionSet object (or some sort of unified object that
handles both cases).
I would expect a Solution to be a dict-like object.
I would expect a SolutionSet to have iterable and/or list-like behavior
over Solution objects. This is necessary to handle infinite solutions (e.g
solve(sin(x), x) ) and could work just as well for simpler cases like
polynomials.
Expected behavior might be:
sols = solve(x**4-1,x)
sols
SolutionSet(Solution({x: 1}), Solution({x: -1}), Solution({x: I}),
Solution({x: -I}))
len(sols)
4
[s[x] for s in sols]
[1, -1, I, -I]
or:
sols = solve(sin(x),x)
sols
SolutionSet(Solution({x: 0}), ...)
len(sols)
oo
sols.next()
Solution({x: 0})
sols.next()
Solution({x: Pi})
sols.next()
Solution({x: -Pi})
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