Hello.
I'd like to have some simple piecewise defined function like:
f = Piecewise([[[0,1],1]])
and the composite it with some other function like
h = x - 1
I've tried somethine like this:
f1 = lambda x:1
f2 = lambda x:x+2
f = piecewise([[[0,1],f1]])
f(f2)
and it fails with:
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "/Users/houp/.sage/sage_notebook/worksheets/admin/1/code/5.py",
line 7, in <module>
f(f2)
File "/Applications/sage/local/lib/python2.5/site-packages/sympy/
plotting/", line 1, in <module>
File "/Applications/sage/local/lib/python2.5/site-packages/sage/
functions/piecewise.py", line 584, in __call__
raise ValueError,"Value not defined outside of domain."
ValueError: Value not defined outside of domain.
The problem is that when sage tries to composite those functions it
does not change the domain of f. On one hand it would be usefull to
have it calculate f2([0,1]) and use it as new domain, on the other
hand if f2 would be more complex it could be hard to calculate the
image f2([0,1]). But anyway I'm wondering if it's possible to make any
use of piecewise functions compositing?
Best regards,
Witold Bołt.
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