#7742: add a compose function to sage
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Reporter: was | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.1
Component: basic arithmetic | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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Comment(by ncohen):
I completely agree ! That's what we are doing in graph theory : first
implement, then try to think about how to optimize it :-)
I this case it should not be too different from these few lines ( if I
make none of my usual mistakes )
{{{
if n==0:
return "identity function"( no idea how it is called in Sage )
if n%2 == 1:
ff = compose(f, (n-1)/2, a)
return f(ff(ff(a)))
else:
ff = compose(f, n/2, a)
return ff(ff(a))
}}}
But perhaps the function "compose" should be a method of these symbolic
callable expressions you mentionned, which would be called by this
"compose" function : it may be interesting to compute symbolically the
n^th composed of a function without evaluating it :-)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7742#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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