#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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{{{
def compose(f, n, a):
"""
Return f(f(...f(a)...)), where the composition occurs n times.
INPUT:
- `f` -- anything that is callable
- `n` -- a nonnegative integer
- `a` -- any input for `f`
OUTPUT:
result of composing `f` with itself `n` times and applying to `a`.
EXAMPLES::
sage: def f(x): return x^2 + 1
sage: x = var('x')
sage: compose(f, 3, x)
((x^2 + 1)^2 + 1)^2 + 1
"""
n = Integer(n)
if n <= 0: return a
a = f(a)
for i in range(n-1): a = f(a)
return a
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7742>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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