I don't think you need to make an explicit class here. You can build a
function from within another function, and return that:
sage: def f(n, z):
....: return z**n
....:
sage: def maker(tup):
....: def g(z):
....: return sum(abs(f(a_i,z))**2 for a_i in tup)
....: return g
....:
After which
sage: f(1, 3+2*I)
2*I + 3
sage: maker((1,5,3))
<function __main__.g>
sage: g = maker((1,5,3))
sage: g(5)
9781275
sage: abs(f(1,5))**2 + abs(f(5,5))**2 + abs(f(3,5))**2
9781275
I used Python functions here because that's what you started with. A
similar approach would have worked if you were making a Sage function
instead, namely write a function which accepts a tuple and returns a new
function.
Doug
On Wed, Jul 17, 2013 at 5:07 AM, Laurent Decreusefond <
laurent.decreusef...@gmail.com> wrote:
> Hi everyone,
>
> say I have a function of both an integer n and a complex z
>
> def f(n,z):
> return z**n
>
> For any tuple of integer (a_1,a_2, ..., a_k), (actually, k and a_i are
> random), I want to form the function
>
> z -> sum_{i=1}^k |f(a_i, z)|^2
>
> The result must still be a function. I guess it is something which can be
> done by redefining a new class but I'm a totally newbie at object
> programming.
> Can you help me ?
>
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