Scilab - define a function inside another one

Question

I want to define a function that takes an input n and gives back the function f defined by f(x) = x^n.

So I wrote the following piece of code on Scilab:

function [f]=monomial(n)
    function [z] = g(x)
        z = x^n
    endfunction
    f = g
endfunction

Unfortunately when I evaluate monomial(3)(2) I get 32. whereas it should be 8.

I hope someone could point out where I have gone wrong when writing this function.

Could somebody help me please?

---

I cleared all variables and reran the code and it told me that n is not defined within g, therefore is there a way to overcome this problem?

Answer 1

the more secure way to do this is by using deff :

function [f]=monomial(n)
    f = deff('z=g(x)','z=x^'+string(n));
endfunction

otherwise n could be polluted by current scope

--> monomial(2)(8)
 ans  =

   64.