Dear all,
>
> it seems that there is no routine to interpolate points 
> \in\mathbb{C}\times\mathbb{C} by functions f\colon\mathbb{ C}ยท\to\mathbb{C} 
> other than cubic splines until now, but I assume that it is not too 
> difficult to extend the existing routines. Thus  I wonder whether it is 
> possible to have a look on the source code of the routines find_fit and 
> complex_cubic_spline.
>

Have you tried 

find_fit??

and 

complex_cubic_spline??

The double question mark should give the source.  Of course, at least 
find_fit uses another library to do its thing.

Also, the source is readable 
at http://hg.sagemath.org/sage-main/file/9ab4ab6e12d0/sage/ (until the next 
release, anyway)
 

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