Need help optimizing a compiled function.

Questions
,
1

Currently, I have the following structure:

Function1 = Interpolation[Flatten[MATRIX, 1]];

I then call the function at some point as

Function1[x,y]

This all works well.

Later on, I do:

Function2 = Compile[
STUFF

Table = Table[Function1[Table, x2], {k, 1, Length[Table]}];
STUFF

RuntimeAttributes -> {Listable}, Parallelization -> True, CompilationTarget :> "C"];

Again, this works. However, I’ve narrowed down the time consuming step of my code to be here.
When I use:

On[Compile::noinfo];

I get:

Compile::noinfo: No information is available for compilation of Function1[Table,x2]. The compiler will use an external evaluation and make assumptions about the return type. >>

So, I guess the question, is there a way for me to incorporate the original function within the Compile I do for function2?

Thanks so much.

2

The problem is the Compile does not support Interpolation, so it will call the main evaluator. One way around that is to implement your own interpolator, but that requires a bit more code.