Matlab - Check if function handle is a particular function or function type

Question

Question: In Matlab, how can I check if a function handle is a particular function or function type?

Example: Let f1 be a function handle. How do I check if f1 is the in-built Matlab function mean? How do I check if f1 is an anonymous function?

My Current Solution: My current solution to this problem involves a call to the functions function. functions accepts a function handle as input and returns a structure containing information about the input function handle, eg function type, path, function name etc. It works, but it is not an ideal solution because, to quote the official documentation:

"Caution MATLAB® provides the functions function for querying and debugging purposes only. Because its behavior may change in subsequent releases, you should not rely upon it for programming purposes."

Answer 1

How about using func2str?

If this is an inbuilt function, it should just return a string containing the function name; if it is an anonymous function it should return the anonymous function (including @).

h1 = @(x) x.^2;
h2 = @mean;
str1 = func2str(h1);  %str1 = "@(x) x.^2"
str2 = func2str(h2);  %str2 = "mean"

You can also use isequal to compare two function handles (ETA: this will not work to compare two anonymous functions unless one was created as a copy of the other):

isequal(h1,@mean);  % returns 0
isequal(h2,@mean);  % returns 1