Problem 47088. Function Call Counter

Steve Eddins

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This problem illustrates advanced use of nested functions and function handles.
Write a function that takes a function handle, F, as input and returns two output arguments, G and C. The first output argument, G, is a function handle that calls F. The second output argument, C, is another function handle that returns the number of times G has been called. Assume that F takes one input argument and returns one output argument.
Example
>> F = @sin;
>> [G,C] = function_call_counter(F);
>> C()
   ans = 0
   
>> G(pi/2)
   ans = 1
   
>> G(-pi/2)
   ans = -1
   
>> G(pi/6)
   ans = 0.5000
   
>> C()
   ans = 3