Adding function handlers in cell array in MATLAB

Question

I have a bunch of anonymous functions stored in a cell array as follows:

F = {@(x) x + 1, @(x) x * x}

I want to create a new anonymous function to add them all up and average the result given an input x. F can have arbitrary number of function handles and is generated at run time. If F is known, then it is simply f = @(x) (F{1}(x) + F{2}(x)) / length(F). But I don't know how to append all elements of F onto this new anonymous function (presumably in a loop?) How would I do this?

Have a look at cellfun

Adriaan
– Adriaan

2015-11-26 16:54:52 +00:00
Commented Nov 26, 2015 at 16:54 — Adriaan
– Adriaan, Commented Nov 26, 2015 at 16:54

mikkola · Accepted Answer · 2015-11-26 16:56:50Z

3

Use cellfun to define a function that evaluates each function f in F using just one line. An anonymous function handle for arbitrary F and x is as follows:

F = {@(x) x + 1, @(x) x * x};
%// Build anonymous function that evaluates each function, sums, 
%// divides by length of F
new_F = @(x,F)sum(cellfun(@(f)f(x), F)) / length(F);

Then, to evaluate, simply call:

x = 2; %// data to apply fcns on
result = new_F(x, F)

answered Nov 26, 2015 at 16:56

mikkola

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1 Comment

f1yingbanana Over a year ago

Wow! Did not know this is valid syntax! The functional programming is strong with Matlab.

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