Best way to count all elements in a cell array?

Question

I want to count all elements in a cell array, including those in "nested" cells.

For a cell array

>> C = {{{1,2},{3,4,5}},{{{6},{7},{8}},{9}},10}

C = {1x2 cell}    {1x2 cell}    [10]

The answer should be 10.

One way is to use [C{:}] repeatedly until there are no cells left and then use numel but there must be a better way?

Answer 1

Since you are only interested in the number of elements, here is a simplified version of flatten.m that @Ansari linked to:

function n = my_numel(A)
    n = 0;
    for i=1:numel(A)
        if iscell(A{i})
            n = n + my_numel(A{i});
        else
            n = n + numel(A{i});
        end
    end
end

The result:

>> C = {{{1,2},{3,4,5}},{{{6},{7},{8}},{9}},10};
>> my_numel(C)
ans =
    10

---

EDIT:

If you are feeling lazy, we can let CELLPLOT do the counting:

hFig = figure('Visible','off');
num = numel( findobj(cellplot(C),'type','text') );
close(hFig)

Basically we create an invisible figure, plot the cell array, count how many "text" objects were created, then delete the invisible figure.

This is how the plot looks like underneath: