How to convert a cell array containing various inline functions to a unique inline function?

Question

Dyecks da Rocha Fialho 2019-6-5

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https://ww2.mathworks.cn/matlabcentral/answers/465582-how-to-convert-a-cell-array-containing-various-inline-functions-to-a-unique-inline-function

编辑： TADA 2019-6-5

I need to use the fminimax function and the input has to be necessarily a single inline function. But I need several equations in this function. And I'm going to add them one by one through a for loop in a cell.

I need to convert this:

cell =
  1×3 cell array
    {@(x)(a(1,1)-x)^2}    {@(x)(a(2,2)-x)^2}    {@(x)(a(3,3)-x)^2}

For this:

func =
  function_handle with value:
    @(x)[(a(1,1)-x)^2;(a(2,2)-x)^2;(a(3,3)-x)^2]

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Answer 1

Stephen23 2019-6-5

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https://ww2.mathworks.cn/matlabcentral/answers/465582-how-to-convert-a-cell-array-containing-various-inline-functions-to-a-unique-inline-function#answer_377932

编辑：Stephen23 2019-6-5

在 MATLAB Online 中打开

You could hide the loop inside cellfun:

>> a = rand(3,3);
>> C = {@(x)(a(1,1)-x)^2,@(x)(a(2,2)-x)^2,@(x)(a(3,3)-x)^2};
>> F = @(x)cellfun(@(f)f(x),C(:));
>> F(1.2)
ans =
   0.40767
   0.39542
   1.26850

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Answer 2

TADA 2019-6-5

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https://ww2.mathworks.cn/matlabcentral/answers/465582-how-to-convert-a-cell-array-containing-various-inline-functions-to-a-unique-inline-function#answer_377934

编辑：TADA 2019-6-5

在 MATLAB Online 中打开

You can generate a function handle which will execute all the handles in a cell array using closures:

a = magic(3);
myFunctions = [{@(x)(a(1,1)-x)^2}    {@(x)(a(2,2)-x)^2}    {@(x)(a(3,3)-x)^2}];
aggregatedFunctionHandle = genFunHandle(myFunctions);
disp(aggregatedFunctionHandle(10));
function foo = genFunHandle(handles)
    function y = func(x)
        y = cellfun(@(fh) fh(x), reshape(handles, numel(handles), 1));
    end
    foo = @func;
end

output:

        6724
        4900
        6084

but if your functions are always of that format: @(x)(a(i,i)-x)^2

do this instead:

f = @(x) (diag(a)-x).^2

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TADA 2019-6-5

在 MATLAB Online 中打开

also possible with an inline closure like that:

a = magic(3);
myFunctions = [{@(x)(a(1,1)-x)^2}    {@(x)(a(2,2)-x)^2}    {@(x)(a(3,3)-x)^2}];
aggregatedFunctionHandle =...
    @(x) cellfun(@(fh) fh(x), reshape(myFunctions, numel(myFunctions), 1));

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