how to create a cell array with functions from a matrix consisting symbolic expression

I have a matrix A

clear all
clc
syms x y
A= [x x^2+y^2;x-y 2+y];

and I want to get a cell array like B; how do i get.. B needs to be a cell array with all elements having both x and y in their function handle regardless of the fact that wheather it is afunction of one variable only.

B = {@(x,y)x,@(x,y)x.^2+y.^2;@(x,y)x-y,@(x,y)x.^2-y.^2}

Thanks for your time and kind help

Answer 1

[Steven Lord]

Use arrayfun to call matlabFunction on each element of your symbolic array. In order for all the functions to have the same signature (the same input arguments) we need to precompute the list of variables used in expressions in A. The symvar function does that.

syms x y
A= [x x^2+y^2;x-y 2+y];
variablesInA = symvar(A)

variablesInA = 

c = arrayfun(@(z) matlabFunction(z, 'Vars', variablesInA), A, 'UniformOutput', false)

c = 2×2 cell array
    {  @(x,y)x}    {@(x,y)x.^2+y.^2}
    {@(x,y)x-y}    {    @(x,y)y+2.0}

To check, let's call some of the functions.

c{1, 2}(3, 4) % 3.^2+4.^2 is 25

ans = 25

c{2, 2}(Inf, 5) % 5 + 2 is 7, x is not used

ans = 7

[Aninda pal]

Thanks a lot sir... This clarifies all the confusions i had..