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Write a function that computes the left side of the two equations. For code generation, your program must allocate all arrays when they are created, and must not change their sizes after creation.

function F = root2d(x)
F = zeros(2,1); % Allocate return array
F(1) = exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);
F(2) = x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5;
end

Write a function that sets up the problem and calls fsolve. The function must refer to root2d as a function handle, not as a name.

function [x,fval] = solveroot
options = optimoptions('fsolve','Algorithm','levenberg-marquardt','Display','off');
fun = @root2d;
rng default
x0 = rand(2,1);
[x,fval] = fsolve(fun,x0,options);
end

Create a configuration for code generation. In this case, use 'mex'.

cfg = coder.config('mex');

Generate code for the solveroot function.

codegen -config cfg solveroot

Test the generated code by running the generated file, which is named solveroot_mex.mexw64 or similar.

[x,fval] = solveroot_mex

x =

    0.3532
    0.6061


fval =

   1.0e-14 *

   -0.1998
   -0.1887