find the fixed point of g(x) = 1 + sin(x) within the error tolerance tol from the initial guess of x1. in matlab

main.m
function fixed_point = find_fixed_point(g, x1, tol)
    % Initialize variables
    x0 = x1; % initial guess
    x(i) = x0; % store initial guess in x array
    i = 1; % iteration counter

    % Perform fixed point iteration until the error is within the tolerance
    while true
        x(i+1) = g(x(i)); % apply fixed point iteration formula
        if abs(x(i+1) - x(i)) < tol % check if error is within tolerance
            break;
        end
        i = i + 1; % increment iteration counter
    end

    fixed_point = x(i+1); % store the final approximation of the fixed point
end
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main.m
g = @(x) 1 + sin(x); % define the function g(x)
x1 = 0; % initial guess
tol = 1e-6; % error tolerance

fixed_point = find_fixed_point(g, x1, tol); % call the function

disp(fixed_point); % display the approximation of the fixed point
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