implement a turing machine as a class in matlab

Here's an implementation of a Turing machine in MATLAB as a class:

main.m
classdef turingMachine
    properties
        tape % tape of the turing machine
        tapeIndex % current index of the tape
        state % current state of the turing machine
        transitionFunction % transition function of the turing machine
        acceptStates % set of accept states for the turing machine
        rejectStates % set of reject states for the turing machine
    end
    
    methods
        function obj = turingMachine(tape, initialState, transitionFunction, acceptStates, rejectStates)
            % constructor
            obj.tape = tape;
            obj.tapeIndex = 1;
            obj.state = initialState;
            obj.transitionFunction = transitionFunction;
            obj.acceptStates = acceptStates;
            obj.rejectStates = rejectStates;
        end
        
        function run(obj)
            % runs the turing machine
            while true
                % check if current state is an accept or reject state
                if any(ismember(obj.state, obj.acceptStates))
                    fprintf('Turing machine accepted the input.\n');
                    break
                elseif any(ismember(obj.state, obj.rejectStates))
                    fprintf('Turing machine rejected the input.\n');
                    break
                end
                
                % get current symbol and transition rules
                currentSymbol = obj.tape(obj.tapeIndex);
                transitionRule = obj.transitionFunction(obj.state, currentSymbol);
                newSymbol = transitionRule(1);
                direction = transitionRule(2);
                newState = transitionRule(3);
                
                % update tape
                obj.tape(obj.tapeIndex) = newSymbol;
                
                % move tape head
                if direction == 'R'
                    obj.tapeIndex = obj.tapeIndex + 1;
                elseif direction == 'L'
                    obj.tapeIndex = obj.tapeIndex - 1;
                end
                
                % update current state
                obj.state = newState;
            end
        end
    end
end
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This implementation includes a constructor to set the initial tape, state, transition function, accept states, and reject states of the Turing machine. The run method runs the Turing machine until it reaches either an accept or reject state.

Note: This implementation assumes that the input tape is a MATLAB array, with the tape head initially at the first element of the array. The transition function is expected to be a MATLAB containers.Map object with keys of the form "currentState,currentSymbol". The values of the containers.Map object should be of the form [newSymbol,direction,newState], where newSymbol is the symbol to write to the tape, direction is either 'L' (move tape head to the left) or 'R' (move tape head to the right), and newState is the new state of the Turing machine.

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