/* Name: validate
	* Purpose: To find if the all of the transtions are valid.
	* Operation: This method it checks that each transition is based on the class States,
		Tape_Alphabet, and moves R or L.
	*/
void Transition_Function::validate(const Tape_Alphabet &tape_alphabet, States states, bool & valid){

		// Prevent two transitions from having the same source_state and Read_Character
	for (unsigned int i = 0; i < transitions.size(); i++){		
		for(unsigned int z = i + 1; z < transitions.size(); z++){			
			if(transitions[i].Source_State() == transitions[z].Source_State()
			&& transitions[i].Read_Character() == transitions[z].Read_Character()){
				valid = false;
				cout << "Error: Two transitions have the same source state '" << transitions[i].Source_State() << "' and read character '" << transitions[i].Read_Character() << "'.\n";
			}			
		}		
	}

		// Validate the the tape alphabet elements.
	for (unsigned int i = 0; i < transitions.size(); i++){

			// The read character is not contained within the tape alphabet.
		if (!tape_alphabet.is_element(transitions[i].Read_Character())){			
			cout << "Error: Transition read character '" << transitions[i].Read_Character() << "' is not in tape alphabet.\n";
			valid = false;
		}

			// The write character is not contained within the tape alphabet.
		if (!tape_alphabet.is_element(transitions[i].Write_Character())){
			cout << "Error: Transition write character '" << transitions[i].Write_Character() << "' is not in tape alphabet.\n";
			valid = false;
		}
	}

		// Validate that all of the states are in the list of states.
	for (unsigned int i = 0; i < transitions.size(); i++){

			// The source state is not in the list of states.
		if (!states.is_element(transitions[i].Source_State())){
			cout << "Error: Transition source state '" << transitions[i].Source_State() << "' is not in states.\n";

			valid = false;
		}

			// The destination state is not in the list of states. 
		if (!states.is_element(transitions[i].Destination_State())){
			cout << "Error: Transition destination state '" << transitions[i].Destination_State() << "' is not in states.\n";

			valid = false;
		}
	}
	
}