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#### Generating Random Automatons

To generate a random deterministic finite automaton, the following command can be used:

```\$ ./test -o out_file -i random_seed [ -C VAL ] num_in_sig num_out_sig num_states
```

The command creates file out_file with a description of deterministic finite automaton produced using seed random_seed. The automaton has given numbers of input, output signals, and states. A random seed should always be specified; otherwise some standard fixed value will be used. The first output signal will have spur increment 1 and all others 0.

If the option -C VAL with non-zero VAL is specified, then the automaton will have its state graph connected. If VAL is a number greater than 0, then the automaton will have not more than that number of cycles in the graph, and the best cycle among them will be found. If the number is relatively small, then the automaton may not be generated at one push. When an attempt to generate the automaton fails, a warning message is printed, and the program makes another attempt. If the number is relatively big, then an attempt to generate the automaton may take a long time, so the impression can be that the program has hung.

In QSMM version 1.16, there are supported VAL=‘c’ and VAL=‘cs’. Value ‘c’ makes the program to provide state connectivity of the state graph and to find the best cycle in the graph using an algorithm analogous to Viterbi one. Value ‘cs’ makes the program to provide the state connectivity, simplify the state graph, as it performed when VAL is a number greater than 0, and find the best cycle in the graph using an algorithm analogous to Viterbi one.

To comment lines before the first empty line in out_file the value of random seed is written. If the option -C VAL with non-zero VAL is specified, then to comment lines will also be written information on the best cycle in the state graph:

• – the length of the best cycle (a cycle, continuous repeating of which will give the maximum amount of spur to the system);
• – the increment in spur the system will receive when the cycle is repeated;
• – average spur increment per that cycle step;
• – the list of cycle steps; the description of each cycle step contains step index stp, automaton state index stt, input signal inp received when the automaton was in that state, output signal out emitted, and spur increment spr that corresponds to the output signal.

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