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# -*- test-case-name: automat._test.test_core -*- """ A core state-machine abstraction. Perhaps something that could be replaced with or integrated into machinist. """ from itertools import chain _NO_STATE = "<no state>" class NoTransition(Exception): """ A finite state machine in C{state} has no transition for C{symbol}. @param state: the finite state machine's state at the time of the illegal transition. @param symbol: the input symbol for which no transition exists. """ def __init__(self, state, symbol): self.state = state self.symbol = symbol super(Exception, self).__init__( "no transition for {} in {}".format(symbol, state) ) class Automaton(object): """ A declaration of a finite state machine. Note that this is not the machine itself; it is immutable. """ def __init__(self): """ Initialize the set of transitions and the initial state. """ self._initialState = _NO_STATE self._transitions = set() @property def initialState(self): """ Return this automaton's initial state. """ return self._initialState @initialState.setter def initialState(self, state): """ Set this automaton's initial state. Raises a ValueError if this automaton already has an initial state. """ if self._initialState is not _NO_STATE: raise ValueError( "initial state already set to {}".format(self._initialState)) self._initialState = state def addTransition(self, inState, inputSymbol, outState, outputSymbols): """ Add the given transition to the outputSymbol. Raise ValueError if there is already a transition with the same inState and inputSymbol. """ # keeping self._transitions in a flat list makes addTransition # O(n^2), but state machines don't tend to have hundreds of # transitions. for (anInState, anInputSymbol, anOutState, _) in self._transitions: if (anInState == inState and anInputSymbol == inputSymbol): raise ValueError( "already have transition from {} via {}".format(inState, inputSymbol)) self._transitions.add( (inState, inputSymbol, outState, tuple(outputSymbols)) ) def allTransitions(self): """ All transitions. """ return frozenset(self._transitions) def inputAlphabet(self): """ The full set of symbols acceptable to this automaton. """ return {inputSymbol for (inState, inputSymbol, outState, outputSymbol) in self._transitions} def outputAlphabet(self): """ The full set of symbols which can be produced by this automaton. """ return set( chain.from_iterable( outputSymbols for (inState, inputSymbol, outState, outputSymbols) in self._transitions ) ) def states(self): """ All valid states; "Q" in the mathematical description of a state machine. """ return frozenset( chain.from_iterable( (inState, outState) for (inState, inputSymbol, outState, outputSymbol) in self._transitions ) ) def outputForInput(self, inState, inputSymbol): """ A 2-tuple of (outState, outputSymbols) for inputSymbol. """ for (anInState, anInputSymbol, outState, outputSymbols) in self._transitions: if (inState, inputSymbol) == (anInState, anInputSymbol): return (outState, list(outputSymbols)) raise NoTransition(state=inState, symbol=inputSymbol) class Transitioner(object): """ The combination of a current state and an L{Automaton}. """ def __init__(self, automaton, initialState): self._automaton = automaton self._state = initialState self._tracer = None def setTrace(self, tracer): self._tracer = tracer def transition(self, inputSymbol): """ Transition between states, returning any outputs. """ outState, outputSymbols = self._automaton.outputForInput(self._state, inputSymbol) outTracer = None if self._tracer: outTracer = self._tracer(self._state._name(), inputSymbol._name(), outState._name()) self._state = outState return (outputSymbols, outTracer)