Added deserialization of FSMs

This commit is contained in:
Andrew Lalis 2021-05-06 12:49:23 +02:00
parent 6d0ef8c6d2
commit 0741d9d62d
5 changed files with 169 additions and 9 deletions

View File

@ -1,6 +1,7 @@
package nl.andrewlalis.grammar_tool; package nl.andrewlalis.grammar_tool;
import nl.andrewlalis.grammar_tool.grammar.ContextFreeGrammar; import nl.andrewlalis.grammar_tool.grammar.ContextFreeGrammar;
import nl.andrewlalis.grammar_tool.machine.FiniteStateMachine;
public class GrammarTool { public class GrammarTool {
public static void main(String[] args) { public static void main(String[] args) {
@ -14,7 +15,14 @@ public class GrammarTool {
"C -> c,C | ε" "C -> c,C | ε"
); );
System.out.println(g2); System.out.println(g2);
ContextFreeGrammar productive = g2.toProductiveForm();
System.out.println(productive); FiniteStateMachine f1 = FiniteStateMachine.fromString("""
-> q0 : "" -> q1, "b" -> q2
q1 : "c" -> q1, "a" -> q2,
q2 : "d" -> q2, "d" -> q3,
* q3 : "c" -> q1
""");
System.out.println(f1);
System.out.println("Deterministic? " + f1.isDeterministic());
} }
} }

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@ -37,6 +37,10 @@ public class Symbol implements Comparable<Symbol> {
return this.identifier.compareTo(o.identifier); return this.identifier.compareTo(o.identifier);
} }
public boolean isEmpty() {
return this.identifier.isEmpty();
}
public static Symbol of(String identifier) { public static Symbol of(String identifier) {
return new Symbol(identifier); return new Symbol(identifier);
} }

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@ -2,8 +2,13 @@ package nl.andrewlalis.grammar_tool.machine;
import nl.andrewlalis.grammar_tool.grammar.Symbol; import nl.andrewlalis.grammar_tool.grammar.Symbol;
import java.util.HashSet;
import java.util.List;
import java.util.Objects; import java.util.Objects;
import java.util.Set; import java.util.Set;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import java.util.stream.Collectors;
public class FiniteStateMachine { public class FiniteStateMachine {
private final Set<Symbol> alphabet; private final Set<Symbol> alphabet;
@ -13,11 +18,11 @@ public class FiniteStateMachine {
private final Set<Transition> transitions; private final Set<Transition> transitions;
public FiniteStateMachine(Set<Symbol> alphabet, Set<State> states, Set<State> finalStates, State startState, Set<Transition> transitions) { public FiniteStateMachine(Set<Symbol> alphabet, Set<State> states, Set<State> finalStates, State startState, Set<Transition> transitions) {
this.alphabet = alphabet; this.alphabet = Objects.requireNonNull(alphabet);
this.states = states; this.states = Objects.requireNonNull(states);
this.finalStates = finalStates; this.finalStates = Objects.requireNonNull(finalStates);
this.startState = startState; this.startState = Objects.requireNonNull(startState);
this.transitions = transitions; this.transitions = Objects.requireNonNull(transitions);
this.ensureValidElements(); this.ensureValidElements();
} }
@ -60,4 +65,129 @@ public class FiniteStateMachine {
public int hashCode() { public int hashCode() {
return Objects.hash(alphabet, states, finalStates, startState, transitions); return Objects.hash(alphabet, states, finalStates, startState, transitions);
} }
@Override
public String toString() {
StringBuilder sb = new StringBuilder();
List<State> sortedStates = this.states.stream().sorted().collect(Collectors.toList());
for (State state : sortedStates) {
if (this.startState.equals(state)) {
sb.append("-> ");
} else if (this.finalStates.contains(state)) {
sb.append(" * ");
} else {
sb.append(" ");
}
sb.append(state);
List<Transition> sortedTransitions = this.getTransitionsStartingAt(state).stream().sorted().collect(Collectors.toList());
if (!sortedTransitions.isEmpty()) {
sb.append(" : ");
for (int i = 0; i < sortedTransitions.size(); i++) {
Transition t = sortedTransitions.get(i);
sb.append('"').append(t.getAcceptingSymbol()).append('"').append(" -> ").append(t.getEndState());
if (i < sortedTransitions.size() - 1) sb.append(", ");
}
}
sb.append("\n");
}
return sb.toString();
}
public Set<Transition> getTransitionsStartingAt(State state) {
Set<Transition> stateTransitions = new HashSet<>();
for (Transition t : this.transitions) {
if (t.getStartState().equals(state)) {
stateTransitions.add(t);
}
}
return stateTransitions;
}
public Set<State> getNextStates(State currentState, Symbol acceptingSymbol) {
Set<State> nextStates = new HashSet<>();
for (Transition t : this.transitions) {
if (t.getStartState().equals(currentState) && t.getAcceptingSymbol().equals(acceptingSymbol)) {
nextStates.add(t.getEndState());
}
}
return nextStates;
}
public boolean isDeterministic() {
for (State state : this.states) {
for (Symbol symbol : this.alphabet) {
if (this.getNextStates(state, symbol).size() > 1) {
return false;
}
}
}
return true;
}
public static FiniteStateMachine fromTransitions(State startState, Set<Transition> transitions, Set<State> finalStates) {
Set<Symbol> alphabet = new HashSet<>();
Set<State> states = new HashSet<>();
for (Transition t : transitions) {
states.add(t.getStartState());
states.add(t.getEndState());
alphabet.add(t.getAcceptingSymbol());
}
return new FiniteStateMachine(alphabet, states,finalStates, startState, transitions);
}
/**
* Constructs an FSM from a series of strings depicting states and their
* possible transitions. The following format is used:
* <pre><code>
* -> q0 : "a" -> q1, "" -> q2
* q1 : "b" -> q2, "c" -> q3
* * q2 : "c" -> q3
* * q3
* </code></pre>
* @param fsmString The string containing the FSM specification.
* @return The finite state machine that was created.
*/
public static FiniteStateMachine fromString(String fsmString) {
String[] stateStrings = fsmString.split("\\n+");
State startState = null;
Set<State> finalStates = new HashSet<>();
Set<Transition> transitions = new HashSet<>();
for (String stateString : stateStrings) {
if (stateString.isBlank()) continue;
String[] parts = stateString.split("\\s*:\\s*");
String stateDefinition = parts[0].trim();
String[] definitionParts = stateDefinition.split("\\s+");
String modifier = null;
String stateName;
if (definitionParts.length > 1) {
modifier = definitionParts[0].trim();
stateName = definitionParts[1].trim();
} else {
stateName = definitionParts[0].trim();
}
State state = new State(stateName);
if (modifier != null) {
if (modifier.trim().equals("->")) {
startState = state;
} else if (modifier.trim().equals("*")) {
finalStates.add(state);
} else {
throw new IllegalArgumentException("Invalid state modifier: " + modifier);
}
}
if (parts.length == 1) continue;
String[] transitionDefinitions = parts[1].split("\\s*,\\s*");
for (String transitionDefinition : transitionDefinitions) {
String[] transitionParts = transitionDefinition.split("\\s*->\\s*");
if (transitionParts.length != 2) throw new IllegalArgumentException("Invalid transition format: " + transitionDefinition);
Pattern p = Pattern.compile("\"([^\"]*)\"");
Matcher m = p.matcher(transitionParts[0]);
if (!m.find()) throw new IllegalArgumentException("Invalid transition format: " + transitionDefinition);
Symbol acceptingSymbol = new Symbol(m.group(1));
State endState = new State(transitionParts[1].trim());
transitions.add(new Transition(state, acceptingSymbol, endState));
}
}
return fromTransitions(startState, transitions, finalStates);
}
} }

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@ -2,7 +2,7 @@ package nl.andrewlalis.grammar_tool.machine;
import java.util.Objects; import java.util.Objects;
public class State { public class State implements Comparable<State> {
private final String name; private final String name;
public State(String name) { public State(String name) {
@ -26,4 +26,9 @@ public class State {
public String toString() { public String toString() {
return this.name; return this.name;
} }
@Override
public int compareTo(State o) {
return this.name.compareTo(o.name);
}
} }

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@ -6,7 +6,7 @@ import nl.andrewlalis.grammar_tool.grammar.Symbol;
import java.util.Objects; import java.util.Objects;
@Getter @Getter
public class Transition { public class Transition implements Comparable<Transition> {
private final State startState; private final State startState;
private final Symbol acceptingSymbol; private final Symbol acceptingSymbol;
private final State endState; private final State endState;
@ -36,4 +36,17 @@ public class Transition {
public String toString() { public String toString() {
return String.format("%s (%s) -> %s", this.startState, this.acceptingSymbol, this.endState); return String.format("%s (%s) -> %s", this.startState, this.acceptingSymbol, this.endState);
} }
public boolean isEpsilon() {
return this.acceptingSymbol.isEmpty();
}
@Override
public int compareTo(Transition o) {
int result = this.startState.compareTo(o.getStartState());
if (result != 0) return result;
int symbolResult = this.acceptingSymbol.compareTo(o.getAcceptingSymbol());
if (symbolResult != 0) return symbolResult;
return this.endState.compareTo(o.getEndState());
}
} }