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JavaCompilerCore/src/main/java/de/dhbwstuttgart/typeinference/unify/MartelliMontanariUnify.java
2025-07-12 13:14:55 +02:00

109 lines
3.6 KiB
Java

package de.dhbwstuttgart.typeinference.unify;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.Iterator;
import java.util.Optional;
import java.util.Set;
import java.util.stream.Collectors;
import de.dhbwstuttgart.typeinference.unify.interfaces.IUnify;
import de.dhbwstuttgart.typeinference.unify.model.PairOperator;
import de.dhbwstuttgart.typeinference.unify.model.PlaceholderType;
import de.dhbwstuttgart.typeinference.unify.model.TypeParams;
import de.dhbwstuttgart.typeinference.unify.model.Unifier;
import de.dhbwstuttgart.typeinference.unify.model.UnifyPair;
import de.dhbwstuttgart.typeinference.unify.model.UnifyType;
/**
* Implementation of the Martelli-Montanari unification algorithm.
* @author Florian Steurer
*/
public class MartelliMontanariUnify implements IUnify {
@Override
public Optional<Unifier> unify(Set<UnifyType> terms) {
// Sets with less than 2 terms are trivially unified
if(terms.size() < 2)
return Optional.of(Unifier.identity());
// For the the set of terms {t1,...,tn},
// build a list of equations {(t1 = t2), (t2 = t3), (t3 = t4), ....}
ArrayList<UnifyPair> termsList = new ArrayList<UnifyPair>();
Iterator<UnifyType> iter = terms.iterator();
UnifyType prev = iter.next();
while(iter.hasNext()) {
UnifyType next = iter.next();
termsList.add(new UnifyPair(prev, next, PairOperator.EQUALSDOT));
prev = next;
}
// Start with the identity unifier. Substitutions will be added later.
Unifier mgu = Unifier.identity();
// Apply rules while possible
int idx = 0;
while(idx < termsList.size()) {
UnifyPair pair = termsList.get(idx);
UnifyType rhsType = pair.getRhsType();
UnifyType lhsType = pair.getLhsType();
TypeParams rhsTypeParams = rhsType.getTypeParams();
TypeParams lhsTypeParams = lhsType.getTypeParams();
// REDUCE - Rule
if(!(rhsType instanceof PlaceholderType) && !(lhsType instanceof PlaceholderType)) {
Set<UnifyPair> result = new HashSet<>();
// f<...> = g<...> with f != g are not unifiable
if(!rhsType.getName().equals(lhsType.getName()))
return Optional.empty(); // conflict
// f<t1,...,tn> = f<s1,...,sm> are not unifiable
if(rhsTypeParams.size() != lhsTypeParams.size())
return Optional.empty(); // conflict
// f = g is not unifiable (cannot be f = f because erase rule would have been applied)
//if(rhsTypeParams.size() == 0)
//return Optional.empty();
// Unpack the arguments
for(int i = 0; i < rhsTypeParams.size(); i++)
result.add(new UnifyPair(rhsTypeParams.get(i), lhsTypeParams.get(i), PairOperator.EQUALSDOT));
termsList.remove(idx);
termsList.addAll(result);
continue;
}
// DELETE - Rule
if(pair.getRhsType().equals(pair.getLhsType())) {
termsList.remove(idx);
continue;
}
// SWAP - Rule
if(!(lhsType instanceof PlaceholderType) && (rhsType instanceof PlaceholderType)) {
termsList.remove(idx);
termsList.add(new UnifyPair(rhsType, lhsType, PairOperator.EQUALSDOT));
continue;
}
// OCCURS-CHECK
if(pair.getLhsType() instanceof PlaceholderType
&& pair.getRhsType().getTypeParams().occurs((PlaceholderType) pair.getLhsType()))
return Optional.empty();
// SUBST - Rule
if(lhsType instanceof PlaceholderType) {
mgu.add((PlaceholderType) lhsType, rhsType);
//PL 2018-04-01 nach checken, ob es richtig ist, dass keine Substitutionen uebergeben werden muessen.
termsList.replaceAll(mgu::apply);
idx = idx+1 == termsList.size() ? 0 : idx+1;
continue;
}
idx++;
}
return Optional.of(mgu);
}
}