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/*
* SPDX-FileCopyrightText: 2023 The Refinery Authors <https://refinery.tools/>
*
* SPDX-License-Identifier: EPL-2.0
*/
package tools.refinery.store.reasoning.internal;
import tools.refinery.store.query.Constraint;
import tools.refinery.store.query.dnf.Dnf;
import tools.refinery.store.query.dnf.DnfBuilder;
import tools.refinery.store.query.dnf.DnfClause;
import tools.refinery.store.query.literal.AbstractCallLiteral;
import tools.refinery.store.query.literal.AbstractCountLiteral;
import tools.refinery.store.query.literal.CallPolarity;
import tools.refinery.store.query.literal.Literal;
import tools.refinery.store.query.term.Aggregator;
import tools.refinery.store.query.term.ConstantTerm;
import tools.refinery.store.query.term.Term;
import tools.refinery.store.query.term.Variable;
import tools.refinery.store.query.term.int_.IntTerms;
import tools.refinery.store.query.term.uppercardinality.UpperCardinalityTerms;
import tools.refinery.store.reasoning.ReasoningAdapter;
import tools.refinery.store.reasoning.literal.*;
import tools.refinery.store.reasoning.representation.PartialRelation;
import tools.refinery.store.reasoning.translator.multiobject.MultiObjectTranslator;
import tools.refinery.store.representation.cardinality.UpperCardinalities;
import java.util.*;
import java.util.function.BinaryOperator;
class PartialClauseRewriter {
private final PartialQueryRewriter rewriter;
private final List<Literal> completedLiterals = new ArrayList<>();
private final Deque<Literal> workList = new ArrayDeque<>();
private final Set<Variable> positiveVariables = new LinkedHashSet<>();
private final Set<Variable> unmodifiablePositiveVariables = Collections.unmodifiableSet(positiveVariables);
public PartialClauseRewriter(PartialQueryRewriter rewriter) {
this.rewriter = rewriter;
}
public List<Literal> rewriteClause(DnfClause clause) {
workList.addAll(clause.literals());
while (!workList.isEmpty()) {
var literal = workList.removeFirst();
rewrite(literal);
}
return completedLiterals;
}
private void rewrite(Literal literal) {
if (!(literal instanceof AbstractCallLiteral callLiteral)) {
markAsDone(literal);
return;
}
if (callLiteral instanceof CountLowerBoundLiteral countLowerBoundLiteral) {
rewriteCountLowerBound(countLowerBoundLiteral);
return;
}
if (callLiteral instanceof CountUpperBoundLiteral countUpperBoundLiteral) {
rewriteCountUpperBound(countUpperBoundLiteral);
return;
}
if (callLiteral instanceof CountCandidateLowerBoundLiteral countCandidateLowerBoundLiteral) {
rewriteCountCandidateLowerBound(countCandidateLowerBoundLiteral);
return;
}
if (callLiteral instanceof CountCandidateUpperBoundLiteral countCandidateUpperBoundLiteral) {
rewriteCountCandidateUpperBound(countCandidateUpperBoundLiteral);
return;
}
var target = callLiteral.getTarget();
if (target instanceof Dnf dnf) {
rewriteRecursively(callLiteral, dnf);
} else if (target instanceof ModalConstraint modalConstraint) {
var modality = modalConstraint.modality();
var concreteness = modalConstraint.concreteness();
var constraint = modalConstraint.constraint();
if (constraint instanceof Dnf dnf) {
rewriteRecursively(callLiteral, modality, concreteness, dnf);
} else if (constraint instanceof PartialRelation partialRelation) {
rewrite(callLiteral, modality, concreteness, partialRelation);
} else {
throw new IllegalArgumentException("Cannot interpret modal constraint: " + modalConstraint);
}
} else {
markAsDone(literal);
}
}
private void rewriteCountLowerBound(CountLowerBoundLiteral literal) {
rewritePartialCount(literal, "lower", Modality.MUST, MultiObjectTranslator.LOWER_CARDINALITY_VIEW, 1,
IntTerms::mul, IntTerms.INT_SUM);
}
private void rewriteCountUpperBound(CountUpperBoundLiteral literal) {
rewritePartialCount(literal, "upper", Modality.MAY, MultiObjectTranslator.UPPER_CARDINALITY_VIEW,
UpperCardinalities.ONE, UpperCardinalityTerms::mul, UpperCardinalityTerms.UPPER_CARDINALITY_SUM);
}
private <T> void rewritePartialCount(AbstractCountLiteral<T> literal, String name, Modality modality,
Constraint view, T one, BinaryOperator<Term<T>> mul, Aggregator<T, T> sum) {
var type = literal.getResultType();
var countResult = computeCountVariables(literal, Concreteness.PARTIAL, name);
var builder = countResult.builder();
var outputVariable = builder.parameter(type);
var variablesToCount = countResult.variablesToCount();
var literals = new ArrayList<Literal>();
literals.add(new ModalConstraint(modality, Concreteness.PARTIAL, literal.getTarget())
.call(CallPolarity.POSITIVE, countResult.rewrittenArguments()));
switch (variablesToCount.size()) {
case 0 -> literals.add(outputVariable.assign(new ConstantTerm<>(type, one)));
case 1 -> literals.add(view.call(variablesToCount.get(0),
outputVariable));
default -> {
var firstCount = Variable.of(type);
literals.add(view.call(variablesToCount.get(0), firstCount));
int length = variablesToCount.size();
Term<T> accumulator = firstCount;
for (int i = 1; i < length; i++) {
var countVariable = Variable.of(type);
literals.add(view.call(variablesToCount.get(i), countVariable));
accumulator = mul.apply(accumulator, countVariable);
}
literals.add(outputVariable.assign(accumulator));
}
}
builder.clause(literals);
var helperQuery = builder.build();
var aggregationVariable = Variable.of(type);
var helperArguments = countResult.helperArguments();
helperArguments.add(aggregationVariable);
workList.addFirst(literal.getResultVariable().assign(helperQuery.aggregateBy(aggregationVariable, sum,
helperArguments)));
}
private void rewriteCountCandidateLowerBound(CountCandidateLowerBoundLiteral literal) {
rewriteCandidateCount(literal, "lower", Modality.MAY);
}
private void rewriteCountCandidateUpperBound(CountCandidateUpperBoundLiteral literal) {
rewriteCandidateCount(literal, "upper", Modality.MUST);
}
private void rewriteCandidateCount(AbstractCountLiteral<Integer> literal, String name, Modality modality) {
var countResult = computeCountVariables(literal, Concreteness.CANDIDATE, name);
var builder = countResult.builder();
var literals = new ArrayList<Literal>();
literals.add(new ModalConstraint(modality, Concreteness.CANDIDATE, literal.getTarget())
.call(CallPolarity.POSITIVE, countResult.rewrittenArguments()));
for (var variable : countResult.variablesToCount()) {
literals.add(new ModalConstraint(modality, Concreteness.CANDIDATE, ReasoningAdapter.EXISTS_SYMBOL)
.call(variable));
}
builder.clause(literals);
var helperQuery = builder.build();
workList.addFirst(literal.getResultVariable().assign(helperQuery.count(countResult.helperArguments())));
}
private CountResult computeCountVariables(AbstractCountLiteral<?> literal, Concreteness concreteness,
String name) {
var target = literal.getTarget();
int arity = target.arity();
var parameters = target.getParameters();
var literalArguments = literal.getArguments();
var privateVariables = literal.getPrivateVariables(positiveVariables);
var builder = Dnf.builder("%s#%s#%s".formatted(target.name(), concreteness, name));
var rewrittenArguments = new ArrayList<Variable>(parameters.size());
var variablesToCount = new ArrayList<Variable>();
var helperArguments = new ArrayList<Variable>();
var literalToRewrittenArgumentMap = new HashMap<Variable, Variable>();
for (int i = 0; i < arity; i++) {
var literalArgument = literalArguments.get(i);
var parameter = parameters.get(i);
var rewrittenArgument = literalToRewrittenArgumentMap.computeIfAbsent(literalArgument, key -> {
helperArguments.add(key);
var newArgument = builder.parameter(parameter);
if (privateVariables.contains(key)) {
variablesToCount.add(newArgument);
}
return newArgument;
});
rewrittenArguments.add(rewrittenArgument);
}
return new CountResult(builder, rewrittenArguments, helperArguments, variablesToCount);
}
private void markAsDone(Literal literal) {
completedLiterals.add(literal);
positiveVariables.addAll(literal.getOutputVariables());
}
private void rewriteRecursively(AbstractCallLiteral callLiteral, Modality modality, Concreteness concreteness,
Dnf dnf) {
var liftedDnf = rewriter.getLifter().lift(modality, concreteness, dnf);
rewriteRecursively(callLiteral, liftedDnf);
}
private void rewriteRecursively(AbstractCallLiteral callLiteral, Dnf dnf) {
var rewrittenDnf = rewriter.rewrite(dnf);
var rewrittenLiteral = callLiteral.withTarget(rewrittenDnf);
markAsDone(rewrittenLiteral);
}
private void rewrite(AbstractCallLiteral callLiteral, Modality modality, Concreteness concreteness,
PartialRelation partialRelation) {
var relationRewriter = rewriter.getRelationRewriter(partialRelation);
var literals = relationRewriter.rewriteLiteral(
unmodifiablePositiveVariables, callLiteral, modality, concreteness);
int length = literals.size();
for (int i = length - 1; i >= 0; i--) {
workList.addFirst(literals.get(i));
}
}
private record CountResult(DnfBuilder builder, List<Variable> rewrittenArguments, List<Variable> helperArguments,
List<Variable> variablesToCount) {
}
}
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