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| 1 | +package liquidjava.rj_language.opt; |
| 2 | + |
| 3 | +import static liquidjava.utils.VCTestUtils.vc; |
| 4 | +import static org.junit.jupiter.api.Assertions.assertTrue; |
| 5 | + |
| 6 | +import com.pholser.junit.quickcheck.From; |
| 7 | +import com.pholser.junit.quickcheck.Property; |
| 8 | +import com.pholser.junit.quickcheck.runner.JUnitQuickcheck; |
| 9 | +import java.util.ArrayList; |
| 10 | +import java.util.List; |
| 11 | +import liquidjava.processor.VCImplication; |
| 12 | +import liquidjava.processor.context.Context; |
| 13 | +import liquidjava.rj_language.Predicate; |
| 14 | +import liquidjava.rj_language.SimplifiedPredicate; |
| 15 | +import liquidjava.rj_language.ast.BinaryExpression; |
| 16 | +import liquidjava.rj_language.ast.Expression; |
| 17 | +import liquidjava.rj_language.ast.Var; |
| 18 | +import liquidjava.smt.SMTEvaluator; |
| 19 | +import liquidjava.smt.SMTResult; |
| 20 | +import liquidjava.utils.TestUtils; |
| 21 | +import org.junit.runner.RunWith; |
| 22 | + |
| 23 | +@RunWith(JUnitQuickcheck.class) |
| 24 | +public class VCSimplificationPropertyBasedTest { |
| 25 | + |
| 26 | + private static final int TRIALS = 800; |
| 27 | + |
| 28 | + @Property(trials = TRIALS) |
| 29 | + public void eachSimplificationStepPreservesVcSemantics(@From(VCImplicationGenerator.class) VCImplication vc) { |
| 30 | + setUpContext(); |
| 31 | + VCImplication current = vc; |
| 32 | + |
| 33 | + for (int step = 0; step < VCImplicationGenerator.BINDERS.length; step++) { |
| 34 | + VCImplication simplified = VCSimplifier.simplifyOnce(current); |
| 35 | + if (sameVc(current, simplified)) |
| 36 | + break; |
| 37 | + |
| 38 | + assertEquivalent(current, simplified, step); |
| 39 | + current = simplified; |
| 40 | + } |
| 41 | + System.out.println("---------------------------------------------------------"); |
| 42 | + } |
| 43 | + |
| 44 | + private static void setUpContext() { |
| 45 | + Context.getInstance().reinitializeAllContext(); |
| 46 | + for (String variable : VCImplicationGenerator.BINDERS) |
| 47 | + TestUtils.addIntVariableToContext(variable); |
| 48 | + for (String variable : VCImplicationGenerator.FREE_VARS) |
| 49 | + TestUtils.addIntVariableToContext(variable); |
| 50 | + } |
| 51 | + |
| 52 | + private static boolean sameVc(VCImplication left, VCImplication right) { |
| 53 | + return left.toString().equals(right.toString()); |
| 54 | + } |
| 55 | + |
| 56 | + private static void assertEquivalent(VCImplication unsimplified, VCImplication simplified, int step) { |
| 57 | + Predicate premises = substitutionPremises(unsimplified); |
| 58 | + Predicate unsimplifiedFormula = Predicate.createConjunction(premises, new Predicate(vcFormula(unsimplified))); |
| 59 | + Predicate simplifiedFormula = Predicate.createConjunction(premises, new Predicate(vcFormula(simplified))); |
| 60 | + System.out.println(unsimplifiedFormula); |
| 61 | + System.out.println("=>"); |
| 62 | + System.out.println(simplifiedFormula); |
| 63 | + assertImplies(unsimplifiedFormula, simplifiedFormula, unsimplified, simplified, step, |
| 64 | + "unsimplified => simplified"); |
| 65 | + assertImplies(simplifiedFormula, unsimplifiedFormula, unsimplified, simplified, step, |
| 66 | + "simplified => unsimplified"); |
| 67 | + } |
| 68 | + |
| 69 | + private static Expression vcFormula(VCImplication implication) { |
| 70 | + Expression refinement = activeExpression(implication.getRefinement()).clone(); |
| 71 | + if (!implication.hasNext()) |
| 72 | + return refinement; |
| 73 | + return new BinaryExpression(refinement, "-->", vcFormula(implication.getNext())); |
| 74 | + } |
| 75 | + |
| 76 | + private static Predicate substitutionPremises(VCImplication implication) { |
| 77 | + Predicate premises = new Predicate(); |
| 78 | + for (VCImplication current = implication; current != null; current = current.getNext()) { |
| 79 | + if (isSubstitution(current)) |
| 80 | + premises = Predicate.createConjunction(premises, current.getRefinement()); |
| 81 | + } |
| 82 | + return premises; |
| 83 | + } |
| 84 | + |
| 85 | + private static boolean isSubstitution(VCImplication implication) { |
| 86 | + if (!implication.hasBinder()) |
| 87 | + return false; |
| 88 | + |
| 89 | + Expression refinement = activeExpression(implication.getRefinement()); |
| 90 | + if (!(refinement instanceof BinaryExpression binary) || !"==".equals(binary.getOperator())) |
| 91 | + return false; |
| 92 | + |
| 93 | + String name = implication.getName(); |
| 94 | + Expression left = binary.getFirstOperand(); |
| 95 | + Expression right = binary.getSecondOperand(); |
| 96 | + return isVar(left, name) && !containsVariable(right, name) |
| 97 | + || isVar(right, name) && !containsVariable(left, name); |
| 98 | + } |
| 99 | + |
| 100 | + private static void assertImplies(Predicate antecedent, Predicate consequent, VCImplication unsimplified, |
| 101 | + VCImplication simplified, int step, String direction) { |
| 102 | + try { |
| 103 | + SMTResult result = new SMTEvaluator().verifySubtype(antecedent, consequent, Context.getInstance(), true); |
| 104 | + assertTrue(result.isOk(), () -> direction + " failed at step " + step + "\nunsimplified: " + unsimplified |
| 105 | + + "\nsimplified: " + simplified); |
| 106 | + } catch (Exception e) { |
| 107 | + throw new AssertionError(direction + " could not be checked at step " + step + "\nunsimplified: " |
| 108 | + + unsimplified + "\nsimplified: " + simplified, e); |
| 109 | + } |
| 110 | + } |
| 111 | + |
| 112 | + private static boolean isVar(Expression expression, String name) { |
| 113 | + return expression instanceof Var var && name.equals(var.getName()); |
| 114 | + } |
| 115 | + |
| 116 | + private static boolean containsVariable(Expression expression, String name) { |
| 117 | + List<String> names = new ArrayList<>(); |
| 118 | + expression.getVariableNames(names); |
| 119 | + return names.contains(name); |
| 120 | + } |
| 121 | + |
| 122 | + private static Expression activeExpression(Predicate predicate) { |
| 123 | + if (predicate instanceof SimplifiedPredicate simplified) |
| 124 | + return simplified.getSimplifiedPredicate().getExpression(); |
| 125 | + return predicate.getExpression(); |
| 126 | + } |
| 127 | +} |
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