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Example 36 with FunctionType

use of com.sri.ai.expresso.type.FunctionType in project aic-expresso by aic-sri-international.

the class Measure method get.

public static Rational get(Expression intensionalSetExpression, Context context) {
    Rational result;
    if (Sets.isIntensionalSet(intensionalSetExpression)) {
        IntensionalSet intensionalSet = (IntensionalSet) intensionalSetExpression;
        IndexExpressionsSet indexExpressionsSet = intensionalSet.getIndexExpressions();
        List<Expression> indices = IndexExpressions.getIndices(indexExpressionsSet);
        if (indices.size() == 1) {
            Expression evaluatedResult;
            Expression intensionalSetIndex = indices.get(0);
            Expression intensionalSetHead = intensionalSet.getHead();
            if (!intensionalSetHead.equals(intensionalSetIndex)) {
                throw new UnsupportedOperationException("Index and Head must be the same to calculate the meaure of an Intensional : " + intensionalSet);
            }
            Expression intensionalSetCondition = intensionalSet.getCondition();
            Context intensionalSetContext = context.extendWith(indexExpressionsSet);
            Type indexType = GrinderUtil.getType(intensionalSetIndex, intensionalSetContext);
            if (intensionalSetCondition.equals(false)) {
                // short circuit known empty sets up front.
                evaluatedResult = Expressions.ZERO;
            } else if (indexType instanceof RealExpressoType || indexType instanceof RealInterval) {
                // NOTE : For Reals can always assume the condition is of this type.				
                SingleVariableLinearRealArithmeticConstraint svConstraint = (SingleVariableLinearRealArithmeticConstraint) intensionalSetCondition;
                MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver realSolver = new MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver(svConstraint);
                evaluatedResult = realSolver.solve(intensionalSetContext);
            } else if (indexType instanceof FunctionType) {
                if (!intensionalSetCondition.equals(true)) {
                    throw new UnsupportedOperationException("Measure of intensional set with a function type domain currently do not support conditions: " + intensionalSet);
                }
                // measure(co-domain)^measure(domain)
                FunctionType indexFunctionType = (FunctionType) indexType;
                Expression condomainIntensionalSet = constructComponentIntensionalSet(indexFunctionType.getCodomain(), intensionalSet, ZERO, intensionalSetContext);
                Rational codomainMeasure = get(condomainIntensionalSet, intensionalSetContext);
                Rational domainMeasure = Rational.ONE;
                for (Type argDomainType : indexFunctionType.getArgumentTypes()) {
                    Expression argDomainIntensionalSet = constructComponentIntensionalSet(argDomainType, intensionalSet, ZERO, intensionalSetContext);
                    Rational argMeasure = get(argDomainIntensionalSet, intensionalSetContext);
                    domainMeasure = domainMeasure.multiply(argMeasure);
                }
                evaluatedResult = Expressions.makeSymbol(codomainMeasure.pow(domainMeasure.intValueExact()));
            } else if (indexType instanceof TupleType) {
                if (!intensionalSetCondition.equals(true)) {
                    throw new UnsupportedOperationException("Measure of intensional set with a tuple type domain currently do not support conditions: " + intensionalSet);
                }
                // (element_1, ..., element_n) = measure(element_1) * ... * measure(element_n)
                TupleType indexTupleType = (TupleType) indexType;
                Rational elementMeasuresProduct = Rational.ONE;
                for (Type elementType : indexTupleType.getElementTypes()) {
                    Expression elementDomainIntensionalSet = constructComponentIntensionalSet(elementType, intensionalSet, ZERO, intensionalSetContext);
                    Rational elementMeasure = get(elementDomainIntensionalSet, intensionalSetContext);
                    elementMeasuresProduct = elementMeasuresProduct.multiply(elementMeasure);
                }
                evaluatedResult = Expressions.makeSymbol(elementMeasuresProduct);
            } else {
                Expression countingFormula = new DefaultCountingFormula(indexExpressionsSet, intensionalSet.getCondition());
                evaluatedResult = context.getTheory().evaluate(countingFormula, context);
            }
            if (Expressions.isNumber(evaluatedResult)) {
                result = evaluatedResult.rationalValue();
            } else {
                throw new UnsupportedOperationException("Unable to compute a finite measure for: " + intensionalSet + ", got : " + evaluatedResult);
            }
        } else {
            throw new UnsupportedOperationException("Currently only support the measure of single indexed intensional sets: " + intensionalSet);
        }
    } else {
        throw new IllegalArgumentException("Not an intensional set: " + intensionalSetExpression);
    }
    return result;
}
Also used : Context(com.sri.ai.grinder.sgdpllt.api.Context) Rational(com.sri.ai.util.math.Rational) FunctionType(com.sri.ai.expresso.type.FunctionType) DefaultCountingFormula(com.sri.ai.expresso.core.DefaultCountingFormula) RealInterval(com.sri.ai.expresso.type.RealInterval) Type(com.sri.ai.expresso.api.Type) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) FunctionType(com.sri.ai.expresso.type.FunctionType) TupleType(com.sri.ai.expresso.type.TupleType) IntensionalSet(com.sri.ai.expresso.api.IntensionalSet) Expression(com.sri.ai.expresso.api.Expression) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) TupleType(com.sri.ai.expresso.type.TupleType) ExtensionalIndexExpressionsSet(com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet) IndexExpressionsSet(com.sri.ai.expresso.api.IndexExpressionsSet) SingleVariableLinearRealArithmeticConstraint(com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint) MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver(com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver)

Example 37 with FunctionType

use of com.sri.ai.expresso.type.FunctionType in project aic-expresso by aic-sri-international.

the class BruteForceFunctionTheoryTestingSupport method makeRandomAtomOn.

@Override
public Expression makeRandomAtomOn(String mainVariable, Context context) {
    Expression result;
    Type mainType = getTestingVariableType(mainVariable);
    FunctionType mainFunctionType = ensureFunctionType(mainType);
    Expression mainFunctionApplication = makeFunctionApplication(mainVariable, mainFunctionType);
    // it as the atom.
    if (mainFunctionType.getCodomain().equals(BOOLEAN_TYPE)) {
        result = mainFunctionApplication;
    } else {
        // If it is of some other type, pick another (or the same) function 
        // with the same co-domain. 
        String otherVariable = pickTestingVariableAtRandom(mainFunctionType.getCodomain(), variableName -> true);
        // Generate another function application
        Type otherType = getTestingVariableType(otherVariable);
        FunctionType otherFunctionType = ensureFunctionType(otherType);
        Expression otherFunctionApplication = makeFunctionApplication(otherVariable, otherFunctionType);
        // With it, form an equality or an inequality
        if (getRandom().nextBoolean()) {
            result = Equality.make(mainFunctionApplication, otherFunctionApplication);
        } else {
            result = Disequality.make(mainFunctionApplication, otherFunctionApplication);
        }
    }
    return result;
}
Also used : Type(com.sri.ai.expresso.api.Type) FunctionType(com.sri.ai.expresso.type.FunctionType) Expression(com.sri.ai.expresso.api.Expression) FunctionType(com.sri.ai.expresso.type.FunctionType)

Example 38 with FunctionType

use of com.sri.ai.expresso.type.FunctionType in project aic-expresso by aic-sri-international.

the class UnificationStepSolverTest method advancedCompositeTest.

@Ignore("TODO - context implementation currently does not support these more advanced/indirect comparisons")
@Test
public void advancedCompositeTest() {
    TheoryTestingSupport theoryTestingSupport = TheoryTestingSupport.make(seededRandom, new CompoundTheory(new EqualityTheory(false, true), new DifferenceArithmeticTheory(false, true), new LinearRealArithmeticTheory(false, true), new PropositionalTheory()));
    // NOTE: passing explicit FunctionTypes will prevent the general variables' argument types being randomly changed.
    theoryTestingSupport.setVariableNamesAndTypesForTesting(map("P", BOOLEAN_TYPE, "Q", BOOLEAN_TYPE, "R", BOOLEAN_TYPE, "unary_prop/1", new FunctionType(BOOLEAN_TYPE, BOOLEAN_TYPE), "binary_prop/2", new FunctionType(BOOLEAN_TYPE, BOOLEAN_TYPE, BOOLEAN_TYPE), "S", TESTING_CATEGORICAL_TYPE, "T", TESTING_CATEGORICAL_TYPE, "U", TESTING_CATEGORICAL_TYPE, "unary_eq/1", new FunctionType(TESTING_CATEGORICAL_TYPE, TESTING_CATEGORICAL_TYPE), "binary_eq/2", new FunctionType(TESTING_CATEGORICAL_TYPE, TESTING_CATEGORICAL_TYPE, TESTING_CATEGORICAL_TYPE), "I", TESTING_INTEGER_INTERVAL_TYPE, "J", TESTING_INTEGER_INTERVAL_TYPE, "K", TESTING_INTEGER_INTERVAL_TYPE, "unary_dar/1", new FunctionType(TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE), "binary_dar/2", new FunctionType(TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE), "X", TESTING_REAL_INTERVAL_TYPE, "Y", TESTING_REAL_INTERVAL_TYPE, "Z", TESTING_REAL_INTERVAL_TYPE, "unary_lra/1", new FunctionType(TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE), "binary_lra/2", new FunctionType(TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE)));
    Context rootContext = theoryTestingSupport.makeContextWithTestingInformation();
    UnificationStepSolver unificationStepSolver = new UnificationStepSolver(parse("binary_prop(P, unary_prop(P))"), parse("binary_prop(unary_prop(Q), Q)"));
    Context localTestContext = rootContext.conjoinWithConjunctiveClause(parse("not P and Q and not unary_prop(Q) and unary_prop(P)"), rootContext);
    StepSolver.Step<Boolean> step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(true, step.getValue());
    localTestContext = rootContext.conjoinWithConjunctiveClause(parse("P and Q and not unary_prop(Q) and unary_prop(P)"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(false, step.getValue());
}
Also used : Context(com.sri.ai.grinder.sgdpllt.api.Context) EqualityTheory(com.sri.ai.grinder.sgdpllt.theory.equality.EqualityTheory) TheoryTestingSupport(com.sri.ai.grinder.sgdpllt.tester.TheoryTestingSupport) DifferenceArithmeticTheory(com.sri.ai.grinder.sgdpllt.theory.differencearithmetic.DifferenceArithmeticTheory) FunctionType(com.sri.ai.expresso.type.FunctionType) LinearRealArithmeticTheory(com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.LinearRealArithmeticTheory) PropositionalTheory(com.sri.ai.grinder.sgdpllt.theory.propositional.PropositionalTheory) CompoundTheory(com.sri.ai.grinder.sgdpllt.theory.compound.CompoundTheory) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) StepSolver(com.sri.ai.grinder.sgdpllt.api.StepSolver) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) Ignore(org.junit.Ignore) Test(org.junit.Test)

Example 39 with FunctionType

use of com.sri.ai.expresso.type.FunctionType in project aic-expresso by aic-sri-international.

the class UnificationStepSolverTest method differenceArithmeticTest.

@Test
public void differenceArithmeticTest() {
    TheoryTestingSupport theoryTestingSupport = TheoryTestingSupport.make(seededRandom, new DifferenceArithmeticTheory(true, true));
    // NOTE: passing explicit FunctionTypes will prevent the general variables' argument types being randomly changed.
    theoryTestingSupport.setVariableNamesAndTypesForTesting(map("I", TESTING_INTEGER_INTERVAL_TYPE, "J", TESTING_INTEGER_INTERVAL_TYPE, "K", TESTING_INTEGER_INTERVAL_TYPE, "unary_dar", new FunctionType(TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE), "binary_dar", new FunctionType(TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE, TESTING_INTEGER_INTERVAL_TYPE)));
    Context rootContext = theoryTestingSupport.makeContextWithTestingInformation();
    UnificationStepSolver unificationStepSolver = new UnificationStepSolver(parse("unary_dar(I)"), parse("unary_dar(I)"));
    StepSolver.Step<Boolean> step = unificationStepSolver.step(rootContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(true, step.getValue());
    unificationStepSolver = new UnificationStepSolver(parse("unary_dar(I)"), parse("unary_dar(J)"));
    step = unificationStepSolver.step(rootContext);
    Assert.assertEquals(true, step.itDepends());
    Assert.assertEquals(Expressions.parse("I = J"), step.getSplitter());
    Assert.assertEquals(false, step.getStepSolverForWhenSplitterIsTrue().step(rootContext).itDepends());
    Assert.assertEquals(true, step.getStepSolverForWhenSplitterIsTrue().step(rootContext).getValue());
    Assert.assertEquals(false, step.getStepSolverForWhenSplitterIsFalse().step(rootContext).itDepends());
    Assert.assertEquals(false, step.getStepSolverForWhenSplitterIsFalse().step(rootContext).getValue());
    Context localTestContext = rootContext.conjoinWithConjunctiveClause(parse("I = 0 and J = 1"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(false, step.getValue());
    unificationStepSolver = new UnificationStepSolver(parse("unary_dar(I)"), parse("unary_dar(0)"));
    localTestContext = rootContext.conjoinWithConjunctiveClause(parse("I = 0"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(true, step.getValue());
    localTestContext = rootContext.conjoinWithConjunctiveClause(parse("I = 1"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(false, step.getValue());
    unificationStepSolver = new UnificationStepSolver(parse("binary_dar(I, unary_dar(I))"), parse("binary_dar(unary_dar(J), J)"));
    step = unificationStepSolver.step(rootContext);
    Assert.assertEquals(true, step.itDepends());
    Assert.assertEquals(Expressions.parse("I = unary_dar(J)"), step.getSplitter());
}
Also used : Context(com.sri.ai.grinder.sgdpllt.api.Context) TheoryTestingSupport(com.sri.ai.grinder.sgdpllt.tester.TheoryTestingSupport) DifferenceArithmeticTheory(com.sri.ai.grinder.sgdpllt.theory.differencearithmetic.DifferenceArithmeticTheory) FunctionType(com.sri.ai.expresso.type.FunctionType) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) StepSolver(com.sri.ai.grinder.sgdpllt.api.StepSolver) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) Test(org.junit.Test)

Example 40 with FunctionType

use of com.sri.ai.expresso.type.FunctionType in project aic-expresso by aic-sri-international.

the class UnificationStepSolverTest method advancedLinearRealArithmeticTest.

@Ignore("TODO - context implementation currently does not support these more advanced/indirect comparisons")
@Test
public void advancedLinearRealArithmeticTest() {
    TheoryTestingSupport theoryTestingSupport = TheoryTestingSupport.make(seededRandom, new LinearRealArithmeticTheory(true, true));
    // NOTE: passing explicit FunctionTypes will prevent the general variables' argument types being randomly changed.
    theoryTestingSupport.setVariableNamesAndTypesForTesting(map("X", TESTING_REAL_INTERVAL_TYPE, "Y", TESTING_REAL_INTERVAL_TYPE, "Z", TESTING_REAL_INTERVAL_TYPE, "unary_lra/1", new FunctionType(TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE), "binary_lra/2", new FunctionType(TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE, TESTING_REAL_INTERVAL_TYPE)));
    Context rootContext = theoryTestingSupport.makeContextWithTestingInformation();
    UnificationStepSolver unificationStepSolver = new UnificationStepSolver(parse("binary_lra(X, unary_lra(X))"), parse("binary_lra(unary_lra(Y), Y)"));
    Context localTestContext = rootContext.conjoinWithConjunctiveClause(parse("X = 0 and Y = 1 and unary_lra(Y) = 0 and unary_lra(X) = 1"), rootContext);
    StepSolver.Step<Boolean> step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(true, step.getValue());
    localTestContext = rootContext.conjoinWithConjunctiveClause(parse("X = 1 and Y = 1 and unary_lra(Y) = 0 and unary_lra(X) = 1"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(false, step.getValue());
    localTestContext = rootContext.conjoinWithConjunctiveClause(parse("X = 0 and Y = 1 and unary_lra(1) = 0 and unary_lra(0) = 1"), rootContext);
    step = unificationStepSolver.step(localTestContext);
    Assert.assertEquals(false, step.itDepends());
    Assert.assertEquals(true, step.getValue());
}
Also used : Context(com.sri.ai.grinder.sgdpllt.api.Context) TheoryTestingSupport(com.sri.ai.grinder.sgdpllt.tester.TheoryTestingSupport) FunctionType(com.sri.ai.expresso.type.FunctionType) LinearRealArithmeticTheory(com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.LinearRealArithmeticTheory) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) StepSolver(com.sri.ai.grinder.sgdpllt.api.StepSolver) UnificationStepSolver(com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver) Ignore(org.junit.Ignore) Test(org.junit.Test)

Aggregations

FunctionType (com.sri.ai.expresso.type.FunctionType)57 Test (org.junit.Test)28 Expression (com.sri.ai.expresso.api.Expression)23 Type (com.sri.ai.expresso.api.Type)22 IntegerInterval (com.sri.ai.expresso.type.IntegerInterval)17 Context (com.sri.ai.grinder.api.Context)15 Context (com.sri.ai.grinder.sgdpllt.api.Context)14 IndexExpressionsSet (com.sri.ai.expresso.api.IndexExpressionsSet)13 ArrayList (java.util.ArrayList)13 RealInterval (com.sri.ai.expresso.type.RealInterval)12 TheoryTestingSupport (com.sri.ai.grinder.sgdpllt.tester.TheoryTestingSupport)11 TheoryTestingSupport (com.sri.ai.grinder.tester.TheoryTestingSupport)11 TupleType (com.sri.ai.expresso.type.TupleType)10 StepSolver (com.sri.ai.grinder.api.StepSolver)10 StepSolver (com.sri.ai.grinder.sgdpllt.api.StepSolver)10 UnificationStepSolver (com.sri.ai.grinder.sgdpllt.theory.base.UnificationStepSolver)10 UnificationStepSolver (com.sri.ai.grinder.theory.base.UnificationStepSolver)10 Ignore (org.junit.Ignore)10 IntensionalSet (com.sri.ai.expresso.api.IntensionalSet)9 ExtensionalIndexExpressionsSet (com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet)9