Search in sources :

Example 1 with DefaultCountingFormula

use of com.sri.ai.expresso.core.DefaultCountingFormula in project aic-expresso by aic-sri-international.

the class Expressions method makeDefaultCountingFormulaExpressionFromLabelAndSubTrees.

private static Expression makeDefaultCountingFormulaExpressionFromLabelAndSubTrees(Object label, Object[] subTreeObjects) {
    ArrayList<Expression> subTreeExpressions = Util.mapIntoArrayList(subTreeObjects, Expressions::makeFromObject);
    Expression indexExpressionsKleeneList = subTreeExpressions.get(0);
    IndexExpressionsSet indexExpressions = new ExtensionalIndexExpressionsSet(ensureListFromKleeneList(indexExpressionsKleeneList));
    Expression body = subTreeExpressions.get(1);
    Expression result = new DefaultCountingFormula(indexExpressions, body);
    return result;
}
Also used : ExtensionalIndexExpressionsSet(com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet) DefaultLambdaExpression(com.sri.ai.expresso.core.DefaultLambdaExpression) Expression(com.sri.ai.expresso.api.Expression) LambdaExpression(com.sri.ai.expresso.api.LambdaExpression) IndexExpressions(com.sri.ai.grinder.library.indexexpression.IndexExpressions) ExtensionalIndexExpressionsSet(com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet) IndexExpressionsSet(com.sri.ai.expresso.api.IndexExpressionsSet) DefaultCountingFormula(com.sri.ai.expresso.core.DefaultCountingFormula)

Example 2 with DefaultCountingFormula

use of com.sri.ai.expresso.core.DefaultCountingFormula 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.getTypeOfExpression(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.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.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint) MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver(com.sri.ai.grinder.theory.linearrealarithmetic.MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver)

Example 3 with DefaultCountingFormula

use of com.sri.ai.expresso.core.DefaultCountingFormula 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 4 with DefaultCountingFormula

use of com.sri.ai.expresso.core.DefaultCountingFormula in project aic-expresso by aic-sri-international.

the class TupleQuantifierSimplifier method rewriteCountingFormula.

private static Expression rewriteCountingFormula(CountingFormula countingFormula, Map<Expression, Expression> indexToTypeMap, Map<Expression, Expression> indexToTupleOfVars, Context context) {
    Pair<IndexExpressionsSet, Expression> updatePair = update(countingFormula.getBody(), indexToTypeMap, indexToTupleOfVars, context);
    Expression result = new DefaultCountingFormula(updatePair.first, updatePair.second);
    return result;
}
Also used : DefaultLambdaExpression(com.sri.ai.expresso.core.DefaultLambdaExpression) Expression(com.sri.ai.expresso.api.Expression) LambdaExpression(com.sri.ai.expresso.api.LambdaExpression) QuantifiedExpression(com.sri.ai.expresso.api.QuantifiedExpression) ExtensionalIndexExpressionsSet(com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet) IndexExpressionsSet(com.sri.ai.expresso.api.IndexExpressionsSet) DefaultCountingFormula(com.sri.ai.expresso.core.DefaultCountingFormula)

Example 5 with DefaultCountingFormula

use of com.sri.ai.expresso.core.DefaultCountingFormula in project aic-expresso by aic-sri-international.

the class TupleQuantifierSimplifier method rewriteCountingFormula.

private static Expression rewriteCountingFormula(CountingFormula countingFormula, Map<Expression, Expression> indexToTypeMap, Map<Expression, Expression> indexToTupleOfVars, Context context) {
    Pair<IndexExpressionsSet, Expression> updatePair = update(countingFormula.getBody(), indexToTypeMap, indexToTupleOfVars, context);
    Expression result = new DefaultCountingFormula(updatePair.first, updatePair.second);
    return result;
}
Also used : DefaultLambdaExpression(com.sri.ai.expresso.core.DefaultLambdaExpression) Expression(com.sri.ai.expresso.api.Expression) LambdaExpression(com.sri.ai.expresso.api.LambdaExpression) QuantifiedExpression(com.sri.ai.expresso.api.QuantifiedExpression) ExtensionalIndexExpressionsSet(com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet) IndexExpressionsSet(com.sri.ai.expresso.api.IndexExpressionsSet) DefaultCountingFormula(com.sri.ai.expresso.core.DefaultCountingFormula)

Aggregations

Expression (com.sri.ai.expresso.api.Expression)5 IndexExpressionsSet (com.sri.ai.expresso.api.IndexExpressionsSet)5 DefaultCountingFormula (com.sri.ai.expresso.core.DefaultCountingFormula)5 ExtensionalIndexExpressionsSet (com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet)5 LambdaExpression (com.sri.ai.expresso.api.LambdaExpression)3 DefaultLambdaExpression (com.sri.ai.expresso.core.DefaultLambdaExpression)3 IntensionalSet (com.sri.ai.expresso.api.IntensionalSet)2 QuantifiedExpression (com.sri.ai.expresso.api.QuantifiedExpression)2 Type (com.sri.ai.expresso.api.Type)2 FunctionType (com.sri.ai.expresso.type.FunctionType)2 RealExpressoType (com.sri.ai.expresso.type.RealExpressoType)2 RealInterval (com.sri.ai.expresso.type.RealInterval)2 TupleType (com.sri.ai.expresso.type.TupleType)2 Rational (com.sri.ai.util.math.Rational)2 Context (com.sri.ai.grinder.api.Context)1 IndexExpressions (com.sri.ai.grinder.library.indexexpression.IndexExpressions)1 Context (com.sri.ai.grinder.sgdpllt.api.Context)1 MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver (com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver)1 SingleVariableLinearRealArithmeticConstraint (com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint)1 MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver (com.sri.ai.grinder.theory.linearrealarithmetic.MeasureOfSingleVariableLinearRealArithmeticConstraintStepSolver)1