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Example 16 with RealInterval

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

the class SampleCommonInterpreterTest method run.

private Expression run(int sampleSizeN, boolean alwaysSample, String expressionString) {
    SampleCommonInterpreter interpreter = new SampleCommonInterpreter(sampleSizeN, alwaysSample, random);
    Expression expression = parse(expressionString);
    if (expression.numberOfArguments() == 1 && Sets.isIntensionalSet(expression.get(0))) {
        IntensionalSet intensionalSet = (IntensionalSet) expression.get(0);
        IndexExpressionsSet indexExpressions = intensionalSet.getIndexExpressions();
        List<Expression> indices = IndexExpressions.getIndices(indexExpressions);
        if (indices.size() == 1) {
            Expression index = indices.get(0);
            Context intensionalSetContext = context.extendWith(indexExpressions);
            // Ensure condition of correct type is created
            Type indexType = GrinderUtil.getType(index, intensionalSetContext);
            SingleVariableConstraint singleVariableConstraint = null;
            if (indexType instanceof RealExpressoType || indexType instanceof RealInterval) {
                singleVariableConstraint = new SingleVariableLinearRealArithmeticConstraint(index, true, intensionalSetContext.getTheory());
            } else if (indexType instanceof IntegerExpressoType || indexType instanceof IntegerInterval) {
                singleVariableConstraint = new SingleVariableDifferenceArithmeticConstraint(index, true, intensionalSetContext.getTheory());
            }
            if (singleVariableConstraint != null) {
                singleVariableConstraint = singleVariableConstraint.conjoin(intensionalSet.getCondition(), intensionalSetContext);
                intensionalSet = intensionalSet.setCondition(singleVariableConstraint);
                expression = expression.set(0, intensionalSet);
            }
        }
    }
    Expression result = interpreter.apply(expression, context);
    System.out.println("Evaluation with " + sampleSizeN + " samples of " + expressionString + " = " + result.doubleValue() + " (as rational=" + toString(result) + ")");
    return result;
}
Also used : Context(com.sri.ai.grinder.sgdpllt.api.Context) TrueContext(com.sri.ai.grinder.sgdpllt.core.TrueContext) SingleVariableConstraint(com.sri.ai.grinder.sgdpllt.api.SingleVariableConstraint) IntegerInterval(com.sri.ai.expresso.type.IntegerInterval) SampleCommonInterpreter(com.sri.ai.grinder.sgdpllt.interpreter.SampleCommonInterpreter) RealInterval(com.sri.ai.expresso.type.RealInterval) Type(com.sri.ai.expresso.api.Type) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) IntegerExpressoType(com.sri.ai.expresso.type.IntegerExpressoType) IntensionalSet(com.sri.ai.expresso.api.IntensionalSet) Expression(com.sri.ai.expresso.api.Expression) IntegerExpressoType(com.sri.ai.expresso.type.IntegerExpressoType) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) IndexExpressionsSet(com.sri.ai.expresso.api.IndexExpressionsSet) SingleVariableDifferenceArithmeticConstraint(com.sri.ai.grinder.sgdpllt.theory.differencearithmetic.SingleVariableDifferenceArithmeticConstraint) SingleVariableLinearRealArithmeticConstraint(com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint)

Example 17 with RealInterval

use of com.sri.ai.expresso.type.RealInterval 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 18 with RealInterval

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

the class SingleVariableLinearRealArithmeticConstraint method getImplicitPositiveNormalizedAtomsIterator.

@Override
protected /**
	 * Returns iterator ranging over implicit positive normalized atoms representing variable bounds.
	 */
Iterator<Expression> getImplicitPositiveNormalizedAtomsIterator(Context context) {
    if (cachedImplicitPositiveNormalizedAtoms == null) {
        RealInterval interval = getType(context);
        Expression lowerBound = interval.getLowerBound();
        cachedImplicitPositiveNormalizedAtoms = list();
        if (interval.lowerBoundIsOpen() && !lowerBound.equals("unknown") && !lowerBound.equals(UnaryMinus.make(INFINITY))) {
            cachedImplicitPositiveNormalizedAtoms.add(apply(GREATER_THAN, getVariable(), lowerBound));
        }
        Expression upperBound = interval.getUpperBound();
        if (interval.upperBoundIsOpen() && !upperBound.equals("unknown") && !upperBound.equals(INFINITY)) {
            cachedImplicitPositiveNormalizedAtoms.add(apply(LESS_THAN, getVariable(), upperBound));
        }
    }
    return cachedImplicitPositiveNormalizedAtoms.iterator();
}
Also used : Expression(com.sri.ai.expresso.api.Expression) RealInterval(com.sri.ai.expresso.type.RealInterval)

Example 19 with RealInterval

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

the class SingleVariableLinearRealArithmeticConstraint method getType.

/**
	 * Returns the {@link IntegerInterval} type of the constraint's variable.
	 * @param context
	 * @return
	 */
public RealInterval getType(Context context) {
    if (cachedType == null) {
        Expression variableTypeExpression = getVariableTypeExpression(context);
        Type type = context.getType(variableTypeExpression);
        if (type instanceof RealExpressoType) {
            cachedType = new RealInterval("]-infinity;infinity[");
        // represents Real as real interval for uniformity
        } else {
            cachedType = (RealInterval) type;
        }
    }
    return cachedType;
}
Also used : Type(com.sri.ai.expresso.api.Type) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) Expression(com.sri.ai.expresso.api.Expression) RealExpressoType(com.sri.ai.expresso.type.RealExpressoType) RealInterval(com.sri.ai.expresso.type.RealInterval)

Example 20 with RealInterval

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

the class SingleVariableLinearRealArithmeticConstraint method getImplicitNegativeNormalizedAtomsIterator.

@Override
protected /**
	 * Returns iterator ranging over implicit negative normalized atoms representing variable bounds.
	 */
Iterator<Expression> getImplicitNegativeNormalizedAtomsIterator(Context context) {
    if (cachedImplicitNegativeNormalizedAtoms == null) {
        RealInterval interval = getType(context);
        Expression lowerBound = interval.getLowerBound();
        cachedImplicitNegativeNormalizedAtoms = list();
        if (!interval.lowerBoundIsOpen() && !lowerBound.equals("unknown") && !lowerBound.equals(UnaryMinus.make(INFINITY))) {
            cachedImplicitNegativeNormalizedAtoms.add(apply(LESS_THAN, getVariable(), lowerBound));
        // this is the negation of variable >= nonStrictLowerBound. We need to use a negative normalized atom because applications of >= are not considered normalized atoms
        }
        Expression upperBound = interval.getUpperBound();
        if (!interval.upperBoundIsOpen() && !upperBound.equals("unknown") && !upperBound.equals(INFINITY)) {
            cachedImplicitNegativeNormalizedAtoms.add(apply(GREATER_THAN, getVariable(), upperBound));
        // this is the negation of variable <= nonStrictUpperBound. We need to use a negative normalized atom because applications of <= are not considered normalized atoms
        }
    }
    return cachedImplicitNegativeNormalizedAtoms.iterator();
}
Also used : Expression(com.sri.ai.expresso.api.Expression) RealInterval(com.sri.ai.expresso.type.RealInterval)

Aggregations

RealInterval (com.sri.ai.expresso.type.RealInterval)32 Expression (com.sri.ai.expresso.api.Expression)22 RealExpressoType (com.sri.ai.expresso.type.RealExpressoType)17 Type (com.sri.ai.expresso.api.Type)12 IntegerInterval (com.sri.ai.expresso.type.IntegerInterval)12 FunctionType (com.sri.ai.expresso.type.FunctionType)11 IntegerExpressoType (com.sri.ai.expresso.type.IntegerExpressoType)8 Test (org.junit.Test)8 IntensionalSet (com.sri.ai.expresso.api.IntensionalSet)7 TupleType (com.sri.ai.expresso.type.TupleType)7 SingleVariableLinearRealArithmeticConstraint (com.sri.ai.grinder.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint)6 IndexExpressionsSet (com.sri.ai.expresso.api.IndexExpressionsSet)5 ExtensionalIndexExpressionsSet (com.sri.ai.expresso.core.ExtensionalIndexExpressionsSet)5 Categorical (com.sri.ai.expresso.type.Categorical)5 Rational (com.sri.ai.util.math.Rational)5 Context (com.sri.ai.grinder.api.Context)4 Context (com.sri.ai.grinder.sgdpllt.api.Context)4 SingleVariableLinearRealArithmeticConstraint (com.sri.ai.grinder.sgdpllt.theory.linearrealarithmetic.SingleVariableLinearRealArithmeticConstraint)4 TrueContext (com.sri.ai.grinder.core.TrueContext)3 SingleVariableDifferenceArithmeticConstraint (com.sri.ai.grinder.theory.differencearithmetic.SingleVariableDifferenceArithmeticConstraint)3