Examples with BooleanFactory kodkod.engine.bool.BooleanFactory used on opensource projects

Example 6 with BooleanFactory

use of kodkod.engine.bool.BooleanFactory in project org.alloytools.alloy by AlloyTools.

the class FOL2BoolTranslator method comprehension.

/**
 * Translates the given comprehension as follows (where A_0...A_|A| stand for
 * boolean variables that represent the tuples of the expression A, etc.): let
 * comprehension = "{ a: A, b: B, ..., x: X | F(a, b, ..., x) }" | { a: A, b: B,
 * ..., x: X | a in A && b in B && ... && x in X && F(a, b, ..., x) }.
 *
 * @param decls the declarations comprehension
 * @param param formula the body of the comprehension
 * @param currentDecl currently processed declaration; should be 0 initially
 * @param declConstraints the constraints implied by the declarations; should be
 *            Boolean.TRUE intially
 * @param partialIndex partial index into the provided matrix; should be 0
 *            initially
 * @param matrix boolean matrix that will retain the final results; should be an
 *            empty matrix of dimensions universe.size^decls.length initially
 * @ensures the given matrix contains the translation of the comprehension "{
 *          decls | formula }"
 */
private final void comprehension(Decls decls, Formula formula, int currentDecl, BooleanValue declConstraints, int partialIndex, BooleanMatrix matrix) {
    final BooleanFactory factory = interpreter.factory();
    if (currentDecl == decls.size()) {
        // TODO: what about this and overflow???
        matrix.set(partialIndex, factory.and(declConstraints, formula.accept(this)));
        return;
    }
    final Decl decl = decls.get(currentDecl);
    final BooleanMatrix declTransl = visit(decl);
    final int position = (int) StrictMath.pow(interpreter.universe().size(), decls.size() - currentDecl - 1);
    final BooleanMatrix groundValue = factory.matrix(declTransl.dimensions());
    env = env.extend(decl.variable(), decl.expression(), groundValue);
    for (IndexedEntry<BooleanValue> entry : declTransl) {
        groundValue.set(entry.index(), BooleanConstant.TRUE);
        comprehension(decls, formula, currentDecl + 1, factory.and(entry.value(), declConstraints), partialIndex + entry.index() * position, matrix);
        groundValue.set(entry.index(), BooleanConstant.FALSE);
    }
    env = env.parent();
}

Example 7 with BooleanFactory

use of kodkod.engine.bool.BooleanFactory in project org.alloytools.alloy by AlloyTools.

the class FOL2BoolTranslator method visit.

/**
 * Calls lookup(binFormula) and returns the cached value, if any. If a
 * translation has not been cached, translates the formula, calls cache(...) on
 * it and returns it.
 *
 * @return let t = lookup(binFormula) | some t => t, cache(binFormula,
 *         binFormula.op(binFormula.left.accept(this),
 *         binFormula.right.accept(this))
 */
@Override
public final BooleanValue visit(BinaryFormula binFormula) {
    BooleanValue ret = lookup(binFormula);
    if (ret != null)
        return ret;
    final BooleanValue left = binFormula.left().accept(this);
    final BooleanValue right = binFormula.right().accept(this);
    final FormulaOperator op = binFormula.op();
    final BooleanFactory f = interpreter.factory();
    switch(op) {
        case AND:
            ret = f.and(left, right);
            break;
        case OR:
            ret = f.or(left, right);
            break;
        case IMPLIES:
            ret = f.implies(left, right);
            break;
        case IFF:
            ret = f.iff(left, right);
            break;
        default:
            throw new IllegalArgumentException("Unknown operator: " + op);
    }
    return cache(binFormula, ret);
}

Example 8 with BooleanFactory

use of kodkod.engine.bool.BooleanFactory in project org.alloytools.alloy by AlloyTools.

the class FOL2BoolTranslator method approximate.

/**
 * Translates the given annotated expression into a boolean matrix that is a
 * least sound upper bound on the expression's value, given the leaf and
 * variable bindings in the the provided interpreter and environment.
 *
 * @requires interpreter.relations = AnnotatedNode.relations(annotated)
 * @return a boolean matrix that is a least sound upper bound on the
 *         expression's value
 * @throws HigherOrderDeclException annotated.node contains a higher order
 *             declaration
 * @throws UnboundLeafException annotated.node refers to a variable that neither
 *             declared nor bound in env
 */
static final BooleanMatrix approximate(AnnotatedNode<Expression> annotated, LeafInterpreter interpreter, Environment<BooleanMatrix, Expression> env) {
    final FOL2BoolTranslator approximator = new FOL2BoolTranslator(new FOL2BoolCache(annotated), interpreter, env) {

        @Override
        public final BooleanMatrix visit(BinaryExpression binExpr) {
            final BooleanMatrix ret = lookup(binExpr);
            if (ret != null)
                return ret;
            switch(binExpr.op()) {
                case DIFFERENCE:
                    return cache(binExpr, binExpr.left().accept(this));
                case OVERRIDE:
                    return cache(binExpr, binExpr.left().accept(this).or(binExpr.right().accept(this)));
                default:
                    return super.visit(binExpr);
            }
        }

        @Override
        public final BooleanMatrix visit(Comprehension cexpr) {
            final BooleanMatrix ret = lookup(cexpr);
            return ret != null ? ret : cache(cexpr, super.visit((Comprehension) Formula.TRUE.comprehension(cexpr.decls())));
        }

        @Override
        public BooleanMatrix visit(IfExpression ifExpr) {
            final BooleanMatrix ret = lookup(ifExpr);
            return ret != null ? ret : cache(ifExpr, ifExpr.thenExpr().accept(this).or(ifExpr.elseExpr().accept(this)));
        }

        @Override
        public BooleanMatrix visit(IntToExprCast castExpr) {
            BooleanMatrix ret = lookup(castExpr);
            if (ret != null)
                return ret;
            switch(castExpr.op()) {
                case INTCAST:
                    return cache(castExpr, Expression.INTS.accept(this));
                case BITSETCAST:
                    final BooleanFactory factory = super.interpreter.factory();
                    ret = factory.matrix(Dimensions.square(super.interpreter.universe().size(), 1));
                    final IntSet ints = super.interpreter.ints();
                    final int msb = factory.bitwidth() - 1;
                    // handle all bits but the sign bit
                    for (int i = 0; i < msb; i++) {
                        int pow2 = 1 << i;
                        if (ints.contains(pow2)) {
                            ret.set(super.interpreter.interpret(pow2), BooleanConstant.TRUE);
                        }
                    }
                    // handle the sign bit
                    if (ints.contains(-1 << msb)) {
                        ret.set(super.interpreter.interpret(-1 << msb), BooleanConstant.TRUE);
                    }
                    return cache(castExpr, ret);
                default:
                    throw new IllegalArgumentException("Unknown operator: " + castExpr.op());
            }
        }
    };
    return annotated.node().accept(approximator);
}

Example 9 with BooleanFactory

use of kodkod.engine.bool.BooleanFactory in project org.alloytools.alloy by AlloyTools.

the class FOL2BoolTranslator method all.

/**
 * Translates the given universally quantified formula as follows (where
 * A_0...A_|A| stand for boolean variables that represent the tuples of the
 * expression A, etc.): let quantFormula = "all a: A, b: B, ..., x: X | F(a, b,
 * ..., x)" | (A_0 && B_0 && ... && X_0 => translate(F(A_0, B_0, ..., X_0))) &&
 * ... && (A_|A| && B_|B| && ... && X_|X| => translate(F(A_|A|, B_|B|, ...,
 * X_|X|))) If the noOverflow option is specified, then the translation looks
 * like: let quantFormula = "all a: A, b: B, ..., x: X | F(a, b, ..., x)" | (A_0
 * && B_0 && ... && X_0 => (!of(F(A_0, B_0, ..., X_0)) => translate(F(A_0, B_0,
 * ..., X_0)))) && ... && (A_|A| && B_|B| && ... && X_|X| => (!of(F(A_|A|,
 * B_|B|, ..., X_|X|)) => translate(F(A_|A|, B_|B|, ..., X_|X|)))) where
 * of(F(A_|a|, B_|b|, ..., X_|x|)) is the portion of the overflow circuit
 * generated by the translation of F(A_|a|, B_|b|, ..., X_|x|) contributed by
 * arithmetic operations over only the integer variables of this quantifier
 *
 * @param decls formula declarations
 * @param formula the formula body
 * @param currentDecl currently processed declaration; should be 0 initially
 * @param declConstraints the constraints implied by the declarations; should be
 *            Boolean.FALSE initially
 * @param acc the accumulator that contains the top level conjunction; should be
 *            an empty AND accumulator initially
 * @ensures the given accumulator contains the translation of the formula "all
 *          decls | formula"
 */
private void all(Decls decls, Formula formula, int currentDecl, BooleanValue declConstraints, BooleanAccumulator acc) {
    if (acc.isShortCircuited())
        return;
    final BooleanFactory factory = interpreter.factory();
    if (decls.size() == currentDecl) {
        BooleanValue formulaCircuit = formula.accept(this);
        BooleanValue finalCircuit = factory.or(declConstraints, formulaCircuit);
        acc.add(finalCircuit);
        return;
    }
    final Decl decl = decls.get(currentDecl);
    final BooleanMatrix declTransl = visit(decl);
    final BooleanMatrix groundValue = factory.matrix(declTransl.dimensions());
    env = env.extend(decl.variable(), decl.expression(), groundValue, Quantifier.ALL);
    for (IndexedEntry<BooleanValue> entry : declTransl) {
        groundValue.set(entry.index(), BooleanConstant.TRUE);
        all(decls, formula, currentDecl + 1, factory.or(factory.not(entry.value()), declConstraints), acc);
        groundValue.set(entry.index(), BooleanConstant.FALSE);
    }
    env = env.parent();
}