Examples with Relation kodkod.ast.Relation used on opensource projects

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Example 66 with Relation

use of kodkod.ast.Relation in project org.alloytools.alloy by AlloyTools.

the class BugTests method testEmina_01232006.

public final void testEmina_01232006() {
    final List<String> atoms = new ArrayList<String>(5);
    for (int i = 0; i < 5; i++) atoms.add("a" + i);
    final Universe u = new Universe(atoms);
    final TupleFactory tf = u.factory();
    final Relation r1 = Relation.unary("r1"), r2 = Relation.binary("r2"), r3 = Relation.ternary("r3");
    final Bounds b = new Bounds(u);
    final TupleSet r2Bound = tf.noneOf(2);
    for (int i = 0; i < 4; i++) r2Bound.add(tf.tuple(atoms.get(i), atoms.get(i)));
    r2Bound.add(tf.tuple("a4", "a1"));
    r2Bound.add(tf.tuple("a4", "a2"));
    b.bound(r2, r2Bound);
    b.bound(r1, tf.setOf("a0", "a3"), tf.setOf("a0", "a3", "a4"));
    b.bound(r3, tf.setOf(tf.tuple("a0", "a0", "a0"), tf.tuple("a3", "a3", "a3")));
    final Formula f = r1.product(r2).in(r3);
    final Instance instance = solver.solve(f, b).instance();
    assertTrue((new Evaluator(instance)).evaluate(f));
// System.out.println(instance);
// System.out.println((new Evaluator(instance)).evaluate(f ));
}
Also used : TupleSet(kodkod.instance.TupleSet) Formula(kodkod.ast.Formula) Relation(kodkod.ast.Relation) Instance(kodkod.instance.Instance) Bounds(kodkod.instance.Bounds) ArrayList(java.util.ArrayList) TupleFactory(kodkod.instance.TupleFactory) Universe(kodkod.instance.Universe) Evaluator(kodkod.engine.Evaluator)

Example 67 with Relation

use of kodkod.ast.Relation in project org.alloytools.alloy by AlloyTools.

the class BugTests method testFelix_02212008.

public final void testFelix_02212008() {
    Relation x0 = Relation.unary("Int/min");
    Relation x1 = Relation.unary("Int/zero");
    Relation x2 = Relation.unary("Int/max");
    Relation x3 = Relation.nary("Int/next", 2);
    Relation x4 = Relation.unary("seq/Int");
    List<String> atomlist = Arrays.asList("-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "0", "1", "2", "3", "4", "5", "6", "7");
    Universe universe = new Universe(atomlist);
    TupleFactory factory = universe.factory();
    Bounds bounds = new Bounds(universe);
    TupleSet x0_upper = factory.noneOf(1);
    x0_upper.add(factory.tuple("-8"));
    bounds.boundExactly(x0, x0_upper);
    TupleSet x1_upper = factory.noneOf(1);
    x1_upper.add(factory.tuple("0"));
    bounds.boundExactly(x1, x1_upper);
    TupleSet x2_upper = factory.noneOf(1);
    x2_upper.add(factory.tuple("7"));
    bounds.boundExactly(x2, x2_upper);
    TupleSet x3_upper = factory.noneOf(2);
    x3_upper.add(factory.tuple("-8").product(factory.tuple("-7")));
    x3_upper.add(factory.tuple("-7").product(factory.tuple("-6")));
    x3_upper.add(factory.tuple("-6").product(factory.tuple("-5")));
    x3_upper.add(factory.tuple("-5").product(factory.tuple("-4")));
    x3_upper.add(factory.tuple("-4").product(factory.tuple("-3")));
    x3_upper.add(factory.tuple("-3").product(factory.tuple("-2")));
    x3_upper.add(factory.tuple("-2").product(factory.tuple("-1")));
    x3_upper.add(factory.tuple("-1").product(factory.tuple("0")));
    x3_upper.add(factory.tuple("0").product(factory.tuple("1")));
    x3_upper.add(factory.tuple("1").product(factory.tuple("2")));
    x3_upper.add(factory.tuple("2").product(factory.tuple("3")));
    x3_upper.add(factory.tuple("3").product(factory.tuple("4")));
    x3_upper.add(factory.tuple("4").product(factory.tuple("5")));
    x3_upper.add(factory.tuple("5").product(factory.tuple("6")));
    x3_upper.add(factory.tuple("6").product(factory.tuple("7")));
    bounds.boundExactly(x3, x3_upper);
    TupleSet x4_upper = factory.noneOf(1);
    x4_upper.add(factory.tuple("0"));
    x4_upper.add(factory.tuple("1"));
    x4_upper.add(factory.tuple("2"));
    x4_upper.add(factory.tuple("3"));
    bounds.boundExactly(x4, x4_upper);
    bounds.boundExactly(-8, factory.range(factory.tuple("-8"), factory.tuple("-8")));
    bounds.boundExactly(-7, factory.range(factory.tuple("-7"), factory.tuple("-7")));
    bounds.boundExactly(-6, factory.range(factory.tuple("-6"), factory.tuple("-6")));
    bounds.boundExactly(-5, factory.range(factory.tuple("-5"), factory.tuple("-5")));
    bounds.boundExactly(-4, factory.range(factory.tuple("-4"), factory.tuple("-4")));
    bounds.boundExactly(-3, factory.range(factory.tuple("-3"), factory.tuple("-3")));
    bounds.boundExactly(-2, factory.range(factory.tuple("-2"), factory.tuple("-2")));
    bounds.boundExactly(-1, factory.range(factory.tuple("-1"), factory.tuple("-1")));
    bounds.boundExactly(0, factory.range(factory.tuple("0"), factory.tuple("0")));
    bounds.boundExactly(1, factory.range(factory.tuple("1"), factory.tuple("1")));
    bounds.boundExactly(2, factory.range(factory.tuple("2"), factory.tuple("2")));
    bounds.boundExactly(3, factory.range(factory.tuple("3"), factory.tuple("3")));
    bounds.boundExactly(4, factory.range(factory.tuple("4"), factory.tuple("4")));
    bounds.boundExactly(5, factory.range(factory.tuple("5"), factory.tuple("5")));
    bounds.boundExactly(6, factory.range(factory.tuple("6"), factory.tuple("6")));
    bounds.boundExactly(7, factory.range(factory.tuple("7"), factory.tuple("7")));
    Variable x9 = Variable.nary("isTree_r", 2);
    Expression x10 = Expression.INTS.product(Expression.INTS);
    Decls x8 = x9.setOf(x10);
    Expression x15 = Expression.INTS.product(Expression.INTS);
    Formula x14 = x9.in(x15);
    Formula x13 = x14.and(Formula.TRUE);
    Formula x12 = x13.and(Formula.TRUE);
    Formula x7 = x12.forSome(x8);
    Formula x19 = x0.eq(x0);
    Formula x20 = x2.eq(x2);
    Formula x18 = x19.and(x20);
    Formula x21 = x3.eq(x3);
    Formula x17 = x18.and(x21);
    Formula x6 = x7.and(x17);
    Formula x23 = x1.eq(x1);
    Formula x24 = x4.eq(x4);
    Formula x22 = x23.and(x24);
    Formula x5 = x6.and(x22);
    Solver solver = new Solver();
    solver.options().setSolver(SATFactory.DefaultSAT4J);
    solver.options().setBitwidth(4);
    solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
    solver.options().setSymmetryBreaking(20);
    solver.options().setSkolemDepth(0);
    Iterator<Solution> sols = solver.solveAll(x5, bounds);
    assertTrue(sols.hasNext());
    Solution a = sols.next();
    assertEquals(Solution.Outcome.TRIVIALLY_SATISFIABLE, a.outcome());
    assertTrue(sols.hasNext());
    a = sols.next();
    assertEquals(Solution.Outcome.SATISFIABLE, a.outcome());
}
Also used : TupleSet(kodkod.instance.TupleSet) Solver(kodkod.engine.Solver) Variable(kodkod.ast.Variable) Decls(kodkod.ast.Decls) Bounds(kodkod.instance.Bounds) TupleFactory(kodkod.instance.TupleFactory) Universe(kodkod.instance.Universe) Formula(kodkod.ast.Formula) Relation(kodkod.ast.Relation) IntExpression(kodkod.ast.IntExpression) Expression(kodkod.ast.Expression) Solution(kodkod.engine.Solution)

Example 68 with Relation

use of kodkod.ast.Relation in project org.alloytools.alloy by AlloyTools.

the class BugTests method testFelix_11122006.

public final void testFelix_11122006() {
    Relation x0 = Relation.nary("Q", 1);
    Relation x1 = Relation.nary("B", 1);
    Relation x2 = Relation.nary("A", 1);
    Relation x3 = Relation.nary("QQ", 3);
    List<String> atomlist = Arrays.asList("A", "B", "Q");
    Universe universe = new Universe(atomlist);
    TupleFactory factory = universe.factory();
    Bounds bounds = new Bounds(universe);
    TupleSet x0_upper = factory.noneOf(1);
    x0_upper.add(factory.tuple("Q"));
    bounds.boundExactly(x0, x0_upper);
    TupleSet x1_upper = factory.noneOf(1);
    x1_upper.add(factory.tuple("B"));
    bounds.boundExactly(x1, x1_upper);
    TupleSet x2_upper = factory.noneOf(1);
    x2_upper.add(factory.tuple("A"));
    bounds.boundExactly(x2, x2_upper);
    TupleSet x3_upper = factory.noneOf(3);
    x3_upper.add(factory.tuple("Q").product(factory.tuple("A")).product(factory.tuple("A")));
    x3_upper.add(factory.tuple("Q").product(factory.tuple("B")).product(factory.tuple("B")));
    bounds.bound(x3, x3_upper);
    Expression x7 = x2.product(x2);
    Expression x8 = x0.join(x3);
    Formula x6 = x7.in(x8);
    Formula x5 = x6.not();
    Expression x18 = x1.product(x1);
    Expression x17 = x7.union(x18);
    Expression x16 = x0.product(x17);
    Formula x15 = x3.in(x16);
    Formula x4 = x5.and(x15);
    Solver solver = new Solver();
    solver.options().setSolver(SATFactory.DefaultSAT4J);
    solver.options().setBitwidth(4);
    solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
    // System.out.println(bounds);
    // System.out.println(x4);
    Solution sol = solver.solve(x4, bounds);
    assertEquals(sol.outcome(), Solution.Outcome.SATISFIABLE);
// System.out.println(sol.toString());
}
Also used : TupleSet(kodkod.instance.TupleSet) Formula(kodkod.ast.Formula) Relation(kodkod.ast.Relation) Solver(kodkod.engine.Solver) IntExpression(kodkod.ast.IntExpression) Expression(kodkod.ast.Expression) Bounds(kodkod.instance.Bounds) TupleFactory(kodkod.instance.TupleFactory) Universe(kodkod.instance.Universe) Solution(kodkod.engine.Solution)

Example 69 with Relation

use of kodkod.ast.Relation in project org.alloytools.alloy by AlloyTools.

the class BugTests method testVincent_02172006.

public final void testVincent_02172006() {
    // set ups universe of atoms [1..257]
    final List<Integer> atoms = new ArrayList<Integer>();
    // change this to 256, and the program works
    for (int i = 0; i < 257; i++) {
        atoms.add(i + 1);
    }
    final Universe universe = new Universe(atoms);
    final Bounds bounds = new Bounds(universe);
    final TupleFactory factory = universe.factory();
    final Relation oneRel = Relation.unary("oneRel");
    final Relation pCourses = Relation.binary("pCourses");
    final Relation prev = Relation.binary("prev");
    final Relation sCourses = Relation.binary("sCourses");
    final Relation prereqs = Relation.binary("prereqs");
    final Relation rel = Relation.unary("rel");
    bounds.bound(oneRel, factory.setOf(factory.tuple(atoms.get(0))), factory.setOf(factory.tuple(atoms.get(0))));
    bounds.bound(rel, factory.allOf(1));
    // list1 and list2 are temp lists for creating bounds for binary
    // relations below
    // list1 = [1, 2]
    // list2 = [3, 2]
    // ts = [ [1, 2], [2, 2], [3, 2] ]
    List<Integer> list1 = new ArrayList<Integer>();
    list1.add(atoms.get(0));
    list1.add(atoms.get(1));
    List<Integer> list2 = new ArrayList<Integer>();
    list2.add(atoms.get(2));
    list2.add(atoms.get(1));
    TupleSet ts = factory.area(factory.tuple(list1), factory.tuple(list2));
    bounds.bound(pCourses, ts);
    bounds.bound(prev, ts);
    bounds.bound(sCourses, ts);
    bounds.bound(prereqs, ts);
    // all s: futureSemesters | all c: s.courses | no c.prereqs or some p:
    // c.prereqs | p.courses in s.prev^.courses
    final Variable s = Variable.unary("s"), c = Variable.unary("c"), p = Variable.unary("p");
    Formula formula = (p.join(pCourses).in(s.join(prev.closure()).join(sCourses)).forAll(p.oneOf(c.join(prereqs)))).forAll(c.oneOf(s.join(sCourses))).forAll(s.oneOf(rel));
    // System.out.println(formula);
    // solve
    final Instance instance = solver.solve(formula, bounds).instance();
    assertNotNull(instance);
}
Also used : TupleSet(kodkod.instance.TupleSet) Formula(kodkod.ast.Formula) Relation(kodkod.ast.Relation) Variable(kodkod.ast.Variable) Instance(kodkod.instance.Instance) Bounds(kodkod.instance.Bounds) ArrayList(java.util.ArrayList) TupleFactory(kodkod.instance.TupleFactory) Universe(kodkod.instance.Universe)

Example 70 with Relation

use of kodkod.ast.Relation in project org.alloytools.alloy by AlloyTools.

the class BugTests method testFelix_03062008.

public final void testFelix_03062008() {
    Relation x0 = Relation.unary("Int/min");
    Relation x1 = Relation.unary("Int/zero");
    Relation x2 = Relation.unary("Int/max");
    Relation x3 = Relation.nary("Int/next", 2);
    Relation x4 = Relation.unary("seq/Int");
    List<String> atomlist = Arrays.asList("-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "0", "1", "2", "3", "4", "5", "6", "7");
    Universe universe = new Universe(atomlist);
    TupleFactory factory = universe.factory();
    Bounds bounds = new Bounds(universe);
    TupleSet x0_upper = factory.noneOf(1);
    x0_upper.add(factory.tuple("-8"));
    bounds.boundExactly(x0, x0_upper);
    TupleSet x1_upper = factory.noneOf(1);
    x1_upper.add(factory.tuple("0"));
    bounds.boundExactly(x1, x1_upper);
    TupleSet x2_upper = factory.noneOf(1);
    x2_upper.add(factory.tuple("7"));
    bounds.boundExactly(x2, x2_upper);
    TupleSet x3_upper = factory.noneOf(2);
    x3_upper.add(factory.tuple("-8").product(factory.tuple("-7")));
    x3_upper.add(factory.tuple("-7").product(factory.tuple("-6")));
    x3_upper.add(factory.tuple("-6").product(factory.tuple("-5")));
    x3_upper.add(factory.tuple("-5").product(factory.tuple("-4")));
    x3_upper.add(factory.tuple("-4").product(factory.tuple("-3")));
    x3_upper.add(factory.tuple("-3").product(factory.tuple("-2")));
    x3_upper.add(factory.tuple("-2").product(factory.tuple("-1")));
    x3_upper.add(factory.tuple("-1").product(factory.tuple("0")));
    x3_upper.add(factory.tuple("0").product(factory.tuple("1")));
    x3_upper.add(factory.tuple("1").product(factory.tuple("2")));
    x3_upper.add(factory.tuple("2").product(factory.tuple("3")));
    x3_upper.add(factory.tuple("3").product(factory.tuple("4")));
    x3_upper.add(factory.tuple("4").product(factory.tuple("5")));
    x3_upper.add(factory.tuple("5").product(factory.tuple("6")));
    x3_upper.add(factory.tuple("6").product(factory.tuple("7")));
    bounds.boundExactly(x3, x3_upper);
    TupleSet x4_upper = factory.noneOf(1);
    x4_upper.add(factory.tuple("0"));
    bounds.boundExactly(x4, x4_upper);
    bounds.boundExactly(-8, factory.range(factory.tuple("-8"), factory.tuple("-8")));
    bounds.boundExactly(-7, factory.range(factory.tuple("-7"), factory.tuple("-7")));
    bounds.boundExactly(-6, factory.range(factory.tuple("-6"), factory.tuple("-6")));
    bounds.boundExactly(-5, factory.range(factory.tuple("-5"), factory.tuple("-5")));
    bounds.boundExactly(-4, factory.range(factory.tuple("-4"), factory.tuple("-4")));
    bounds.boundExactly(-3, factory.range(factory.tuple("-3"), factory.tuple("-3")));
    bounds.boundExactly(-2, factory.range(factory.tuple("-2"), factory.tuple("-2")));
    bounds.boundExactly(-1, factory.range(factory.tuple("-1"), factory.tuple("-1")));
    bounds.boundExactly(0, factory.range(factory.tuple("0"), factory.tuple("0")));
    bounds.boundExactly(1, factory.range(factory.tuple("1"), factory.tuple("1")));
    bounds.boundExactly(2, factory.range(factory.tuple("2"), factory.tuple("2")));
    bounds.boundExactly(3, factory.range(factory.tuple("3"), factory.tuple("3")));
    bounds.boundExactly(4, factory.range(factory.tuple("4"), factory.tuple("4")));
    bounds.boundExactly(5, factory.range(factory.tuple("5"), factory.tuple("5")));
    bounds.boundExactly(6, factory.range(factory.tuple("6"), factory.tuple("6")));
    bounds.boundExactly(7, factory.range(factory.tuple("7"), factory.tuple("7")));
    Variable x9 = Variable.unary("x");
    Decls x8 = x9.oneOf(Expression.INTS);
    Variable x14 = Variable.unary("p_t'");
    Expression x15 = Expression.INTS.difference(x9);
    Decls x13 = x14.oneOf(x15);
    Variable x20 = Variable.unary("p_v");
    Decls x19 = x20.oneOf(Expression.INTS);
    Formula x21 = x14.in(x9);
    Expression x18 = x21.comprehension(x19);
    IntExpression x17 = x18.count();
    IntExpression x22 = IntConstant.constant(0);
    Formula x16 = x17.gt(x22);
    Formula x12 = x16.forAll(x13);
    Formula x11 = x12.not();
    Formula x7 = x11.forAll(x8);
    Formula x25 = x0.eq(x0);
    Formula x26 = x2.eq(x2);
    Formula x24 = x25.and(x26);
    Formula x27 = x3.eq(x3);
    Formula x23 = x24.and(x27);
    Formula x6 = x7.and(x23);
    Formula x29 = x1.eq(x1);
    Formula x30 = x4.eq(x4);
    Formula x28 = x29.and(x30);
    Formula x5 = x6.and(x28);
    Solver solver = new Solver();
    solver.options().setSolver(SATFactory.DefaultSAT4J);
    solver.options().setBitwidth(4);
    // solver.options().setFlatten(false);
    solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
    solver.options().setSymmetryBreaking(20);
    // System.out.println(PrettyPrinter.print(x5, 2));
    solver.options().setSkolemDepth(0);
    Solution sol1 = solver.solve(x5, bounds);
    assertNotNull(sol1.instance());
    solver.options().setSkolemDepth(1);
    Solution sol2 = solver.solve(x5, bounds);
    assertNotNull(sol2.instance());
}
Also used : TupleSet(kodkod.instance.TupleSet) Solver(kodkod.engine.Solver) Variable(kodkod.ast.Variable) Decls(kodkod.ast.Decls) Bounds(kodkod.instance.Bounds) IntExpression(kodkod.ast.IntExpression) TupleFactory(kodkod.instance.TupleFactory) Universe(kodkod.instance.Universe) Formula(kodkod.ast.Formula) Relation(kodkod.ast.Relation) IntExpression(kodkod.ast.IntExpression) Expression(kodkod.ast.Expression) Solution(kodkod.engine.Solution)

Aggregations

Relation (kodkod.ast.Relation)87 Bounds (kodkod.instance.Bounds)49 Formula (kodkod.ast.Formula)45 TupleFactory (kodkod.instance.TupleFactory)45 Universe (kodkod.instance.Universe)45 TupleSet (kodkod.instance.TupleSet)43 Solution (kodkod.engine.Solution)30 Expression (kodkod.ast.Expression)26 IntExpression (kodkod.ast.IntExpression)24 Solver (kodkod.engine.Solver)24 ArrayList (java.util.ArrayList)23 Variable (kodkod.ast.Variable)23 Instance (kodkod.instance.Instance)15 Decls (kodkod.ast.Decls)13 Evaluator (kodkod.engine.Evaluator)9 Tuple (kodkod.instance.Tuple)8 IntSet (kodkod.util.ints.IntSet)7 BinaryExpression (kodkod.ast.BinaryExpression)6 Decl (kodkod.ast.Decl)6 LinkedHashSet (java.util.LinkedHashSet)4
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