@Test(groups = "10s", timeOut = 60000)
public void test1() {
boolean bounded; // true if domains are bounded, false if they are enumerated
Random rand = new Random(0);
for (int k = 0; k < 20000; k++) {
long seed = System.currentTimeMillis();
rand.setSeed(seed);
bounded = rand.nextBoolean();
int size = 5; // domain size
int range = 15; // value range
int[][] domains;
if (bounded) {
domains = DomainBuilder.buildFullDomains(3, size, range, rand);
} else {
domains =
DomainBuilder.buildFullDomains2(
3, size, range, rand, rand.nextDouble(), rand.nextBoolean());
}
// total number of solutions: brut force algorithm
long base = brutForceTest(domains, bounded);
Model s = modeler(domains, bounded, seed);
// SearchMonitorFactory.log(s, false, false);
try {
while (s.getSolver().solve()) ;
} catch (AssertionError ae) {
System.err.printf("seed: %d\n", seed);
throw ae;
}
long cp = s.getSolver().getSolutionCount();
Assert.assertEquals(
cp, base, "found: " + cp + " solutions, while " + base + " are expected (" + seed + ")");
}
}
@Test(groups = "1s", timeOut = 60000)
public void testNominal() {
Model model = new Model();
SetVar[] vars = model.setVarArray(5, new int[] {}, new int[] {1, 2, 3, 4});
model.symmetric(vars).post();
}
@Input(solutions = 513)
public Object testSubstring(Model model) {
return $(
model.intVarArray("substring", 2, -1, 1),
model.intVar("substringLength", 0, 2),
model.intVar("index", 0, 2),
model.intVarArray("supstring", 4, -1, 1));
}
@Test(groups = "1s", timeOut = 60000)
public void test11() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
LogOp l = LogOp.or(LogOp.and(a, b.not()), LogOp.and(a.not(), b), LogOp.and(a.not(), b.not()));
ILogical ll = LogicTreeToolBox.toCNF(l, model);
Assert.assertEquals(ll.toString(), "(not(b) or not(a))");
}
@Test(groups = "1s", timeOut = 60000)
public void test14() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
LogOp l = LogOp.or(a, b, a.not(), a.not());
ILogical ll = LogicTreeToolBox.toCNF(l, model);
Assert.assertEquals(ll.toString(), "cste -- 1 = 1");
}
@Test
public void test2() {
Model s = new Model();
IntVar a = s.intVar("a", 0, 32, true);
IntVar b = s.intVar("b", 0, 48, true);
double q = 1.5;
s.post(new RoundedUpDivision(a, b, q));
Assert.assertEquals(s.getSolver().findAllSolutions().size(), 49);
// Assert.assertEquals(s.getNbSolutions(), 33);
}
@Test(groups = "1s", timeOut = 60000)
public void testTrue() {
Model model = new Model();
int var = 10;
SetVar setVar = model.setVar(new int[] {10}, new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10});
model.member(var, setVar).post();
assertEquals(model.getSolver().isSatisfied(), ESat.TRUE);
checkSolutions(model, setVar, var);
}
@Test(groups = "1s", timeOut = 60000)
public void testNominal() {
Model model = new Model();
IntVar var = model.intVar(10);
SetVar setVar = model.setVar(new int[] {}, new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10});
model.member(var, setVar).post();
assertEquals(model.getSolver().isSatisfied(), ESat.UNDEFINED);
checkSolutions(model, setVar, var.getValue());
}
@Test(groups = "1s", timeOut = 60000)
public void test3() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
LogOp root = LogOp.or(LogOp.and(a, b), c);
root = LogicTreeToolBox.developOr(root);
Assert.assertEquals(root.toString(), "((a or c) and (b or c))");
}
@Test(groups = "1s", timeOut = 60000)
public void test6() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
LogOp root = LogOp.implies(a, b);
ILogical l = LogicTreeToolBox.toCNF(root, model);
Assert.assertEquals(l.toString(), "(b or not(a))");
}
@Test(groups = "1s", timeOut = 60000)
public void testHeadOnly() {
Model model = new Model();
SetVar[] vars = model.setVarArray(5, new int[] {}, new int[] {0, 1});
model.symmetric(vars).post();
int nbSol = checkSolutions(model, vars);
// The number of results must be the same as a 2-sized array
model = new Model();
vars = model.setVarArray(2, new int[] {}, new int[] {0, 1});
model.symmetric(vars).post();
assertEquals(nbSol, checkSolutions(model, vars));
}
@Test(groups = "1s", timeOut = 60000)
public void test7() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
LogOp root = LogOp.ifThenElse(a, b, c);
ILogical l = LogicTreeToolBox.toCNF(root, model);
Assert.assertEquals(l.toString(), "((a or c) and (b or c) and (b or not(a)))");
}
public Model modeler(int[][] domains, boolean bounded, long seed) {
Model s = new Model();
IntVar[] vars = new IntVar[3];
for (int i = 0; i < 3; i++) {
if (bounded) {
vars[i] = s.intVar("x_" + i, domains[i][0], domains[i][1], true);
} else {
vars[i] = s.intVar("x_" + i, domains[i]);
}
}
Constraint div = make(vars, s);
div.post();
s.getSolver().setSearch(randomSearch(vars, seed));
return s;
}
@Test(groups = "1s", timeOut = 60000)
public void test4() {
Model model = new Model();
BoolVar a = model.boolVar("a").not();
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
BoolVar d = model.boolVar("d");
LogOp root = LogOp.nor(LogOp.or(LogOp.nand(a, b), c), d);
LogicTreeToolBox.expandNot(root);
Assert.assertEquals(root.toString(), "(((not(a) and b) and not(c)) and not(d))");
}
@Test(groups = "1s", timeOut = 60000)
public void test1() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
BoolVar d = model.boolVar("d");
LogOp root = LogOp.nand(LogOp.nor(a, b), LogOp.or(c, d));
ILogical l = LogicTreeToolBox.toCNF(root, model);
Assert.assertEquals(l.toString(), "((a or b or not(c)) and (a or b or not(d)))");
}
@Test(groups = "1s", timeOut = 60000)
public void test2() {
Model model = new Model();
BoolVar a = model.boolVar("a").not();
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
BoolVar d = model.boolVar("d");
LogOp root = LogOp.or(LogOp.or(LogOp.or(a, b), c), d);
LogicTreeToolBox.merge(LogOp.Operator.OR, root);
Assert.assertEquals(root.toString(), "(d or c or not(a) or b)");
}
@Test(groups = "1s", timeOut = 60000)
public void test9() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar na = a.not();
BoolVar b = model.boolVar("b");
BoolVar c = model.boolVar("c");
BoolVar d = model.boolVar("d");
LogOp root = LogOp.and(a, b, na, c, d);
ILogical l = LogicTreeToolBox.toCNF(root, model);
Assert.assertEquals(l.toString(), "cste -- 0 = 0");
}
@Test(groups = "1s", timeOut = 60000)
public void test8() {
Model model = new Model();
BoolVar a = model.boolVar("a");
BoolVar na = a.not();
BoolVar b = model.boolVar("b");
BoolVar nb = b.not();
BoolVar c = model.boolVar("c");
BoolVar d = model.boolVar("d");
LogOp root = LogOp.and(LogOp.or(a, b, na), LogOp.or(c, d), LogOp.or(b, nb));
ILogical l = LogicTreeToolBox.toCNF(root, model);
Assert.assertEquals(l.toString(), "(c or d)");
}
private int checkSolutions(Model model, SetVar set, int value) {
int nbSol = 0;
while (model.getSolver().solve()) {
nbSol++;
assertTrue(set.getValue().contains(value));
}
assertTrue(nbSol > 0);
return nbSol;
}
private int checkSolutions(Model model, SetVar[] vars) {
int nbSol = 0;
while (model.getSolver().solve()) {
nbSol++;
for (int i = 0; i < vars.length; i++) {
for (Integer value : vars[i].getValue()) {
assertTrue(vars[value].getValue().contains(i));
}
}
}
assertTrue(nbSol > 0);
return nbSol;
}
@Override
public IntVar intVar() {
if (me == null) {
IntVar v = e.intVar();
switch (op) {
case NEG:
me = model.intMinusView(v);
break;
case ABS:
me = model.intAbsView(v);
break;
case SQR:
int[] bounds = VariableUtils.boundsForMultiplication(v, v);
me = model.intVar(model.generateName("sqr_exp_"), bounds[0], bounds[1]);
model.times(v, v, me).post();
break;
default:
throw new UnsupportedOperationException(
"Unary arithmetic expressions does not support " + op.name());
}
}
return me;
}
@Test(groups = "1s", timeOut = 60000)
public void testFalse() {
Model model = new Model();
IntVar var = model.intVar(12);
SetVar setVar = model.setVar(new int[] {10}, new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10});
model.member(var, setVar).post();
assertEquals(model.getSolver().isSatisfied(), ESat.FALSE);
assertFalse(model.getSolver().solve());
}
@Test(groups = "1s", timeOut = 60000)
public void test17() {
Model model = new Model();
IntVar a = model.intVar("a", -1, 1, false);
BoolVar b1 = model.boolVar("b1");
BoolVar b2 = model.boolVar("b2");
model.arithm(a, "=", 0).reifyWith(b1);
model.arithm(a, ">", 0).reifyWith(b2);
model.addClauses(new BoolVar[0], new BoolVar[] {b1, b2});
model.getMinisat().getPropSat().initialize();
try {
model.getSolver().propagate();
b1.instantiateTo(1, Cause.Null);
model.getSolver().propagate();
} catch (ContradictionException ex) {
Assert.fail();
}
Assert.assertTrue(b1.isInstantiatedTo(1));
Assert.assertTrue(b2.isInstantiatedTo(0));
Assert.assertTrue(a.isInstantiatedTo(0));
}
@Override
protected Constraint make(IntVar[] vars, Model model) {
return model.max(vars[0], vars[1], vars[2]);
}
@Test(groups = "1s", timeOut = 60000)
public void test10() {
Model model = new Model();
BoolVar[] rows = model.boolVarArray("b", 3);
model.ifThen(rows[0], model.arithm(rows[1], "+", rows[2], "=", 2));
model.ifThen(rows[0].not(), model.arithm(rows[1], "+", rows[2], "<=", 1));
// SearchMonitorFactory.log(solver, true, true);
while (model.getSolver().solve()) ;
long nbSol = model.getSolver().getSolutionCount();
for (int seed = 0; seed < 2000; seed++) {
Model sCNF = new Model();
BoolVar[] rCNF = sCNF.boolVarArray("b", 3);
LogOp tree = ifOnlyIf(rCNF[0], and(rCNF[1], rCNF[2]));
sCNF.addClauses(tree);
sCNF.getSolver().setSearch(randomSearch(rCNF, seed));
// SearchMonitorFactory.log(sCNF, true, true);
while (sCNF.getSolver().solve()) ;
assertEquals(sCNF.getSolver().getSolutionCount(), nbSol);
}
}
/**
* Creates a default search strategy for the given model. This heuristic is complete (handles
* IntVar, BoolVar, SetVar and RealVar)
*
* @param model a model requiring a default search strategy
*/
public static AbstractStrategy defaultSearch(Model model) {
Solver r = model.getSolver();
// 1. retrieve variables, keeping the declaration order, and put them in four groups:
List<IntVar> livars = new ArrayList<>(); // integer and boolean variables
List<SetVar> lsvars = new ArrayList<>(); // set variables
List<RealVar> lrvars = new ArrayList<>(); // real variables.
Variable[] variables = model.getVars();
Variable objective = null;
for (Variable var : variables) {
int type = var.getTypeAndKind();
if ((type & Variable.CSTE) == 0) {
int kind = type & Variable.KIND;
switch (kind) {
case Variable.BOOL:
case Variable.INT:
livars.add((IntVar) var);
break;
case Variable.SET:
lsvars.add((SetVar) var);
break;
case Variable.REAL:
lrvars.add((RealVar) var);
break;
default:
break; // do not throw exception to allow ad hoc variable kinds
}
}
}
// 2. extract the objective variable if any (to avoid branching on it)
if (r.getObjectiveManager().isOptimization()) {
objective = r.getObjectiveManager().getObjective();
if ((objective.getTypeAndKind() & Variable.REAL) != 0) {
lrvars.remove(objective); // real var objective
} else {
assert (objective.getTypeAndKind() & Variable.INT) != 0;
livars.remove(objective); // bool/int var objective
}
}
// 3. Creates a default search strategy for each variable kind
ArrayList<AbstractStrategy> strats = new ArrayList<>();
if (livars.size() > 0) {
strats.add(intVarSearch(livars.toArray(new IntVar[livars.size()])));
}
if (lsvars.size() > 0) {
strats.add(setVarSearch(lsvars.toArray(new SetVar[lsvars.size()])));
}
if (lrvars.size() > 0) {
strats.add(realVarSearch(lrvars.toArray(new RealVar[lrvars.size()])));
}
// 4. lexico LB/UB branching for the objective variable
if (objective != null) {
boolean max = r.getObjectiveManager().getPolicy() == ResolutionPolicy.MAXIMIZE;
if ((objective.getTypeAndKind() & Variable.REAL) != 0) {
strats.add(
realVarSearch(
new Cyclic<>(),
max ? new RealDomainMax() : new RealDomainMin(),
(RealVar) objective));
} else {
strats.add(max ? minDomUBSearch((IntVar) objective) : minDomLBSearch((IntVar) objective));
}
}
// 5. avoid null pointers in case all variables are instantiated
if (strats.isEmpty()) {
strats.add(minDomLBSearch(model.boolVar(true)));
}
// 6. add last conflict
return lastConflict(sequencer(strats.toArray(new AbstractStrategy[strats.size()])));
}
/**
* Make a new model.
*
* @param p the RP to use as a basis.
* @param e the VM managed by the action
* @throws org.btrplace.scheduler.SchedulerException if an error occurred
*/
public RelocatableVM(ReconfigurationProblem p, VM e) throws SchedulerException {
// Get vars
vm = e;
rp = p;
src = rp.getSourceModel().getMapping().getVMLocation(e);
org.chocosolver.solver.Model csp = rp.getModel();
Model mo = rp.getSourceModel();
// Default values
start = rp.getStart();
end = rp.getStart();
duration = csp.intVar(0);
state = csp.boolVar(true);
// If not manageable, the VM stays on the current host
if (!p.getManageableVMs().contains(e)) {
stay = csp.boolVar(true);
doReinstantiation = csp.boolVar(false);
manageable = false;
IntVar host = rp.makeCurrentHost(vm, PREFIX_STAY, vm, ").host");
cSlice =
new SliceBuilder(rp, vm, PREFIX_STAY, vm.toString(), ").cSlice")
.setHoster(host)
.setEnd(rp.makeUnboundedDuration(PREFIX_STAY, vm, ").cSlice_end"))
.build();
dSlice =
new SliceBuilder(rp, vm, PREFIX_STAY, vm, ").dSlice")
.setHoster(host)
.setStart(cSlice.getEnd())
.build();
return;
}
// The VM can move (to re-instantiate or migrate) OR STAY to the same host
stay = csp.boolVar(rp.makeVarLabel(vm, "stay"));
cSlice =
new SliceBuilder(rp, vm, PREFIX, vm, ").cSlice")
.setHoster(rp.getNode(rp.getSourceModel().getMapping().getVMLocation(vm)))
.setEnd(rp.makeUnboundedDuration(PREFIX, vm, ").cSlice_end"))
.build();
dSlice =
new SliceBuilder(rp, vm, PREFIX, vm, ").dSlice")
.setStart(rp.makeUnboundedDuration(PREFIX, vm, ").dSlice_start"))
.build();
// Update start and end vars of the action
start = dSlice.getStart();
end = cSlice.getEnd();
csp.post(new Arithmetic(end, Operator.LE, rp.getEnd()));
// Get some static durations from evaluators
DurationEvaluators dev = rp.getDurationEvaluators();
int migrateDuration = dev.evaluate(rp.getSourceModel(), MigrateVM.class, vm);
int bootDuration = dev.evaluate(rp.getSourceModel(), org.btrplace.plan.event.BootVM.class, vm);
int forgeD =
p.getDurationEvaluators()
.evaluate(p.getSourceModel(), org.btrplace.plan.event.ForgeVM.class, vm);
// Compute the re-instantiation duration
int reInstantiateDuration = bootDuration + forgeD;
reInstantiateDuration = forgeD; // Compliant with CMaxOnlineTest and others
// Get the networking view if attached
Network network = Network.get(mo);
IntVar migrationDuration;
if (network != null) {
// Set the migration algorithm
postCopy = mo.getAttributes().get(vm, "postCopy", false);
// Create unbounded/large domain vars for migration duration and bandwidth
migrationDuration = p.makeUnboundedDuration("migration(", vm, ").duration");
bandwidth = csp.intVar(PREFIX + vm + ").bandwidth", 0, Integer.MAX_VALUE / 100, true);
}
// No networking view, set the duration from the evaluator
else {
// The duration can still be 0 => the VM STAY !
migrationDuration =
csp.intVar(
rp.makeVarLabel("migration(", vm, ").duration"), new int[] {0, migrateDuration});
bandwidth = null;
}
// Possibly re-instantiate (if some attributes are defined)
if (mo.getAttributes().get(vm, "clone", false) && mo.getAttributes().isSet(vm, "template")) {
doReinstantiation = csp.boolVar(rp.makeVarLabel("relocation_method(", vm, ")"));
duration =
csp.intVar(
rp.makeVarLabel(PREFIX, vm, ").duration"),
Math.min(migrationDuration.getLB(), reInstantiateDuration),
Math.max(migrationDuration.getUB(), reInstantiateDuration),
true);
// Re-instantiate or migrate
// (Prefer the re-instantiation if the duration are the same, otherwise choose the min)
rp.getModel()
.ifThenElse(
rp.getModel()
.or(
new Arithmetic(
doReinstantiation, Operator.EQ, 0), // can be instantiated externally !
new Arithmetic(migrationDuration, Operator.LT, reInstantiateDuration)),
new Arithmetic(duration, Operator.EQ, migrationDuration),
new Arithmetic(duration, Operator.EQ, reInstantiateDuration));
// If it is a re-instantiation then specify that the dSlice must start AFTER the Forge delay
IntVar time =
csp.intVar(rp.makeVarLabel(doReinstantiation.getName(), " * ", forgeD), 0, forgeD, false);
csp.post(csp.times(doReinstantiation, forgeD, time));
csp.post(new Arithmetic(start, Operator.GE, time));
// Be sure that doReinstantiation will be instantiated
csp.post(new FastIFFEq(doReinstantiation, duration, reInstantiateDuration));
}
// The VM either migrate or stay but won't be re-instantiated for sure
else {
doReinstantiation = csp.boolVar(false);
duration = migrationDuration;
}
// If the VM stay (src host == dst host), then duration = 0
csp.post(new FastIFFEq(stay, dSlice.getHoster(), cSlice.getHoster().getValue()));
csp.post(new FastIFFEq(stay, duration, 0));
// We have to force the migration duration equals to 0 if it stays
// otherwise, the variable will be free
csp.post(new FastIFFEq(stay, migrationDuration, 0));
// Create the task ('default' cumulative constraint with a height of 1)
migrationTask = new Task(start, duration, end);
}