/// <summary>
/// Invariant: algebra.IsSatisfiable(context), assumes that bag1 has no dead branches
/// </summary>
private IteBag <T> OpInContext(BagOpertion op, T context, IteBag <T> bag1, IteBag <T> bag2)
{
IteBag <T> bag;
var key = new Tuple <BagOpertion, T, IteBag <T>, IteBag <T> >(op, context, bag1, bag2);
if (opCache.TryGetValue(key, out bag))
{
return(bag);
}
if (bag1.IsLeaf)
{
return(OpInContext2(op, context, bag1, bag2));
}
var context1 = algebra.MkAnd(context, bag1.Predicate);
var context2 = algebra.MkAnd(context, algebra.MkNot(bag1.Predicate));
var t = OpInContext(op, context1, bag1.TrueCase, bag2);
var f = OpInContext(op, context2, bag1.FalseCase, bag2);
bag = MkNode(bag1.Predicate, t, f);
opCache[key] = bag;
return(bag);
}
public bool IntersectsWith(IteBag <T> bag)
{
if (bag.builder != builder)
{
throw new AutomataException(AutomataExceptionKind.IteBagError);
}
return(builder.IsNonemptyIntersection(this, bag));
}
public IteBag <T> Min(IteBag <T> bag)
{
if (bag.builder != builder)
{
throw new AutomataException(AutomataExceptionKind.IteBagError);
}
return(builder.Op(BagOpertion.MIN, this, bag));
}
internal IteBag(IteBagBuilder <T> builder, int count, T predicate, IteBag <T> trueCase, IteBag <T> falseCase)
{
this.builder = builder;
this.Count = count;
this.Predicate = predicate;
this.TrueCase = trueCase;
this.FalseCase = falseCase;
}
private bool IsNonemptyIntersection_2(T context, IteBag <T> leaf, IteBag <T> bag2)
{
bool res;
var key = new Tuple <T, IteBag <T>, IteBag <T> >(context, leaf, bag2);
if (intersectionEmptinessTestCache.TryGetValue(key, out res))
{
return(res);
}
else
{
if (bag2.IsLeaf)
{
if (leaf.Count > 0 && bag2.Count > 0)
{
res = true;
}
else
{
res = false;
}
}
else
{
var context_t = algebra.MkAnd(context, bag2.Predicate);
if (algebra.IsSatisfiable(context_t))
{
var context_f = algebra.MkAnd(context, algebra.MkNot(bag2.Predicate));
if (algebra.IsSatisfiable(context_f))
{
if (IsNonemptyIntersection_2(context_t, leaf, bag2.TrueCase))
{
res = true;
}
else if (IsNonemptyIntersection_2(context_f, leaf, bag2.FalseCase))
{
res = true;
}
else
{
res = false;
}
}
else //~IsSat(context & ~ bag2.Predicate) ---> IsValid(context ==> bag2.Predicate)
{
res = IsNonemptyIntersection_2(context, leaf, bag2.TrueCase);
}
}
else //~IsSat(context & bag2.Predicate) ---> IsValid(context ==> ~ bag2.Predicate)
{
res = IsNonemptyIntersection_2(context, leaf, bag2.FalseCase);
}
}
intersectionEmptinessTestCache[key] = res;
return(res);
}
}
internal bool IsNonemptyIntersection(IteBag <T> bag1, IteBag <T> bag2)
{
count[BagOpertion.ISNONEMPTYINTERSECTION] += 1;
stopwatch[BagOpertion.ISNONEMPTYINTERSECTION].Start();
var res = IsNonemptyIntersection_1(algebra.True, bag1, bag2);
stopwatch[BagOpertion.ISNONEMPTYINTERSECTION].Stop();
return(res);
}
internal IteBag <T> Op(BagOpertion op, IteBag <T> bag1, IteBag <T> bag2)
{
count[op] += 1;
stopwatch[op].Start();
var res = OpInContext(op, algebra.True, bag1, bag2);
stopwatch[op].Stop();
return(res);
}
public IteBagBuilder(IBooleanAlgebra <T> algebra)
{
this.algebra = algebra;
leafCache[0] = new IteBag <T>(this, 0, default(T), null, null);
leafCache[1] = new IteBag <T>(this, 1, default(T), null, null);
foreach (BagOpertion op in Enum.GetValues(typeof(BagOpertion)))
{
count[op] = 0;
stopwatch[op] = new System.Diagnostics.Stopwatch();
}
}
IteBag <T> MkLeaf(int count)
{
IteBag <T> leaf;
if (leafCache.TryGetValue(count, out leaf))
{
return(leaf);
}
leaf = new IteBag <T>(this, count, default(T), null, null);
leafCache[count] = leaf;
return(leaf);
}
IteBag <T> MkNode(T predicate, IteBag <T> t, IteBag <T> f)
{
if (t == f)
{
return(t);
}
IteBag <T> bag;
var key = new Tuple <T, IteBag <T>, IteBag <T> >(predicate, t, f);
if (nodeCache.TryGetValue(key, out bag))
{
return(bag);
}
bag = new IteBag <T>(this, -1, predicate, t, f);
nodeCache[key] = bag;
return(bag);
}
private bool IsNonemptyIntersection_1(T context, IteBag <T> bag1, IteBag <T> bag2)
{
bool res;
var key = new Tuple <T, IteBag <T>, IteBag <T> >(context, bag1, bag2);
if (intersectionEmptinessTestCache.TryGetValue(key, out res))
{
return(res);
}
else
{
if (bag1.IsLeaf)
{
res = IsNonemptyIntersection_2(context, bag1, bag2);
}
else
{
var context1 = algebra.MkAnd(context, bag1.Predicate);
if (IsNonemptyIntersection_1(context1, bag1.TrueCase, bag2))
{
res = true;
}
else
{
var context2 = algebra.MkAnd(context, algebra.MkNot(bag1.Predicate));
if (IsNonemptyIntersection_1(context2, bag1.FalseCase, bag2))
{
res = true;
}
else
{
res = false;
}
}
}
intersectionEmptinessTestCache[key] = res;
return(res);
}
}
private IteBag <T> OpInContext2(BagOpertion op, T context, IteBag <T> leaf, IteBag <T> bag2)
{
if (bag2.IsLeaf)
{
var newleaf = MkLeaf(ApplyOp(op, leaf.Count, bag2.Count));
return(newleaf);
}
IteBag <T> bag;
var key = new Tuple <BagOpertion, T, IteBag <T>, IteBag <T> >(op, context, leaf, bag2);
if (opCache.TryGetValue(key, out bag))
{
return(bag);
}
var context_t = algebra.MkAnd(context, bag2.Predicate);
if (algebra.IsSatisfiable(context_t))
{
var context_f = algebra.MkAnd(context, algebra.MkNot(bag2.Predicate));
if (algebra.IsSatisfiable(context_f))
{
bag = MkNode(bag2.Predicate, OpInContext2(op, context_t, leaf, bag2.TrueCase), OpInContext2(op, context_f, leaf, bag2.FalseCase));
}
else //~IsSat(context & ~ bag2.Predicate) ---> IsValid(context ==> bag2.Predicate)
{
bag = OpInContext2(op, context, leaf, bag2.TrueCase);
}
}
else //~IsSat(context & bag2.Predicate) ---> IsValid(context ==> ~ bag2.Predicate)
{
bag = OpInContext2(op, context, leaf, bag2.FalseCase);
}
opCache[key] = bag;
return(bag);
}
