public CsAutomaton(CsAlgebra <S> productAlgebra, Automaton <CsLabel <S> > aut, PowerSetStateBuilder stateBuilder, Dictionary <int, ICounter> countingStates, HashSet <int> origFinalStates) : base(aut)
{
this.stateBuilder = stateBuilder;
this.countingStates = countingStates;
this.origFinalStates = origFinalStates;
activeCounterMap = new Dictionary <int, HashSet <int> >();
finalCounterSet = new HashSet <int>();
counters = new ICounter[countingStates.Count];
foreach (var q in aut.States)
{
var q_set = new HashSet <int>();
activeCounterMap[q] = q_set;
foreach (var mem in stateBuilder.GetMembers(q))
{
if (countingStates.ContainsKey(mem))
{
var counterId = countingStates[mem].CounterId;
q_set.Add(counterId);
if (origFinalStates.Contains(mem))
{
finalCounterSet.Add(counterId);
}
counters[counterId] = countingStates[mem];
}
}
}
this.productAlgebra = productAlgebra;
stateDescr[InitialState] = SpecialCharacters.S(0);
}
public string ToString <S>(CsAlgebra <S> algebra)
{
string s = "";
if (isAND)
{
for (int i = 0; i < Length; i++)
{
if (this[i] != CsCondition.TRUE)
{
if (s != "")
{
s += SpecialCharacters.AND;
}
s += DescribeCondition <S>(algebra, this[i], i);
}
}
if (s == "")
{
s = SpecialCharacters.TOP.ToString();
}
}
else
{
for (int i = 0; i < Length; i++)
{
if (this[i] != CsCondition.FALSE)
{
if (s != "")
{
s += SpecialCharacters.OR;
}
s += DescribeCondition <S>(algebra, this[i], i);
}
}
if (s == "")
{
s = SpecialCharacters.BOT.ToString();
}
}
return(s);
}
internal CsPred(CsAlgebra <T> alg, BDD <T> pred)
{
this.alg = alg;
this.pred = pred;
}
public static string DescribeCondition <S>(CsAlgebra <S> algebra, CsCondition cond, int i)
{
string c = SpecialCharacters.c(i);
string canExit = SpecialCharacters.XI_LOWERCASE + SpecialCharacters.ToSubscript(i);
string canIncr = SpecialCharacters.IOTA_LOWERCASE + SpecialCharacters.ToSubscript(i);
char and = SpecialCharacters.AND;
char or = SpecialCharacters.OR;
char not = SpecialCharacters.NOT;
string empty = string.Format("{0}={1}", c, SpecialCharacters.EMPTYSET);
string nonempty = string.Format("{0}{1}{2}", c, SpecialCharacters.NEQ, SpecialCharacters.EMPTYSET);
string _true = SpecialCharacters.TOP.ToString();
string _false = SpecialCharacters.BOT.ToString();
switch (cond)
{
case CsCondition.TRUE:
return(_true);
case CsCondition.FALSE:
return(_false);
case CsCondition.EMPTY:
return(empty);
case CsCondition.NONEMPTY:
return(nonempty);
case CsCondition.LOW:
//return string.Format("{0}{2}{3}{4}max({0})<{1}", SpecialCharacters.Cntr(i), algebra.GetCounter(i).LowerBound, SpecialCharacters.NEQ, SpecialCharacters.EMPTYSET, SpecialCharacters.AND);
//return canIncr + and + not + canExit;
return(not + canExit);
case CsCondition.HIGH:
//return string.Format("{0}={{{1}}}", SpecialCharacters.Cntr(i), algebra.GetCounter(i).UpperBound);
//return not + canIncr + and + canExit;
return(not + canIncr);
case CsCondition.CANEXIT:
//return string.Format("{0}{1}{2}", SpecialCharacters.Cntr(i), SpecialCharacters.GEQ, algebra.GetCounter(i).LowerBound);
return(canExit);
case CsCondition.CANNOTEXIT:
//return string.Format("{0}{1}{2}", SpecialCharacters.Cntr(i), SpecialCharacters.NOTGEQ, algebra.GetCounter(i).LowerBound);
return(not + canExit);
case CsCondition.CANLOOP:
//return string.Format("{0}+1{1}{2}", SpecialCharacters.Cntr(i), SpecialCharacters.NEQ, SpecialCharacters.EMPTYSET);
//return string.Format("{0}x{1}{2}(x<{3})", SpecialCharacters.EXISTS, SpecialCharacters.IN, SpecialCharacters.Cntr(i), algebra.GetCounter(i).UpperBound);
return(canIncr);
case CsCondition.CANNOTLOOP:
//return string.Format("{0}+1{1}{2}", SpecialCharacters.Cntr(i), "=", SpecialCharacters.EMPTYSET);
//return string.Format("{0}x{1}{2}(x<{3})", SpecialCharacters.NOTEXISTS, SpecialCharacters.IN, SpecialCharacters.Cntr(i), algebra.GetCounter(i).UpperBound);
return(not + canIncr);
case CsCondition.MIDDLE:
//return string.Format("{2}{4}{5}{6}{0}{1}max({2})<{3}", algebra.GetCounter(i).LowerBound, SpecialCharacters.LEQ, SpecialCharacters.Cntr(i), algebra.GetCounter(i).UpperBound, SpecialCharacters.NEQ, SpecialCharacters.EMPTYSET, SpecialCharacters.AND);
return(canIncr + and + canExit);
#region these cases should not occur
case CsCondition.LOWorHIGH:
//return string.Format("({0}{1}{2})", DescribeCondition<S>(algebra, CsCondition.LOW, i), SpecialCharacters.OR, DescribeCondition<S>(algebra, CsCondition.HIGH, i));
return("(" + not + canIncr + or + not + canExit + ")");
case CsCondition.EMPTYorCANEXIT:
return("(" + empty + or + canExit + ")");
case CsCondition.EMPTYorCANLOOP:
return("(" + empty + or + canIncr + ")");
case CsCondition.EMPTYorHIGHorLOW:
return("(" + empty + or + not + canIncr + or + not + canExit + ")");
case CsCondition.EMPTYorMIDDLE:
return("(" + empty + or + canIncr + and + canExit + ")");
default:
throw new AutomataException(AutomataExceptionKind.UndefinedEnum);
#endregion
}
}
public static CsAutomaton <S> CreateFrom(CountingAutomaton <S> ca)
{
var productmoves = new List <Move <CsPred <S> > >();
var counters = ca.counters;
var alg = new CsAlgebra <S>(((CABA <S>)ca.Algebra).builder.solver, counters);
foreach (var move in ca.GetMoves())
{
var ccond = alg.TrueCsConditionSeq;
if (ca.IsCountingState(move.SourceState))
{
var counter = ca.GetCounter(move.SourceState);
var cid = counter.CounterId;
if (move.Label.Item2.First.OperationKind == CounterOp.EXIT ||
move.Label.Item2.First.OperationKind == CounterOp.EXIT_SET0 ||
move.Label.Item2.First.OperationKind == CounterOp.EXIT_SET1)
{
if (counter.LowerBound == counter.UpperBound && !ca.HasMovesTo(move.SourceState, move.Label.Item1.Element))
{
ccond = ccond.And(cid, CsCondition.HIGH);
}
else if (counter.LowerBound > 0)
{
ccond = ccond.And(cid, CsCondition.CANEXIT);
}
else
{
ccond.And(cid, CsCondition.NONEMPTY);
}
}
else
{
if (move.Label.Item2.First.OperationKind != CounterOp.INCR)
{
throw new AutomataException(AutomataExceptionKind.InternalError);
}
if (counter.LowerBound == counter.UpperBound && !ca.HasMovesTo(move.SourceState, move.Label.Item1.Element))
{
ccond = ccond.And(cid, CsCondition.LOW);
}
else
{
ccond = ccond.And(cid, CsCondition.CANLOOP);
}
}
}
if (ccond.IsSatisfiable)
{
var pmove = Move <CsPred <S> > .Create(move.SourceState, move.TargetState, alg.MkPredicate(move.Label.Item1.Element, ccond));
productmoves.Add(pmove);
}
}
var prodaut = Automaton <CsPred <S> > .Create(alg, ca.InitialState, ca.GetFinalStates(), productmoves);
PowerSetStateBuilder sb;
var det = prodaut.Determinize(out sb);
//add predicate that all counters associated with the state are nonempty
var counterFilter = new Dictionary <int, CsConditionSeq>();
foreach (var state in det.GetStates())
{
var stateCounterFilter = alg.TrueCsConditionSeq;
foreach (var q in sb.GetMembers(state))
{
if (ca.IsCountingState(q))
{
stateCounterFilter = stateCounterFilter.And(ca.GetCounter(q).CounterId, CsCondition.NONEMPTY);
}
}
counterFilter[state] = stateCounterFilter;
}
var csmoves = new List <Move <CsLabel <S> > >();
//make disjunction of the guards of transitions with same update sequence
var trans = new Dictionary <Tuple <int, int>, Dictionary <CsUpdateSeq, CsPred <S> > >();
foreach (var dmove in det.GetMoves())
{
foreach (var prodcond in dmove.Label.GetSumOfProducts())
{
var upd = CsUpdateSeq.MkNOOP(ca.NrOfCounters);
foreach (var q in sb.GetMembers(dmove.SourceState))
{
upd = upd | ca.GetCounterUpdate(q, prodcond.Item2, prodcond.Item1);
}
//make sure all counter guards are nonempty
//determinization may create EMPTY counter conditions that are unreachable
//while all counters associated with a state are always nonempty
var counterGuard = prodcond.Item1 & counterFilter[dmove.SourceState];
if (counterGuard.IsSatisfiable)
{
#region replace set with incr if possible
for (int i = 0; i < upd.Length; i++)
{
var guard_i = counterGuard[i];
if (guard_i == CsCondition.HIGH)
{
var upd_i = upd[i];
switch (upd_i)
{
case CsUpdate.SET0:
upd = upd.Set(i, CsUpdate.INCR0);
break;
case CsUpdate.SET1:
upd = upd.Set(i, CsUpdate.INCR1);
break;
case CsUpdate.SET01:
upd = upd.Set(i, CsUpdate.INCR01);
break;
default:
break;
}
}
}
#endregion
var guard = alg.MkPredicate(prodcond.Item2, counterGuard);
var statepair = new Tuple <int, int>(dmove.SourceState, dmove.TargetState);
Dictionary <CsUpdateSeq, CsPred <S> > labels;
if (!trans.TryGetValue(statepair, out labels))
{
labels = new Dictionary <CsUpdateSeq, CsPred <S> >();
trans[statepair] = labels;
}
CsPred <S> pred;
if (!labels.TryGetValue(upd, out pred))
{
pred = guard;
}
else
{
pred = guard | pred;
}
labels[upd] = pred;
}
else
{
;
}
}
}
Func <S, string> pp = ((CABA <S>)ca.Algebra).builder.solver.PrettyPrint;
foreach (var entry in trans)
{
var s = entry.Key.Item1;
var t = entry.Key.Item2;
foreach (var label in entry.Value)
{
var upd = label.Key;
var psi = label.Value;
csmoves.Add(Move <CsLabel <S> > .Create(s, t, CsLabel <S> .MkTransitionLabel(psi, upd, pp)));
}
}
var csa_aut = Automaton <CsLabel <S> > .Create(null, det.InitialState, det.GetFinalStates(), csmoves, true, true);
var fs = new HashSet <int>(ca.GetFinalStates());
var csa = new CsAutomaton <S>(alg, csa_aut, sb, ca.countingStates, fs);
return(csa);
}
