public Node(Z3_decl_kind type, List <Node> children, Expr expr, Context ctx)
{
_id = _idCounter;
_idCounter++;
Expr = expr;
Children = children;
Type = type;
Ctx = ctx;
}
bool IsInfixOperator(Z3_decl_kind declKind)
{
return
(declKind == Z3_decl_kind.Z3_OP_OR ||
declKind == Z3_decl_kind.Z3_OP_AND ||
declKind == Z3_decl_kind.Z3_OP_UGT ||
declKind == Z3_decl_kind.Z3_OP_UGEQ ||
declKind == Z3_decl_kind.Z3_OP_ULEQ ||
declKind == Z3_decl_kind.Z3_OP_ULT ||
declKind == Z3_decl_kind.Z3_OP_EQ ||
declKind == Z3_decl_kind.Z3_OP_ADD ||
declKind == Z3_decl_kind.Z3_OP_SUB ||
declKind == Z3_decl_kind.Z3_OP_MUL ||
declKind == Z3_decl_kind.Z3_OP_BADD ||
declKind == Z3_decl_kind.Z3_OP_BSUB ||
declKind == Z3_decl_kind.Z3_OP_BMUL ||
declKind == Z3_decl_kind.Z3_OP_BAND ||
declKind == Z3_decl_kind.Z3_OP_BOR ||
declKind == Z3_decl_kind.Z3_OP_BUDIV ||
declKind == Z3_decl_kind.Z3_OP_BUREM ||
declKind == Z3_decl_kind.Z3_OP_DIV ||
declKind == Z3_decl_kind.Z3_OP_REM ||
declKind == Z3_decl_kind.Z3_OP_BLSHR ||
declKind == Z3_decl_kind.Z3_OP_BSHL);
}
bool IsDisjOrConj(Z3_decl_kind declKind)
{
return (declKind == Z3_decl_kind.Z3_OP_OR || declKind == Z3_decl_kind.Z3_OP_AND);
}
bool IsBitDisjOrConj(Z3_decl_kind declKind)
{
return (declKind == Z3_decl_kind.Z3_OP_BOR || declKind == Z3_decl_kind.Z3_OP_BAND);
}
string DescribeInfixOperator(Z3_decl_kind declKind)
{
switch (declKind)
{
case Z3_decl_kind.Z3_OP_OR:
return "||";
case Z3_decl_kind.Z3_OP_AND:
return "&&";
case Z3_decl_kind.Z3_OP_GT:
case Z3_decl_kind.Z3_OP_UGT:
return ">";
case Z3_decl_kind.Z3_OP_LT:
case Z3_decl_kind.Z3_OP_ULT:
return "<";
case Z3_decl_kind.Z3_OP_LE:
case Z3_decl_kind.Z3_OP_ULEQ:
return "<=";
case Z3_decl_kind.Z3_OP_GE:
case Z3_decl_kind.Z3_OP_UGEQ:
return ">=";
case Z3_decl_kind.Z3_OP_EQ:
return "==";
case Z3_decl_kind.Z3_OP_ADD:
return "+";
case Z3_decl_kind.Z3_OP_SUB:
return "-";
case Z3_decl_kind.Z3_OP_MUL:
return "*";
case Z3_decl_kind.Z3_OP_BADD:
return "+";
case Z3_decl_kind.Z3_OP_BSUB:
return "-";
case Z3_decl_kind.Z3_OP_BMUL:
return "*";
case Z3_decl_kind.Z3_OP_BAND:
return "&";
case Z3_decl_kind.Z3_OP_BOR:
return "|";
case Z3_decl_kind.Z3_OP_BUDIV:
return "/";
case Z3_decl_kind.Z3_OP_BUREM:
return "%";
case Z3_decl_kind.Z3_OP_DIV:
return "/";
case Z3_decl_kind.Z3_OP_REM:
return "%";
case Z3_decl_kind.Z3_OP_BLSHR:
return ">>";
case Z3_decl_kind.Z3_OP_BSHL:
return "<<";
default:
throw new AutomataException(AutomataExceptionKind.UnspecifiedOperatorDeclarationKind);
}
}
/**
* Compute the symbolic successors from a given symbolic formula over the system variables
*
* From formula \phi(q) : Post(\phi(q)) = \exists q . T(q, q') and \phi(q)
*/
public List <Expr> symbolicSuccessors(Expr prestate)
{
List <Expr> succs = new List <Expr>();
foreach (Location la in this._cha.Locations)
{
foreach (Transition t in la.Transitions)
{
// todo: just want to do this over the concrete system?
// todo: make sure we add the successor states due to discrete location changes to the terms...
Expr ts;
List <Expr> rel = new List <Expr>();
rel.Add(prestate);
// add the control location prestate from this location
rel.Add(Controller.Instance.Z3.MkEq(Controller.Instance.Q["i"], Controller.Instance.Z3.MkInt(la.Value)));
rel.Add(t.ToTerm()); // add the control location post-state due to this transition
if (t.Guard != null)
{
List <Expr> allj = new List <Expr>();
allj.Add(Controller.Instance.Indices["j"]);
Expr g = Controller.Instance.Z3.MkAnd(Controller.Instance.Z3.MkNot(Controller.Instance.Z3.MkEq(Controller.Instance.Indices["i"], Controller.Instance.Indices["j"])), t.Guard);
g = Controller.Instance.Z3.MkForall(allj.ToArray(), g);
rel.Add(g);
}
if (t.Reset != null)
{
rel.Add(t.Reset);
}
ts = Controller.Instance.Z3.MkAnd((BoolExpr[])rel.ToArray());
//ts = Controller.Instance.Z3.Simplify(ts);
//Pattern[] pats = new Pattern[] { Controller.Instance.Z3.MkPattern(new Term[] { Controller.Instance.Indices["j"] }) };
List <Pattern> pats = new List <Pattern>();
List <String> names = new List <String>();
List <Sort> sorts = new List <Sort>();
// todo: change this and next loop to: foreach variable, extract type, add sort quantifier.
foreach (var pair in Controller.Instance.Q)
{
//pats.Add(Controller.Instance.Z3.MkPattern(new Term[] { pair.Value }));
//bound.Add(pair.Value);
//names.Add(pair.Key);
names.Add("q");
FuncDecl d = pair.Value.FuncDecl;
Symbol dn = d.Name;
Z3_decl_kind dk = d.DeclKind;
//sorts.Add(pair.Value.GetSort());
//TODO: Sort s = Controller.Instance.Z3.MkSort("(Int) " + pair.Value.GetSort().ToString()); // function sort: maps process indices to location type
//sorts.Add(s);
//sorts.Add(Controller.Instance.Z3.MkArraySort(Controller.Instance.IntType, Controller.Instance.RealType));
break;
}
foreach (var pair in Controller.Instance.IndexedVariables)
{
//pats.Add(Controller.Instance.Z3.MkPattern(new Term[] { pair.Value }));
//names.Add(pair.Key);
names.Add(pair.Key.Key);
//sorts.Add(pair.Value.GetSort());
//TODO: Sort s = Controller.Instance.Z3.MkSort("(Int) " + pair.Value.GetSort().ToString()); // function sort: maps process indices to variable type
// todo: add hash table to look up variable types
//sorts.Add(s);
break;
}
//TODO: ts = Controller.Instance.Z3.MkExists(sorts.ToArray(), names.ToArray(), ts);
List <Expr> bound = new List <Expr>();
foreach (var pair in Controller.Instance.Indices)
{
//pats.Add(Controller.Instance.Z3.MkPattern(new Term[] { pair.Value }));
bound.Add(pair.Value);
}
ts = Controller.Instance.Z3.MkExists(bound.ToArray(), ts);
//TODO: ts = Controller.Instance.Z3.Simplify(ts);
// unprime all variables
foreach (var pair in Controller.Instance.QPrimed)
{
Controller.Instance.Z3.replaceTerm(ref ts, ts, pair.Value, Controller.Instance.Q[pair.Key], true);
}
foreach (var pair in Controller.Instance.IndexedVariablesPrimed)
{
Controller.Instance.Z3.replaceTerm(ref ts, ts, pair.Value, Controller.Instance.IndexedVariables[new KeyValuePair <String, String>(pair.Key.Key.Replace("'", ""), pair.Key.Value)], true);
}
//ts = Controller.Instance.Z3.Simplify(ts);
succs.Add(ts);
}
//}
}
return(succs);
}