private Term SubstPredsRec(TermDict <Term> memo, Dictionary <FuncDecl, FuncDecl> subst, Term t)
{
Term res;
if (memo.TryGetValue(t, out res))
{
return(res);
}
if (t.GetKind() == TermKind.App)
{
var args = t.GetAppArgs();
args = args.Select(x => SubstPredsRec(memo, subst, x)).ToArray();
FuncDecl nf = null;
var f = t.GetAppDecl();
if (subst.TryGetValue(f, out nf))
{
res = ctx.MkApp(nf, args);
}
else
{
res = ctx.CloneApp(t, args);
}
} // TODO: handle quantifiers
else
{
res = t;
}
memo.Add(t, res);
return(res);
}
private Term BindVariables(Term t, bool universal = true)
{
TermDict <bool> memo = new TermDict <bool>();
List <Term> vars = new List <Term>();
CollectVariables(memo, t, vars);
return(universal ? ctx.MkForall(vars.ToArray(), t) : ctx.MkExists(vars.ToArray(), t));
}
private void CollectVariables(TermDict <bool> memo, Term t, List <Term> vars)
{
if (memo.ContainsKey(t))
{
return;
}
if (IsVariable(t))
{
vars.Add(t);
}
if (t.GetKind() == TermKind.App)
{
foreach (var s in t.GetAppArgs())
{
CollectVariables(memo, s, vars);
}
}
memo.Add(t, true);
}
private Edge GetEdgeFromClause(Term t, FuncDecl failName)
{
Term[] args = t.GetAppArgs();
Term body = args[0];
Term head = args[1];
Term[] _IndParams;
FuncDecl Name;
if (head.IsFalse())
{
Name = failName;
_IndParams = new Term[0];
}
else
{
_IndParams = head.GetAppArgs();
Name = head.GetAppDecl();
}
for (int i = 0; i < _IndParams.Length; i++)
{
if (!IsVariable(_IndParams[i]))
{
Term v = ctx.MkConst("@a" + i.ToString(), _IndParams[i].GetSort());
body = ctx.MkAnd(body, ctx.MkEq(v, _IndParams[i]));
_IndParams[i] = v;
}
}
var relParams = new List <FuncDecl>();
var nodeParams = new List <RPFP.Node>();
var memo = new TermDict <Term>();
var done = new Dictionary <Term, Term>(); // note this hashes on equality, not reference!
body = CollectParamsRec(memo, body, relParams, nodeParams, done);
Transformer F = CreateTransformer(relParams.ToArray(), _IndParams, body);
Node parent = relationToNode[Name];
return(CreateEdge(parent, F, nodeParams.ToArray()));
}
private Term CollectParamsRec(TermDict <Term> memo, Term t, List <FuncDecl> parms, List <RPFP.Node> nodes,
Dictionary <Term, Term> done)
{
Term res;
if (memo.TryGetValue(t, out res))
{
return(res);
}
if (t.GetKind() == TermKind.App)
{
var f = t.GetAppDecl();
Node node;
if (relationToNode.TryGetValue(f, out node))
{
if (done.ContainsKey(t))
{
res = done[t];
}
else
{
f = SuffixFuncDecl(t, parms.Count);
parms.Add(f);
nodes.Add(node);
done.Add(t, res); // don't count same expression twice!
}
}
var args = t.GetAppArgs();
args = args.Select(x => CollectParamsRec(memo, x, parms, nodes, done)).ToArray();
res = ctx.CloneApp(t, args);
} // TODO: handle quantifiers
else
{
res = t;
}
memo.Add(t, res);
return(res);
}
private Term SubstRec(TermDict< Term> memo, Term t)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
var kind = t.GetKind();
if (kind == TermKind.App)
{
// var f = t.GetAppDecl();
var args = t.GetAppArgs().Select(x => SubstRec(memo, x)).ToArray();
res = ctx.CloneApp(t, args);
}
else res = t;
memo.Add(t, res);
return res;
}
private void FactorVCs(Term t, List<Term> vcs)
{
List<Term> small = new List<Term>();
ExtractSmallerVCs(t, small);
foreach (var smm in small)
{
List<Term> goals = new List<Term>();
List<Term> cruft = new List<Term>();
var sm = largeblock ? MergeGoals(smm) : smm;
CollectGoals(sm, goals,cruft);
foreach (var goal in goals)
{
TermDict< Term> memo = new TermDict< Term>();
foreach (var othergoal in goals)
memo.Add(othergoal, othergoal.Equals(goal) ? ctx.MkFalse() : ctx.MkTrue());
foreach (var thing in cruft)
memo.Add(thing, ctx.MkTrue());
var vc = SubstRecGoals(memo, sm);
vc = ctx.MkImplies(ctx.MkNot(vc), goal);
vcs.Add(vc);
}
{
TermDict< Term> memo = new TermDict< Term>();
foreach (var othergoal in goals)
memo.Add(othergoal, ctx.MkTrue());
var vc = SubstRecGoals(memo, sm);
if (vc != ctx.MkTrue())
{
vc = ctx.MkImplies(ctx.MkNot(vc), ctx.MkFalse());
vcs.Add(vc);
}
}
}
}
private Term SubstPreds(Dictionary<FuncDecl, FuncDecl> subst, Term t)
{
TermDict< Term> memo = new TermDict< Term>();
return SubstPredsRec(memo, subst, t);
}
private Term SubstPredsRec(TermDict< Term> memo, Dictionary<FuncDecl,FuncDecl> subst, Term t)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
if (t.GetKind() == TermKind.App)
{
var args = t.GetAppArgs();
args = args.Select(x => SubstPredsRec(memo,subst,x)).ToArray();
FuncDecl nf = null;
var f = t.GetAppDecl();
if (subst.TryGetValue(f, out nf))
{
res = ctx.MkApp(nf, args);
}
else
{
res = ctx.CloneApp(t, args);
}
} // TODO: handle quantifiers
else
res = t;
memo.Add(t, res);
return res;
}
private void CollectVariables(TermDict< bool> memo, Term t, List<Term> vars)
{
if (memo.ContainsKey(t))
return;
if (IsVariable(t))
vars.Add(t);
if (t.GetKind() == TermKind.App)
{
foreach (var s in t.GetAppArgs())
CollectVariables(memo, s, vars);
}
memo.Add(t, true);
}
private Edge GetEdgeFromClause(Term t, FuncDecl failName)
{
Term[] args = t.GetAppArgs();
Term body = args[0];
Term head = args[1];
Term[] _IndParams;
FuncDecl Name;
if (head.IsFalse())
{
Name = failName;
_IndParams = new Term[0];
}
else
{
_IndParams = head.GetAppArgs();
Name = head.GetAppDecl();
}
for(int i = 0; i < _IndParams.Length; i++)
if (!IsVariable(_IndParams[i]))
{
Term v = ctx.MkConst("@a" + i.ToString(), _IndParams[i].GetSort());
body = ctx.MkAnd(body, ctx.MkEq(v, _IndParams[i]));
_IndParams[i] = v;
}
var relParams = new List<FuncDecl>();
var nodeParams = new List<RPFP.Node>();
var memo = new TermDict< Term>();
var done = new Dictionary<Term, Term>(); // note this hashes on equality, not reference!
body = CollectParamsRec(memo, body, relParams, nodeParams,done);
Transformer F = CreateTransformer(relParams.ToArray(), _IndParams, body);
Node parent = relationToNode[Name];
return CreateEdge(parent, F, nodeParams.ToArray());
}
private Term SubstRecGoals(TermDict< Term> memo, Term t)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
var kind = t.GetKind();
if (kind == TermKind.App)
{
var f = t.GetAppDecl();
var args = t.GetAppArgs();
if (f.GetKind() == DeclKind.Implies){
res = SubstRecGoals(memo, args[1]);
if (res != ctx.MkTrue())
res = ctx.MkImplies(args[0],res);
goto done;
}
else if (f.GetKind() == DeclKind.And)
{
args = args.Select(x => SubstRecGoals(memo, x)).ToArray();
args = args.Where(x => x != ctx.MkTrue()).ToArray();
res = ctx.MkAnd(args);
goto done;
}
else if (f.GetKind() == DeclKind.Label)
{
var arg = t.GetAppArgs()[0];
var r = arg.GetAppDecl();
if (r.GetKind() == DeclKind.Uninterpreted)
{
if (memo.TryGetValue(arg, out res))
{
if(res != ctx.MkTrue())
res = ctx.MkApp(f, res);
goto done;
}
}
else
{
res = ctx.MkApp(f, SubstRecGoals(memo, arg));
goto done;
}
}
// what's left could be cruft!
if (memo.TryGetValue(t, out res))
{
goto done;
}
}
res = t;
done:
memo.Add(t, res);
return res;
}
private Term MergeGoalsRec(TermDict< Term> memo, Term t)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
var kind = t.GetKind();
if (kind == TermKind.App)
{
var f = t.GetAppDecl();
var args = t.GetAppArgs();
if (f.GetKind() == DeclKind.Implies)
{
res = ctx.MkImplies(args[0], MergeGoalsRec(memo, args[1]));
goto done;
}
else if (f.GetKind() == DeclKind.And)
{
args = args.Select(x => MergeGoalsRec(memo, x)).ToArray();
res = ctx.MkApp(f, args);
goto done;
}
else if (f.GetKind() == DeclKind.Label)
{
var arg = t.GetAppArgs()[0];
var r = arg.GetAppDecl();
if (r.GetKind() == DeclKind.Uninterpreted)
{
res = NormalizeGoal(arg, f);
goto done;
}
}
}
res = t;
done:
memo.Add(t, res);
return res;
}
public void GetTransformer(StratifiedInliningInfo info)
{
Term vcTerm = boogieContext.VCExprToTerm(info.vcexpr, linOptions);
Term[] paramTerms = info.interfaceExprVars.Select(x => boogieContext.VCExprToTerm(x, linOptions)).ToArray();
var relParams = new List<FuncDecl>();
var nodeParams = new List<RPFP.Node>();
var memo = new TermDict< Term>();
var done = new Dictionary<Term,Term>(); // note this hashes on equality, not reference!
vcTerm = CollectParamsRec(memo, vcTerm, relParams, nodeParams,done);
// var ops = new Util.ContextOps(ctx);
// var foo = ops.simplify_lhs(vcTerm);
// vcTerm = foo.Item1;
info.F = rpfp.CreateTransformer(relParams.ToArray(), paramTerms, vcTerm);
info.edge = rpfp.CreateEdge(info.node, info.F, nodeParams.ToArray());
rpfp.edges.Add(info.edge);
// TODO labels[info.edge.number] = foo.Item2;
}
private Term ExtractSmallerVCsRec(TermDict< Term> memo, Term t, List<Term> small, Term lbl = null)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
var kind = t.GetKind();
if (kind == TermKind.App)
{
var f = t.GetAppDecl();
if (f.GetKind() == DeclKind.Implies){
var lhs = t.GetAppArgs()[0];
if(lhs.GetKind() == TermKind.App){
var r = lhs.GetAppDecl();
if (r.GetKind() == DeclKind.And)
{
Term q = t.GetAppArgs()[1];
var lhsargs = lhs.GetAppArgs();
for (int i = lhsargs.Length-1; i >= 0; --i)
{
q = ctx.MkImplies(lhsargs[i], q);
}
res = ExtractSmallerVCsRec(memo, q, small,lbl);
goto done;
}
if (r.GetKind() == DeclKind.Label)
{
var arg = lhs;
arg = lhs.GetAppArgs()[0];
if (!(arg.GetKind() == TermKind.App && arg.GetAppDecl().GetKind() == DeclKind.Uninterpreted))
goto normal;
if (!(annotationInfo.ContainsKey(arg.GetAppDecl().GetDeclName()) && annotationInfo[arg.GetAppDecl().GetDeclName()].type == AnnotationInfo.AnnotationType.LoopInvariant))
goto normal;
var sm = ctx.MkImplies(lhs, ExtractSmallerVCsRec(memo, t.GetAppArgs()[1], small));
if (lbl != null)
sm = ctx.MkImplies(lbl, sm);
small.Add(sm);
res = ctx.MkTrue();
goto done;
}
if (r.GetKind() == DeclKind.Uninterpreted)
{
var arg = lhs;
if (!(annotationInfo.ContainsKey(arg.GetAppDecl().GetDeclName()) && annotationInfo[arg.GetAppDecl().GetDeclName()].type == AnnotationInfo.AnnotationType.LoopInvariant))
goto normal;
var sm = ctx.MkImplies(lhs,ExtractSmallerVCsRec(memo,t.GetAppArgs()[1],small));
if (lbl != null)
sm = ctx.MkImplies(lbl, sm);
small.Add(sm);
res = ctx.MkTrue();
goto done;
}
}
normal:
Term newlbl = null;
if (lhs.IsLabel() && lhs.GetAppArgs()[0] == ctx.MkTrue())
newlbl = lhs;
res = ctx.MkImplies(lhs,ExtractSmallerVCsRec(memo,t.GetAppArgs()[1],small,newlbl));
}
else if (f.GetKind() == DeclKind.And)
{
res = ctx.MkApp(f,t.GetAppArgs().Select(x => ExtractSmallerVCsRec(memo, x, small)).ToArray());
}
else
res = t;
}
else
res = t;
done:
memo.Add(t, res);
return res;
}
private void ExtractSmallerVCs(Term t, List<Term> small)
{
TermDict< Term> memo = new TermDict< Term>();
Term top = ExtractSmallerVCsRec(memo, t, small);
small.Add(top);
}
private Term CollectGoalsRec(TermDict< Term> memo, Term t, List<Term> goals, List<Term> cruft)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
var kind = t.GetKind();
if (kind == TermKind.App)
{
var f = t.GetAppDecl();
if (f.GetKind() == DeclKind.Implies)
{
CollectGoalsRec(memo, t.GetAppArgs()[1], goals, cruft);
goto done;
}
else if (f.GetKind() == DeclKind.And)
{
foreach (var arg in t.GetAppArgs())
{
CollectGoalsRec(memo, arg, goals, cruft);
}
goto done;
}
else if (f.GetKind() == DeclKind.Label)
{
var arg = t.GetAppArgs()[0];
var r = arg.GetAppDecl();
if (r.GetKind() == DeclKind.Uninterpreted)
{
if (memo.TryGetValue(arg, out res))
goto done;
if (!annotationInfo.ContainsKey(r.GetDeclName()) && !arg.GetAppDecl().GetDeclName().StartsWith("_solve_"))
goto done;
goals.Add(arg);
memo.Add(arg, arg);
goto done;
}
else
return CollectGoalsRec(memo, arg, goals, cruft);
}
else if (f.GetKind() == DeclKind.Uninterpreted)
{
string name = f.GetDeclName();
if (name.StartsWith("_solve_"))
{
if (memo.TryGetValue(t, out res))
goto done;
goals.Add(t);
memo.Add(t, t);
return t;
}
}
}
// else the goal must be cruft
cruft.Add(t);
done:
res = t; // just to return something
memo.Add(t, res);
return res;
}
private void CollectGoals(Term t, List<Term> goals, List<Term> cruft)
{
TermDict< Term> memo = new TermDict< Term>();
CollectGoalsRec(memo, t.GetAppArgs()[1], goals, cruft);
}
private Term BindVariables(Term t, bool universal = true)
{
TermDict< bool> memo = new TermDict<bool>();
List<Term> vars = new List<Term>();
CollectVariables(memo,t,vars);
return universal ? ctx.MkForall(vars.ToArray(), t) : ctx.MkExists(vars.ToArray(), t);
}
private Term CollectParamsRec(TermDict<Term> memo, Term t, List<FuncDecl> parms, List<RPFP.Node> nodes, Dictionary<Term, Term> done)
{
Term res;
if (memo.TryGetValue(t, out res))
return res;
if (t.GetKind() == TermKind.App)
{
var f = t.GetAppDecl();
Node node;
if (relationToNode.TryGetValue(f, out node))
{
if (done.ContainsKey(t))
res = done[t];
else
{
f = SuffixFuncDecl(t, parms.Count);
parms.Add(f);
nodes.Add(node);
done.Add(t,res); // don't count same expression twice!
}
}
var args = t.GetAppArgs();
args = args.Select(x => CollectParamsRec(memo, x, parms, nodes, done)).ToArray();
res = ctx.CloneApp(t, args);
} // TODO: handle quantifiers
else
res = t;
memo.Add(t, res);
return res;
}
private Term SubstPreds(Dictionary <FuncDecl, FuncDecl> subst, Term t)
{
TermDict <Term> memo = new TermDict <Term>();
return(SubstPredsRec(memo, subst, t));
}
private Term MergeGoals(Term t)
{
TermDict< Term> memo = new TermDict< Term>();
return MergeGoalsRec(memo, t);
}