private SymValue FindCandidate(SymValue[] args, TFunc function)
{
int length = args.Length;
var multiEdge = new MultiEdge <TFunc, TADomain> (function, 0, length);
for (Sequence <SymValue> list = MultiEdgeMap [args [0], multiEdge]; list != null; list = list.Tail)
{
SymGraphTerm <TFunc> term = EqualMultiTermsMap [list.Head];
if (term.Args.Length == length)
{
bool found = true;
for (int i = 0; i < length; ++i)
{
if (Find(term.Args [i]) != args [i])
{
found = false;
break;
}
}
if (found)
{
return(list.Head);
}
}
}
return(null);
}
public IEnumerable <SymGraphTerm <TFunc> > EqMultiTerms(SymValue sv)
{
SymGraphTerm <TFunc> term = EqualMultiTermsMap [sv];
if (term.Args != null && IsValidMultiTerm(term))
{
yield return(term);
}
}
public void Commit()
{
if (Changed)
{
return;
}
bool needContinue = false;
foreach (var edge in this.Graph1.ValidMultiTerms)
{
SymGraphTerm <TFunc> term = edge.Value;
var args = new SymValue[term.Args.Length];
for (int i = 0; i < args.Length; ++i)
{
SymValue sv = term.Args[i];
if (IsMappingAlreadyAdded(sv, null))
{
if (this.mappings.Keys2(sv) != null && this.mappings.Keys2(sv).Count() == 1)
{
args[i] = this.mappings[sv, this.mappings.Keys2(sv).First()];
}
}
else
{
needContinue = true;
break;
}
if (args[i] == null)
{
Changed = true;
return;
}
}
if (needContinue)
{
continue;
}
SymValue symbol = this.Result.LookupWithoutManifesting(args, term.Function);
if (symbol != null)
{
SymValue key = edge.Key;
if (this.mappings.Keys2(key) != null && this.mappings.Keys2(key).Count() == 1 && this.mappings[key, this.mappings.Keys2(key).First()] == symbol)
{
continue;
}
}
Changed = true;
return;
}
}
public bool Equals(SymGraphTerm <TFunc> that)
{
if (!this.Function.Equals(that.Function) || this.Args.Length != that.Args.Length)
{
return(false);
}
for (int i = 0; i < this.Args.Length; i++)
{
if (!this.Args [i].Equals(that.Args [i]))
{
return(false);
}
}
return(true);
}
public void JoinMultiEdge(SymValue sv1, SymValue sv2, MultiEdge <TFunc, TADomain> edge)
{
var key = new Tuple <SymValue, SymValue, MultiEdge <TFunc, TADomain> > (sv1, sv2, edge);
if (!this.visited_multi_edges.Add(key))
{
return;
}
Sequence <SymValue> list1 = this.Graph1.MultiEdgeMap [sv1, edge];
Sequence <SymValue> list2 = this.Graph2.MultiEdgeMap [sv2, edge];
if (list2.IsEmpty())
{
return;
}
foreach (SymValue v1 in list1.AsEnumerable())
{
foreach (SymValue v2 in list2.AsEnumerable())
{
if (UpdatePendingCount(v1, v2, edge.Arity))
{
SymGraphTerm <TFunc> term1 = this.Graph1.EqualMultiTermsMap [v1];
SymGraphTerm <TFunc> term2 = this.Graph2.EqualMultiTermsMap [v2];
if (term1.Args != null && term2.Args != null)
{
var resultRoots = new SymValue[term1.Args.Length];
for (int i = 0; i < resultRoots.Length; i++)
{
resultRoots [i] = this.mappings [term1.Args [i], term2.Args [i]];
}
SymValue r = AddJointEdge(v1, v2, edge.Function, resultRoots);
if (r != null)
{
JoinSymbolicValue(sv1, sv2, r);
}
}
else
{
break;
}
}
}
}
}
private static bool InternalLessEqual(SymGraph <TFunc, TADomain> thisG, SymGraph <TFunc, TADomain> thatG,
out IImmutableMap <SymValue, Sequence <SymValue> > forward,
out IImmutableMap <SymValue, SymValue> backward)
{
int updateSize;
SymGraph <TFunc, TADomain> commonTail = ComputeCommonTail(thisG, thatG, out updateSize);
if (thisG.IsImmutable)
{
thisG = thisG.Clone();
}
var workList = new WorkList <EqualityPair <TFunc, TADomain> > ();
workList.Add(new EqualityPair <TFunc, TADomain> (thisG.const_root, thatG.const_root));
IImmutableSet <SymValue> backwardManifested = ImmutableSet <SymValue> .Empty(SymValue.GetUniqueKey);
IImmutableMap <SymValue, SymValue> backwardMap = ImmutableIntKeyMap <SymValue, SymValue> .Empty(SymValue.GetUniqueKey);
IImmutableMap <SymValue, Sequence <SymValue> > forwardMap = ImmutableIntKeyMap <SymValue, Sequence <SymValue> > .Empty(SymValue.GetUniqueKey);
IImmutableMap <SymValue, int> triggers = ImmutableIntKeyMap <SymValue, int> .Empty(SymValue.GetUniqueKey);
while (!workList.IsEmpty())
{
EqualityPair <TFunc, TADomain> equalityPair = workList.Pull();
SymValue sv1 = equalityPair.Sv1;
SymValue sv2 = equalityPair.Sv2;
SymValue s;
if (VisitedBefore(sv2, backwardManifested, backwardMap, out s))
{
if (s != null && s == sv1)
{
continue;
}
if (DebugOptions.Debug)
{
Console.WriteLine("---LessEqual fails due to pre-existing relation: {0} <- {1}", s, sv2);
}
forward = null;
backward = null;
return(false);
}
TADomain val1 = sv1 == null?thisG.UnderlyingTopValue.ForManifestedField() : thisG [sv1];
TADomain val2 = thatG [sv2];
if (!val1.LessEqual(val2))
{
if (DebugOptions.Debug)
{
Console.WriteLine("---LessEqual fails due to abstract values: !({0} <= {1})", val1, val2);
}
forward = null;
backward = null;
return(false);
}
if (sv1 != null)
{
backwardMap = backwardMap.Add(sv2, sv1);
forwardMap = forwardMap.Add(sv1, forwardMap [sv1].Cons(sv2));
}
else
{
backwardManifested = backwardManifested.Add(sv2);
}
if (thisG.HasAllBottomFields(sv1))
{
continue;
}
if (thatG.HasAllBottomFields(sv2))
{
if (DebugOptions.Debug)
{
Console.WriteLine("---LessEqual fails due to bottom field difference");
}
forward = null;
backward = null;
return(false);
}
foreach (TFunc function in thatG.Functions(sv2))
{
SymValue v1 = thisG [function, sv1];
SymValue v2 = thatG [function, sv2];
if (DebugOptions.Debug)
{
Console.WriteLine(" {0}-{1}->{2} <=? {3}-{4}->{5}", sv1, function, v1, sv2, function, v2);
}
workList.Add(new EqualityPair <TFunc, TADomain> (v1, v2));
}
foreach (var e in thatG.MultiEdges(sv2))
{
foreach (SymValue sv in thatG.MultiEdgeMap[sv2, e].AsEnumerable())
{
if (!UpdateTrigger(sv, e, ref triggers))
{
continue;
}
SymGraphTerm <TFunc> term = thatG.EqualMultiTermsMap [sv];
var args = new SymValue[term.Args.Length];
for (int i = 0; i < args.Length; i++)
{
args [i] = backwardMap [term.Args [i]];
}
SymValue v1 = thisG.LookupWithoutManifesting(args, e.Function);
if (v1 == null)
{
if (DebugOptions.Debug)
{
Console.WriteLine("---LessEqual fails due to missing multi term {0}({1})",
e.Function,
string.Join(", ", term.Args.Select(it => it.ToString())));
}
forward = null;
backward = null;
return(false);
}
workList.Add(new EqualityPair <TFunc, TADomain> (v1, sv));
}
}
}
forward = forwardMap;
backward = CompleteWithCommon(backwardMap, thisG, commonTail.IdGenerator);
return(true);
}
private bool IsValidMultiTerm(SymGraphTerm <TFunc> term)
{
return(LookupWithoutManifesting(term.Args, term.Function) != null);
}
public void Dump(TextWriter tw)
{
var set = new HashSet <SymValue> ();
var workList = new WorkList <SymValue> ();
IImmutableMap <SymValue, int> triggers = ImmutableIntKeyMap <SymValue, int> .Empty(SymValue.GetUniqueKey);
tw.WriteLine("EGraphId: {0}", this.egraph_id);
tw.WriteLine("LastSymbolId: {0}", LastSymbolId);
foreach (TFunc function in TermMap.Keys2(this.const_root))
{
SymValue sv = this [this.const_root, function];
tw.WriteLine("{0} = {1}", function, sv);
workList.Add(sv);
}
while (!workList.IsEmpty())
{
SymValue sv = workList.Pull();
if (!set.Add(sv))
{
continue;
}
foreach (TFunc function in TermMap.Keys2(sv))
{
SymValue target = this [sv, function];
tw.WriteLine("{0}({2}) = {1})", function, target, sv);
workList.Add(target);
}
foreach (var edge in MultiEdgeMap.Keys2(sv))
{
foreach (SymValue target in MultiEdgeMap[sv, edge].AsEnumerable())
{
if (!UpdateTrigger(target, edge, ref triggers))
{
continue;
}
SymGraphTerm <TFunc> term = EqualMultiTermsMap [target];
if (term.Args != null)
{
tw.WriteLine("{0}({1}) = {2}",
term.Function,
term.Args.ToString(", "), target);
workList.Add(target);
}
}
}
}
tw.WriteLine("**Abstract value map");
foreach (SymValue sv in set)
{
TADomain abstractValue = this [sv];
if (!abstractValue.IsTop)
{
tw.WriteLine("{0} -> {1}", sv, abstractValue);
}
}
}
public SymValue this [SymValue[] args, TFunc function]
{
get
{
int len = args.Length;
for (int i = 0; i < len; i++)
{
args [i] = Find(args [i]);
}
SymValue candidate = FindCandidate(args, function);
if (candidate != null)
{
return(candidate);
}
candidate = FreshSymbol();
for (int i = 0; i < len; i++)
{
var edge = new MultiEdge <TFunc, TADomain> (function, i, len);
MultiEdgeMap = MultiEdgeMap.Add(args [i], edge, MultiEdgeMap [args [i], edge].Cons(candidate));
}
EqualMultiTermsMap = EqualMultiTermsMap.Add(candidate, new SymGraphTerm <TFunc> (function, args));
AddMultiEdgeUpdate(args, function);
return(candidate);
}
set
{
int len = args.Length;
for (int i = 0; i < len; i++)
{
args [i] = Find(args [i]);
}
bool isTermEqual = true;
SymGraphTerm <TFunc> term = EqualMultiTermsMap [value];
if (term.Args != null)
{
for (int i = 0; i < len; i++)
{
if (term.Args [i] != args [i])
{
isTermEqual = false;
break;
}
}
}
for (int i = 0; i < len; i++)
{
var edge = new MultiEdge <TFunc, TADomain> (function, i, len);
Sequence <SymValue> list = MultiEdgeMap [args [i], edge];
if (isTermEqual && !Sequence <SymValue> .Contains(list, value))
{
isTermEqual = false;
}
if (!isTermEqual)
{
MultiEdgeMap = MultiEdgeMap.Add(args [i], edge, list.Cons(value));
}
}
if (isTermEqual)
{
return;
}
EqualMultiTermsMap = EqualMultiTermsMap.Add(value, new SymGraphTerm <TFunc> (function, args));
AddMultiEdgeUpdate(args, function);
}
}