Exemplo n.º 1
0
		void AddRelation(Entity a, Entity b, Hashtable h, bool incself) {
			ResSet r = (ResSet)h[a];
			if (r == null) {
				r = new ResSet();
				h[a] = r;
				if (incself) r.Add(a);
			}
			r.Add(b);
		}
Exemplo n.º 2
0
		public static void FindMSG(SelectableSource store, Entity node, StatementSink msg) {
			if (node.Uri != null) throw new ArgumentException("node must be anonymous");
			
			ResSet nodesSeen = new ResSet();
			ResSet nodesToAdd = new ResSet();
			
			nodesToAdd.Add(node);
			
			while (nodesToAdd.Count > 0) {
				ResSet nodes = nodesToAdd;
				nodesToAdd = new ResSet();
				
				Sink sink = new Sink(msg, nodesToAdd);
				foreach (Entity n in nodes) {
					if (nodesSeen.Contains(n)) continue;
					nodesSeen.Add(n);
					store.Select(new Statement(n, null, null, null), sink);
					store.Select(new Statement(null, n, null, null), sink);
					store.Select(new Statement(null, null, n, null), sink);
				}
			}
		}
Exemplo n.º 3
0
		private static bool MakeLeanMSG3(Store msg, ResSet predicates, StatementSink removed,
			ResSet nodesremoved, SyncPath path) {
			// The variable path has to be expanded by including the statements
			// connected to the variables on the frontier.  Statements
			// mentioning a variable node have already been considered.
			// The target of each such statement can be considered fixed
			// or variable. If a variable is considered fixed, the edge
			// must exist in the MSG substituting the variables for their
			// values.  If it's variable, it has to have at least one
			// match in the MSG but not as any of the variable nodes.
			// If all targets are considered fixed (and have matches),
			// then the variables so far (and their edges) can all be
			// removed and no more processing needs to be done.
			// There are (2^N)-1 other considerations.  For each of those,
			// the targets considered variables all become the new
			// frontier, and this is repeated. 
			
			// First, get a list of edges from the frontier that we
			// haven't considered yet.
			
			ArrayList alledges = new ArrayList();
			foreach (BNode b in path.FrontierVariables) {
				// Make sure all edges are kept because even the ones
				// to literals have to be removed when duplication is found.
				foreach (Statement s in msg.Select(new Statement(b, null, null)))
					alledges.Add(new Edge(true, b, s.Predicate, s.Object));
				foreach (Statement s in msg.Select(new Statement(null, null, b)))
					alledges.Add(new Edge(false, b, s.Predicate, s.Subject));
			}
			
			ArrayList newedges = new ArrayList();
			ResSet alltargets = new ResSet();
			ResSet fixabletargetsset = new ResSet(); // can be fixed
			ResSet variabletargetsset = new ResSet(); // must be variable
			foreach (Edge e in alledges) {
				if (path.Path.ContainsKey(e)) continue;
				path.Path[e] = e;
				
				// This checks if we can keep the target of this edge
				// fixed, given the variable mappings we have so far.
				bool isTargetFixable =
					msg.Contains(e.AsStatement().Replace(path.Mapping));

				// If the target of e is any of the following, we
				// can check immediately if the edge is supported
				// by the MSG under the variable mapping we have so far:
				//    a named node, literal, fixed node, or predicate
				//    a variable we've seen already
				// If it's not supported, this path fails.  If it is
				// supported, we're done with this edge.
				if (!(e.End is BNode)
					|| path.FixedNodes.Contains(e.End)
					|| predicates.Contains(e.End)
					|| path.VariableNodes.Contains(e.End)) {
					if (!isTargetFixable) return false;
					continue; // this edge is supported, so we can continue
				}
				
				// The target of e is a new BNode.
				// If this target is not fixable via this edge, it's
				// not fixable at all.
				
				if (!isTargetFixable) {
					fixabletargetsset.Remove(e.End);
					variabletargetsset.Add(e.End);
				}
				
				if (!alltargets.Contains(e.End)) {
					alltargets.Add(e.End);
					fixabletargetsset.Add(e.End);
				}
				
				newedges.Add(e);
			}
			
			// If all of the targets were fixable (trivially true also
			// if there simple were no new edges/targets), then we've reached
			// the end of this path.  We can immediately remove
			// the edges we've seen so far, under the variable mapping
			// we've chosen.
			if (variabletargetsset.Count == 0) {
				foreach (Edge e in path.Path.Keys) {
					Statement s = e.AsStatement();
					msg.Remove(s);
					if (removed != null) removed.Add(s);
				}
				foreach (Entity e in path.Mapping.Keys)
					nodesremoved.Add(e);
				return true;
			}
			
			// At this point, at least one target must be a variable
			// and we'll have to expand the path in that direction.
			// We might want to permute through the ways we can
			// take fixable nodes as either fixed or variable, but
			// we'll be greedy and assume everything fixable is
			// fixed and everything else is a variable.
			
			path.FixedNodes.AddRange(fixabletargetsset);
			path.VariableNodes.AddRange(variabletargetsset);

			// But we need to look at all the ways each variable target
			// can be mapped to a new value, which means intersecting
			// the possible matches for each relevant edge.
			Entity[] variables = variabletargetsset.ToEntityArray();
			ResSet[] values = new ResSet[variables.Length];
			Entity[][] values_array = new Entity[variables.Length][];
			int[] choices = new int[variables.Length];
			for (int i = 0; i < variables.Length; i++) {
				foreach (Edge e in newedges) {
					if (e.End != variables[i]) continue;
					
					// Get the possible values this edge allows
					Resource[] vr;
					if (e.Direction)
						vr = msg.SelectObjects((Entity)path.Mapping[e.Start], e.Predicate);
					else
						vr = msg.SelectSubjects(e.Predicate, (Entity)path.Mapping[e.Start]);
					
					// Filter out literals and any variables
					// on the path!  The two paths can't intersect
					// except at fixed nodes.
					ResSet v = new ResSet();
					foreach (Resource r in vr) {
						if (r is Literal) continue;
						if (path.Mapping.ContainsKey(r)) continue;
						v.Add(r);
					}
					
					// Intersect these with the values we have already.
					if (values[i] == null)
						values[i] = v;
					else
						values[i].RetainAll(v);
						
					// If no values are available for this variable,
					// we're totally done.
					if (values[i].Count == 0) return false;
				}
				
				choices[i] = values[i].Count;
				values_array[i] = values[i].ToEntityArray();
			}
			
			// Now we have to permute through the choice of values.
			// Make an array of the number of choices for each variable.
			Permutation p = new Permutation(choices);
			int[] pstate;
			while ((pstate = p.Next()) != null) {
				SyncPath newpath = new SyncPath();
				newpath.FixedNodes.AddRange(path.FixedNodes);
				newpath.VariableNodes.AddRange(path.VariableNodes);
				newpath.Mapping = (Hashtable)path.Mapping.Clone();
				newpath.Path = (Hashtable)path.Path.Clone();
				
				newpath.FrontierVariables = variabletargetsset;
				
				for (int i = 0; i < variables.Length; i++) {
					Entity value = values_array[i][pstate[i]];
					newpath.Mapping[variables[i]] = value;
					newpath.FixedNodes.Add(value);
				}

				if (MakeLeanMSG3(msg, predicates, removed,
					nodesremoved, newpath)) return true;
			}
			
			return false;
		}
Exemplo n.º 4
0
		private static void MakeLeanMSG2(Store msg, ResSet predicates, StatementSink removed,
			ResSet nodesremoved, BNode startingnode) {
			
			// Find every pair of two distinct outgoing edges from startingnode
			// with the same predicate, targeting entities only.
			
			MultiMap edges = new MultiMap();
			
			foreach (Statement s in msg.Select(new Statement(startingnode, null, null)))
				if (s.Object is Entity)
					edges.Put(new Edge(true, startingnode, s.Predicate, null), s.Object);
			foreach (Statement s in msg.Select(new Statement(null, null, startingnode)))
				edges.Put(new Edge(false, startingnode, s.Predicate, null), s.Subject);
			
			foreach (Edge e in edges.Keys) {
				// Make sure we have a distinct set of targets.
				ResSet targets_set = new ResSet();
				foreach (Entity r in edges.Get(e))
					targets_set.Add(r);
				if (targets_set.Count == 1) continue;
				
				IList targets = targets_set.ToEntityArray();
				
				// Take every pair of targets, provided
				// one is a bnode that can be a variable.
				for (int i = 0; i < targets.Count; i++) {
					if (!(targets[i] is BNode) || predicates.Contains((BNode)targets[i])) continue;
					if (nodesremoved.Contains((BNode)targets[i])) continue;
					for (int j = 0; j < targets.Count; j++) {
						if (i == j) continue;
						// Create a new synchronous-path object.
						SyncPath p = new SyncPath();
						p.FixedNodes.Add((Resource)targets[j]);
						p.FrontierVariables.Add((Resource)targets[i]);
						p.Mapping[targets[i]] = targets[j];
						p.Path[new Edge(e.Direction, e.Start, e.Predicate, (BNode)targets[i])] = p.Path;
						if (MakeLeanMSG3(msg, predicates, removed, nodesremoved, p))
							break; // the target was removed
					}
				}
			}
		}
Exemplo n.º 5
0
		private static void MakeLeanMSG(Store msg, ICollection bnodecollection, StatementSink removed) {
			// To make any graph lean, we try to eliminate duplicate
			// paths through the graph, where duplicate means we
			// take some subset of the bnodes and call them variables,
			// and we relabel them as other bnodes from the remaining
			// set (the fixed nodes).  But there are 2^N subsets of bnodes
			// we could choose as variables (N=number of bnodes), so we can't
			// reasonably iterate through them.
			
			// I'll make a simplifying assumption that bnode predicates
			// in the graph will be considered always fixed.
			// This lets us view the graph as actually a graph (with
			// nodes and edges), and then we can make the observation that
			// if variable node V is part of a subgraph that can be removed,
			// if V directly connects to fixed node F via an edge labeled P,
			// then F must connect to a fixed node G via an edge also
			// labeled P.  That is, we can start our search looking for
			// nodes that project two edges with the same label.
			
			// Also, we only want to consider contiguous 'paths' -- subsets
			// of the bnodes connected only through those nodes --
			// to see if there is another path in the MSG if we
			// map bnodes in the first path to nodes in the MSG.
			
			// So the strategy is to start at each node in the graph
			// and consider it fixed.  If it has two outgoing
			// edges with the same property and one terminates on a
			// bnode, this is the beginning of a possible pair
			// of redundant paths (the one with the bnode being
			// eliminable).
			
			// However, the path with the bnode
			// has to be incremented with all of that bnode's
			// outgoing edges.  The other path has to be
			// incremented in parallel, following the same predicates
			// to other nodes.  If that can't be done, then these
			// paths are not duplicates.  If the parallel predicates
			// terminate on the very same nodes, the bnode and its edges can
			// be removed.
			
			// From there, each of the nodes the bnode edges terminate on,
			// besides the initial node, can be considered fixed or
			// a variable.  If it's a variable it might be able to have
			// one of many possible values, but then the path has to
			// be expanded to include all of the outgoing edges for this
			// variable.
		
			// Ok, here we go.
			
			// If there is only one bnode in the MSG, then
			// there are no subgraphs to check.  That's nice.
			if (bnodecollection.Count == 1) return;
			
			// Remember which bnodes have been removed in
			// due course.
			ResSet nodesremoved = new ResSet();
			
			// Remember which nodes are predicates and can't
			// be considered variable.
			ResSet predicates = new ResSet();
			foreach (Statement s in msg.Select(Statement.All))
				predicates.Add(s.Predicate);
			
			// Start with each bnode to consider fixed.
			foreach (BNode b in bnodecollection) {
				if (nodesremoved.Contains(b)) continue;
				MakeLeanMSG2(msg, predicates, removed, nodesremoved, b);
			}
		}
Exemplo n.º 6
0
		public void Select(SelectFilter filter, StatementSink sink) {
			if (filter.Predicates == null || filter.LiteralFilters != null) {
				data.Select(filter, sink);
				return;
			}
			
			ResSet remainingPredicates = new ResSet();
			
			Entity[] subjects = filter.Subjects;
			Entity[] predicates = filter.Predicates;
			Resource[] objects = filter.Objects;
			Entity[] metas = filter.Metas;
			
			foreach (Entity p in predicates) {
				if (p == type) {
					if (objects != null) {
						// Do the subjects have any of the types listed in the objects,
						// or what things have those types?
						
						// Expand objects by the subclass closure of the objects
						data.Select(new SelectFilter(subjects, new Entity[] { p }, GetClosure(objects, subclasses), metas), sink);
						
						// Process domains and ranges.
						ResSet dom = new ResSet(), ran = new ResSet();
						Hashtable domPropToType = new Hashtable();
						Hashtable ranPropToType = new Hashtable();
						foreach (Entity e in objects) {
							Entity[] dc = GetClosure((ResSet)domainof[e], subprops);
							if (dc != null)
							foreach (Entity c in dc) {
								dom.Add(c);
								AddRelation(c, e, domPropToType, false);
							}
							
							dc = GetClosure((ResSet)rangeof[e], subprops);
							if (dc != null)
							foreach (Entity c in dc) {
								ran.Add(c);
								AddRelation(c, e, ranPropToType, false);
							}
						}
						
						// If it's in the domain of any of these properties,
						// we know its type.
						if (subjects != null) {
							if (dom.Count > 0) data.Select(new SelectFilter(subjects, dom.ToEntityArray(), null, metas), new ExpandDomRan(0, domPropToType, sink));
							if (ran.Count > 0) data.Select(new SelectFilter(null, ran.ToEntityArray(), subjects, metas), new ExpandDomRan(1, ranPropToType, sink));
						}
						
					} else if (subjects != null) {
						// What types do these subjects have?
						
						// Expand the resulting types by the closure of their superclasses
						data.Select(new SelectFilter(subjects, new Entity[] { p }, objects, metas), new Expand(superclasses, sink));
						
						// Use domains and ranges to get type info
						data.Select(new SelectFilter(subjects, null, null, metas), new Expand3(0, domains, superclasses, sink));
						data.Select(new SelectFilter(null, null, subjects, metas), new Expand3(1, ranges, superclasses, sink));

					} else {
						// What has type what?  We won't answer that question.
						data.Select(filter, sink);
					}

				} else if ((p == subClassOf || p == subPropertyOf)
					&& (metas == null || metas[0] == Statement.DefaultMeta)) {
					
					Hashtable supers = (p == subClassOf) ? superclasses : superprops;
					Hashtable subs = (p == subClassOf) ? subclasses : subprops;
					
					if (subjects != null && objects != null) {
						// Expand objects by the subs closure of the objects.
						data.Select(new SelectFilter(subjects, new Entity[] { p }, GetClosure(objects, subs), metas), sink);
					} else if (subjects != null) {
						// get all of the supers of all of the subjects
						foreach (Entity s in subjects)
							foreach (Entity o in GetClosure(new Entity[] { s }, supers))
								sink.Add(new Statement(s, p, o));
					} else if (objects != null) {
						// get all of the subs of all of the objects
						foreach (Resource o in objects) {
							if (o is Literal) continue;
							foreach (Entity s in GetClosure(new Entity[] { (Entity)o }, subs))
								sink.Add(new Statement(s, p, (Entity)o));
						}
					} else {
						// What is a subclass/property of what?  We won't answer that.
						data.Select(filter, sink);
					}
				} else {
					remainingPredicates.Add(p);
				}
			}
			
			if (remainingPredicates.Count > 0) {
				// Also query the subproperties of any property
				// being queried, but remember which subproperties
				// came from which superproperties so we can map them
				// back to the properties actually queried.  The closures
				// contain the queried properties themselves too.
				ResSet qprops = new ResSet();
				Hashtable propfrom = new Hashtable();
				foreach (Entity p in remainingPredicates) { 
					foreach (Entity sp in GetClosure(new Entity[] { p }, subprops)) {
						AddRelation(sp, p, propfrom, false);
						qprops.Add(sp);
					}
				}
				
				//data.Select(subjects, qprops.ToEntityArray(), objects, metas, new LiteralDTMap(ranges, new PredMap(propfrom, sink)));
				
				SelectFilter sf = new SelectFilter(subjects, qprops.ToEntityArray(), objects, metas);
				sf.LiteralFilters = filter.LiteralFilters;
				sf.Limit = filter.Limit;
				
				data.Select(sf, new PredMap(propfrom, sink));
			}
		}
Exemplo n.º 7
0
		static Entity[] GetClosure(Resource[] starts, Hashtable table) {
			ResSet ret = new ResSet();
			ResSet toadd = new ResSet(starts);
			while (toadd.Count > 0) {
				ResSet newadd = new ResSet();
				
				foreach (Resource e in toadd) {
					if (!(e is Entity)) continue;
					if (ret.Contains(e)) continue;
					ret.Add(e);
					if (table.ContainsKey(e))
						newadd.AddRange((ResSet)table[e]);
				}
				
				toadd.Clear();
				toadd.AddRange(newadd);
			}
			return ret.ToEntityArray();
		}
Exemplo n.º 8
0
        // The next few routines convert a set of axioms from a StatementSource
        // into a data structure of use for the algorithm, with Sequents and things.
        private static Hashtable RulesToCases(StatementSource rules)
        {
            Hashtable cases = new Hashtable();
            MemoryStore rules_store = new MemoryStore(rules);
            foreach (Statement p in rules_store) {
                if (p.Meta == Statement.DefaultMeta) {
                    if (p.Predicate == entLOGIMPLIES && p.Object is Entity) {
                        MemoryStore body = new MemoryStore();
                        MemoryStore head = new MemoryStore();

                        rules_store.Select(new Statement(null, null, null,  (Entity)p.Subject), new RemoveMeta(body));
                        rules_store.Select(new Statement(null, null, null,  (Entity)p.Object), new RemoveMeta(head));

                        // Any variables in the head not bound in the body represent existentially closed bnodes.
                        // (Euler's OWL test case does this. Wish they had used bnodes instead of vars...)
                        ResSet bodyvars = new ResSet();
                        foreach (Statement b in body) {
                            if (b.Subject is Variable) bodyvars.Add(b.Subject);
                            if (b.Predicate is Variable) bodyvars.Add(b.Predicate);
                            if (b.Object is Variable) bodyvars.Add(b.Object);
                        }
                        foreach (Entity v in head.GetEntities()) {
                            if (v is Variable && !bodyvars.Contains(v))
                                head.Replace(v, new BNode(((Variable)v).LocalName));
                        }

                        // Replace (...) lists in the body that are tied to the subjects
                        // of user predicates with callArgs objects.
                        Hashtable callArgs = new Hashtable();
                        CollectCallArgs(body, callArgs);

                        // Rules can't have more than one statement in their
                        // consequent.  The best we can do is break up
                        // the consequent into multiple rules.  (Since all head
                        // variables are bound in body, it's equivalent...?)
                        foreach (Statement h in head)
                            AddSequent(cases, new Sequent(h, body.ToArray(), callArgs));
                    } else {
                        AddSequent(cases, new Sequent(p, new Statement[0], null));
                    }
                }
            }

            return cases;
        }
Exemplo n.º 9
0
		ResSet GetQueryRes(Statement s, int i, SemWeb.Query.QueryOptions options) {
			ResSet ret = new ResSet();
			Resource r = s.GetComponent(i);
			if (r == null) return ret;

			if (!(r is Variable)) ret.Add(r);
			
			if (options.VariableKnownValues != null && r is Variable
#if !DOTNET2
				&& options.VariableKnownValues.Contains((Variable)r)) {
Exemplo n.º 10
0
		static Entity[] GetClosure(Resource[] starts, Hashtable table, bool includeStarts) {
			ResSet ret = new ResSet();
			ResSet toadd = new ResSet(starts);
			bool firstRound = true;
			while (toadd.Count > 0) {
				ResSet newadd = new ResSet();
				
				foreach (Resource e in toadd) {
					if (!(e is Entity)) continue;
					if (ret.Contains(e)) continue;
					if (!(firstRound && !includeStarts)) ret.Add(e);
					if (table.ContainsKey(e))
						newadd.AddRange((ResSet)table[e]);
				}
				
				toadd.Clear();
				toadd.AddRange(newadd);
				firstRound = false;
			}
			return ret.ToEntityArray();
		}
		public void Query(Statement[] graph, QueryOptions options, QueryResultSink sink) {
			if (options.DistinguishedVariables != null && options.DistinguishedVariables.Count == 0)
				throw new ArgumentException("options.DistinguishedVariables cannot be an empty list.");
		
			StringBuilder query = new StringBuilder();
			
			query.Append("SELECT ");

			// Get a list of variables and map them to fresh names
			#if !DOTNET2
			Hashtable variableNames = new Hashtable();
			#else
			Dictionary<Variable,string> variableNames = new Dictionary<Variable,string>();
			#endif
			Hashtable variableNames2 = new Hashtable();
			foreach (Statement s in graph) {
				for (int j = 0; j < 3; j++) {
					Variable v = s.GetComponent(j) as Variable;
					if (v == null) continue;
					if (variableNames.ContainsKey(v)) continue;
					variableNames2["v" + variableNames.Count] = v;
					variableNames[v] = "?v" + variableNames.Count;
				}
			}
			
			// What variables will we select on?
			ArrayList selectedVars = new ArrayList();
			foreach (Variable v in
				options.DistinguishedVariables != null
					? options.DistinguishedVariables
					: variableNames.Keys) {
				if (!variableNames.ContainsKey(v)) continue; // in case distinguished variables list
															 // has more than what actually appears in query
				if (selectedVars.Contains(v)) continue; // don't select more than once
				query.Append(variableNames[v]);
				query.Append(' ');
				selectedVars.Add(v);
			}
			
			if (selectedVars.Count == 0) {
				if (options.DistinguishedVariables == null)
					throw new ArgumentException("There were no variables in the query.");
				else
					throw new ArgumentException("None of the variables in the query were distinguished.");
			}
			
			// Bnodes are not allowed here -- we can't query on them.
			foreach (Statement s in graph) {
				for (int j = 0; j < 3; j++) {
					if (s.GetComponent(j) is BNode && !(s.GetComponent(j) is Variable)) {
						Variable[] varArray = (Variable[])selectedVars.ToArray(typeof(Variable));
						sink.Init(varArray);
						sink.Finished();
						return;
					}
				}
			}
			
			// Build the graph pattern.
			query.Append("WHERE {\n");
			
			ResSet firstVarUse = new ResSet();
			foreach (Statement s in graph) {
				for (int j = 0; j < 3; j++) {
					Resource r = s.GetComponent(j);
					query.Append(S(r, r is Variable && variableNames.ContainsKey((Variable)r) ? (string)variableNames[(Variable)r] : null));
					query.Append(" ");
				}
				query.Append(" . \n");
				if (options.VariableKnownValues != null) {
					for (int j = 0; j < 3; j++) {
						Resource r = s.GetComponent(j);
						if (firstVarUse.Contains(r)) continue;
						firstVarUse.Add(r);
						if (r is Variable && variableNames.ContainsKey((Variable)r) &&
						#if !DOTNET2
						options.VariableKnownValues.Contains(r)
						#else
						options.VariableKnownValues.ContainsKey((Variable)r)
						#endif
						)
							query.Append(SL(options.VariableKnownValues[(Variable)r], (string)variableNames[(Variable)r], true));
					}
				}
				// And what about meta...?
			}
			
			query.Append("}");
			
			if (options.Limit > 0) {
				query.Append(" LIMIT ");
				query.Append(options.Limit);
			}
			
			Load(query.ToString(), new QueryResultsWrapper(sink, variableNames2));
		}
Exemplo n.º 12
0
		private bool Query(int groupindex, BindingSet bindings, SelectableSource targetModel) {
			QueryStatement[] group = statements[groupindex];
			
			QueryStatement qs = group[0];
			
			int numMultiplyBound = IsMultiplyBound(qs.Subject, bindings)
				+ IsMultiplyBound(qs.Predicate, bindings)
				+ IsMultiplyBound(qs.Object, bindings);
			
			if (numMultiplyBound >= 1) {
				// If there is one or more multiply-bound variable,
				// then we need to iterate through the permutations
				// of the variables in the statement.
				
				Debug(qs.ToString() + " Something Multiply Bound");
				
				MemoryStore matches = new MemoryStore();
				targetModel.Select(
					new SelectFilter(
						(Entity[])qs.Subject.GetValues(bindings.Union, true),
						(Entity[])qs.Predicate.GetValues(bindings.Union, true),
						qs.Object.GetValues(bindings.Union, false),
						QueryMeta == null ? null : new Entity[] { QueryMeta }
						),
					new ClearMetaDupCheck(matches));
				
				Debug("\t" + matches.StatementCount + " Matches");
				
				if (matches.StatementCount == 0) {
					// This statement doesn't match any of
					// the existing bindings.  If this was
					// optional, preserve the bindings.
					return qs.Optional;
				}
				
				// We need to preserve the pairings of
				// the multiply bound variable with the matching
				// statements.
				
				ArrayList newbindings = new ArrayList();
				
				if (!qs.Optional) bindings.Union.Clear(qs);
				
				foreach (QueryResult binding in bindings.Results) {
					// Break apart the permutations in this binding.
					BindingEnumerator enumer2 = new BindingEnumerator(qs, binding);
					Entity s, p;
					Resource o;
					while (enumer2.MoveNext(out s, out p, out o)) {
						// Get the matching statements from the union query
						Statement bs = new Statement(s, p, o);
						MemoryStore innermatches = matches.Select(bs).Load();
						
						// If no matches, the binding didn't match the filter.
						if (innermatches.StatementCount == 0) {
							if (qs.Optional) {
								// Preserve the binding.
								QueryResult bc = binding.Clone();
								bc.Set(qs, bs);
								newbindings.Add(bc);
								continue;
							} else {
								// Toss out the binding.
								continue;
							}
						}
						
						for (int si = 0; si < innermatches.StatementCount; si++) {
							Statement m = innermatches[si];
							if (!MatchesFilters(m, qs, targetModel)) {
								if (qs.Optional) {
									QueryResult bc = binding.Clone();
									bc.Set(qs, bs);
									newbindings.Add(bc);
								}
								continue;
							}
							bindings.Union.Add(qs, m);
							
							QueryResult r = binding.Clone();
							r.Set(qs, m);
							r.StatementMatched[groupindex] = true;
							newbindings.Add(r);
						}
					}
				}
				
				bindings.Results = newbindings;
				
			} else {
				// There are no multiply bound variables, but if
				// there are more than two unbound variables,
				// we need to be sure to preserve the pairings
				// of the matching values.
			
				int numUnbound = IsUnbound(qs.Subject, bindings)
					+ IsUnbound(qs.Predicate, bindings)
					+ IsUnbound(qs.Object, bindings);
					
				bool sunbound = IsUnbound(qs.Subject, bindings) == 1;
				bool punbound = IsUnbound(qs.Predicate, bindings) == 1;
				bool ounbound = IsUnbound(qs.Object, bindings) == 1;
				
				Statement s = GetStatement(qs, bindings);
				
				// If we couldn't get a statement out of this,
				// then if this was not an optional filter,
				// fail.  If this was optional, don't change
				// the bindings any. 
				if (s == StatementFailed) return qs.Optional;
				
				if (numUnbound == 0) {
					Debug(qs.ToString() + " All bound");
					
					// All variables are singly bound already.
					// We can just test if the statement exists.
					if (targetModel.Contains(s)) {
						// Mark each binding that it matched this statement.
						foreach (QueryResult r in bindings.Results)
							r.StatementMatched[groupindex] = true;
					} else {
						return qs.Optional;
					}
				
				} else if (numUnbound == 1) {
					Debug(qs.ToString() + " 1 Unbound");
				
					// There is just one unbound variable.  The others
					// are not multiply bound, so they must be uniquely
					// bound (but they may not be bound in all results).
					// Run a combined select to find all possible values
					// of the unbound variable at once, and set these to
					// be the values of the variable for matching results.
					
					ResSet values = new ResSet();
					MemoryStore ms = new MemoryStore();
					targetModel.Select(s, ms);
					for (int si = 0; si < ms.StatementCount; si++) {
						Statement match = ms[si];
						if (!MatchesFilters(match, qs, targetModel)) continue;
						if (sunbound) values.Add(match.Subject);
						if (punbound) values.Add(match.Predicate);
						if (ounbound) values.Add(match.Object);
					}
					
					Debug("\t" + values.Count + " matches");
					
					if (values.Count == 0)
						return qs.Optional;
						
					int varIndex = -1;
					if (sunbound) varIndex = qs.Subject.VarIndex;
					if (punbound) varIndex = qs.Predicate.VarIndex;
					if (ounbound) varIndex = qs.Object.VarIndex;
					
					if (bindings.Results.Count == 0)
						bindings.Results.Add(new QueryResult(this));
					
					bindings.Union.Bindings[varIndex] = new ResSet();
					foreach (Resource r in values)
						bindings.Union.Bindings[varIndex].Add(r);
						
					foreach (QueryResult r in bindings.Results) {
						// Check that the bound variables are bound in this result.
						// If it is bound, it will be bound to the correct resource,
						// but it might not be bound at all if an optional statement
						// failed to match -- in which case, don't modify the binding.
						if (qs.Subject.IsVariable && !sunbound && r.Bindings[qs.Subject.VarIndex] == null) continue;
						if (qs.Predicate.IsVariable && !punbound && r.Bindings[qs.Predicate.VarIndex] == null) continue;
						if (qs.Object.IsVariable && !ounbound && r.Bindings[qs.Object.VarIndex] == null) continue;
					
						r.Bindings[varIndex] = values;
						r.StatementMatched[groupindex] = true;
					}
					
				} else {
					// There are two or more unbound variables, the
					// third variable being uniquely bound, if bound.
					// Keep track of the pairing of unbound variables.
					
					if (numUnbound == 3)
						throw new QueryExecutionException("Query would select all statements in the store.");
					
					Debug(qs.ToString() + " 2 or 3 Unbound");
				
					if (bindings.Results.Count == 0)
						bindings.Results.Add(new QueryResult(this));
						
					ArrayList newbindings = new ArrayList();
					MemoryStore ms = new MemoryStore();
					targetModel.Select(s, ms);
					for (int si = 0; si < ms.StatementCount; si++) {
						Statement match = ms[si];
						if (!MatchesFilters(match, qs, targetModel)) continue;
						bindings.Union.Add(qs, match);
						foreach (QueryResult r in bindings.Results) {
							if (numUnbound == 2) {
								// Check that the bound variable is bound in this result.
								// If it is bound, it will be bound to the correct resource,
								// but it might not be bound at all if an optional statement
								// failed to match -- in which case, preserve the binding if
								// this was an optional statement.
								bool matches = true;
								if (qs.Subject.IsVariable && !sunbound && r.Bindings[qs.Subject.VarIndex] == null) matches = false;
								if (qs.Predicate.IsVariable && !punbound && r.Bindings[qs.Predicate.VarIndex] == null) matches = false;
								if (qs.Object.IsVariable && !ounbound && r.Bindings[qs.Object.VarIndex] == null) matches = false;
								if (!matches) {
									if (qs.Optional)
										newbindings.Add(r);
									continue;
								}
							}
						
							QueryResult r2 = r.Clone();
							r2.Add(qs, match);
							r2.StatementMatched[groupindex] = true;
							newbindings.Add(r2);
						}
					}
					if (newbindings.Count == 0)
						return qs.Optional; // don't clear out bindings if this was optional and it failed
					bindings.Results = newbindings;
				}
			}
			
			return true;
		}