/// <summary> /// LR(1)的Closure操作。 /// 补全一个状态。 /// </summary> /// <param name="grammar"></param> /// <param name="state"></param> /// <returns></returns> static SmallerLR1State Closure(this RegulationList grammar, SmallerLR1State state, Dictionary <TreeNodeType, bool> nullableDict = null, FIRSTCollection firstCollection = null) { if (nullableDict == null) { grammar.GetNullableDict(out nullableDict); } if (firstCollection == null) { grammar.GetFirstCollection(out firstCollection, nullableDict); } Queue <LR1Item> queue = new Queue <LR1Item>(); foreach (var item in state) { queue.Enqueue(item); } while (queue.Count > 0) { LR1Item item = queue.Dequeue(); TreeNodeType node = item.GetNodeNext2Dot(); if (node == null || node.IsLeave) { continue; } List <TreeNodeType> betaZ = item.GetBetaZ(); FIRST first = grammar.GetFirst(firstCollection, nullableDict, betaZ); List <Regulation> regulations = grammar.GetRegulations(node); foreach (var regulation in regulations) { foreach (var value in first.Values) { LR1Item newItem = new LR1Item(regulation, 0, value); if (state.TryInsert(newItem)) { queue.Enqueue(newItem); } } } } return(state); }
/// <summary> /// 用LR(1)分析法计算分析表 /// </summary> /// <param name="grammar"></param> /// <returns></returns> public static void GetLR1ParsingMap(this RegulationList grammar, out LRParsingMap map, out LR1StateCollection stateCollection, out LR1EdgeCollection edgeCollection, TextWriter originalOut) { // 给文法添加一个辅助的开始产生式 S' -> S $ // 如何添加一个外来的结点类型?用Enum是无法做到的。 var decoratedS = new TreeNodeType("__S2", "S'", "<S'>"); var decoratedEnd = TreeNodeType.endOfTokenListNode; var decoratedRegulation = new Regulation( decoratedS, grammar[0].Left, decoratedEnd); var decoratedGrammar = new RegulationList(decoratedRegulation); decoratedGrammar.AddRange(grammar); // 初始化T为{ Closure(S' -> S $) } var firstItem = new LR1Item(decoratedGrammar[0], 0, decoratedEnd); var firstState = new SmallerLR1State(firstItem); Dictionary <TreeNodeType, bool> nullableDict; decoratedGrammar.GetNullableDict(out nullableDict); FIRSTCollection firstCollection; decoratedGrammar.GetFirstCollection(out firstCollection, nullableDict); firstState = decoratedGrammar.Closure(firstState, nullableDict, firstCollection); stateCollection = new LR1StateCollection(firstState); edgeCollection = new LR1EdgeCollection(stateCollection); var queue = new Queue <SmallerLR1State>(); queue.Enqueue(firstState); int lastOutputLength = 0; int stateListCount = 1; int queueCount = 1; while (queue.Count > 0) { SmallerLR1State fromState = queue.Dequeue(); queueCount--; int itemIndex = 0; int groupCount = fromState.GroupCount; foreach (var group in fromState.GetGroups()) { { TextWriter currentWriter = Console.Out; if (Console.Out != originalOut) { Console.SetOut(originalOut); } for (int i = 0; i < lastOutputLength; i++) { Console.Write('\u0008'); } string output = string.Format("Calculating LR(1) State List: {0} <-- {1}, working on group {2}/{3} ...", stateListCount, queueCount, 1 + itemIndex++, groupCount); Console.Write(output); lastOutputLength = output.Length; Console.SetOut(currentWriter); } TreeNodeType x = group.Item1.GetNodeNext2Dot(); if (x == null || x == decoratedEnd) { continue; } SmallerLR1State toState = decoratedGrammar.Goto(fromState, x, nullableDict, firstCollection); if (stateCollection.TryInsert(toState))//融入组织之中吧 { int index = stateCollection.IndexOf(toState); toState = stateCollection[index]; queue.Enqueue(toState); stateListCount++; queueCount++; var edge = new LR1Edge(fromState, x, toState); edgeCollection.TryInsert(edge); } else { int index = stateCollection.IndexOf(toState); toState = stateCollection[index]; var edge = new LR1Edge(fromState, x, toState); edgeCollection.TryInsert(edge); } } } { TextWriter currentWriter = Console.Out; if (Console.Out != originalOut) { Console.SetOut(originalOut); } Console.WriteLine(); Console.SetOut(currentWriter); } map = new LRParsingMap(); foreach (var edge in edgeCollection) { if (edge.X.IsLeave) { int stateId = edge.From.ParsingMapIndex + 1; // stateCollection.IndexOf(edge.From) + 1; int gotoId = edge.To.ParsingMapIndex + 1; //stateCollection.IndexOf(edge.To) + 1 map.SetAction(stateId, edge.X, new LR1ShiftInAction(gotoId)); } else { int stateId = edge.From.ParsingMapIndex + 1; // stateCollection.IndexOf(edge.From) + 1; int gotoId = edge.To.ParsingMapIndex + 1; //stateCollection.IndexOf(edge.To) + 1 map.SetAction(stateId, edge.X, new LR1GotoAction(gotoId)); } } // TODO: not implemented var endItem = new LR1Item(decoratedRegulation, 1, decoratedEnd); foreach (var state in stateCollection) { if (state.Contains(endItem)) { int stateId = state.ParsingMapIndex + 1;// stateCollection.IndexOf(state) + 1; map.SetAction(stateId, decoratedEnd, new LR1AceptAction()); } foreach (var LR1Item in state) { if (LR1Item.GetNodeNext2Dot() == null) { int stateId = state.ParsingMapIndex + 1;// stateCollection.IndexOf(state) + 1; map.SetAction(stateId, LR1Item.LookAheadNodeType, new LR1ReducitonAction(decoratedGrammar.IndexOf(LR1Item.Regulation))); } } } }