/* * [The "BSD license"] * Copyright (c) 2010 Terence Parr * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. The name of the author may not be used to endorse or promote products * derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ package org.antlr.analysis; /** A tree node for tracking the call chains for NFAs that invoke * other NFAs. These trees only have to point upwards to their parents * so we can walk back up the tree (i.e., pop stuff off the stack). We * never walk from stack down down through the children. * * Each alt predicted in a decision has its own context tree, * representing all possible return nodes. The initial stack has * EOF ("$") in it. So, for m alternative productions, the lookahead * DFA will have m NFAContext trees. * * To "push" a new context, just do "new NFAContext(context-parent, state)" * which will add itself to the parent. The root is NFAContext(null, null). * * The complete context for an NFA configuration is the set of invoking states * on the path from this node thru the parent pointers to the root. */ public class NFAContext { /** This is similar to Bermudez's m constant in his LAR(m) where * you bound the stack so your states don't explode. The main difference * is that I bound only recursion on the stack, not the simple stack size. * This looser constraint will let the conversion roam further to find * lookahead to resolve a decision. * * Bermudez's m operates differently as it is his LR stack depth * I'm pretty sure it therefore includes all stack symbols. Here I * restrict the size of an NFA configuration to be finite because a * stack component may mention the same NFA invocation state at * most m times. Hence, the number of DFA states will not grow forever. * With recursive rules like * * e : '(' e ')' | INT ; * * you could chase your tail forever if somebody said "s : e '.' | e ';' ;" * This constant prevents new states from being created after a stack gets * "too big". Actually (12/14/2007) I realize that this example is * trapped by the non-LL(*) detector for recursion in > 1 alt. Here is * an example that trips stack overflow: * * s : a Y | A A A A A X ; // force recursion past m=4 * a : A a | Q; * * If that were: * * s : a Y | A+ X ; * * it could loop forever. * * Imagine doing a depth-first search on the e DFA...as you chase an input * sequence you can recurse to same rule such as e above. You'd have a * chain of ((((. When you get do some point, you have to give up. The * states in the chain will have longer and longer NFA config stacks. * Must limit size. * * max=0 implies you cannot ever jump to another rule during closure. * max=1 implies you can make as many calls as you want--you just * can't ever visit a state that is on your rule invocation stack. * I.e., you cannot ever recurse. * max=2 implies you are able to recurse once (i.e., call a rule twice * from the same place). * * This tracks recursion to a rule specific to an invocation site! * It does not detect multiple calls to a rule from different rule * invocation states. We are guaranteed to terminate because the * stack can only grow as big as the number of NFA states * max. * * I noticed that the Java grammar didn't work with max=1, but did with * max=4. Let's set to 4. Recursion is sometimes needed to resolve some * fixed lookahead decisions. */ public static int MAX_SAME_RULE_INVOCATIONS_PER_NFA_CONFIG_STACK = 4; public NFAContext parent; /** The NFA state that invoked another rule's start state is recorded * on the rule invocation context stack. */ public NFAState invokingState; /** Computing the hashCode is very expensive and closureBusy() * uses it to track when it's seen a state|ctx before to avoid * infinite loops. As we add new contexts, record the hash code * as this.invokingState + parent.cachedHashCode. Avoids walking * up the tree for every hashCode(). Note that this caching works * because a context is a monotonically growing tree of context nodes * and nothing on the stack is ever modified...ctx just grows * or shrinks. */ protected int cachedHashCode; public NFAContext(NFAContext parent, NFAState invokingState) { this.parent = parent; this.invokingState = invokingState; if ( invokingState!=null ) { this.cachedHashCode = invokingState.stateNumber; } if ( parent!=null ) { this.cachedHashCode += parent.cachedHashCode; } } /** Two contexts are equals() if both have * same call stack; walk upwards to the root. * Recall that the root sentinel node has no invokingStates and no parent. * Note that you may be comparing contexts in different alt trees. * * The hashCode is now cheap as it's computed once upon each context * push on the stack. Use it to make equals() more efficient. */ public boolean equals(Object o) { NFAContext other = ((NFAContext)o); if ( this.cachedHashCode != other.cachedHashCode ) { return false; // can't be same if hash is different } if ( this==other ) { return true; } // System.out.println("comparing "+this+" with "+other); NFAContext sp = this; while ( sp.parent!=null && other.parent!=null ) { if ( sp.invokingState != other.invokingState ) { return false; } sp = sp.parent; other = other.parent; } if ( !(sp.parent==null && other.parent==null) ) { return false; // both pointers must be at their roots after walk } return true; } /** Two contexts conflict() if they are equals() or one is a stack suffix * of the other. For example, contexts [21 12 $] and [21 9 $] do not * conflict, but [21 $] and [21 12 $] do conflict. Note that I should * probably not show the $ in this case. There is a dummy node for each * stack that just means empty; $ is a marker that's all. * * This is used in relation to checking conflicts associated with a * single NFA state's configurations within a single DFA state. * If there are configurations s and t within a DFA state such that * s.state=t.state && s.alt != t.alt && s.ctx conflicts t.ctx then * the DFA state predicts more than a single alt--it's nondeterministic. * Two contexts conflict if they are the same or if one is a suffix * of the other. * * When comparing contexts, if one context has a stack and the other * does not then they should be considered the same context. The only * way for an NFA state p to have an empty context and a nonempty context * is the case when closure falls off end of rule without a call stack * and re-enters the rule with a context. This resolves the issue I * discussed with Sriram Srinivasan Feb 28, 2005 about not terminating * fast enough upon nondeterminism. */ public boolean conflictsWith(NFAContext other) { return this.suffix(other); // || this.equals(other); } /** [$] suffix any context * [21 $] suffix [21 12 $] * [21 12 $] suffix [21 $] * [21 18 $] suffix [21 18 12 9 $] * [21 18 12 9 $] suffix [21 18 $] * [21 12 $] not suffix [21 9 $] * * Example "[21 $] suffix [21 12 $]" means: rule r invoked current rule * from state 21. Rule s invoked rule r from state 12 which then invoked * current rule also via state 21. While the context prior to state 21 * is different, the fact that both contexts emanate from state 21 implies * that they are now going to track perfectly together. Once they * converged on state 21, there is no way they can separate. In other * words, the prior stack state is not consulted when computing where to * go in the closure operation. ?$ and ??$ are considered the same stack. * If ? is popped off then $ and ?$ remain; they are now an empty and * nonempty context comparison. So, if one stack is a suffix of * another, then it will still degenerate to the simple empty stack * comparison case. */ protected boolean suffix(NFAContext other) { NFAContext sp = this; // if one of the contexts is empty, it never enters loop and returns true while ( sp.parent!=null && other.parent!=null ) { if ( sp.invokingState != other.invokingState ) { return false; } sp = sp.parent; other = other.parent; } //System.out.println("suffix"); return true; } /** Walk upwards to the root of the call stack context looking * for a particular invoking state. public boolean contains(int state) { NFAContext sp = this; int n = 0; // track recursive invocations of state System.out.println("this.context is "+sp); while ( sp.parent!=null ) { if ( sp.invokingState.stateNumber == state ) { return true; } sp = sp.parent; } return false; } */ /** Given an NFA state number, how many times has the NFA-to-DFA * conversion pushed that state on the stack? In other words, * the NFA state must be a rule invocation state and this method * tells you how many times you've been to this state. If none, * then you have not called the target rule from this state before * (though another NFA state could have called that target rule). * If n=1, then you've been to this state before during this * DFA construction and are going to invoke that rule again. * * Note that many NFA states can invoke rule r, but we ignore recursion * unless you hit the same rule invocation state again. */ public int recursionDepthEmanatingFromState(int state) { NFAContext sp = this; int n = 0; // track recursive invocations of target from this state //System.out.println("this.context is "+sp); while ( sp.parent!=null ) { if ( sp.invokingState.stateNumber == state ) { n++; } sp = sp.parent; } return n; } public int hashCode() { return cachedHashCode; /* int h = 0; NFAContext sp = this; while ( sp.parent!=null ) { h += sp.invokingState.getStateNumber(); sp = sp.parent; } return h; */ } /** A context is empty if there is no parent; meaning nobody pushed * anything on the call stack. */ public boolean isEmpty() { return parent==null; } public String toString() { StringBuffer buf = new StringBuffer(); NFAContext sp = this; buf.append("["); while ( sp.parent!=null ) { buf.append(sp.invokingState.stateNumber); buf.append(" "); sp = sp.parent; } buf.append("$]"); return buf.toString(); } }