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      1 //===-- Automaton.h - Support for driving TableGen-produced DFAs ----------===//
      2 //
      3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
      4 // See https://llvm.org/LICENSE.txt for license information.
      5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
      6 //
      7 //===----------------------------------------------------------------------===//
      8 //
      9 // This file implements class that drive and introspect deterministic finite-
     10 // state automata (DFAs) as generated by TableGen's -gen-automata backend.
     11 //
     12 // For a description of how to define an automaton, see
     13 // include/llvm/TableGen/Automaton.td.
     14 //
     15 // One important detail is that these deterministic automata are created from
     16 // (potentially) nondeterministic definitions. Therefore a unique sequence of
     17 // input symbols will produce one path through the DFA but multiple paths
     18 // through the original NFA. An automaton by default only returns "accepted" or
     19 // "not accepted", but frequently we want to analyze what NFA path was taken.
     20 // Finding a path through the NFA states that results in a DFA state can help
     21 // answer *what* the solution to a problem was, not just that there exists a
     22 // solution.
     23 //
     24 //===----------------------------------------------------------------------===//
     25 
     26 #ifndef LLVM_SUPPORT_AUTOMATON_H
     27 #define LLVM_SUPPORT_AUTOMATON_H
     28 
     29 #include "llvm/ADT/ArrayRef.h"
     30 #include "llvm/ADT/DenseMap.h"
     31 #include "llvm/ADT/SmallVector.h"
     32 #include "llvm/Support/Allocator.h"
     33 #include <deque>
     34 #include <map>
     35 #include <memory>
     36 #include <unordered_map>
     37 #include <vector>
     38 
     39 namespace llvm {
     40 
     41 using NfaPath = SmallVector<uint64_t, 4>;
     42 
     43 /// Forward define the pair type used by the automata transition info tables.
     44 ///
     45 /// Experimental results with large tables have shown a significant (multiple
     46 /// orders of magnitude) parsing speedup by using a custom struct here with a
     47 /// trivial constructor rather than std::pair<uint64_t, uint64_t>.
     48 struct NfaStatePair {
     49   uint64_t FromDfaState, ToDfaState;
     50 
     51   bool operator<(const NfaStatePair &Other) const {
     52     return std::make_tuple(FromDfaState, ToDfaState) <
     53            std::make_tuple(Other.FromDfaState, Other.ToDfaState);
     54   }
     55 };
     56 
     57 namespace internal {
     58 /// The internal class that maintains all possible paths through an NFA based
     59 /// on a path through the DFA.
     60 class NfaTranscriber {
     61 private:
     62   /// Cached transition table. This is a table of NfaStatePairs that contains
     63   /// zero-terminated sequences pointed to by DFA transitions.
     64   ArrayRef<NfaStatePair> TransitionInfo;
     65 
     66   /// A simple linked-list of traversed states that can have a shared tail. The
     67   /// traversed path is stored in reverse order with the latest state as the
     68   /// head.
     69   struct PathSegment {
     70     uint64_t State;
     71     PathSegment *Tail;
     72   };
     73 
     74   /// We allocate segment objects frequently. Allocate them upfront and dispose
     75   /// at the end of a traversal rather than hammering the system allocator.
     76   SpecificBumpPtrAllocator<PathSegment> Allocator;
     77 
     78   /// Heads of each tracked path. These are not ordered.
     79   std::deque<PathSegment *> Heads;
     80 
     81   /// The returned paths. This is populated during getPaths.
     82   SmallVector<NfaPath, 4> Paths;
     83 
     84   /// Create a new segment and return it.
     85   PathSegment *makePathSegment(uint64_t State, PathSegment *Tail) {
     86     PathSegment *P = Allocator.Allocate();
     87     *P = {State, Tail};
     88     return P;
     89   }
     90 
     91   /// Pairs defines a sequence of possible NFA transitions for a single DFA
     92   /// transition.
     93   void transition(ArrayRef<NfaStatePair> Pairs) {
     94     // Iterate over all existing heads. We will mutate the Heads deque during
     95     // iteration.
     96     unsigned NumHeads = Heads.size();
     97     for (unsigned I = 0; I < NumHeads; ++I) {
     98       PathSegment *Head = Heads[I];
     99       // The sequence of pairs is sorted. Select the set of pairs that
    100       // transition from the current head state.
    101       auto PI = lower_bound(Pairs, NfaStatePair{Head->State, 0ULL});
    102       auto PE = upper_bound(Pairs, NfaStatePair{Head->State, INT64_MAX});
    103       // For every transition from the current head state, add a new path
    104       // segment.
    105       for (; PI != PE; ++PI)
    106         if (PI->FromDfaState == Head->State)
    107           Heads.push_back(makePathSegment(PI->ToDfaState, Head));
    108     }
    109     // Now we've iterated over all the initial heads and added new ones,
    110     // dispose of the original heads.
    111     Heads.erase(Heads.begin(), std::next(Heads.begin(), NumHeads));
    112   }
    113 
    114 public:
    115   NfaTranscriber(ArrayRef<NfaStatePair> TransitionInfo)
    116       : TransitionInfo(TransitionInfo) {
    117     reset();
    118   }
    119 
    120   ArrayRef<NfaStatePair> getTransitionInfo() const {
    121     return TransitionInfo;
    122   }
    123 
    124   void reset() {
    125     Paths.clear();
    126     Heads.clear();
    127     Allocator.DestroyAll();
    128     // The initial NFA state is 0.
    129     Heads.push_back(makePathSegment(0ULL, nullptr));
    130   }
    131 
    132   void transition(unsigned TransitionInfoIdx) {
    133     unsigned EndIdx = TransitionInfoIdx;
    134     while (TransitionInfo[EndIdx].ToDfaState != 0)
    135       ++EndIdx;
    136     ArrayRef<NfaStatePair> Pairs(&TransitionInfo[TransitionInfoIdx],
    137                                  EndIdx - TransitionInfoIdx);
    138     transition(Pairs);
    139   }
    140 
    141   ArrayRef<NfaPath> getPaths() {
    142     Paths.clear();
    143     for (auto *Head : Heads) {
    144       NfaPath P;
    145       while (Head->State != 0) {
    146         P.push_back(Head->State);
    147         Head = Head->Tail;
    148       }
    149       std::reverse(P.begin(), P.end());
    150       Paths.push_back(std::move(P));
    151     }
    152     return Paths;
    153   }
    154 };
    155 } // namespace internal
    156 
    157 /// A deterministic finite-state automaton. The automaton is defined in
    158 /// TableGen; this object drives an automaton defined by tblgen-emitted tables.
    159 ///
    160 /// An automaton accepts a sequence of input tokens ("actions"). This class is
    161 /// templated on the type of these actions.
    162 template <typename ActionT> class Automaton {
    163   /// Map from {State, Action} to {NewState, TransitionInfoIdx}.
    164   /// TransitionInfoIdx is used by the DfaTranscriber to analyze the transition.
    165   /// FIXME: This uses a std::map because ActionT can be a pair type including
    166   /// an enum. In particular DenseMapInfo<ActionT> must be defined to use
    167   /// DenseMap here.
    168   /// This is a shared_ptr to allow very quick copy-construction of Automata; this
    169   /// state is immutable after construction so this is safe.
    170   using MapTy = std::map<std::pair<uint64_t, ActionT>, std::pair<uint64_t, unsigned>>;
    171   std::shared_ptr<MapTy> M;
    172   /// An optional transcription object. This uses much more state than simply
    173   /// traversing the DFA for acceptance, so is heap allocated.
    174   std::shared_ptr<internal::NfaTranscriber> Transcriber;
    175   /// The initial DFA state is 1.
    176   uint64_t State = 1;
    177   /// True if we should transcribe and false if not (even if Transcriber is defined).
    178   bool Transcribe;
    179 
    180 public:
    181   /// Create an automaton.
    182   /// \param Transitions The Transitions table as created by TableGen. Note that
    183   ///                    because the action type differs per automaton, the
    184   ///                    table type is templated as ArrayRef<InfoT>.
    185   /// \param TranscriptionTable The TransitionInfo table as created by TableGen.
    186   ///
    187   /// Providing the TranscriptionTable argument as non-empty will enable the
    188   /// use of transcription, which analyzes the possible paths in the original
    189   /// NFA taken by the DFA. NOTE: This is substantially more work than simply
    190   /// driving the DFA, so unless you require the getPaths() method leave this
    191   /// empty.
    192   template <typename InfoT>
    193   Automaton(ArrayRef<InfoT> Transitions,
    194             ArrayRef<NfaStatePair> TranscriptionTable = {}) {
    195     if (!TranscriptionTable.empty())
    196       Transcriber =
    197           std::make_shared<internal::NfaTranscriber>(TranscriptionTable);
    198     Transcribe = Transcriber != nullptr;
    199     M = std::make_shared<MapTy>();
    200     for (const auto &I : Transitions)
    201       // Greedily read and cache the transition table.
    202       M->emplace(std::make_pair(I.FromDfaState, I.Action),
    203                  std::make_pair(I.ToDfaState, I.InfoIdx));
    204   }
    205   Automaton(const Automaton &Other)
    206       : M(Other.M), State(Other.State), Transcribe(Other.Transcribe) {
    207     // Transcriber is not thread-safe, so create a new instance on copy.
    208     if (Other.Transcriber)
    209       Transcriber = std::make_shared<internal::NfaTranscriber>(
    210           Other.Transcriber->getTransitionInfo());
    211   }
    212 
    213   /// Reset the automaton to its initial state.
    214   void reset() {
    215     State = 1;
    216     if (Transcriber)
    217       Transcriber->reset();
    218   }
    219 
    220   /// Enable or disable transcription. Transcription is only available if
    221   /// TranscriptionTable was provided to the constructor.
    222   void enableTranscription(bool Enable = true) {
    223     assert(Transcriber &&
    224            "Transcription is only available if TranscriptionTable was provided "
    225            "to the Automaton constructor");
    226     Transcribe = Enable;
    227   }
    228 
    229   /// Transition the automaton based on input symbol A. Return true if the
    230   /// automaton transitioned to a valid state, false if the automaton
    231   /// transitioned to an invalid state.
    232   ///
    233   /// If this function returns false, all methods are undefined until reset() is
    234   /// called.
    235   bool add(const ActionT &A) {
    236     auto I = M->find({State, A});
    237     if (I == M->end())
    238       return false;
    239     if (Transcriber && Transcribe)
    240       Transcriber->transition(I->second.second);
    241     State = I->second.first;
    242     return true;
    243   }
    244 
    245   /// Return true if the automaton can be transitioned based on input symbol A.
    246   bool canAdd(const ActionT &A) {
    247     auto I = M->find({State, A});
    248     return I != M->end();
    249   }
    250 
    251   /// Obtain a set of possible paths through the input nondeterministic
    252   /// automaton that could be obtained from the sequence of input actions
    253   /// presented to this deterministic automaton.
    254   ArrayRef<NfaPath> getNfaPaths() {
    255     assert(Transcriber && Transcribe &&
    256            "Can only obtain NFA paths if transcribing!");
    257     return Transcriber->getPaths();
    258   }
    259 };
    260 
    261 } // namespace llvm
    262 
    263 #endif // LLVM_SUPPORT_AUTOMATON_H
    264