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// replace-util.h


// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
// Copyright 2005-2010 Google, Inc.
// Author: riley@google.com (Michael Riley)
//

// \file
// Utility classes for the recursive replacement of Fsts (RTNs).

#ifndef FST_LIB_REPLACE_UTIL_H__
#define FST_LIB_REPLACE_UTIL_H__

#include <vector>
using std::vector;
#include <tr1/unordered_map>
using std::tr1::unordered_map;
using std::tr1::unordered_multimap;
#include <tr1/unordered_set>
using std::tr1::unordered_set;
using std::tr1::unordered_multiset;
#include <map>

#include <fst/connect.h>
#include <fst/mutable-fst.h>
#include <fst/topsort.h>


namespace fst {

template <class Arc>
void Replace(const vector<pair<typename Arc::Label, const Fst<Arc>* > >&,
             MutableFst<Arc> *, typename Arc::Label, bool);


// Utility class for the recursive replacement of Fsts (RTNs). The
// user provides a set of Label, Fst pairs at construction. These are
// used by methods for testing cyclic dependencies and connectedness
// and doing RTN connection and specific Fst replacement by label or
// for various optimization properties. The modified results can be
// obtained with the GetFstPairs() or GetMutableFstPairs() methods.
template <class Arc>
class ReplaceUtil {
 public:
  typedef typename Arc::Label Label;
  typedef typename Arc::Weight Weight;
  typedef typename Arc::StateId StateId;

  typedef pair<Label, const Fst<Arc>*> FstPair;
  typedef pair<Label, MutableFst<Arc>*> MutableFstPair;
  typedef unordered_map<Label, Label> NonTerminalHash;

  // Constructs from mutable Fsts; Fst ownership given to ReplaceUtil.
  ReplaceUtil(const vector<MutableFstPair> &fst_pairs,
              Label root_label, bool epsilon_on_replace = false);

  // Constructs from Fsts; Fst ownership retained by caller.
  ReplaceUtil(const vector<FstPair> &fst_pairs,
              Label root_label, bool epsilon_on_replace = false);

  // Constructs from ReplaceFst internals; ownership retained by caller.
  ReplaceUtil(const vector<const Fst<Arc> *> &fst_array,
              const NonTerminalHash &nonterminal_hash, Label root_fst,
              bool epsilon_on_replace = false);

  ~ReplaceUtil() {
    for (Label i = 0; i < fst_array_.size(); ++i)
      delete fst_array_[i];
  }

  // True if the non-terminal dependencies are cyclic. Cyclic
  // dependencies will result in an unexpandable replace fst.
  bool CyclicDependencies() const {
    GetDependencies(false);
    return depprops_ & kCyclic;
  }

  // Returns true if no useless Fsts, states or transitions.
  bool Connected() const {
    GetDependencies(false);
    uint64 props = kAccessible | kCoAccessible;
    for (Label i = 0; i < fst_array_.size(); ++i) {
      if (!fst_array_[i])
        continue;
      if (fst_array_[i]->Properties(props, true) != props || !depaccess_[i])
        return false;
    }
    return true;
  }

  // Removes useless Fsts, states and transitions.
  void Connect();

  // Replaces Fsts specified by labels.
  // Does nothing if there are cyclic dependencies.
  void ReplaceLabels(const vector<Label> &labels);

  // Replaces Fsts that have at most 'nstates' states, 'narcs' arcs and
  // 'nnonterm' non-terminals (updating in reverse dependency order).
  // Does nothing if there are cyclic dependencies.
  void ReplaceBySize(size_t nstates, size_t narcs, size_t nnonterms);

  // Replaces singleton Fsts.
  // Does nothing if there are cyclic dependencies.
  void ReplaceTrivial() { ReplaceBySize(2, 1, 1); }

  // Replaces non-terminals that have at most 'ninstances' instances
  // (updating in dependency order).
  // Does nothing if there are cyclic dependencies.
  void ReplaceByInstances(size_t ninstances);

  // Replaces non-terminals that have only one instance.
  // Does nothing if there are cyclic dependencies.
  void ReplaceUnique() { ReplaceByInstances(1); }

  // Returns Label, Fst pairs; Fst ownership retained by ReplaceUtil.
  void GetFstPairs(vector<FstPair> *fst_pairs);

  // Returns Label, MutableFst pairs; Fst ownership given to caller.
  void GetMutableFstPairs(vector<MutableFstPair> *mutable_fst_pairs);

 private:
  // Per Fst statistics
  struct ReplaceStats {
    StateId nstates;    // # of states
    StateId nfinal;     // # of final states
    size_t narcs;       // # of arcs
    Label nnonterms;    // # of non-terminals in Fst
    size_t nref;        // # of non-terminal instances referring to this Fst

    // # of times that ith Fst references this Fst
    map<Label, size_t> inref;
    // # of times that this Fst references the ith Fst
    map<Label, size_t> outref;

    ReplaceStats()
        : nstates(0),
          nfinal(0),
          narcs(0),
          nnonterms(0),
          nref(0) {}
  };

  // Check Mutable Fsts exist o.w. create them.
  void CheckMutableFsts();

  // Computes the dependency graph of the replace Fsts.
  // If 'stats' is true, dependency statistics computed as well.
  void GetDependencies(bool stats) const;

  void ClearDependencies() const {
    depfst_.DeleteStates();
    stats_.clear();
    depprops_ = 0;
    have_stats_ = false;
  }

  // Get topological order of dependencies. Returns false with cyclic input.
  bool GetTopOrder(const Fst<Arc> &fst, vector<Label> *toporder) const;

  // Update statistics assuming that jth Fst will be replaced.
  void UpdateStats(Label j);

  Label root_label_;                              // root non-terminal
  Label root_fst_;                                // root Fst ID
  bool epsilon_on_replace_;                       // see Replace()
  vector<const Fst<Arc> *> fst_array_;            // Fst per ID
  vector<MutableFst<Arc> *> mutable_fst_array_;   // MutableFst per ID
  vector<Label> nonterminal_array_;               // Fst ID to non-terminal
  NonTerminalHash nonterminal_hash_;              // non-terminal to Fst ID
  mutable VectorFst<Arc> depfst_;                 // Fst ID dependencies
  mutable vector<bool> depaccess_;                // Fst ID accessibility
  mutable uint64 depprops_;                       // dependency Fst props
  mutable bool have_stats_;                       // have dependency statistics
  mutable vector<ReplaceStats> stats_;            // Per Fst statistics
  DISALLOW_COPY_AND_ASSIGN(ReplaceUtil);
};

template <class Arc>
ReplaceUtil<Arc>::ReplaceUtil(
    const vector<MutableFstPair> &fst_pairs,
    Label root_label, bool epsilon_on_replace)
    : root_label_(root_label),
      epsilon_on_replace_(epsilon_on_replace),
      depprops_(0),
      have_stats_(false) {
  fst_array_.push_back(0);
  mutable_fst_array_.push_back(0);
  nonterminal_array_.push_back(kNoLabel);
  for (Label i = 0; i < fst_pairs.size(); ++i) {
    Label label = fst_pairs[i].first;
    MutableFst<Arc> *fst = fst_pairs[i].second;
    nonterminal_hash_[label] = fst_array_.size();
    nonterminal_array_.push_back(label);
    fst_array_.push_back(fst);
    mutable_fst_array_.push_back(fst);
  }
  root_fst_ = nonterminal_hash_[root_label_];
  if (!root_fst_)
    FSTERROR() << "ReplaceUtil: no root FST for label: " << root_label_;
}

template <class Arc>
ReplaceUtil<Arc>::ReplaceUtil(
    const vector<FstPair> &fst_pairs,
    Label root_label, bool epsilon_on_replace)
    : root_label_(root_label),
      epsilon_on_replace_(epsilon_on_replace),
      depprops_(0),
      have_stats_(false) {
  fst_array_.push_back(0);
  nonterminal_array_.push_back(kNoLabel);
  for (Label i = 0; i < fst_pairs.size(); ++i) {
    Label label = fst_pairs[i].first;
    const Fst<Arc> *fst = fst_pairs[i].