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// See www.openfst.org for extensive documentation on this weighted
// finite-state transducer library.
//
// Functions and classes to invert an FST.

#ifndef FST_LIB_INVERT_H_
#define FST_LIB_INVERT_H_

#include <fst/arc-map.h>
#include <fst/mutable-fst.h>


namespace fst {

// Mapper to implement inversion of an arc.
template <class A>
struct InvertMapper {
  InvertMapper() {}

  A operator()(const A &arc) {
    return A(arc.olabel, arc.ilabel, arc.weight, arc.nextstate);
  }

  MapFinalAction FinalAction() const { return MAP_NO_SUPERFINAL; }

  MapSymbolsAction InputSymbolsAction() const { return MAP_CLEAR_SYMBOLS; }

  MapSymbolsAction OutputSymbolsAction() const { return MAP_CLEAR_SYMBOLS; }

  uint64 Properties(uint64 props) { return InvertProperties(props); }
};

// Inverts the transduction corresponding to an FST by exchanging the
// FST's input and output labels. This version modifies its input.
//
// Complexity:
// - Time: O(V + E)
// - Space: O(1)
// where V = # of states and E = # of arcs.
template <class Arc>
inline void Invert(MutableFst<Arc> *fst) {
  SymbolTable *input = fst->InputSymbols() ? fst->InputSymbols()->Copy() : 0;
  SymbolTable *output = fst->OutputSymbols() ? fst->OutputSymbols()->Copy() : 0;
  ArcMap(fst, InvertMapper<Arc>());
  fst->SetInputSymbols(output);
  fst->SetOutputSymbols(input);
  delete input;
  delete output;
}

// Inverts the transduction corresponding to an FST by exchanging the
// FST's input and output labels.  This version is a delayed Fst.
//
// Complexity:
// - Time: O(v + e)
// - Space: O(1)
// where v = # of states visited, e = # of arcs visited. Constant
// time and to visit an input state or arc is assumed and exclusive
// of caching.
template <class A>
class InvertFst : public ArcMapFst<A, A, InvertMapper<A>> {
 public:
  typedef A Arc;
  typedef InvertMapper<A> C;
  typedef ArcMapFstImpl<A, A, InvertMapper<A>> Impl;

  explicit InvertFst(const Fst<A> &fst) : ArcMapFst<A, A, C>(fst, C()) {
    GetMutableImpl()->SetOutputSymbols(fst.InputSymbols());
    GetMutableImpl()->SetInputSymbols(fst.OutputSymbols());
  }

  // See Fst<>::Copy() for doc.
  InvertFst(const InvertFst<A> &fst, bool safe = false)
      : ArcMapFst<A, A, C>(fst, safe) {}

  // Get a copy of this InvertFst. See Fst<>::Copy() for further doc.
  InvertFst<A> *Copy(bool safe = false) const override {
    return new InvertFst(*this, safe);
  }

 private:
  using ImplToFst<Impl>::GetMutableImpl;
};

// Specialization for InvertFst.
template <class A>
class StateIterator<InvertFst<A>>
    : public StateIterator<ArcMapFst<A, A, InvertMapper<A>> > {
 public:
  explicit StateIterator(const InvertFst<A> &fst)
      : StateIterator<ArcMapFst<A, A, InvertMapper<A>> >(fst) {}
};

// Specialization for InvertFst.
template <class A>
class ArcIterator<InvertFst<A>>
    : public ArcIterator<ArcMapFst<A, A, InvertMapper<A>> > {
 public:
  ArcIterator(const InvertFst<A> &fst, typename A::StateId s)
      : ArcIterator<ArcMapFst<A, A, InvertMapper<A>> >(fst, s) {}
};

// Useful alias when using StdArc.
typedef InvertFst<StdArc> StdInvertFst;

}  // namespace fst

#endif  // FST_LIB_INVERT_H_