// See www.openfst.org for extensive documentation on this weighted
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// finite-state transducer library.
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//
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// Function to remove of final states that have epsilon-only input arcs.
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#ifndef FST_RMFINALEPSILON_H_
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#define FST_RMFINALEPSILON_H_
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#include <unordered_set>
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#include <vector>
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#include <fst/connect.h>
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#include <fst/mutable-fst.h>
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namespace fst {
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// Removes final states that have epsilon-only input arcs.
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template <class Arc>
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void RmFinalEpsilon(MutableFst<Arc> *fst) {
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using StateId = typename Arc::StateId;
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using Weight = typename Arc::Weight;
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// Determines the coaccesibility of states.
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std::vector<bool> access;
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std::vector<bool> coaccess;
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uint64 props = 0;
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SccVisitor<Arc> scc_visitor(nullptr, &access, &coaccess, &props);
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DfsVisit(*fst, &scc_visitor);
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// Finds potential list of removable final states. These are final states that
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// have no outgoing transitions or final states that have a non-coaccessible
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// future.
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std::unordered_set<StateId> finals;
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for (StateIterator<Fst<Arc>> siter(*fst); !siter.Done(); siter.Next()) {
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const auto s = siter.Value();
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if (fst->Final(s) != Weight::Zero()) {
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bool future_coaccess = false;
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for (ArcIterator<Fst<Arc>> aiter(*fst, s); !aiter.Done(); aiter.Next()) {
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const auto &arc = aiter.Value();
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if (coaccess[arc.nextstate]) {
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future_coaccess = true;
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break;
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}
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}
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if (!future_coaccess) finals.insert(s);
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}
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}
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// Moves the final weight.
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std::vector<Arc> arcs;
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for (StateIterator<Fst<Arc>> siter(*fst); !siter.Done(); siter.Next()) {
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const auto s = siter.Value();
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auto weight = fst->Final(s);
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arcs.clear();
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for (ArcIterator<Fst<Arc>> aiter(*fst, s); !aiter.Done(); aiter.Next()) {
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const auto &arc = aiter.Value();
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// Next state is in the list of finals.
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if (finals.find(arc.nextstate) != finals.end()) {
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// Sums up all epsilon arcs.
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if (arc.ilabel == 0 && arc.olabel == 0) {
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weight = Plus(Times(fst->Final(arc.nextstate), arc.weight), weight);
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} else {
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arcs.push_back(arc);
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}
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} else {
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arcs.push_back(arc);
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}
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}
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// If some arcs (epsilon arcs) were deleted, delete all arcs and add back
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// only the non-epsilon arcs.
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if (arcs.size() < fst->NumArcs(s)) {
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fst->DeleteArcs(s);
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fst->SetFinal(s, weight);
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for (const auto &arc : arcs) fst->AddArc(s, arc);
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}
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}
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Connect(fst);
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}
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} // namespace fst
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#endif // FST_RMFINALEPSILON_H_
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