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1 // rmfinalepsilon.h
2 //
3 // Licensed under the Apache License, Version 2.0 (the "License");
4 // you may not use this file except in compliance with the License.
5 // You may obtain a copy of the License at
6 //
7 //      http://www.apache.org/licenses/LICENSE-2.0
8 //
9 // Unless required by applicable law or agreed to in writing, software
10 // distributed under the License is distributed on an "AS IS" BASIS,
11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12 // See the License for the specific language governing permissions and
13 // limitations under the License.
14 //
15 //
16 // \file
17 // Function to remove of final states that have epsilon only input arcs.
18 
19 #ifndef FST_LIB_RMFINALEPSILON_H__
20 #define FST_LIB_RMFINALEPSILON_H__
21 
22 #include <ext/hash_set>
23 using __gnu_cxx::hash_set;
24 
25 #include "fst/lib/connect.h"
26 #include "fst/lib/mutable-fst.h"
27 
28 namespace fst {
29 
30 template<class A>
RmFinalEpsilon(MutableFst<A> * fst)31 void RmFinalEpsilon(MutableFst<A>* fst) {
32   typedef typename A::StateId StateId;
33   typedef typename A::Weight Weight;
34 
35   // Determine the coaccesibility of states.
36   vector<bool> access;
37   vector<bool> coaccess;
38   uint64 props = 0;
39   SccVisitor<A> scc_visitor(0, &access, &coaccess, &props);
40   DfsVisit(*fst, &scc_visitor);
41 
42   // Find potential list of removable final states. These are final states
43   // that have no outgoing transitions or final states that have a
44   // non-coaccessible future. Complexity O(S)
45   hash_set<StateId> finals;
46   for (StateIterator<Fst<A> > siter(*fst); !siter.Done(); siter.Next()) {
47     StateId s = siter.Value();
48     if (fst->Final(s) != Weight::Zero()) {
49       bool future_coaccess = false;
50       for (ArcIterator<Fst<A> > aiter(*fst, s); !aiter.Done(); aiter.Next()) {
51         const A& arc = aiter.Value();
52         if (coaccess[arc.nextstate]) {
53           future_coaccess = true;
54           break;
55         }
56       }
57       if (!future_coaccess) {
58         finals.insert(s);
59       }
60     }
61   }
62 
63   // Move the final weight. Complexity O(E)
64   vector<A> arcs;
65   for (StateIterator<Fst<A> > siter(*fst); !siter.Done(); siter.Next()) {
66     StateId s = siter.Value();
67     Weight w(fst->Final(s));
68 
69     arcs.clear();
70     for (ArcIterator<Fst<A> > aiter(*fst, s); !aiter.Done(); aiter.Next()) {
71       const A& arc = aiter.Value();
72       // is next state in the list of finals
73       if (finals.find(arc.nextstate) != finals.end()) {
74         // sum up all epsilon arcs
75         if (arc.ilabel == 0 && arc.olabel == 0) {
76           w = Plus(Times(fst->Final(arc.nextstate), arc.weight), w);
77         } else {
78           arcs.push_back(arc);
79         }
80       } else {
81         arcs.push_back(arc);
82       }
83     }
84 
85     // If some arcs (epsilon arcs) were deleted, delete all
86     // arcs and add back only the non epsilon arcs
87     if (arcs.size() < fst->NumArcs(s)) {
88       fst->DeleteArcs(s);
89       fst->SetFinal(s, w);
90       for (size_t i = 0; i < arcs.size(); ++i) {
91         fst->AddArc(s, arcs[i]);
92       }
93     }
94   }
95 
96   Connect(fst);
97 }
98 
99 }
100 
101 #endif  // FST_LIB_RMFINALEPSILON_H__
102