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diff --git a/src/include/fst/lexicographic-weight.h b/src/include/fst/lexicographic-weight.h
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+// lexicographic-weight.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: rws@google.com (Richard Sproat)
+//
+// \file
+// Lexicographic weight set and associated semiring operation definitions.
+//
+// A lexicographic weight is a sequence of weights, each of which must have the
+// path property and Times() must be (strongly) cancellative
+// (for all a,b,c != Zero(): Times(c, a) = Times(c, b) => a = b,
+// Times(a, c) = Times(b, c) => a = b).
+// The + operation on two weights a and b is the lexicographically
+// prior of a and b.
+
+#ifndef FST_LIB_LEXICOGRAPHIC_WEIGHT_H__
+#define FST_LIB_LEXICOGRAPHIC_WEIGHT_H__
+
+#include <string>
+
+#include <fst/pair-weight.h>
+#include <fst/weight.h>
+
+
+namespace fst {
+
+template<class W1, class W2>
+class LexicographicWeight : public PairWeight<W1, W2> {
+ public:
+ using PairWeight<W1, W2>::Value1;
+ using PairWeight<W1, W2>::Value2;
+ using PairWeight<W1, W2>::SetValue1;
+ using PairWeight<W1, W2>::SetValue2;
+ using PairWeight<W1, W2>::Zero;
+ using PairWeight<W1, W2>::One;
+ using PairWeight<W1, W2>::NoWeight;
+ using PairWeight<W1, W2>::Quantize;
+ using PairWeight<W1, W2>::Reverse;
+
+ typedef LexicographicWeight<typename W1::ReverseWeight,
+ typename W2::ReverseWeight>
+ ReverseWeight;
+
+ LexicographicWeight() {}
+
+ LexicographicWeight(const PairWeight<W1, W2>& w)
+ : PairWeight<W1, W2>(w) {}
+
+ LexicographicWeight(W1 w1, W2 w2) : PairWeight<W1, W2>(w1, w2) {
+ uint64 props = kPath;
+ if ((W1::Properties() & props) != props) {
+ FSTERROR() << "LexicographicWeight must "
+ << "have the path property: " << W1::Type();
+ SetValue1(W1::NoWeight());
+ }
+ if ((W2::Properties() & props) != props) {
+ FSTERROR() << "LexicographicWeight must "
+ << "have the path property: " << W2::Type();
+ SetValue2(W2::NoWeight());
+ }
+ }
+
+ static const LexicographicWeight<W1, W2> &Zero() {
+ static const LexicographicWeight<W1, W2> zero(PairWeight<W1, W2>::Zero());
+ return zero;
+ }
+
+ static const LexicographicWeight<W1, W2> &One() {
+ static const LexicographicWeight<W1, W2> one(PairWeight<W1, W2>::One());
+ return one;
+ }
+
+ static const LexicographicWeight<W1, W2> &NoWeight() {
+ static const LexicographicWeight<W1, W2> no_weight(
+ PairWeight<W1, W2>::NoWeight());
+ return no_weight;
+ }
+
+ static const string &Type() {
+ static const string type = W1::Type() + "_LT_" + W2::Type();
+ return type;
+ }
+
+ bool Member() const {
+ if (!Value1().Member() || !Value2().Member()) return false;
+ // Lexicographic weights cannot mix zeroes and non-zeroes.
+ if (Value1() == W1::Zero() && Value2() == W2::Zero()) return true;
+ if (Value1() != W1::Zero() && Value2() != W2::Zero()) return true;
+ return false;
+ }
+
+ LexicographicWeight<W1, W2> Quantize(float delta = kDelta) const {
+ return PairWeight<W1, W2>::Quantize();
+ }
+
+ ReverseWeight Reverse() const {
+ return PairWeight<W1, W2>::Reverse();
+ }
+
+ static uint64 Properties() {
+ uint64 props1 = W1::Properties();
+ uint64 props2 = W2::Properties();
+ return props1 & props2 & (kLeftSemiring | kRightSemiring | kPath |
+ kIdempotent | kCommutative);
+ }
+};
+
+template <class W1, class W2>
+inline LexicographicWeight<W1, W2> Plus(const LexicographicWeight<W1, W2> &w,
+ const LexicographicWeight<W1, W2> &v) {
+ if (!w.Member() || !v.Member())
+ return LexicographicWeight<W1, W2>::NoWeight();
+ NaturalLess<W1> less1;
+ NaturalLess<W2> less2;
+ if (less1(w.Value1(), v.Value1())) return w;
+ if (less1(v.Value1(), w.Value1())) return v;
+ if (less2(w.Value2(), v.Value2())) return w;
+ if (less2(v.Value2(), w.Value2())) return v;
+ return w;
+}
+
+template <class W1, class W2>
+inline LexicographicWeight<W1, W2> Times(const LexicographicWeight<W1, W2> &w,
+ const LexicographicWeight<W1, W2> &v) {
+ return LexicographicWeight<W1, W2>(Times(w.Value1(), v.Value1()),
+ Times(w.Value2(), v.Value2()));
+}
+
+template <class W1, class W2>
+inline LexicographicWeight<W1, W2> Divide(const LexicographicWeight<W1, W2> &w,
+ const LexicographicWeight<W1, W2> &v,
+ DivideType typ = DIVIDE_ANY) {
+ return LexicographicWeight<W1, W2>(Divide(w.Value1(), v.Value1(), typ),
+ Divide(w.Value2(), v.Value2(), typ));
+}
+
+} // namespace fst
+
+#endif // FST_LIB_LEXICOGRAPHIC_WEIGHT_H__