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-// randequivalent.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: allauzen@google.com (Cyril Allauzen)
-//
-// \file
-// Tests if two FSTS are equivalent by checking if random
-// strings from one FST are transduced the same by both FSTs.
-
-#ifndef FST_RANDEQUIVALENT_H__
-#define FST_RANDEQUIVALENT_H__
-
-#include <fst/arcsort.h>
-#include <fst/compose.h>
-#include <fst/project.h>
-#include <fst/randgen.h>
-#include <fst/shortest-distance.h>
-#include <fst/vector-fst.h>
-
-
-namespace fst {
-
-// Test if two FSTs are equivalent by randomly generating 'num_paths'
-// paths (as specified by the RandGenOptions 'opts') in these FSTs.
-//
-// For each randomly generated path, the algorithm computes for each
-// of the two FSTs the sum of the weights of all the successful paths
-// sharing the same input and output labels as the considered randomly
-// generated path and checks that these two values are within
-// 'delta'. Returns optional error value (when FLAGS_error_fatal = false).
-template<class Arc, class ArcSelector>
-bool RandEquivalent(const Fst<Arc> &fst1, const Fst<Arc> &fst2,
- ssize_t num_paths, float delta,
- const RandGenOptions<ArcSelector> &opts,
- bool *error = 0) {
- typedef typename Arc::Weight Weight;
- if (error) *error = false;
-
- // Check that the symbol table are compatible
- if (!CompatSymbols(fst1.InputSymbols(), fst2.InputSymbols()) ||
- !CompatSymbols(fst1.OutputSymbols(), fst2.OutputSymbols())) {
- FSTERROR() << "RandEquivalent: input/output symbol tables of 1st "
- << "argument do not match input/output symbol tables of 2nd "
- << "argument";
- if (error) *error = true;
- return false;
- }
-
- ILabelCompare<Arc> icomp;
- OLabelCompare<Arc> ocomp;
- VectorFst<Arc> sfst1(fst1);
- VectorFst<Arc> sfst2(fst2);
- Connect(&sfst1);
- Connect(&sfst2);
- ArcSort(&sfst1, icomp);
- ArcSort(&sfst2, icomp);
-
- bool ret = true;
- for (ssize_t n = 0; n < num_paths; ++n) {
- VectorFst<Arc> path;
- const Fst<Arc> &fst = rand() % 2 ? sfst1 : sfst2;
- RandGen(fst, &path, opts);
-
- VectorFst<Arc> ipath(path);
- VectorFst<Arc> opath(path);
- Project(&ipath, PROJECT_INPUT);
- Project(&opath, PROJECT_OUTPUT);
-
- VectorFst<Arc> cfst1, pfst1;
- Compose(ipath, sfst1, &cfst1);
- ArcSort(&cfst1, ocomp);
- Compose(cfst1, opath, &pfst1);
- // Give up if there are epsilon cycles in a non-idempotent semiring
- if (!(Weight::Properties() & kIdempotent) &&
- pfst1.Properties(kCyclic, true))
- continue;
- Weight sum1 = ShortestDistance(pfst1);
-
- VectorFst<Arc> cfst2, pfst2;
- Compose(ipath, sfst2, &cfst2);
- ArcSort(&cfst2, ocomp);
- Compose(cfst2, opath, &pfst2);
- // Give up if there are epsilon cycles in a non-idempotent semiring
- if (!(Weight::Properties() & kIdempotent) &&
- pfst2.Properties(kCyclic, true))
- continue;
- Weight sum2 = ShortestDistance(pfst2);
-
- if (!ApproxEqual(sum1, sum2, delta)) {
- VLOG(1) << "Sum1 = " << sum1;
- VLOG(1) << "Sum2 = " << sum2;
- ret = false;
- break;
- }
- }
-
- if (fst1.Properties(kError, false) || fst2.Properties(kError, false)) {
- if (error) *error = true;
- return false;
- }
-
- return ret;
-}
-
-
-// Test if two FSTs are equivalent by randomly generating 'num_paths' paths
-// of length no more than 'path_length' using the seed 'seed' in these FSTs.
-// Returns optional error value (when FLAGS_error_fatal = false).
-template <class Arc>
-bool RandEquivalent(const Fst<Arc> &fst1, const Fst<Arc> &fst2,
- ssize_t num_paths, float delta = kDelta,
- int seed = time(0), int path_length = INT_MAX,
- bool *error = 0) {
- UniformArcSelector<Arc> uniform_selector(seed);
- RandGenOptions< UniformArcSelector<Arc> >
- opts(uniform_selector, path_length);
- return RandEquivalent(fst1, fst2, num_paths, delta, opts, error);
-}
-
-
-} // namespace fst
-
-#endif // FST_LIB_RANDEQUIVALENT_H__