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topsort-test.cc
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topsort-test.cc
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// festus/topsort-test.cc
//
// 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:https://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 2016 Google, Inc.
// Author: [email protected] (Martin Jansche)
//
// \file
// Unit test for generalized topological sorting of FSTs.
#include "festus/topsort.h"
#include <fst/fstlib.h>
#include <gtest/gtest.h>
#include "festus/iterator.h"
namespace {
// Clears all property bits of an FST.
// Checks that no cyclicity properties are stored.
void ClearProperties(fst::StdVectorFst *fst) {
fst->SetProperties(0, fst::kFstProperties);
EXPECT_FALSE(fst->Properties(fst::kCyclic, false));
EXPECT_FALSE(fst->Properties(fst::kAcyclic, false));
EXPECT_FALSE(fst->Properties(fst::kInitialCyclic, false));
EXPECT_FALSE(fst->Properties(fst::kInitialAcyclic, false));
EXPECT_FALSE(fst->Properties(fst::kTopSorted, false));
EXPECT_FALSE(fst->Properties(fst::kNotTopSorted, false));
}
// Checks that the FST is in generalized topologically order.
void TestInGeneralizedTopologicalOrder(const fst::StdVectorFst &fst) {
for (auto s : festus::States(fst)) {
for (const auto &arc : festus::Arcs(fst, s)) {
EXPECT_LE(s, arc.nextstate);
}
}
}
TEST(TopSortTest, Loopy) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
for (int t = 0; t <= s; ++t) {
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), t));
}
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
TestInGeneralizedTopologicalOrder(fst);
}
TEST(TopSortTest, LoopyInitialAcyclic) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
for (int t = 1; t <= s; ++t) {
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), t));
}
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
TestInGeneralizedTopologicalOrder(fst);
}
TEST(TopSortTest, LoopyInitialAcyclic2) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
if (s != 0) {
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), s));
}
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
}
TEST(TopSortTest, Acyclic) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
for (int t = 0; t < s; ++t) {
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), t));
}
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kTopSorted, true));
}
TEST(TopSortTest, Cyclic) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), s));
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), (s + 1) % kNumStates));
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), (s * 2) % kNumStates));
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_FALSE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
}
TEST(TopSortTest, CyclicInitialAcyclic) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
if (s != 0) {
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), s));
}
int t = (s + 1) % kNumStates;
if (0 == t) t = 1;
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), t));
t = (s * 2) % kNumStates;
if (0 == t) t = 1;
fst.AddArc(s, fst::StdArc(1, 1, Weight::One(), t));
}
fst.SetStart(0);
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
ClearProperties(&fst);
EXPECT_FALSE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kCyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kNotTopSorted, true));
}
TEST(TopSortTest, Empty) {
static const int kNumStates = 100;
fst::StdVectorFst fst;
typedef fst::StdVectorFst::Weight Weight;
for (int s = 0; s < kNumStates; ++s) {
fst.AddState();
fst.SetFinal(s, Weight::One());
}
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(kNumStates, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kTopSorted, true));
}
TEST(TopSortTest, Trivial) {
fst::StdVectorFst fst;
fst.AddState();
fst.SetStart(0);
EXPECT_EQ(1, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kTopSorted, true));
ClearProperties(&fst);
EXPECT_TRUE(festus::LoopyTopSort(&fst));
EXPECT_EQ(1, fst.NumStates());
EXPECT_TRUE(fst.Properties(fst::kAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kInitialAcyclic, true));
EXPECT_TRUE(fst.Properties(fst::kTopSorted, true));
}
} // namespace