1 // weight-tester.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 // Copyright 2005-2010 Google, Inc. 16 // Author: riley (at) google.com (Michael Riley) 17 // 18 // \file 19 // Utility class for regression testing of Fst weights. 20 21 #ifndef FST_TEST_WEIGHT_TESTER_H_ 22 #define FST_TEST_WEIGHT_TESTER_H_ 23 24 #include <iostream> 25 #include <sstream> 26 27 #include <fst/random-weight.h> 28 29 namespace fst { 30 31 // This class tests a variety of identities and properties that must 32 // hold for the Weight class to be well-defined. It calls function object 33 // WEIGHT_GENERATOR to select weights that are used in the tests. 34 template<class Weight, class WeightGenerator> 35 class WeightTester { 36 public: 37 WeightTester(WeightGenerator generator) : weight_generator_(generator) {} 38 39 void Test(int iterations, bool test_division = true) { 40 for (int i = 0; i < iterations; ++i) { 41 // Selects the test weights. 42 Weight w1 = weight_generator_(); 43 Weight w2 = weight_generator_(); 44 Weight w3 = weight_generator_(); 45 46 VLOG(1) << "weight type = " << Weight::Type(); 47 VLOG(1) << "w1 = " << w1; 48 VLOG(1) << "w2 = " << w2; 49 VLOG(1) << "w3 = " << w3; 50 51 TestSemiring(w1, w2, w3); 52 if (test_division) 53 TestDivision(w1, w2); 54 TestReverse(w1, w2); 55 TestEquality(w1, w2, w3); 56 TestIO(w1); 57 TestCopy(w1); 58 } 59 } 60 61 private: 62 // Note in the tests below we use ApproxEqual rather than == and add 63 // kDelta to inequalities where the weights might be inexact. 64 65 // Tests (Plus, Times, Zero, One) defines a commutative semiring. 66 void TestSemiring(Weight w1, Weight w2, Weight w3) { 67 // Checks that the operations are closed. 68 CHECK(Plus(w1, w2).Member()); 69 CHECK(Times(w1, w2).Member()); 70 71 // Checks that the operations are associative. 72 CHECK(ApproxEqual(Plus(w1, Plus(w2, w3)), Plus(Plus(w1, w2), w3))); 73 CHECK(ApproxEqual(Times(w1, Times(w2, w3)), Times(Times(w1, w2), w3))); 74 75 // Checks the identity elements. 76 CHECK(Plus(w1, Weight::Zero()) == w1); 77 CHECK(Plus(Weight::Zero(), w1) == w1); 78 CHECK(Times(w1, Weight::One()) == w1); 79 CHECK(Times(Weight::One(), w1) == w1); 80 81 // Check the no weight element. 82 CHECK(!Weight::NoWeight().Member()); 83 CHECK(!Plus(w1, Weight::NoWeight()).Member()); 84 CHECK(!Plus(Weight::NoWeight(), w1).Member()); 85 CHECK(!Times(w1, Weight::NoWeight()).Member()); 86 CHECK(!Times(Weight::NoWeight(), w1).Member()); 87 88 // Checks that the operations commute. 89 CHECK(ApproxEqual(Plus(w1, w2), Plus(w2, w1))); 90 if (Weight::Properties() & kCommutative) 91 CHECK(ApproxEqual(Times(w1, w2), Times(w2, w1))); 92 93 // Checks Zero() is the annihilator. 94 CHECK(Times(w1, Weight::Zero()) == Weight::Zero()); 95 CHECK(Times(Weight::Zero(), w1) == Weight::Zero()); 96 97 // Check Power(w, 0) is Weight::One() 98 CHECK(Power(w1, 0) == Weight::One()); 99 100 // Check Power(w, 1) is w 101 CHECK(Power(w1, 1) == w1); 102 103 // Check Power(w, 3) is Times(w, Times(w, w)) 104 CHECK(Power(w1, 3) == Times(w1, Times(w1, w1))); 105 106 // Checks distributivity. 107 if (Weight::Properties() & kLeftSemiring) 108 CHECK(ApproxEqual(Times(w1, Plus(w2, w3)), 109 Plus(Times(w1, w2), Times(w1, w3)))); 110 if (Weight::Properties() & kRightSemiring) 111 CHECK(ApproxEqual(Times(Plus(w1, w2), w3), 112 Plus(Times(w1, w3), Times(w2, w3)))); 113 114 if (Weight::Properties() & kIdempotent) 115 CHECK(Plus(w1, w1) == w1); 116 117 if (Weight::Properties() & kPath) 118 CHECK(Plus(w1, w2) == w1 || Plus(w1, w2) == w2); 119 120 // Ensure weights form a left or right semiring. 121 CHECK(Weight::Properties() & (kLeftSemiring | kRightSemiring)); 122 123 // Check when Times() is commutative that it is marked as a semiring. 124 if (Weight::Properties() & kCommutative) 125 CHECK(Weight::Properties() & kSemiring); 126 } 127 128 // Tests division operation. 129 void TestDivision(Weight w1, Weight w2) { 130 Weight p = Times(w1, w2); 131 132 if (Weight::Properties() & kLeftSemiring) { 133 Weight d = Divide(p, w1, DIVIDE_LEFT); 134 if (d.Member()) 135 CHECK(ApproxEqual(p, Times(w1, d))); 136 CHECK(!Divide(w1, Weight::NoWeight(), DIVIDE_LEFT).Member()); 137 CHECK(!Divide(Weight::NoWeight(), w1, DIVIDE_LEFT).Member()); 138 } 139 140 if (Weight::Properties() & kRightSemiring) { 141 Weight d = Divide(p, w2, DIVIDE_RIGHT); 142 if (d.Member()) 143 CHECK(ApproxEqual(p, Times(d, w2))); 144 CHECK(!Divide(w1, Weight::NoWeight(), DIVIDE_RIGHT).Member()); 145 CHECK(!Divide(Weight::NoWeight(), w1, DIVIDE_RIGHT).Member()); 146 } 147 148 if (Weight::Properties() & kCommutative) { 149 Weight d = Divide(p, w1, DIVIDE_RIGHT); 150 if (d.Member()) 151 CHECK(ApproxEqual(p, Times(d, w1))); 152 } 153 } 154 155 // Tests reverse operation. 156 void TestReverse(Weight w1, Weight w2) { 157 typedef typename Weight::ReverseWeight ReverseWeight; 158 159 ReverseWeight rw1 = w1.Reverse(); 160 ReverseWeight rw2 = w2.Reverse(); 161 162 CHECK(rw1.Reverse() == w1); 163 CHECK(Plus(w1, w2).Reverse() == Plus(rw1, rw2)); 164 CHECK(Times(w1, w2).Reverse() == Times(rw2, rw1)); 165 } 166 167 // Tests == is an equivalence relation. 168 void TestEquality(Weight w1, Weight w2, Weight w3) { 169 // Checks reflexivity. 170 CHECK(w1 == w1); 171 172 // Checks symmetry. 173 CHECK((w1 == w2) == (w2 == w1)); 174 175 // Checks transitivity. 176 if (w1 == w2 && w2 == w3) 177 CHECK(w1 == w3); 178 } 179 180 // Tests binary serialization and textual I/O. 181 void TestIO(Weight w) { 182 // Tests binary I/O 183 { 184 ostringstream os; 185 w.Write(os); 186 os.flush(); 187 istringstream is(os.str()); 188 Weight v; 189 v.Read(is); 190 CHECK_EQ(w, v); 191 } 192 193 // Tests textual I/O. 194 { 195 ostringstream os; 196 os << w; 197 istringstream is(os.str()); 198 Weight v(Weight::One()); 199 is >> v; 200 CHECK(ApproxEqual(w, v)); 201 } 202 } 203 204 // Tests copy constructor and assignment operator 205 void TestCopy(Weight w) { 206 Weight x = w; 207 CHECK(w == x); 208 209 x = Weight(w); 210 CHECK(w == x); 211 212 x.operator=(x); 213 CHECK(w == x); 214 215 } 216 217 // Generates weights used in testing. 218 WeightGenerator weight_generator_; 219 220 DISALLOW_COPY_AND_ASSIGN(WeightTester); 221 }; 222 223 } // namespace fst 224 225 #endif // FST_TEST_WEIGHT_TESTER_H_ 226