1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2019 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System.Linq;
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23 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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24 |
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25 | namespace HeuristicLab.Encodings.SymbolicExpressionTreeEncoding.Tests {
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26 | [TestClass]
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27 | public class GrammarsTest {
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28 | [TestMethod]
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29 | [TestCategory("Encodings.SymbolicExpressionTree")]
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30 | [TestProperty("Time", "short")]
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31 | public void MinimumExpressionLengthTest() {
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32 | {
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33 | var grammar = CreateTestGrammar1();
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34 |
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35 | var prs = grammar.ProgramRootSymbol;
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36 | var ss = grammar.StartSymbol;
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37 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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38 |
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39 | Assert.AreEqual(8, grammar.GetMinimumExpressionLength(prs));
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40 | Assert.AreEqual(7, grammar.GetMinimumExpressionLength(ss));
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41 | Assert.AreEqual(6, grammar.GetMinimumExpressionLength(x));
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42 | }
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43 |
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44 | {
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45 | var grammar = CreateTestGrammar2();
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46 |
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47 | var prs = grammar.ProgramRootSymbol;
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48 | var ss = grammar.StartSymbol;
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49 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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50 |
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51 | Assert.AreEqual(13, grammar.GetMinimumExpressionLength(prs));
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52 | Assert.AreEqual(12, grammar.GetMinimumExpressionLength(ss));
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53 | Assert.AreEqual(11, grammar.GetMinimumExpressionLength(x));
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54 | }
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55 |
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56 | {
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57 | var grammar = CreateTestGrammar3();
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58 | var prs = grammar.ProgramRootSymbol;
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59 | var ss = grammar.StartSymbol;
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60 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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61 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(prs));
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62 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(ss));
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63 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(x));
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64 | }
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65 |
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66 | {
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67 | var grammar = CreateTestGrammar4();
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68 | var prs = grammar.ProgramRootSymbol;
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69 | var ss = grammar.StartSymbol;
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70 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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71 | var y = grammar.Symbols.First(s => s.Name == "<y>");
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72 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(prs));
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73 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(ss));
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74 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(x));
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75 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionLength(y));
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76 | }
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77 |
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78 | {
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79 | var grammar = CreateTestGrammar5();
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80 | var prs = grammar.ProgramRootSymbol;
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81 | var ss = grammar.StartSymbol;
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82 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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83 | var y = grammar.Symbols.First(s => s.Name == "<y>");
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84 | Assert.AreEqual(5, grammar.GetMinimumExpressionLength(prs));
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85 | Assert.AreEqual(4, grammar.GetMinimumExpressionLength(ss));
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86 | Assert.AreEqual(3, grammar.GetMinimumExpressionLength(x));
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87 | Assert.AreEqual(2, grammar.GetMinimumExpressionLength(y));
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88 | }
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89 |
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90 | {
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91 | var grammar = CreateTestGrammar6();
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92 | var prs = grammar.ProgramRootSymbol;
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93 | var ss = grammar.StartSymbol;
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94 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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95 | var s_ = grammar.Symbols.First(s => s.Name == "<s>");
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96 | var a = grammar.Symbols.First(s => s.Name == "<a>");
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97 | var b = grammar.Symbols.First(s => s.Name == "<b>");
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98 | var c = grammar.Symbols.First(s => s.Name == "<c>");
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99 | var d = grammar.Symbols.First(s => s.Name == "<d>");
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100 | Assert.AreEqual(4, grammar.GetMinimumExpressionLength(prs));
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101 | Assert.AreEqual(3, grammar.GetMinimumExpressionLength(ss));
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102 | Assert.AreEqual(2, grammar.GetMinimumExpressionLength(x));
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103 | Assert.AreEqual(5, grammar.GetMinimumExpressionLength(s_));
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104 | Assert.AreEqual(4, grammar.GetMinimumExpressionLength(a));
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105 | Assert.AreEqual(3, grammar.GetMinimumExpressionLength(b));
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106 | Assert.AreEqual(4, grammar.GetMinimumExpressionLength(c));
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107 | Assert.AreEqual(3, grammar.GetMinimumExpressionLength(d));
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108 | }
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109 | }
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110 |
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111 | [TestMethod]
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112 | [TestCategory("Encodings.SymbolicExpressionTree")]
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113 | [TestProperty("Time", "short")]
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114 | public void MinimumExpressionDepthTest() {
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115 | {
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116 | var grammar = CreateTestGrammar1();
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117 |
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118 | var prs = grammar.ProgramRootSymbol;
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119 | var ss = grammar.StartSymbol;
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120 | var a = grammar.Symbols.First(s => s.Name == "<a>");
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121 | var b = grammar.Symbols.First(s => s.Name == "<b>");
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122 | var c = grammar.Symbols.First(s => s.Name == "<c>");
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123 | var d = grammar.Symbols.First(s => s.Name == "<d>");
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124 | var x = grammar.Symbols.First(s => s.Name == "x");
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125 | var y = grammar.Symbols.First(s => s.Name == "y");
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126 |
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127 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(prs));
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128 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(ss));
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129 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(a));
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130 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(b));
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131 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(c));
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132 | Assert.AreEqual(2, grammar.GetMinimumExpressionDepth(d));
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133 | Assert.AreEqual(1, grammar.GetMinimumExpressionDepth(x));
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134 | Assert.AreEqual(1, grammar.GetMinimumExpressionDepth(y));
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135 | }
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136 |
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137 | {
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138 | var grammar = CreateTestGrammar2();
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139 |
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140 | var prs = grammar.ProgramRootSymbol;
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141 | var ss = grammar.StartSymbol;
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142 | var a = grammar.Symbols.First(s => s.Name == "<a>");
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143 | var b = grammar.Symbols.First(s => s.Name == "<b>");
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144 | var c = grammar.Symbols.First(s => s.Name == "<c>");
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145 | var d = grammar.Symbols.First(s => s.Name == "<d>");
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146 | var x = grammar.Symbols.First(s => s.Name == "x");
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147 | var y = grammar.Symbols.First(s => s.Name == "y");
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148 |
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149 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(prs));
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150 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(ss));
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151 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(a));
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152 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(b));
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153 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(c));
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154 | Assert.AreEqual(2, grammar.GetMinimumExpressionDepth(d));
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155 | Assert.AreEqual(1, grammar.GetMinimumExpressionDepth(x));
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156 | Assert.AreEqual(1, grammar.GetMinimumExpressionDepth(y));
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157 | }
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158 |
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159 | {
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160 | var grammar = CreateTestGrammar3();
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161 | var prs = grammar.ProgramRootSymbol;
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162 | var ss = grammar.StartSymbol;
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163 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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164 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(prs));
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165 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(ss));
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166 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(x));
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167 | }
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168 |
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169 | {
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170 | var grammar = CreateTestGrammar4();
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171 | var prs = grammar.ProgramRootSymbol;
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172 | var ss = grammar.StartSymbol;
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173 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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174 | var y = grammar.Symbols.First(s => s.Name == "<y>");
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175 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(prs));
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176 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(ss));
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177 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(x));
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178 | Assert.AreEqual(int.MaxValue, grammar.GetMinimumExpressionDepth(y));
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179 | }
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180 |
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181 | {
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182 | var grammar = CreateTestGrammar5();
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183 | var prs = grammar.ProgramRootSymbol;
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184 | var ss = grammar.StartSymbol;
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185 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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186 | var y = grammar.Symbols.First(s => s.Name == "<y>");
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187 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(prs));
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188 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(ss));
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189 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(x));
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190 | Assert.AreEqual(2, grammar.GetMinimumExpressionDepth(y));
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191 | }
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192 |
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193 | {
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194 | var grammar = CreateTestGrammar6();
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195 | var prs = grammar.ProgramRootSymbol;
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196 | var ss = grammar.StartSymbol;
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197 | var x = grammar.Symbols.First(s => s.Name == "<x>");
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198 | var s_ = grammar.Symbols.First(s => s.Name == "<s>");
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199 | var a = grammar.Symbols.First(s => s.Name == "<a>");
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200 | var b = grammar.Symbols.First(s => s.Name == "<b>");
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201 | var c = grammar.Symbols.First(s => s.Name == "<c>");
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202 | var d = grammar.Symbols.First(s => s.Name == "<d>");
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203 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(prs));
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204 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(ss));
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205 | Assert.AreEqual(2, grammar.GetMinimumExpressionDepth(x));
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206 | Assert.AreEqual(5, grammar.GetMinimumExpressionDepth(s_));
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207 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(a));
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208 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(b));
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209 | Assert.AreEqual(4, grammar.GetMinimumExpressionDepth(c));
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210 | Assert.AreEqual(3, grammar.GetMinimumExpressionDepth(d));
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211 | }
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212 | }
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213 |
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214 | private static ISymbolicExpressionGrammar CreateTestGrammar1() {
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215 | var grammar = new SimpleSymbolicExpressionGrammar();
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216 | var x = new SimpleSymbol("<x>", 1);
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217 | var z = new SimpleSymbol("<z>", 6);
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218 | var a = new SimpleSymbol("<a>", 1);
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219 | var b = new SimpleSymbol("<b>", 1);
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220 | var c = new SimpleSymbol("<c>", 1);
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221 | var d = new SimpleSymbol("<d>", 1);
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222 |
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223 | var _x = new SimpleSymbol("x", 0);
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224 | var _y = new SimpleSymbol("y", 0);
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225 |
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226 | grammar.AddSymbol(x);
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227 | grammar.AddSymbol(z);
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228 | grammar.AddSymbol(a);
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229 | grammar.AddSymbol(b);
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230 | grammar.AddSymbol(c);
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231 | grammar.AddSymbol(d);
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232 | grammar.AddSymbol(_x);
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233 | grammar.AddSymbol(_y);
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234 |
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235 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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236 | //uncommenting the line below changes the minimum expression length for the symbol <x>
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237 | grammar.AddAllowedChildSymbol(x, z);
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238 | grammar.AddAllowedChildSymbol(z, _x);
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239 | grammar.AddAllowedChildSymbol(x, a);
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240 | grammar.AddAllowedChildSymbol(a, b);
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241 | grammar.AddAllowedChildSymbol(b, c);
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242 | grammar.AddAllowedChildSymbol(c, d);
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243 | grammar.AddAllowedChildSymbol(d, _y);
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244 |
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245 | return grammar;
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246 | }
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247 |
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248 | private static ISymbolicExpressionGrammar CreateTestGrammar2() {
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249 | var grammar = new SimpleSymbolicExpressionGrammar();
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250 | var x = new SimpleSymbol("<x>", 2);
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251 | var z = new SimpleSymbol("<z>", 6);
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252 | var a = new SimpleSymbol("<a>", 1);
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253 | var b = new SimpleSymbol("<b>", 1);
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254 | var c = new SimpleSymbol("<c>", 1);
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255 | var d = new SimpleSymbol("<d>", 1);
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256 |
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257 | var _x = new SimpleSymbol("x", 0);
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258 | var _y = new SimpleSymbol("y", 0);
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259 |
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260 | grammar.AddSymbol(x);
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261 | grammar.AddSymbol(z);
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262 | grammar.AddSymbol(a);
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263 | grammar.AddSymbol(b);
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264 | grammar.AddSymbol(c);
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265 | grammar.AddSymbol(d);
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266 | grammar.AddSymbol(_x);
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267 | grammar.AddSymbol(_y);
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268 |
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269 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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270 | //uncommenting the line below changes the minimum expression length for the symbol <x>
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271 | grammar.AddAllowedChildSymbol(x, z);
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272 | grammar.AddAllowedChildSymbol(z, _x);
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273 | grammar.AddAllowedChildSymbol(x, a);
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274 | grammar.AddAllowedChildSymbol(a, b);
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275 | grammar.AddAllowedChildSymbol(b, c);
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276 | grammar.AddAllowedChildSymbol(c, d);
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277 | grammar.AddAllowedChildSymbol(d, _y);
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278 |
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279 | return grammar;
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280 | }
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281 |
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282 | private static ISymbolicExpressionGrammar CreateTestGrammar3() {
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283 | var grammar = new SimpleSymbolicExpressionGrammar();
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284 | var x = new SimpleSymbol("<x>", 1);
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285 |
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286 | grammar.AddSymbol(x);
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287 |
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288 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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289 | grammar.AddAllowedChildSymbol(x, x);
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290 | return grammar;
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291 | }
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292 |
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293 |
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294 | private static ISymbolicExpressionGrammar CreateTestGrammar4() {
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295 | var grammar = new SimpleSymbolicExpressionGrammar();
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296 | var x = new SimpleSymbol("<x>", 1);
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297 | var y = new SimpleSymbol("<y>", 1);
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298 |
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299 | grammar.AddSymbol(x);
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300 | grammar.AddSymbol(y);
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301 |
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302 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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303 | grammar.AddAllowedChildSymbol(x, x);
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304 | grammar.AddAllowedChildSymbol(x, y);
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305 | grammar.AddAllowedChildSymbol(y, x);
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306 | grammar.AddAllowedChildSymbol(y, y);
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307 | return grammar;
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308 | }
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309 |
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310 | private static ISymbolicExpressionGrammar CreateTestGrammar5() {
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311 | var grammar = new SimpleSymbolicExpressionGrammar();
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312 | var x = new SimpleSymbol("<x>", 1);
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313 | var y = new SimpleSymbol("<y>", 1);
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314 | var _x = new SimpleSymbol("x", 0);
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315 |
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316 | grammar.AddSymbol(x);
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317 | grammar.AddSymbol(y);
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318 | grammar.AddSymbol(_x);
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319 |
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320 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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321 | grammar.AddAllowedChildSymbol(x, x);
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322 | grammar.AddAllowedChildSymbol(x, y);
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323 | grammar.AddAllowedChildSymbol(y, x);
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324 | grammar.AddAllowedChildSymbol(y, y);
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325 | grammar.AddAllowedChildSymbol(y, _x);
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326 | return grammar;
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327 | }
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328 |
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329 | private static ISymbolicExpressionGrammar CreateTestGrammar6() {
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330 | var grammar = new SimpleSymbolicExpressionGrammar();
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331 | var x = new SimpleSymbol("<x>", 1);
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332 | var s = new SimpleSymbol("<s>", 1);
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333 | var a = new SimpleSymbol("<a>", 1);
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334 | var b = new SimpleSymbol("<b>", 1);
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335 | var c = new SimpleSymbol("<c>", 1);
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336 | var d = new SimpleSymbol("<d>", 1);
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337 | var e = new SimpleSymbol("<e>", 1);
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338 |
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339 | var _x = new SimpleSymbol("x", 0);
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340 | var _y = new SimpleSymbol("y", 0);
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341 |
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342 | grammar.AddSymbol(x);
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343 | grammar.AddSymbol(s);
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344 | grammar.AddSymbol(a);
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345 | grammar.AddSymbol(b);
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346 | grammar.AddSymbol(c);
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347 | grammar.AddSymbol(d);
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348 | grammar.AddSymbol(e);
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349 | grammar.AddSymbol(_x);
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350 | grammar.AddSymbol(_y);
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351 |
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352 | grammar.AddAllowedChildSymbol(grammar.StartSymbol, x);
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353 | grammar.AddAllowedChildSymbol(x, s);
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354 | grammar.AddAllowedChildSymbol(x, _x);
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355 | grammar.AddAllowedChildSymbol(s, a);
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356 | grammar.AddAllowedChildSymbol(a, b);
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357 | grammar.AddAllowedChildSymbol(a, c);
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358 | grammar.AddAllowedChildSymbol(b, x);
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359 | grammar.AddAllowedChildSymbol(c, d);
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360 | grammar.AddAllowedChildSymbol(d, e);
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361 | grammar.AddAllowedChildSymbol(e, _y);
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362 |
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363 | return grammar;
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364 | }
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365 | }
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366 | }
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