1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2012 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;
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23 | using System.Collections.Generic;
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24 | using HeuristicLab.Common;
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25 | using HeuristicLab.Core;
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26 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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27 | using HeuristicLab.Optimization;
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28 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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29 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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30 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic.Tests {
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31 |
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32 | [TestClass()]
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33 | public class SymbolicDataAnalysisExpressionTreeSimplifierTest {
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34 | [TestMethod]
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35 | public void SimplifierAxiomsTest() {
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36 | SymbolicExpressionImporter importer = new SymbolicExpressionImporter();
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37 | SymbolicDataAnalysisExpressionTreeSimplifier simplifier = new SymbolicDataAnalysisExpressionTreeSimplifier();
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38 | SymbolicExpressionTreeStringFormatter formatter = new SymbolicExpressionTreeStringFormatter();
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39 | #region single argument arithmetics
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40 | {
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41 | var actualTree = simplifier.Simplify(importer.Import("(+ 1.0)"));
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42 | var expectedTree = importer.Import("1.0");
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43 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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44 | }
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45 | {
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46 | var actualTree = simplifier.Simplify(importer.Import("(+ (variable 2.0 a))"));
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47 | var expectedTree = importer.Import("(variable 2.0 a)");
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48 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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49 | }
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50 | {
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51 | var actualTree = simplifier.Simplify(importer.Import("(- 1.0)"));
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52 | var expectedTree = importer.Import("-1.0");
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53 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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54 | }
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55 | {
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56 | var actualTree = simplifier.Simplify(importer.Import("(- (variable 2.0 a))"));
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57 | var expectedTree = importer.Import("(variable -2.0 a)");
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58 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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59 | }
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60 | {
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61 | var actualTree = simplifier.Simplify(importer.Import("(* 2.0)"));
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62 | var expectedTree = importer.Import("2.0");
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63 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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64 | }
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65 | {
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66 | var actualTree = simplifier.Simplify(importer.Import("(* (variable 2.0 a))"));
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67 | var expectedTree = importer.Import("(variable 2.0 a)");
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68 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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69 | }
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70 | {
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71 | var actualTree = simplifier.Simplify(importer.Import("(/ 2.0)"));
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72 | var expectedTree = importer.Import("0.5");
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73 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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74 | }
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75 | {
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76 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a))"));
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77 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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78 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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79 | }
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80 | #endregion
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81 | #region aggregation of constants into factors
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82 | {
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83 | var actualTree = simplifier.Simplify(importer.Import("(* 2.0 (variable 2.0 a))"));
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84 | var expectedTree = importer.Import("(variable 4.0 a)");
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85 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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86 | }
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87 | {
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88 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a) 2.0)"));
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89 | var expectedTree = importer.Import("(variable 1.0 a)");
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90 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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91 | }
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92 | {
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93 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a) (* 2.0 2.0))"));
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94 | var expectedTree = importer.Import("(variable 0.5 a)");
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95 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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96 | }
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97 | #endregion
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98 | #region constant and variable folding
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99 | {
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100 | var actualTree = simplifier.Simplify(importer.Import("(+ 1.0 2.0)"));
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101 | var expectedTree = importer.Import("3.0");
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102 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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103 | }
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104 | {
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105 | var actualTree = simplifier.Simplify(importer.Import("(+ (variable 2.0 a) (variable 2.0 a))"));
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106 | var expectedTree = importer.Import("(variable 4.0 a)");
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107 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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108 | }
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109 | {
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110 | var actualTree = simplifier.Simplify(importer.Import("(- (variable 2.0 a) (variable 1.0 a))"));
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111 | var expectedTree = importer.Import("(variable 1.0 a)");
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112 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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113 | }
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114 | {
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115 | var actualTree = simplifier.Simplify(importer.Import("(* (variable 2.0 a) (variable 2.0 a))"));
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116 | var expectedTree = importer.Import("(* (* (variable 1.0 a) (variable 1.0 a)) 4.0)");
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117 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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118 | }
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119 | {
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120 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 1.0 a) (variable 2.0 a))"));
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121 | var expectedTree = importer.Import("0.5");
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122 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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123 | }
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124 | #endregion
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125 | #region logarithm rules
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126 | {
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127 | // cancellation
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128 | var actualTree = simplifier.Simplify(importer.Import("(log (exp (variable 2.0 a)))"));
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129 | var expectedTree = importer.Import("(variable 2.0 a)");
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130 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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131 | }
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132 | {
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133 | // must not transform logs in this way as we do not know wether both variables are positive
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134 | var actualTree = simplifier.Simplify(importer.Import("(log (* (variable 1.0 a) (variable 1.0 b)))"));
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135 | var expectedTree = importer.Import("(log (* (variable 1.0 a) (variable 1.0 b)))");
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136 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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137 | }
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138 | {
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139 | // must not transform logs in this way as we do not know wether both variables are positive
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140 | var actualTree = simplifier.Simplify(importer.Import("(log (/ (variable 1.0 a) (variable 1.0 b)))"));
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141 | var expectedTree = importer.Import("(log (/ (variable 1.0 a) (variable 1.0 b)))");
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142 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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143 | }
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144 | #endregion
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145 | #region exponentiation rules
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146 | {
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147 | // cancellation
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148 | var actualTree = simplifier.Simplify(importer.Import("(exp (log (variable 2.0 a)))"));
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149 | var expectedTree = importer.Import("(variable 2.0 a)");
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150 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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151 | }
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152 | {
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153 | // exp transformation
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154 | var actualTree = simplifier.Simplify(importer.Import("(exp (+ (variable 2.0 a) (variable 3.0 b)))"));
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155 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (variable 3.0 b)))");
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156 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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157 | }
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158 | {
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159 | // exp transformation
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160 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (variable 3.0 b)))"));
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161 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (variable -3.0 b)))");
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162 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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163 | }
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164 | {
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165 | // exp transformation
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166 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (* (variable 3.0 b) (variable 4.0 c))))"));
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167 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (* (variable 1.0 b) (variable 1.0 c) -12.0)))");
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168 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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169 | }
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170 | {
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171 | // exp transformation
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172 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (* (variable 3.0 b) (cos (variable 4.0 c)))))"));
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173 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (* (variable 1.0 b) (cos (variable 4.0 c)) -3.0)))");
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174 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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175 | }
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176 | #endregion
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177 | #region power rules
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178 | {
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179 | // cancellation
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180 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) 0.0)"));
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181 | var expectedTree = importer.Import("1.0");
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182 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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183 | }
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184 | {
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185 | // fixed point
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186 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) 1.0)"));
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187 | var expectedTree = importer.Import("(variable 2.0 a)");
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188 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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189 | }
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190 | {
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191 | // inversion fixed point
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192 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) -1.0)"));
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193 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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194 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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195 | }
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196 | {
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197 | // inversion
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198 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) -2.0)"));
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199 | var expectedTree = importer.Import("(/ 1.0 (pow (variable 2.0 a) 2.0))");
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200 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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201 | }
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202 | {
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203 | // constant folding
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204 | var actualTree = simplifier.Simplify(importer.Import("(pow 3.0 2.0)"));
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205 | var expectedTree = importer.Import("9.0");
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206 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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207 | }
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208 | #endregion
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209 | #region root rules
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210 | {
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211 | // cancellation
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212 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) 0.0)"));
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213 | var expectedTree = importer.Import("1.0");
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214 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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215 | }
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216 | {
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217 | // fixed point
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218 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) 1.0)"));
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219 | var expectedTree = importer.Import("(variable 2.0 a)");
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220 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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221 | }
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222 | {
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223 | // inversion fixed point
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224 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) -1.0)"));
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225 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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226 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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227 | }
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228 | {
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229 | // inversion
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230 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) -2.0)"));
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231 | var expectedTree = importer.Import("(/ 1.0 (root (variable 2.0 a) 2.0))");
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232 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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233 | }
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234 | {
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235 | // constant folding
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236 | var actualTree = simplifier.Simplify(importer.Import("(root 9.0 2.0)"));
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237 | var expectedTree = importer.Import("3.0");
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238 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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239 | }
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240 | #endregion
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241 | #region boolean operations
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242 | {
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243 | // always true and
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244 | var actualTree = simplifier.Simplify(importer.Import("(and 1.0 2.0)"));
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245 | var expectedTree = importer.Import("1.0");
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246 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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247 | }
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248 | {
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249 | // always false and
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250 | var actualTree = simplifier.Simplify(importer.Import("(and 1.0 -2.0)"));
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251 | var expectedTree = importer.Import("-1.0");
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252 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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253 | }
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254 | {
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255 | // always true or
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256 | var actualTree = simplifier.Simplify(importer.Import("(or -1.0 2.0)"));
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257 | var expectedTree = importer.Import("1.0");
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258 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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259 | }
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260 | {
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261 | // always false or
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262 | var actualTree = simplifier.Simplify(importer.Import("(or -1.0 -2.0)"));
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263 | var expectedTree = importer.Import("-1.0");
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264 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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265 | }
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266 | {
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267 | // constant not
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268 | var actualTree = simplifier.Simplify(importer.Import("(not -2.0)"));
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269 | var expectedTree = importer.Import("1.0");
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270 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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271 | }
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272 | {
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273 | // constant not
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274 | var actualTree = simplifier.Simplify(importer.Import("(not 2.0)"));
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275 | var expectedTree = importer.Import("-1.0");
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276 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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277 | }
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278 | {
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279 | // constant not
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280 | var actualTree = simplifier.Simplify(importer.Import("(not 0.0)"));
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281 | var expectedTree = importer.Import("1.0");
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282 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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283 | }
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284 | {
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285 | // nested nots
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286 | var actualTree = simplifier.Simplify(importer.Import("(not (not 1.0))"));
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287 | var expectedTree = importer.Import("1.0");
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288 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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289 | }
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290 | {
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291 | // not of non-Boolean argument
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292 | var actualTree = simplifier.Simplify(importer.Import("(not (variable 1.0 a))"));
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293 | var expectedTree = importer.Import("(not (> (variable 1.0 a) 0.0))");
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294 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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295 | }
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296 | {
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297 | // not Boolean argument
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298 | var actualTree = simplifier.Simplify(importer.Import("(not (and (> (variable 1.0 a) 0.0) (> (variable 1.0 a) 0.0)))"));
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299 | var expectedTree = importer.Import("(not (and (> (variable 1.0 a) 0.0) (> (variable 1.0 a) 0.0)))");
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300 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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301 | }
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302 | #endregion
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303 | #region conditionals
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304 | {
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305 | // always false
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306 | var actualTree = simplifier.Simplify(importer.Import("(if -1.0 (variable 2.0 a) (variable 3.0 a))"));
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307 | var expectedTree = importer.Import("(variable 3.0 a)");
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308 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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309 | }
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310 | {
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311 | // always true
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312 | var actualTree = simplifier.Simplify(importer.Import("(if 1.0 (variable 2.0 a) (variable 3.0 a))"));
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313 | var expectedTree = importer.Import("(variable 2.0 a)");
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314 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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315 | }
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316 | {
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317 | // always false (0.0)
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318 | var actualTree = simplifier.Simplify(importer.Import("(if 0.0 (variable 2.0 a) (variable 3.0 a))"));
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319 | var expectedTree = importer.Import("(variable 3.0 a)");
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320 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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321 | }
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322 | {
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323 | // complex constant condition (always false)
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324 | var actualTree = simplifier.Simplify(importer.Import("(if (* 1.0 -2.0) (variable 2.0 a) (variable 3.0 a))"));
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325 | var expectedTree = importer.Import("(variable 3.0 a)");
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326 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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327 | }
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328 | {
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329 | // complex constant condition (always false)
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330 | var actualTree = simplifier.Simplify(importer.Import("(if (/ (variable 1.0 a) (variable -2.0 a)) (variable 2.0 a) (variable 3.0 a))"));
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331 | var expectedTree = importer.Import("(variable 3.0 a)");
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332 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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333 | }
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334 | {
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335 | // insertion of relational operator
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336 | var actualTree = simplifier.Simplify(importer.Import("(if (variable 1.0 a) (variable 2.0 a) (variable 3.0 a))"));
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337 | var expectedTree = importer.Import("(if (> (variable 1.0 a) 0.0) (variable 2.0 a) (variable 3.0 a))");
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338 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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339 | }
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340 | #endregion
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341 | }
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342 |
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343 | private void AssertEqualEnumerations(IEnumerable<double> expected, IEnumerable<double> actual) {
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344 | var expectedEnumerator = expected.GetEnumerator();
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345 | var actualEnumerator = actual.GetEnumerator();
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346 | while (expectedEnumerator.MoveNext() & actualEnumerator.MoveNext()) {
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347 | Assert.AreEqual(expectedEnumerator.Current, actualEnumerator.Current, Math.Abs(1E-6 * expectedEnumerator.Current));
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348 | }
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349 | if (expectedEnumerator.MoveNext() | actualEnumerator.MoveNext())
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350 | Assert.Fail("Number of elements in enumerations do not match");
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351 | }
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352 | }
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353 | }
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