1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2010 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 System.Globalization;
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25 | using System.Linq;
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26 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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27 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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28 | using HeuristicLab.Random;
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29 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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30 | namespace HeuristicLab.Problems.DataAnalysis.Tests {
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31 |
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32 |
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33 | /// <summary>
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34 | ///This is a test class for SimpleArithmeticExpressionInterpreter and is intended
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35 | ///to contain all SimpleArithmeticExpressionInterpreter Unit Tests
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36 | ///</summary>
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37 | [TestClass()]
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38 | public class SimpleArithmeticExpressionInterpreterTest {
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39 | private const int N = 1000;
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40 | private const int Rows = 1000;
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41 | private const int Columns = 50;
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42 | private TestContext testContextInstance;
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43 |
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44 | /// <summary>
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45 | ///Gets or sets the test context which provides
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46 | ///information about and functionality for the current test run.
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47 | ///</summary>
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48 | public TestContext TestContext {
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49 | get {
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50 | return testContextInstance;
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51 | }
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52 | set {
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53 | testContextInstance = value;
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54 | }
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55 | }
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56 |
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57 | [TestMethod]
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58 | public void FullGrammarSimpleArithmeticExpressionInterpreterPerformanceTest() {
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59 | var twister = new MersenneTwister();
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60 | var dataset = Util.CreateRandomDataset(twister, Rows, Columns);
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61 | var grammar = new GlobalSymbolicExpressionGrammar(new FullFunctionalExpressionGrammar());
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62 | grammar.MaxFunctionArguments = 0;
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63 | grammar.MaxFunctionDefinitions = 0;
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64 | grammar.MinFunctionArguments = 0;
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65 | grammar.MinFunctionDefinitions = 0;
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66 | var randomTrees = Util.CreateRandomTrees(twister, dataset, grammar, N, 1, 100, 0, 0);
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67 | double[] estimation = new double[Rows];
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68 | foreach (SymbolicExpressionTree tree in randomTrees) {
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69 | Util.InitTree(tree, twister, new List<string>(dataset.VariableNames));
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70 | }
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71 | SimpleArithmeticExpressionInterpreter interpreter = new SimpleArithmeticExpressionInterpreter();
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72 | double nodesPerSec = Util.CalculateEvaluatedNodesPerSec(randomTrees, interpreter, dataset, 3);
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73 | Assert.IsTrue(nodesPerSec > 15.0e6); // evaluated nodes per seconds must be larger than 15mNodes/sec
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74 | }
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75 |
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76 | [TestMethod]
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77 | public void ArithmeticGrammarSimpleArithmeticExpressionInterpreterPerformanceTest() {
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78 | var twister = new MersenneTwister();
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79 | var dataset = Util.CreateRandomDataset(twister, Rows, Columns);
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80 | var grammar = new GlobalSymbolicExpressionGrammar(new ArithmeticExpressionGrammar());
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81 | grammar.MaxFunctionArguments = 0;
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82 | grammar.MaxFunctionDefinitions = 0;
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83 | grammar.MinFunctionArguments = 0;
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84 | grammar.MinFunctionDefinitions = 0;
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85 | var randomTrees = Util.CreateRandomTrees(twister, dataset, grammar, N, 1, 100, 0, 0);
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86 | double[] estimation = new double[Rows];
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87 | foreach (SymbolicExpressionTree tree in randomTrees) {
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88 | Util.InitTree(tree, twister, new List<string>(dataset.VariableNames));
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89 | }
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90 | SimpleArithmeticExpressionInterpreter interpreter = new SimpleArithmeticExpressionInterpreter();
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91 | double nodesPerSec = Util.CalculateEvaluatedNodesPerSec(randomTrees, interpreter, dataset, 3);
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92 | Assert.IsTrue(nodesPerSec > 15.0e6); // evaluated nodes per seconds must be larger than 15mNodes/sec
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93 | }
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94 |
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95 |
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96 | /// <summary>
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97 | ///A test for Evaluate
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98 | ///</summary>
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99 | [TestMethod]
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100 | public void SimpleArithmeticExpressionInterpreterEvaluateTest() {
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101 |
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102 | Dataset ds = new Dataset(new string[] { "Y", "A", "B" }, new double[,] {
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103 | { 1.0, 1.0, 1.0 },
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104 | { 2.0, 2.0, 2.0 },
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105 | { 3.0, 1.0, 2.0 }
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106 | });
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107 |
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108 | SimpleArithmeticExpressionInterpreter interpreter = new SimpleArithmeticExpressionInterpreter();
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109 |
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110 | // constants
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111 | Evaluate(interpreter, ds, "(+ 1.5 3.5)", 0, 5.0);
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112 |
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113 | // variables
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114 | Evaluate(interpreter, ds, "(variable 2.0 a)", 0, 2.0);
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115 | Evaluate(interpreter, ds, "(variable 2.0 a)", 1, 4.0);
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116 |
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117 |
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118 | // addition
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119 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ))", 1, 4.0);
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120 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ) (variable 3.0 b ))", 0, 5.0);
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121 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ) (variable 3.0 b ))", 1, 10.0);
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122 | Evaluate(interpreter, ds, "(+ (variable 2.0 a) (variable 3.0 b ))", 2, 8.0);
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123 | Evaluate(interpreter, ds, "(+ 8.0 2.0 2.0)", 0, 12.0);
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124 |
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125 | // subtraction
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126 | Evaluate(interpreter, ds, "(- (variable 2.0 a ))", 1, -4.0);
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127 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b))", 0, -1.0);
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128 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b ))", 1, -2.0);
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129 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b ))", 2, -4.0);
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130 | Evaluate(interpreter, ds, "(- 8.0 2.0 2.0)", 0, 4.0);
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131 |
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132 | // multiplication
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133 | Evaluate(interpreter, ds, "(* (variable 2.0 a ))", 0, 2.0);
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134 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 0, 6.0);
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135 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 1, 24.0);
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136 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 2, 12.0);
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137 | Evaluate(interpreter, ds, "(* 8.0 2.0 2.0)", 0, 32.0);
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138 |
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139 | // division
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140 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ))", 1, 1.0 / 4.0);
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141 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ) 2.0)", 0, 1.0);
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142 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ) 2.0)", 1, 2.0);
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143 | Evaluate(interpreter, ds, "(/ (variable 3.0 b ) 2.0)", 2, 3.0);
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144 | Evaluate(interpreter, ds, "(/ 8.0 2.0 2.0)", 0, 2.0);
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145 |
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146 | // gt
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147 | Evaluate(interpreter, ds, "(> (variable 2.0 a) 2.0)", 0, -1.0);
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148 | Evaluate(interpreter, ds, "(> 2.0 (variable 2.0 a))", 0, -1.0);
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149 | Evaluate(interpreter, ds, "(> (variable 2.0 a) 1.9)", 0, 1.0);
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150 | Evaluate(interpreter, ds, "(> 1.9 (variable 2.0 a))", 0, -1.0);
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151 | //Evaluate(interpreter, ds, "(> (sqrt -1.0) (log -1.0))", 0, -1.0); // (> nan nan) should be false
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152 |
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153 | // lt
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154 | Evaluate(interpreter, ds, "(< (variable 2.0 a) 2.0)", 0, -1.0);
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155 | Evaluate(interpreter, ds, "(< 2.0 (variable 2.0 a))", 0, -1.0);
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156 | Evaluate(interpreter, ds, "(< (variable 2.0 a) 1.9)", 0, -1.0);
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157 | Evaluate(interpreter, ds, "(< 1.9 (variable 2.0 a))", 0, 1.0);
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158 | //Evaluate(interpreter, ds, "(< (sqrt -1,0) (log -1,0))", 0, -1.0); // (< nan nan) should be false
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159 |
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160 | // If
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161 | Evaluate(interpreter, ds, "(if -10.0 2.0 3.0)", 0, 3.0);
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162 | Evaluate(interpreter, ds, "(if -1.0 2.0 3.0)", 0, 3.0);
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163 | Evaluate(interpreter, ds, "(if 0.0 2.0 3.0)", 0, 3.0);
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164 | Evaluate(interpreter, ds, "(if 1.0 2.0 3.0)", 0, 2.0);
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165 | Evaluate(interpreter, ds, "(if 10.0 2.0 3.0)", 0, 2.0);
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166 | // Evaluate(interpreter, ds, "(if (sqrt -1.0) 2.0 3.0)", 0, 3.0); // if(nan) should return the else branch
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167 |
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168 | // NOT
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169 | Evaluate(interpreter, ds, "(not -1.0)", 0, 1.0);
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170 | Evaluate(interpreter, ds, "(not -2.0)", 0, 2.0);
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171 | Evaluate(interpreter, ds, "(not 1.0)", 0, -1.0);
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172 | Evaluate(interpreter, ds, "(not 2.0)", 0, -2.0);
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173 | Evaluate(interpreter, ds, "(not 0.0)", 0, 0.0);
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174 |
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175 | // AND
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176 | Evaluate(interpreter, ds, "(and -1.0 -2.0)", 0, -1.0);
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177 | Evaluate(interpreter, ds, "(and -1.0 2.0)", 0, -1.0);
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178 | Evaluate(interpreter, ds, "(and 1.0 -2.0)", 0, -1.0);
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179 | Evaluate(interpreter, ds, "(and 1.0 0.0)", 0, -1.0);
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180 | Evaluate(interpreter, ds, "(and 0.0 0.0)", 0, -1.0);
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181 | Evaluate(interpreter, ds, "(and 1.0 2.0)", 0, 1.0);
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182 | Evaluate(interpreter, ds, "(and 1.0 2.0 3.0)", 0, 1.0);
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183 | Evaluate(interpreter, ds, "(and 1.0 -2.0 3.0)", 0, -1.0);
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184 |
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185 | // OR
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186 | Evaluate(interpreter, ds, "(or -1.0 -2.0)", 0, -1.0);
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187 | Evaluate(interpreter, ds, "(or -1.0 2.0)", 0, 1.0);
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188 | Evaluate(interpreter, ds, "(or 1.0 -2.0)", 0, 1.0);
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189 | Evaluate(interpreter, ds, "(or 1.0 2.0)", 0, 1.0);
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190 | Evaluate(interpreter, ds, "(or 0.0 0.0)", 0, -1.0);
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191 | Evaluate(interpreter, ds, "(or -1.0 -2.0 -3.0)", 0, -1.0);
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192 | Evaluate(interpreter, ds, "(or -1.0 -2.0 3.0)", 0, 1.0);
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193 |
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194 | // sin, cos, tan
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195 | Evaluate(interpreter, ds, "(sin " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, 0.0);
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196 | Evaluate(interpreter, ds, "(sin 0.0)", 0, 0.0);
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197 | Evaluate(interpreter, ds, "(cos " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, -1.0);
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198 | Evaluate(interpreter, ds, "(cos 0.0)", 0, 1.0);
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199 | Evaluate(interpreter, ds, "(tan " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, Math.Tan(Math.PI));
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200 | Evaluate(interpreter, ds, "(tan 0.0)", 0, Math.Tan(Math.PI));
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201 |
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202 | // exp, log
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203 | Evaluate(interpreter, ds, "(log (exp 7.0))", 0, Math.Log(Math.Exp(7)));
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204 | Evaluate(interpreter, ds, "(exp (log 7.0))", 0, Math.Exp(Math.Log(7)));
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205 | Evaluate(interpreter, ds, "(log -3.0)", 0, Math.Log(-3));
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206 |
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207 | // mean
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208 | Evaluate(interpreter, ds, "(mean -1.0 1.0 -1.0)", 0, -1.0 / 3.0);
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209 |
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210 | // ADF
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211 | Evaluate(interpreter, ds, @"(PROG
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212 | (MAIN
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213 | (CALL ADF0))
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214 | (defun ADF0 1.0))", 1, 1.0);
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215 | Evaluate(interpreter, ds, @"(PROG
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216 | (MAIN
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217 | (* (CALL ADF0) (CALL ADF0)))
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218 | (defun ADF0 2.0))", 1, 4.0);
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219 | Evaluate(interpreter, ds, @"(PROG
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220 | (MAIN
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221 | (CALL ADF0 2.0 3.0))
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222 | (defun ADF0
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223 | (+ (ARG 0) (ARG 1))))", 1, 5.0);
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224 | Evaluate(interpreter, ds, @"(PROG
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225 | (MAIN (CALL ADF1 2.0 3.0))
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226 | (defun ADF0
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227 | (- (ARG 1) (ARG 0)))
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228 | (defun ADF1
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229 | (+ (CALL ADF0 (ARG 1) (ARG 0))
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230 | (CALL ADF0 (ARG 0) (ARG 1)))))", 1, 0.0);
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231 | Evaluate(interpreter, ds, @"(PROG
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232 | (MAIN (CALL ADF1 (variable 2.0 a) 3.0))
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233 | (defun ADF0
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234 | (- (ARG 1) (ARG 0)))
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235 | (defun ADF1
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236 | (CALL ADF0 (ARG 1) (ARG 0))))", 1, 1.0);
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237 | Evaluate(interpreter, ds, @"(PROG
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238 | (MAIN (CALL ADF1 (variable 2.0 a) 3.0))
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239 | (defun ADF0
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240 | (- (ARG 1) (ARG 0)))
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241 | (defun ADF1
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242 | (+ (CALL ADF0 (ARG 1) (ARG 0))
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243 | (CALL ADF0 (ARG 0) (ARG 1)))))", 1, 0.0);
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244 | }
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245 |
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246 | private void Evaluate(SimpleArithmeticExpressionInterpreter interpreter, Dataset ds, string expr, int index, double expected) {
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247 | var importer = new SymbolicExpressionImporter();
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248 | SymbolicExpressionTree tree = importer.Import(expr);
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249 |
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250 | double actual = interpreter.GetSymbolicExpressionTreeValues(tree, ds, Enumerable.Range(index, 1)).First();
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251 |
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252 | Assert.AreEqual(expected, actual, 1.0E-12, expr);
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253 | }
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254 | }
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255 | }
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