1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2018 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.Tests;
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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.Symbolic.TimeSeriesPrognosis.Tests {
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31 |
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32 | [TestClass()]
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33 | public class SymbolicTimeSeriesPrognosisInterpreterTest {
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34 | private const int N = 1000;
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35 | private const int Rows = 100;
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36 | private const int Columns = 50;
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37 |
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38 | [TestMethod]
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39 | [TestCategory("Problems.DataAnalysis.Symbolic")]
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40 | [TestProperty("Time", "long")]
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41 | public void TimeSeriesPrognosisInterpreterTestTypeCoherentGrammarPerformance() {
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42 | TestTypeCoherentGrammarPerformance(new SymbolicTimeSeriesPrognosisExpressionTreeInterpreter("y"), 12.5e6);
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43 | }
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44 |
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45 | [TestMethod]
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46 | [TestCategory("Problems.DataAnalysis.Symbolic")]
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47 | [TestProperty("Time", "long")]
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48 | public void TimeSeriesPrognosisInterpreterTestFullGrammarPerformance() {
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49 | TestFullGrammarPerformance(new SymbolicTimeSeriesPrognosisExpressionTreeInterpreter("y"), 12.5e6);
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50 | }
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51 |
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52 | [TestMethod]
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53 | [TestCategory("Problems.DataAnalysis.Symbolic")]
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54 | [TestProperty("Time", "long")]
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55 | public void TimeSeriesPrognosisInterpreterTestArithmeticGrammarPerformance() {
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56 | TestArithmeticGrammarPerformance(new SymbolicTimeSeriesPrognosisExpressionTreeInterpreter("y"), 12.5e6);
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57 | }
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58 |
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59 | private void TestTypeCoherentGrammarPerformance(ISymbolicTimeSeriesPrognosisExpressionTreeInterpreter interpreter, double nodesPerSecThreshold) {
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60 | var twister = new MersenneTwister(31415);
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61 | var dataset = Util.CreateRandomDataset(twister, Rows, Columns);
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62 | var grammar = new TypeCoherentExpressionGrammar();
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63 | grammar.ConfigureAsDefaultRegressionGrammar();
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64 | grammar.MaximumFunctionArguments = 0;
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65 | grammar.MaximumFunctionDefinitions = 0;
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66 | grammar.MinimumFunctionArguments = 0;
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67 | grammar.MinimumFunctionDefinitions = 0;
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68 | var randomTrees = Util.CreateRandomTrees(twister, dataset, grammar, N, 1, 100, 0, 0);
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69 | foreach (ISymbolicExpressionTree tree in randomTrees) {
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70 | Util.InitTree(tree, twister, new List<string>(dataset.VariableNames));
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71 | }
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72 | double nodesPerSec = Util.CalculateEvaluatedNodesPerSec(randomTrees, interpreter, dataset, 3);
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73 | //mkommend: commented due to performance issues on the builder
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74 | //Assert.IsTrue(nodesPerSec > nodesPerSecThreshold); // evaluated nodes per seconds must be larger than 15mNodes/sec
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75 | }
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76 |
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77 | private void TestFullGrammarPerformance(ISymbolicTimeSeriesPrognosisExpressionTreeInterpreter interpreter, double nodesPerSecThreshold) {
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78 | var twister = new MersenneTwister(31415);
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79 | var dataset = Util.CreateRandomDataset(twister, Rows, Columns);
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80 | var grammar = new FullFunctionalExpressionGrammar();
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81 | grammar.MaximumFunctionArguments = 0;
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82 | grammar.MaximumFunctionDefinitions = 0;
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83 | grammar.MinimumFunctionArguments = 0;
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84 | grammar.MinimumFunctionDefinitions = 0;
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85 | var randomTrees = Util.CreateRandomTrees(twister, dataset, grammar, N, 1, 100, 0, 0);
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86 | foreach (ISymbolicExpressionTree tree in randomTrees) {
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87 | Util.InitTree(tree, twister, new List<string>(dataset.VariableNames));
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88 | }
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89 | double nodesPerSec = Util.CalculateEvaluatedNodesPerSec(randomTrees, interpreter, dataset, 3);
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90 | //mkommend: commented due to performance issues on the builder
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91 | //Assert.IsTrue(nodesPerSec > nodesPerSecThreshold); // evaluated nodes per seconds must be larger than 15mNodes/sec
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92 | }
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93 |
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94 | private void TestArithmeticGrammarPerformance(ISymbolicTimeSeriesPrognosisExpressionTreeInterpreter interpreter, double nodesPerSecThreshold) {
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95 | var twister = new MersenneTwister(31415);
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96 | var dataset = Util.CreateRandomDataset(twister, Rows, Columns);
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97 | var grammar = new ArithmeticExpressionGrammar();
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98 | grammar.MaximumFunctionArguments = 0;
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99 | grammar.MaximumFunctionDefinitions = 0;
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100 | grammar.MinimumFunctionArguments = 0;
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101 | grammar.MinimumFunctionDefinitions = 0;
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102 | var randomTrees = Util.CreateRandomTrees(twister, dataset, grammar, N, 1, 100, 0, 0);
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103 | foreach (SymbolicExpressionTree tree in randomTrees) {
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104 | Util.InitTree(tree, twister, new List<string>(dataset.VariableNames));
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105 | }
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106 |
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107 | double nodesPerSec = Util.CalculateEvaluatedNodesPerSec(randomTrees, interpreter, dataset, 3);
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108 | //mkommend: commented due to performance issues on the builder
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109 | //Assert.IsTrue(nodesPerSec > nodesPerSecThreshold); // evaluated nodes per seconds must be larger than 15mNodes/sec
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110 | }
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111 |
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112 |
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113 | /// <summary>
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114 | ///A test for Evaluate
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115 | ///</summary>
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116 | [TestMethod]
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117 | [TestCategory("Problems.DataAnalysis.Symbolic")]
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118 | [TestProperty("Time", "short")]
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119 | public void TimeSeriesPrognosisInterpreterTestEvaluation() {
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120 | Dataset ds = new Dataset(new string[] { "Y", "A", "B" }, new double[,] {
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121 | { 1.0, 1.0, 1.0 },
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122 | { 2.0, 2.0, 2.0 },
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123 | { 3.0, 1.0, 2.0 },
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124 | { 4.0, 1.0, 1.0 },
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125 | { 5.0, 2.0, 2.0 },
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126 | { 6.0, 1.0, 2.0 },
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127 | { 7.0, 1.0, 1.0 },
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128 | { 8.0, 2.0, 2.0 },
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129 | { 9.0, 1.0, 2.0 },
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130 | { 10.0, 1.0, 1.0 },
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131 | { 11.0, 2.0, 2.0 },
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132 | { 12.0, 1.0, 2.0 }
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133 | });
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134 |
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135 | var interpreter = new SymbolicDataAnalysisExpressionTreeInterpreter();
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136 | EvaluateTerminals(interpreter, ds);
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137 | EvaluateOperations(interpreter, ds);
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138 | EvaluateAdf(interpreter, ds);
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139 | }
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140 |
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141 | private void EvaluateTerminals(ISymbolicDataAnalysisExpressionTreeInterpreter interpreter, Dataset ds) {
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142 | // constants
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143 | Evaluate(interpreter, ds, "(+ 1.5 3.5)", 0, 5.0);
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144 |
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145 | // variables
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146 | Evaluate(interpreter, ds, "(variable 2.0 a)", 0, 2.0);
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147 | Evaluate(interpreter, ds, "(variable 2.0 a)", 1, 4.0);
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148 | }
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149 |
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150 | private void EvaluateAdf(ISymbolicDataAnalysisExpressionTreeInterpreter interpreter, Dataset ds) {
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151 |
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152 | // ADF
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153 | Evaluate(interpreter, ds, @"(PROG
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154 | (MAIN
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155 | (CALL ADF0))
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156 | (defun ADF0 1.0))", 1, 1.0);
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157 | Evaluate(interpreter, ds, @"(PROG
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158 | (MAIN
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159 | (* (CALL ADF0) (CALL ADF0)))
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160 | (defun ADF0 2.0))", 1, 4.0);
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161 | Evaluate(interpreter, ds, @"(PROG
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162 | (MAIN
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163 | (CALL ADF0 2.0 3.0))
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164 | (defun ADF0
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165 | (+ (ARG 0) (ARG 1))))", 1, 5.0);
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166 | Evaluate(interpreter, ds, @"(PROG
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167 | (MAIN (CALL ADF1 2.0 3.0))
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168 | (defun ADF0
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169 | (- (ARG 1) (ARG 0)))
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170 | (defun ADF1
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171 | (+ (CALL ADF0 (ARG 1) (ARG 0))
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172 | (CALL ADF0 (ARG 0) (ARG 1)))))", 1, 0.0);
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173 | Evaluate(interpreter, ds, @"(PROG
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174 | (MAIN (CALL ADF1 (variable 2.0 a) 3.0))
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175 | (defun ADF0
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176 | (- (ARG 1) (ARG 0)))
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177 | (defun ADF1
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178 | (CALL ADF0 (ARG 1) (ARG 0))))", 1, 1.0);
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179 | Evaluate(interpreter, ds,
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180 | @"(PROG
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181 | (MAIN (CALL ADF1 (variable 2.0 a) 3.0))
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182 | (defun ADF0
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183 | (- (ARG 1) (ARG 0)))
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184 | (defun ADF1
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185 | (+ (CALL ADF0 (ARG 1) (ARG 0))
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186 | (CALL ADF0 (ARG 0) (ARG 1)))))", 1, 0.0);
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187 | }
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188 |
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189 | private void EvaluateOperations(ISymbolicDataAnalysisExpressionTreeInterpreter interpreter, Dataset ds) {
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190 | // addition
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191 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ))", 1, 4.0);
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192 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ) (variable 3.0 b ))", 0, 5.0);
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193 | Evaluate(interpreter, ds, "(+ (variable 2.0 a ) (variable 3.0 b ))", 1, 10.0);
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194 | Evaluate(interpreter, ds, "(+ (variable 2.0 a) (variable 3.0 b ))", 2, 8.0);
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195 | Evaluate(interpreter, ds, "(+ 8.0 2.0 2.0)", 0, 12.0);
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196 |
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197 | // subtraction
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198 | Evaluate(interpreter, ds, "(- (variable 2.0 a ))", 1, -4.0);
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199 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b))", 0, -1.0);
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200 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b ))", 1, -2.0);
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201 | Evaluate(interpreter, ds, "(- (variable 2.0 a ) (variable 3.0 b ))", 2, -4.0);
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202 | Evaluate(interpreter, ds, "(- 8.0 2.0 2.0)", 0, 4.0);
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203 |
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204 | // multiplication
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205 | Evaluate(interpreter, ds, "(* (variable 2.0 a ))", 0, 2.0);
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206 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 0, 6.0);
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207 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 1, 24.0);
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208 | Evaluate(interpreter, ds, "(* (variable 2.0 a ) (variable 3.0 b ))", 2, 12.0);
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209 | Evaluate(interpreter, ds, "(* 8.0 2.0 2.0)", 0, 32.0);
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210 |
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211 | // division
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212 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ))", 1, 1.0 / 4.0);
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213 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ) 2.0)", 0, 1.0);
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214 | Evaluate(interpreter, ds, "(/ (variable 2.0 a ) 2.0)", 1, 2.0);
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215 | Evaluate(interpreter, ds, "(/ (variable 3.0 b ) 2.0)", 2, 3.0);
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216 | Evaluate(interpreter, ds, "(/ 8.0 2.0 2.0)", 0, 2.0);
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217 |
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218 | // gt
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219 | Evaluate(interpreter, ds, "(> (variable 2.0 a) 2.0)", 0, -1.0);
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220 | Evaluate(interpreter, ds, "(> 2.0 (variable 2.0 a))", 0, -1.0);
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221 | Evaluate(interpreter, ds, "(> (variable 2.0 a) 1.9)", 0, 1.0);
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222 | Evaluate(interpreter, ds, "(> 1.9 (variable 2.0 a))", 0, -1.0);
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223 | Evaluate(interpreter, ds, "(> (log -1.0) (log -1.0))", 0, -1.0); // (> nan nan) should be false
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224 |
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225 | // lt
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226 | Evaluate(interpreter, ds, "(< (variable 2.0 a) 2.0)", 0, -1.0);
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227 | Evaluate(interpreter, ds, "(< 2.0 (variable 2.0 a))", 0, -1.0);
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228 | Evaluate(interpreter, ds, "(< (variable 2.0 a) 1.9)", 0, -1.0);
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229 | Evaluate(interpreter, ds, "(< 1.9 (variable 2.0 a))", 0, 1.0);
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230 | Evaluate(interpreter, ds, "(< (log -1.0) (log -1.0))", 0, -1.0); // (< nan nan) should be false
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231 |
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232 | // If
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233 | Evaluate(interpreter, ds, "(if -10.0 2.0 3.0)", 0, 3.0);
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234 | Evaluate(interpreter, ds, "(if -1.0 2.0 3.0)", 0, 3.0);
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235 | Evaluate(interpreter, ds, "(if 0.0 2.0 3.0)", 0, 3.0);
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236 | Evaluate(interpreter, ds, "(if 1.0 2.0 3.0)", 0, 2.0);
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237 | Evaluate(interpreter, ds, "(if 10.0 2.0 3.0)", 0, 2.0);
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238 | Evaluate(interpreter, ds, "(if (log -1.0) 2.0 3.0)", 0, 3.0); // if(nan) should return the else branch
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239 |
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240 | // NOT
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241 | Evaluate(interpreter, ds, "(not -1.0)", 0, 1.0);
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242 | Evaluate(interpreter, ds, "(not -2.0)", 0, 1.0);
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243 | Evaluate(interpreter, ds, "(not 1.0)", 0, -1.0);
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244 | Evaluate(interpreter, ds, "(not 2.0)", 0, -1.0);
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245 | Evaluate(interpreter, ds, "(not 0.0)", 0, 1.0);
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246 | Evaluate(interpreter, ds, "(not (log -1.0))", 0, 1.0);
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247 |
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248 | // AND
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249 | Evaluate(interpreter, ds, "(and -1.0 -2.0)", 0, -1.0);
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250 | Evaluate(interpreter, ds, "(and -1.0 2.0)", 0, -1.0);
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251 | Evaluate(interpreter, ds, "(and 1.0 -2.0)", 0, -1.0);
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252 | Evaluate(interpreter, ds, "(and 1.0 0.0)", 0, -1.0);
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253 | Evaluate(interpreter, ds, "(and 0.0 0.0)", 0, -1.0);
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254 | Evaluate(interpreter, ds, "(and 1.0 2.0)", 0, 1.0);
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255 | Evaluate(interpreter, ds, "(and 1.0 2.0 3.0)", 0, 1.0);
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256 | Evaluate(interpreter, ds, "(and 1.0 -2.0 3.0)", 0, -1.0);
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257 | Evaluate(interpreter, ds, "(and (log -1.0))", 0, -1.0); // (and NaN)
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258 | Evaluate(interpreter, ds, "(and (log -1.0) 1.0)", 0, -1.0); // (and NaN 1.0)
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259 |
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260 |
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261 | // OR
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262 | Evaluate(interpreter, ds, "(or -1.0 -2.0)", 0, -1.0);
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263 | Evaluate(interpreter, ds, "(or -1.0 2.0)", 0, 1.0);
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264 | Evaluate(interpreter, ds, "(or 1.0 -2.0)", 0, 1.0);
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265 | Evaluate(interpreter, ds, "(or 1.0 2.0)", 0, 1.0);
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266 | Evaluate(interpreter, ds, "(or 0.0 0.0)", 0, -1.0);
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267 | Evaluate(interpreter, ds, "(or -1.0 -2.0 -3.0)", 0, -1.0);
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268 | Evaluate(interpreter, ds, "(or -1.0 -2.0 3.0)", 0, 1.0);
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269 | Evaluate(interpreter, ds, "(or (log -1.0))", 0, -1.0); // (or NaN)
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270 | Evaluate(interpreter, ds, "(or (log -1.0) 1.0)", 0, -1.0); // (or NaN 1.0)
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271 |
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272 | // sin, cos, tan
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273 | Evaluate(interpreter, ds, "(sin " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, 0.0);
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274 | Evaluate(interpreter, ds, "(sin 0.0)", 0, 0.0);
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275 | Evaluate(interpreter, ds, "(cos " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, -1.0);
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276 | Evaluate(interpreter, ds, "(cos 0.0)", 0, 1.0);
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277 | Evaluate(interpreter, ds, "(tan " + Math.PI.ToString(NumberFormatInfo.InvariantInfo) + ")", 0, Math.Tan(Math.PI));
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278 | Evaluate(interpreter, ds, "(tan 0.0)", 0, Math.Tan(Math.PI));
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279 |
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280 | // exp, log
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281 | Evaluate(interpreter, ds, "(log (exp 7.0))", 0, Math.Log(Math.Exp(7)));
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282 | Evaluate(interpreter, ds, "(exp (log 7.0))", 0, Math.Exp(Math.Log(7)));
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283 | Evaluate(interpreter, ds, "(log -3.0)", 0, Math.Log(-3));
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284 |
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285 | // power
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286 | Evaluate(interpreter, ds, "(pow 2.0 3.0)", 0, 8.0);
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287 | Evaluate(interpreter, ds, "(pow 4.0 0.5)", 0, 1.0); // interpreter should round to the nearest integer value value (.5 is rounded to the even number)
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288 | Evaluate(interpreter, ds, "(pow 4.0 2.5)", 0, 16.0); // interpreter should round to the nearest integer value value (.5 is rounded to the even number)
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289 | Evaluate(interpreter, ds, "(pow -2.0 3.0)", 0, -8.0);
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290 | Evaluate(interpreter, ds, "(pow 2.0 -3.0)", 0, 1.0 / 8.0);
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291 | Evaluate(interpreter, ds, "(pow -2.0 -3.0)", 0, -1.0 / 8.0);
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292 |
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293 | // root
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294 | Evaluate(interpreter, ds, "(root 9.0 2.0)", 0, 3.0);
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295 | Evaluate(interpreter, ds, "(root 27.0 3.0)", 0, 3.0);
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296 | Evaluate(interpreter, ds, "(root 2.0 -3.0)", 0, Math.Pow(2.0, -1.0 / 3.0));
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297 |
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298 | // mean
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299 | Evaluate(interpreter, ds, "(mean -1.0 1.0 -1.0)", 0, -1.0 / 3.0);
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300 |
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301 | // lag
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302 | Evaluate(interpreter, ds, "(lagVariable 1.0 a -1) ", 1, ds.GetDoubleValue("A", 0));
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303 | Evaluate(interpreter, ds, "(lagVariable 1.0 a -1) ", 2, ds.GetDoubleValue("A", 1));
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304 | Evaluate(interpreter, ds, "(lagVariable 1.0 a 0) ", 2, ds.GetDoubleValue("A", 2));
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305 | Evaluate(interpreter, ds, "(lagVariable 1.0 a 1) ", 0, ds.GetDoubleValue("A", 1));
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306 |
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307 | // integral
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308 | Evaluate(interpreter, ds, "(integral -1.0 (variable 1.0 a)) ", 1, ds.GetDoubleValue("A", 0) + ds.GetDoubleValue("A", 1));
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309 | Evaluate(interpreter, ds, "(integral -1.0 (lagVariable 1.0 a 1)) ", 1, ds.GetDoubleValue("A", 1) + ds.GetDoubleValue("A", 2));
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310 | Evaluate(interpreter, ds, "(integral -2.0 (variable 1.0 a)) ", 2, ds.GetDoubleValue("A", 0) + ds.GetDoubleValue("A", 1) + ds.GetDoubleValue("A", 2));
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311 | Evaluate(interpreter, ds, "(integral -1.0 (* (variable 1.0 a) (variable 1.0 b)))", 1, ds.GetDoubleValue("A", 0) * ds.GetDoubleValue("B", 0) + ds.GetDoubleValue("A", 1) * ds.GetDoubleValue("B", 1));
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312 | Evaluate(interpreter, ds, "(integral -2.0 3.0)", 1, 9.0);
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313 |
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314 | // derivative
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315 | // (f_0 + 2 * f_1 - 2 * f_3 - f_4) / 8; // h = 1
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316 | Evaluate(interpreter, ds, "(diff (variable 1.0 a)) ", 5, (ds.GetDoubleValue("A", 5) + 2 * ds.GetDoubleValue("A", 4) - 2 * ds.GetDoubleValue("A", 2) - ds.GetDoubleValue("A", 1)) / 8.0);
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317 | Evaluate(interpreter, ds, "(diff (variable 1.0 b)) ", 5, (ds.GetDoubleValue("B", 5) + 2 * ds.GetDoubleValue("B", 4) - 2 * ds.GetDoubleValue("B", 2) - ds.GetDoubleValue("B", 1)) / 8.0);
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318 | Evaluate(interpreter, ds, "(diff (* (variable 1.0 a) (variable 1.0 b)))", 5, +
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319 | (ds.GetDoubleValue("A", 5) * ds.GetDoubleValue("B", 5) +
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320 | 2 * ds.GetDoubleValue("A", 4) * ds.GetDoubleValue("B", 4) -
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321 | 2 * ds.GetDoubleValue("A", 2) * ds.GetDoubleValue("B", 2) -
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322 | ds.GetDoubleValue("A", 1) * ds.GetDoubleValue("B", 1)) / 8.0);
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323 | Evaluate(interpreter, ds, "(diff -2.0 3.0)", 5, 0.0);
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324 |
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325 | // timelag
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326 | Evaluate(interpreter, ds, "(lag -1.0 (lagVariable 1.0 a 2)) ", 1, ds.GetDoubleValue("A", 2));
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327 | Evaluate(interpreter, ds, "(lag -2.0 (lagVariable 1.0 a 2)) ", 2, ds.GetDoubleValue("A", 2));
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328 | Evaluate(interpreter, ds, "(lag -1.0 (* (lagVariable 1.0 a 1) (lagVariable 1.0 b 2)))", 1, ds.GetDoubleValue("A", 1) * ds.GetDoubleValue("B", 2));
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329 | Evaluate(interpreter, ds, "(lag -2.0 3.0)", 1, 3.0);
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330 | }
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331 |
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332 | private void Evaluate(ISymbolicDataAnalysisExpressionTreeInterpreter interpreter, Dataset ds, string expr, int index, double expected) {
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333 | var importer = new SymbolicExpressionImporter();
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334 | ISymbolicExpressionTree tree = importer.Import(expr);
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335 |
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336 | double actual = interpreter.GetSymbolicExpressionTreeValues(tree, ds, Enumerable.Range(index, 1)).First();
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337 |
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338 | Assert.IsFalse(double.IsNaN(actual) && !double.IsNaN(expected));
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339 | Assert.IsFalse(!double.IsNaN(actual) && double.IsNaN(expected));
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340 | if (!double.IsNaN(actual) && !double.IsNaN(expected))
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341 | Assert.AreEqual(expected, actual, 1.0E-12, expr);
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342 | }
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343 | }
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344 | }
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