1 | using System.Collections.Generic;
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2 | using System.Diagnostics;
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3 | using System.Linq;
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4 | using HeuristicLab.Algorithms.DataAnalysis.SymRegGrammarEnumeration.GrammarEnumeration;
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5 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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6 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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7 |
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8 | namespace HeuristicLab.Algorithms.DataAnalysis.SymRegGrammarEnumeration {
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9 | public class Grammar {
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10 |
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11 | public Symbol StartSymbol { get; }
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12 |
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13 | public Hasher<int> Hasher { get; }
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14 |
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15 | #region Symbols
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16 | public VariableSymbol Var;
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17 |
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18 | public NonterminalSymbol Expr;
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19 | public NonterminalSymbol Term;
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20 | public NonterminalSymbol Factor;
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21 | public NonterminalSymbol LogFactor;
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22 | public NonterminalSymbol ExpFactor;
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23 | public NonterminalSymbol SinFactor;
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24 | public NonterminalSymbol CosFactor;
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25 |
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26 | public NonterminalSymbol SimpleExpr;
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27 | public NonterminalSymbol SimpleTerm;
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28 |
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29 | public NonterminalSymbol InvExpr;
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30 | public NonterminalSymbol InvTerm;
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31 |
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32 | public TerminalSymbol Addition;
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33 | public TerminalSymbol Multiplication;
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34 | public TerminalSymbol Log;
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35 | public TerminalSymbol Exp;
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36 | public TerminalSymbol Sin;
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37 | public TerminalSymbol Cos;
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38 | public TerminalSymbol Inv;
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39 |
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40 | // For infix notation
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41 | public TerminalSymbol OpeningBracket;
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42 | public TerminalSymbol ClosingBracket;
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43 |
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44 | #endregion
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45 |
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46 | #region HL Symbols for Parsing ExpressionTrees
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47 |
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48 | private ISymbol constSy;
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49 | private ISymbol varSy;
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50 |
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51 | private ISymbol addSy;
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52 | private ISymbol mulSy;
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53 | private ISymbol logSy;
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54 | private ISymbol expSy;
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55 | private ISymbol divSy;
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56 | private ISymbol sinSy;
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57 | private ISymbol cosSy;
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58 |
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59 | private ISymbol rootSy;
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60 | private ISymbol startSy;
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61 |
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62 | private InfixExpressionFormatter infixExpressionFormatter;
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63 | #endregion
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64 |
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65 | public Grammar(string[] variables) {
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66 | #region Define Symbols
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67 | Var = new VariableSymbol("var", variables);
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68 |
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69 | Expr = new NonterminalSymbol("Expr");
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70 | Term = new NonterminalSymbol("Term");
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71 | Factor = new NonterminalSymbol("Factor");
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72 | LogFactor = new NonterminalSymbol("LogFactor");
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73 | ExpFactor = new NonterminalSymbol("ExpFactor");
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74 | SinFactor = new NonterminalSymbol("SinFactor");
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75 | CosFactor = new NonterminalSymbol("CosFactor");
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76 |
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77 | SimpleExpr = new NonterminalSymbol("SimpleExpr");
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78 | SimpleTerm = new NonterminalSymbol("SimpleTerm");
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79 |
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80 | InvExpr = new NonterminalSymbol("InvExpr");
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81 | InvTerm = new NonterminalSymbol("InvTerm");
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82 |
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83 | Addition = new TerminalSymbol("+");
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84 | Multiplication = new TerminalSymbol("*");
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85 | Log = new TerminalSymbol("log");
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86 | Exp = new TerminalSymbol("exp");
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87 | Sin = new TerminalSymbol("sin");
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88 | Cos = new TerminalSymbol("cos");
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89 | Inv = new TerminalSymbol("inv");
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90 |
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91 | OpeningBracket = new TerminalSymbol("(");
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92 | ClosingBracket = new TerminalSymbol(")");
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93 | #endregion
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94 |
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95 | #region Production rules
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96 | StartSymbol = Expr;
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97 |
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98 | Expr.AddProduction(Term, Expr, Addition);
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99 | Expr.AddProduction(Term);
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100 |
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101 | Term.AddProduction(Factor, Term, Multiplication);
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102 | Term.AddProduction(Factor);
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103 | Term.AddProduction(InvExpr, Inv);
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104 |
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105 | Factor.AddProduction(Var);
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106 | Factor.AddProduction(LogFactor);
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107 | Factor.AddProduction(ExpFactor);
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108 | Factor.AddProduction(SinFactor);
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109 | Factor.AddProduction(CosFactor);
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110 |
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111 | LogFactor.AddProduction(SimpleExpr, Log);
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112 | ExpFactor.AddProduction(SimpleTerm, Exp);
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113 | SinFactor.AddProduction(SimpleExpr, Sin);
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114 | CosFactor.AddProduction(SimpleExpr, Cos);
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115 |
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116 | SimpleExpr.AddProduction(SimpleTerm, SimpleExpr, Addition);
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117 | SimpleExpr.AddProduction(SimpleTerm);
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118 |
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119 | SimpleTerm.AddProduction(Var, SimpleTerm, Multiplication);
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120 | SimpleTerm.AddProduction(Var);
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121 |
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122 | InvExpr.AddProduction(InvTerm, InvExpr, Addition);
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123 | InvExpr.AddProduction(InvTerm);
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124 |
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125 | InvTerm.AddProduction(Factor, InvTerm, Multiplication);
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126 | InvTerm.AddProduction(Factor);
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127 | #endregion
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128 |
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129 | #region Parsing to SymbolicExpressionTree
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130 | var symbolicExpressionGrammar = new TypeCoherentExpressionGrammar();
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131 | symbolicExpressionGrammar.ConfigureAsDefaultRegressionGrammar();
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132 |
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133 | constSy = symbolicExpressionGrammar.Symbols.OfType<Constant>().First();
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134 | varSy = symbolicExpressionGrammar.Symbols.OfType<Variable>().First();
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135 | addSy = symbolicExpressionGrammar.Symbols.OfType<Addition>().First();
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136 | mulSy = symbolicExpressionGrammar.Symbols.OfType<Multiplication>().First();
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137 | logSy = symbolicExpressionGrammar.Symbols.OfType<Logarithm>().First();
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138 | expSy = symbolicExpressionGrammar.Symbols.OfType<Exponential>().First();
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139 | divSy = symbolicExpressionGrammar.Symbols.OfType<Division>().First();
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140 | sinSy = symbolicExpressionGrammar.Symbols.OfType<Sine>().First();
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141 | cosSy = symbolicExpressionGrammar.Symbols.OfType<Cosine>().First();
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142 |
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143 | rootSy = symbolicExpressionGrammar.Symbols.OfType<ProgramRootSymbol>().First();
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144 | startSy = symbolicExpressionGrammar.Symbols.OfType<StartSymbol>().First();
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145 |
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146 | infixExpressionFormatter = new InfixExpressionFormatter();
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147 | #endregion
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148 |
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149 | Hasher = new IntHasher(this);
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150 | }
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151 |
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152 | #region Parse to SymbolicExpressionTree
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153 |
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154 | public string ToInfixString(SymbolString sentence) {
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155 | Debug.Assert(sentence.Any(), "Trying to evaluate empty sentence!");
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156 | Debug.Assert(sentence.All(s => s is TerminalSymbol), "Trying to evaluate symbol sequence with nonterminalsymbols!");
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157 |
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158 | return infixExpressionFormatter.Format(ParseSymbolicExpressionTree(sentence));
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159 | }
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160 |
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161 | public SymbolicExpressionTree ParseSymbolicExpressionTree(SymbolString sentence) {
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162 | Debug.Assert(sentence.Any(), "Trying to evaluate empty sentence!");
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163 | Debug.Assert(sentence.All(s => s is TerminalSymbol), "Trying to evaluate symbol sequence with nonterminalsymbols!");
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164 |
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165 | var rootNode = rootSy.CreateTreeNode();
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166 | var startNode = startSy.CreateTreeNode();
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167 | rootNode.AddSubtree(startNode);
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168 |
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169 | Stack<TerminalSymbol> parseStack = new Stack<TerminalSymbol>(sentence.OfType<TerminalSymbol>());
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170 | startNode.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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171 |
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172 | return new SymbolicExpressionTree(rootNode);
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173 | }
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174 |
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175 | public ISymbolicExpressionTreeNode ParseSymbolicExpressionTree(Stack<TerminalSymbol> parseStack) {
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176 | TerminalSymbol currentSymbol = parseStack.Pop();
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177 |
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178 | ISymbolicExpressionTreeNode parsedSubTree = null;
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179 |
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180 | if (currentSymbol == Addition) {
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181 | parsedSubTree = addSy.CreateTreeNode();
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182 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack)); // left part
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183 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack)); // right part
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184 |
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185 | } else if (currentSymbol == Multiplication) {
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186 | parsedSubTree = mulSy.CreateTreeNode();
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187 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack)); // left part
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188 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack)); // right part
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189 |
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190 | } else if (currentSymbol == Log) {
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191 | parsedSubTree = logSy.CreateTreeNode();
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192 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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193 |
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194 | } else if (currentSymbol == Exp) {
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195 | parsedSubTree = expSy.CreateTreeNode();
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196 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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197 |
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198 | } else if (currentSymbol == Sin) {
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199 | parsedSubTree = sinSy.CreateTreeNode();
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200 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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201 |
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202 | } else if (currentSymbol == Cos) {
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203 | parsedSubTree = cosSy.CreateTreeNode();
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204 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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205 |
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206 | } else if (currentSymbol == Inv) {
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207 | parsedSubTree = divSy.CreateTreeNode();
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208 | ConstantTreeNode dividend = (ConstantTreeNode)constSy.CreateTreeNode();
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209 | dividend.Value = 1.0;
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210 | parsedSubTree.AddSubtree(dividend);
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211 | parsedSubTree.AddSubtree(ParseSymbolicExpressionTree(parseStack));
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212 |
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213 | } else if (currentSymbol is VariableTerminalSymbol) {
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214 | VariableTreeNode varNode = (VariableTreeNode)varSy.CreateTreeNode();
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215 | varNode.Weight = 1.0;
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216 | varNode.VariableName = currentSymbol.StringRepresentation;
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217 | parsedSubTree = varNode;
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218 | }
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219 |
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220 | Debug.Assert(parsedSubTree != null);
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221 | return parsedSubTree;
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222 | }
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223 | #endregion
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224 | }
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225 | }
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