1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2019 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System;
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23 | using System.Collections.Generic;
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24 | using System.Linq;
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25 | using System.Reflection;
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26 | using System.Reflection.Emit;
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27 | using HeuristicLab.Common;
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28 | using HeuristicLab.Core;
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29 | using HeuristicLab.Data;
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30 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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31 | using HeuristicLab.Parameters;
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32 | using HEAL.Attic;
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33 |
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34 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
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35 | [StorableType("426718E3-2A57-4CA4-98A1-65EDD0B0BDBF")]
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36 | [Item("SymbolicDataAnalysisExpressionTreeILEmittingInterpreter", "Interpreter for symbolic expression trees.")]
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37 | public sealed class SymbolicDataAnalysisExpressionTreeILEmittingInterpreter : ParameterizedNamedItem, ISymbolicDataAnalysisExpressionTreeInterpreter {
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38 | private static readonly Type thisType = typeof(SymbolicDataAnalysisExpressionTreeILEmittingInterpreter);
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39 | internal delegate double CompiledFunction(int sampleIndex, IList<double>[] columns);
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40 |
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41 | #region method infos
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42 | private static MethodInfo listGetValue = typeof(IList<double>).GetProperty("Item", new Type[] { typeof(int) }).GetGetMethod();
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43 |
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44 | private static MethodInfo cos = typeof(Math).GetMethod("Cos", new Type[] { typeof(double) });
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45 | private static MethodInfo sin = typeof(Math).GetMethod("Sin", new Type[] { typeof(double) });
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46 | private static MethodInfo tan = typeof(Math).GetMethod("Tan", new Type[] { typeof(double) });
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47 | private static MethodInfo tanh = typeof(Math).GetMethod("Tanh", new Type[] { typeof(double) });
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48 | private static MethodInfo exp = typeof(Math).GetMethod("Exp", new Type[] { typeof(double) });
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49 | private static MethodInfo log = typeof(Math).GetMethod("Log", new Type[] { typeof(double) });
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50 | private static MethodInfo power = typeof(Math).GetMethod("Pow", new Type[] { typeof(double), typeof(double) });
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51 | private static MethodInfo round = typeof(Math).GetMethod("Round", new Type[] { typeof(double) });
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52 | private static MethodInfo sqrt = typeof(Math).GetMethod("Sqrt", new Type[] { typeof(double) });
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53 | private static MethodInfo abs = typeof(Math).GetMethod("Abs", new Type[] { typeof(double) });
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54 |
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55 | private static MethodInfo airyA = thisType.GetMethod("AiryA", new Type[] { typeof(double) });
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56 | private static MethodInfo airyB = thisType.GetMethod("AiryB", new Type[] { typeof(double) });
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57 | private static MethodInfo gamma = thisType.GetMethod("Gamma", new Type[] { typeof(double) });
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58 | private static MethodInfo psi = thisType.GetMethod("Psi", new Type[] { typeof(double) });
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59 | private static MethodInfo dawson = thisType.GetMethod("Dawson", new Type[] { typeof(double) });
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60 | private static MethodInfo expIntegralEi = thisType.GetMethod("ExpIntegralEi", new Type[] { typeof(double) });
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61 | private static MethodInfo sinIntegral = thisType.GetMethod("SinIntegral", new Type[] { typeof(double) });
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62 | private static MethodInfo cosIntegral = thisType.GetMethod("CosIntegral", new Type[] { typeof(double) });
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63 | private static MethodInfo hypSinIntegral = thisType.GetMethod("HypSinIntegral", new Type[] { typeof(double) });
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64 | private static MethodInfo hypCosIntegral = thisType.GetMethod("HypCosIntegral", new Type[] { typeof(double) });
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65 | private static MethodInfo fresnelCosIntegral = thisType.GetMethod("FresnelCosIntegral", new Type[] { typeof(double) });
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66 | private static MethodInfo fresnelSinIntegral = thisType.GetMethod("FresnelSinIntegral", new Type[] { typeof(double) });
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67 | private static MethodInfo norm = thisType.GetMethod("Norm", new Type[] { typeof(double) });
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68 | private static MethodInfo erf = thisType.GetMethod("Erf", new Type[] { typeof(double) });
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69 | private static MethodInfo bessel = thisType.GetMethod("Bessel", new Type[] { typeof(double) });
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70 | private static MethodInfo string_eq = typeof(string).GetMethod("Equals", new Type[] { typeof(string) });
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71 | #endregion
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72 |
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73 | private const string CheckExpressionsWithIntervalArithmeticParameterName = "CheckExpressionsWithIntervalArithmetic";
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74 | private const string CheckExpressionsWithIntervalArithmeticParameterDescription = "Switch that determines if the interpreter checks the validity of expressions with interval arithmetic before evaluating the expression.";
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75 | private const string EvaluatedSolutionsParameterName = "EvaluatedSolutions";
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76 |
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77 | public override bool CanChangeName {
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78 | get { return false; }
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79 | }
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80 |
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81 | public override bool CanChangeDescription {
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82 | get { return false; }
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83 | }
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84 |
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85 | #region parameter properties
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86 | public IFixedValueParameter<BoolValue> CheckExpressionsWithIntervalArithmeticParameter {
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87 | get { return (IFixedValueParameter<BoolValue>)Parameters[CheckExpressionsWithIntervalArithmeticParameterName]; }
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88 | }
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89 |
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90 | public IFixedValueParameter<IntValue> EvaluatedSolutionsParameter {
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91 | get { return (IFixedValueParameter<IntValue>)Parameters[EvaluatedSolutionsParameterName]; }
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92 | }
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93 | #endregion
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94 |
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95 | #region properties
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96 | public bool CheckExpressionsWithIntervalArithmetic {
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97 | get { return CheckExpressionsWithIntervalArithmeticParameter.Value.Value; }
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98 | set { CheckExpressionsWithIntervalArithmeticParameter.Value.Value = value; }
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99 | }
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100 | public int EvaluatedSolutions {
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101 | get { return EvaluatedSolutionsParameter.Value.Value; }
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102 | set { EvaluatedSolutionsParameter.Value.Value = value; }
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103 | }
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104 | #endregion
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105 |
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106 | [StorableConstructor]
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107 | private SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(StorableConstructorFlag _) : base(_) { }
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108 |
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109 | private SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(SymbolicDataAnalysisExpressionTreeILEmittingInterpreter original, Cloner cloner) : base(original, cloner) { }
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110 | public override IDeepCloneable Clone(Cloner cloner) {
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111 | return new SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(this, cloner);
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112 | }
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113 |
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114 | public SymbolicDataAnalysisExpressionTreeILEmittingInterpreter()
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115 | : base("SymbolicDataAnalysisExpressionTreeILEmittingInterpreter", "Interpreter for symbolic expression trees.") {
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116 | Parameters.Add(new FixedValueParameter<BoolValue>(CheckExpressionsWithIntervalArithmeticParameterName,
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117 | "Switch that determines if the interpreter checks the validity of expressions with interval arithmetic before evaluating the expression.", new BoolValue(false)));
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118 | Parameters.Add(new FixedValueParameter<IntValue>(EvaluatedSolutionsParameterName, "A counter for the total number of solutions the interpreter has evaluated", new IntValue(0)));
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119 | }
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120 |
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121 | public SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(string name, string description)
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122 | : base(name, description) {
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123 | Parameters.Add(new FixedValueParameter<BoolValue>(CheckExpressionsWithIntervalArithmeticParameterName,
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124 | "Switch that determines if the interpreter checks the validity of expressions with interval arithmetic before evaluating the expression.", new BoolValue(false)));
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125 | Parameters.Add(new FixedValueParameter<IntValue>(EvaluatedSolutionsParameterName, "A counter for the total number of solutions the interpreter has evaluated", new IntValue(0)));
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126 | }
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127 |
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128 | [StorableHook(HookType.AfterDeserialization)]
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129 | private void AfterDeserialization() {
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130 | var evaluatedSolutions = new IntValue(0);
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131 | var checkExpressionsWithIntervalArithmetic = new BoolValue(false);
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132 | if (Parameters.ContainsKey(EvaluatedSolutionsParameterName)) {
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133 | var evaluatedSolutionsParameter = (IValueParameter<IntValue>)Parameters[EvaluatedSolutionsParameterName];
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134 | evaluatedSolutions = evaluatedSolutionsParameter.Value;
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135 | Parameters.Remove(EvaluatedSolutionsParameterName);
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136 | }
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137 | Parameters.Add(new FixedValueParameter<IntValue>(EvaluatedSolutionsParameterName, "A counter for the total number of solutions the interpreter has evaluated", evaluatedSolutions));
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138 | if (Parameters.ContainsKey(CheckExpressionsWithIntervalArithmeticParameterName)) {
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139 | var checkExpressionsWithIntervalArithmeticParameter = (IValueParameter<BoolValue>)Parameters[CheckExpressionsWithIntervalArithmeticParameterName];
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140 | Parameters.Remove(CheckExpressionsWithIntervalArithmeticParameterName);
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141 | checkExpressionsWithIntervalArithmetic = checkExpressionsWithIntervalArithmeticParameter.Value;
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142 | }
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143 | Parameters.Add(new FixedValueParameter<BoolValue>(CheckExpressionsWithIntervalArithmeticParameterName, CheckExpressionsWithIntervalArithmeticParameterDescription, checkExpressionsWithIntervalArithmetic));
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144 | }
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145 |
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146 | #region IStatefulItem
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147 | public void InitializeState() {
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148 | EvaluatedSolutions = 0;
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149 | }
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150 |
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151 | public void ClearState() {
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152 | }
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153 | #endregion
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154 |
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155 | private readonly object syncRoot = new object();
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156 | public IEnumerable<double> GetSymbolicExpressionTreeValues(ISymbolicExpressionTree tree, IDataset dataset, IEnumerable<int> rows) {
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157 | if (CheckExpressionsWithIntervalArithmetic)
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158 | throw new NotSupportedException("Interval arithmetic is not yet supported in the symbolic data analysis interpreter.");
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159 |
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160 | lock (syncRoot) {
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161 | EvaluatedSolutions++; // increment the evaluated solutions counter
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162 | }
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163 | var state = PrepareInterpreterState(tree, dataset);
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164 |
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165 | Type[] methodArgs = { typeof(int), typeof(IList<double>[]) };
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166 | DynamicMethod testFun = new DynamicMethod("TestFun", typeof(double), methodArgs, typeof(SymbolicDataAnalysisExpressionTreeILEmittingInterpreter).Module);
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167 |
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168 | ILGenerator il = testFun.GetILGenerator();
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169 | CompileInstructions(il, state, dataset);
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170 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8);
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171 | il.Emit(System.Reflection.Emit.OpCodes.Ret);
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172 | var function = (CompiledFunction)testFun.CreateDelegate(typeof(CompiledFunction));
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173 |
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174 | IList<double>[] columns = dataset.DoubleVariables.Select(v => dataset.GetReadOnlyDoubleValues(v)).ToArray();
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175 |
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176 | foreach (var row in rows) {
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177 | yield return function(row, columns);
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178 | }
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179 | }
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180 |
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181 | private InterpreterState PrepareInterpreterState(ISymbolicExpressionTree tree, IDataset dataset) {
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182 | Instruction[] code = SymbolicExpressionTreeCompiler.Compile(tree, OpCode.MapSymbolToOpCode);
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183 | Dictionary<string, int> doubleVariableNames = dataset.DoubleVariables.Select((x, i) => new { x, i }).ToDictionary(e => e.x, e => e.i);
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184 | int necessaryArgStackSize = 0;
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185 | foreach (Instruction instr in code) {
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186 | if (instr.opCode == OpCode.Variable) {
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187 | var variableTreeNode = (VariableTreeNode)instr.dynamicNode;
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188 | instr.data = doubleVariableNames[variableTreeNode.VariableName];
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189 | } else if (instr.opCode == OpCode.LagVariable) {
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190 | var laggedVariableTreeNode = (LaggedVariableTreeNode)instr.dynamicNode;
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191 | instr.data = doubleVariableNames[laggedVariableTreeNode.VariableName];
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192 | } else if (instr.opCode == OpCode.VariableCondition) {
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193 | var variableConditionTreeNode = (VariableConditionTreeNode)instr.dynamicNode;
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194 | instr.data = doubleVariableNames[variableConditionTreeNode.VariableName];
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195 | } else if (instr.opCode == OpCode.Call) {
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196 | necessaryArgStackSize += instr.nArguments + 1;
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197 | }
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198 | }
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199 | return new InterpreterState(code, necessaryArgStackSize);
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200 | }
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201 |
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202 | private void CompileInstructions(ILGenerator il, InterpreterState state, IDataset ds) {
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203 | Instruction currentInstr = state.NextInstruction();
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204 | int nArgs = currentInstr.nArguments;
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205 |
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206 | switch (currentInstr.opCode) {
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207 | case OpCode.Add: {
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208 | if (nArgs > 0) {
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209 | CompileInstructions(il, state, ds);
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210 | }
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211 | for (int i = 1; i < nArgs; i++) {
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212 | CompileInstructions(il, state, ds);
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213 | il.Emit(System.Reflection.Emit.OpCodes.Add);
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214 | }
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215 | return;
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216 | }
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217 | case OpCode.Sub: {
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218 | if (nArgs == 1) {
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219 | CompileInstructions(il, state, ds);
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220 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
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221 | return;
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222 | }
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223 | if (nArgs > 0) {
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224 | CompileInstructions(il, state, ds);
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225 | }
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226 | for (int i = 1; i < nArgs; i++) {
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227 | CompileInstructions(il, state, ds);
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228 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
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229 | }
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230 | return;
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231 | }
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232 | case OpCode.Mul: {
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233 | if (nArgs > 0) {
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234 | CompileInstructions(il, state, ds);
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235 | }
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236 | for (int i = 1; i < nArgs; i++) {
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237 | CompileInstructions(il, state, ds);
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238 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
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239 | }
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240 | return;
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241 | }
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242 | case OpCode.Div: {
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243 | if (nArgs == 1) {
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244 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0);
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245 | CompileInstructions(il, state, ds);
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246 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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247 | return;
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248 | }
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249 | if (nArgs > 0) {
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250 | CompileInstructions(il, state, ds);
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251 | }
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252 | for (int i = 1; i < nArgs; i++) {
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253 | CompileInstructions(il, state, ds);
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254 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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255 | }
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256 | return;
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257 | }
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258 | case OpCode.Average: {
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259 | CompileInstructions(il, state, ds);
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260 | for (int i = 1; i < nArgs; i++) {
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261 | CompileInstructions(il, state, ds);
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262 | il.Emit(System.Reflection.Emit.OpCodes.Add);
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263 | }
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264 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, (double)nArgs);
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265 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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266 | return;
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267 | }
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268 | case OpCode.Absolute: {
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269 | CompileInstructions(il, state, ds);
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270 | il.Emit(System.Reflection.Emit.OpCodes.Call, abs);
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271 | return;
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272 | }
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273 | case OpCode.Cos: {
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274 | CompileInstructions(il, state, ds);
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275 | il.Emit(System.Reflection.Emit.OpCodes.Call, cos);
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276 | return;
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277 | }
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278 | case OpCode.Sin: {
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279 | CompileInstructions(il, state, ds);
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280 | il.Emit(System.Reflection.Emit.OpCodes.Call, sin);
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281 | return;
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282 | }
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283 | case OpCode.Tan: {
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284 | CompileInstructions(il, state, ds);
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285 | il.Emit(System.Reflection.Emit.OpCodes.Call, tan);
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286 | return;
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287 | }
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288 | case OpCode.Tanh: {
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289 | CompileInstructions(il, state, ds);
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290 | il.Emit(System.Reflection.Emit.OpCodes.Call, tanh);
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291 | return;
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292 | }
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293 | case OpCode.Power: {
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294 | CompileInstructions(il, state, ds);
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295 | CompileInstructions(il, state, ds);
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296 | il.Emit(System.Reflection.Emit.OpCodes.Call, round);
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297 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
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298 | return;
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299 | }
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300 | case OpCode.Root: {
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301 | CompileInstructions(il, state, ds);
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302 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1 / round(...)
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303 | CompileInstructions(il, state, ds);
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304 | il.Emit(System.Reflection.Emit.OpCodes.Call, round);
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305 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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306 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
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307 | return;
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308 | }
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309 | case OpCode.Exp: {
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310 | CompileInstructions(il, state, ds);
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311 | il.Emit(System.Reflection.Emit.OpCodes.Call, exp);
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312 | return;
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313 | }
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314 | case OpCode.Log: {
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315 | CompileInstructions(il, state, ds);
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316 | il.Emit(System.Reflection.Emit.OpCodes.Call, log);
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317 | return;
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318 | }
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319 | case OpCode.Square: {
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320 | CompileInstructions(il, state, ds);
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321 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0);
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322 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
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323 | return;
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324 | }
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325 | case OpCode.Cube: {
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326 | CompileInstructions(il, state, ds);
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327 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 3.0);
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328 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
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329 | return;
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330 | }
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331 | case OpCode.SquareRoot: {
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332 | CompileInstructions(il, state, ds);
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333 | il.Emit(System.Reflection.Emit.OpCodes.Call, sqrt);
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334 | return;
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335 | }
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336 | case OpCode.CubeRoot: {
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337 | CompileInstructions(il, state, ds);
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338 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0 / 3.0);
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339 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
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340 | return;
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341 | }
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342 | case OpCode.AiryA: {
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343 | CompileInstructions(il, state, ds);
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344 | il.Emit(System.Reflection.Emit.OpCodes.Call, airyA);
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345 | return;
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346 | }
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347 | case OpCode.AiryB: {
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348 | CompileInstructions(il, state, ds);
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349 | il.Emit(System.Reflection.Emit.OpCodes.Call, airyB);
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350 | return;
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351 | }
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352 | case OpCode.Bessel: {
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353 | CompileInstructions(il, state, ds);
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354 | il.Emit(System.Reflection.Emit.OpCodes.Call, bessel);
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355 | return;
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356 | }
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357 | case OpCode.CosineIntegral: {
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358 | CompileInstructions(il, state, ds);
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359 | il.Emit(System.Reflection.Emit.OpCodes.Call, cosIntegral);
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360 | return;
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361 | }
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362 | case OpCode.Dawson: {
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363 | CompileInstructions(il, state, ds);
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364 | il.Emit(System.Reflection.Emit.OpCodes.Call, dawson);
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365 | return;
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366 | }
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367 | case OpCode.Erf: {
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368 | CompileInstructions(il, state, ds);
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369 | il.Emit(System.Reflection.Emit.OpCodes.Call, erf);
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370 | return;
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371 | }
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372 | case OpCode.ExponentialIntegralEi: {
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373 | CompileInstructions(il, state, ds);
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374 | il.Emit(System.Reflection.Emit.OpCodes.Call, expIntegralEi);
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375 | return;
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376 | }
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377 | case OpCode.FresnelCosineIntegral: {
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378 | CompileInstructions(il, state, ds);
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379 | il.Emit(System.Reflection.Emit.OpCodes.Call, fresnelCosIntegral);
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380 | return;
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381 | }
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382 | case OpCode.FresnelSineIntegral: {
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383 | CompileInstructions(il, state, ds);
|
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384 | il.Emit(System.Reflection.Emit.OpCodes.Call, fresnelSinIntegral);
|
---|
385 | return;
|
---|
386 | }
|
---|
387 | case OpCode.Gamma: {
|
---|
388 | CompileInstructions(il, state, ds);
|
---|
389 | il.Emit(System.Reflection.Emit.OpCodes.Call, gamma);
|
---|
390 | return;
|
---|
391 | }
|
---|
392 | case OpCode.HyperbolicCosineIntegral: {
|
---|
393 | CompileInstructions(il, state, ds);
|
---|
394 | il.Emit(System.Reflection.Emit.OpCodes.Call, hypCosIntegral);
|
---|
395 | return;
|
---|
396 | }
|
---|
397 | case OpCode.HyperbolicSineIntegral: {
|
---|
398 | CompileInstructions(il, state, ds);
|
---|
399 | il.Emit(System.Reflection.Emit.OpCodes.Call, hypSinIntegral);
|
---|
400 | return;
|
---|
401 | }
|
---|
402 | case OpCode.Norm: {
|
---|
403 | CompileInstructions(il, state, ds);
|
---|
404 | il.Emit(System.Reflection.Emit.OpCodes.Call, norm);
|
---|
405 | return;
|
---|
406 | }
|
---|
407 | case OpCode.Psi: {
|
---|
408 | CompileInstructions(il, state, ds);
|
---|
409 | il.Emit(System.Reflection.Emit.OpCodes.Call, psi);
|
---|
410 | return;
|
---|
411 | }
|
---|
412 | case OpCode.SineIntegral: {
|
---|
413 | CompileInstructions(il, state, ds);
|
---|
414 | il.Emit(System.Reflection.Emit.OpCodes.Call, sinIntegral);
|
---|
415 | return;
|
---|
416 | }
|
---|
417 | case OpCode.AnalyticQuotient: {
|
---|
418 | CompileInstructions(il, state, ds); // x1
|
---|
419 | CompileInstructions(il, state, ds); // x2
|
---|
420 |
|
---|
421 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
422 | il.Emit(System.Reflection.Emit.OpCodes.Mul); // x2*x2
|
---|
423 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0);
|
---|
424 | il.Emit(System.Reflection.Emit.OpCodes.Mul); // 1+x2*x2
|
---|
425 | il.Emit(System.Reflection.Emit.OpCodes.Call, sqrt);
|
---|
426 | il.Emit(System.Reflection.Emit.OpCodes.Div);
|
---|
427 | return;
|
---|
428 | }
|
---|
429 | case OpCode.IfThenElse: {
|
---|
430 | Label end = il.DefineLabel();
|
---|
431 | Label c1 = il.DefineLabel();
|
---|
432 | CompileInstructions(il, state, ds);
|
---|
433 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // > 0
|
---|
434 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
435 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, c1);
|
---|
436 | CompileInstructions(il, state, ds);
|
---|
437 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
438 | il.MarkLabel(c1);
|
---|
439 | CompileInstructions(il, state, ds);
|
---|
440 | il.MarkLabel(end);
|
---|
441 | return;
|
---|
442 | }
|
---|
443 | case OpCode.AND: {
|
---|
444 | Label falseBranch = il.DefineLabel();
|
---|
445 | Label end = il.DefineLabel();
|
---|
446 | CompileInstructions(il, state, ds);
|
---|
447 | for (int i = 1; i < nArgs; i++) {
|
---|
448 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // > 0
|
---|
449 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
450 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, falseBranch);
|
---|
451 | CompileInstructions(il, state, ds);
|
---|
452 | }
|
---|
453 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // > 0
|
---|
454 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
455 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, falseBranch);
|
---|
456 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1
|
---|
457 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
458 | il.MarkLabel(falseBranch);
|
---|
459 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // -1
|
---|
460 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
|
---|
461 | il.MarkLabel(end);
|
---|
462 | return;
|
---|
463 | }
|
---|
464 | case OpCode.OR: {
|
---|
465 | Label trueBranch = il.DefineLabel();
|
---|
466 | Label end = il.DefineLabel();
|
---|
467 | Label resultBranch = il.DefineLabel();
|
---|
468 | CompileInstructions(il, state, ds);
|
---|
469 | for (int i = 1; i < nArgs; i++) {
|
---|
470 | Label nextArgBranch = il.DefineLabel();
|
---|
471 | // complex definition because of special properties of NaN
|
---|
472 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
473 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // <= 0
|
---|
474 | il.Emit(System.Reflection.Emit.OpCodes.Ble, nextArgBranch);
|
---|
475 | il.Emit(System.Reflection.Emit.OpCodes.Br, resultBranch);
|
---|
476 | il.MarkLabel(nextArgBranch);
|
---|
477 | il.Emit(System.Reflection.Emit.OpCodes.Pop);
|
---|
478 | CompileInstructions(il, state, ds);
|
---|
479 | }
|
---|
480 | il.MarkLabel(resultBranch);
|
---|
481 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // > 0
|
---|
482 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
483 | il.Emit(System.Reflection.Emit.OpCodes.Brtrue, trueBranch);
|
---|
484 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // -1
|
---|
485 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
|
---|
486 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
487 | il.MarkLabel(trueBranch);
|
---|
488 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1
|
---|
489 | il.MarkLabel(end);
|
---|
490 | return;
|
---|
491 | }
|
---|
492 | case OpCode.NOT: {
|
---|
493 | CompileInstructions(il, state, ds);
|
---|
494 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0); // > 0
|
---|
495 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
496 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8); // convert to float64
|
---|
497 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
498 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
499 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
500 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
501 | il.Emit(System.Reflection.Emit.OpCodes.Neg); // * -1
|
---|
502 | return;
|
---|
503 | }
|
---|
504 | case OpCode.XOR: {
|
---|
505 | CompileInstructions(il, state, ds);
|
---|
506 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0);
|
---|
507 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);// > 0
|
---|
508 |
|
---|
509 | for (int i = 1; i < nArgs; i++) {
|
---|
510 | CompileInstructions(il, state, ds);
|
---|
511 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 0.0);
|
---|
512 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);// > 0
|
---|
513 | il.Emit(System.Reflection.Emit.OpCodes.Xor);
|
---|
514 | }
|
---|
515 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8); // convert to float64
|
---|
516 |
|
---|
517 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
518 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
519 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
520 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
521 | return;
|
---|
522 | }
|
---|
523 | case OpCode.GT: {
|
---|
524 | CompileInstructions(il, state, ds);
|
---|
525 | CompileInstructions(il, state, ds);
|
---|
526 |
|
---|
527 | il.Emit(System.Reflection.Emit.OpCodes.Cgt); // 1 (>) / 0 (otherwise)
|
---|
528 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8); // convert to float64
|
---|
529 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
530 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
531 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
532 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
533 | return;
|
---|
534 | }
|
---|
535 | case OpCode.LT: {
|
---|
536 | CompileInstructions(il, state, ds);
|
---|
537 | CompileInstructions(il, state, ds);
|
---|
538 | il.Emit(System.Reflection.Emit.OpCodes.Clt);
|
---|
539 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8); // convert to float64
|
---|
540 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
541 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
542 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
543 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
544 | return;
|
---|
545 | }
|
---|
546 | case OpCode.TimeLag: {
|
---|
547 | LaggedTreeNode laggedTreeNode = (LaggedTreeNode)currentInstr.dynamicNode;
|
---|
548 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -= lag
|
---|
549 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
550 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
551 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
552 | var prevLaggedContext = state.InLaggedContext;
|
---|
553 | state.InLaggedContext = true;
|
---|
554 | CompileInstructions(il, state, ds);
|
---|
555 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row += lag
|
---|
556 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
557 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
558 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
559 | state.InLaggedContext = prevLaggedContext;
|
---|
560 | return;
|
---|
561 | }
|
---|
562 | case OpCode.Integral: {
|
---|
563 | int savedPc = state.ProgramCounter;
|
---|
564 | LaggedTreeNode laggedTreeNode = (LaggedTreeNode)currentInstr.dynamicNode;
|
---|
565 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -= lag
|
---|
566 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
567 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
568 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
569 | var prevLaggedContext = state.InLaggedContext;
|
---|
570 | state.InLaggedContext = true;
|
---|
571 | CompileInstructions(il, state, ds);
|
---|
572 | for (int l = laggedTreeNode.Lag; l < 0; l++) {
|
---|
573 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row += lag
|
---|
574 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_1);
|
---|
575 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
576 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
577 | state.ProgramCounter = savedPc;
|
---|
578 | CompileInstructions(il, state, ds);
|
---|
579 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
580 | }
|
---|
581 | state.InLaggedContext = prevLaggedContext;
|
---|
582 | return;
|
---|
583 | }
|
---|
584 |
|
---|
585 | //mkommend: derivate calculation taken from:
|
---|
586 | //http://www.holoborodko.com/pavel/numerical-methods/numerical-derivative/smooth-low-noise-differentiators/
|
---|
587 | //one sided smooth differentiatior, N = 4
|
---|
588 | // y' = 1/8h (f_i + 2f_i-1, -2 f_i-3 - f_i-4)
|
---|
589 | case OpCode.Derivative: {
|
---|
590 | int savedPc = state.ProgramCounter;
|
---|
591 | CompileInstructions(il, state, ds);
|
---|
592 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row --
|
---|
593 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_M1);
|
---|
594 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
595 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
596 | state.ProgramCounter = savedPc;
|
---|
597 | var prevLaggedContext = state.InLaggedContext;
|
---|
598 | state.InLaggedContext = true;
|
---|
599 | CompileInstructions(il, state, ds);
|
---|
600 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // f_0 + 2 * f_1
|
---|
601 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
602 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
603 |
|
---|
604 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -=2
|
---|
605 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_2);
|
---|
606 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
607 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
608 | state.ProgramCounter = savedPc;
|
---|
609 | CompileInstructions(il, state, ds);
|
---|
610 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // f_0 + 2 * f_1 - 2 * f_3
|
---|
611 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
612 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
613 |
|
---|
614 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row --
|
---|
615 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_M1);
|
---|
616 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
617 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
618 | state.ProgramCounter = savedPc;
|
---|
619 | CompileInstructions(il, state, ds);
|
---|
620 | il.Emit(System.Reflection.Emit.OpCodes.Sub); // f_0 + 2 * f_1 - 2 * f_3 - f_4
|
---|
621 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 8.0); // / 8
|
---|
622 | il.Emit(System.Reflection.Emit.OpCodes.Div);
|
---|
623 |
|
---|
624 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row +=4
|
---|
625 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_4);
|
---|
626 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
627 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
628 | state.InLaggedContext = prevLaggedContext;
|
---|
629 | return;
|
---|
630 | }
|
---|
631 | case OpCode.Call: {
|
---|
632 | throw new NotSupportedException(
|
---|
633 | "Automatically defined functions are not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter. Either turn of ADFs or change the interpeter.");
|
---|
634 | }
|
---|
635 | case OpCode.Arg: {
|
---|
636 | throw new NotSupportedException(
|
---|
637 | "Automatically defined functions are not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter. Either turn of ADFs or change the interpeter.");
|
---|
638 | }
|
---|
639 | case OpCode.Variable: {
|
---|
640 | VariableTreeNode varNode = (VariableTreeNode)currentInstr.dynamicNode;
|
---|
641 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_1); // load columns array
|
---|
642 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, (int)currentInstr.data);
|
---|
643 | // load correct column of the current variable
|
---|
644 | il.Emit(System.Reflection.Emit.OpCodes.Ldelem_Ref);
|
---|
645 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // rowIndex
|
---|
646 | if (!state.InLaggedContext) {
|
---|
647 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
648 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
649 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
650 | } else {
|
---|
651 | var nanResult = il.DefineLabel();
|
---|
652 | var normalResult = il.DefineLabel();
|
---|
653 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
654 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0);
|
---|
655 | il.Emit(System.Reflection.Emit.OpCodes.Blt, nanResult);
|
---|
656 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
657 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, ds.Rows);
|
---|
658 | il.Emit(System.Reflection.Emit.OpCodes.Bge, nanResult);
|
---|
659 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
660 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
661 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
662 | il.Emit(System.Reflection.Emit.OpCodes.Br, normalResult);
|
---|
663 | il.MarkLabel(nanResult);
|
---|
664 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // rowIndex
|
---|
665 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // column reference
|
---|
666 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, double.NaN);
|
---|
667 | il.MarkLabel(normalResult);
|
---|
668 | }
|
---|
669 | return;
|
---|
670 | }
|
---|
671 | case OpCode.LagVariable: {
|
---|
672 | var nanResult = il.DefineLabel();
|
---|
673 | var normalResult = il.DefineLabel();
|
---|
674 | LaggedVariableTreeNode varNode = (LaggedVariableTreeNode)currentInstr.dynamicNode;
|
---|
675 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_1); // load columns array
|
---|
676 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, (int)currentInstr.data);
|
---|
677 | // load correct column of the current variable
|
---|
678 | il.Emit(System.Reflection.Emit.OpCodes.Ldelem_Ref);
|
---|
679 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, varNode.Lag); // lag
|
---|
680 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // rowIndex
|
---|
681 | il.Emit(System.Reflection.Emit.OpCodes.Add); // actualRowIndex = rowIndex + sampleOffset
|
---|
682 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
683 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0);
|
---|
684 | il.Emit(System.Reflection.Emit.OpCodes.Blt, nanResult);
|
---|
685 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
686 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, ds.Rows);
|
---|
687 | il.Emit(System.Reflection.Emit.OpCodes.Bge, nanResult);
|
---|
688 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
689 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
690 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
691 | il.Emit(System.Reflection.Emit.OpCodes.Br, normalResult);
|
---|
692 | il.MarkLabel(nanResult);
|
---|
693 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // sample index
|
---|
694 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // column reference
|
---|
695 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, double.NaN);
|
---|
696 | il.MarkLabel(normalResult);
|
---|
697 | return;
|
---|
698 | }
|
---|
699 | case OpCode.Constant: {
|
---|
700 | ConstantTreeNode constNode = (ConstantTreeNode)currentInstr.dynamicNode;
|
---|
701 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, constNode.Value);
|
---|
702 | return;
|
---|
703 | }
|
---|
704 |
|
---|
705 | //mkommend: this symbol uses the logistic function f(x) = 1 / (1 + e^(-alpha * x) )
|
---|
706 | //to determine the relative amounts of the true and false branch see http://en.wikipedia.org/wiki/Logistic_function
|
---|
707 | case OpCode.VariableCondition: {
|
---|
708 | throw new NotSupportedException("Interpretation of symbol " + currentInstr.dynamicNode.Symbol.Name +
|
---|
709 | " is not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter");
|
---|
710 | }
|
---|
711 | default:
|
---|
712 | throw new NotSupportedException("Interpretation of symbol " + currentInstr.dynamicNode.Symbol.Name +
|
---|
713 | " is not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter");
|
---|
714 | }
|
---|
715 | }
|
---|
716 |
|
---|
717 | public static double AiryA(double x) {
|
---|
718 | if (double.IsNaN(x)) return double.NaN;
|
---|
719 | double ai, aip, bi, bip;
|
---|
720 | alglib.airy(x, out ai, out aip, out bi, out bip);
|
---|
721 | return ai;
|
---|
722 | }
|
---|
723 |
|
---|
724 | public static double AiryB(double x) {
|
---|
725 | if (double.IsNaN(x)) return double.NaN;
|
---|
726 | double ai, aip, bi, bip;
|
---|
727 | alglib.airy(x, out ai, out aip, out bi, out bip);
|
---|
728 | return bi;
|
---|
729 | }
|
---|
730 | public static double Dawson(double x) {
|
---|
731 | if (double.IsNaN(x)) return double.NaN;
|
---|
732 | return alglib.dawsonintegral(x);
|
---|
733 | }
|
---|
734 |
|
---|
735 | public static double Gamma(double x) {
|
---|
736 | if (double.IsNaN(x)) return double.NaN;
|
---|
737 | return alglib.gammafunction(x);
|
---|
738 | }
|
---|
739 |
|
---|
740 | public static double Psi(double x) {
|
---|
741 | if (double.IsNaN(x)) return double.NaN;
|
---|
742 | else if (x <= 0 && (Math.Floor(x) - x).IsAlmost(0)) return double.NaN;
|
---|
743 | return alglib.psi(x);
|
---|
744 | }
|
---|
745 |
|
---|
746 | public static double ExpIntegralEi(double x) {
|
---|
747 | if (double.IsNaN(x)) return double.NaN;
|
---|
748 | return alglib.exponentialintegralei(x);
|
---|
749 | }
|
---|
750 |
|
---|
751 | public static double SinIntegral(double x) {
|
---|
752 | if (double.IsNaN(x)) return double.NaN;
|
---|
753 | double si, ci;
|
---|
754 | alglib.sinecosineintegrals(x, out si, out ci);
|
---|
755 | return si;
|
---|
756 | }
|
---|
757 |
|
---|
758 | public static double CosIntegral(double x) {
|
---|
759 | if (double.IsNaN(x)) return double.NaN;
|
---|
760 | double si, ci;
|
---|
761 | alglib.sinecosineintegrals(x, out si, out ci);
|
---|
762 | return ci;
|
---|
763 | }
|
---|
764 |
|
---|
765 | public static double HypSinIntegral(double x) {
|
---|
766 | if (double.IsNaN(x)) return double.NaN;
|
---|
767 | double shi, chi;
|
---|
768 | alglib.hyperbolicsinecosineintegrals(x, out shi, out chi);
|
---|
769 | return shi;
|
---|
770 | }
|
---|
771 |
|
---|
772 | public static double HypCosIntegral(double x) {
|
---|
773 | if (double.IsNaN(x)) return double.NaN;
|
---|
774 | double shi, chi;
|
---|
775 | alglib.hyperbolicsinecosineintegrals(x, out shi, out chi);
|
---|
776 | return chi;
|
---|
777 | }
|
---|
778 |
|
---|
779 | public static double FresnelCosIntegral(double x) {
|
---|
780 | if (double.IsNaN(x)) return double.NaN;
|
---|
781 | double c = 0, s = 0;
|
---|
782 | alglib.fresnelintegral(x, ref c, ref s);
|
---|
783 | return c;
|
---|
784 | }
|
---|
785 |
|
---|
786 | public static double FresnelSinIntegral(double x) {
|
---|
787 | if (double.IsNaN(x)) return double.NaN;
|
---|
788 | double c = 0, s = 0;
|
---|
789 | alglib.fresnelintegral(x, ref c, ref s);
|
---|
790 | return s;
|
---|
791 | }
|
---|
792 |
|
---|
793 | public static double Norm(double x) {
|
---|
794 | if (double.IsNaN(x)) return double.NaN;
|
---|
795 | return alglib.normaldistribution(x);
|
---|
796 | }
|
---|
797 |
|
---|
798 | public static double Erf(double x) {
|
---|
799 | if (double.IsNaN(x)) return double.NaN;
|
---|
800 | return alglib.errorfunction(x);
|
---|
801 | }
|
---|
802 |
|
---|
803 | public static double Bessel(double x) {
|
---|
804 | if (double.IsNaN(x)) return double.NaN;
|
---|
805 | return alglib.besseli0(x);
|
---|
806 | }
|
---|
807 | }
|
---|
808 | }
|
---|