1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2012 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System;
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23 | using System.Collections.Generic;
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24 | using 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 HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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33 |
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34 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
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35 | [StorableClass]
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36 | [Item("SymbolicDataAnalysisExpressionTreeILEmittingInterpreter", "Interpreter for symbolic expression trees.")]
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37 | public sealed class SymbolicDataAnalysisExpressionTreeILEmittingInterpreter : ParameterizedNamedItem,
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38 | ISymbolicDataAnalysisExpressionTreeInterpreter {
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39 | private static MethodInfo listGetValue =
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40 | typeof(IList<double>).GetProperty("Item", new Type[] { typeof(int) }).GetGetMethod();
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41 |
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42 | private static MethodInfo cos = typeof(Math).GetMethod("Cos", new Type[] { typeof(double) });
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43 | private static MethodInfo sin = typeof(Math).GetMethod("Sin", new Type[] { typeof(double) });
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44 | private static MethodInfo tan = typeof(Math).GetMethod("Tan", new Type[] { typeof(double) });
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45 | private static MethodInfo exp = typeof(Math).GetMethod("Exp", new Type[] { typeof(double) });
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46 | private static MethodInfo log = typeof(Math).GetMethod("Log", new Type[] { typeof(double) });
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47 | private static MethodInfo power = typeof(Math).GetMethod("Pow", new Type[] { typeof(double), typeof(double) });
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48 | private static MethodInfo round = typeof(Math).GetMethod("Round", new Type[] { typeof(double) });
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49 | private static MethodInfo sqrt = typeof(Math).GetMethod("Sqrt", new Type[] { typeof(double) });
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50 |
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51 | private static Type thisType = typeof(SymbolicDataAnalysisExpressionTreeILEmittingInterpreter);
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52 | private static MethodInfo airyA = thisType.GetMethod("AiryA", new Type[] { typeof(double) });
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53 | private static MethodInfo airyB = thisType.GetMethod("AiryB", new Type[] { typeof(double) });
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54 | private static MethodInfo gamma = thisType.GetMethod("Gamma", new Type[] { typeof(double) });
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55 | private static MethodInfo psi = thisType.GetMethod("Psi", new Type[] { typeof(double) });
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56 | private static MethodInfo dawson = thisType.GetMethod("Dawson", new Type[] { typeof(double) });
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57 | private static MethodInfo expIntegralEi = thisType.GetMethod("ExpIntegralEi", new Type[] { typeof(double) });
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58 | private static MethodInfo sinIntegral = thisType.GetMethod("SinIntegral", new Type[] { typeof(double) });
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59 | private static MethodInfo cosIntegral = thisType.GetMethod("CosIntegral", new Type[] { typeof(double) });
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60 | private static MethodInfo hypSinIntegral = thisType.GetMethod("HypSinIntegral", new Type[] { typeof(double) });
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61 | private static MethodInfo hypCosIntegral = thisType.GetMethod("HypCosIntegral", new Type[] { typeof(double) });
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62 | private static MethodInfo fresnelCosIntegral = thisType.GetMethod("FresnelCosIntegral", new Type[] { typeof(double) });
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63 | private static MethodInfo fresnelSinIntegral = thisType.GetMethod("FresnelSinIntegral", new Type[] { typeof(double) });
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64 | private static MethodInfo norm = thisType.GetMethod("Norm", new Type[] { typeof(double) });
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65 | private static MethodInfo erf = thisType.GetMethod("Erf", new Type[] { typeof(double) });
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66 | private static MethodInfo bessel = thisType.GetMethod("Bessel", new Type[] { typeof(double) });
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67 |
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68 | internal delegate double CompiledFunction(int sampleIndex, IList<double>[] columns);
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69 |
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70 | private const string CheckExpressionsWithIntervalArithmeticParameterName = "CheckExpressionsWithIntervalArithmetic";
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71 | private const string EvaluatedSolutionsParameterName = "EvaluatedSolutions";
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72 |
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73 | #region private classes
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74 |
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75 | private class InterpreterState {
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76 | private Instruction[] code;
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77 | private int pc;
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78 |
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79 | public int ProgramCounter {
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80 | get { return pc; }
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81 | set { pc = value; }
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82 | }
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83 |
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84 | private bool inLaggedContext;
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85 |
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86 | public bool InLaggedContext {
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87 | get { return inLaggedContext; }
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88 | set { inLaggedContext = value; }
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89 | }
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90 |
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91 | internal InterpreterState(Instruction[] code) {
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92 | this.inLaggedContext = false;
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93 | this.code = code;
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94 | this.pc = 0;
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95 | }
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96 |
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97 | internal Instruction NextInstruction() {
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98 | return code[pc++];
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99 | }
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100 | }
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101 |
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102 | private class OpCodes {
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103 | public const byte Add = 1;
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104 | public const byte Sub = 2;
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105 | public const byte Mul = 3;
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106 | public const byte Div = 4;
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107 |
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108 | public const byte Sin = 5;
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109 | public const byte Cos = 6;
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110 | public const byte Tan = 7;
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111 |
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112 | public const byte Log = 8;
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113 | public const byte Exp = 9;
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114 |
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115 | public const byte IfThenElse = 10;
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116 |
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117 | public const byte GT = 11;
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118 | public const byte LT = 12;
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119 |
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120 | public const byte AND = 13;
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121 | public const byte OR = 14;
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122 | public const byte NOT = 15;
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123 |
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124 |
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125 | public const byte Average = 16;
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126 |
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127 | public const byte Call = 17;
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128 |
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129 | public const byte Variable = 18;
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130 | public const byte LagVariable = 19;
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131 | public const byte Constant = 20;
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132 | public const byte Arg = 21;
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133 |
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134 | public const byte Power = 22;
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135 | public const byte Root = 23;
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136 | public const byte TimeLag = 24;
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137 | public const byte Integral = 25;
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138 | public const byte Derivative = 26;
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139 |
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140 | public const byte VariableCondition = 27;
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141 |
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142 | public const byte Square = 28;
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143 | public const byte SquareRoot = 29;
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144 | public const byte Gamma = 30;
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145 | public const byte Psi = 31;
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146 | public const byte Dawson = 32;
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147 | public const byte ExponentialIntegralEi = 33;
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148 | public const byte CosineIntegral = 34;
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149 | public const byte SineIntegral = 35;
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150 | public const byte HyperbolicCosineIntegral = 36;
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151 | public const byte HyperbolicSineIntegral = 37;
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152 | public const byte FresnelCosineIntegral = 38;
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153 | public const byte FresnelSineIntegral = 39;
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154 | public const byte AiryA = 40;
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155 | public const byte AiryB = 41;
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156 | public const byte Norm = 42;
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157 | public const byte Erf = 43;
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158 | public const byte Bessel = 44;
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159 | }
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160 |
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161 | #endregion
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162 |
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163 | private Dictionary<Type, byte> symbolToOpcode = new Dictionary<Type, byte>()
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164 | {
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165 | {typeof (Addition), OpCodes.Add},
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166 | {typeof (Subtraction), OpCodes.Sub},
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167 | {typeof (Multiplication), OpCodes.Mul},
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168 | {typeof (Division), OpCodes.Div},
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169 | {typeof (Sine), OpCodes.Sin},
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170 | {typeof (Cosine), OpCodes.Cos},
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171 | {typeof (Tangent), OpCodes.Tan},
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172 | {typeof (Logarithm), OpCodes.Log},
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173 | {typeof (Exponential), OpCodes.Exp},
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174 | {typeof (IfThenElse), OpCodes.IfThenElse},
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175 | {typeof (GreaterThan), OpCodes.GT},
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176 | {typeof (LessThan), OpCodes.LT},
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177 | {typeof (And), OpCodes.AND},
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178 | {typeof (Or), OpCodes.OR},
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179 | {typeof (Not), OpCodes.NOT},
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180 | {typeof (Average), OpCodes.Average},
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181 | {typeof (InvokeFunction), OpCodes.Call},
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182 | {
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183 | typeof (HeuristicLab.Problems.DataAnalysis.Symbolic.Variable),
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184 | OpCodes.Variable
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185 | },
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186 | {typeof (LaggedVariable), OpCodes.LagVariable},
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187 | {typeof (Constant), OpCodes.Constant},
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188 | {typeof (Argument), OpCodes.Arg},
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189 | {typeof (Power), OpCodes.Power},
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190 | {typeof (Root), OpCodes.Root},
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191 | {typeof (TimeLag), OpCodes.TimeLag},
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192 | {typeof (Integral), OpCodes.Integral},
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193 | {typeof (Derivative), OpCodes.Derivative},
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194 | {typeof (VariableCondition), OpCodes.VariableCondition},
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195 | {typeof (Square), OpCodes.Square},
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196 | {typeof (SquareRoot), OpCodes.SquareRoot},
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197 | {typeof (Gamma), OpCodes.Gamma},
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198 | {typeof (Psi), OpCodes.Psi},
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199 | {typeof (Dawson), OpCodes.Dawson},
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200 | {typeof (ExponentialIntegralEi), OpCodes.ExponentialIntegralEi},
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201 | {typeof (CosineIntegral), OpCodes.CosineIntegral},
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202 | {typeof (SineIntegral), OpCodes.SineIntegral},
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203 | {
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204 | typeof (HyperbolicCosineIntegral),
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205 | OpCodes.HyperbolicCosineIntegral
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206 | },
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207 | {
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208 | typeof (HyperbolicSineIntegral), OpCodes.HyperbolicSineIntegral
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209 | },
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210 | {typeof (FresnelCosineIntegral), OpCodes.FresnelCosineIntegral},
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211 | {typeof (FresnelSineIntegral), OpCodes.FresnelSineIntegral},
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212 | {typeof (AiryA), OpCodes.AiryA},
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213 | {typeof (AiryB), OpCodes.AiryB},
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214 | {typeof (Norm), OpCodes.Norm},
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215 | {typeof (Erf), OpCodes.Erf},
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216 | {typeof (Bessel), OpCodes.Bessel}
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217 | };
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218 |
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219 | public override bool CanChangeName {
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220 | get { return false; }
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221 | }
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222 |
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223 | public override bool CanChangeDescription {
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224 | get { return false; }
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225 | }
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226 |
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227 | #region parameter properties
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228 |
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229 | public IValueParameter<BoolValue> CheckExpressionsWithIntervalArithmeticParameter {
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230 | get { return (IValueParameter<BoolValue>)Parameters[CheckExpressionsWithIntervalArithmeticParameterName]; }
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231 | }
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232 |
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233 | public IValueParameter<IntValue> EvaluatedSolutionsParameter {
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234 | get { return (IValueParameter<IntValue>)Parameters[EvaluatedSolutionsParameterName]; }
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235 | }
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236 |
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237 | #endregion
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238 |
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239 | #region properties
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240 |
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241 | public BoolValue CheckExpressionsWithIntervalArithmetic {
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242 | get { return CheckExpressionsWithIntervalArithmeticParameter.Value; }
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243 | set { CheckExpressionsWithIntervalArithmeticParameter.Value = value; }
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244 | }
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245 |
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246 | public IntValue EvaluatedSolutions {
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247 | get { return EvaluatedSolutionsParameter.Value; }
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248 | set { EvaluatedSolutionsParameter.Value = value; }
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249 | }
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250 |
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251 | #endregion
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252 |
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253 |
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254 | [StorableConstructor]
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255 | private SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(bool deserializing)
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256 | : base(deserializing) {
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257 | }
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258 |
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259 | private SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(
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260 | SymbolicDataAnalysisExpressionTreeILEmittingInterpreter original, Cloner cloner)
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261 | : base(original, cloner) {
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262 | }
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263 |
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264 | public override IDeepCloneable Clone(Cloner cloner) {
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265 | return new SymbolicDataAnalysisExpressionTreeILEmittingInterpreter(this, cloner);
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266 | }
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267 |
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268 | public SymbolicDataAnalysisExpressionTreeILEmittingInterpreter()
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269 | : base("SymbolicDataAnalysisExpressionTreeILEmittingInterpreter", "Interpreter for symbolic expression trees.") {
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270 | Parameters.Add(new ValueParameter<BoolValue>(CheckExpressionsWithIntervalArithmeticParameterName,
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271 | "Switch that determines if the interpreter checks the validity of expressions with interval arithmetic before evaluating the expression.",
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272 | new BoolValue(false)));
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273 | Parameters.Add(new ValueParameter<IntValue>(EvaluatedSolutionsParameterName,
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274 | "A counter for the total number of solutions the interpreter has evaluated",
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275 | new IntValue(0)));
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276 | }
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277 |
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278 | [StorableHook(HookType.AfterDeserialization)]
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279 | private void AfterDeserialization() {
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280 | if (!Parameters.ContainsKey(EvaluatedSolutionsParameterName))
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281 | Parameters.Add(new ValueParameter<IntValue>(EvaluatedSolutionsParameterName,
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282 | "A counter for the total number of solutions the interpreter has evaluated",
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283 | new IntValue(0)));
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284 | }
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285 |
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286 | #region IStatefulItem
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287 |
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288 | public void InitializeState() {
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289 | EvaluatedSolutions.Value = 0;
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290 | }
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291 |
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292 | public void ClearState() {
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293 | EvaluatedSolutions.Value = 0;
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294 | }
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295 |
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296 | #endregion
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297 |
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298 | public IEnumerable<double> GetSymbolicExpressionTreeValues(ISymbolicExpressionTree tree, Dataset dataset,
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299 | IEnumerable<int> rows) {
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300 | if (CheckExpressionsWithIntervalArithmetic.Value)
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301 | throw new NotSupportedException(
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302 | "Interval arithmetic is not yet supported in the symbolic data analysis interpreter.");
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303 | EvaluatedSolutions.Value++; // increment the evaluated solutions counter
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304 | var compiler = new SymbolicExpressionTreeCompiler();
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305 | Instruction[] code = compiler.Compile(tree, MapSymbolToOpCode);
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306 | int necessaryArgStackSize = 0;
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307 |
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308 | Dictionary<string, int> doubleVariableNames =
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309 | dataset.DoubleVariables.Select((x, i) => new { x, i }).ToDictionary(e => e.x, e => e.i);
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310 | IList<double>[] columns = (from v in doubleVariableNames.Keys
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311 | select dataset.GetReadOnlyDoubleValues(v))
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312 | .ToArray();
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313 |
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314 | for (int i = 0; i < code.Length; i++) {
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315 | Instruction instr = code[i];
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316 | if (instr.opCode == OpCodes.Variable) {
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317 | var variableTreeNode = instr.dynamicNode as VariableTreeNode;
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318 | instr.iArg0 = doubleVariableNames[variableTreeNode.VariableName];
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319 | code[i] = instr;
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320 | } else if (instr.opCode == OpCodes.LagVariable) {
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321 | var variableTreeNode = instr.dynamicNode as LaggedVariableTreeNode;
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322 | instr.iArg0 = doubleVariableNames[variableTreeNode.VariableName];
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323 | code[i] = instr;
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324 | } else if (instr.opCode == OpCodes.VariableCondition) {
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325 | var variableConditionTreeNode = instr.dynamicNode as VariableConditionTreeNode;
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326 | instr.iArg0 = doubleVariableNames[variableConditionTreeNode.VariableName];
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327 | } else if (instr.opCode == OpCodes.Call) {
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328 | necessaryArgStackSize += instr.nArguments + 1;
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329 | }
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330 | }
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331 | var state = new InterpreterState(code);
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332 |
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333 | Type[] methodArgs = { typeof(int), typeof(IList<double>[]) };
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334 | DynamicMethod testFun = new DynamicMethod("TestFun", typeof(double), methodArgs,
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335 | typeof(SymbolicDataAnalysisExpressionTreeILEmittingInterpreter).Module);
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336 |
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337 | ILGenerator il = testFun.GetILGenerator();
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338 | CompileInstructions(il, state, dataset);
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339 | il.Emit(System.Reflection.Emit.OpCodes.Conv_R8);
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340 | il.Emit(System.Reflection.Emit.OpCodes.Ret);
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341 | var function = (CompiledFunction)testFun.CreateDelegate(typeof(CompiledFunction));
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342 |
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343 | foreach (var row in rows) {
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344 | yield return function(row, columns);
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345 | }
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346 | }
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347 |
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348 | private void CompileInstructions(ILGenerator il, InterpreterState state, Dataset ds) {
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349 | Instruction currentInstr = state.NextInstruction();
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350 | int nArgs = currentInstr.nArguments;
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351 |
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352 | switch (currentInstr.opCode) {
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353 | case OpCodes.Add: {
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354 | if (nArgs > 0) {
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355 | CompileInstructions(il, state, ds);
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356 | }
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357 | for (int i = 1; i < nArgs; i++) {
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358 | CompileInstructions(il, state, ds);
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359 | il.Emit(System.Reflection.Emit.OpCodes.Add);
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360 | }
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361 | return;
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362 | }
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363 | case OpCodes.Sub: {
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364 | if (nArgs == 1) {
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365 | CompileInstructions(il, state, ds);
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366 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
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367 | return;
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368 | }
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369 | if (nArgs > 0) {
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370 | CompileInstructions(il, state, ds);
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371 | }
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372 | for (int i = 1; i < nArgs; i++) {
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373 | CompileInstructions(il, state, ds);
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374 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
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375 | }
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376 | return;
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377 | }
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378 | case OpCodes.Mul: {
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379 | if (nArgs > 0) {
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380 | CompileInstructions(il, state, ds);
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381 | }
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382 | for (int i = 1; i < nArgs; i++) {
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383 | CompileInstructions(il, state, ds);
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384 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
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385 | }
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386 | return;
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387 | }
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388 | case OpCodes.Div: {
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389 | if (nArgs == 1) {
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390 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0);
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391 | CompileInstructions(il, state, ds);
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392 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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393 | return;
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394 | }
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395 | if (nArgs > 0) {
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396 | CompileInstructions(il, state, ds);
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397 | }
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398 | for (int i = 1; i < nArgs; i++) {
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399 | CompileInstructions(il, state, ds);
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400 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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401 | }
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402 | return;
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403 | }
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404 | case OpCodes.Average: {
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405 | CompileInstructions(il, state, ds);
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406 | for (int i = 1; i < nArgs; i++) {
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407 | CompileInstructions(il, state, ds);
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408 | il.Emit(System.Reflection.Emit.OpCodes.Add);
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409 | }
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410 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, nArgs);
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411 | il.Emit(System.Reflection.Emit.OpCodes.Div);
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412 | return;
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413 | }
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414 | case OpCodes.Cos: {
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415 | CompileInstructions(il, state, ds);
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416 | il.Emit(System.Reflection.Emit.OpCodes.Call, cos);
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417 | return;
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418 | }
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419 | case OpCodes.Sin: {
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420 | CompileInstructions(il, state, ds);
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421 | il.Emit(System.Reflection.Emit.OpCodes.Call, sin);
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422 | return;
|
---|
423 | }
|
---|
424 | case OpCodes.Tan: {
|
---|
425 | CompileInstructions(il, state, ds);
|
---|
426 | il.Emit(System.Reflection.Emit.OpCodes.Call, tan);
|
---|
427 | return;
|
---|
428 | }
|
---|
429 | case OpCodes.Power: {
|
---|
430 | CompileInstructions(il, state, ds);
|
---|
431 | CompileInstructions(il, state, ds);
|
---|
432 | il.Emit(System.Reflection.Emit.OpCodes.Call, round);
|
---|
433 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
|
---|
434 | return;
|
---|
435 | }
|
---|
436 | case OpCodes.Root: {
|
---|
437 | CompileInstructions(il, state, ds);
|
---|
438 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1 / round(...)
|
---|
439 | CompileInstructions(il, state, ds);
|
---|
440 | il.Emit(System.Reflection.Emit.OpCodes.Call, round);
|
---|
441 | il.Emit(System.Reflection.Emit.OpCodes.Div);
|
---|
442 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
|
---|
443 | return;
|
---|
444 | }
|
---|
445 | case OpCodes.Exp: {
|
---|
446 | CompileInstructions(il, state, ds);
|
---|
447 | il.Emit(System.Reflection.Emit.OpCodes.Call, exp);
|
---|
448 | return;
|
---|
449 | }
|
---|
450 | case OpCodes.Log: {
|
---|
451 | CompileInstructions(il, state, ds);
|
---|
452 | il.Emit(System.Reflection.Emit.OpCodes.Call, log);
|
---|
453 | return;
|
---|
454 | }
|
---|
455 | case OpCodes.Square: {
|
---|
456 | CompileInstructions(il, state, ds);
|
---|
457 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0);
|
---|
458 | il.Emit(System.Reflection.Emit.OpCodes.Call, power);
|
---|
459 | return;
|
---|
460 | }
|
---|
461 | case OpCodes.SquareRoot: {
|
---|
462 | CompileInstructions(il, state, ds);
|
---|
463 | il.Emit(System.Reflection.Emit.OpCodes.Call, sqrt);
|
---|
464 | return;
|
---|
465 | }
|
---|
466 | case OpCodes.AiryA: {
|
---|
467 | CompileInstructions(il, state, ds);
|
---|
468 | il.Emit(System.Reflection.Emit.OpCodes.Call, airyA);
|
---|
469 | return;
|
---|
470 | }
|
---|
471 | case OpCodes.AiryB: {
|
---|
472 | CompileInstructions(il, state, ds);
|
---|
473 | il.Emit(System.Reflection.Emit.OpCodes.Call, airyB);
|
---|
474 | return;
|
---|
475 | }
|
---|
476 | case OpCodes.Bessel: {
|
---|
477 | CompileInstructions(il, state, ds);
|
---|
478 | il.Emit(System.Reflection.Emit.OpCodes.Call, bessel);
|
---|
479 | return;
|
---|
480 | }
|
---|
481 | case OpCodes.CosineIntegral: {
|
---|
482 | CompileInstructions(il, state, ds);
|
---|
483 | il.Emit(System.Reflection.Emit.OpCodes.Call, cosIntegral);
|
---|
484 | return;
|
---|
485 | }
|
---|
486 | case OpCodes.Dawson: {
|
---|
487 | CompileInstructions(il, state, ds);
|
---|
488 | il.Emit(System.Reflection.Emit.OpCodes.Call, dawson);
|
---|
489 | return;
|
---|
490 | }
|
---|
491 | case OpCodes.Erf: {
|
---|
492 | CompileInstructions(il, state, ds);
|
---|
493 | il.Emit(System.Reflection.Emit.OpCodes.Call, erf);
|
---|
494 | return;
|
---|
495 | }
|
---|
496 | case OpCodes.ExponentialIntegralEi: {
|
---|
497 | CompileInstructions(il, state, ds);
|
---|
498 | il.Emit(System.Reflection.Emit.OpCodes.Call, expIntegralEi);
|
---|
499 | return;
|
---|
500 | }
|
---|
501 | case OpCodes.FresnelCosineIntegral: {
|
---|
502 | CompileInstructions(il, state, ds);
|
---|
503 | il.Emit(System.Reflection.Emit.OpCodes.Call, fresnelCosIntegral);
|
---|
504 | return;
|
---|
505 | }
|
---|
506 | case OpCodes.FresnelSineIntegral: {
|
---|
507 | CompileInstructions(il, state, ds);
|
---|
508 | il.Emit(System.Reflection.Emit.OpCodes.Call, fresnelSinIntegral);
|
---|
509 | return;
|
---|
510 | }
|
---|
511 | case OpCodes.Gamma: {
|
---|
512 | CompileInstructions(il, state, ds);
|
---|
513 | il.Emit(System.Reflection.Emit.OpCodes.Call, gamma);
|
---|
514 | return;
|
---|
515 | }
|
---|
516 | case OpCodes.HyperbolicCosineIntegral: {
|
---|
517 | CompileInstructions(il, state, ds);
|
---|
518 | il.Emit(System.Reflection.Emit.OpCodes.Call, hypCosIntegral);
|
---|
519 | return;
|
---|
520 | }
|
---|
521 | case OpCodes.HyperbolicSineIntegral: {
|
---|
522 | CompileInstructions(il, state, ds);
|
---|
523 | il.Emit(System.Reflection.Emit.OpCodes.Call, hypSinIntegral);
|
---|
524 | return;
|
---|
525 | }
|
---|
526 | case OpCodes.Norm: {
|
---|
527 | CompileInstructions(il, state, ds);
|
---|
528 | il.Emit(System.Reflection.Emit.OpCodes.Call, norm);
|
---|
529 | return;
|
---|
530 | }
|
---|
531 | case OpCodes.Psi: {
|
---|
532 | CompileInstructions(il, state, ds);
|
---|
533 | il.Emit(System.Reflection.Emit.OpCodes.Call, psi);
|
---|
534 | return;
|
---|
535 | }
|
---|
536 | case OpCodes.SineIntegral: {
|
---|
537 | CompileInstructions(il, state, ds);
|
---|
538 | il.Emit(System.Reflection.Emit.OpCodes.Call, sinIntegral);
|
---|
539 | return;
|
---|
540 | }
|
---|
541 | case OpCodes.IfThenElse: {
|
---|
542 | Label end = il.DefineLabel();
|
---|
543 | Label c1 = il.DefineLabel();
|
---|
544 | CompileInstructions(il, state, ds);
|
---|
545 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // > 0
|
---|
546 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
547 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, c1);
|
---|
548 | CompileInstructions(il, state, ds);
|
---|
549 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
550 | il.MarkLabel(c1);
|
---|
551 | CompileInstructions(il, state, ds);
|
---|
552 | il.MarkLabel(end);
|
---|
553 | return;
|
---|
554 | }
|
---|
555 | case OpCodes.AND: {
|
---|
556 | Label falseBranch = il.DefineLabel();
|
---|
557 | Label end = il.DefineLabel();
|
---|
558 | CompileInstructions(il, state, ds);
|
---|
559 | for (int i = 1; i < nArgs; i++) {
|
---|
560 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // > 0
|
---|
561 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
562 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, falseBranch);
|
---|
563 | CompileInstructions(il, state, ds);
|
---|
564 | }
|
---|
565 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // > 0
|
---|
566 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
567 | il.Emit(System.Reflection.Emit.OpCodes.Brfalse, falseBranch);
|
---|
568 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1
|
---|
569 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
570 | il.MarkLabel(falseBranch);
|
---|
571 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // -1
|
---|
572 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
|
---|
573 | il.MarkLabel(end);
|
---|
574 | return;
|
---|
575 | }
|
---|
576 | case OpCodes.OR: {
|
---|
577 | Label trueBranch = il.DefineLabel();
|
---|
578 | Label end = il.DefineLabel();
|
---|
579 | Label resultBranch = il.DefineLabel();
|
---|
580 | CompileInstructions(il, state, ds);
|
---|
581 | for (int i = 1; i < nArgs; i++) {
|
---|
582 | Label nextArgBranch = il.DefineLabel();
|
---|
583 | // complex definition because of special properties of NaN
|
---|
584 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
585 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // <= 0
|
---|
586 | il.Emit(System.Reflection.Emit.OpCodes.Ble, nextArgBranch);
|
---|
587 | il.Emit(System.Reflection.Emit.OpCodes.Br, resultBranch);
|
---|
588 | il.MarkLabel(nextArgBranch);
|
---|
589 | il.Emit(System.Reflection.Emit.OpCodes.Pop);
|
---|
590 | CompileInstructions(il, state, ds);
|
---|
591 | }
|
---|
592 | il.MarkLabel(resultBranch);
|
---|
593 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // > 0
|
---|
594 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
595 | il.Emit(System.Reflection.Emit.OpCodes.Brtrue, trueBranch);
|
---|
596 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // -1
|
---|
597 | il.Emit(System.Reflection.Emit.OpCodes.Neg);
|
---|
598 | il.Emit(System.Reflection.Emit.OpCodes.Br, end);
|
---|
599 | il.MarkLabel(trueBranch);
|
---|
600 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // 1
|
---|
601 | il.MarkLabel(end);
|
---|
602 | return;
|
---|
603 | }
|
---|
604 | case OpCodes.NOT: {
|
---|
605 | CompileInstructions(il, state, ds);
|
---|
606 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0); // > 0
|
---|
607 | il.Emit(System.Reflection.Emit.OpCodes.Cgt);
|
---|
608 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
609 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
610 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
611 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
612 | il.Emit(System.Reflection.Emit.OpCodes.Neg); // * -1
|
---|
613 | return;
|
---|
614 | }
|
---|
615 | case OpCodes.GT: {
|
---|
616 | CompileInstructions(il, state, ds);
|
---|
617 | CompileInstructions(il, state, ds);
|
---|
618 |
|
---|
619 | il.Emit(System.Reflection.Emit.OpCodes.Cgt); // 1 (>) / 0 (otherwise)
|
---|
620 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
621 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
622 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
623 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
624 | return;
|
---|
625 | }
|
---|
626 | case OpCodes.LT: {
|
---|
627 | CompileInstructions(il, state, ds);
|
---|
628 | CompileInstructions(il, state, ds);
|
---|
629 | il.Emit(System.Reflection.Emit.OpCodes.Clt);
|
---|
630 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // * 2
|
---|
631 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
632 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 1.0); // - 1
|
---|
633 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
634 | return;
|
---|
635 | }
|
---|
636 | case OpCodes.TimeLag: {
|
---|
637 | LaggedTreeNode laggedTreeNode = (LaggedTreeNode)currentInstr.dynamicNode;
|
---|
638 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -= lag
|
---|
639 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
640 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
641 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
642 | var prevLaggedContext = state.InLaggedContext;
|
---|
643 | state.InLaggedContext = true;
|
---|
644 | CompileInstructions(il, state, ds);
|
---|
645 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row += lag
|
---|
646 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
647 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
648 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
649 | state.InLaggedContext = prevLaggedContext;
|
---|
650 | return;
|
---|
651 | }
|
---|
652 | case OpCodes.Integral: {
|
---|
653 | int savedPc = state.ProgramCounter;
|
---|
654 | LaggedTreeNode laggedTreeNode = (LaggedTreeNode)currentInstr.dynamicNode;
|
---|
655 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -= lag
|
---|
656 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, laggedTreeNode.Lag);
|
---|
657 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
658 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
659 | var prevLaggedContext = state.InLaggedContext;
|
---|
660 | state.InLaggedContext = true;
|
---|
661 | CompileInstructions(il, state, ds);
|
---|
662 | for (int l = laggedTreeNode.Lag; l < 0; l++) {
|
---|
663 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row += lag
|
---|
664 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_1);
|
---|
665 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
666 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
667 | state.ProgramCounter = savedPc;
|
---|
668 | CompileInstructions(il, state, ds);
|
---|
669 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
670 | }
|
---|
671 | state.InLaggedContext = prevLaggedContext;
|
---|
672 | return;
|
---|
673 | }
|
---|
674 |
|
---|
675 | //mkommend: derivate calculation taken from:
|
---|
676 | //http://www.holoborodko.com/pavel/numerical-methods/numerical-derivative/smooth-low-noise-differentiators/
|
---|
677 | //one sided smooth differentiatior, N = 4
|
---|
678 | // y' = 1/8h (f_i + 2f_i-1, -2 f_i-3 - f_i-4)
|
---|
679 | case OpCodes.Derivative: {
|
---|
680 | int savedPc = state.ProgramCounter;
|
---|
681 | CompileInstructions(il, state, ds);
|
---|
682 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row --
|
---|
683 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_M1);
|
---|
684 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
685 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
686 | state.ProgramCounter = savedPc;
|
---|
687 | var prevLaggedContext = state.InLaggedContext;
|
---|
688 | state.InLaggedContext = true;
|
---|
689 | CompileInstructions(il, state, ds);
|
---|
690 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // f_0 + 2 * f_1
|
---|
691 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
692 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
693 |
|
---|
694 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row -=2
|
---|
695 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_2);
|
---|
696 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
697 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
698 | state.ProgramCounter = savedPc;
|
---|
699 | CompileInstructions(il, state, ds);
|
---|
700 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 2.0); // f_0 + 2 * f_1 - 2 * f_3
|
---|
701 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
702 | il.Emit(System.Reflection.Emit.OpCodes.Sub);
|
---|
703 |
|
---|
704 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row --
|
---|
705 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_M1);
|
---|
706 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
707 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
708 | state.ProgramCounter = savedPc;
|
---|
709 | CompileInstructions(il, state, ds);
|
---|
710 | il.Emit(System.Reflection.Emit.OpCodes.Sub); // f_0 + 2 * f_1 - 2 * f_3 - f_4
|
---|
711 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, 8.0); // / 8
|
---|
712 | il.Emit(System.Reflection.Emit.OpCodes.Div);
|
---|
713 |
|
---|
714 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // row +=4
|
---|
715 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_4);
|
---|
716 | il.Emit(System.Reflection.Emit.OpCodes.Add);
|
---|
717 | il.Emit(System.Reflection.Emit.OpCodes.Starg, 0);
|
---|
718 | state.InLaggedContext = prevLaggedContext;
|
---|
719 | return;
|
---|
720 | }
|
---|
721 | case OpCodes.Call: {
|
---|
722 | throw new NotSupportedException(
|
---|
723 | "Automatically defined functions are not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter. Either turn of ADFs or change the interpeter.");
|
---|
724 | }
|
---|
725 | case OpCodes.Arg: {
|
---|
726 | throw new NotSupportedException(
|
---|
727 | "Automatically defined functions are not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter. Either turn of ADFs or change the interpeter.");
|
---|
728 | }
|
---|
729 | case OpCodes.Variable: {
|
---|
730 | VariableTreeNode varNode = (VariableTreeNode)currentInstr.dynamicNode;
|
---|
731 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_1); // load columns array
|
---|
732 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, (int)currentInstr.iArg0);
|
---|
733 | // load correct column of the current variable
|
---|
734 | il.Emit(System.Reflection.Emit.OpCodes.Ldelem_Ref);
|
---|
735 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // rowIndex
|
---|
736 | if (!state.InLaggedContext) {
|
---|
737 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
738 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
739 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
740 | } else {
|
---|
741 | var nanResult = il.DefineLabel();
|
---|
742 | var normalResult = il.DefineLabel();
|
---|
743 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
744 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0);
|
---|
745 | il.Emit(System.Reflection.Emit.OpCodes.Blt, nanResult);
|
---|
746 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
747 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, ds.Rows);
|
---|
748 | il.Emit(System.Reflection.Emit.OpCodes.Bge, nanResult);
|
---|
749 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
750 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
751 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
752 | il.Emit(System.Reflection.Emit.OpCodes.Br, normalResult);
|
---|
753 | il.MarkLabel(nanResult);
|
---|
754 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // rowIndex
|
---|
755 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // column reference
|
---|
756 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, double.NaN);
|
---|
757 | il.MarkLabel(normalResult);
|
---|
758 | }
|
---|
759 | return;
|
---|
760 | }
|
---|
761 | case OpCodes.LagVariable: {
|
---|
762 | var nanResult = il.DefineLabel();
|
---|
763 | var normalResult = il.DefineLabel();
|
---|
764 | LaggedVariableTreeNode varNode = (LaggedVariableTreeNode)currentInstr.dynamicNode;
|
---|
765 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_1); // load columns array
|
---|
766 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, (int)currentInstr.iArg0);
|
---|
767 | // load correct column of the current variable
|
---|
768 | il.Emit(System.Reflection.Emit.OpCodes.Ldelem_Ref);
|
---|
769 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, varNode.Lag); // lag
|
---|
770 | il.Emit(System.Reflection.Emit.OpCodes.Ldarg_0); // rowIndex
|
---|
771 | il.Emit(System.Reflection.Emit.OpCodes.Add); // actualRowIndex = rowIndex + sampleOffset
|
---|
772 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
773 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4_0);
|
---|
774 | il.Emit(System.Reflection.Emit.OpCodes.Blt, nanResult);
|
---|
775 | il.Emit(System.Reflection.Emit.OpCodes.Dup);
|
---|
776 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_I4, ds.Rows);
|
---|
777 | il.Emit(System.Reflection.Emit.OpCodes.Bge, nanResult);
|
---|
778 | il.Emit(System.Reflection.Emit.OpCodes.Call, listGetValue);
|
---|
779 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, varNode.Weight); // load weight
|
---|
780 | il.Emit(System.Reflection.Emit.OpCodes.Mul);
|
---|
781 | il.Emit(System.Reflection.Emit.OpCodes.Br, normalResult);
|
---|
782 | il.MarkLabel(nanResult);
|
---|
783 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // sample index
|
---|
784 | il.Emit(System.Reflection.Emit.OpCodes.Pop); // column reference
|
---|
785 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, double.NaN);
|
---|
786 | il.MarkLabel(normalResult);
|
---|
787 | return;
|
---|
788 | }
|
---|
789 | case OpCodes.Constant: {
|
---|
790 | ConstantTreeNode constNode = (ConstantTreeNode)currentInstr.dynamicNode;
|
---|
791 | il.Emit(System.Reflection.Emit.OpCodes.Ldc_R8, constNode.Value);
|
---|
792 | return;
|
---|
793 | }
|
---|
794 |
|
---|
795 | //mkommend: this symbol uses the logistic function f(x) = 1 / (1 + e^(-alpha * x) )
|
---|
796 | //to determine the relative amounts of the true and false branch see http://en.wikipedia.org/wiki/Logistic_function
|
---|
797 | case OpCodes.VariableCondition: {
|
---|
798 | throw new NotSupportedException("Interpretation of symbol " + currentInstr.dynamicNode.Symbol.Name +
|
---|
799 | " is not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter");
|
---|
800 | }
|
---|
801 | default:
|
---|
802 | throw new NotSupportedException("Interpretation of symbol " + currentInstr.dynamicNode.Symbol.Name +
|
---|
803 | " is not supported by the SymbolicDataAnalysisTreeILEmittingInterpreter");
|
---|
804 | }
|
---|
805 | }
|
---|
806 |
|
---|
807 | private byte MapSymbolToOpCode(ISymbolicExpressionTreeNode treeNode) {
|
---|
808 | byte opCode;
|
---|
809 | if (!symbolToOpcode.TryGetValue(treeNode.Symbol.GetType(), out opCode))
|
---|
810 | throw new NotSupportedException("Symbol: " + treeNode.Symbol);
|
---|
811 | return opCode;
|
---|
812 | }
|
---|
813 |
|
---|
814 |
|
---|
815 | public static double AiryA(double x) {
|
---|
816 | if (double.IsNaN(x)) return double.NaN;
|
---|
817 | double ai, aip, bi, bip;
|
---|
818 | alglib.airy(x, out ai, out aip, out bi, out bip);
|
---|
819 | return ai;
|
---|
820 | }
|
---|
821 |
|
---|
822 | public static double AiryB(double x) {
|
---|
823 | if (double.IsNaN(x)) return double.NaN;
|
---|
824 | double ai, aip, bi, bip;
|
---|
825 | alglib.airy(x, out ai, out aip, out bi, out bip);
|
---|
826 | return bi;
|
---|
827 | }
|
---|
828 | public static double Dawson(double x) {
|
---|
829 | if (double.IsNaN(x)) return double.NaN;
|
---|
830 | return alglib.dawsonintegral(x);
|
---|
831 | }
|
---|
832 |
|
---|
833 | public static double Gamma(double x) {
|
---|
834 | if (double.IsNaN(x)) return double.NaN;
|
---|
835 | return alglib.gammafunction(x);
|
---|
836 | }
|
---|
837 |
|
---|
838 | public static double Psi(double x) {
|
---|
839 | if (double.IsNaN(x)) return double.NaN;
|
---|
840 | else if (x <= 0 && (Math.Floor(x) - x).IsAlmost(0)) return double.NaN;
|
---|
841 | return alglib.psi(x);
|
---|
842 | }
|
---|
843 |
|
---|
844 | public static double ExpIntegralEi(double x) {
|
---|
845 | if (double.IsNaN(x)) return double.NaN;
|
---|
846 | return alglib.exponentialintegralei(x);
|
---|
847 | }
|
---|
848 |
|
---|
849 | public static double SinIntegral(double x) {
|
---|
850 | if (double.IsNaN(x)) return double.NaN;
|
---|
851 | double si, ci;
|
---|
852 | alglib.sinecosineintegrals(x, out si, out ci);
|
---|
853 | return si;
|
---|
854 | }
|
---|
855 |
|
---|
856 | public static double CosIntegral(double x) {
|
---|
857 | if (double.IsNaN(x)) return double.NaN;
|
---|
858 | double si, ci;
|
---|
859 | alglib.sinecosineintegrals(x, out si, out ci);
|
---|
860 | return ci;
|
---|
861 | }
|
---|
862 |
|
---|
863 | public static double HypSinIntegral(double x) {
|
---|
864 | if (double.IsNaN(x)) return double.NaN;
|
---|
865 | double shi, chi;
|
---|
866 | alglib.hyperbolicsinecosineintegrals(x, out shi, out chi);
|
---|
867 | return shi;
|
---|
868 | }
|
---|
869 |
|
---|
870 | public static double HypCosIntegral(double x) {
|
---|
871 | if (double.IsNaN(x)) return double.NaN;
|
---|
872 | double shi, chi;
|
---|
873 | alglib.hyperbolicsinecosineintegrals(x, out shi, out chi);
|
---|
874 | return chi;
|
---|
875 | }
|
---|
876 |
|
---|
877 | public static double FresnelCosIntegral(double x) {
|
---|
878 | if (double.IsNaN(x)) return double.NaN;
|
---|
879 | double c = 0, s = 0;
|
---|
880 | alglib.fresnelintegral(x, ref c, ref s);
|
---|
881 | return c;
|
---|
882 | }
|
---|
883 |
|
---|
884 | public static double FresnelSinIntegral(double x) {
|
---|
885 | if (double.IsNaN(x)) return double.NaN;
|
---|
886 | double c = 0, s = 0;
|
---|
887 | alglib.fresnelintegral(x, ref c, ref s);
|
---|
888 | return s;
|
---|
889 | }
|
---|
890 |
|
---|
891 | public static double Norm(double x) {
|
---|
892 | if (double.IsNaN(x)) return double.NaN;
|
---|
893 | return alglib.normaldistribution(x);
|
---|
894 | }
|
---|
895 |
|
---|
896 | public static double Erf(double x) {
|
---|
897 | if (double.IsNaN(x)) return double.NaN;
|
---|
898 | return alglib.errorfunction(x);
|
---|
899 | }
|
---|
900 |
|
---|
901 | public static double Bessel(double x) {
|
---|
902 | if (double.IsNaN(x)) return double.NaN;
|
---|
903 | return alglib.besseli0(x);
|
---|
904 | }
|
---|
905 |
|
---|
906 | }
|
---|
907 | }
|
---|