1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2013 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.Text;
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26 | using HeuristicLab.Common;
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27 | using HeuristicLab.Core;
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28 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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29 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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30 |
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31 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
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32 | [Item("LaTeX String Formatter", "Formatter for symbolic expression trees for import into LaTeX documents.")]
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33 | [StorableClass]
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34 | public sealed class SymbolicDataAnalysisExpressionLatexFormatter : NamedItem, ISymbolicExpressionTreeStringFormatter {
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35 | private readonly List<double> constants;
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36 | private int targetCount;
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37 | private int currentLag;
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38 |
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39 | [StorableConstructor]
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40 | private SymbolicDataAnalysisExpressionLatexFormatter(bool deserializing) : base(deserializing) { }
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41 | private SymbolicDataAnalysisExpressionLatexFormatter(SymbolicDataAnalysisExpressionLatexFormatter original, Cloner cloner)
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42 | : base(original, cloner) {
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43 | constants = new List<double>(original.constants);
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44 | }
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45 | public SymbolicDataAnalysisExpressionLatexFormatter()
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46 | : base() {
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47 | Name = ItemName;
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48 | Description = ItemDescription;
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49 | constants = new List<double>();
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50 | }
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51 |
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52 | public override IDeepCloneable Clone(Cloner cloner) {
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53 | return new SymbolicDataAnalysisExpressionLatexFormatter(this, cloner);
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54 | }
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55 |
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56 | public string Format(ISymbolicExpressionTree symbolicExpressionTree) {
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57 | try {
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58 | StringBuilder strBuilder = new StringBuilder();
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59 | constants.Clear();
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60 | strBuilder.AppendLine(FormatRecursively(symbolicExpressionTree.Root));
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61 | return strBuilder.ToString();
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62 | }
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63 | catch (NotImplementedException ex) {
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64 | return ex.Message + Environment.NewLine + ex.StackTrace;
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65 | }
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66 | }
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67 |
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68 | private string FormatRecursively(ISymbolicExpressionTreeNode node) {
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69 | StringBuilder strBuilder = new StringBuilder();
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70 | currentLag = 0;
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71 | FormatBegin(node, strBuilder);
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72 |
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73 | if (node.SubtreeCount > 0) {
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74 | strBuilder.Append(FormatRecursively(node.GetSubtree(0)));
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75 | }
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76 | int i = 1;
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77 | foreach (SymbolicExpressionTreeNode subTree in node.Subtrees.Skip(1)) {
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78 | FormatSep(node, strBuilder, i);
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79 | // format the whole subtree
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80 | strBuilder.Append(FormatRecursively(subTree));
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81 | i++;
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82 | }
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83 |
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84 | FormatEnd(node, strBuilder);
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85 |
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86 | return strBuilder.ToString();
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87 | }
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88 |
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89 | private void FormatBegin(ISymbolicExpressionTreeNode node, StringBuilder strBuilder) {
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90 | if (node.Symbol is Addition) {
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91 | strBuilder.Append(@" \left( ");
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92 | } else if (node.Symbol is Subtraction) {
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93 | if (node.SubtreeCount == 1) {
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94 | strBuilder.Append(@"- \left( ");
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95 | } else {
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96 | strBuilder.Append(@" \left( ");
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97 | }
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98 | } else if (node.Symbol is Multiplication) {
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99 | } else if (node.Symbol is Division) {
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100 | if (node.SubtreeCount == 1) {
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101 | strBuilder.Append(@" \cfrac{1");
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102 | } else {
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103 | strBuilder.Append(@" \cfrac{ ");
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104 | }
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105 | } else if (node.Symbol is Average) {
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106 | // skip output of (1/1) if only one subtree
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107 | if (node.SubtreeCount > 1) {
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108 | strBuilder.Append(@" \cfrac{1}{" + node.SubtreeCount + @"}");
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109 | }
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110 | strBuilder.Append(@" \left( ");
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111 | } else if (node.Symbol is Logarithm) {
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112 | strBuilder.Append(@"\log \left( ");
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113 | } else if (node.Symbol is Exponential) {
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114 | strBuilder.Append(@"\exp \left( ");
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115 | } else if (node.Symbol is Square) {
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116 | strBuilder.Append(@"\left(");
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117 | } else if (node.Symbol is SquareRoot) {
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118 | strBuilder.Append(@"\sqrt{");
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119 | } else if (node.Symbol is Sine) {
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120 | strBuilder.Append(@"\sin \left( ");
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121 | } else if (node.Symbol is Cosine) {
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122 | strBuilder.Append(@"\cos \left( ");
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123 | } else if (node.Symbol is Tangent) {
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124 | strBuilder.Append(@"\tan \left( ");
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125 | } else if (node.Symbol is AiryA) {
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126 | strBuilder.Append(@"\operatorname{airy}_a \left( ");
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127 | } else if (node.Symbol is AiryB) {
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128 | strBuilder.Append(@"\operatorname{airy}_b \left( ");
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129 | } else if (node.Symbol is Bessel) {
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130 | strBuilder.Append(@"\operatorname{bessel}_1 \left( ");
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131 | } else if (node.Symbol is CosineIntegral) {
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132 | strBuilder.Append(@"\operatorname{cosInt} \left( ");
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133 | } else if (node.Symbol is Dawson) {
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134 | strBuilder.Append(@"\operatorname{dawson} \left( ");
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135 | } else if (node.Symbol is Erf) {
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136 | strBuilder.Append(@"\operatorname{erf} \left( ");
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137 | } else if (node.Symbol is ExponentialIntegralEi) {
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138 | strBuilder.Append(@"\operatorname{expInt}_i \left( ");
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139 | } else if (node.Symbol is FresnelCosineIntegral) {
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140 | strBuilder.Append(@"\operatorname{fresnel}_\operatorname{cosInt} \left( ");
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141 | } else if (node.Symbol is FresnelSineIntegral) {
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142 | strBuilder.Append(@"\operatorname{fresnel}_\operatorname{sinInt} \left( ");
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143 | } else if (node.Symbol is Gamma) {
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144 | strBuilder.Append(@"\Gamma \left( ");
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145 | } else if (node.Symbol is HyperbolicCosineIntegral) {
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146 | strBuilder.Append(@"\operatorname{hypCosInt} \left( ");
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147 | } else if (node.Symbol is HyperbolicSineIntegral) {
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148 | strBuilder.Append(@"\operatorname{hypSinInt} \left( ");
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149 | } else if (node.Symbol is Norm) {
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150 | strBuilder.Append(@"\operatorname{norm} \left( ");
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151 | } else if (node.Symbol is Psi) {
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152 | strBuilder.Append(@"\operatorname{digamma} \left( ");
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153 | } else if (node.Symbol is SineIntegral) {
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154 | strBuilder.Append(@"\operatorname{sinInt} \left( ");
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155 | } else if (node.Symbol is GreaterThan) {
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156 | strBuilder.Append(@" \left( ");
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157 | } else if (node.Symbol is LessThan) {
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158 | strBuilder.Append(@" \left( ");
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159 | } else if (node.Symbol is And) {
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160 | strBuilder.Append(@" \left( \left( ");
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161 | } else if (node.Symbol is Or) {
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162 | strBuilder.Append(@" \left( \left( ");
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163 | } else if (node.Symbol is Not) {
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164 | strBuilder.Append(@" \neg \left( ");
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165 | } else if (node.Symbol is IfThenElse) {
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166 | strBuilder.Append(@" \operatorname{if} \left( ");
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167 | } else if (node.Symbol is Constant) {
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168 | strBuilder.Append("c_{" + constants.Count + "} ");
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169 | var constNode = node as ConstantTreeNode;
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170 | constants.Add(constNode.Value);
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171 | } else if (node.Symbol is LaggedVariable) {
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172 | var laggedVarNode = node as LaggedVariableTreeNode;
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173 | if (!laggedVarNode.Weight.IsAlmost(1.0)) {
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174 | strBuilder.Append("c_{" + constants.Count + "} \\cdot ");
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175 | constants.Add(laggedVarNode.Weight);
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176 | }
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177 | strBuilder.Append(EscapeLatexString(laggedVarNode.VariableName));
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178 | strBuilder.Append(LagToString(currentLag + laggedVarNode.Lag));
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179 |
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180 | } else if (node.Symbol is Variable) {
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181 | var varNode = node as VariableTreeNode;
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182 | if (!varNode.Weight.IsAlmost((1.0))) {
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183 | strBuilder.Append("c_{" + constants.Count + "} \\cdot ");
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184 | constants.Add(varNode.Weight);
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185 | }
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186 | strBuilder.Append(EscapeLatexString(varNode.VariableName));
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187 | strBuilder.Append(LagToString(currentLag));
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188 | } else if (node.Symbol is ProgramRootSymbol) {
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189 | strBuilder
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190 | .AppendLine("\\begin{align*}")
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191 | .AppendLine("\\nonumber");
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192 | } else if (node.Symbol is Defun) {
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193 | var defunNode = node as DefunTreeNode;
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194 | strBuilder.Append(defunNode.FunctionName + " & = ");
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195 | } else if (node.Symbol is InvokeFunction) {
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196 | var invokeNode = node as InvokeFunctionTreeNode;
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197 | strBuilder.Append(invokeNode.Symbol.FunctionName + @" \left( ");
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198 | } else if (node.Symbol is StartSymbol) {
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199 | strBuilder.Append("target_" + (targetCount++) + "(t) & = ");
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200 | } else if (node.Symbol is Argument) {
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201 | var argSym = node.Symbol as Argument;
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202 | strBuilder.Append(" ARG+" + argSym.ArgumentIndex + " ");
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203 | } else if (node.Symbol is Derivative) {
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204 | strBuilder.Append(@" \cfrac{d \left( ");
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205 | } else if (node.Symbol is TimeLag) {
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206 | var laggedNode = node as ILaggedTreeNode;
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207 | currentLag += laggedNode.Lag;
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208 | } else if (node.Symbol is Power) {
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209 | strBuilder.Append(@" \left( ");
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210 | } else if (node.Symbol is Root) {
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211 | strBuilder.Append(@" \left( ");
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212 | } else if (node.Symbol is Integral) {
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213 | // actually a new variable for t is needed in all subtrees (TODO)
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214 | var laggedTreeNode = node as ILaggedTreeNode;
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215 | strBuilder.Append(@"\sum_{t=" + (laggedTreeNode.Lag + currentLag) + @"}^0 \left( ");
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216 | } else if (node.Symbol is VariableCondition) {
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217 | var conditionTreeNode = node as VariableConditionTreeNode;
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218 | string p = @"1 / 1 + \exp - c_{" + constants.Count + "} ";
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219 | constants.Add(conditionTreeNode.Slope);
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220 | p += @" \cdot " + EscapeLatexString(conditionTreeNode.VariableName) + LagToString(currentLag) + " - c_{" + constants.Count + @"} ";
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221 | constants.Add(conditionTreeNode.Threshold);
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222 | strBuilder.Append(@" \left( " + p + @"\cdot ");
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223 | } else {
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224 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
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225 | }
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226 | }
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227 |
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228 | private void FormatSep(ISymbolicExpressionTreeNode node, StringBuilder strBuilder, int step) {
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229 | if (node.Symbol is Addition) {
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230 | strBuilder.Append(" + ");
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231 | } else if (node.Symbol is Subtraction) {
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232 | strBuilder.Append(" - ");
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233 | } else if (node.Symbol is Multiplication) {
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234 | strBuilder.Append(@" \cdot ");
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235 | } else if (node.Symbol is Division) {
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236 | if (step + 1 == node.SubtreeCount)
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237 | strBuilder.Append(@"}{");
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238 | else
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239 | strBuilder.Append(@" }{ \cfrac{ ");
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240 | } else if (node.Symbol is Average) {
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241 | strBuilder.Append(@" + ");
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242 | } else if (node.Symbol is Logarithm) {
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243 | throw new InvalidOperationException();
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244 | } else if (node.Symbol is Exponential) {
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245 | throw new InvalidOperationException();
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246 | } else if (node.Symbol is Square) {
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247 | throw new InvalidOperationException();
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248 | } else if (node.Symbol is SquareRoot) {
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249 | throw new InvalidOperationException();
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250 | } else if (node.Symbol is Sine) {
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251 | throw new InvalidOperationException();
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252 | } else if (node.Symbol is Cosine) {
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253 | throw new InvalidOperationException();
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254 | } else if (node.Symbol is Tangent) {
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255 | throw new InvalidOperationException();
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256 | } else if (node.Symbol is AiryA) {
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257 | throw new InvalidOperationException();
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258 | } else if (node.Symbol is AiryB) {
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259 | throw new InvalidOperationException();
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260 | } else if (node.Symbol is Bessel) {
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261 | throw new InvalidOperationException();
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262 | } else if (node.Symbol is CosineIntegral) {
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263 | throw new InvalidOperationException();
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264 | } else if (node.Symbol is Dawson) {
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265 | throw new InvalidOperationException();
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266 | } else if (node.Symbol is Erf) {
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267 | throw new InvalidOperationException();
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268 | } else if (node.Symbol is ExponentialIntegralEi) {
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269 | throw new InvalidOperationException();
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270 | } else if (node.Symbol is FresnelCosineIntegral) {
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271 | throw new InvalidOperationException();
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272 | } else if (node.Symbol is FresnelSineIntegral) {
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273 | throw new InvalidOperationException();
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274 | } else if (node.Symbol is Gamma) {
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275 | throw new InvalidOperationException();
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276 | } else if (node.Symbol is HyperbolicCosineIntegral) {
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277 | throw new InvalidOperationException();
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278 | } else if (node.Symbol is HyperbolicSineIntegral) {
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279 | throw new InvalidOperationException();
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280 | } else if (node.Symbol is Norm) {
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281 | throw new InvalidOperationException();
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282 | } else if (node.Symbol is Psi) {
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283 | throw new InvalidOperationException();
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284 | } else if (node.Symbol is SineIntegral) {
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285 | throw new InvalidOperationException();
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286 | } else if (node.Symbol is GreaterThan) {
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287 | strBuilder.Append(@" > ");
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288 | } else if (node.Symbol is LessThan) {
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289 | strBuilder.Append(@" < ");
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290 | } else if (node.Symbol is And) {
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291 | strBuilder.Append(@" > 0 \right) \land \left(");
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292 | } else if (node.Symbol is Or) {
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293 | strBuilder.Append(@" > 0 \right) \lor \left(");
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294 | } else if (node.Symbol is Not) {
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295 | throw new InvalidOperationException();
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296 | } else if (node.Symbol is IfThenElse) {
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297 | strBuilder.Append(@" , ");
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298 | } else if (node.Symbol is ProgramRootSymbol) {
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299 | strBuilder.Append(@"\\" + Environment.NewLine);
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300 | } else if (node.Symbol is Defun) {
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301 | } else if (node.Symbol is InvokeFunction) {
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302 | strBuilder.Append(" , ");
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303 | } else if (node.Symbol is StartSymbol) {
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304 | strBuilder.Append(@"\\" + Environment.NewLine);
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305 | strBuilder.Append("target_" + (targetCount++) + "(t) & = ");
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306 | } else if (node.Symbol is Power) {
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307 | strBuilder.Append(@"\right) ^ { \operatorname{round} \left(");
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308 | } else if (node.Symbol is Root) {
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309 | strBuilder.Append(@"\right) ^ { \cfrac{1}{ \operatorname{round} \left(");
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310 | } else if (node.Symbol is VariableCondition) {
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311 | var conditionTreeNode = node as VariableConditionTreeNode;
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312 | string p = @"1 / \left( 1 + \exp \left( - c_{" + constants.Count + "} ";
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313 | constants.Add(conditionTreeNode.Slope);
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314 | p += @" \cdot " + EscapeLatexString(conditionTreeNode.VariableName) + LagToString(currentLag) + " - c_{" + constants.Count + @"} \right) \right) \right) ";
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315 | constants.Add(conditionTreeNode.Threshold);
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316 | strBuilder.Append(@" + \left( 1 - " + p + @" \right) \cdot ");
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317 | } else {
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318 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
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319 | }
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320 | }
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321 |
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322 | private void FormatEnd(ISymbolicExpressionTreeNode node, StringBuilder strBuilder) {
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323 | if (node.Symbol is Addition) {
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324 | strBuilder.Append(@" \right) ");
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325 | } else if (node.Symbol is Subtraction) {
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326 | strBuilder.Append(@" \right) ");
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327 | } else if (node.Symbol is Multiplication) {
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328 | } else if (node.Symbol is Division) {
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329 | strBuilder.Append(" } ");
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330 | for (int i = 2; i < node.SubtreeCount; i++)
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331 | strBuilder.Append(" } ");
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332 | } else if (node.Symbol is Average) {
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333 | strBuilder.Append(@" \right) ");
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334 | } else if (node.Symbol is Logarithm) {
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335 | strBuilder.Append(@" \right) ");
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336 | } else if (node.Symbol is Exponential) {
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337 | strBuilder.Append(@" \right) ");
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338 | } else if (node.Symbol is Square) {
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339 | strBuilder.Append(@"\right)^2");
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340 | } else if (node.Symbol is SquareRoot) {
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341 | strBuilder.Append(@"}");
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342 | } else if (node.Symbol is Sine) {
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343 | strBuilder.Append(@" \right) ");
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344 | } else if (node.Symbol is Cosine) {
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345 | strBuilder.Append(@" \right) ");
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346 | } else if (node.Symbol is Tangent) {
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347 | strBuilder.Append(@" \right) ");
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348 | } else if (node.Symbol is AiryA) {
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349 | strBuilder.Append(@" \right) ");
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350 | } else if (node.Symbol is AiryB) {
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351 | strBuilder.Append(@" \right) ");
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352 | } else if (node.Symbol is Bessel) {
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353 | strBuilder.Append(@" \right) ");
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354 | } else if (node.Symbol is CosineIntegral) {
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355 | strBuilder.Append(@" \right) ");
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356 | } else if (node.Symbol is Dawson) {
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357 | strBuilder.Append(@" \right) ");
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358 | } else if (node.Symbol is Erf) {
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359 | strBuilder.Append(@" \right) ");
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360 | } else if (node.Symbol is ExponentialIntegralEi) {
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361 | strBuilder.Append(@" \right) ");
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362 | } else if (node.Symbol is FresnelCosineIntegral) {
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363 | strBuilder.Append(@" \right) ");
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364 | } else if (node.Symbol is FresnelSineIntegral) {
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365 | strBuilder.Append(@" \right) ");
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366 | } else if (node.Symbol is Gamma) {
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367 | strBuilder.Append(@" \right) ");
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368 | } else if (node.Symbol is HyperbolicCosineIntegral) {
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369 | strBuilder.Append(@" \right) ");
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370 | } else if (node.Symbol is HyperbolicSineIntegral) {
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371 | strBuilder.Append(@" \right) ");
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372 | } else if (node.Symbol is Norm) {
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373 | strBuilder.Append(@" \right) ");
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374 | } else if (node.Symbol is Psi) {
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375 | strBuilder.Append(@" \right) ");
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376 | } else if (node.Symbol is SineIntegral) {
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377 | strBuilder.Append(@" \right) ");
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378 | } else if (node.Symbol is GreaterThan) {
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379 | strBuilder.Append(@" \right) ");
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380 | } else if (node.Symbol is LessThan) {
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381 | strBuilder.Append(@" \right) ");
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382 | } else if (node.Symbol is And) {
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383 | strBuilder.Append(@" > 0 \right) \right) ");
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384 | } else if (node.Symbol is Or) {
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385 | strBuilder.Append(@" > 0 \right) \right) ");
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386 | } else if (node.Symbol is Not) {
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387 | strBuilder.Append(@" \right) ");
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388 | } else if (node.Symbol is IfThenElse) {
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389 | strBuilder.Append(@" \right) ");
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390 | } else if (node.Symbol is Constant) {
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391 | } else if (node.Symbol is LaggedVariable) {
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392 | } else if (node.Symbol is Variable) {
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393 | } else if (node.Symbol is ProgramRootSymbol) {
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394 | strBuilder
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395 | .AppendLine("\\end{align*}")
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396 | .AppendLine("\\begin{align*}")
|
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397 | .AppendLine("\\nonumber");
|
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398 | // output all constant values
|
---|
399 | if (constants.Count > 0) {
|
---|
400 | int i = 0;
|
---|
401 | foreach (var constant in constants) {
|
---|
402 | // replace "." with ".&" to align decimal points
|
---|
403 | var constStr = string.Format(System.Globalization.NumberFormatInfo.InvariantInfo, "{0:G5}", constant);
|
---|
404 | if (!constStr.Contains(".")) constStr = constStr + ".0";
|
---|
405 | constStr = constStr.Replace(".", "\\negthickspace&."); // fix problem in rendering of aligned expressions
|
---|
406 | strBuilder.Append("c_{" + i + "}& = & " + constStr);
|
---|
407 | strBuilder.Append(@"\\");
|
---|
408 | i++;
|
---|
409 | }
|
---|
410 | }
|
---|
411 | strBuilder.AppendLine("\\end{align*}");
|
---|
412 | } else if (node.Symbol is Defun) {
|
---|
413 | } else if (node.Symbol is InvokeFunction) {
|
---|
414 | strBuilder.Append(@" \right) ");
|
---|
415 | } else if (node.Symbol is StartSymbol) {
|
---|
416 | } else if (node.Symbol is Argument) {
|
---|
417 | } else if (node.Symbol is Derivative) {
|
---|
418 | strBuilder.Append(@" \right) }{dt} ");
|
---|
419 | } else if (node.Symbol is TimeLag) {
|
---|
420 | var laggedNode = node as ILaggedTreeNode;
|
---|
421 | currentLag -= laggedNode.Lag;
|
---|
422 | } else if (node.Symbol is Power) {
|
---|
423 | strBuilder.Append(@" \right) } ");
|
---|
424 | } else if (node.Symbol is Root) {
|
---|
425 | strBuilder.Append(@" \right) } } ");
|
---|
426 | } else if (node.Symbol is Integral) {
|
---|
427 | strBuilder.Append(@" \right) ");
|
---|
428 | } else if (node.Symbol is VariableCondition) {
|
---|
429 | strBuilder.Append(@"\right) ");
|
---|
430 | } else {
|
---|
431 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
|
---|
432 | }
|
---|
433 | }
|
---|
434 |
|
---|
435 | private string LagToString(int lag) {
|
---|
436 | if (lag < 0) {
|
---|
437 | return "(t" + lag + ")";
|
---|
438 | } else if (lag > 0) {
|
---|
439 | return "(t+" + lag + ")";
|
---|
440 | } else return "";
|
---|
441 | }
|
---|
442 |
|
---|
443 | private string EscapeLatexString(string s) {
|
---|
444 | return "\\text{" +
|
---|
445 | s
|
---|
446 | .Replace("\\", "\\\\")
|
---|
447 | .Replace("{", "\\{")
|
---|
448 | .Replace("}", "\\}")
|
---|
449 | + "}";
|
---|
450 | }
|
---|
451 | }
|
---|
452 | }
|
---|