[4327] | 1 | #region License Information
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| 2 | /* HeuristicLab
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[16130] | 3 | * Copyright (C) 2002-2018 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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[4327] | 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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[6975] | 22 | using System;
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| 23 | using System.Collections.Generic;
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| 24 | using System.Linq;
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[4327] | 25 | using System.Text;
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[6975] | 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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[4327] | 29 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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| 30 |
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[5745] | 31 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
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[4969] | 32 | [Item("LaTeX String Formatter", "Formatter for symbolic expression trees for import into LaTeX documents.")]
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[5429] | 33 | [StorableClass]
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[5745] | 34 | public sealed class SymbolicDataAnalysisExpressionLatexFormatter : NamedItem, ISymbolicExpressionTreeStringFormatter {
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[14878] | 35 | private readonly List<KeyValuePair<string, double>> constants;
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| 36 | private int constIndex;
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[8798] | 37 | private int targetCount;
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[5428] | 38 | private int currentLag;
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[14312] | 39 | private string targetVariable;
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| 40 | private bool containsTimeSeriesSymbol;
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[4969] | 41 |
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[5429] | 42 | [StorableConstructor]
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[5745] | 43 | private SymbolicDataAnalysisExpressionLatexFormatter(bool deserializing) : base(deserializing) { }
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| 44 | private SymbolicDataAnalysisExpressionLatexFormatter(SymbolicDataAnalysisExpressionLatexFormatter original, Cloner cloner)
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[5429] | 45 | : base(original, cloner) {
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[14878] | 46 | constants = new List<KeyValuePair<string, double>>(original.constants);
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| 47 | constIndex = original.constIndex;
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| 48 | currentLag = original.currentLag;
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| 49 | targetCount = original.targetCount;
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[5429] | 50 | }
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[5745] | 51 | public SymbolicDataAnalysisExpressionLatexFormatter()
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| 52 | : base() {
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| 53 | Name = ItemName;
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| 54 | Description = ItemDescription;
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[14878] | 55 | constants = new List<KeyValuePair<string, double>>();
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[4969] | 56 | }
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[4327] | 57 |
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[4900] | 58 | public override IDeepCloneable Clone(Cloner cloner) {
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[5745] | 59 | return new SymbolicDataAnalysisExpressionLatexFormatter(this, cloner);
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[4900] | 60 | }
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| 61 |
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[5745] | 62 | public string Format(ISymbolicExpressionTree symbolicExpressionTree) {
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[14312] | 63 | return Format(symbolicExpressionTree, null);
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| 64 | }
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| 65 | public string Format(ISymbolicExpressionTree symbolicExpressionTree, string targetVariable) {
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[4327] | 66 | try {
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| 67 | StringBuilder strBuilder = new StringBuilder();
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[4969] | 68 | constants.Clear();
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[14878] | 69 | constIndex = 0;
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[14312] | 70 | this.targetVariable = targetVariable;
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| 71 | containsTimeSeriesSymbol = symbolicExpressionTree.IterateNodesBreadth().Any(n => IsTimeSeriesSymbol(n.Symbol));
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[4327] | 72 | strBuilder.AppendLine(FormatRecursively(symbolicExpressionTree.Root));
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| 73 | return strBuilder.ToString();
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[14576] | 74 | } catch (NotImplementedException ex) {
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[4327] | 75 | return ex.Message + Environment.NewLine + ex.StackTrace;
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| 76 | }
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| 77 | }
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[14312] | 78 | static bool IsTimeSeriesSymbol(ISymbol s) {
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| 79 | return s is TimeLag || s is Integral || s is Derivative || s is LaggedVariable;
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| 80 | }
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[4327] | 81 |
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[5745] | 82 | private string FormatRecursively(ISymbolicExpressionTreeNode node) {
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[4327] | 83 | StringBuilder strBuilder = new StringBuilder();
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[5428] | 84 | currentLag = 0;
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[4327] | 85 | FormatBegin(node, strBuilder);
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| 86 |
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[6803] | 87 | if (node.SubtreeCount > 0) {
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[5745] | 88 | strBuilder.Append(FormatRecursively(node.GetSubtree(0)));
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[4327] | 89 | }
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[7140] | 90 | int i = 1;
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[14878] | 91 | foreach (var subTree in node.Subtrees.Skip(1)) {
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[7140] | 92 | FormatSep(node, strBuilder, i);
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[4327] | 93 | // format the whole subtree
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| 94 | strBuilder.Append(FormatRecursively(subTree));
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[7140] | 95 | i++;
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[4327] | 96 | }
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| 97 |
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| 98 | FormatEnd(node, strBuilder);
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| 99 |
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| 100 | return strBuilder.ToString();
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| 101 | }
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| 102 |
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[5745] | 103 | private void FormatBegin(ISymbolicExpressionTreeNode node, StringBuilder strBuilder) {
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[4327] | 104 | if (node.Symbol is Addition) {
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[7446] | 105 | strBuilder.Append(@" \left( ");
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[4327] | 106 | } else if (node.Symbol is Subtraction) {
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[6803] | 107 | if (node.SubtreeCount == 1) {
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[7446] | 108 | strBuilder.Append(@"- \left( ");
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[5428] | 109 | } else {
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[7446] | 110 | strBuilder.Append(@" \left( ");
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[5428] | 111 | }
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[4327] | 112 | } else if (node.Symbol is Multiplication) {
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| 113 | } else if (node.Symbol is Division) {
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[6803] | 114 | if (node.SubtreeCount == 1) {
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[14576] | 115 | strBuilder.Append(@" \cfrac{1}{");
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[5428] | 116 | } else {
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| 117 | strBuilder.Append(@" \cfrac{ ");
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| 118 | }
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[4969] | 119 | } else if (node.Symbol is Average) {
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[5428] | 120 | // skip output of (1/1) if only one subtree
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[6803] | 121 | if (node.SubtreeCount > 1) {
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| 122 | strBuilder.Append(@" \cfrac{1}{" + node.SubtreeCount + @"}");
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[5428] | 123 | }
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[7446] | 124 | strBuilder.Append(@" \left( ");
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[4969] | 125 | } else if (node.Symbol is Logarithm) {
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[7446] | 126 | strBuilder.Append(@"\log \left( ");
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[4969] | 127 | } else if (node.Symbol is Exponential) {
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[7446] | 128 | strBuilder.Append(@"\exp \left( ");
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[7695] | 129 | } else if (node.Symbol is Square) {
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| 130 | strBuilder.Append(@"\left(");
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| 131 | } else if (node.Symbol is SquareRoot) {
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| 132 | strBuilder.Append(@"\sqrt{");
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[4969] | 133 | } else if (node.Symbol is Sine) {
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[7446] | 134 | strBuilder.Append(@"\sin \left( ");
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[4969] | 135 | } else if (node.Symbol is Cosine) {
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[7446] | 136 | strBuilder.Append(@"\cos \left( ");
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[4969] | 137 | } else if (node.Symbol is Tangent) {
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[7446] | 138 | strBuilder.Append(@"\tan \left( ");
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[7696] | 139 | } else if (node.Symbol is AiryA) {
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| 140 | strBuilder.Append(@"\operatorname{airy}_a \left( ");
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| 141 | } else if (node.Symbol is AiryB) {
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| 142 | strBuilder.Append(@"\operatorname{airy}_b \left( ");
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| 143 | } else if (node.Symbol is Bessel) {
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| 144 | strBuilder.Append(@"\operatorname{bessel}_1 \left( ");
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| 145 | } else if (node.Symbol is CosineIntegral) {
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| 146 | strBuilder.Append(@"\operatorname{cosInt} \left( ");
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| 147 | } else if (node.Symbol is Dawson) {
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| 148 | strBuilder.Append(@"\operatorname{dawson} \left( ");
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| 149 | } else if (node.Symbol is Erf) {
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| 150 | strBuilder.Append(@"\operatorname{erf} \left( ");
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| 151 | } else if (node.Symbol is ExponentialIntegralEi) {
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| 152 | strBuilder.Append(@"\operatorname{expInt}_i \left( ");
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| 153 | } else if (node.Symbol is FresnelCosineIntegral) {
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[7708] | 154 | strBuilder.Append(@"\operatorname{fresnel}_\operatorname{cosInt} \left( ");
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[7696] | 155 | } else if (node.Symbol is FresnelSineIntegral) {
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[7708] | 156 | strBuilder.Append(@"\operatorname{fresnel}_\operatorname{sinInt} \left( ");
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[7696] | 157 | } else if (node.Symbol is Gamma) {
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| 158 | strBuilder.Append(@"\Gamma \left( ");
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| 159 | } else if (node.Symbol is HyperbolicCosineIntegral) {
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| 160 | strBuilder.Append(@"\operatorname{hypCosInt} \left( ");
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| 161 | } else if (node.Symbol is HyperbolicSineIntegral) {
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| 162 | strBuilder.Append(@"\operatorname{hypSinInt} \left( ");
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[7697] | 163 | } else if (node.Symbol is Norm) {
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| 164 | strBuilder.Append(@"\operatorname{norm} \left( ");
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[7696] | 165 | } else if (node.Symbol is Psi) {
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| 166 | strBuilder.Append(@"\operatorname{digamma} \left( ");
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| 167 | } else if (node.Symbol is SineIntegral) {
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| 168 | strBuilder.Append(@"\operatorname{sinInt} \left( ");
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[4969] | 169 | } else if (node.Symbol is GreaterThan) {
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[7446] | 170 | strBuilder.Append(@" \left( ");
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[4969] | 171 | } else if (node.Symbol is LessThan) {
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[7446] | 172 | strBuilder.Append(@" \left( ");
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[4969] | 173 | } else if (node.Symbol is And) {
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[7451] | 174 | strBuilder.Append(@" \left( \left( ");
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[4969] | 175 | } else if (node.Symbol is Or) {
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[7451] | 176 | strBuilder.Append(@" \left( \left( ");
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[4969] | 177 | } else if (node.Symbol is Not) {
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[7446] | 178 | strBuilder.Append(@" \neg \left( ");
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[4969] | 179 | } else if (node.Symbol is IfThenElse) {
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[7446] | 180 | strBuilder.Append(@" \operatorname{if} \left( ");
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[4327] | 181 | } else if (node.Symbol is Constant) {
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[14878] | 182 | var constName = "c_{" + constIndex + "}";
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| 183 | constIndex++;
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[4969] | 184 | var constNode = node as ConstantTreeNode;
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[14576] | 185 | if (constNode.Value.IsAlmost(1.0)) {
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| 186 | strBuilder.Append("1 ");
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| 187 | } else {
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[14878] | 188 | strBuilder.Append(constName);
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| 189 | constants.Add(new KeyValuePair<string, double>(constName, constNode.Value));
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[14576] | 190 | }
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[14878] | 191 |
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| 192 | } else if (node.Symbol is FactorVariable) {
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| 193 | var factorNode = node as FactorVariableTreeNode;
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| 194 | var constName = "c_{" + constIndex + "}";
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| 195 | strBuilder.Append(constName + " ");
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| 196 | foreach (var e in factorNode.Symbol.GetVariableValues(factorNode.VariableName)
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| 197 | .Zip(factorNode.Weights, Tuple.Create)) {
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| 198 | constants.Add(new KeyValuePair<string, double>("c_{" + constIndex + ", " + EscapeLatexString(factorNode.VariableName) + "=" + EscapeLatexString(e.Item1) + "}", e.Item2));
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| 199 | }
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| 200 | constIndex++;
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| 201 | } else if (node.Symbol is BinaryFactorVariable) {
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| 202 | var binFactorNode = node as BinaryFactorVariableTreeNode;
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| 203 | if (!binFactorNode.Weight.IsAlmost((1.0))) {
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| 204 | var constName = "c_{" + constIndex + "}";
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| 205 | strBuilder.Append(constName + " \\cdot");
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| 206 | constants.Add(new KeyValuePair<string, double>(constName, binFactorNode.Weight));
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| 207 | constIndex++;
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| 208 | }
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| 209 | strBuilder.Append("(" + EscapeLatexString(binFactorNode.VariableName));
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| 210 | strBuilder.Append(LagToString(currentLag));
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| 211 | strBuilder.Append(" = " + EscapeLatexString(binFactorNode.VariableValue) + " )");
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[5428] | 212 | } else if (node.Symbol is LaggedVariable) {
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| 213 | var laggedVarNode = node as LaggedVariableTreeNode;
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[7038] | 214 | if (!laggedVarNode.Weight.IsAlmost(1.0)) {
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[14878] | 215 | var constName = "c_{" + constIndex + "}";
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| 216 | strBuilder.Append(constName + " \\cdot");
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| 217 | constants.Add(new KeyValuePair<string, double>(constName, laggedVarNode.Weight));
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| 218 | constIndex++;
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[7038] | 219 | }
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| 220 | strBuilder.Append(EscapeLatexString(laggedVarNode.VariableName));
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[5428] | 221 | strBuilder.Append(LagToString(currentLag + laggedVarNode.Lag));
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[7038] | 222 |
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| 223 | } else if (node.Symbol is Variable) {
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[4327] | 224 | var varNode = node as VariableTreeNode;
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[7038] | 225 | if (!varNode.Weight.IsAlmost((1.0))) {
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[14878] | 226 | var constName = "c_{" + constIndex + "}";
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| 227 | strBuilder.Append(constName + " \\cdot");
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| 228 | constants.Add(new KeyValuePair<string, double>(constName, varNode.Weight));
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| 229 | constIndex++;
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[7038] | 230 | }
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| 231 | strBuilder.Append(EscapeLatexString(varNode.VariableName));
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[5428] | 232 | strBuilder.Append(LagToString(currentLag));
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[4327] | 233 | } else if (node.Symbol is ProgramRootSymbol) {
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[7446] | 234 | strBuilder
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| 235 | .AppendLine("\\begin{align*}")
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| 236 | .AppendLine("\\nonumber");
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[4327] | 237 | } else if (node.Symbol is Defun) {
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| 238 | var defunNode = node as DefunTreeNode;
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[4969] | 239 | strBuilder.Append(defunNode.FunctionName + " & = ");
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[4327] | 240 | } else if (node.Symbol is InvokeFunction) {
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| 241 | var invokeNode = node as InvokeFunctionTreeNode;
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[7446] | 242 | strBuilder.Append(invokeNode.Symbol.FunctionName + @" \left( ");
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[4327] | 243 | } else if (node.Symbol is StartSymbol) {
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[14312] | 244 | FormatStartSymbol(strBuilder);
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[4900] | 245 | } else if (node.Symbol is Argument) {
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[4327] | 246 | var argSym = node.Symbol as Argument;
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[4900] | 247 | strBuilder.Append(" ARG+" + argSym.ArgumentIndex + " ");
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[5428] | 248 | } else if (node.Symbol is Derivative) {
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[7446] | 249 | strBuilder.Append(@" \cfrac{d \left( ");
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[5428] | 250 | } else if (node.Symbol is TimeLag) {
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| 251 | var laggedNode = node as ILaggedTreeNode;
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| 252 | currentLag += laggedNode.Lag;
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| 253 | } else if (node.Symbol is Power) {
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[7446] | 254 | strBuilder.Append(@" \left( ");
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[5428] | 255 | } else if (node.Symbol is Root) {
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[7446] | 256 | strBuilder.Append(@" \left( ");
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[5428] | 257 | } else if (node.Symbol is Integral) {
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| 258 | // actually a new variable for t is needed in all subtrees (TODO)
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| 259 | var laggedTreeNode = node as ILaggedTreeNode;
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[7446] | 260 | strBuilder.Append(@"\sum_{t=" + (laggedTreeNode.Lag + currentLag) + @"}^0 \left( ");
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[5468] | 261 | } else if (node.Symbol is VariableCondition) {
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| 262 | var conditionTreeNode = node as VariableConditionTreeNode;
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[14878] | 263 | var constName = "c_{" + constants.Count + "}";
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| 264 | string p = @"1 / 1 + \exp - " + constName + " ";
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| 265 | constants.Add(new KeyValuePair<string, double>(constName, conditionTreeNode.Slope));
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| 266 | constIndex++;
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| 267 | var const2Name = "c_{" + constants.Count + @"}";
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| 268 | p += @" \cdot " + EscapeLatexString(conditionTreeNode.VariableName) + LagToString(currentLag) + " - " + const2Name + " ";
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| 269 | constants.Add(new KeyValuePair<string, double>(const2Name, conditionTreeNode.Threshold));
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| 270 | constIndex++;
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[7446] | 271 | strBuilder.Append(@" \left( " + p + @"\cdot ");
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[4327] | 272 | } else {
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| 273 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
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| 274 | }
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| 275 | }
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| 276 |
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[7140] | 277 | private void FormatSep(ISymbolicExpressionTreeNode node, StringBuilder strBuilder, int step) {
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[4327] | 278 | if (node.Symbol is Addition) {
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| 279 | strBuilder.Append(" + ");
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| 280 | } else if (node.Symbol is Subtraction) {
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| 281 | strBuilder.Append(" - ");
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| 282 | } else if (node.Symbol is Multiplication) {
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[5428] | 283 | strBuilder.Append(@" \cdot ");
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[4327] | 284 | } else if (node.Symbol is Division) {
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[7140] | 285 | if (step + 1 == node.SubtreeCount)
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| 286 | strBuilder.Append(@"}{");
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| 287 | else
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| 288 | strBuilder.Append(@" }{ \cfrac{ ");
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[4969] | 289 | } else if (node.Symbol is Average) {
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| 290 | strBuilder.Append(@" + ");
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| 291 | } else if (node.Symbol is Logarithm) {
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| 292 | throw new InvalidOperationException();
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| 293 | } else if (node.Symbol is Exponential) {
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| 294 | throw new InvalidOperationException();
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[7695] | 295 | } else if (node.Symbol is Square) {
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| 296 | throw new InvalidOperationException();
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| 297 | } else if (node.Symbol is SquareRoot) {
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| 298 | throw new InvalidOperationException();
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[4969] | 299 | } else if (node.Symbol is Sine) {
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| 300 | throw new InvalidOperationException();
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| 301 | } else if (node.Symbol is Cosine) {
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| 302 | throw new InvalidOperationException();
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| 303 | } else if (node.Symbol is Tangent) {
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| 304 | throw new InvalidOperationException();
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[7696] | 305 | } else if (node.Symbol is AiryA) {
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| 306 | throw new InvalidOperationException();
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| 307 | } else if (node.Symbol is AiryB) {
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| 308 | throw new InvalidOperationException();
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| 309 | } else if (node.Symbol is Bessel) {
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| 310 | throw new InvalidOperationException();
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| 311 | } else if (node.Symbol is CosineIntegral) {
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| 312 | throw new InvalidOperationException();
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| 313 | } else if (node.Symbol is Dawson) {
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| 314 | throw new InvalidOperationException();
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| 315 | } else if (node.Symbol is Erf) {
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| 316 | throw new InvalidOperationException();
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| 317 | } else if (node.Symbol is ExponentialIntegralEi) {
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| 318 | throw new InvalidOperationException();
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| 319 | } else if (node.Symbol is FresnelCosineIntegral) {
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| 320 | throw new InvalidOperationException();
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| 321 | } else if (node.Symbol is FresnelSineIntegral) {
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| 322 | throw new InvalidOperationException();
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| 323 | } else if (node.Symbol is Gamma) {
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| 324 | throw new InvalidOperationException();
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| 325 | } else if (node.Symbol is HyperbolicCosineIntegral) {
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| 326 | throw new InvalidOperationException();
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| 327 | } else if (node.Symbol is HyperbolicSineIntegral) {
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| 328 | throw new InvalidOperationException();
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[7697] | 329 | } else if (node.Symbol is Norm) {
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| 330 | throw new InvalidOperationException();
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[7696] | 331 | } else if (node.Symbol is Psi) {
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| 332 | throw new InvalidOperationException();
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| 333 | } else if (node.Symbol is SineIntegral) {
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| 334 | throw new InvalidOperationException();
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[4969] | 335 | } else if (node.Symbol is GreaterThan) {
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| 336 | strBuilder.Append(@" > ");
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| 337 | } else if (node.Symbol is LessThan) {
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| 338 | strBuilder.Append(@" < ");
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| 339 | } else if (node.Symbol is And) {
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[7446] | 340 | strBuilder.Append(@" > 0 \right) \land \left(");
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[4969] | 341 | } else if (node.Symbol is Or) {
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[7446] | 342 | strBuilder.Append(@" > 0 \right) \lor \left(");
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[4969] | 343 | } else if (node.Symbol is Not) {
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| 344 | throw new InvalidOperationException();
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| 345 | } else if (node.Symbol is IfThenElse) {
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[7446] | 346 | strBuilder.Append(@" , ");
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[4327] | 347 | } else if (node.Symbol is ProgramRootSymbol) {
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| 348 | strBuilder.Append(@"\\" + Environment.NewLine);
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| 349 | } else if (node.Symbol is Defun) {
|
---|
| 350 | } else if (node.Symbol is InvokeFunction) {
|
---|
| 351 | strBuilder.Append(" , ");
|
---|
| 352 | } else if (node.Symbol is StartSymbol) {
|
---|
[8798] | 353 | strBuilder.Append(@"\\" + Environment.NewLine);
|
---|
[14312] | 354 | FormatStartSymbol(strBuilder);
|
---|
[5428] | 355 | } else if (node.Symbol is Power) {
|
---|
[7446] | 356 | strBuilder.Append(@"\right) ^ { \operatorname{round} \left(");
|
---|
[5428] | 357 | } else if (node.Symbol is Root) {
|
---|
[7446] | 358 | strBuilder.Append(@"\right) ^ { \cfrac{1}{ \operatorname{round} \left(");
|
---|
[5468] | 359 | } else if (node.Symbol is VariableCondition) {
|
---|
| 360 | var conditionTreeNode = node as VariableConditionTreeNode;
|
---|
[14878] | 361 | var const1Name = "c_{" + constants.Count + "}";
|
---|
| 362 | string p = @"1 / \left( 1 + \exp \left( - " + const1Name + " ";
|
---|
| 363 | constants.Add(new KeyValuePair<string, double>(const1Name, conditionTreeNode.Slope));
|
---|
| 364 | constIndex++;
|
---|
| 365 | var const2Name = "c_{" + constants.Count + "}";
|
---|
| 366 | p += @" \cdot " + EscapeLatexString(conditionTreeNode.VariableName) + LagToString(currentLag) + " - " + const2Name + " \right) \right) \right) ";
|
---|
| 367 | constants.Add(new KeyValuePair<string, double>(const2Name, conditionTreeNode.Threshold));
|
---|
| 368 | constIndex++;
|
---|
[7446] | 369 | strBuilder.Append(@" + \left( 1 - " + p + @" \right) \cdot ");
|
---|
[4327] | 370 | } else {
|
---|
| 371 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
|
---|
| 372 | }
|
---|
| 373 | }
|
---|
| 374 |
|
---|
[5745] | 375 | private void FormatEnd(ISymbolicExpressionTreeNode node, StringBuilder strBuilder) {
|
---|
[4327] | 376 | if (node.Symbol is Addition) {
|
---|
[7446] | 377 | strBuilder.Append(@" \right) ");
|
---|
[4327] | 378 | } else if (node.Symbol is Subtraction) {
|
---|
[7446] | 379 | strBuilder.Append(@" \right) ");
|
---|
[4327] | 380 | } else if (node.Symbol is Multiplication) {
|
---|
| 381 | } else if (node.Symbol is Division) {
|
---|
[7140] | 382 | strBuilder.Append(" } ");
|
---|
| 383 | for (int i = 2; i < node.SubtreeCount; i++)
|
---|
[5428] | 384 | strBuilder.Append(" } ");
|
---|
[4969] | 385 | } else if (node.Symbol is Average) {
|
---|
[7446] | 386 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 387 | } else if (node.Symbol is Logarithm) {
|
---|
[7446] | 388 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 389 | } else if (node.Symbol is Exponential) {
|
---|
[7446] | 390 | strBuilder.Append(@" \right) ");
|
---|
[7695] | 391 | } else if (node.Symbol is Square) {
|
---|
| 392 | strBuilder.Append(@"\right)^2");
|
---|
| 393 | } else if (node.Symbol is SquareRoot) {
|
---|
| 394 | strBuilder.Append(@"}");
|
---|
[4969] | 395 | } else if (node.Symbol is Sine) {
|
---|
[7446] | 396 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 397 | } else if (node.Symbol is Cosine) {
|
---|
[7446] | 398 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 399 | } else if (node.Symbol is Tangent) {
|
---|
[7446] | 400 | strBuilder.Append(@" \right) ");
|
---|
[7696] | 401 | } else if (node.Symbol is AiryA) {
|
---|
| 402 | strBuilder.Append(@" \right) ");
|
---|
| 403 | } else if (node.Symbol is AiryB) {
|
---|
| 404 | strBuilder.Append(@" \right) ");
|
---|
| 405 | } else if (node.Symbol is Bessel) {
|
---|
| 406 | strBuilder.Append(@" \right) ");
|
---|
| 407 | } else if (node.Symbol is CosineIntegral) {
|
---|
| 408 | strBuilder.Append(@" \right) ");
|
---|
| 409 | } else if (node.Symbol is Dawson) {
|
---|
| 410 | strBuilder.Append(@" \right) ");
|
---|
| 411 | } else if (node.Symbol is Erf) {
|
---|
| 412 | strBuilder.Append(@" \right) ");
|
---|
| 413 | } else if (node.Symbol is ExponentialIntegralEi) {
|
---|
| 414 | strBuilder.Append(@" \right) ");
|
---|
| 415 | } else if (node.Symbol is FresnelCosineIntegral) {
|
---|
| 416 | strBuilder.Append(@" \right) ");
|
---|
| 417 | } else if (node.Symbol is FresnelSineIntegral) {
|
---|
| 418 | strBuilder.Append(@" \right) ");
|
---|
| 419 | } else if (node.Symbol is Gamma) {
|
---|
| 420 | strBuilder.Append(@" \right) ");
|
---|
| 421 | } else if (node.Symbol is HyperbolicCosineIntegral) {
|
---|
| 422 | strBuilder.Append(@" \right) ");
|
---|
| 423 | } else if (node.Symbol is HyperbolicSineIntegral) {
|
---|
| 424 | strBuilder.Append(@" \right) ");
|
---|
[7697] | 425 | } else if (node.Symbol is Norm) {
|
---|
| 426 | strBuilder.Append(@" \right) ");
|
---|
[7696] | 427 | } else if (node.Symbol is Psi) {
|
---|
| 428 | strBuilder.Append(@" \right) ");
|
---|
| 429 | } else if (node.Symbol is SineIntegral) {
|
---|
| 430 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 431 | } else if (node.Symbol is GreaterThan) {
|
---|
[7446] | 432 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 433 | } else if (node.Symbol is LessThan) {
|
---|
[7446] | 434 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 435 | } else if (node.Symbol is And) {
|
---|
[7446] | 436 | strBuilder.Append(@" > 0 \right) \right) ");
|
---|
[4969] | 437 | } else if (node.Symbol is Or) {
|
---|
[7446] | 438 | strBuilder.Append(@" > 0 \right) \right) ");
|
---|
[4969] | 439 | } else if (node.Symbol is Not) {
|
---|
[7446] | 440 | strBuilder.Append(@" \right) ");
|
---|
[4969] | 441 | } else if (node.Symbol is IfThenElse) {
|
---|
[7446] | 442 | strBuilder.Append(@" \right) ");
|
---|
[4327] | 443 | } else if (node.Symbol is Constant) {
|
---|
[5428] | 444 | } else if (node.Symbol is LaggedVariable) {
|
---|
[7038] | 445 | } else if (node.Symbol is Variable) {
|
---|
[14878] | 446 | } else if (node.Symbol is FactorVariable) {
|
---|
| 447 | } else if (node.Symbol is BinaryFactorVariable) {
|
---|
[4327] | 448 | } else if (node.Symbol is ProgramRootSymbol) {
|
---|
[7446] | 449 | strBuilder
|
---|
| 450 | .AppendLine("\\end{align*}")
|
---|
| 451 | .AppendLine("\\begin{align*}")
|
---|
| 452 | .AppendLine("\\nonumber");
|
---|
[4969] | 453 | // output all constant values
|
---|
| 454 | if (constants.Count > 0) {
|
---|
| 455 | foreach (var constant in constants) {
|
---|
[7446] | 456 | // replace "." with ".&" to align decimal points
|
---|
[14878] | 457 | var constStr = string.Format(System.Globalization.NumberFormatInfo.InvariantInfo, "{0:G5}", constant.Value);
|
---|
[7451] | 458 | if (!constStr.Contains(".")) constStr = constStr + ".0";
|
---|
[14312] | 459 | constStr = constStr.Replace(".", "&."); // fix problem in rendering of aligned expressions
|
---|
[14878] | 460 | strBuilder.Append(constant.Key + "& = & " + constStr);
|
---|
[7446] | 461 | strBuilder.Append(@"\\");
|
---|
[4969] | 462 | }
|
---|
| 463 | }
|
---|
[7446] | 464 | strBuilder.AppendLine("\\end{align*}");
|
---|
[4327] | 465 | } else if (node.Symbol is Defun) {
|
---|
| 466 | } else if (node.Symbol is InvokeFunction) {
|
---|
[7446] | 467 | strBuilder.Append(@" \right) ");
|
---|
[4327] | 468 | } else if (node.Symbol is StartSymbol) {
|
---|
| 469 | } else if (node.Symbol is Argument) {
|
---|
[5428] | 470 | } else if (node.Symbol is Derivative) {
|
---|
[7446] | 471 | strBuilder.Append(@" \right) }{dt} ");
|
---|
[5428] | 472 | } else if (node.Symbol is TimeLag) {
|
---|
| 473 | var laggedNode = node as ILaggedTreeNode;
|
---|
| 474 | currentLag -= laggedNode.Lag;
|
---|
| 475 | } else if (node.Symbol is Power) {
|
---|
[7446] | 476 | strBuilder.Append(@" \right) } ");
|
---|
[5428] | 477 | } else if (node.Symbol is Root) {
|
---|
[7446] | 478 | strBuilder.Append(@" \right) } } ");
|
---|
[5428] | 479 | } else if (node.Symbol is Integral) {
|
---|
[7446] | 480 | strBuilder.Append(@" \right) ");
|
---|
[5468] | 481 | } else if (node.Symbol is VariableCondition) {
|
---|
[7446] | 482 | strBuilder.Append(@"\right) ");
|
---|
[4327] | 483 | } else {
|
---|
| 484 | throw new NotImplementedException("Export of " + node.Symbol + " is not implemented.");
|
---|
| 485 | }
|
---|
| 486 | }
|
---|
[6975] | 487 |
|
---|
[14312] | 488 | private void FormatStartSymbol(StringBuilder strBuilder) {
|
---|
| 489 | strBuilder.Append(targetVariable ?? "target_" + (targetCount++));
|
---|
| 490 | if (containsTimeSeriesSymbol)
|
---|
| 491 | strBuilder.Append("(t)");
|
---|
| 492 | strBuilder.Append(" & = ");
|
---|
| 493 | }
|
---|
| 494 |
|
---|
[5428] | 495 | private string LagToString(int lag) {
|
---|
| 496 | if (lag < 0) {
|
---|
| 497 | return "(t" + lag + ")";
|
---|
| 498 | } else if (lag > 0) {
|
---|
| 499 | return "(t+" + lag + ")";
|
---|
[7038] | 500 | } else return "";
|
---|
[5428] | 501 | }
|
---|
[6975] | 502 |
|
---|
| 503 | private string EscapeLatexString(string s) {
|
---|
[7446] | 504 | return "\\text{" +
|
---|
| 505 | s
|
---|
| 506 | .Replace("\\", "\\\\")
|
---|
| 507 | .Replace("{", "\\{")
|
---|
| 508 | .Replace("}", "\\}")
|
---|
| 509 | + "}";
|
---|
[6975] | 510 | }
|
---|
[4327] | 511 | }
|
---|
| 512 | }
|
---|