[16330] | 1 | #region License Information
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| 2 | /* HeuristicLab
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[17180] | 3 | * Copyright (C) Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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[16330] | 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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[16303] | 23 | using System.Collections.Generic;
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| 24 | using System.Linq;
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[17579] | 25 | using HEAL.Attic;
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[16303] | 26 | using HeuristicLab.Common;
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| 27 | using HeuristicLab.Core;
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| 28 | using HeuristicLab.Data;
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| 29 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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[16367] | 30 | using HeuristicLab.Parameters;
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[16303] | 31 |
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[16377] | 32 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
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[16565] | 33 | [StorableType("DE6C1E1E-D7C1-4070-847E-63B68562B10C")]
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[16330] | 34 | [Item("IntervalInterpreter", "Intperter for calculation of intervals of symbolic models.")]
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[16328] | 35 | public sealed class IntervalInterpreter : ParameterizedNamedItem, IStatefulItem {
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| 36 |
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[16303] | 37 | private const string EvaluatedSolutionsParameterName = "EvaluatedSolutions";
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[16330] | 38 |
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[16303] | 39 | public IFixedValueParameter<IntValue> EvaluatedSolutionsParameter {
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| 40 | get { return (IFixedValueParameter<IntValue>)Parameters[EvaluatedSolutionsParameterName]; }
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| 41 | }
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| 42 |
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| 43 | public int EvaluatedSolutions {
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| 44 | get { return EvaluatedSolutionsParameter.Value.Value; }
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| 45 | set { EvaluatedSolutionsParameter.Value.Value = value; }
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| 46 | }
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| 47 |
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[16367] | 48 | [StorableConstructor]
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[16565] | 49 | private IntervalInterpreter(StorableConstructorFlag _) : base(_) { }
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[16328] | 50 | private IntervalInterpreter(IntervalInterpreter original, Cloner cloner)
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[16303] | 51 | : base(original, cloner) { }
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| 52 |
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[16323] | 53 | public IntervalInterpreter()
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[16367] | 54 | : base("IntervalInterpreter", "Intperter for calculation of intervals of symbolic models.") {
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| 55 | Parameters.Add(new FixedValueParameter<IntValue>(EvaluatedSolutionsParameterName, "A counter for the total number of solutions the interpreter has evaluated", new IntValue(0)));
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| 56 | }
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[16303] | 57 |
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| 58 | public override IDeepCloneable Clone(Cloner cloner) {
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[16323] | 59 | return new IntervalInterpreter(this, cloner);
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[16303] | 60 | }
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| 61 |
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[16330] | 62 | private readonly object syncRoot = new object();
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| 63 |
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[16328] | 64 | #region IStatefulItem Members
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| 65 | public void InitializeState() {
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| 66 | EvaluatedSolutions = 0;
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| 67 | }
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| 68 | public void ClearState() { }
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| 69 | #endregion
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| 70 |
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[16740] | 71 | public Interval GetSymbolicExpressionTreeInterval(ISymbolicExpressionTree tree, IDataset dataset, IEnumerable<int> rows = null) {
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[16403] | 72 | var variableRanges = DatasetUtil.GetVariableRanges(dataset, rows);
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[16740] | 73 | return GetSymbolicExpressionTreeInterval(tree, variableRanges);
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[16330] | 74 | }
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| 75 |
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[16740] | 76 | public Interval GetSymbolicExpressionTreeIntervals(ISymbolicExpressionTree tree, IDataset dataset,
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[16822] | 77 | out IDictionary<ISymbolicExpressionTreeNode, Interval> nodeIntervals, IEnumerable<int> rows = null) {
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[16403] | 78 | var variableRanges = DatasetUtil.GetVariableRanges(dataset, rows);
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[16740] | 79 | return GetSymbolicExpressionTreeIntervals(tree, variableRanges, out nodeIntervals);
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[16328] | 80 | }
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| 81 |
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[17579] | 82 | public Interval GetSymbolicExpressionTreeInterval(ISymbolicExpressionTree tree, IReadOnlyDictionary<string, Interval> variableRanges) {
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[16364] | 83 | lock (syncRoot) {
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[16330] | 84 | EvaluatedSolutions++;
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| 85 | }
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[16376] | 86 | int instructionCount = 0;
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[16404] | 87 | var instructions = PrepareInterpreterState(tree, variableRanges);
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[16383] | 88 | var outputInterval = Evaluate(instructions, ref instructionCount);
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[16328] | 89 |
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[16629] | 90 | // because of numerical errors the bounds might be incorrect
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| 91 | if (outputInterval.LowerBound <= outputInterval.UpperBound)
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| 92 | return outputInterval;
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| 93 | else
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| 94 | return new Interval(outputInterval.UpperBound, outputInterval.LowerBound);
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[16328] | 95 | }
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| 96 |
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[16364] | 97 |
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[16740] | 98 | public Interval GetSymbolicExpressionTreeIntervals(ISymbolicExpressionTree tree,
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[17579] | 99 | IReadOnlyDictionary<string, Interval> variableRanges, out IDictionary<ISymbolicExpressionTreeNode, Interval> nodeIntervals) {
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[16330] | 100 | lock (syncRoot) {
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| 101 | EvaluatedSolutions++;
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| 102 | }
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[16376] | 103 | int instructionCount = 0;
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[16404] | 104 | var intervals = new Dictionary<ISymbolicExpressionTreeNode, Interval>();
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| 105 | var instructions = PrepareInterpreterState(tree, variableRanges);
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[16383] | 106 | var outputInterval = Evaluate(instructions, ref instructionCount, intervals);
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[16328] | 107 |
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[16629] | 108 | // fix incorrect intervals if necessary (could occur because of numerical errors)
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| 109 | nodeIntervals = new Dictionary<ISymbolicExpressionTreeNode, Interval>();
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[16740] | 110 | foreach (var kvp in intervals) {
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[16629] | 111 | var interval = kvp.Value;
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| 112 | if (interval.IsInfiniteOrUndefined || interval.LowerBound <= interval.UpperBound)
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| 113 | nodeIntervals.Add(kvp.Key, interval);
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| 114 | else
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| 115 | nodeIntervals.Add(kvp.Key, new Interval(interval.UpperBound, interval.LowerBound));
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| 116 | }
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[16404] | 117 |
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[16629] | 118 | // because of numerical errors the bounds might be incorrect
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| 119 | if (outputInterval.IsInfiniteOrUndefined || outputInterval.LowerBound <= outputInterval.UpperBound)
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| 120 | return outputInterval;
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| 121 | else
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| 122 | return new Interval(outputInterval.UpperBound, outputInterval.LowerBound);
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[16328] | 123 | }
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| 124 |
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[16364] | 125 |
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[17579] | 126 | private static Instruction[] PrepareInterpreterState(ISymbolicExpressionTree tree, IReadOnlyDictionary<string, Interval> variableRanges) {
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[16404] | 127 | if (variableRanges == null)
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| 128 | throw new ArgumentNullException("No variablew ranges are present!", nameof(variableRanges));
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[16328] | 129 |
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[16404] | 130 | //Check if all variables used in the tree are present in the dataset
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[16364] | 131 | foreach (var variable in tree.IterateNodesPrefix().OfType<VariableTreeNode>().Select(n => n.VariableName).Distinct()) {
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[16404] | 132 | if (!variableRanges.ContainsKey(variable)) throw new InvalidOperationException($"No ranges for variable {variable} is present");
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[16364] | 133 | }
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[16330] | 134 |
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[16404] | 135 | Instruction[] code = SymbolicExpressionTreeCompiler.Compile(tree, OpCodes.MapSymbolToOpCode);
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[16364] | 136 | foreach (Instruction instr in code.Where(i => i.opCode == OpCodes.Variable)) {
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| 137 | var variableTreeNode = (VariableTreeNode)instr.dynamicNode;
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[16404] | 138 | instr.data = variableRanges[variableTreeNode.VariableName];
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[16303] | 139 | }
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[16330] | 140 | return code;
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[16303] | 141 | }
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| 142 |
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[16822] | 143 | private Interval Evaluate(Instruction[] instructions, ref int instructionCounter, IDictionary<ISymbolicExpressionTreeNode, Interval> nodeIntervals = null) {
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[16404] | 144 | Instruction currentInstr = instructions[instructionCounter];
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| 145 | //Use ref parameter, because the tree will be iterated through recursively from the left-side branch to the right side
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| 146 | //Update instructionCounter, whenever Evaluate is called
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| 147 | instructionCounter++;
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[16374] | 148 | Interval result = null;
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[16331] | 149 |
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[16303] | 150 | switch (currentInstr.opCode) {
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[16383] | 151 | //Variables, Constants, ...
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| 152 | case OpCodes.Variable: {
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| 153 | var variableTreeNode = (VariableTreeNode)currentInstr.dynamicNode;
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[16404] | 154 | var weightInterval = new Interval(variableTreeNode.Weight, variableTreeNode.Weight);
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| 155 | var variableInterval = (Interval)currentInstr.data;
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[16383] | 156 |
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[16404] | 157 | result = Interval.Multiply(variableInterval, weightInterval);
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[16403] | 158 | break;
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[16383] | 159 | }
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| 160 | case OpCodes.Constant: {
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| 161 | var constTreeNode = (ConstantTreeNode)currentInstr.dynamicNode;
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[16403] | 162 | result = new Interval(constTreeNode.Value, constTreeNode.Value);
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| 163 | break;
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[16383] | 164 | }
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[16303] | 165 | //Elementary arithmetic rules
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| 166 | case OpCodes.Add: {
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[16404] | 167 | result = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16303] | 168 | for (int i = 1; i < currentInstr.nArguments; i++) {
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[16404] | 169 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 170 | result = Interval.Add(result, argumentInterval);
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[16303] | 171 | }
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[16331] | 172 | break;
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[16303] | 173 | }
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| 174 | case OpCodes.Sub: {
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[16404] | 175 | result = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 176 | if (currentInstr.nArguments == 1)
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| 177 | result = Interval.Multiply(new Interval(-1, -1), result);
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[16404] | 178 |
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[16303] | 179 | for (int i = 1; i < currentInstr.nArguments; i++) {
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[16404] | 180 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 181 | result = Interval.Subtract(result, argumentInterval);
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[16303] | 182 | }
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[16331] | 183 | break;
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[16303] | 184 | }
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| 185 | case OpCodes.Mul: {
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[16404] | 186 | result = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16303] | 187 | for (int i = 1; i < currentInstr.nArguments; i++) {
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[16404] | 188 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 189 | result = Interval.Multiply(result, argumentInterval);
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[16303] | 190 | }
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[16331] | 191 | break;
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[16303] | 192 | }
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| 193 | case OpCodes.Div: {
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[16404] | 194 | result = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 195 | if (currentInstr.nArguments == 1)
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| 196 | result = Interval.Divide(new Interval(1, 1), result);
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[16383] | 197 |
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[16303] | 198 | for (int i = 1; i < currentInstr.nArguments; i++) {
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[16404] | 199 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 200 | result = Interval.Divide(result, argumentInterval);
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[16303] | 201 | }
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[16331] | 202 | break;
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[16303] | 203 | }
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| 204 | //Trigonometric functions
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| 205 | case OpCodes.Sin: {
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[16404] | 206 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 207 | result = Interval.Sine(argumentInterval);
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[16331] | 208 | break;
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[16303] | 209 | }
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| 210 | case OpCodes.Cos: {
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[16404] | 211 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 212 | result = Interval.Cosine(argumentInterval);
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[16331] | 213 | break;
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[16303] | 214 | }
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| 215 | case OpCodes.Tan: {
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[16404] | 216 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 217 | result = Interval.Tangens(argumentInterval);
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[16331] | 218 | break;
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[16303] | 219 | }
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[16758] | 220 | case OpCodes.Tanh: {
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| 221 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 222 | result = Interval.HyperbolicTangent(argumentInterval);
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| 223 | break;
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| 224 | }
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[16303] | 225 | //Exponential functions
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| 226 | case OpCodes.Log: {
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[16404] | 227 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 228 | result = Interval.Logarithm(argumentInterval);
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[16331] | 229 | break;
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[16303] | 230 | }
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| 231 | case OpCodes.Exp: {
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[16404] | 232 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 233 | result = Interval.Exponential(argumentInterval);
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[16331] | 234 | break;
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[16303] | 235 | }
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[16323] | 236 | case OpCodes.Square: {
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[16404] | 237 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[16383] | 238 | result = Interval.Square(argumentInterval);
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[16331] | 239 | break;
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[16323] | 240 | }
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[17579] | 241 | case OpCodes.SquareRoot: {
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| 242 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 243 | result = Interval.SquareRoot(argumentInterval);
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| 244 | break;
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| 245 | }
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| 246 | case OpCodes.Cube: {
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| 247 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 248 | result = Interval.Cube(argumentInterval);
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| 249 | break;
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| 250 | }
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| 251 | case OpCodes.CubeRoot: {
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| 252 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 253 | result = Interval.CubicRoot(argumentInterval);
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| 254 | break;
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| 255 | }
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| 256 | case OpCodes.Absolute: {
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| 257 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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| 258 | result = Interval.Absolute(argumentInterval);
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| 259 | break;
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| 260 | }
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| 261 | case OpCodes.AnalyticQuotient: {
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[16404] | 262 | result = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[17579] | 263 | for (var i = 1; i < currentInstr.nArguments; i++) {
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[16404] | 264 | var argumentInterval = Evaluate(instructions, ref instructionCounter, nodeIntervals);
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[17579] | 265 | result = Interval.AnalyticalQuotient(result, argumentInterval);
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[16303] | 266 | }
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[17579] | 267 |
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[16331] | 268 | break;
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[16303] | 269 | }
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| 270 | default:
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[16383] | 271 | throw new NotSupportedException($"The tree contains the unknown symbol {currentInstr.dynamicNode.Symbol}");
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[16303] | 272 | }
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[16331] | 273 |
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[16404] | 274 | if (nodeIntervals != null)
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| 275 | nodeIntervals.Add(currentInstr.dynamicNode, result);
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[16383] | 276 |
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[16374] | 277 | return result;
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[16303] | 278 | }
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[16330] | 279 |
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| 280 | public static bool IsCompatible(ISymbolicExpressionTree tree) {
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| 281 | var containsUnknownSyumbol = (
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| 282 | from n in tree.Root.GetSubtree(0).IterateNodesPrefix()
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| 283 | where
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[17579] | 284 | !(n.Symbol is Problems.DataAnalysis.Symbolic.Variable) &&
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| 285 | !(n.Symbol is Constant) &&
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[16330] | 286 | !(n.Symbol is StartSymbol) &&
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| 287 | !(n.Symbol is Addition) &&
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| 288 | !(n.Symbol is Subtraction) &&
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| 289 | !(n.Symbol is Multiplication) &&
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| 290 | !(n.Symbol is Division) &&
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| 291 | !(n.Symbol is Sine) &&
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| 292 | !(n.Symbol is Cosine) &&
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| 293 | !(n.Symbol is Tangent) &&
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| 294 | !(n.Symbol is Logarithm) &&
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| 295 | !(n.Symbol is Exponential) &&
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| 296 | !(n.Symbol is Square) &&
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| 297 | !(n.Symbol is SquareRoot) &&
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[17579] | 298 | !(n.Symbol is Cube) &&
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| 299 | !(n.Symbol is CubeRoot) &&
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| 300 | !(n.Symbol is Absolute) &&
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| 301 | !(n.Symbol is AnalyticQuotient)
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[16330] | 302 | select n).Any();
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| 303 | return !containsUnknownSyumbol;
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| 304 | }
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[16303] | 305 | }
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| 306 | }
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