source: stable/HeuristicLab.Problems.DataAnalysis/3.4/OnlineCalculators/OnlineTheilsUStatisticCalculator.cs

#region License Information
/* HeuristicLab
 * Copyright (C) Heuristic and Evolutionary Algorithms Laboratory (HEAL)
 *
 * This file is part of HeuristicLab.
 *
 * HeuristicLab is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * HeuristicLab is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
 */
#endregion

using System;
using System.Collections.Generic;
using HeuristicLab.Common;

namespace HeuristicLab.Problems.DataAnalysis {
  public class OnlineTheilsUStatisticCalculator : DeepCloneable, IOnlineTimeSeriesCalculator {
    private readonly OnlineMeanAndVarianceCalculator squaredErrorMeanCalculator;
    private readonly OnlineMeanAndVarianceCalculator unbiasedEstimatorMeanCalculator;

    public double TheilsUStatistic {
      get {
        return Math.Sqrt(squaredErrorMeanCalculator.Mean) / Math.Sqrt(unbiasedEstimatorMeanCalculator.Mean);
      }
    }

    private OnlineCalculatorError errorState;
    public OnlineCalculatorError ErrorState {
      get { return errorState | squaredErrorMeanCalculator.MeanErrorState | unbiasedEstimatorMeanCalculator.MeanErrorState; }
    }

    public OnlineTheilsUStatisticCalculator() {
      squaredErrorMeanCalculator = new OnlineMeanAndVarianceCalculator();
      unbiasedEstimatorMeanCalculator = new OnlineMeanAndVarianceCalculator();
      Reset();
    }

    protected OnlineTheilsUStatisticCalculator(OnlineTheilsUStatisticCalculator original, Cloner cloner)
      : base(original, cloner) {
      squaredErrorMeanCalculator = cloner.Clone(original.squaredErrorMeanCalculator);
      unbiasedEstimatorMeanCalculator = cloner.Clone(original.unbiasedEstimatorMeanCalculator);
    }
    public override IDeepCloneable Clone(Cloner cloner) {
      return new OnlineTheilsUStatisticCalculator(this, cloner);
    }

    #region IOnlineEvaluator Members
    public double Value {
      get { return TheilsUStatistic; }
    }

    public void Add(double startValue, IEnumerable<double> actualContinuation, IEnumerable<double> predictedContinuation) {
      throw new NotSupportedException();
    }

    public void Add(double startValue, IEnumerable<double> actualContinuation, IEnumerable<double> referenceContinuation, IEnumerable<double> predictedContinuation) {
      if (double.IsNaN(startValue) || (errorState & OnlineCalculatorError.InvalidValueAdded) > 0) {
        errorState = errorState | OnlineCalculatorError.InvalidValueAdded;
      } else {
        var actualEnumerator = actualContinuation.GetEnumerator();
        var predictedEnumerator = predictedContinuation.GetEnumerator();
        var referenceEnumerator = referenceContinuation.GetEnumerator();
        while (actualEnumerator.MoveNext() & predictedEnumerator.MoveNext() & referenceEnumerator.MoveNext()
          & ErrorState != OnlineCalculatorError.InvalidValueAdded) {
          double actual = actualEnumerator.Current;
          double predicted = predictedEnumerator.Current;
          double reference = referenceEnumerator.Current;
          if (double.IsNaN(actual) || double.IsNaN(predicted) || double.IsNaN(reference)) {
            errorState = errorState | OnlineCalculatorError.InvalidValueAdded;
          } else {
            // error of predicted change
            double errorPredictedChange = (predicted - startValue) - (actual - startValue);
            squaredErrorMeanCalculator.Add(errorPredictedChange * errorPredictedChange);

            double errorReference = (reference - startValue) - (actual - startValue);
            unbiasedEstimatorMeanCalculator.Add(errorReference * errorReference);
          }
        }
        // check if both enumerators are at the end to make sure both enumerations have the same length
        if (actualEnumerator.MoveNext() || predictedEnumerator.MoveNext() || referenceEnumerator.MoveNext()) {
          errorState = errorState | OnlineCalculatorError.InvalidValueAdded;
        } else {
          errorState = errorState & (~OnlineCalculatorError.InsufficientElementsAdded); // n >= 1
        }
      }
    }


    public void Reset() {
      squaredErrorMeanCalculator.Reset();
      unbiasedEstimatorMeanCalculator.Reset();
      errorState = OnlineCalculatorError.InsufficientElementsAdded;
    }

    #endregion

    public static double Calculate(double startValue, IEnumerable<double> actualContinuation, IEnumerable<double> referenceContinuation, IEnumerable<double> predictedContinuation, out OnlineCalculatorError errorState) {
      OnlineTheilsUStatisticCalculator calculator = new OnlineTheilsUStatisticCalculator();
      calculator.Add(startValue, actualContinuation, referenceContinuation, predictedContinuation);
      errorState = calculator.ErrorState;
      return calculator.TheilsUStatistic;
    }

    public static double Calculate(IEnumerable<double> startValues, IEnumerable<IEnumerable<double>> actualContinuations, IEnumerable<IEnumerable<double>> referenceContinuations, IEnumerable<IEnumerable<double>> predictedContinuations, out OnlineCalculatorError errorState) {
      IEnumerator<double> startValueEnumerator = startValues.GetEnumerator();
      IEnumerator<IEnumerable<double>> actualContinuationsEnumerator = actualContinuations.GetEnumerator();
      IEnumerator<IEnumerable<double>> referenceContinuationsEnumerator = referenceContinuations.GetEnumerator();
      IEnumerator<IEnumerable<double>> predictedContinuationsEnumerator = predictedContinuations.GetEnumerator();

      OnlineTheilsUStatisticCalculator calculator = new OnlineTheilsUStatisticCalculator();

      // always move forward all enumerators (do not use short-circuit evaluation!)
      while (startValueEnumerator.MoveNext() & actualContinuationsEnumerator.MoveNext() & referenceContinuationsEnumerator.MoveNext() & predictedContinuationsEnumerator.MoveNext()) {
        calculator.Add(startValueEnumerator.Current, actualContinuationsEnumerator.Current, referenceContinuationsEnumerator.Current, predictedContinuationsEnumerator.Current);
        if (calculator.ErrorState != OnlineCalculatorError.None) break;
      }

      // check if all enumerators are at the end to make sure both enumerations have the same length
      if (calculator.ErrorState == OnlineCalculatorError.None &&
          (startValueEnumerator.MoveNext() || actualContinuationsEnumerator.MoveNext() || referenceContinuationsEnumerator.MoveNext() || predictedContinuationsEnumerator.MoveNext())) {
        throw new ArgumentException("Number of elements in startValues, actualContinuations, referenceContinuation and estimatedValues predictedContinuations doesn't match.");
      } else {
        errorState = calculator.ErrorState;
        return calculator.TheilsUStatistic;
      }
    }
  }
}