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sonar fixes
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// CORR: Correlation Coefficient
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/// A statistical measure that quantifies the strength and direction of the relationship
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/// between two variables. The correlation coefficient ranges from -1 to 1, where 1 indicates
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/// a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates
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/// no correlation.
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/// </summary>
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/// <remarks>
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/// The Correlation calculation process:
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/// 1. Calculates mean of both variables
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/// 2. Computes covariance between variables
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/// 3. Calculates standard deviation of both variables
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/// 4. Divides covariance by product of standard deviations
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///
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/// Key characteristics:
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/// - Measures linear relationship strength
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/// - Symmetric around zero
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/// - Scale-independent measure
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/// - Sensitive to outliers
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/// - Useful for portfolio diversification
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///
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/// Formula:
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/// ρ = Cov(X, Y) / (σX * σY)
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/// where:
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/// X, Y = variables
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/// Cov = covariance
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/// σ = standard deviation
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///
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/// Market Applications:
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/// - Portfolio diversification
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/// - Risk management
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/// - Pairs trading
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/// - Performance analysis
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/// - Market sentiment analysis
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///
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/// Sources:
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/// https://en.wikipedia.org/wiki/Correlation_coefficient
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/// "Modern Portfolio Theory" - Harry Markowitz
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///
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/// Note: Assumes linear relationship between variables
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Corr : AbstractBase
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{
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private readonly int Period;
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private readonly CircularBuffer _xValues;
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private readonly CircularBuffer _yValues;
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private const double Epsilon = 1e-10;
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private const int MinimumPoints = 2;
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/// <param name="period">The number of points to consider for correlation calculation.</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 2.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Corr(int period)
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{
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if (period < MinimumPoints)
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{
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throw new ArgumentOutOfRangeException(nameof(period),
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"Period must be greater than or equal to 2 for correlation calculation.");
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}
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Period = period;
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WarmupPeriod = MinimumPoints;
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_xValues = new CircularBuffer(period);
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_yValues = new CircularBuffer(period);
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Name = $"Corr(period={period})";
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Init();
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}
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="period">The number of points to consider for correlation calculation.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Corr(object source, int period) : this(period)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public override void Init()
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{
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base.Init();
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_xValues.Clear();
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_yValues.Clear();
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_lastValidValue = Input.Value;
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_index++;
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}
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static double CalculateMean(ReadOnlySpan<double> values)
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{
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double sum = 0;
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for (int i = 0; i < values.Length; i++)
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{
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sum += values[i];
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}
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return sum / values.Length;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static double CalculateCovariance(ReadOnlySpan<double> xValues, ReadOnlySpan<double> yValues, double xMean, double yMean)
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{
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double covariance = 0;
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for (int i = 0; i < xValues.Length; i++)
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{
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covariance += (xValues[i] - xMean) * (yValues[i] - yMean);
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}
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return covariance / xValues.Length;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static double CalculateStandardDeviation(ReadOnlySpan<double> values, double mean)
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{
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double sumSquaredDeviations = 0;
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for (int i = 0; i < values.Length; i++)
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{
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double deviation = values[i] - mean;
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sumSquaredDeviations += deviation * deviation;
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}
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return Math.Sqrt(sumSquaredDeviations / values.Length);
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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_xValues.Add(Input.Value, Input.IsNew);
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_yValues.Add(Input2.Value, Input.IsNew);
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double correlation = 0;
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if (_xValues.Count >= MinimumPoints && _yValues.Count >= MinimumPoints)
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{
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ReadOnlySpan<double> xValues = _xValues.GetSpan();
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ReadOnlySpan<double> yValues = _yValues.GetSpan();
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double xMean = CalculateMean(xValues);
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double yMean = CalculateMean(yValues);
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double covariance = CalculateCovariance(xValues, yValues, xMean, yMean);
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double xStdDev = CalculateStandardDeviation(xValues, xMean);
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double yStdDev = CalculateStandardDeviation(yValues, yMean);
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if (xStdDev > Epsilon && yStdDev > Epsilon)
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{
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correlation = covariance / (xStdDev * yStdDev);
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}
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}
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IsHot = _xValues.Count >= Period && _yValues.Count >= Period;
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return correlation;
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}
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}
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