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| 1 | +namespace Skender.Stock.Indicators; |
| 2 | + |
| 3 | +// STANDARD DEVIATION (STREAM HUB) |
| 4 | + |
| 5 | +/// <summary> |
| 6 | +/// Represents a Standard Deviation stream hub. |
| 7 | +/// </summary> |
| 8 | +public class StdDevHub |
| 9 | + : ChainProvider<IReusable, StdDevResult>, IStdDev |
| 10 | +{ |
| 11 | + #region fields |
| 12 | + |
| 13 | + private readonly string hubName; |
| 14 | + |
| 15 | + #endregion fields |
| 16 | + |
| 17 | + #region constructors |
| 18 | + |
| 19 | + /// <summary> |
| 20 | + /// Initializes a new instance of the <see cref="StdDevHub"/> class. |
| 21 | + /// </summary> |
| 22 | + /// <param name="provider">The chain provider.</param> |
| 23 | + /// <param name="lookbackPeriods">Quantity of periods in lookback window.</param> |
| 24 | + internal StdDevHub( |
| 25 | + IChainProvider<IReusable> provider, |
| 26 | + int lookbackPeriods) : base(provider) |
| 27 | + { |
| 28 | + StdDev.Validate(lookbackPeriods); |
| 29 | + LookbackPeriods = lookbackPeriods; |
| 30 | + hubName = $"STDDEV({lookbackPeriods})"; |
| 31 | + |
| 32 | + Reinitialize(); |
| 33 | + } |
| 34 | + |
| 35 | + #endregion constructors |
| 36 | + |
| 37 | + #region properties |
| 38 | + |
| 39 | + /// <summary> |
| 40 | + /// Gets the number of lookback periods. |
| 41 | + /// </summary> |
| 42 | + public int LookbackPeriods { get; init; } |
| 43 | + |
| 44 | + #endregion properties |
| 45 | + |
| 46 | + #region methods |
| 47 | + |
| 48 | + /// <inheritdoc/> |
| 49 | + public override string ToString() => hubName; |
| 50 | + |
| 51 | + /// <inheritdoc/> |
| 52 | + protected override (StdDevResult result, int index) |
| 53 | + ToIndicator(IReusable item, int? indexHint) |
| 54 | + { |
| 55 | + ArgumentNullException.ThrowIfNull(item); |
| 56 | + |
| 57 | + int i = indexHint ?? ProviderCache.IndexOf(item, true); |
| 58 | + |
| 59 | + // Calculate StdDev using two-pass algorithm over ProviderCache |
| 60 | + // This is O(lookbackPeriods) complexity (linear in lookback period) |
| 61 | + // Two-pass method is necessary for numerical stability and exact Series precision |
| 62 | + double? stdDev = null; |
| 63 | + double? mean = null; |
| 64 | + double? zScore = null; |
| 65 | + |
| 66 | + if (i >= LookbackPeriods - 1) |
| 67 | + { |
| 68 | + double sum = 0; |
| 69 | + bool hasNaN = false; |
| 70 | + |
| 71 | + // Calculate sum first and check for NaN values |
| 72 | + for (int p = i - LookbackPeriods + 1; p <= i; p++) |
| 73 | + { |
| 74 | + double value = ProviderCache[p].Value; |
| 75 | + if (double.IsNaN(value)) |
| 76 | + { |
| 77 | + hasNaN = true; |
| 78 | + break; |
| 79 | + } |
| 80 | + |
| 81 | + sum += value; |
| 82 | + } |
| 83 | + |
| 84 | + if (!hasNaN) |
| 85 | + { |
| 86 | + // Calculate mean |
| 87 | + mean = sum / LookbackPeriods; |
| 88 | + |
| 89 | + // Calculate sum of squared deviations (numerically stable method) |
| 90 | + double sumSqDev = 0; |
| 91 | + for (int p = i - LookbackPeriods + 1; p <= i; p++) |
| 92 | + { |
| 93 | + double value = ProviderCache[p].Value; |
| 94 | + double deviation = value - mean.Value; |
| 95 | + sumSqDev += deviation * deviation; |
| 96 | + } |
| 97 | + |
| 98 | + // Calculate standard deviation |
| 99 | + stdDev = Math.Sqrt(sumSqDev / LookbackPeriods); |
| 100 | + |
| 101 | + // Calculate z-score |
| 102 | + zScore = stdDev == 0 ? double.NaN : (item.Value - mean.Value) / stdDev.Value; |
| 103 | + } |
| 104 | + } |
| 105 | + |
| 106 | + // candidate result |
| 107 | + StdDevResult r = new( |
| 108 | + Timestamp: item.Timestamp, |
| 109 | + StdDev: stdDev, |
| 110 | + Mean: mean, |
| 111 | + ZScore: zScore.NaN2Null()); |
| 112 | + |
| 113 | + return (r, i); |
| 114 | + } |
| 115 | + |
| 116 | + #endregion methods |
| 117 | +} |
| 118 | + |
| 119 | +/// <summary> |
| 120 | +/// Provides methods for creating StdDev hubs. |
| 121 | +/// </summary> |
| 122 | +public static partial class StdDev |
| 123 | +{ |
| 124 | + /// <summary> |
| 125 | + /// Converts the chain provider to a StdDev hub. |
| 126 | + /// </summary> |
| 127 | + /// <param name="chainProvider">The chain provider.</param> |
| 128 | + /// <param name="lookbackPeriods">Quantity of periods in lookback window.</param> |
| 129 | + /// <returns>A StdDev hub.</returns> |
| 130 | + /// <exception cref="ArgumentNullException">Thrown when the chain provider is null.</exception> |
| 131 | + /// <exception cref="ArgumentOutOfRangeException">Thrown when the lookback periods are invalid.</exception> |
| 132 | + public static StdDevHub ToStdDevHub( |
| 133 | + this IChainProvider<IReusable> chainProvider, |
| 134 | + int lookbackPeriods = 14) |
| 135 | + => new(chainProvider, lookbackPeriods); |
| 136 | + |
| 137 | + /// <summary> |
| 138 | + /// Creates a StdDev hub from a collection of quotes. |
| 139 | + /// </summary> |
| 140 | + /// <param name="quotes">Aggregate OHLCV quote bars, time sorted.</param> |
| 141 | + /// <param name="lookbackPeriods">Quantity of periods in lookback window.</param> |
| 142 | + /// <returns>An instance of <see cref="StdDevHub"/>.</returns> |
| 143 | + public static StdDevHub ToStdDevHub( |
| 144 | + this IReadOnlyList<IQuote> quotes, |
| 145 | + int lookbackPeriods = 14) |
| 146 | + { |
| 147 | + QuoteHub quoteHub = new(); |
| 148 | + quoteHub.Add(quotes); |
| 149 | + return quoteHub.ToStdDevHub(lookbackPeriods); |
| 150 | + } |
| 151 | +} |
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