using System; using System.Collections.Generic; using System.Runtime.CompilerServices; using System.Runtime.InteropServices; namespace QuanTAlib; /// /// MGDI: McGinley Dynamic Indicator /// A moving average that adjusts for shifts in market speed, designed to track the market better than existing indicators. /// It looks like a moving average line, yet it is a smoothing mechanism for prices that turns out to track far better than any moving average. /// It minimizes price separation and price hugs to avoid whipsaws. /// /// /// Sources: /// https://www.investopedia.com/terms/m/mcginley-dynamic.asp /// https://dotnet.stockindicators.dev/indicators/Dynamic/ /// Formula: MGDI = MGDI[1] + (Price - MGDI[1]) / (k * N * (Price/MGDI[1])^4) /// Default k = 0.6 /// [SkipLocalsInit] public sealed class Mgdi : AbstractBase { private readonly int _period; private readonly double _k; private readonly TValuePublishedHandler _handler; [StructLayout(LayoutKind.Auto)] private record struct State(double LastMgdi, double LastValidValue, int Count, bool HasValidValue); private State _state; private State _p_state; public override bool IsHot => _state.Count >= _period; public Mgdi(int period = 14, double k = 0.6) { ArgumentOutOfRangeException.ThrowIfLessThan(period, 1); if (double.IsNaN(k) || double.IsInfinity(k) || k <= 0) throw new ArgumentOutOfRangeException(nameof(k), "k must be a finite value greater than 0"); _period = period; _k = k; Name = $"Mgdi({period},{k})"; WarmupPeriod = period; _handler = Handle; Init(); } public Mgdi(ITValuePublisher source, int period = 14, double k = 0.6) : this(period, k) { source.Pub += _handler; } private void Handle(object? sender, TValueEventArgs e) => Update(e.Value, e.IsNew); private void Init() { _state = default; _p_state = default; Last = default; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override TValue Update(TValue input, bool isNew = true) { if (isNew) { _p_state = _state; _state.Count++; } else { _state = _p_state; } double price = input.Value; if (!double.IsFinite(price)) { if (_state.HasValidValue) { price = _state.LastValidValue; } else { Last = new TValue(input.Time, double.NaN); PubEvent(Last); return Last; } } else { _state.LastValidValue = price; _state.HasValidValue = true; } if (!_p_state.HasValidValue) { _state.LastMgdi = price; } else { double prev = _state.LastMgdi; if (Math.Abs(prev) > double.Epsilon) { double ratio = price / prev; ratio = Math.Clamp(ratio, 0.3, 3.0); double ratio4 = ratio * ratio; ratio4 *= ratio4; double denominator = _k * _period * ratio4; _state.LastMgdi = (Math.Abs(denominator) < 1e-9) ? price : prev + (price - prev) / denominator; } else { _state.LastMgdi = price; } } Last = new TValue(input.Time, _state.LastMgdi); PubEvent(Last, isNew); return Last; } public override TSeries Update(TSeries source) { if (source.Count == 0) return new TSeries([], []); int len = source.Count; var t = new List(len); var v = new List(len); CollectionsMarshal.SetCount(t, len); CollectionsMarshal.SetCount(v, len); var tSpan = CollectionsMarshal.AsSpan(t); var vSpan = CollectionsMarshal.AsSpan(v); Calculate(source.Values, vSpan, _period, _k); source.Times.CopyTo(tSpan); // Restore state Init(); // Replay the whole series to restore state correctly as it is recursive for (int i = 0; i < len; i++) { Update(new TValue(source.Times[i], source.Values[i])); } Last = new TValue(tSpan[len - 1], vSpan[len - 1]); return new TSeries(t, v); } public override void Prime(ReadOnlySpan source) { foreach (var value in source) { Update(new TValue(DateTime.MinValue, value)); } } public static TSeries Batch(TSeries source, int period = 14, double k = 0.6) { var mgdi = new Mgdi(period, k); return mgdi.Update(source); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Calculate(ReadOnlySpan source, Span output, int period = 14, double k = 0.6) { ArgumentOutOfRangeException.ThrowIfLessThan(period, 1); if (double.IsNaN(k) || double.IsInfinity(k) || k <= 0) throw new ArgumentOutOfRangeException(nameof(k), "k must be a finite value greater than 0"); if (source.Length != output.Length) throw new ArgumentException("Source and output must have the same length", nameof(output)); if (source.Length == 0) return; double lastMgdi = 0; double lastValid = 0; bool initialized = false; for (int i = 0; i < source.Length; i++) { double price = source[i]; if (!double.IsFinite(price)) { if (!initialized) { output[i] = double.NaN; continue; } price = lastValid; } else { lastValid = price; if (!initialized) { initialized = true; lastMgdi = price; output[i] = lastMgdi; continue; } } if (Math.Abs(lastMgdi) > double.Epsilon) { double ratio = price / lastMgdi; ratio = Math.Clamp(ratio, 0.3, 3.0); double ratio4 = ratio * ratio; ratio4 *= ratio4; double denominator = k * period * ratio4; lastMgdi = (Math.Abs(denominator) < 1e-9) ? price : lastMgdi + (price - lastMgdi) / denominator; } else { lastMgdi = price; } output[i] = lastMgdi; } } public override void Reset() { Init(); } }