using System.Runtime.CompilerServices; using System.Runtime.InteropServices; namespace QuanTAlib; /// /// MdAE: Median Absolute Error /// /// /// MdAE is the median of absolute errors between actual and predicted values. /// Unlike MAE which uses the mean, MdAE is robust to outliers. /// /// Formula: /// MdAE = Median(|actual - predicted|) /// /// Key properties: /// - Robust to outliers (50% breakdown point) /// - Same units as the original data /// - Less sensitive to extreme errors than MAE /// - MdAE = 0 indicates at least half the predictions are perfect /// [SkipLocalsInit] public sealed class Mdae : AbstractBase { private readonly RingBuffer _buffer; private readonly double[] _sortBuffer; [StructLayout(LayoutKind.Auto)] private record struct State(double LastValidActual, double LastValidPredicted, int TickCount); private State _state; private State _p_state; public Mdae(int period) { if (period <= 0) throw new ArgumentException("Period must be greater than 0", nameof(period)); _buffer = new RingBuffer(period); _sortBuffer = new double[period]; Name = $"Mdae({period})"; WarmupPeriod = period; } public override bool IsHot => _buffer.IsFull; [MethodImpl(MethodImplOptions.AggressiveInlining)] public TValue Update(TValue actual, TValue predicted, bool isNew = true) { double actualVal = actual.Value; double predictedVal = predicted.Value; if (!double.IsFinite(actualVal)) actualVal = double.IsFinite(_state.LastValidActual) ? _state.LastValidActual : 0.0; else _state.LastValidActual = actualVal; if (!double.IsFinite(predictedVal)) predictedVal = double.IsFinite(_state.LastValidPredicted) ? _state.LastValidPredicted : 0.0; else _state.LastValidPredicted = predictedVal; double absError = Math.Abs(actualVal - predictedVal); if (isNew) { _p_state = _state; _buffer.Add(absError); _state.TickCount++; } else { _state = _p_state; _buffer.UpdateNewest(absError); } // Calculate median double result = CalculateMedian(); Last = new TValue(actual.Time, result); PubEvent(Last, isNew); return Last; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public TValue Update(double actual, double predicted, bool isNew = true) { return Update(new TValue(DateTime.UtcNow, actual), new TValue(DateTime.UtcNow, predicted), isNew); } public override TValue Update(TValue input, bool isNew = true) { throw new NotSupportedException("MdAE requires two inputs. Use Update(actual, predicted)."); } public override TSeries Update(TSeries source) { throw new NotSupportedException("MdAE requires two inputs. Use Calculate(actualSeries, predictedSeries, period)."); } public override void Prime(ReadOnlySpan source, TimeSpan? step = null) { throw new NotSupportedException("MdAE requires two inputs."); } public override void Reset() { _buffer.Clear(); _state = default; _p_state = default; Last = default; } [MethodImpl(MethodImplOptions.AggressiveInlining)] private double CalculateMedian() { int count = _buffer.Count; if (count == 0) return 0.0; // Copy to sort buffer for (int i = 0; i < count; i++) { _sortBuffer[i] = _buffer[i]; } // Sort the portion we're using Array.Sort(_sortBuffer, 0, count); // Return median if (count % 2 == 1) { return _sortBuffer[count / 2]; } else { return (_sortBuffer[count / 2 - 1] + _sortBuffer[count / 2]) * 0.5; } } public static TSeries Calculate(TSeries actual, TSeries predicted, int period) { if (actual.Count != predicted.Count) throw new ArgumentException("Actual and predicted series must have the same length", nameof(predicted)); int len = actual.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); Batch(actual.Values, predicted.Values, vSpan, period); actual.Times.CopyTo(tSpan); return new TSeries(t, v); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Batch(ReadOnlySpan actual, ReadOnlySpan predicted, Span output, int period) { if (actual.Length != predicted.Length || actual.Length != output.Length) throw new ArgumentException("All spans must have the same length", nameof(output)); if (period <= 0) throw new ArgumentException("Period must be greater than 0", nameof(period)); int len = actual.Length; if (len == 0) return; // Use heap allocation for batch - we need sorting per element double[] buffer = new double[period]; double[] sortBuffer = new double[period]; double lastValidActual = 0; double lastValidPredicted = 0; for (int k = 0; k < len; k++) { if (double.IsFinite(actual[k])) { lastValidActual = actual[k]; break; } } for (int k = 0; k < len; k++) { if (double.IsFinite(predicted[k])) { lastValidPredicted = predicted[k]; break; } } int bufferIndex = 0; int bufferCount = 0; for (int i = 0; i < len; i++) { double act = actual[i]; double pred = predicted[i]; if (double.IsFinite(act)) lastValidActual = act; else act = lastValidActual; if (double.IsFinite(pred)) lastValidPredicted = pred; else pred = lastValidPredicted; double absError = Math.Abs(act - pred); // Add to circular buffer buffer[bufferIndex] = absError; bufferIndex++; if (bufferIndex >= period) bufferIndex = 0; if (bufferCount < period) bufferCount++; // Copy and sort for median for (int j = 0; j < bufferCount; j++) { sortBuffer[j] = buffer[j]; } Array.Sort(sortBuffer, 0, bufferCount); // Calculate median if (bufferCount % 2 == 1) { output[i] = sortBuffer[bufferCount / 2]; } else { output[i] = (sortBuffer[bufferCount / 2 - 1] + sortBuffer[bufferCount / 2]) * 0.5; } } } }