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Add Stochastic Oscillator implementation and validation tests
- Implemented Stochastic Oscillator (%K and %D) in Stoch.cs with streaming and batch processing capabilities. - Added validation tests for the Stochastic Oscillator in Stoch.Validation.Tests.cs, ensuring consistency with Skender.Stock.Indicators. - Created documentation for the Stochastic Oscillator in Stoch.md, detailing its mathematical formula, architecture, parameters, and common pitfalls. - Updated project file to include necessary numeric libraries for highest and lowest calculations.
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using System.Runtime.CompilerServices;
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using System.Runtime.InteropServices;
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namespace QuanTAlib;
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/// <summary>
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/// CFO: Chande Forecast Oscillator
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/// </summary>
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/// <remarks>
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/// Measures the percentage difference between the current price and the
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/// Time Series Forecast (linear regression endpoint):
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/// <c>CFO = 100 × (source − TSF) / source</c>
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///
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/// Uses O(1) incremental sumY / sumXY maintenance from the PineScript reference.
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/// When source equals zero, returns NaN to avoid division by zero.
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///
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/// References:
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/// Tushar Chande, "The New Technical Trader", 1994
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/// PineScript reference: cfo.pine
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Cfo : AbstractBase
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{
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private readonly int _period;
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private readonly RingBuffer _buffer;
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// Precomputed linear regression constants (full window)
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private readonly double _sumX; // 0 + 1 + ... + (period-1)
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private readonly double _denomX; // period * sumX2 - sumX²
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[StructLayout(LayoutKind.Auto)]
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private record struct State(
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double SumY,
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double SumXY,
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int Count,
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double LastValid);
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private State _state;
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private State _p_state;
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private const int ResyncInterval = 1000;
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private int _tickCount;
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/// <summary>
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/// Creates CFO with specified period.
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/// </summary>
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/// <param name="period">Lookback period for linear regression (must be > 0)</param>
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public Cfo(int period = 14)
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{
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if (period <= 0)
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{
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throw new ArgumentException("Period must be greater than 0", nameof(period));
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}
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_period = period;
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_buffer = new RingBuffer(period);
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Name = $"Cfo({period})";
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WarmupPeriod = period;
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_sumX = period * (period - 1) / 2.0;
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double sumX2 = period * (period - 1.0) * (2.0 * period - 1.0) / 6.0;
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_denomX = period * sumX2 - _sumX * _sumX;
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}
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/// <summary>
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/// Creates CFO with specified source and period.
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/// </summary>
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public Cfo(ITValuePublisher source, int period = 14) : this(period)
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{
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source.Pub += Handle;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private void Handle(object? sender, in TValueEventArgs e) => Update(e.Value, e.IsNew);
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/// <summary>
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/// True if the indicator has enough data for valid results.
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/// </summary>
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public override bool IsHot => _buffer.IsFull;
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/// <summary>
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/// Period of the indicator.
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/// </summary>
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public int Period => _period;
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/// <inheritdoc/>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public override TValue Update(TValue input, bool isNew = true)
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{
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double value = input.Value;
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// Sanitize input
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if (!double.IsFinite(value))
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{
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value = double.IsFinite(_state.LastValid) ? _state.LastValid : 0.0;
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}
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else
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{
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_state.LastValid = value;
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}
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if (isNew)
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{
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_p_state = _state;
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// O(1) incremental sumXY maintenance (PineScript algorithm)
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if (_buffer.Count == _buffer.Capacity)
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{
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double oldest = _buffer.Oldest;
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_state.SumY -= oldest;
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_state.SumXY -= _state.SumY;
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_state.SumXY += (_period - 1) * value;
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}
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else
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{
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_state.SumXY += _state.Count * value;
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_state.Count++;
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}
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_state.SumY += value;
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_buffer.Add(value);
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_tickCount++;
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if (_buffer.IsFull && _tickCount >= ResyncInterval)
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{
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_tickCount = 0;
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RecalculateSums();
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}
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}
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else
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{
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_state = _p_state;
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_buffer.UpdateNewest(value);
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RecalculateSums();
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}
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if (!_buffer.IsFull)
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{
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Last = new TValue(input.Time, 0.0);
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PubEvent(Last, isNew);
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return Last;
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}
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// Linear regression: slope, intercept, TSF
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double slope = (_period * _state.SumXY - _sumX * _state.SumY) / _denomX;
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double intercept = (_state.SumY - slope * _sumX) / _period;
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double tsf = Math.FusedMultiplyAdd(slope, _period - 1, intercept);
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// CFO = 100 * (source - tsf) / source
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double cfo = value == 0.0 ? double.NaN : 100.0 * (value - tsf) / value;
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Last = new TValue(input.Time, cfo);
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PubEvent(Last, isNew);
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return Last;
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}
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/// <inheritdoc/>
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public override TSeries Update(TSeries source)
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{
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int len = source.Count;
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var t = new List<long>(len);
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var v = new List<double>(len);
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CollectionsMarshal.SetCount(t, len);
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CollectionsMarshal.SetCount(v, len);
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var tSpan = CollectionsMarshal.AsSpan(t);
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var vSpan = CollectionsMarshal.AsSpan(v);
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Batch(source.Values, vSpan, _period);
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source.Times.CopyTo(tSpan);
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// Update internal state to match final position
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for (int i = 0; i < len; i++)
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{
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Update(new TValue(source.Times[i], source.Values[i]), isNew: true);
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}
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return new TSeries(t, v);
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private void RecalculateSums()
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{
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_state.SumY = 0.0;
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_state.SumXY = 0.0;
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_state.Count = _buffer.Count;
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for (int i = 0; i < _buffer.Count; i++)
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{
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double v = _buffer[i];
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_state.SumY += v;
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_state.SumXY += i * v;
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}
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}
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/// <inheritdoc/>
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public override void Prime(ReadOnlySpan<double> source, TimeSpan? step = null)
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{
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for (int i = 0; i < source.Length; i++)
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{
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Update(new TValue(DateTime.UtcNow, source[i]), isNew: true);
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}
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}
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/// <inheritdoc/>
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public override void Reset()
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{
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_buffer.Clear();
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_state = default;
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_p_state = default;
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_tickCount = 0;
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Last = default;
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}
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/// <summary>
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/// Calculates CFO for entire series.
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/// </summary>
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public static TSeries Batch(TSeries source, int period = 14)
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{
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int len = source.Count;
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var t = new List<long>(len);
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var v = new List<double>(len);
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CollectionsMarshal.SetCount(t, len);
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CollectionsMarshal.SetCount(v, len);
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var tSpan = CollectionsMarshal.AsSpan(t);
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var vSpan = CollectionsMarshal.AsSpan(v);
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Batch(source.Values, vSpan, period);
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source.Times.CopyTo(tSpan);
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return new TSeries(t, v);
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}
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/// <summary>
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/// Batch CFO calculation with O(1) incremental linear regression.
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/// </summary>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public static void Batch(ReadOnlySpan<double> source, Span<double> output, int period = 14)
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{
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if (source.Length != output.Length)
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{
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throw new ArgumentException("Source and output must have the same length", nameof(output));
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}
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if (period <= 0)
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{
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throw new ArgumentException("Period must be greater than 0", nameof(period));
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}
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int len = source.Length;
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if (len == 0)
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{
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return;
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}
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double sumX = period * (period - 1) / 2.0;
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double sumX2 = period * (period - 1.0) * (2.0 * period - 1.0) / 6.0;
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double denomX = period * sumX2 - sumX * sumX;
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double sumY = 0.0;
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double sumXY = 0.0;
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int count = 0;
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double lastValid = 0.0;
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var valueBuffer = new RingBuffer(period);
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for (int i = 0; i < len; i++)
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{
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double val = source[i];
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if (!double.IsFinite(val))
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{
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val = lastValid;
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}
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else
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{
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lastValid = val;
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}
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// O(1) incremental sumXY maintenance
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if (valueBuffer.Count == valueBuffer.Capacity)
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{
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double oldest = valueBuffer.Oldest;
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sumY -= oldest;
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sumXY -= sumY;
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sumXY += (period - 1) * val;
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}
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else
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{
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sumXY += count * val;
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count++;
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}
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sumY += val;
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valueBuffer.Add(val);
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if (count < period)
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{
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output[i] = 0.0;
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continue;
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}
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double slope = (period * sumXY - sumX * sumY) / denomX;
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double intercept = (sumY - slope * sumX) / period;
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double tsf = Math.FusedMultiplyAdd(slope, period - 1, intercept);
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output[i] = val == 0.0 ? double.NaN : 100.0 * (val - tsf) / val;
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}
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}
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public static (TSeries Results, Cfo Indicator) Calculate(TSeries source, int period = 14)
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{
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var indicator = new Cfo(period);
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TSeries results = indicator.Update(source);
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return (results, indicator);
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}
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}
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