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more volatilty
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// True Range (TR) Indicator
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// Measures the maximum price movement including gaps from the previous close
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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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/// TR: True Range
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/// A volatility measure that captures the maximum price movement including gaps.
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/// True Range accounts for overnight gaps by comparing current High-Low range
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/// against the previous close.
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/// </summary>
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/// <remarks>
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/// <b>Calculation steps:</b>
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/// <list type="number">
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/// <item>Calculate three ranges: (High - Low), |High - prevClose|, |Low - prevClose|</item>
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/// <item>True Range = max(all three ranges)</item>
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/// </list>
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///
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/// <b>Key characteristics:</b>
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/// <list type="bullet">
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/// <item>Bar-by-bar calculation (no smoothing)</item>
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/// <item>Always positive (absolute values used for gap calculations)</item>
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/// <item>First bar uses High - Low (no previous close available)</item>
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/// <item>Foundation for ATR (Average True Range)</item>
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/// </list>
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///
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/// <b>Sources:</b>
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/// J. Welles Wilder Jr. (1978). "New Concepts in Technical Trading Systems"
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Tr : AbstractBase
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{
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[StructLayout(LayoutKind.Auto)]
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private record struct State(
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double PrevClose,
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double LastValidHigh,
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double LastValidLow,
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double LastValidClose,
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double LastTr,
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int Count
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);
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private State _s;
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private State _ps;
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/// <summary>
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/// Initializes a new instance of the Tr class.
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/// </summary>
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public Tr()
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{
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WarmupPeriod = 1;
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Name = "Tr";
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_s = new State(double.NaN, 0, 0, 0, 0, 0);
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_ps = _s;
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}
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/// <summary>
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/// Initializes a new instance of the Tr class with a source.
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/// </summary>
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/// <param name="source">The data source for chaining.</param>
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public Tr(ITValuePublisher source) : this()
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{
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source.Pub += Handle;
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}
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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 => _s.Count >= WarmupPeriod;
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/// <summary>
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/// Computes the True Range for given bar values.
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/// </summary>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private static double ComputeTrueRange(double high, double low, double prevClose)
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{
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double tr1 = high - low;
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double tr2 = Math.Abs(high - prevClose);
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double tr3 = Math.Abs(low - prevClose);
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return Math.Max(tr1, Math.Max(tr2, tr3));
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}
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/// <summary>
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/// Updates the indicator with a TValue input.
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/// For TR, this treats the value as a close price (uses value for H, L, and C).
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/// Prefer Update(TBar) for standard OHLC data.
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/// </summary>
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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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// For TValue input, treat it as if H=L=C (no range)
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return UpdateCore(input.Time, input.Value, input.Value, input.Value, isNew);
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}
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/// <summary>
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/// Updates the indicator with a new bar (preferred method).
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/// </summary>
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/// <param name="bar">The input bar.</param>
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/// <param name="isNew">Whether this is a new bar or an update.</param>
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/// <returns>The calculated True Range value.</returns>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public TValue Update(TBar bar, bool isNew = true)
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{
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return UpdateCore(bar.Time, bar.High, bar.Low, bar.Close, isNew);
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}
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/// <summary>
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/// Updates the indicator with a bar series.
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/// </summary>
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/// <param name="source">The source bar series.</param>
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/// <returns>A TSeries containing the True Range values.</returns>
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public TSeries Update(TBarSeries source)
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{
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if (source.Count == 0)
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{
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return [];
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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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// Extract OHLC data
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Span<double> highs = len <= 128 ? stackalloc double[len] : new double[len];
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Span<double> lows = len <= 128 ? stackalloc double[len] : new double[len];
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Span<double> closes = len <= 128 ? stackalloc double[len] : new double[len];
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for (int i = 0; i < len; i++)
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{
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highs[i] = source[i].High;
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lows[i] = source[i].Low;
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closes[i] = source[i].Close;
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tSpan[i] = source[i].Time;
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}
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Batch(highs, lows, closes, vSpan);
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// Update internal state
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for (int i = 0; i < len; i++)
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{
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Update(source[i], isNew: true);
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}
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return new TSeries(t, v);
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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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var values = source.Values;
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// When using TSeries (close prices only), TR = |close[i] - close[i-1]| (gap-based)
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// This is a degenerate case - prefer TBarSeries
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for (int i = 0; i < len; i++)
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{
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tSpan[i] = source.Times[i];
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vSpan[i] = (i == 0) ? 0 : Math.Abs(values[i] - values[i - 1]);
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}
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// Update internal state
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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], 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 TValue UpdateCore(long timeTicks, double high, double low, double close, bool isNew)
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{
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if (isNew)
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{
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_ps = _s;
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}
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else
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{
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_s = _ps;
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}
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var s = _s;
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// Handle non-finite values - use last valid values
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if (!double.IsFinite(high))
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{
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high = s.LastValidHigh;
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}
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else
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{
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s.LastValidHigh = high;
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}
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if (!double.IsFinite(low))
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{
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low = s.LastValidLow;
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}
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else
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{
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s.LastValidLow = low;
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}
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if (!double.IsFinite(close))
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{
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close = s.LastValidClose;
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}
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else
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{
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s.LastValidClose = close;
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}
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double tr;
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if (s.Count == 0 || !double.IsFinite(s.PrevClose))
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{
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// First bar or no previous close: use High - Low
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tr = high - low;
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}
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else
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{
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tr = ComputeTrueRange(high, low, s.PrevClose);
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}
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if (!double.IsFinite(tr) || tr < 0)
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{
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tr = s.LastTr;
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}
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else
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{
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s.LastTr = tr;
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}
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// Update state
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s.PrevClose = close;
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if (isNew)
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{
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s.Count++;
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}
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_s = s;
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Last = new TValue(timeTicks, tr);
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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 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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_s = new State(double.NaN, 0, 0, 0, 0, 0);
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_ps = _s;
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Last = default;
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}
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/// <summary>
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/// Calculates True Range for a bar series (static).
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/// </summary>
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/// <param name="source">The source bar series.</param>
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/// <returns>A TSeries containing the True Range values.</returns>
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public static TSeries Calculate(TBarSeries source)
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{
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var tr = new Tr();
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return tr.Update(source);
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}
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/// <summary>
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/// Batch calculation using spans for OHLC data.
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/// </summary>
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/// <param name="high">High prices.</param>
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/// <param name="low">Low prices.</param>
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/// <param name="close">Close prices.</param>
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/// <param name="output">Output True Range values.</param>
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public static void Batch(
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ReadOnlySpan<double> high,
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ReadOnlySpan<double> low,
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ReadOnlySpan<double> close,
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Span<double> output)
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{
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int len = high.Length;
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if (low.Length != len || close.Length != len)
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{
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throw new ArgumentException("All input spans must have the same length", nameof(low));
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}
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if (output.Length < len)
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{
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throw new ArgumentException("Output span must be at least as long as input spans", nameof(output));
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}
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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 lastValidHigh = 0;
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double lastValidLow = 0;
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double lastValidClose = 0;
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double lastTr = 0;
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for (int i = 0; i < len; i++)
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{
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double h = high[i];
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double l = low[i];
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double c = close[i];
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// Handle non-finite values
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if (!double.IsFinite(h))
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{
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h = lastValidHigh;
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}
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else
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{
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lastValidHigh = h;
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}
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if (!double.IsFinite(l))
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{
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l = lastValidLow;
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}
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else
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{
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lastValidLow = l;
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}
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double tr;
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if (i == 0)
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{
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// First bar: use High - Low
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tr = h - l;
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}
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else
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{
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double prevClose = close[i - 1];
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if (!double.IsFinite(prevClose))
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{
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// Fall back to last valid close from previous bars
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prevClose = lastValidClose;
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}
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tr = ComputeTrueRange(h, l, prevClose);
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}
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// Update lastValidClose AFTER computing TR so fallback uses previous bar's close
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if (double.IsFinite(c))
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{
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lastValidClose = c;
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}
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if (!double.IsFinite(tr) || tr < 0)
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{
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tr = lastTr;
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}
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else
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{
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lastTr = tr;
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}
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output[i] = tr;
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}
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}
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/// <summary>
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/// Batch calculation using a TBarSeries (convenience overload).
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/// </summary>
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/// <param name="source">The source bar series.</param>
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/// <param name="output">Output True Range values.</param>
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public static void Batch(TBarSeries source, Span<double> output)
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{
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int len = source.Count;
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if (output.Length < len)
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{
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throw new ArgumentException("Output span must be at least as long as source", nameof(output));
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}
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if (len == 0)
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{
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return;
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}
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Span<double> highs = len <= 128 ? stackalloc double[len] : new double[len];
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Span<double> lows = len <= 128 ? stackalloc double[len] : new double[len];
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Span<double> closes = len <= 128 ? stackalloc double[len] : new double[len];
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for (int i = 0; i < len; i++)
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{
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highs[i] = source[i].High;
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lows[i] = source[i].Low;
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closes[i] = source[i].Close;
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}
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Batch(highs, lows, closes, output);
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}
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}
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