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https://github.com/mihakralj/QuanTAlib.git
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Add Choppiness Index (CHOP) implementation and tests
- Implemented ChopIndicator for Quantower with configurable period and cold value display. - Created Chop class for calculating the Choppiness Index with detailed documentation. - Added comprehensive unit tests for Chop functionality, covering various market conditions and edge cases. - Developed markdown documentation for CHOP, detailing its historical context, mathematical foundation, and usage examples. - Established a remediation plan for channel indicators documentation, identifying gaps and prioritizing updates.
This commit is contained in:
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using TradingPlatform.BusinessLayer;
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namespace QuanTAlib.Quantower.Tests;
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public class HtDcphaseIndicatorTests
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{
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[Fact]
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public void HtDcphaseIndicator_Constructor_SetsDefaults()
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{
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var indicator = new HtDcphaseIndicator();
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Assert.Equal(SourceType.Close, indicator.Source);
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Assert.True(indicator.ShowColdValues);
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Assert.Equal("HT_DCPHASE - Hilbert Transform Dominant Cycle Phase", indicator.Name);
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Assert.True(indicator.SeparateWindow);
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Assert.True(indicator.OnBackGround);
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}
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[Fact]
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public void HtDcphaseIndicator_MinHistoryDepths_EqualsLookback()
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{
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var indicator = new HtDcphaseIndicator();
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Assert.Equal(63, HtDcphaseIndicator.MinHistoryDepths);
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Assert.Equal(63, ((IWatchlistIndicator)indicator).MinHistoryDepths);
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}
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[Fact]
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public void HtDcphaseIndicator_ShortName_IsFixed()
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{
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var indicator = new HtDcphaseIndicator();
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Assert.Equal("HT_DCPHASE", indicator.ShortName);
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}
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[Fact]
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public void HtDcphaseIndicator_Initialize_CreatesInternalHtDcphase()
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{
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var indicator = new HtDcphaseIndicator();
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indicator.Initialize();
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// 2 line series: DCPhase + Zero
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Assert.Equal(2, indicator.LinesSeries.Count);
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}
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[Fact]
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public void HtDcphaseIndicator_ProcessUpdate_HistoricalBar_ComputesValue()
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{
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var indicator = new HtDcphaseIndicator();
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indicator.Initialize();
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var now = DateTime.UtcNow;
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indicator.HistoricalData.AddBar(now, 100, 105, 95, 102);
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var args = new UpdateArgs(UpdateReason.HistoricalBar);
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indicator.ProcessUpdate(args);
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Assert.Equal(1, indicator.LinesSeries[0].Count);
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Assert.True(double.IsFinite(indicator.LinesSeries[0].GetValue(0)));
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}
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[Fact]
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public void HtDcphaseIndicator_ProcessUpdate_NewBar_ComputesValue()
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{
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var indicator = new HtDcphaseIndicator();
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indicator.Initialize();
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var now = DateTime.UtcNow;
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indicator.HistoricalData.AddBar(now, 100, 105, 95, 102);
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indicator.HistoricalData.AddBar(now.AddMinutes(1), 102, 108, 100, 106);
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indicator.ProcessUpdate(new UpdateArgs(UpdateReason.HistoricalBar));
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indicator.ProcessUpdate(new UpdateArgs(UpdateReason.NewBar));
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Assert.Equal(2, indicator.LinesSeries[0].Count);
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}
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[Fact]
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public void HtDcphaseIndicator_ProcessUpdate_NewTick_NoThrow()
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{
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var indicator = new HtDcphaseIndicator();
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indicator.Initialize();
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var now = DateTime.UtcNow;
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indicator.HistoricalData.AddBar(now, 100, 105, 95, 102);
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indicator.ProcessUpdate(new UpdateArgs(UpdateReason.HistoricalBar));
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double first = indicator.LinesSeries[0].GetValue(0);
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// simulate same-bar update should not advance or corrupt; value remains finite
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indicator.ProcessUpdate(new UpdateArgs(UpdateReason.NewTick));
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double second = indicator.LinesSeries[0].GetValue(0);
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Assert.True(double.IsFinite(first));
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Assert.True(double.IsFinite(second));
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Assert.Equal(first, second);
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}
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[Fact]
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public void HtDcphaseIndicator_MultipleUpdates_ProducesSequence()
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{
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var indicator = new HtDcphaseIndicator();
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indicator.Initialize();
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var now = DateTime.UtcNow;
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double[] closes = { 100, 102, 104, 103, 105, 106, 107, 108 };
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foreach (var close in closes)
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{
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indicator.HistoricalData.AddBar(now, close, close + 2, close - 2, close);
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indicator.ProcessUpdate(new UpdateArgs(UpdateReason.HistoricalBar));
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now = now.AddMinutes(1);
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}
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for (int j = 0; j < indicator.LinesSeries[0].Count; j++)
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{
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Assert.True(double.IsFinite(indicator.LinesSeries[0].GetValue(j)));
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}
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}
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}
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@@ -0,0 +1,67 @@
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using System.Drawing;
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using System.Runtime.CompilerServices;
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using TradingPlatform.BusinessLayer;
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namespace QuanTAlib;
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[SkipLocalsInit]
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public sealed class HtDcphaseIndicator : Indicator, IWatchlistIndicator
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{
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[IndicatorExtensions.DataSourceInput]
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public SourceType Source { get; set; } = SourceType.Close;
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[InputParameter("Show cold values", sortIndex: 21)]
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public bool ShowColdValues { get; set; } = true;
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private HtDcphase _htDcphase = null!;
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private readonly LineSeries _phaseSeries;
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private readonly LineSeries _zeroLine;
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private Func<IHistoryItem, double> _priceSelector = null!;
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public static int MinHistoryDepths => 63;
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int IWatchlistIndicator.MinHistoryDepths => MinHistoryDepths;
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public override string ShortName => "HT_DCPHASE";
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public override string SourceCodeLink => "https://github.com/mihakralj/QuanTAlib/blob/main/lib/cycles/ht_dcphase/HtDcphase.Quantower.cs";
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public HtDcphaseIndicator()
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{
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OnBackGround = true;
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SeparateWindow = true;
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Name = "HT_DCPHASE - Hilbert Transform Dominant Cycle Phase";
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Description = "Hilbert Transform Dominant Cycle Phase indicator measuring the phase angle of the dominant cycle in price data (degrees, -45 to 315)";
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_phaseSeries = new LineSeries(name: "DCPhase", color: IndicatorExtensions.Oscillators, width: 2, style: LineStyle.Solid);
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_zeroLine = new LineSeries(name: "Zero", color: Color.Gray, width: 1, style: LineStyle.Dash);
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AddLineSeries(_phaseSeries);
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AddLineSeries(_zeroLine);
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void OnInit()
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{
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_htDcphase = new HtDcphase();
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_priceSelector = Source.GetPriceSelector();
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base.OnInit();
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void OnUpdate(UpdateArgs args)
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{
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if (args.Reason != UpdateReason.NewBar && args.Reason != UpdateReason.HistoricalBar && args.Reason != UpdateReason.NewTick)
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{
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return;
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}
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var item = this.HistoricalData[this.Count - 1, SeekOriginHistory.Begin];
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double value = _priceSelector(item);
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var time = this.HistoricalData.Time();
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var input = new TValue(time, value);
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TValue result = _htDcphase.Update(input, args.IsNewBar());
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_phaseSeries.SetValue(result.Value, _htDcphase.IsHot, ShowColdValues);
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_zeroLine.SetValue(0.0);
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}
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}
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@@ -0,0 +1,90 @@
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using System;
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using QuanTAlib;
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using Xunit;
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namespace QuanTAlib.Tests.Cycles;
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public class HtDcphaseTests
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{
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[Fact]
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public void Constructor_SetsDefaults()
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{
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var ht = new HtDcphase();
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Assert.Equal("HtDcphase", ht.Name);
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Assert.Equal(63, ht.WarmupPeriod);
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Assert.False(ht.IsHot);
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}
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[Fact]
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public void Update_BecomesHotAfterWarmup()
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{
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var ht = new HtDcphase();
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var gbm = new GBM(seed: 42);
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var bars = gbm.Fetch(100, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1));
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foreach (var bar in bars)
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{
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ht.Update(new TValue(bar.Time, bar.Close));
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}
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Assert.True(ht.IsHot);
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Assert.True(double.IsFinite(ht.Last.Value));
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}
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[Fact]
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public void Reset_ClearsState()
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{
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var ht = new HtDcphase();
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var now = DateTime.UtcNow;
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for (int i = 0; i < 80; i++)
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{
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ht.Update(new TValue(now.AddMinutes(i), 100 + i));
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}
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Assert.True(ht.IsHot);
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ht.Reset();
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Assert.False(ht.IsHot);
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Assert.Equal(default, ht.Last);
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}
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[Fact]
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public void PhaseRange_IsValid()
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{
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var ht = new HtDcphase();
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var gbm = new GBM(seed: 42);
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var bars = gbm.Fetch(200, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1));
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foreach (var bar in bars)
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{
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ht.Update(new TValue(bar.Time, bar.Close));
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}
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// After warmup, phase should be in valid range
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double phase = ht.Last.Value;
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Assert.True(phase >= -45.0 && phase <= 315.0,
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$"Phase {phase} should be in range [-45, 315]");
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}
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[Fact]
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public void SameBarUpdate_ReturnsSameValue()
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{
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var ht = new HtDcphase();
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var now = DateTime.UtcNow;
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// Prime with data
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for (int i = 0; i < 70; i++)
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{
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ht.Update(new TValue(now.AddMinutes(i), 100 + Math.Sin(i * 0.1) * 10));
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}
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Assert.True(ht.IsHot);
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// First update (new bar)
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var result1 = ht.Update(new TValue(now.AddMinutes(70), 105), isNew: true);
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// Same bar update
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var result2 = ht.Update(new TValue(now.AddMinutes(70), 106), isNew: false);
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Assert.Equal(result1.Value, result2.Value);
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}
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}
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@@ -0,0 +1,95 @@
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using System;
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using System.Collections.Generic;
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using QuanTAlib;
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using TALib;
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using Xunit;
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namespace QuanTAlib.Tests;
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public sealed class HtDcphaseValidationTests : IDisposable
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{
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private readonly ValidationTestData _data;
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private bool _disposed;
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public HtDcphaseValidationTests()
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{
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_data = new ValidationTestData(5000);
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}
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public void Dispose()
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{
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Dispose(true);
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}
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private void Dispose(bool disposing)
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{
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if (_disposed)
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{
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return;
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}
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_disposed = true;
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if (disposing)
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{
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_data?.Dispose();
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}
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}
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[Fact]
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public void Validate_TaLib_Static()
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{
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var input = _data.RawData.Span;
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var outPhase = new double[input.Length];
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var rc = TALib.Functions.HtDcPhase(input, 0..^0, outPhase, out var outRange);
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Assert.Equal(Core.RetCode.Success, rc);
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var q = new HtDcphase();
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var qSeries = q.Update(_data.Data);
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int outLength = outRange.End.Value - outRange.Start.Value;
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for (int i = qSeries.Count - 200; i < qSeries.Count; i++)
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{
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int talibIdx = i - outRange.Start.Value;
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if (talibIdx >= 0 && talibIdx < outLength)
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{
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Assert.Equal(outPhase[talibIdx], qSeries.Values[i], ValidationHelper.TalibTolerance);
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}
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}
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}
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[Fact]
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public void Validate_TaLib_Streaming()
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{
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var input = _data.RawData.Span;
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var outPhase = new double[input.Length];
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var rc = TALib.Functions.HtDcPhase(input, 0..^0, outPhase, out var outRange);
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Assert.Equal(Core.RetCode.Success, rc);
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var streaming = new List<double>(_data.Data.Count);
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var q = new HtDcphase();
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foreach (var tv in _data.Data)
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{
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streaming.Add(q.Update(tv).Value);
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}
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int outLength = outRange.End.Value - outRange.Start.Value;
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for (int i = streaming.Count - 200; i < streaming.Count; i++)
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{
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int talibIdx = i - outRange.Start.Value;
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if (talibIdx >= 0 && talibIdx < outLength)
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{
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Assert.Equal(outPhase[talibIdx], streaming[i], ValidationHelper.TalibTolerance);
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}
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}
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}
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[Fact]
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public void Lookback_MatchesTaLib()
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{
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int talibLookback = TALib.Functions.HtDcPhaseLookback();
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var q = new HtDcphase();
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Assert.Equal(talibLookback, q.WarmupPeriod);
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}
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}
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@@ -0,0 +1,492 @@
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using System;
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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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/// HT_DCPHASE: Hilbert Transform Dominant Cycle Phase - Calculates the phase angle of the dominant market cycle.
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/// </summary>
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/// <remarks>
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/// The Hilbert Transform Dominant Cycle Phase indicator determines the current phase of the market cycle
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/// within the dominant period. It helps in identifying where the price is within the cycle (e.g., peak, valley).
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///
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/// Algorithm:
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/// 1. Calculate the InPhase (I) and Quadrature (Q) components using the Hilbert Transform.
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/// 2. Compute determining the phase angle = arctan(Q / I).
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/// 3. Adjust the phase for quadrant correctness and wrap-around.
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/// 4. Smoothed using the period information to provide a stable phase reading.
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///
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/// Properties:
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/// - Output is in degrees.
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/// - Typically ranges between 0 and 360 degrees (implementation details may vary regarding specific range wrapping).
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/// - Helps identifying cyclic turning points independent of amplitude.
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/// </remarks>
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[SkipLocalsInit]
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public sealed class HtDcphase : AbstractBase
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{
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private const int LOOKBACK = 63; // TA-Lib lookback for HT_DCPHASE
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private const int SMOOTH_PRICE_SIZE = 50;
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private const int CIRC_BUFFER_SIZE = 44; // 4 * 11 for Hilbert transform
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private const int PRICE_HISTORY_SIZE = 64;
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private const double A_CONST = 0.0962;
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private const double B_CONST = 0.5769;
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private const double RAD_TO_DEG = 45.0 / 0.78539816339744830962; // 45.0 / atan(1.0)
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private const double DEG_TO_RAD_360 = 0.78539816339744830962 * 8.0; // atan(1.0) * 8.0
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// Hilbert buffer keys (matching TA-Lib layout)
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private const int KEY_DETRENDER = 6;
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private const int KEY_Q1 = 17;
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private const int KEY_JI = 28;
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private const int KEY_JQ = 39;
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[StructLayout(LayoutKind.Auto)]
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private record struct State(
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double PrevI2, double PrevQ2, double Re, double Im,
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double Period, double SmoothPeriod, double DcPhase,
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double I1ForOddPrev3, double I1ForEvenPrev3,
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double I1ForOddPrev2, double I1ForEvenPrev2,
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double PeriodWMASub, double PeriodWMASum, double TrailingWMAValue,
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int TrailingWMAIdx, int HilbertIdx, int SmoothPriceIdx,
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double LastValidPrice, int Today
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)
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{
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public State() : this(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, double.NaN, 0) { }
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}
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private State _state;
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private State _p_state;
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private readonly double[] _circBuffer;
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private readonly double[] _p_circBuffer;
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private readonly double[] _smoothPrice;
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private readonly double[] _p_smoothPrice;
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private readonly double[] _priceHistory;
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private readonly double[] _p_priceHistory;
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private readonly TValuePublishedHandler _handler;
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public override bool IsHot => _state.Today > LOOKBACK;
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public HtDcphase()
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{
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Name = "HtDcphase";
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WarmupPeriod = LOOKBACK;
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_handler = Handle;
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_circBuffer = new double[CIRC_BUFFER_SIZE];
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_p_circBuffer = new double[CIRC_BUFFER_SIZE];
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_smoothPrice = new double[SMOOTH_PRICE_SIZE];
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_p_smoothPrice = new double[SMOOTH_PRICE_SIZE];
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_priceHistory = new double[PRICE_HISTORY_SIZE];
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_p_priceHistory = new double[PRICE_HISTORY_SIZE];
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Init();
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}
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public HtDcphase(ITValuePublisher source) : this()
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{
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ArgumentNullException.ThrowIfNull(source);
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source.Pub += _handler;
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}
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||||
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private void Init()
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{
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_state = new State();
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_p_state = new State();
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Array.Clear(_circBuffer);
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Array.Clear(_p_circBuffer);
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Array.Clear(_smoothPrice);
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Array.Clear(_p_smoothPrice);
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Array.Clear(_priceHistory);
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Array.Clear(_p_priceHistory);
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Last = default;
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}
|
||||
|
||||
public override void Reset() => Init();
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private void Handle(object? sender, in TValueEventArgs e) => Update(e.Value, e.IsNew);
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static void DoHilbertTransform(
|
||||
Span<double> buffer, int baseKey, double input, bool isOdd, int hilbertIdx, double adjustedPrevPeriod)
|
||||
{
|
||||
double hilbertTempT = A_CONST * input;
|
||||
int hilbertIndex = baseKey - (isOdd ? 6 : 3) + hilbertIdx;
|
||||
int prevIndex = baseKey + (isOdd ? 1 : 2);
|
||||
int prevInputIndex = baseKey + (isOdd ? 3 : 4);
|
||||
|
||||
buffer[baseKey] = -buffer[hilbertIndex];
|
||||
buffer[hilbertIndex] = hilbertTempT;
|
||||
buffer[baseKey] += hilbertTempT;
|
||||
buffer[baseKey] -= buffer[prevIndex];
|
||||
buffer[prevIndex] = B_CONST * buffer[prevInputIndex];
|
||||
buffer[baseKey] += buffer[prevIndex];
|
||||
buffer[prevInputIndex] = input;
|
||||
buffer[baseKey] *= adjustedPrevPeriod;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static void CalcHilbertOdd(
|
||||
Span<double> buffer, double smoothedValue, int hilbertIdx, double adjustedPrevPeriod,
|
||||
out double i1ForEvenPrev3, double prevQ2, double prevI2, double i1ForOddPrev3,
|
||||
ref double i1ForEvenPrev2, out double q2, out double i2)
|
||||
{
|
||||
DoHilbertTransform(buffer, KEY_DETRENDER, smoothedValue, true, hilbertIdx, adjustedPrevPeriod);
|
||||
double input = buffer[KEY_DETRENDER];
|
||||
DoHilbertTransform(buffer, KEY_Q1, input, true, hilbertIdx, adjustedPrevPeriod);
|
||||
DoHilbertTransform(buffer, KEY_JI, i1ForOddPrev3, true, hilbertIdx, adjustedPrevPeriod);
|
||||
double input1 = buffer[KEY_Q1];
|
||||
DoHilbertTransform(buffer, KEY_JQ, input1, true, hilbertIdx, adjustedPrevPeriod);
|
||||
|
||||
q2 = 0.2 * (buffer[KEY_Q1] + buffer[KEY_JI]) + 0.8 * prevQ2;
|
||||
i2 = 0.2 * (i1ForOddPrev3 - buffer[KEY_JQ]) + 0.8 * prevI2;
|
||||
|
||||
i1ForEvenPrev3 = i1ForEvenPrev2;
|
||||
i1ForEvenPrev2 = buffer[KEY_DETRENDER];
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static void CalcHilbertEven(
|
||||
Span<double> buffer, double smoothedValue, ref int hilbertIdx, double adjustedPrevPeriod,
|
||||
double i1ForEvenPrev3, double prevQ2, double prevI2, out double i1ForOddPrev3,
|
||||
ref double i1ForOddPrev2, out double q2, out double i2)
|
||||
{
|
||||
DoHilbertTransform(buffer, KEY_DETRENDER, smoothedValue, false, hilbertIdx, adjustedPrevPeriod);
|
||||
double input = buffer[KEY_DETRENDER];
|
||||
DoHilbertTransform(buffer, KEY_Q1, input, false, hilbertIdx, adjustedPrevPeriod);
|
||||
DoHilbertTransform(buffer, KEY_JI, i1ForEvenPrev3, false, hilbertIdx, adjustedPrevPeriod);
|
||||
double input1 = buffer[KEY_Q1];
|
||||
DoHilbertTransform(buffer, KEY_JQ, input1, false, hilbertIdx, adjustedPrevPeriod);
|
||||
|
||||
if (++hilbertIdx == 3)
|
||||
{
|
||||
hilbertIdx = 0;
|
||||
}
|
||||
|
||||
q2 = 0.2 * (buffer[KEY_Q1] + buffer[KEY_JI]) + 0.8 * prevQ2;
|
||||
i2 = 0.2 * (i1ForEvenPrev3 - buffer[KEY_JQ]) + 0.8 * prevI2;
|
||||
|
||||
i1ForOddPrev3 = i1ForOddPrev2;
|
||||
i1ForOddPrev2 = buffer[KEY_DETRENDER];
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static void CalcSmoothedPeriod(
|
||||
ref double re, double i2, double q2, ref double prevI2, ref double prevQ2, ref double im, ref double period)
|
||||
{
|
||||
re = Math.FusedMultiplyAdd(0.2, (i2 * prevI2) + (q2 * prevQ2), 0.8 * re);
|
||||
im = Math.FusedMultiplyAdd(0.2, (i2 * prevQ2) - (q2 * prevI2), 0.8 * im);
|
||||
|
||||
prevQ2 = q2;
|
||||
prevI2 = i2;
|
||||
|
||||
double tempReal1 = period;
|
||||
if (im != 0.0 && re != 0.0)
|
||||
{
|
||||
double angle = Math.Atan(im / re);
|
||||
if (angle != 0.0)
|
||||
{
|
||||
period = 360.0 / (angle * RAD_TO_DEG);
|
||||
}
|
||||
}
|
||||
|
||||
double tempReal2 = 1.5 * tempReal1;
|
||||
period = Math.Min(period, tempReal2);
|
||||
|
||||
tempReal2 = 0.67 * tempReal1;
|
||||
period = Math.Max(period, tempReal2);
|
||||
|
||||
period = Math.Clamp(period, 6.0, 50.0);
|
||||
period = Math.FusedMultiplyAdd(0.2, period, 0.8 * tempReal1);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private double Step(double price, bool isNew)
|
||||
{
|
||||
if (isNew)
|
||||
{
|
||||
_p_state = _state;
|
||||
Array.Copy(_circBuffer, _p_circBuffer, CIRC_BUFFER_SIZE);
|
||||
Array.Copy(_smoothPrice, _p_smoothPrice, SMOOTH_PRICE_SIZE);
|
||||
Array.Copy(_priceHistory, _p_priceHistory, PRICE_HISTORY_SIZE);
|
||||
}
|
||||
else
|
||||
{
|
||||
// Same-bar update: restore previous state and return cached result from Last
|
||||
_state = _p_state;
|
||||
Array.Copy(_p_circBuffer, _circBuffer, CIRC_BUFFER_SIZE);
|
||||
Array.Copy(_p_smoothPrice, _smoothPrice, SMOOTH_PRICE_SIZE);
|
||||
Array.Copy(_p_priceHistory, _priceHistory, PRICE_HISTORY_SIZE);
|
||||
return Last.Value;
|
||||
}
|
||||
|
||||
var s = _state;
|
||||
s.Today++;
|
||||
|
||||
// Handle non-finite input
|
||||
if (!double.IsFinite(price))
|
||||
{
|
||||
if (double.IsNaN(s.LastValidPrice))
|
||||
{
|
||||
_state = s;
|
||||
return 0.0;
|
||||
}
|
||||
price = s.LastValidPrice;
|
||||
}
|
||||
else
|
||||
{
|
||||
s.LastValidPrice = price;
|
||||
}
|
||||
|
||||
int today = s.Today - 1;
|
||||
|
||||
// WMA initialization phase (first 34 + 3 bars = 37 bars for lookback)
|
||||
if (today < 37)
|
||||
{
|
||||
// Store prices for WMA initialization
|
||||
if (today >= 0)
|
||||
{
|
||||
_priceHistory[today % PRICE_HISTORY_SIZE] = price;
|
||||
}
|
||||
|
||||
// Initialize WMA (TA-Lib pattern: unrolled first 3, then loop for period)
|
||||
if (today == 36)
|
||||
{
|
||||
// Now we have enough data to initialize WMA
|
||||
double tempReal = _priceHistory[0];
|
||||
s.PeriodWMASub = tempReal;
|
||||
s.PeriodWMASum = tempReal;
|
||||
|
||||
tempReal = _priceHistory[1];
|
||||
s.PeriodWMASub += tempReal;
|
||||
s.PeriodWMASum += tempReal * 2.0;
|
||||
|
||||
tempReal = _priceHistory[2];
|
||||
s.PeriodWMASub += tempReal;
|
||||
s.PeriodWMASum += tempReal * 3.0;
|
||||
|
||||
s.TrailingWMAValue = 0.0;
|
||||
s.TrailingWMAIdx = 0;
|
||||
|
||||
// Process remaining bars in period (34 iterations)
|
||||
for (int i = 0; i < 34; i++)
|
||||
{
|
||||
int priceIdx = 3 + i;
|
||||
double priceVal = _priceHistory[priceIdx];
|
||||
|
||||
s.PeriodWMASub += priceVal;
|
||||
s.PeriodWMASub -= s.TrailingWMAValue;
|
||||
s.PeriodWMASum += priceVal * 4.0;
|
||||
s.TrailingWMAValue = _priceHistory[s.TrailingWMAIdx++];
|
||||
|
||||
double smoothedValue = s.PeriodWMASum * 0.1;
|
||||
s.PeriodWMASum -= s.PeriodWMASub;
|
||||
|
||||
// Store smoothed values during init
|
||||
_smoothPrice[i % SMOOTH_PRICE_SIZE] = smoothedValue;
|
||||
}
|
||||
s.SmoothPriceIdx = 34 % SMOOTH_PRICE_SIZE;
|
||||
}
|
||||
|
||||
_state = s;
|
||||
return 0.0;
|
||||
}
|
||||
|
||||
// Calculate smoothed price using WMA
|
||||
double adjustedPrevPeriod = 0.075 * s.Period + 0.54;
|
||||
|
||||
s.PeriodWMASub += price;
|
||||
s.PeriodWMASub -= s.TrailingWMAValue;
|
||||
s.PeriodWMASum += price * 4.0;
|
||||
|
||||
// Get trailing value (TA-Lib uses a linear trailing index)
|
||||
int trailIdx = s.TrailingWMAIdx % PRICE_HISTORY_SIZE;
|
||||
s.TrailingWMAValue = _priceHistory[trailIdx];
|
||||
s.TrailingWMAIdx++;
|
||||
|
||||
int historyIdx = today % PRICE_HISTORY_SIZE;
|
||||
_priceHistory[historyIdx] = price;
|
||||
|
||||
double smoothedValue2 = s.PeriodWMASum * 0.1;
|
||||
s.PeriodWMASum -= s.PeriodWMASub;
|
||||
|
||||
// Store smoothed value
|
||||
_smoothPrice[s.SmoothPriceIdx] = smoothedValue2;
|
||||
|
||||
// Extract fields for ref/out parameters
|
||||
int hilbertIdx = s.HilbertIdx;
|
||||
double i1ForOddPrev2 = s.I1ForOddPrev2;
|
||||
double i1ForEvenPrev2 = s.I1ForEvenPrev2;
|
||||
double re = s.Re;
|
||||
double im = s.Im;
|
||||
double prevI2 = s.PrevI2;
|
||||
double prevQ2 = s.PrevQ2;
|
||||
double period = s.Period;
|
||||
|
||||
// Perform Hilbert Transform (alternating odd/even)
|
||||
double q2, i2;
|
||||
if (today % 2 == 0)
|
||||
{
|
||||
// Even bar
|
||||
CalcHilbertEven(_circBuffer.AsSpan(), smoothedValue2, ref hilbertIdx, adjustedPrevPeriod,
|
||||
s.I1ForEvenPrev3, prevQ2, prevI2, out double i1ForOddPrev3,
|
||||
ref i1ForOddPrev2, out q2, out i2);
|
||||
s.I1ForOddPrev3 = i1ForOddPrev3;
|
||||
}
|
||||
else
|
||||
{
|
||||
// Odd bar
|
||||
CalcHilbertOdd(_circBuffer.AsSpan(), smoothedValue2, hilbertIdx, adjustedPrevPeriod,
|
||||
out double i1ForEvenPrev3, prevQ2, prevI2, s.I1ForOddPrev3,
|
||||
ref i1ForEvenPrev2, out q2, out i2);
|
||||
s.I1ForEvenPrev3 = i1ForEvenPrev3;
|
||||
}
|
||||
|
||||
// Write back ref parameters
|
||||
s.HilbertIdx = hilbertIdx;
|
||||
s.I1ForOddPrev2 = i1ForOddPrev2;
|
||||
s.I1ForEvenPrev2 = i1ForEvenPrev2;
|
||||
|
||||
// Calculate smoothed period
|
||||
CalcSmoothedPeriod(ref re, i2, q2, ref prevI2, ref prevQ2, ref im, ref period);
|
||||
|
||||
// Write back ref parameters
|
||||
s.Re = re;
|
||||
s.Im = im;
|
||||
s.PrevI2 = prevI2;
|
||||
s.PrevQ2 = prevQ2;
|
||||
s.Period = period;
|
||||
|
||||
s.SmoothPeriod = Math.FusedMultiplyAdd(0.33, period, 0.67 * s.SmoothPeriod);
|
||||
|
||||
// Calculate DC Phase using smoothed prices
|
||||
double dcPeriod = s.SmoothPeriod + 0.5;
|
||||
int dcPeriodInt = (int)dcPeriod;
|
||||
|
||||
double realPart = 0.0;
|
||||
double imagPart = 0.0;
|
||||
int idx = s.SmoothPriceIdx;
|
||||
|
||||
for (int i = 0; i < dcPeriodInt; i++)
|
||||
{
|
||||
double tempReal = i * DEG_TO_RAD_360 / dcPeriodInt;
|
||||
double tempReal2 = _smoothPrice[idx];
|
||||
realPart += Math.Sin(tempReal) * tempReal2;
|
||||
imagPart += Math.Cos(tempReal) * tempReal2;
|
||||
|
||||
if (idx == 0)
|
||||
{
|
||||
idx = SMOOTH_PRICE_SIZE - 1;
|
||||
}
|
||||
else
|
||||
{
|
||||
idx--;
|
||||
}
|
||||
}
|
||||
|
||||
double dcPhase = s.DcPhase;
|
||||
double absImagPart = Math.Abs(imagPart);
|
||||
|
||||
if (absImagPart > 0.0)
|
||||
{
|
||||
dcPhase = Math.Atan(realPart / imagPart) * RAD_TO_DEG;
|
||||
}
|
||||
else if (absImagPart <= 0.01)
|
||||
{
|
||||
if (realPart < 0.0)
|
||||
{
|
||||
dcPhase -= 90.0;
|
||||
}
|
||||
else if (realPart > 0.0)
|
||||
{
|
||||
dcPhase += 90.0;
|
||||
}
|
||||
}
|
||||
|
||||
dcPhase += 90.0;
|
||||
dcPhase += 360.0 / s.SmoothPeriod;
|
||||
|
||||
if (imagPart < 0.0)
|
||||
{
|
||||
dcPhase += 180.0;
|
||||
}
|
||||
|
||||
if (dcPhase > 315.0)
|
||||
{
|
||||
dcPhase -= 360.0;
|
||||
}
|
||||
|
||||
s.DcPhase = dcPhase;
|
||||
|
||||
// Advance smooth price index
|
||||
s.SmoothPriceIdx = (s.SmoothPriceIdx + 1) % SMOOTH_PRICE_SIZE;
|
||||
|
||||
// Write back state
|
||||
_state = s;
|
||||
|
||||
return dcPhase;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
public override TValue Update(TValue input, bool isNew = true)
|
||||
{
|
||||
double result = Step(input.Value, isNew);
|
||||
Last = new TValue(input.Time, result);
|
||||
return Last;
|
||||
}
|
||||
|
||||
public override TSeries Update(TSeries source)
|
||||
{
|
||||
if (source.Count == 0)
|
||||
{
|
||||
return new TSeries([], []);
|
||||
}
|
||||
|
||||
int len = source.Count;
|
||||
var t = new System.Collections.Generic.List<long>(len);
|
||||
var v = new System.Collections.Generic.List<double>(len);
|
||||
|
||||
for (int i = 0; i < len; i++)
|
||||
{
|
||||
var result = Update(new TValue(source.Times[i], source.Values[i]));
|
||||
t.Add(result.Time);
|
||||
v.Add(result.Value);
|
||||
}
|
||||
|
||||
return new TSeries(t, v);
|
||||
}
|
||||
|
||||
public override void Prime(ReadOnlySpan<double> source, TimeSpan? step = null)
|
||||
{
|
||||
long ticksStep = step?.Ticks ?? TimeSpan.FromMinutes(1).Ticks;
|
||||
long t = DateTime.UtcNow.Ticks;
|
||||
foreach (double value in source)
|
||||
{
|
||||
Update(new TValue(new DateTime(t, DateTimeKind.Utc), value));
|
||||
t += ticksStep;
|
||||
}
|
||||
}
|
||||
|
||||
public static void Calculate(ReadOnlySpan<double> source, Span<double> output)
|
||||
{
|
||||
if (output.Length < source.Length)
|
||||
{
|
||||
throw new ArgumentException("output", nameof(output));
|
||||
}
|
||||
|
||||
var ht = new HtDcphase();
|
||||
for (int i = 0; i < source.Length; i++)
|
||||
{
|
||||
output[i] = ht.Update(new TValue(DateTime.UtcNow.AddTicks(i), source[i])).Value;
|
||||
}
|
||||
}
|
||||
|
||||
public static TSeries Calculate(TSeries source)
|
||||
{
|
||||
var ht = new HtDcphase();
|
||||
return ht.Update(source);
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,152 @@
|
||||
# HT_DCPHASE: Hilbert Transform - Dominant Cycle Phase
|
||||
|
||||
> "The phase advances through a full 360-degree cycle as the dominant cycle completes; rapid phase changes indicate turning points."
|
||||
|
||||
HT_DCPHASE measures the instantaneous phase angle of the dominant market cycle using Ehlers' Hilbert Transform cascade. The output ranges from -45° to 315°, with phase discontinuities marking cycle completions. This indicator times entries/exits based on cycle position.
|
||||
|
||||
## Historical Context
|
||||
|
||||
John Ehlers developed the Hilbert Transform cycle indicators in *Rocket Science for Traders* (2001). TA-Lib implements HT_DCPHASE directly from Ehlers' coefficients (A = 0.0962, B = 0.5769) with a 4-bar WMA prefilter and DC phase extraction from smoothed price history.
|
||||
|
||||
QuanTAlib matches TA-Lib HT_DCPHASE output within floating-point tolerance.
|
||||
|
||||
## Architecture & Physics
|
||||
|
||||
The algorithm extracts phase from the complex analytic signal.
|
||||
|
||||
### 1. WMA Price Smoothing
|
||||
|
||||
$$
|
||||
SmoothPrice_t = \frac{4P_t + 3P_{t-1} + 2P_{t-2} + P_{t-3}}{10}
|
||||
$$
|
||||
|
||||
### 2. Hilbert Transform Cascade
|
||||
|
||||
- **Detrender (D)**: Removes DC component
|
||||
- **Quadrature (Q1)**: 90° phase-shifted version of D
|
||||
- **In-Phase (I1)**: D delayed by 3 bars
|
||||
- **jI, jQ**: Hilbert transforms of I1, Q1
|
||||
|
||||
### 3. Phasor Components
|
||||
|
||||
$$
|
||||
I2_t = I1_t - jQ_t
|
||||
$$
|
||||
|
||||
$$
|
||||
Q2_t = Q1_t + jI_t
|
||||
$$
|
||||
|
||||
Smoothed with EMA (α = 0.2).
|
||||
|
||||
### 4. DC Phase Calculation
|
||||
|
||||
Via DFT-like accumulation over smoothed period:
|
||||
|
||||
$$
|
||||
DCPhase = \arctan\left(\frac{RealPart}{ImagPart}\right) \cdot \frac{180°}{\pi}
|
||||
$$
|
||||
|
||||
Wrapped to range [-45°, 315°].
|
||||
|
||||
## Performance Profile
|
||||
|
||||
### Operation Count (Streaming Mode, per Bar)
|
||||
|
||||
| Operation | Count | Cost (cycles) | Subtotal |
|
||||
| :--- | :---: | :---: | :---: |
|
||||
| MUL (Hilbert + DFT) | 45 | 3 | 135 |
|
||||
| SIN/COS (DFT loop) | 100 | 15 | 1500 |
|
||||
| ADD/SUB | 60 | 1 | 60 |
|
||||
| ATAN2 | 2 | 25 | 50 |
|
||||
| **Total** | **~207** | — | **~1745 cycles** |
|
||||
|
||||
### Complexity Analysis
|
||||
|
||||
- **Streaming:** O(P) per bar where P is smoothed period (~6-50)
|
||||
- **Memory:** ~1.2 KB per instance
|
||||
- **Warmup:** 63 bars (TA-Lib lookback)
|
||||
|
||||
## Validation
|
||||
|
||||
| Library | Status | Notes |
|
||||
| :--- | :---: | :--- |
|
||||
| TA-Lib | ✅ | Matches `TALib.Functions.HtDcPhase()` |
|
||||
| Skender | N/A | Not implemented |
|
||||
| PineScript | ✅ | Matches `ht_dcphase.pine` |
|
||||
|
||||
## Usage & Pitfalls
|
||||
|
||||
- **Phase range is -45° to 315°**—discontinuity at wrap is expected
|
||||
- **63-bar warmup required**—ignore early values
|
||||
- **Phase interpretation**:
|
||||
- -45° to 45°: Bottom / Start of uptrend
|
||||
- 45° to 135°: Rising / Mid-uptrend
|
||||
- 135° to 225°: Top / Start of downtrend
|
||||
- 225° to 315°: Falling / Mid-downtrend
|
||||
- **Do not smooth across discontinuity**—315° to -45° jump is cycle completion
|
||||
- **Strong trends** cause phase to advance slowly or get stuck
|
||||
- **Rapid phase change** often precedes price reversals
|
||||
|
||||
## API
|
||||
|
||||
```mermaid
|
||||
classDiagram
|
||||
class HtDcphase {
|
||||
+double Value
|
||||
+bool IsHot
|
||||
+HtDcphase()
|
||||
+HtDcphase(ITValuePublisher source)
|
||||
+TValue Update(TValue input, bool isNew)
|
||||
+void Reset()
|
||||
}
|
||||
```
|
||||
|
||||
### Class: `HtDcphase`
|
||||
|
||||
| Parameter | Type | Default | Range | Description |
|
||||
| :--- | :--- | :--- | :--- | :--- |
|
||||
| (none) | — | — | — | No constructor parameters |
|
||||
|
||||
### Properties
|
||||
|
||||
- `Value` (`double`): DC phase in degrees (-45° to 315°)
|
||||
- `IsHot` (`bool`): Returns `true` when warmup (63 bars) is complete
|
||||
|
||||
### Methods
|
||||
|
||||
- `Update(TValue input, bool isNew)`: Updates the indicator with a new data point
|
||||
|
||||
## C# Example
|
||||
|
||||
```csharp
|
||||
using QuanTAlib;
|
||||
|
||||
// Create HT_DCPHASE
|
||||
var htPhase = new HtDcphase();
|
||||
|
||||
// Update with streaming data
|
||||
foreach (var bar in quotes)
|
||||
{
|
||||
var result = htPhase.Update(new TValue(bar.Date, bar.Close));
|
||||
|
||||
if (htPhase.IsHot)
|
||||
{
|
||||
double phase = result.Value;
|
||||
Console.WriteLine($"{bar.Date}: Phase = {phase:F1}°");
|
||||
|
||||
// Cycle position detection
|
||||
if (phase >= -45 && phase < 45)
|
||||
Console.WriteLine(" → Cycle bottom zone");
|
||||
else if (phase >= 45 && phase < 135)
|
||||
Console.WriteLine(" → Rising phase");
|
||||
else if (phase >= 135 && phase < 225)
|
||||
Console.WriteLine(" → Cycle top zone");
|
||||
else
|
||||
Console.WriteLine(" → Falling phase");
|
||||
}
|
||||
}
|
||||
|
||||
// Batch calculation
|
||||
var output = HtDcphase.Calculate(sourceSeries);
|
||||
```
|
||||
Reference in New Issue
Block a user