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namespace QuanTAlib;
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/// <summary>
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/// DEMA: Double Exponential Moving Average
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/// DEMA reduces the lag of a traditional EMA by applying a second EMA over EMA.
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/// It responds more quickly to price changes than a standard EMA while maintaining
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/// smoothness, at the cost of overshooting the signal line.
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/// </summary>
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/// <remarks>
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/// Smoothness: ★★★☆☆ (3/5)
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/// Sensitivity: ★★★★☆ (4/5)
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/// Overshooting: ★★★☆☆ (3/5)
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/// Lag: ★★★★☆ (4/5)
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///
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/// Sources:
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/// https://www.investopedia.com/terms/d/double-exponential-moving-average.asp
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/// https://www.tradingview.com/support/solutions/43000502589-double-exponential-moving-average-dema/
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///
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/// Validation:
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/// Skender.Stock.Indicators
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/// </remarks>
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public class Dema : AbstractBase
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{
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// inherited _index
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// inherited _value
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private readonly int _period;
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private double _lastEma1, _p_lastEma1;
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private double _lastEma2, _p_lastEma2;
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private double _k, _e, _p_e;
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public Dema(int period) : base()
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{
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if (period < 1)
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{
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throw new ArgumentOutOfRangeException(nameof(period), "Period must be greater than or equal to 1.");
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}
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_period = period;
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Name = "Dema";
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double percentile = 0.85; //targeting 85th percentile of correctness of converging EMA
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WarmupPeriod = (int)Math.Ceiling(-period * Math.Log(1 - percentile));
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Init();
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}
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public Dema(object source, int period) : this(period)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
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}
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//inhereted public void Sub(object source, in ValueEventArgs args)
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public override void Init()
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{
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base.Init();
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_k = 2.0 / (_period + 1);
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_e = 1.0;
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_lastEma1 = 0;
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_lastEma2 = 0;
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}
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_p_lastEma1 = _lastEma1;
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_p_lastEma2 = _lastEma2;
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_p_e = _e;
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_index++;
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}
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else
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{
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_lastEma1 = _p_lastEma1;
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_lastEma2 = _p_lastEma2;
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_e = _p_e;
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}
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}
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/// <summary>
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/// Core DEMA calculation
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/// </summary>
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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double result, _ema1, _ema2;
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// dynamic k when within period; (index is zero-based, therefore +2)
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//double _dk = (_index + 1 >= _period) ? _k : 2.0 / (_index + 2);
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// compensator for early ema values
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_e = (_e > 1e-10) ? (1 - _k) * _e : 0;
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double _invE = (_e > 1e-10) ? 1 / (1 - _e) : 1;
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// Calculate EMA1
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_ema1 = _k * (Input.Value - _lastEma1) + _lastEma1;
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// Calculate EMA2 using compensatedEma1
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_ema2 = _k * (_ema1 * _invE - _lastEma2) + _lastEma2;
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// Calculate DEMA
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double _dema = 2 * _ema1 * _invE - (_ema2 * _invE);
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result = _dema;
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_lastEma1 = _ema1;
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_lastEma2 = _ema2;
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IsHot = _index >= WarmupPeriod;
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return result;
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}
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}
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