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namespace QuanTAlib;
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using System;
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/* <summary>
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ZLEMA: Zero Lag Exponential Moving Average
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The Zero lag exponential moving average (ZLEMA) indicator was created by John
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Ehlers and Ric Way.
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The formula for a given N-Day period and for a given Data series is:
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Lag = (Period-1)/2
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Ema Data = {Data+(Data-Data(Lag days ago))
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ZLEMA = EMA (EmaData,Period)
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Remark:
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The idea is do a regular exponential moving average (EMA) calculation but on a
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de-lagged data instead of doing it on the regular data. Data is de-lagged by
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removing the data from "lag" days ago thus removing (or attempting to remove)
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the cumulative lag effect of the moving average.
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</summary> */
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public class ZLEMA_Series : Single_TSeries_Indicator
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{
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private readonly double _k, _k1m;
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private double _lastema, _lastlastema;
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public ZLEMA_Series(TSeries source, int period, bool useNaN = false) : base(source, period, useNaN)
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{
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this._k = 2.0 / (double)(period + 1);
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this._k1m = 1.0 - this._k;
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this._lastema = this._lastlastema = double.NaN;
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if (base._data.Count > 0) { base.Add(base._data); }
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}
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public override void Add((System.DateTime t, double v) d, bool update)
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{
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if (update)
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{
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this._lastema = this._lastlastema;
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}
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int _lag = (int)(0.5 * (_p - 1));
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int _l = Math.Max(this._data.Count - _lag, 0);
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double _lagdata = 1 * d.v - this._data[_l].v;
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double _ema = System.Double.IsNaN(this._lastema) ? _lagdata : _lagdata * this._k + this._lastema * this._k1m;
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this._lastlastema = this._lastema;
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this._lastema = _ema;
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(System.DateTime t, double v) result =
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(d.t, (this.Count < this._p - 1 && this._NaN) ? double.NaN : _ema);
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base.Add(result, update);
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}
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}
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