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namespace QuanTAlib;
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using System;
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/* <summary>
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EMA: Exponential Moving Average
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EMA needs very short history buffer and calculates the EMA value using just the
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previous EMA value. The weight of the new datapoint (k) is k = 2 / (period-1)
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Sources:
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https://stockcharts.com/school/doku.php?id=chart_school:technical_indicators:moving_averages
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https://www.investopedia.com/ask/answers/122314/what-exponential-moving-average-ema-formula-and-how-ema-calculated.asp
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https://blog.fugue88.ws/archives/2017-01/The-correct-way-to-start-an-Exponential-Moving-Average-EMA
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Issues:
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There is no consensus what the first EMA value should be - a zero, a first
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datapoint, or an average of the initial Period bars. All three starting methods
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converge within 20+ bars to the same moving average. Most implementations (including this one)
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use SMA() for the first Period bars as a seeding value for EMA.
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</summary> */
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public class EMA_Series : Single_TSeries_Indicator
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{
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private readonly System.Collections.Generic.List<double> _buffer = new();
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private readonly double _k, _k1m;
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private double _lastema, _lastlastema;
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public EMA_Series(TSeries source, int period, bool useNaN = false) : base(source, period, useNaN)
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{
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this._k = 2.0 / (this._p + 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 (this._data.Count > 0) { base.Add(this._data); }
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}
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public override void Add((DateTime t, double v) d, bool update = false)
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{
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double _ema = 0;
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if (update) { this._lastema = this._lastlastema; }
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if (this.Count < this._p)
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{
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if (update) { this._buffer[this._buffer.Count - 1] = d.v; }
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else
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{
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this._buffer.Add(d.v);
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}
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if (this._buffer.Count > this._p) { this._buffer.RemoveAt(0); }
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for (int i = 0; i < this._buffer.Count; i++) { _ema += this._buffer[i]; }
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_ema /= this._buffer.Count;
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}
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else
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{
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_ema = d.v * this._k + this._lastema * this._k1m;
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}
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this._lastlastema = this._lastema;
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this._lastema = _ema;
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var ret = (d.t, this.Count < this._p - 1 && this._NaN ? double.NaN : _ema);
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base.Add(ret, update);
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}
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}
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