diff --git a/Source/Feeds/GBM_Feed.cs b/Source/Feeds/GBM_Feed.cs
index 0adcde1d..e83e6b46 100644
--- a/Source/Feeds/GBM_Feed.cs
+++ b/Source/Feeds/GBM_Feed.cs
@@ -22,10 +22,12 @@ public class GBM_Feed : TBars
 {
     private double seed;
     readonly double drift, volatility;
-    public GBM_Feed(int Bars = 252, double Volatility = 1.0, double Drift = 0.05, double Seed = 100.0) {
+    readonly int precision;
+    public GBM_Feed(int Bars = 252, double Volatility = 1.0, double Drift = 0.05, double Seed = 100.0, int Precision = 2) {
         this.seed = Seed;
         volatility = Volatility*0.01;
         drift = Drift*0.01;
+        precision = Precision;
         for (int i = 0; i <Bars; i++) {
             DateTime Timestamp = DateTime.Today.AddDays(i - Bars);
             this.Add(Timestamp);
@@ -33,28 +35,28 @@ public class GBM_Feed : TBars
     }
 
     public void Add(DateTime timestamp, bool update = false) {
-        double Open = GBM_value(seed, volatility*volatility, drift);
-        double Close = GBM_value(Open, volatility, drift);
+        double Open = GBM_value(seed, volatility*volatility, drift, precision);
+        double Close = GBM_value(Open, volatility, drift, precision);
 
         double OCMax = Math.Max(Open,Close);
-        double High = (GBM_value(seed, volatility*0.5, 0));
+        double High = (GBM_value(seed, volatility*0.5, 0, precision));
         High = (High<OCMax)? (2 * OCMax) - High : High;
 
         double OCMin = Math.Min(Open,Close);
-        double Low = (GBM_value(seed, volatility*0.5, 0));
+        double Low = (GBM_value(seed, volatility*0.5, 0, precision));
         Low = (Low>OCMin)? (2 * OCMin) - Low : Low;
 
-        double Volume = GBM_value(seed*10, volatility*2, Drift:0);
+        double Volume = GBM_value(seed*10, volatility*2, Drift:0, precision: 1);
 
         base.Add((timestamp, Open, High, Low, Close, Volume), update);
         seed = Close;
     }
 
-    private static double GBM_value (double Seed, double Volatility, double Drift) {
+    private static double GBM_value(double Seed, double Volatility, double Drift, int precision) {
         Random rnd = new();
         double U1 = 1.0-rnd.NextDouble();
         double U2 = 1.0-rnd.NextDouble();
         double Z = Math.Sqrt(-2.0 * Math.Log(U1)) * Math.Sin(2.0 * Math.PI * U2);
-        return Seed * Math.Exp( Drift - (Volatility*Volatility*0.5) + (Volatility * Z));
+        return Math.Round(Seed * Math.Exp( Drift - (Volatility*Volatility*0.5) + (Volatility * Z)), digits: precision);
     }
 }
\ No newline at end of file
diff --git a/Source/Trends/DEMA_Series.cs b/Source/Trends/DEMA_Series.cs
index 8a7d8e92..cb165726 100644
--- a/Source/Trends/DEMA_Series.cs
+++ b/Source/Trends/DEMA_Series.cs
@@ -1,6 +1,7 @@
 namespace QuanTAlib;
 using System;
 using System.Linq;
+using System.Runtime.CompilerServices;
 
 /* <summary>
 DEMA: Double Exponential Moving Average
@@ -18,15 +19,15 @@ Remark:
 
 public class DEMA_Series : Single_TSeries_Indicator
 {
-    private readonly System.Collections.Generic.List<double> _buffer = new();
-    private readonly double _k, _k1m;
+    private readonly System.Collections.Generic.List<double> _buffer1 = new();
+    private readonly System.Collections.Generic.List<double> _buffer2 = new();
+    private readonly double _k;
     private double _lastema1, _lastlastema1;
     private double _lastema2, _lastlastema2;
 
     public DEMA_Series(TSeries source, int period, bool useNaN = false) : base(source, period, useNaN)
     {
-        this._k = 2.0 / (this._p + 1);
-        this._k1m = 1.0 - this._k;
+        _k = 2.0 / (_p + 1);
         if (_data.Count > 0) { base.Add(_data); }
     }
 
@@ -34,26 +35,40 @@ public class DEMA_Series : Single_TSeries_Indicator
     {
         if (update)
         {
-            this._lastema1 = this._lastlastema1;
-            this._lastema2 = this._lastlastema2;
+            _lastema1 = _lastlastema1;
+            _lastema2 = _lastlastema2;
         }
 
-        double _ema1, _ema2;
-
-        if (this.Count < this._p)
+        double _ema1, _ema2, _dema;
+        if (this.Count < _p)
         {
-            Add_Replace_Trim(_buffer, TValue.v, _p, update);
-            double _sma = _buffer.Average();
+            Add_Replace_Trim(_buffer1, TValue.v, _p, update);
+            _ema1 = 0;
+            for (int i=0; i<_buffer1.Count; i++) { _ema1 += _buffer1[i]; }
+            _ema1 /= _buffer1.Count;
 
-            _ema1 = _ema2 = _sma;
+            Add_Replace_Trim(_buffer2, _ema1, _p, update);
+            _ema2 = 0;
+            for (int i = 0; i < _buffer2.Count; i++) { _ema2 += _buffer2[i]; }
+            _ema2 /= _buffer2.Count;
         }
-        else
+        else if(this.Count < (2*_p - 1)) // second _p
         {
-            _ema1 = (TValue.v * this._k) + (this._lastema1 * this._k1m);
-            _ema2 = (_ema1 * this._k) + (this._lastema2 * this._k1m);
-        }
+            _ema1 = (TValue.v - _lastema1) * _k + _lastema1;
+
+            Add_Replace_Trim(_buffer2, _ema1, _p, update);
+            _ema2 = 0;
+            for (int i = 0; i < _buffer2.Count; i++) { _ema2 += _buffer2[i]; }
+            _ema2 /= _buffer2.Count; 
+        }
+        else // all others
+        {
+            _ema1 = (TValue.v - _lastema1) * _k + _lastema1;
+            _ema2 = (_ema1 - _lastema2) * _k + _lastema2;
+            
+        }
+        _dema = 2*_ema1 - _ema2;
 
-        double _dema = (2 * _ema1) - _ema2;
         this._lastlastema1 = this._lastema1;
         this._lastlastema2 = this._lastema2;
         this._lastema1 = _ema1;
@@ -61,4 +76,4 @@ public class DEMA_Series : Single_TSeries_Indicator
 
         base.Add((TValue.t, _dema), update, _NaN);
     }
-}
+}
\ No newline at end of file
diff --git a/Source/Trends/EMA_Series.cs b/Source/Trends/EMA_Series.cs
index aae20c2a..62406c43 100644
--- a/Source/Trends/EMA_Series.cs
+++ b/Source/Trends/EMA_Series.cs
@@ -42,7 +42,9 @@ public class EMA_Series : Single_TSeries_Indicator
         if (this.Count < this._p)
         {
             Add_Replace(_buffer, TValue.v, update);
-            _ema = _buffer.Average();
+            _ema = 0;
+            for (int i = 0; i < _buffer.Count; i++) { _ema += _buffer[i]; }
+            _ema /= _buffer.Count;
         }
         else
         {
diff --git a/Source/Trends/SMA_Series.cs b/Source/Trends/SMA_Series.cs
index 1f07a088..f779e746 100644
--- a/Source/Trends/SMA_Series.cs
+++ b/Source/Trends/SMA_Series.cs
@@ -28,7 +28,9 @@ public class SMA_Series : Single_TSeries_Indicator
     public override void Add((System.DateTime t, double v) TValue, bool update)
     {
         Add_Replace_Trim(_buffer, TValue.v, _p, update);
-        double _sma = _buffer.Sum() / _buffer.Count;
+        double _sma = 0;
+        for (int i=0; i<_buffer.Count; i++) { _sma+= _buffer[i]; }
+        _sma /= _buffer.Count;
 
         base.Add((TValue.t, _sma), update, _NaN);
     }
diff --git a/Source/Volatility/ADOSC_Series.cs b/Source/Volatility/ADOSC_Series.cs
index f8f219d0..a021bb01 100644
--- a/Source/Volatility/ADOSC_Series.cs
+++ b/Source/Volatility/ADOSC_Series.cs
@@ -13,6 +13,47 @@ Sources:
 
 </summary> */
 
+
+public class ADOSC_Series : Single_TBars_Indicator
+{
+    private readonly double _k1, _k2;
+    private double _lastema1, _lastlastema1, _lastema2, _lastlastema2;
+    private double _lastadl, _lastlastadl;
+
+    public ADOSC_Series(TBars source, bool useNaN = false) : base(source, period: 0, useNaN)
+	{
+        _k1 = 2.0 / (3 + 1);
+        _k2 = 2.0 / (10 + 1);
+        _lastadl = _lastlastadl = _lastema1 = _lastlastema1 = _lastema2 = _lastlastema2 = 0;
+        if (_bars.Count > 0) { base.Add(_bars); }
+    }
+
+	public override void Add((DateTime t, double o, double h, double l, double c, double v) TBar, bool update)
+	{
+        if (update) { 
+			_lastadl = _lastlastadl;
+			_lastema1 = _lastlastema1;
+            _lastema2 = _lastlastema2;
+        }
+
+        double _adl = 0;
+        double tmp = TBar.h - TBar.l;
+        if (tmp > 0.0) { _adl = _lastadl + ((2 * TBar.c - TBar.l - TBar.h) / tmp * TBar.v); }
+        if (this.Count == 0) { _lastema1 = _lastema2 = _adl;  }
+
+		double  _ema1 = (_adl - _lastema1) * _k1 + _lastema1;
+        double _ema2 = (_adl - _lastema2) * _k2 + _lastema2;
+
+        _lastlastadl = _lastadl; _lastadl = _adl;
+        _lastlastema1 = _lastema1; _lastema1 = _ema1;
+        _lastlastema2 = _lastema2; _lastema2 = _ema2;
+
+        double _adosc = _ema1 - _ema2;
+        base.Add((TBar.t, _adosc), update, _NaN);
+    }
+	
+}
+/*
 public class ADOSC_Series : Single_TBars_Indicator
 {
 	private readonly ADL_Series _TSadl;
@@ -42,4 +83,5 @@ public class ADOSC_Series : Single_TBars_Indicator
 		var result = (TBar.t, _ado);
 		base.Add(result, update);
 	}
-}
\ No newline at end of file
+}
+*/
\ No newline at end of file
diff --git a/Tests/Validations/Pandas_TA.cs b/Tests/Validations/Pandas_TA.cs
index 2a971df5..4225dea4 100644
--- a/Tests/Validations/Pandas_TA.cs
+++ b/Tests/Validations/Pandas_TA.cs
@@ -53,151 +53,302 @@ public class PandasTA : IDisposable
 	[Fact] void ADL() {
 		ADL_Series QL = new(bars);
 		var pta = df.ta.ad(high: df.high, low: df.low, close:df.close, volume:df.volume);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
+		for (int i = QL.Length; i > 0; i--)
+		{
+            double QL_item = Math.Round(QL[i-1].v, digits: digits);
+			double PanTA_item = Math.Round((double)pta[i-1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+		}
 	}
 	[Fact] void ADOSC() {
 		ADOSC_Series QL = new(bars);
 		var pta = df.ta.adosc(high: df.high, low: df.low, close: df.close, volume: df.volume);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
     [Fact] void ATR() {
 		ATR_Series QL = new(bars, period);
 		var pta = df.ta.atr(high: df.high, low: df.low, close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void BIAS() {
 		BIAS_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.bias(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void DEMA() {
 		DEMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.dema(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void EMA() {
 		EMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.ema(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void ENTROPY() {
 		ENTROPY_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.entropy(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period+1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void HL2() {
 		var pta = df.ta.hl2(high: df.high, low: df.low);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(bars.HL2.Last().v, digits: digits));
+        for (int i = bars.HL2.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(bars.HL2[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
 	}
 	[Fact] void HLC3() {
 		var pta = df.ta.hlc3(high: df.high, low: df.low, close: df.close);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(bars.HLC3.Last().v, digits: digits));
-	}
+        for (int i = bars.HLC3.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(bars.HLC3[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
     [Fact] void HMA() {
 		HMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.hma(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length; i > period+1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+        
 	}
     [Fact] void KAMA() {
         KAMA_Series QL = new(bars.Close, period);
         var pta = df.ta.kama(close: df.close, length: period);
-        Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
     }
 	[Fact] void KURTOSIS() {
 		KURTOSIS_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.kurtosis(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period+1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void MAD()
 	{
 		MAD_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.mad(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void MEDIAN() {
 		MEDIAN_Series QL = new(bars.Close, period);
 		var pta = df.ta.median(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
     [Fact] void OBV() {
         OBV_Series QL = new(bars);
         var pta = df.ta.obv(close: df.close, volume: df.volume);
-        Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
     }
 	[Fact] void OHLC4() {
 		var pta = df.ta.ohlc4(open: df.open, high: df.high, low: df.low, close: df.close);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(bars.OHLC4.Last().v, digits: digits));
+        for (int i = bars.OHLC4.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(bars.OHLC4[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
 	}
 	[Fact] void RMA() {
 		RMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.rma(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void RSI() {
 		RSI_Series QL = new(bars.Close, period);
 		var pta = df.ta.rsi(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void SDEV()	{
 		SDEV_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.stdev(close: df.close, length: period, ddof: 0);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void SMA() {
 		SMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.sma(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void SSDEV() {
 		SSDEV_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.stdev(close: df.close, length: period, ddof: 1);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void SVARIANCE() {
 		SVAR_Series QL = new(bars.Close, period);
 		var pta = df.ta.variance(close: df.close, length: period, ddof: 1);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
     [Fact] void T3() {
         T3_Series QL = new(source: bars.Close, period: period, vfactor: 0.7, useNaN: false);
         var pta = df.ta.t3(close: df.close, length: period, a: 0.7);
-        Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
         }
+    }
     [Fact] void TEMA() {
 		TEMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.tema(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void TR() {
 		TR_Series QL = new(bars);
 		var pta = df.ta.true_range(high: df.high, low: df.low, close: df.close);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void TRIMA() {
     // TODO: return length to variable length (period) when Pandas-TA fixes trima to calculate even periods right
 		TRIMA_Series QL = new(bars.Close, 11);
 		var pta = df.ta.trima(close: df.close, length: 11);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void VARIANCE()	{
 		VAR_Series QL = new(bars.Close, period);
 		var pta = df.ta.variance(close: df.close, length: period, ddof:0);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void WMA() {
 		WMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.wma(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void ZLEMA() {
 		ZLEMA_Series QL = new(bars.Close, period, false);
 		var pta = df.ta.zlma(close: df.close, length: period);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 	[Fact] void ZSCORE() {
 		ZSCORE_Series QL = new(bars.Close, period, useNaN: false);
 		var pta = df.ta.zscore(close: df.close, length: period, ddof: 0);
-		Assert.Equal(Math.Round((double)pta.tail(1), digits: digits), Math.Round(QL.Last().v, digits: digits));
-	}
+        for (int i = QL.Length; i > period-1; i--)
+        {
+            double QL_item = Math.Round(QL[i - 1].v, digits: digits);
+            double PanTA_item = Math.Round((double)pta[i - 1], digits: digits);
+            Assert.Equal(PanTA_item, QL_item);
+        }
+    }
 
 }
\ No newline at end of file
diff --git a/Tests/Validations/Skender_Stock.cs b/Tests/Validations/Skender_Stock.cs
index 63a07573..efd8fbd4 100644
--- a/Tests/Validations/Skender_Stock.cs
+++ b/Tests/Validations/Skender_Stock.cs
@@ -11,9 +11,9 @@ public class Skender_Stock {
     private readonly IEnumerable<Quote> quotes;
 
     public Skender_Stock() {
-        bars = new(Bars: 10000, Volatility: 0.8, Drift: 0.0);
+        bars = new(Bars: 10000, Volatility: 0.5, Drift: 0.0, Precision: 2);
         period = rnd.Next(30) + 5;
-        digits = 2; //minimizing rounding errors in type conversions
+        digits = 4; //minimizing rounding errors in type conversions
 
         quotes = bars.Select(q => new Quote {
             Date = q.t,
@@ -174,7 +174,7 @@ public class Skender_Stock {
         // TODO: check precision of KAMA()
         KAMA_Series QL = new(bars.Close, period, useNaN: false);
         var SK = quotes.GetKama(period).Select(i => i.Kama.Null2NaN()!);
-        for (int i = QL.Length; i > 500; i--)
+        for (int i = QL.Length; i > 600; i--)
         {
             double QL_item = Math.Round(QL[i - 1].v, digits: digits);
             double SK_item = Math.Round(SK.ElementAt(i - 1), digits: digits);
@@ -355,7 +355,7 @@ public class Skender_Stock {
     [Fact] public void TR() {
         TR_Series QL = new(bars, useNaN: false);
         var SK = quotes.GetTr().Select(i => i.Tr.Null2NaN()!);
-        for (int i = QL.Length; i > period; i--)
+        for (int i = QL.Length; i > 1; i--)
         {
             double QL_item = Math.Round(QL[i - 1].v, digits: digits);
             double SK_item = Math.Round(SK.ElementAt(i - 1), digits: digits);
diff --git a/Tests/Validations/TA_LIB.cs b/Tests/Validations/TA_LIB.cs
index e6e87b71..8fb360b5 100644
--- a/Tests/Validations/TA_LIB.cs
+++ b/Tests/Validations/TA_LIB.cs
@@ -18,7 +18,7 @@ public class Ta_Lib
     private readonly double[] involume;
 
     public Ta_Lib() {
-        bars = new(Bars: 5000, Volatility: 0.8, Drift: 0.0);
+        bars = new(Bars: 5000, Volatility: 0.8, Drift: 0.0, Precision: 3);
         period = rnd.Next(28) + 3;
         digits = 6; 
 
@@ -34,22 +34,42 @@ public class Ta_Lib
     [Fact] public void ADD() {
         ADD_Series QL = new(bars.Open, bars.Close);
         Core.Add(inopen, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void ADL() {
         ADL_Series QL = new(bars, false);
         Core.Ad(inhigh, inlow, inclose, involume, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length-1; i > 0; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void ADOSC() {
         ADOSC_Series QL = new(bars, false);
         Core.AdOsc(inhigh, inlow, inclose, involume, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void ATR() {
         ATR_Series QL = new(bars, period, false);
         Core.Atr(inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void BBANDS() {
         double[] outMiddle = new double[bars.Count];
@@ -57,6 +77,18 @@ public class Ta_Lib
         double[] outLower = new double[bars.Count];
         BBANDS_Series QL = new(bars.Close, period: 26, multiplier: 2.0, false);
         Core.Bbands(inclose, 0, bars.Count - 1, outRealUpperBand: outUpper, outRealMiddleBand: outMiddle, outRealLowerBand: outLower, out int outBegIdx, out _, optInTimePeriod: 26, optInNbDevUp: 2.0, optInNbDevDn: 2.0);
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL.Upper[i].v, digits: digits);
+            double TA_item = Math.Round(outUpper[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+            QL_item = Math.Round(QL.Mid[i].v, digits: digits);
+            TA_item = Math.Round(outMiddle[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+            QL_item = Math.Round(QL.Lower[i].v, digits: digits);
+            TA_item = Math.Round(outLower[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
         Assert.Equal(Math.Round(outUpper[outUpper.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Upper.Last().v, digits: digits));
         Assert.Equal(Math.Round(outMiddle[outMiddle.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Mid.Last().v, digits: digits));
         Assert.Equal(Math.Round(outLower[outLower.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Lower.Last().v, digits: digits));
@@ -64,145 +96,287 @@ public class Ta_Lib
     [Fact] public void CCI() {
         CCI_Series QL = new(bars, period, false);
         Core.Cci(inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void CORR() {
         CORR_Series QL = new(bars.Open, bars.Close, period);
         Core.Correl(inopen, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, optInTimePeriod: period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void DEMA() {
         DEMA_Series QL = new(bars.Close, period, false);
         Core.Dema(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void DIV() {
         DIV_Series QL = new(bars.Open, bars.Close);
         Core.Div(inopen, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void EMA() {
         EMA_Series QL = new(bars.Close, period, false);
         Core.Ema(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void HL2() {
         TSeries QL = bars.HL2;
         Core.MedPrice(inhigh, inlow, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void HLC3() {
         TSeries QL = bars.HLC3;
         Core.TypPrice(inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void HLCC4() {
         TSeries QL = bars.HLCC4;
         Core.WclPrice(inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MACD() {
         double[] macdSignal = new double[bars.Count];
         double[] macdHist = new double[bars.Count];
         MACD_Series QL = new(bars.Close, slow: 26, fast: 12, signal: 9, false);
         Core.Macd(inclose, 0, bars.Count - 1, outMacd: TALIB, outMacdSignal: macdSignal, outMacdHist: macdHist, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
-        Assert.Equal(Math.Round(macdSignal[macdSignal.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Signal.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+            QL_item = Math.Round(QL.Signal[i].v, digits: digits);
+            TA_item = Math.Round(macdSignal[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MAMA() {
         MAMA_Series QL = new(bars.Close, fastlimit: 0.5, slowlimit: 0.05);
         Core.Mama(inReal: inclose, startIdx: 0, endIdx: bars.Count - 1, outMama: TALIB, outFama: TALIB2, outBegIdx: out int outBegIdx, outNbElement: out _, optInFastLimit: 0.5, optInSlowLimit: 0.05);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MAX() {
         MAX_Series QL = new(bars.Close, period, false);
         Core.Max(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MIDPOINT() {
         MIDPOINT_Series QL = new(bars.Close, period, false);
         Core.MidPoint(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MIDPRICE() {
         MIDPRICE_Series QL = new(bars, period, false);
         Core.MidPrice(inhigh, inlow, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MIN() {
         MIN_Series QL = new(bars.Close, period, false);
         Core.Min(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void MUL() {
         MUL_Series QL = new(bars.Open, bars.Close);
         Core.Mult(inopen, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void OBV() {
         OBV_Series QL = new(bars, period, false);
         Core.Obv(inclose, involume, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void OHLC4() {
         TSeries QL = bars.OHLC4;
         Core.AvgPrice(inopen, inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void RSI() {
         RSI_Series QL = new(bars.Close, period, false);
         Core.Rsi(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void SDEV() {
         SDEV_Series QL = new(bars.Close, period, false);
         Core.StdDev(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void SMA() {
         SMA_Series QL = new(bars.Close, period, false);
         Core.Sma(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void SUB() {
         SUB_Series QL = new(bars.Open, bars.Close);
         Core.Sub(inopen, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void SUM() {
         SUM_Series QL = new(bars.Close, period, false);
         Core.Sum(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void T3() {
         T3_Series QL = new(source: bars.Close, period: period, vfactor:0.7, useNaN: false);
         Core.T3(inReal: inclose, startIdx: 0, endIdx: bars.Count - 1, outReal: TALIB, outBegIdx: out int outBegIdx, outNbElement: out _, optInTimePeriod: period, optInVFactor: 0.7);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void TEMA() {
         TEMA_Series QL = new(bars.Close, period, false);
         Core.Tema(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void TR() {
         TR_Series QL = new(bars, false);
         Core.TRange(inhigh, inlow, inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void TRIMA() {
         TRIMA_Series QL = new(bars.Close, period, false);
         Core.Trima(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void VAR() {
         VAR_Series QL = new(bars.Close, period, false);
         Core.Var(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
     [Fact] public void WMA() {
         WMA_Series QL = new(bars.Close, period, false);
         Core.Wma(inclose, 0, bars.Count - 1, TALIB, out int outBegIdx, out _, period);
-        Assert.Equal(Math.Round(TALIB[TALIB.Length - outBegIdx - 1], digits: digits), Math.Round(QL.Last().v, digits: digits));
+        for (int i = QL.Length - 1; i > outBegIdx; i--)
+        {
+            double QL_item = Math.Round(QL[i].v, digits: digits);
+            double TA_item = Math.Round(TALIB[i - outBegIdx], digits: digits);
+            Assert.Equal(TA_item!, QL_item);
+        }
     }
 
 }
diff --git a/docs/comparing trends.ipynb b/docs/comparing trends.ipynb
new file mode 100644
index 00000000..ae2cbc6c
--- /dev/null
+++ b/docs/comparing trends.ipynb	
@@ -0,0 +1,137 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "dotnet_interactive": {
+     "language": "csharp"
+    },
+    "vscode": {
+     "languageId": "dotnet-interactive.csharp"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div><div></div><div></div><div></div></div>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "Loading extensions from `C:\\Users\\miha\\.nuget\\packages\\plotly.net.interactive\\3.0.2\\interactive-extensions\\dotnet\\Plotly.NET.Interactive.dll`"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "//#r \"nuget: QuanTAlib;\"\n",
+    "\n",
+    "#r \"nuget: Plotly.NET;\"\n",
+    "#r \"nuget: Plotly.NET.Interactive;\"\n",
+    "#r \"..\\Source\\bin\\Debug\\net6.0\\QuanTAlib.dll\"\n",
+    "\n",
+    "using QuanTAlib;\n",
+    "using Plotly.NET;\n",
+    "using Plotly.NET.LayoutObjects;"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "dotnet_interactive": {
+     "language": "csharp"
+    },
+    "vscode": {
+     "languageId": "dotnet-interactive.csharp"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<div>\n",
+       "    <div id=\"962c4ba9-2a84-42ad-98c3-703f45d5e121\"><!-- Plotly chart will be drawn inside this DIV --></div>\r\n",
+       "<script type=\"text/javascript\">\r\n",
+       "\r\n",
+       "            var renderPlotly_962c4ba92a8442ad98c3703f45d5e121 = function() {\r\n",
+       "            var fsharpPlotlyRequire = requirejs.config({context:'fsharp-plotly',paths:{plotly:'https://cdn.plot.ly/plotly-2.6.3.min'}}) || require;\r\n",
+       "            fsharpPlotlyRequire(['plotly'], function(Plotly) {\r\n",
+       "\r\n",
+       "            var data = [{\"type\":\"scatter\",\"name\":\"TSeries\",\"mode\":\"lines\",\"x\":[\"2022-10-02T00:00:00-07:00\",\"2022-10-03T00:00:00-07:00\",\"2022-10-04T00:00:00-07:00\",\"2022-10-05T00:00:00-07:00\",\"2022-10-06T00:00:00-07:00\",\"2022-10-07T00:00:00-07:00\",\"2022-10-08T00:00:00-07:00\",\"2022-10-09T00:00:00-07:00\",\"2022-10-10T00:00:00-07:00\",\"2022-10-11T00:00:00-07:00\",\"2022-10-12T00:00:00-07:00\",\"2022-10-13T00:00:00-07:00\",\"2022-10-14T00:00:00-07:00\",\"2022-10-15T00:00:00-07:00\",\"2022-10-16T00:00:00-07:00\",\"2022-10-17T00:00:00-07:00\",\"2022-10-18T00:00:00-07:00\",\"2022-10-19T00:00:00-07:00\",\"2022-10-20T00:00:00-07:00\",\"2022-10-21T00:00:00-07:00\",\"2022-10-22T00:00:00-07:00\",\"2022-10-23T00:00:00-07:00\",\"2022-10-24T00:00:00-07:00\",\"2022-10-25T00:00:00-07:00\",\"2022-10-26T00:00:00-07:00\",\"2022-10-27T00:00:00-07:00\",\"2022-10-28T00:00:00-07:00\",\"2022-10-29T00:00:00-07:00\",\"2022-10-30T00:00:00-07:00\",\"2022-10-31T00:00:00-07:00\",\"2022-11-01T00:00:00-07:00\",\"2022-11-02T00:00:00-07:00\",\"2022-11-03T00:00:00-07:00\",\"2022-11-04T00:00:00-07:00\",\"2022-11-05T00:00:00-07:00\",\"2022-11-06T00:00:00-07:00\",\"2022-11-07T00:00:00-08:00\",\"2022-11-08T00:00:00-08:00\",\"2022-11-09T00:00:00-08:00\",\"2022-11-10T00:00:00-08:00\",\"2022-11-11T00:00:00-08:00\",\"2022-11-12T00:00:00-08:00\",\"2022-11-13T00:00:00-08:00\",\"2022-11-14T00:00:00-08:00\",\"2022-11-15T00:00:00-08:00\",\"2022-11-16T00:00:00-08:00\",\"2022-11-17T00:00:00-08:00\",\"2022-11-18T00:00:00-08:00\",\"2022-11-19T00:00:00-08:00\",\"2022-11-20T00:00:00-08:00\"],\"y\":[100.32347458435882,101.54156680190876,102.44460177741148,102.68134101395528,102.90703954051875,102.22218974495196,101.43717558102097,101.14339741875722,102.6105272974295,103.65021639595955,103.77244362510633,102.03217071889168,100.95960056905396,101.82716864075812,102.03608780622523,101.89749556240788,102.05027651788346,101.89296662244362,102.71278122024542,103.56689298536428,103.9354438863785,103.24510354729804,102.76477917952552,101.90095530425728,101.47329595293144,102.67539644303456,102.67689188308368,102.07205981055867,101.91579337759124,102.34912306155965,103.80939489667225,105.54575716201366,106.52047349743614,106.82928565900164,107.24070967911489,106.51634155110602,105.58402408515623,105.00786537536857,106.0160312037631,106.96286899929171,106.47676587167781,106.10170572188973,106.96937029511614,107.62634022789082,107.27961111806637,108.41831762658114,107.53735531695195,108.03977481595943,107.54241266929029,107.40686186037536],\"marker\":{},\"line\":{\"color\":\"red\",\"width\":4.0}},{\"type\":\"scatter\",\"name\":\"EMA_SMA\",\"mode\":\"lines\",\"x\":[\"2022-10-02T00:00:00-07:00\",\"2022-10-03T00:00:00-07:00\",\"2022-10-04T00:00:00-07:00\",\"2022-10-05T00:00:00-07:00\",\"2022-10-06T00:00:00-07:00\",\"2022-10-07T00:00:00-07:00\",\"2022-10-08T00:00:00-07:00\",\"2022-10-09T00:00:00-07:00\",\"2022-10-10T00:00:00-07:00\",\"2022-10-11T00:00:00-07:00\",\"2022-10-12T00:00:00-07:00\",\"2022-10-13T00:00:00-07:00\",\"2022-10-14T00:00:00-07:00\",\"2022-10-15T00:00:00-07:00\",\"2022-10-16T00:00:00-07:00\",\"2022-10-17T00:00:00-07:00\",\"2022-10-18T00:00:00-07:00\",\"2022-10-19T00:00:00-07:00\",\"2022-10-20T00:00:00-07:00\",\"2022-10-21T00:00:00-07:00\",\"2022-10-22T00:00:00-07:00\",\"2022-10-23T00:00:00-07:00\",\"2022-10-24T00:00:00-07:00\",\"2022-10-25T00:00:00-07:00\",\"2022-10-26T00:00:00-07:00\",\"2022-10-27T00:00:00-07:00\",\"2022-10-28T00:00:00-07:00\",\"2022-10-29T00:00:00-07:00\",\"2022-10-30T00:00:00-07:00\",\"2022-10-31T00:00:00-07:00\",\"2022-11-01T00:00:00-07:00\",\"2022-11-02T00:00:00-07:00\",\"2022-11-03T00:00:00-07:00\",\"2022-11-04T00:00:00-07:00\",\"2022-11-05T00:00:00-07:00\",\"2022-11-06T00:00:00-07:00\",\"2022-11-07T00:00:00-08:00\",\"2022-11-08T00:00:00-08:00\",\"2022-11-09T00:00:00-08:00\",\"2022-11-10T00:00:00-08:00\",\"2022-11-11T00:00:00-08:00\",\"2022-11-12T00:00:00-08:00\",\"2022-11-13T00:00:00-08:00\",\"2022-11-14T00:00:00-08:00\",\"2022-11-15T00:00:00-08:00\",\"2022-11-16T00:00:00-08:00\",\"2022-11-17T00:00:00-08:00\",\"2022-11-18T00:00:00-08:00\",\"2022-11-19T00:00:00-08:00\",\"2022-11-20T00:00:00-08:00\"],\"y\":[100.32347458435882,100.9325206931338,101.43654772122636,101.74774604440859,101.97960474363063,102.02003557718417,101.93676986344657,101.8375983078604,101.92347930670141,102.09615301562722,102.24854307103442,102.23051204168918,102.13274962071725,102.11092240786301,102.10593343442049,102.0929060674197,102.09039844685876,102.07943001216901,102.1127642862783,102.1854707212326,102.26880277671573,102.31318008446948,102.3328148277328,102.31482068092133,102.28115969180173,102.31148559574272,102.33959377169204,102.31901423622024,102.28799724709494,102.292699232823,102.40936813004217,102.6506288248092,102.94830918424205,103.24684583614663,103.55406613175958,103.78193347170931,103.92055582658985,104.00419502264975,104.15895165196618,104.37463760176045,104.53633977636949,104.6567525414095,104.83464621477155,105.04939190808842,105.2209472319329,105.46689880075199,105.62616468661354,105.81182700425553,105.94494897848898,106.05740381555718],\"marker\":{},\"line\":{\"color\":\"purple\",\"width\":2.0}},{\"type\":\"scatter\",\"name\":\"True EMA\",\"mode\":\"lines\",\"x\":[\"2022-10-02T00:00:00-07:00\",\"2022-10-03T00:00:00-07:00\",\"2022-10-04T00:00:00-07:00\",\"2022-10-05T00:00:00-07:00\",\"2022-10-06T00:00:00-07:00\",\"2022-10-07T00:00:00-07:00\",\"2022-10-08T00:00:00-07:00\",\"2022-10-09T00:00:00-07:00\",\"2022-10-10T00:00:00-07:00\",\"2022-10-11T00:00:00-07:00\",\"2022-10-12T00:00:00-07:00\",\"2022-10-13T00:00:00-07:00\",\"2022-10-14T00:00:00-07:00\",\"2022-10-15T00:00:00-07:00\",\"2022-10-16T00:00:00-07:00\",\"2022-10-17T00:00:00-07:00\",\"2022-10-18T00:00:00-07:00\",\"2022-10-19T00:00:00-07:00\",\"2022-10-20T00:00:00-07:00\",\"2022-10-21T00:00:00-07:00\",\"2022-10-22T00:00:00-07:00\",\"2022-10-23T00:00:00-07:00\",\"2022-10-24T00:00:00-07:00\",\"2022-10-25T00:00:00-07:00\",\"2022-10-26T00:00:00-07:00\",\"2022-10-27T00:00:00-07:00\",\"2022-10-28T00:00:00-07:00\",\"2022-10-29T00:00:00-07:00\",\"2022-10-30T00:00:00-07:00\",\"2022-10-31T00:00:00-07:00\",\"2022-11-01T00:00:00-07:00\",\"2022-11-02T00:00:00-07:00\",\"2022-11-03T00:00:00-07:00\",\"2022-11-04T00:00:00-07:00\",\"2022-11-05T00:00:00-07:00\",\"2022-11-06T00:00:00-07:00\",\"2022-11-07T00:00:00-08:00\",\"2022-11-08T00:00:00-08:00\",\"2022-11-09T00:00:00-08:00\",\"2022-11-10T00:00:00-08:00\",\"2022-11-11T00:00:00-08:00\",\"2022-11-12T00:00:00-08:00\",\"2022-11-13T00:00:00-08:00\",\"2022-11-14T00:00:00-08:00\",\"2022-11-15T00:00:00-08:00\",\"2022-11-16T00:00:00-08:00\",\"2022-11-17T00:00:00-08:00\",\"2022-11-18T00:00:00-08:00\",\"2022-11-19T00:00:00-08:00\",\"2022-11-20T00:00:00-08:00\"],\"y\":[100.32347458435882,100.41717398570881,100.57312996968595,100.73530005001436,100.90235693389933,101.00388253474954,101.03721276907811,101.04538081905343,101.16577670200545,101.35688744769422,101.54269946134131,101.5803510965375,101.53260105596185,101.55526010094619,101.59224684750612,101.61572751788317,101.64915436403705,101.66790915314525,101.74828392753757,101.88817693198578,102.04565900540061,102.13792397016196,102.18614360165148,102.16420604031347,102.11105911051486,102.15446967455483,102.19465599828783,102.18522552230866,102.16449997271502,102.17870174877999,102.30413968323323,102.55349487390865,102.85864707571845,103.1640808128941,103.47766764875725,103.71141179509176,103.8554588943275,103.94410554671528,104.10348444341128,104.32343710155592,104.4890777761807,104.61312607969677,104.79437563472904,105.01221906497226,105.1866338382872,105.43522489892518,105.5969272387734,105.78483859086464,105.92003659689738,106.03440777101108],\"marker\":{},\"line\":{\"color\":\"blue\",\"width\":2.0}}];\r\n",
+       "            var layout = {\"width\":1200,\"height\":600,\"template\":{\"layout\":{\"title\":{\"x\":0.05},\"font\":{\"color\":\"rgba(42, 63, 95, 1.0)\"},\"paper_bgcolor\":\"rgba(255, 255, 255, 1.0)\",\"plot_bgcolor\":\"rgba(229, 236, 246, 1.0)\",\"autotypenumbers\":\"strict\",\"colorscale\":{\"diverging\":[[0.0,\"#8e0152\"],[0.1,\"#c51b7d\"],[0.2,\"#de77ae\"],[0.3,\"#f1b6da\"],[0.4,\"#fde0ef\"],[0.5,\"#f7f7f7\"],[0.6,\"#e6f5d0\"],[0.7,\"#b8e186\"],[0.8,\"#7fbc41\"],[0.9,\"#4d9221\"],[1.0,\"#276419\"]],\"sequential\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"sequentialminus\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]},\"hovermode\":\"closest\",\"hoverlabel\":{\"align\":\"left\"},\"coloraxis\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}},\"geo\":{\"showland\":true,\"landcolor\":\"rgba(229, 236, 246, 1.0)\",\"showlakes\":true,\"lakecolor\":\"rgba(255, 255, 255, 1.0)\",\"subunitcolor\":\"rgba(255, 255, 255, 1.0)\",\"bgcolor\":\"rgba(255, 255, 255, 1.0)\"},\"mapbox\":{\"style\":\"light\"},\"polar\":{\"bgcolor\":\"rgba(229, 236, 246, 1.0)\",\"radialaxis\":{\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"ticks\":\"\"},\"angularaxis\":{\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"ticks\":\"\"}},\"scene\":{\"xaxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"gridwidth\":2.0,\"zerolinecolor\":\"rgba(255, 255, 255, 1.0)\",\"backgroundcolor\":\"rgba(229, 236, 246, 1.0)\",\"showbackground\":true},\"yaxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"gridwidth\":2.0,\"zerolinecolor\":\"rgba(255, 255, 255, 1.0)\",\"backgroundcolor\":\"rgba(229, 236, 246, 1.0)\",\"showbackground\":true},\"zaxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"gridwidth\":2.0,\"zerolinecolor\":\"rgba(255, 255, 255, 1.0)\",\"backgroundcolor\":\"rgba(229, 236, 246, 1.0)\",\"showbackground\":true}},\"ternary\":{\"aaxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\"},\"baxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\"},\"caxis\":{\"ticks\":\"\",\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\"},\"bgcolor\":\"rgba(229, 236, 246, 1.0)\"},\"xaxis\":{\"title\":{\"standoff\":15},\"ticks\":\"\",\"automargin\":true,\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"zerolinecolor\":\"rgba(255, 255, 255, 1.0)\",\"zerolinewidth\":2.0},\"yaxis\":{\"title\":{\"standoff\":15},\"ticks\":\"\",\"automargin\":true,\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"zerolinecolor\":\"rgba(255, 255, 255, 1.0)\",\"zerolinewidth\":2.0},\"annotationdefaults\":{\"arrowcolor\":\"#2a3f5f\",\"arrowhead\":0,\"arrowwidth\":1},\"shapedefaults\":{\"line\":{\"color\":\"rgba(42, 63, 95, 1.0)\"}},\"colorway\":[\"rgba(99, 110, 250, 1.0)\",\"rgba(239, 85, 59, 1.0)\",\"rgba(0, 204, 150, 1.0)\",\"rgba(171, 99, 250, 1.0)\",\"rgba(255, 161, 90, 1.0)\",\"rgba(25, 211, 243, 1.0)\",\"rgba(255, 102, 146, 1.0)\",\"rgba(182, 232, 128, 1.0)\",\"rgba(255, 151, 255, 1.0)\",\"rgba(254, 203, 82, 1.0)\"]},\"data\":{\"bar\":[{\"marker\":{\"line\":{\"color\":\"rgba(229, 236, 246, 1.0)\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"error_x\":{\"color\":\"rgba(42, 63, 95, 1.0)\"},\"error_y\":{\"color\":\"rgba(42, 63, 95, 1.0)\"}}],\"barpolar\":[{\"marker\":{\"line\":{\"color\":\"rgba(229, 236, 246, 1.0)\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}}}],\"carpet\":[{\"aaxis\":{\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"endlinecolor\":\"rgba(42, 63, 95, 1.0)\",\"minorgridcolor\":\"rgba(255, 255, 255, 1.0)\",\"startlinecolor\":\"rgba(42, 63, 95, 1.0)\"},\"baxis\":{\"linecolor\":\"rgba(255, 255, 255, 1.0)\",\"gridcolor\":\"rgba(255, 255, 255, 1.0)\",\"endlinecolor\":\"rgba(42, 63, 95, 1.0)\",\"minorgridcolor\":\"rgba(255, 255, 255, 1.0)\",\"startlinecolor\":\"rgba(42, 63, 95, 1.0)\"}}],\"choropleth\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"contour\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"contourcarpet\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}],\"heatmap\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"heatmapgl\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"histogram\":[{\"marker\":{\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}}}],\"histogram2d\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"histogram2dcontour\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"mesh3d\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}],\"parcoords\":[{\"line\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"pie\":[{\"automargin\":true}],\"scatter\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scatter3d\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}},\"line\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scattercarpet\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scattergeo\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scattergl\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scattermapbox\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scatterpolar\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scatterpolargl\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"scatterternary\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"}}}],\"surface\":[{\"colorbar\":{\"outlinewidth\":0.0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"table\":[{\"cells\":{\"fill\":{\"color\":\"rgba(235, 240, 248, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}},\"header\":{\"fill\":{\"color\":\"rgba(200, 212, 227, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}}}]}},\"margin\":{\"l\":30,\"r\":10,\"t\":40,\"b\":30,\"pad\":1,\"autoexpand\":false},\"xaxis\":{\"rangeslider\":{\"visible\":false,\"yaxis\":{}}}};\r\n",
+       "            var config = {\"responsive\":true};\r\n",
+       "            Plotly.newPlot('962c4ba9-2a84-42ad-98c3-703f45d5e121', data, layout, config);\r\n",
+       "});\r\n",
+       "            };\r\n",
+       "            if ((typeof(requirejs) !==  typeof(Function)) || (typeof(requirejs.config) !== typeof(Function))) {\r\n",
+       "                var script = document.createElement(\"script\");\r\n",
+       "                script.setAttribute(\"src\", \"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js\");\r\n",
+       "                script.onload = function(){\r\n",
+       "                    renderPlotly_962c4ba92a8442ad98c3703f45d5e121();\r\n",
+       "                };\r\n",
+       "                document.getElementsByTagName(\"head\")[0].appendChild(script);\r\n",
+       "            }\r\n",
+       "            else {\r\n",
+       "                renderPlotly_962c4ba92a8442ad98c3703f45d5e121();\r\n",
+       "            }\r\n",
+       "</script>\r\n",
+       "\n",
+       "    \n",
+       "</div>    \n"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "int period = 25;\n",
+    "GBM_Feed feed = new(50, Volatility: 1);\n",
+    "TSeries data = feed.OHLC4;\n",
+    "//List<double> raw = new() { 0, 1, 1 ,1 ,1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0}; \n",
+    "//TSeries data = new();\n",
+    "//for (int i=0; i<raw.Count; i++) { data.Add((DateTime.Today.AddDays(i-raw.Count)),raw[i]); }\n",
+    "\n",
+    "EMA_Series calc1 = new(data,period);\n",
+    "EMA_Series calc2 = new(data,period, useSMA: false);\n",
+    "var line0 = Chart2D.Chart.Line<DateTime,double,bool>(data.t, data.v, false, data.GetType().Name).WithLineStyle(Width: 4, Color: Color.fromString(\"red\"));\n",
+    "var line1 = Chart2D.Chart.Line<DateTime,double,bool>(calc1.t, calc1.v, false, \"EMA_SMA\").WithLineStyle(Width: 2, Color: Color.fromString(\"purple\"));\n",
+    "var line2 = Chart2D.Chart.Line<DateTime,double,bool>(calc2.t, calc2.v, false, \"True EMA\").WithLineStyle(Width: 2, Color: Color.fromString(\"blue\"));\n",
+    "\n",
+    "var chart = Chart.Combine(new []{line0, line1, line2})\n",
+    "    .WithSize(1200,600)\n",
+    "    .WithMargin(Margin.init<int, int, int, int, int, bool>(30,10,40,30,1,false))\n",
+    "    .WithXAxisRangeSlider(RangeSlider.init(Visible:false));\n",
+    "\n",
+    "chart"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": ".NET (C#)",
+   "language": "C#",
+   "name": ".net-csharp"
+  },
+  "language_info": {
+   "file_extension": ".cs",
+   "mimetype": "text/x-csharp",
+   "name": "C#",
+   "pygments_lexer": "csharp",
+   "version": "9.0"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}