From ca54856a66fe912cc1cc6d76823e76add6a8a064 Mon Sep 17 00:00:00 2001 From: Miha Kralj Date: Wed, 4 Jan 2023 13:51:50 -0800 Subject: [PATCH] Fibonacci Moving Average --- Source/Trends/FMA_Series.cs | 59 ++++++++++++++++++++++++++++++++++++ Source/Trends/JMA_Series.cs | 13 +++----- Tests/MovingAvg/FMA_Test.cs | 31 +++++++++++++++++++ Tests/Series/Update.cs | 13 +++++++- docs/FMA.md | 4 +++ docs/_sidebar.md | 1 + docs/img/FMA_chart.svg | 1 + docs/img/quotes.gif | Bin 0 -> 780780 bytes docs/indicators.md | 2 +- docs/readme.md | 34 ++++++++++++--------- 10 files changed, 133 insertions(+), 25 deletions(-) create mode 100644 Source/Trends/FMA_Series.cs create mode 100644 Tests/MovingAvg/FMA_Test.cs create mode 100644 docs/FMA.md create mode 100644 docs/img/FMA_chart.svg create mode 100644 docs/img/quotes.gif diff --git a/Source/Trends/FMA_Series.cs b/Source/Trends/FMA_Series.cs new file mode 100644 index 00000000..4e15155c --- /dev/null +++ b/Source/Trends/FMA_Series.cs @@ -0,0 +1,59 @@ +namespace QuanTAlib; +using System; + +/* +FMA: Fibonacci Moving Average + FMA calculates the average across multiple EMAs with periods following Fibonacci sequence + (skipping initial Fibonacci numbers of 1, 1, 2) 3, 5, 8, 13, 21, 34... + + FMA(n) = Average(EMA(3), EMA(5), EMA(8), ema(13), ... EMA(n-th Fib)) + +Sources: + https://kaabar-sofien.medium.com/the-fibonacci-moving-average-the-full-guide-60e718117595 + https://www.tradingview.com/script/6pxgp2vh-Fibonacci-Moving-Average-FMA/ + + */ + +public class FMA_Series : Single_TSeries_Indicator { + double[,] fib; + double _oldsum; + int _len; + + public FMA_Series(TSeries source, int period) : base(source, period, false) { + _len = period; + fib = new double[_len, 4]; + int a = 3; + int b = 5; + int f = 0; + fib[0, 0] = 2 / ((double)a - 1); + if (_len > 1) { fib[1, 0] = 2 / ((double)b - 1); } + if (_len > 2) { + for (int i = 2; i < _len; i++) { + f = a + b; + a = b; + b = f; + fib[i, 0] = 2 / ((double)f - 1); + } + } + _oldsum = 0; + if (this._data.Count > 0) { base.Add(this._data); } + } + + public override void Add((DateTime t, double v) TValue, bool update) { + double _sum = 0; + for (int i = 0; i < _len; i++) { + if (update) { fib[i, 1] = fib[i, 3]; _sum = _oldsum; } + else { fib[i, 3] = fib[i, 1]; _oldsum = _sum; } + + if (this.Count == 0) { fib[i, 1] = TValue.v; } + else { + fib[i, 2] = fib[i, 0] * (TValue.v - fib[i, 1]) + fib[i, 1]; + fib[i, 1] = fib[i, 2]; + } + _sum += fib[i, 1]; + } + + double _fma = _sum / _len; + base.Add((TValue.t, _fma), update, _NaN); + } +} \ No newline at end of file diff --git a/Source/Trends/JMA_Series.cs b/Source/Trends/JMA_Series.cs index 0a8b201d..96e5bb0e 100644 --- a/Source/Trends/JMA_Series.cs +++ b/Source/Trends/JMA_Series.cs @@ -35,8 +35,8 @@ public class JMA_Series : Single_TSeries_Indicator { upperBand = lowerBand = prev_ma1 = prev_det0 = prev_det1 = prev_vsum = prev_jma = Kv = del1 = del2 = 0.0; Kv = 0; pr = (phase * 0.01) + 1.5; - if (phase < -100) pr = 0.5; - if (phase > 100) pr = 2.5; + if (phase < -100) { pr = 0.5; } + if (phase > 100) { pr = 2.5; } mma1 = new(); mma2 = new(); @@ -83,8 +83,7 @@ public class JMA_Series : Single_TSeries_Indicator { vsum = prev_vsum + 0.1 * (volty - volty_10.First()); if (update) { vsum_buff[vsum_buff.Count - 1] = vsum; } else { vsum_buff.Add(vsum); } - if (vsum_buff.Count > (10*_p)) - vsum_buff.RemoveAt(0); + if (vsum_buff.Count > (10 * _p)) { vsum_buff.RemoveAt(0); } double avolty = 0; for (int i = 0; i < vsum_buff.Count; i++) { avolty += vsum_buff[i]; } avolty /= vsum_buff.Count; @@ -94,10 +93,8 @@ public class JMA_Series : Single_TSeries_Indicator { double len1 = (Math.Log(Math.Sqrt(2.0 * _p)) / Math.Log(2.0)) + 2; if (len1 < 0) len1 = 0; double pow1 = Math.Max(len1 - 2.0, 0.5); - if (rvolty > Math.Pow(len1, 1.0 / pow1)) - rvolty = Math.Pow(len1, 1.0 / pow1); - if (rvolty < 1) - rvolty = 1; + if (rvolty > Math.Pow(len1, 1.0 / pow1)) { rvolty = Math.Pow(len1, 1.0 / pow1); } + if (rvolty < 1) { rvolty = 1; } //// from rvolty to second smoothing double pow2 = Math.Pow(rvolty, pow1); diff --git a/Tests/MovingAvg/FMA_Test.cs b/Tests/MovingAvg/FMA_Test.cs new file mode 100644 index 00000000..2369784d --- /dev/null +++ b/Tests/MovingAvg/FMA_Test.cs @@ -0,0 +1,31 @@ +using Xunit; +using System; +using QuanTAlib; + +namespace MovingAvg; +public class FMA_Test +{ + [Fact] + public void Add_Test() + { + TSeries a = new() { 0, 1, 2, 3, 4, 5 }; + FMA_Series c = new(a, 3); + Assert.Equal(6, c.Count); + a.Add(5); + Assert.Equal(a.Count, c.Count); + a.Add(0, update: true); + Assert.Equal(a.Count, c.Count); + } + + [Fact] + public void Edge_Test() + { + TSeries a = new() { double.NaN, double.Epsilon, double.PositiveInfinity, double.MaxValue }; + FMA_Series c = new(a, 3); + Assert.Equal(a.Count, c.Count); + a.Add(double.NaN); + Assert.Equal(a.Count, c.Count); + a.Add(double.PositiveInfinity); + Assert.Equal(a.Count, c.Count); + } +} diff --git a/Tests/Series/Update.cs b/Tests/Series/Update.cs index e477da9f..bef582c7 100644 --- a/Tests/Series/Update.cs +++ b/Tests/Series/Update.cs @@ -155,7 +155,18 @@ public class Update { Assert.Equal(lastLen, QL.Count); // same size Assert.Equal(lastCalc, QL.Last()); // same data } - [Fact] public void HEMA() { + [Fact] + public void FMA() { + FMA_Series QL = new(source: bars.Close, period: period); + var lastData = bars.Close.Last(); + var lastCalc = QL.Last(); + int lastLen = QL.Count; + QL.Add((DateTime.Today, 0), update: true); + QL.Add(lastData, update: true); + Assert.Equal(lastLen, QL.Count); // same size + Assert.Equal(lastCalc, QL.Last()); // same data + } + [Fact] public void HEMA() { HEMA_Series QL = new(source: bars.Close, period: period); var lastData = bars.Close.Last(); var lastCalc = QL.Last(); diff --git a/docs/FMA.md b/docs/FMA.md new file mode 100644 index 00000000..50b42426 --- /dev/null +++ b/docs/FMA.md @@ -0,0 +1,4 @@ +# FMA: Fibonacci Moving Average +period = 6 + +![Alt text](./img/FMA_chart.svg) \ No newline at end of file diff --git a/docs/_sidebar.md b/docs/_sidebar.md index f59cf77c..a2bf563e 100644 --- a/docs/_sidebar.md +++ b/docs/_sidebar.md @@ -9,6 +9,7 @@ * [SMMA - Smoothed Moving Average](SMMA.md) * [TRIMA - Triangular Moving Average](TRIMA.md) * [DWMA - Double Weighted Moving Average](DWMA.md) + * [FMA - Fibonacci Moving Average](FMA.md) * [DEMA - Double Exponential MA](DEMA.md) * [TEMA - Triple Exponential MA](TEMA.md) * [ALMA - Arnaud Legoux Moving Average](ALMA.md) diff --git a/docs/img/FMA_chart.svg b/docs/img/FMA_chart.svg new file mode 100644 index 00000000..93d2997e --- /dev/null +++ b/docs/img/FMA_chart.svg @@ -0,0 +1 @@ +020406000.20.40.60.81020406000.20.40.60.8102040600102030020406001020300204060−1−0.500.510204060−1−0.500.510204060−1−0.500.510204060−0.4−0.200.20.40204060−1−0.500.50204060−1−0.500.510204060−1−0.500.51020406000.51020406001020300204060−1010204060−1010204060170172174176178 \ No newline at end of file diff --git a/docs/img/quotes.gif b/docs/img/quotes.gif new file mode 100644 index 0000000000000000000000000000000000000000..f7ffdd1ba88a769df34f18ccf1e694749d8bf100 GIT binary patch literal 780780 zcmV(+K;6GbNk%w1Vb%d%0rmg@7aJW58y++h2QCy04;?8G9w`eQHxe8&2qG&KA}j(b zH5eu_05v-jHaa~mD>^PSG%qnB9V1aE7HuU6L@OprF)T$A0|*>O3>;7dBSZ&1Mif3r 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