namespace QuanTAlib.Tests; using Xunit; public class TukeyWValidationTests { private static TSeries MakeSeries(int count = 500) { var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 42); return gbm.Fetch(count, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)).Close; } private readonly TSeries _data = MakeSeries(); [Fact] public void Batch_Matches_Streaming() { int period = 20; double alpha = 0.5; var streaming = new Tukey_w(period, alpha); var streamResults = new double[_data.Count]; for (int i = 0; i < _data.Count; i++) { streamResults[i] = streaming.Update(_data[i]).Value; } var batchResults = Tukey_w.Batch(_data, period, alpha); for (int i = 0; i < _data.Count; i++) { Assert.Equal(streamResults[i], batchResults[i].Value, 1e-9); } } [Fact] public void Span_Matches_Streaming() { int period = 20; double alpha = 0.5; var streaming = new Tukey_w(period, alpha); var streamResults = new double[_data.Count]; for (int i = 0; i < _data.Count; i++) { streamResults[i] = streaming.Update(_data[i]).Value; } var spanOutput = new double[_data.Count]; Tukey_w.Batch(_data.Values, spanOutput, period, alpha); for (int i = 0; i < _data.Count; i++) { Assert.Equal(streamResults[i], spanOutput[i], 1e-9); } } [Theory] [InlineData(2)] [InlineData(7)] [InlineData(20)] [InlineData(50)] public void DifferentPeriods_ProduceValidResults(int period) { var tukey = new Tukey_w(period, 0.5); foreach (var tv in _data) { var result = tukey.Update(tv); Assert.True(double.IsFinite(result.Value)); } Assert.True(tukey.IsHot); } [Fact] public void ConstantInput_ConvergesToConstant() { var tukey = new Tukey_w(10, 0.5); for (int i = 0; i < 50; i++) { tukey.Update(new TValue(DateTime.UtcNow, 42.0)); } Assert.Equal(42.0, tukey.Last.Value, 1e-10); } [Fact] public void Calculate_ReturnsHotIndicator() { var (results, indicator) = Tukey_w.Calculate(_data, 20, 0.5); Assert.True(indicator.IsHot); Assert.Equal(_data.Count, results.Count); } [Fact] public void BarCorrection_Consistency() { int period = 7; var tukey = new Tukey_w(period, 0.5); for (int i = 0; i < 20; i++) { tukey.Update(new TValue(DateTime.UtcNow, 100.0 + i), isNew: true); } double original = tukey.Last.Value; tukey.Update(new TValue(DateTime.UtcNow, 999.0), isNew: false); tukey.Update(new TValue(DateTime.UtcNow, 119.0), isNew: false); Assert.Equal(original, tukey.Last.Value, 1e-10); } [Fact] public void SubsetStability() { int period = 10; double alpha = 0.5; var src = MakeSeries(200); var full = new Tukey_w(period, alpha); for (int i = 0; i < src.Count; i++) { full.Update(src[i]); } var subset = new Tukey_w(period, alpha); for (int i = 0; i < src.Count; i++) { subset.Update(src[i]); } Assert.Equal(full.Last.Value, subset.Last.Value, 1e-10); } [Theory] [InlineData(0.0)] [InlineData(0.25)] [InlineData(0.5)] [InlineData(0.75)] [InlineData(1.0)] public void DifferentAlphas_ProduceValidResults(double alpha) { var tukey = new Tukey_w(20, alpha); foreach (var tv in _data) { var result = tukey.Update(tv); Assert.True(double.IsFinite(result.Value)); } Assert.True(tukey.IsHot); } [Fact] public void Alpha0_MatchesSma() { int period = 10; var tukey = new Tukey_w(period, 0.0); var sma = new Sma(period); foreach (var tv in _data) { tukey.Update(tv); sma.Update(tv); } Assert.Equal(sma.Last.Value, tukey.Last.Value, 1e-10); } [Fact] public void DifferentAlphas_ProduceDifferentResults() { int period = 20; var tukey025 = new Tukey_w(period, 0.25); var tukey075 = new Tukey_w(period, 0.75); foreach (var tv in _data) { tukey025.Update(tv); tukey075.Update(tv); } Assert.NotEqual(tukey025.Last.Value, tukey075.Last.Value); } [Fact] public void Weights_AreSymmetric() { int period = 11; double alpha = 0.5; var tukey1 = new Tukey_w(period, alpha); // Feed ascending then verify symmetry by checking constant input for (int i = 0; i < 50; i++) { tukey1.Update(new TValue(DateTime.UtcNow, 50.0)); } Assert.Equal(50.0, tukey1.Last.Value, 1e-10); } [Fact] public void Output_BoundedByInput() { int period = 10; var tukey = new Tukey_w(period, 0.5); for (int i = 0; i < _data.Count; i++) { tukey.Update(_data[i]); if (i >= period - 1) { // Track recent window min/max double wMin = double.MaxValue; double wMax = double.MinValue; int start = Math.Max(0, i - period + 1); for (int j = start; j <= i; j++) { double v = _data[j].Value; if (v < wMin) { wMin = v; } if (v > wMax) { wMax = v; } } Assert.InRange(tukey.Last.Value, wMin - 1e-10, wMax + 1e-10); } } } [Fact] public void PineScript_Equivalence_Alpha05() { // Verify the piecewise Tukey window with known values // period=5, alpha=0.5: N=4, aN=2 // i=0: i < aN/2=1 → w = 0.5*(1-cos(2π*0/2)) = 0.5*(1-1) = 0 // i=1: i >= aN/2=1 and i <= N-aN/2=3 → w = 1.0 // i=2: flat → w = 1.0 // i=3: flat → w = 1.0 // i=4: i > N-aN/2=3 → w = 0.5*(1-cos(2π*(4-4)/2)) = 0.5*(1-1) = 0 // weights = [0, 1, 1, 1, 0] normalized = [0, 1/3, 1/3, 1/3, 0] // So for constant input 10.0, result should be 10.0 var tukey = new Tukey_w(5, 0.5); for (int i = 0; i < 10; i++) { tukey.Update(new TValue(DateTime.UtcNow, 10.0)); } Assert.Equal(10.0, tukey.Last.Value, 1e-10); // For values [1,2,3,4,5] with weights [0,1/3,1/3,1/3,0]: // result = (0*1 + 1/3*2 + 1/3*3 + 1/3*4 + 0*5) = (2+3+4)/3 = 3.0 var tukey2 = new Tukey_w(5, 0.5); for (int i = 1; i <= 5; i++) { tukey2.Update(new TValue(DateTime.UtcNow, i)); } Assert.Equal(3.0, tukey2.Last.Value, 1e-10); } }