using System; using Xunit; namespace QuanTAlib.Tests; public class StdDevTests { [Fact] public void Constructor_ValidatesPeriod() { Assert.Throws(() => new StdDev(1)); } [Fact] public void Calculation_KnownValues() { // Data: 2, 4, 4, 4, 5, 5, 7, 9 // Mean: 5 // Deviations: -3, -1, -1, -1, 0, 0, 2, 4 // Sq Devs: 9, 1, 1, 1, 0, 0, 4, 16 // Sum Sq Devs: 32 // Population Variance (N=8): 32 / 8 = 4 // Population StdDev: Sqrt(4) = 2 // Sample Variance (N-1=7): 32 / 7 = 4.571428... // Sample StdDev: Sqrt(4.571428...) = 2.1380899... var data = new double[] { 2, 4, 4, 4, 5, 5, 7, 9 }; // Test Population StdDev var popStd = new StdDev(8, isPopulation: true); foreach (var val in data) { popStd.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(2.0, popStd.Last.Value, precision: 6); // Test Sample StdDev var sampStd = new StdDev(8, isPopulation: false); foreach (var val in data) { sampStd.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(Math.Sqrt(32.0 / 7.0), sampStd.Last.Value, precision: 6); } [Fact] public void IsHot_BecomesTrueAfterPeriod() { int period = 5; var stdDev = new StdDev(period); for (int i = 0; i < period; i++) { Assert.False(stdDev.IsHot); stdDev.Update(new TValue(DateTime.UtcNow, i)); } Assert.True(stdDev.IsHot); } [Fact] public void Reset_ClearsState() { var stdDev = new StdDev(5); for (int i = 0; i < 10; i++) { stdDev.Update(new TValue(DateTime.UtcNow, i)); } Assert.True(stdDev.IsHot); stdDev.Reset(); Assert.False(stdDev.IsHot); Assert.Equal(0, stdDev.Last.Value); } [Fact] public void Batch_Matches_Iterative() { int period = 10; int count = 1000; var data = new double[count]; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < count; i++) { data[i] = gbm.Next().Close; } // Iterative var stdDev = new StdDev(period); var iterativeResults = new double[count]; for (int i = 0; i < count; i++) { stdDev.Update(new TValue(DateTime.UtcNow, data[i])); iterativeResults[i] = stdDev.Last.Value; } // Batch var batchResults = new double[count]; StdDev.Batch(data, batchResults, period); // Compare for (int i = 0; i < count; i++) { Assert.Equal(iterativeResults[i], batchResults[i], precision: 6); } } [Fact] public void Update_TSeries_Matches_Iterative() { int period = 10; int count = 1000; var data = new TSeries(); var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < count; i++) { var bar = gbm.Next(); data.Add(new TValue(bar.Time, bar.Close)); } // Iterative var stdDev = new StdDev(period); var iterativeResults = new double[count]; for (int i = 0; i < count; i++) { stdDev.Update(data[i]); iterativeResults[i] = stdDev.Last.Value; } // TSeries Batch var stdDevBatch = new StdDev(period); var batchSeries = stdDevBatch.Update(data); // Compare for (int i = 0; i < count; i++) { Assert.Equal(iterativeResults[i], batchSeries[i].Value, precision: 6); } } }