// Massi: Mathematical property validation tests // Mass Index by Donald Dorsey. While Ooples has GetMassIndex(), the implementation // differences (EMA compensation, continuous vs discrete sum) make direct comparison // unreliable. Validation uses mathematical property testing instead. namespace QuanTAlib.Tests; using Xunit; public class MassiValidationTests { private const int DefaultEmaLength = 9; private const int DefaultSumLength = 25; private const int TestDataLength = 500; [Fact] public void Massi_Output_IsFiniteForGbmData() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(TestDataLength, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < bars.Count; i++) { var result = massi.Update(bars[i], isNew: true); Assert.True(double.IsFinite(result.Value), $"Massi output must be finite at bar {i}, got {result.Value}"); } } [Fact] public void Massi_Output_IsPositive_AfterWarmup() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(TestDataLength, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < bars.Count; i++) { var result = massi.Update(bars[i], isNew: true); if (massi.IsHot) { Assert.True(result.Value > 0, $"Massi output must be positive after warmup at bar {i}, got {result.Value}"); } } } [Fact] public void Massi_ConstantRange_ConvergesToSumLength() { // When High-Low is constant, EMA1 = EMA2 after convergence, // so ratio = 1.0. Sum of 25 ratios = 25.0. var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < 300; i++) { var bar = new TBar( DateTime.UtcNow.AddMinutes(i), 101, 101, 99, 100, 1000); // constant range = 2 massi.Update(bar, isNew: true); } // After convergence: ratio ≈ 1.0, sum ≈ 25.0 Assert.Equal(DefaultSumLength, massi.Last.Value, tolerance: 0.5); } [Fact] public void Massi_Ratio_ConvergesToOne_ForConstantRange() { var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < 300; i++) { var bar = new TBar( DateTime.UtcNow.AddMinutes(i), 102, 102, 98, 100, 1000); massi.Update(bar, isNew: true); } // EMA1/EMA2 should converge to 1.0 for constant range Assert.Equal(1.0, massi.Ratio, precision: 3); } [Fact] public void Massi_Ema1_GreaterThanZero_ForPositiveRange() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(TestDataLength, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < bars.Count; i++) { massi.Update(bars[i], isNew: true); if (massi.IsHot) { Assert.True(massi.Ema1 > 0, $"EMA1 must be > 0 at bar {i}, got {massi.Ema1}"); } } } [Fact] public void Massi_Ema2_GreaterThanZero_ForPositiveRange() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(TestDataLength, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < bars.Count; i++) { massi.Update(bars[i], isNew: true); if (massi.IsHot) { Assert.True(massi.Ema2 > 0, $"EMA2 must be > 0 at bar {i}, got {massi.Ema2}"); } } } [Fact] public void Massi_BatchTBarSeries_MatchesStreaming() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(TestDataLength, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); // Batch var batchResults = Massi.Batch(bars, DefaultEmaLength, DefaultSumLength); // Streaming var streamMassi = new Massi(DefaultEmaLength, DefaultSumLength); var streamResults = new double[bars.Count]; for (int i = 0; i < bars.Count; i++) { var result = streamMassi.Update(bars[i], isNew: true); streamResults[i] = result.Value; } Assert.Equal(batchResults.Count, bars.Count); for (int i = 0; i < bars.Count; i++) { Assert.Equal(batchResults.Values[i], streamResults[i], precision: 10); } } [Fact] public void Massi_WideningRange_IncreasesValue() { var massi = new Massi(DefaultEmaLength, DefaultSumLength); // Start with constant narrow range for (int i = 0; i < 100; i++) { var bar = new TBar( DateTime.UtcNow.AddMinutes(i), 100.5, 100.5, 99.5, 100, 1000); // range = 1 massi.Update(bar, isNew: true); } double narrowValue = massi.Last.Value; // Abruptly widen the range for (int i = 100; i < 150; i++) { var bar = new TBar( DateTime.UtcNow.AddMinutes(i), 110, 110, 90, 100, 1000); // range = 20 massi.Update(bar, isNew: true); } double wideValue = massi.Last.Value; // Widening range causes EMA1 to react faster than EMA2, // so ratio > 1 and MASSI increases Assert.True(wideValue > narrowValue, $"Widening range should increase MASSI: narrow={narrowValue}, wide={wideValue}"); } [Fact] public void Massi_DifferentParameters_ProduceDifferentResults() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(200, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi1 = new Massi(9, 25); var massi2 = new Massi(5, 10); for (int i = 0; i < bars.Count; i++) { massi1.Update(bars[i], isNew: true); massi2.Update(bars[i], isNew: true); } Assert.NotEqual(massi1.Last.Value, massi2.Last.Value); } [Fact] public void Massi_BarCorrection_IsNewFalse_RestoresState() { var bars = new GBM(sigma: 0.5, seed: 123).Fetch(50, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var massi = new Massi(DefaultEmaLength, DefaultSumLength); for (int i = 0; i < 40; i++) { massi.Update(bars[i], isNew: true); } massi.Update(bars[40], isNew: true); double afterNew = massi.Last.Value; massi.Update(bars[40], isNew: false); double afterCorrection = massi.Last.Value; Assert.Equal(afterNew, afterCorrection, precision: 10); } }