namespace QuanTAlib.Tests; public class QemaTests { [Fact] public void Qema_Constructor_Period_ValidatesInput() { Assert.Throws(() => new Qema(0)); Assert.Throws(() => new Qema(-1)); var qema = new Qema(10); Assert.NotNull(qema); } [Fact] public void Qema_Calc_ReturnsValue() { var qema = new Qema(10); Assert.Equal(0, qema.Last.Value); TValue result = qema.Update(new TValue(DateTime.UtcNow, 100)); Assert.True(result.Value > 0); Assert.Equal(result.Value, qema.Last.Value); } [Fact] public void Qema_Calc_IsNew_AcceptsParameter() { var qema = new Qema(10); qema.Update(new TValue(DateTime.UtcNow, 100), isNew: true); double value1 = qema.Last.Value; qema.Update(new TValue(DateTime.UtcNow, 105), isNew: true); double value2 = qema.Last.Value; // Values should change with new bars Assert.NotEqual(value1, value2); } [Fact] public void Qema_Calc_IsNew_False_UpdatesValue() { var qema = new Qema(10); qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, 110), isNew: true); double beforeUpdate = qema.Last.Value; qema.Update(new TValue(DateTime.UtcNow, 120), isNew: false); double afterUpdate = qema.Last.Value; // Update should change the value Assert.NotEqual(beforeUpdate, afterUpdate); } [Fact] public void Qema_Reset_ClearsState() { var qema = new Qema(10); qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, 105)); double valueBefore = qema.Last.Value; qema.Reset(); Assert.Equal(0, qema.Last.Value); // After reset, should accept new values qema.Update(new TValue(DateTime.UtcNow, 50)); Assert.NotEqual(0, qema.Last.Value); Assert.NotEqual(valueBefore, qema.Last.Value); } [Fact] public void Qema_Properties_Accessible() { var qema = new Qema(10); Assert.Equal(0, qema.Last.Value); Assert.False(qema.IsHot); qema.Update(new TValue(DateTime.UtcNow, 100)); Assert.NotEqual(0, qema.Last.Value); } [Fact] public void Qema_IsHot_BecomesTrueWithSufficientData() { var qema = new Qema(10); // Initially IsHot should be false Assert.False(qema.IsHot); int steps = 0; while (!qema.IsHot && steps < 1000) { qema.Update(new TValue(DateTime.UtcNow, 100)); steps++; } Assert.True(qema.IsHot); Assert.True(steps > 0); } [Fact] public void Qema_IsHot_IsPeriodDependent() { int[] periods = [10, 20, 50]; int[] warmupSteps = new int[periods.Length]; for (int i = 0; i < periods.Length; i++) { int period = periods[i]; var qema = new Qema(period); int steps = 0; while (!qema.IsHot && steps < 500) { qema.Update(new TValue(DateTime.UtcNow, 100)); steps++; } warmupSteps[i] = steps; } // Verify warmup times increase with period Assert.True(warmupSteps[0] < warmupSteps[1], $"Period 10 ({warmupSteps[0]}) should be less than Period 20 ({warmupSteps[1]})"); Assert.True(warmupSteps[1] < warmupSteps[2], $"Period 20 ({warmupSteps[1]}) should be less than Period 50 ({warmupSteps[2]})"); } [Fact] public void Qema_IterativeCorrections_RestoreToOriginalState() { var qema = new Qema(10); var gbm = new GBM(startPrice: 100.0, mu: 0.02, sigma: 0.1); // Feed 10 new values TValue tenthInput = default; for (int i = 0; i < 10; i++) { var bar = gbm.Next(isNew: true); tenthInput = new TValue(bar.Time, bar.Close); qema.Update(tenthInput, isNew: true); } // Remember QEMA state after 10 values double qemaAfterTen = qema.Last.Value; // Generate 9 corrections with isNew=false (different values) for (int i = 0; i < 9; i++) { var bar = gbm.Next(isNew: false); qema.Update(new TValue(bar.Time, bar.Close), isNew: false); } // Feed the remembered 10th input again with isNew=false TValue finalQema = qema.Update(tenthInput, isNew: false); // QEMA should match the original state after 10 values Assert.Equal(qemaAfterTen, finalQema.Value, 1e-10); } [Fact] public void Qema_BatchCalc_MatchesIterativeCalc() { var qemaIterative = new Qema(10); var qemaBatch = new Qema(10); var gbm = new GBM(startPrice: 100.0, mu: 0.02, sigma: 0.1); // Generate data var series = new TSeries(); for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); series.Add(bar.Time, bar.Close); } Assert.True(series.Count > 0); // Calculate iteratively var iterativeResults = new TSeries(); foreach (var item in series) { iterativeResults.Add(qemaIterative.Update(item)); } // Calculate batch var batchResults = qemaBatch.Update(series); // Compare Assert.Equal(iterativeResults.Count, batchResults.Count); for (int i = 0; i < iterativeResults.Count; i++) { Assert.Equal(iterativeResults[i].Value, batchResults[i].Value, 1e-10); Assert.Equal(iterativeResults[i].Time, batchResults[i].Time); } } [Fact] public void Qema_NaN_Input_UsesLastValidValue() { var qema = new Qema(10); // Feed some valid values qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, 110)); // Feed NaN - should use last valid value (110) var resultAfterNaN = qema.Update(new TValue(DateTime.UtcNow, double.NaN)); // Result should be finite (not NaN) Assert.True(double.IsFinite(resultAfterNaN.Value)); Assert.NotEqual(0, resultAfterNaN.Value); } [Fact] public void Qema_Infinity_Input_UsesLastValidValue() { var qema = new Qema(10); // Feed some valid values qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, 110)); // Feed positive infinity - should use last valid value var resultAfterPosInf = qema.Update(new TValue(DateTime.UtcNow, double.PositiveInfinity)); Assert.True(double.IsFinite(resultAfterPosInf.Value)); // Feed negative infinity - should use last valid value var resultAfterNegInf = qema.Update(new TValue(DateTime.UtcNow, double.NegativeInfinity)); Assert.True(double.IsFinite(resultAfterNegInf.Value)); } [Fact] public void Qema_MultipleNaN_ContinuesWithLastValid() { var qema = new Qema(10); // Feed valid values qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, 110)); qema.Update(new TValue(DateTime.UtcNow, 120)); // Feed multiple NaN values var r1 = qema.Update(new TValue(DateTime.UtcNow, double.NaN)); var r2 = qema.Update(new TValue(DateTime.UtcNow, double.NaN)); var r3 = qema.Update(new TValue(DateTime.UtcNow, double.NaN)); // All results should be finite Assert.True(double.IsFinite(r1.Value)); Assert.True(double.IsFinite(r2.Value)); Assert.True(double.IsFinite(r3.Value)); } [Fact] public void Qema_BatchCalc_HandlesNaN() { var qema = new Qema(10); // Create series with NaN values interspersed var series = new TSeries(); series.Add(DateTime.UtcNow.Ticks, 100); series.Add(DateTime.UtcNow.Ticks + 1, 110); series.Add(DateTime.UtcNow.Ticks + 2, double.NaN); series.Add(DateTime.UtcNow.Ticks + 3, 120); series.Add(DateTime.UtcNow.Ticks + 4, double.PositiveInfinity); series.Add(DateTime.UtcNow.Ticks + 5, 130); var results = qema.Update(series); // All results should be finite foreach (var result in results) { Assert.True(double.IsFinite(result.Value), $"Expected finite value but got {result.Value}"); } } [Fact] public void Qema_Reset_ClearsLastValidValue() { var qema = new Qema(10); // Feed values including NaN qema.Update(new TValue(DateTime.UtcNow, 100)); qema.Update(new TValue(DateTime.UtcNow, double.NaN)); // Reset qema.Reset(); // After reset, first valid value should establish new baseline var result = qema.Update(new TValue(DateTime.UtcNow, 50)); Assert.Equal(50.0, result.Value, 1e-10); } // ============== Span API Tests ============== [Fact] public void Qema_SpanBatch_Period_ValidatesInput() { double[] source = [1, 2, 3, 4, 5]; double[] output = new double[5]; double[] wrongSizeOutput = new double[3]; // Period must be > 0 Assert.Throws(() => Qema.Batch(source.AsSpan(), output.AsSpan(), 0)); Assert.Throws(() => Qema.Batch(source.AsSpan(), output.AsSpan(), -1)); // Output must be same length as source Assert.Throws(() => Qema.Batch(source.AsSpan(), wrongSizeOutput.AsSpan(), 3)); } [Fact] public void Qema_SpanBatch_MatchesTSeriesBatch() { var series = new TSeries(); double[] source = new double[100]; double[] output = new double[100]; var gbm = new GBM(startPrice: 100.0, mu: 0.02, sigma: 0.1, seed: 42); for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); source[i] = bar.Close; series.Add(bar.Time, bar.Close); } // Calculate with TSeries API var tseriesResult = Qema.Batch(series, 10); // Calculate with Span API Qema.Batch(source.AsSpan(), output.AsSpan(), 10); // Compare results for (int i = 0; i < 100; i++) { Assert.Equal(tseriesResult[i].Value, output[i], 1e-9); } } [Fact] public void Qema_SpanBatch_ZeroAllocation() { double[] source = new double[10000]; double[] output = new double[10000]; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 42); for (int i = 0; i < source.Length; i++) { source[i] = gbm.Next().Close; } // Warm up Qema.Batch(source.AsSpan(), output.AsSpan(), 100); // This test verifies the method runs without throwing Assert.True(double.IsFinite(output[^1])); } [Fact] public void Qema_SpanBatch_HandlesNaN() { double[] source = [100, 110, double.NaN, 120, 130]; double[] output = new double[5]; Qema.Batch(source.AsSpan(), output.AsSpan(), 3); // All outputs should be finite foreach (var val in output) { Assert.True(double.IsFinite(val), $"Expected finite value but got {val}"); } } [Fact] public void Qema_SpanBatch_BiasCorrection_Works() { double[] source = [100, 100, 100, 100, 100]; double[] output = new double[5]; Qema.Batch(source.AsSpan(), output.AsSpan(), 3); // With bias correction, first value should equal input (zero lag for constant) Assert.Equal(100.0, output[0], 1e-10); // All values should converge to 100 since input is constant foreach (var val in output) { Assert.Equal(100.0, val, 1e-9); } } [Fact] public void Chainability_Works() { var source = new TSeries(); var qema = new Qema(source, 10); source.Add(new TValue(DateTime.UtcNow, 100)); Assert.Equal(100, qema.Last.Value, 1e-10); } [Fact] public void Prime_SetsStateCorrectly() { var qema = new Qema(5); double[] history = [10, 20, 30, 40, 50]; qema.Prime(history); // Verify against a fresh QEMA fed with same data var verifyQema = new Qema(5); foreach (var val in history) { verifyQema.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(verifyQema.Last.Value, qema.Last.Value, 1e-10); Assert.Equal(verifyQema.IsHot, qema.IsHot); // Verify it continues correctly qema.Update(new TValue(DateTime.UtcNow, 60)); verifyQema.Update(new TValue(DateTime.UtcNow, 60)); Assert.Equal(verifyQema.Last.Value, qema.Last.Value, 1e-10); } [Fact] public void Prime_HandlesNaN_InHistory() { var qema = new Qema(5); double[] history = [10, 20, double.NaN, 40, 50]; qema.Prime(history); var verifyQema = new Qema(5); foreach (var val in history) { verifyQema.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(verifyQema.Last.Value, qema.Last.Value, 1e-10); } [Fact] public void Prime_ThenUpdate_StateWorksCorrectly() { var qema = new Qema(5); double[] history = [10, 20, 30, 40, 50]; qema.Prime(history); double afterPrime = qema.Last.Value; // After Prime, an isNew=true should advance the state qema.Update(new TValue(DateTime.UtcNow, 60), isNew: true); double afterNewBar = qema.Last.Value; // Values should be different Assert.NotEqual(afterPrime, afterNewBar); // isNew=false with a different value should recalculate from previous state qema.Update(new TValue(DateTime.UtcNow, 70), isNew: false); double afterCorrection = qema.Last.Value; // Correction with 70 should give different result than 60 Assert.NotEqual(afterNewBar, afterCorrection); // isNew=false with original value (60) should restore to afterNewBar qema.Update(new TValue(DateTime.UtcNow, 60), isNew: false); Assert.Equal(afterNewBar, qema.Last.Value, 1e-10); } [Fact] public void Qema_AllModes_ProduceSameResult() { // Arrange int period = 10; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); var bars = gbm.Fetch(1000, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var series = bars.Close; // 1. Batch Mode var batchSeries = Qema.Batch(series, period); double expected = batchSeries.Last.Value; // 2. Span Mode var tValues = series.Values.ToArray(); var spanInput = new ReadOnlySpan(tValues); var spanOutput = new double[tValues.Length]; Qema.Batch(spanInput, spanOutput, period); double spanResult = spanOutput[^1]; // 3. Streaming Mode var streamingInd = new Qema(period); for (int i = 0; i < series.Count; i++) { streamingInd.Update(series[i]); } double streamingResult = streamingInd.Last.Value; // 4. Eventing Mode var pubSource = new TSeries(); var eventingInd = new Qema(pubSource, period); for (int i = 0; i < series.Count; i++) { pubSource.Add(series[i]); } double eventingResult = eventingInd.Last.Value; // Assert Assert.Equal(expected, spanResult, precision: 9); Assert.Equal(expected, streamingResult, precision: 9); Assert.Equal(expected, eventingResult, precision: 9); } [Fact] public void Qema_ZeroLag_WithConstantInput() { // QEMA should produce zero DC lag for constant input var qema = new Qema(20); // Feed constant values for (int i = 0; i < 100; i++) { qema.Update(new TValue(DateTime.UtcNow, 100)); } // With zero DC lag, output should equal input for constant signal Assert.Equal(100.0, qema.Last.Value, 1e-9); } [Fact] public void Qema_ProgressiveAlphas_ProduceDifferentFromTema() { // QEMA uses progressive alphas, not fixed alpha like TEMA // Results should differ from simple quad EMA with same alpha var qema = new Qema(20); var gbm = new GBM(startPrice: 100, mu: 0.02, sigma: 0.15, seed: 999); var values = new List(); for (int i = 0; i < 50; i++) { var bar = gbm.Next(); var result = qema.Update(new TValue(bar.Time, bar.Close)); values.Add(result.Value); } // All values should be finite Assert.All(values, v => Assert.True(double.IsFinite(v))); // QEMA output should be smooth (no wild jumps) for (int i = 1; i < values.Count; i++) { double change = Math.Abs(values[i] - values[i - 1]); Assert.True(change < 20, $"Change at index {i} is {change}, expected < 20"); } } }