namespace QuanTAlib.Tests; public class RemaTests { [Fact] public void Rema_Constructor_Period_ValidatesInput() { Assert.Throws(() => new Rema(0)); Assert.Throws(() => new Rema(-1)); var rema = new Rema(10); Assert.NotNull(rema); } [Fact] public void Rema_Constructor_Lambda_ValidatesInput() { Assert.Throws(() => new Rema(10, -0.1)); Assert.Throws(() => new Rema(10, 1.1)); var rema1 = new Rema(10, 0.0); var rema2 = new Rema(10, 1.0); var rema3 = new Rema(10, 0.5); Assert.NotNull(rema1); Assert.NotNull(rema2); Assert.NotNull(rema3); } [Fact] public void Rema_Calc_ReturnsValue() { var rema = new Rema(10); Assert.Equal(0, rema.Last.Value); TValue result = rema.Update(new TValue(DateTime.UtcNow, 100)); Assert.True(result.Value > 0); Assert.Equal(result.Value, rema.Last.Value); } [Fact] public void Rema_Calc_IsNew_AcceptsParameter() { var rema = new Rema(10); rema.Update(new TValue(DateTime.UtcNow, 100), isNew: true); double value1 = rema.Last.Value; rema.Update(new TValue(DateTime.UtcNow, 105), isNew: true); double value2 = rema.Last.Value; // Values should change with new bars Assert.NotEqual(value1, value2); } [Fact] public void Rema_Calc_IsNew_False_UpdatesValue() { var rema = new Rema(10); rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, 110), isNew: true); double beforeUpdate = rema.Last.Value; rema.Update(new TValue(DateTime.UtcNow, 120), isNew: false); double afterUpdate = rema.Last.Value; // Update should change the value Assert.NotEqual(beforeUpdate, afterUpdate); } [Fact] public void Rema_Reset_ClearsState() { var rema = new Rema(10); rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, 105)); double valueBefore = rema.Last.Value; rema.Reset(); Assert.Equal(0, rema.Last.Value); // After reset, should accept new values rema.Update(new TValue(DateTime.UtcNow, 50)); Assert.NotEqual(0, rema.Last.Value); Assert.NotEqual(valueBefore, rema.Last.Value); } [Fact] public void Rema_Properties_Accessible() { var rema = new Rema(10); Assert.Equal(0, rema.Last.Value); Assert.False(rema.IsHot); rema.Update(new TValue(DateTime.UtcNow, 100)); Assert.NotEqual(0, rema.Last.Value); } [Fact] public void Rema_IsHot_BecomesTrueAfterWarmup() { var rema = new Rema(10); // Initially IsHot should be false Assert.False(rema.IsHot); int steps = 0; while (!rema.IsHot && steps < 1000) { rema.Update(new TValue(DateTime.UtcNow, 100)); steps++; } Assert.True(rema.IsHot); Assert.True(steps > 0); // Similar to EMA, should become hot around 15 bars for period 10 Assert.InRange(steps, 14, 17); } [Fact] public void Rema_IsHot_IsPeriodDependent() { int[] periods = [10, 20, 50]; int[] expectedSteps = new int[periods.Length]; for (int i = 0; i < periods.Length; i++) { int period = periods[i]; var rema = new Rema(period); int steps = 0; while (!rema.IsHot && steps < 500) { rema.Update(new TValue(DateTime.UtcNow, 100)); steps++; } expectedSteps[i] = steps; } // Verify warmup times increase with period Assert.True(expectedSteps[0] < expectedSteps[1], $"Period 10 ({expectedSteps[0]}) should be less than Period 20 ({expectedSteps[1]})"); Assert.True(expectedSteps[1] < expectedSteps[2], $"Period 20 ({expectedSteps[1]}) should be less than Period 50 ({expectedSteps[2]})"); } [Fact] public void Rema_Lambda1_ApproachesEma() { // With lambda=1, REMA should behave similarly to EMA var rema = new Rema(10, lambda: 1.0); var ema = new Ema(10); 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); var input = new TValue(bar.Time, bar.Close); rema.Update(input); ema.Update(input); } // With lambda=1, REMA should be very close to EMA Assert.Equal(ema.Last.Value, rema.Last.Value, 1e-6); } [Fact] public void Rema_Lambda0_MaxRegularization() { // With lambda=0, REMA uses pure momentum continuation var rema0 = new Rema(10, lambda: 0.0); var rema05 = new Rema(10, lambda: 0.5); var rema1 = new Rema(10, lambda: 1.0); var gbm = new GBM(startPrice: 100.0, mu: 0.02, sigma: 0.1, seed: 42); for (int i = 0; i < 50; i++) { var bar = gbm.Next(isNew: true); var input = new TValue(bar.Time, bar.Close); rema0.Update(input); rema05.Update(input); rema1.Update(input); } // All should produce finite values Assert.True(double.IsFinite(rema0.Last.Value)); Assert.True(double.IsFinite(rema05.Last.Value)); Assert.True(double.IsFinite(rema1.Last.Value)); // They should generally differ (lambda affects behavior) // Note: exact equality is unlikely with different lambdas } [Fact] public void Rema_IterativeCorrections_RestoreToOriginalState() { var rema = new Rema(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); rema.Update(tenthInput, isNew: true); } // Remember state after 10 values double remaAfterTen = rema.Last.Value; // Generate 9 corrections with isNew=false (different values) for (int i = 0; i < 9; i++) { var bar = gbm.Next(isNew: false); rema.Update(new TValue(bar.Time, bar.Close), isNew: false); } // Feed the remembered 10th input again with isNew=false TValue finalRema = rema.Update(tenthInput, isNew: false); // Should match the original state after 10 values Assert.Equal(remaAfterTen, finalRema.Value, 1e-10); } [Fact] public void Rema_BatchCalc_MatchesIterativeCalc() { var remaIterative = new Rema(10); var remaBatch = new Rema(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(remaIterative.Update(item)); } // Calculate batch var batchResults = remaBatch.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 Rema_NaN_Input_UsesLastValidValue() { var rema = new Rema(10); // Feed some valid values rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, 110)); // Feed NaN - should use last valid value (110) var resultAfterNaN = rema.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 Rema_Infinity_Input_UsesLastValidValue() { var rema = new Rema(10); // Feed some valid values rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, 110)); // Feed positive infinity - should use last valid value var resultAfterPosInf = rema.Update(new TValue(DateTime.UtcNow, double.PositiveInfinity)); Assert.True(double.IsFinite(resultAfterPosInf.Value)); // Feed negative infinity - should use last valid value var resultAfterNegInf = rema.Update(new TValue(DateTime.UtcNow, double.NegativeInfinity)); Assert.True(double.IsFinite(resultAfterNegInf.Value)); } [Fact] public void Rema_MultipleNaN_ContinuesWithLastValid() { var rema = new Rema(10); // Feed valid values rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, 110)); rema.Update(new TValue(DateTime.UtcNow, 120)); // Feed multiple NaN values var r1 = rema.Update(new TValue(DateTime.UtcNow, double.NaN)); var r2 = rema.Update(new TValue(DateTime.UtcNow, double.NaN)); var r3 = rema.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 Rema_BatchCalc_HandlesNaN() { var rema = new Rema(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 = rema.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 Rema_Reset_ClearsLastValidValue() { var rema = new Rema(10); // Feed values including NaN rema.Update(new TValue(DateTime.UtcNow, 100)); rema.Update(new TValue(DateTime.UtcNow, double.NaN)); // Reset rema.Reset(); // After reset, first valid value should establish new baseline var result = rema.Update(new TValue(DateTime.UtcNow, 50)); Assert.Equal(50.0, result.Value, 1e-10); } // ============== Span API Tests ============== [Fact] public void Rema_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(() => Rema.Batch(source.AsSpan(), output.AsSpan(), 0)); Assert.Throws(() => Rema.Batch(source.AsSpan(), output.AsSpan(), -1)); // Output must be same length as source Assert.Throws(() => Rema.Batch(source.AsSpan(), wrongSizeOutput.AsSpan(), 3)); } [Fact] public void Rema_SpanBatch_Lambda_ValidatesInput() { double[] source = [1, 2, 3, 4, 5]; double[] output = new double[5]; // Lambda must be >= 0 and <= 1 Assert.Throws(() => Rema.Batch(source.AsSpan(), output.AsSpan(), 3, -0.1)); Assert.Throws(() => Rema.Batch(source.AsSpan(), output.AsSpan(), 3, 1.1)); } [Fact] public void Rema_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 = Rema.Batch(series, 10); // Calculate with Span API Rema.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 Rema_SpanBatch_DifferentLambdas() { double[] source = [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]; double[] output0 = new double[10]; double[] output05 = new double[10]; double[] output1 = new double[10]; Rema.Batch(source.AsSpan(), output0.AsSpan(), 5, 0.0); Rema.Batch(source.AsSpan(), output05.AsSpan(), 5, 0.5); Rema.Batch(source.AsSpan(), output1.AsSpan(), 5, 1.0); // All should produce finite results for (int i = 0; i < 10; i++) { Assert.True(double.IsFinite(output0[i])); Assert.True(double.IsFinite(output05[i])); Assert.True(double.IsFinite(output1[i])); } } [Fact] public void Rema_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 Rema.Batch(source.AsSpan(), output.AsSpan(), 100); // This test verifies the method runs without throwing Assert.True(double.IsFinite(output[^1])); } [Fact] public void Rema_SpanBatch_HandlesNaN() { double[] source = [100, 110, double.NaN, 120, 130]; double[] output = new double[5]; Rema.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 Chainability_Works() { var source = new TSeries(); var rema = new Rema(source, 10); source.Add(new TValue(DateTime.UtcNow, 100)); Assert.Equal(100, rema.Last.Value, 1e-10); } [Fact] public void Prime_SetsStateCorrectly() { var rema = new Rema(5); double[] history = [10, 20, 30, 40, 50]; rema.Prime(history); // Verify against a fresh REMA fed with same data var verifyRema = new Rema(5); foreach (var val in history) { verifyRema.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(verifyRema.Last.Value, rema.Last.Value, 1e-10); Assert.Equal(verifyRema.IsHot, rema.IsHot); // Verify it continues correctly rema.Update(new TValue(DateTime.UtcNow, 60)); verifyRema.Update(new TValue(DateTime.UtcNow, 60)); Assert.Equal(verifyRema.Last.Value, rema.Last.Value, 1e-10); } [Fact] public void Prime_HandlesNaN_InHistory() { var rema = new Rema(5); double[] history = [10, 20, double.NaN, 40, 50]; rema.Prime(history); var verifyRema = new Rema(5); foreach (var val in history) { verifyRema.Update(new TValue(DateTime.UtcNow, val)); } Assert.Equal(verifyRema.Last.Value, rema.Last.Value, 1e-10); } [Fact] public void Prime_AllNaNs_ReturnsNaN() { var rema = new Rema(5); double[] history = [double.NaN, double.NaN, double.NaN]; rema.Prime(history); Assert.True(double.IsNaN(rema.Last.Value)); } [Fact] public void Calculate_ReturnsCorrectResultsAndHotIndicator() { var series = new TSeries(); for (int i = 1; i <= 20; i++) { series.Add(DateTime.UtcNow, i * 10); } var (results, indicator) = Rema.Calculate(series, 5); // Check results Assert.Equal(20, results.Count); // Verify against standard calculation var verifyRema = new Rema(5); var verifyResults = verifyRema.Update(series); Assert.Equal(verifyResults.Last.Value, results.Last.Value, 1e-10); Assert.Equal(verifyRema.Last.Value, indicator.Last.Value, 1e-10); // Check indicator state Assert.True(indicator.IsHot); // Verify indicator continues correctly indicator.Update(new TValue(DateTime.UtcNow, 210)); verifyRema.Update(new TValue(DateTime.UtcNow, 210)); Assert.Equal(verifyRema.Last.Value, indicator.Last.Value, 1e-10); } [Fact] public void Rema_Batch_AllNaNs_ReturnsNaN() { double[] source = [double.NaN, double.NaN, double.NaN]; double[] output = new double[3]; Rema.Batch(source.AsSpan(), output.AsSpan(), 5); // Should be all NaNs, not 0s foreach (var val in output) { Assert.True(double.IsNaN(val), $"Expected NaN but got {val}"); } } [Fact] public void Rema_AllModes_ProduceSameResult() { // Arrange int period = 10; double lambda = 0.5; 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 = Rema.Batch(series, period, lambda); double expected = batchSeries.Last.Value; // 2. Span Mode var tValues = series.Values.ToArray(); var spanInput = new ReadOnlySpan(tValues); var spanOutput = new double[tValues.Length]; Rema.Batch(spanInput, spanOutput, period, lambda); double spanResult = spanOutput[^1]; // 3. Streaming Mode var streamingInd = new Rema(period, lambda); 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 Rema(pubSource, period, lambda); 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 Rema_AllModes_ProduceSameResult_AfterResyncInterval() { // Guards against implementation drift between CalculateCore (batch/span) // and Update(TValue) (streaming/eventing) over long runs. int period = 10; double lambda = 0.5; int count = 12050; // Long-running consistency check var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 321); var bars = gbm.Fetch(count, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); var series = bars.Close; // 1. Batch Mode var batchSeries = Rema.Batch(series, period, lambda); double expected = batchSeries.Last.Value; // 2. Span Mode var tValues = series.Values.ToArray(); var spanInput = new ReadOnlySpan(tValues); var spanOutput = new double[tValues.Length]; Rema.Batch(spanInput, spanOutput, period, lambda); double spanResult = spanOutput[^1]; // 3. Streaming Mode var streamingInd = new Rema(period, lambda); 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 Rema(pubSource, period, lambda); for (int i = 0; i < series.Count; i++) { pubSource.Add(series[i]); } double eventingResult = eventingInd.Last.Value; Assert.Equal(expected, spanResult, precision: 9); Assert.Equal(expected, streamingResult, precision: 9); Assert.Equal(expected, eventingResult, precision: 9); } [Fact] public void Prime_ThenUpdate_StateWorksCorrectly() { var rema = new Rema(5); double[] history = [10, 20, 30, 40, 50]; rema.Prime(history); double afterPrime = rema.Last.Value; // After Prime, an isNew=true should advance the state rema.Update(new TValue(DateTime.UtcNow, 60), isNew: true); double afterNewBar = rema.Last.Value; // Values should be different Assert.NotEqual(afterPrime, afterNewBar); // isNew=false with a different value should recalculate from previous state rema.Update(new TValue(DateTime.UtcNow, 70), isNew: false); double afterCorrection = rema.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 rema.Update(new TValue(DateTime.UtcNow, 60), isNew: false); Assert.Equal(afterNewBar, rema.Last.Value, 1e-10); } }