namespace QuanTAlib.Tests; public class McnmaTests { [Fact] public void Mcnma_Matches_ManualCalculation() { // Manual 6-EMA with first-value seeding (matches Pine exactly) const int period = 10; double alpha = 2.0 / (period + 1); double decay = 1.0 - alpha; var mcnma = new Mcnma(period); var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); double e1 = 0, e2 = 0, e3 = 0, e4 = 0, e5 = 0, e6 = 0; bool init = false; for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); var tVal = new TValue(bar.Time, bar.Close); var mVal = mcnma.Update(tVal); double val = tVal.Value; if (!init) { e1 = e2 = e3 = e4 = e5 = e6 = val; init = true; Assert.Equal(val, mVal.Value, 1e-9); continue; } e1 = Math.FusedMultiplyAdd(e1, decay, alpha * val); e2 = Math.FusedMultiplyAdd(e2, decay, alpha * e1); e3 = Math.FusedMultiplyAdd(e3, decay, alpha * e2); double tema1 = 3.0 * e1 - 3.0 * e2 + e3; e4 = Math.FusedMultiplyAdd(e4, decay, alpha * tema1); e5 = Math.FusedMultiplyAdd(e5, decay, alpha * e4); e6 = Math.FusedMultiplyAdd(e6, decay, alpha * e5); double tema2 = 3.0 * e4 - 3.0 * e5 + e6; double expected = 2.0 * tema1 - tema2; Assert.Equal(expected, mVal.Value, 1e-9); } } [Fact] public void StaticCalculate_Matches_ObjectUpdate() { const int period = 10; var source = new TSeries(); var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); source.Add(new TValue(bar.Time, bar.Close)); } var mcnmaSeries = Mcnma.Batch(source, period); var mcnmaObj = new Mcnma(period); for (int i = 0; i < source.Count; i++) { var val = mcnmaObj.Update(source[i]); Assert.Equal(val.Value, mcnmaSeries[i].Value, 1e-9); } } [Fact] public void ZeroAllocCalculate_Matches_ObjectUpdate() { const int period = 10; const int count = 100; var source = new double[count]; var output = new double[count]; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < count; i++) { source[i] = gbm.Next().Close; } Mcnma.Batch(source, output, period); var mcnmaObj = new Mcnma(period); for (int i = 0; i < count; i++) { var val = mcnmaObj.Update(new TValue(DateTime.UtcNow, source[i])); Assert.Equal(val.Value, output[i], 1e-9); } } [Fact] public void Alpha_Constructor_Matches_Period_Constructor() { const int period = 10; double alpha = 2.0 / (period + 1); var mcnmaPeriod = new Mcnma(period); var mcnmaAlpha = new Mcnma(alpha); var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); var tVal = new TValue(bar.Time, bar.Close); var pVal = mcnmaPeriod.Update(tVal); var aVal = mcnmaAlpha.Update(tVal); Assert.Equal(pVal.Value, aVal.Value, 1e-9); } } [Fact] public void Alpha_Constructor_Sets_WarmupPeriod() { const int period = 10; double alpha = 2.0 / (period + 1); var mcnma = new Mcnma(alpha); Assert.Equal(period, mcnma.WarmupPeriod); } [Fact] public void StaticCalculate_Alpha_Matches_ObjectUpdate() { const double alpha = 0.15; var source = new TSeries(); var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < 100; i++) { var bar = gbm.Next(isNew: true); source.Add(new TValue(bar.Time, bar.Close)); } var mcnmaSeries = Mcnma.Batch(source, alpha); var mcnmaObj = new Mcnma(alpha); for (int i = 0; i < source.Count; i++) { var val = mcnmaObj.Update(source[i]); Assert.Equal(val.Value, mcnmaSeries[i].Value, 1e-9); } } [Fact] public void ZeroAllocCalculate_Alpha_Matches_ObjectUpdate() { const double alpha = 0.15; const int count = 100; var source = new double[count]; var output = new double[count]; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); for (int i = 0; i < count; i++) { source[i] = gbm.Next().Close; } Mcnma.Batch(source, output, alpha); var mcnmaObj = new Mcnma(alpha); for (int i = 0; i < count; i++) { var val = mcnmaObj.Update(new TValue(DateTime.UtcNow, source[i])); Assert.Equal(val.Value, output[i], 1e-9); } } [Fact] public void Mcnma_Constructor_ValidatesInput() { Assert.Throws(() => new Mcnma(0)); Assert.Throws(() => new Mcnma(-1)); Assert.Throws(() => new Mcnma(0.0)); Assert.Throws(() => new Mcnma(1.1)); } [Fact] public void Mcnma_Calc_IsNew_AcceptsParameter() { var mcnma = new Mcnma(10); mcnma.Update(new TValue(DateTime.UtcNow, 100), isNew: true); Assert.Equal(100, mcnma.Last.Value); } [Fact] public void Mcnma_Reset_ClearsState() { var mcnma = new Mcnma(10); mcnma.Update(new TValue(DateTime.UtcNow, 100)); mcnma.Update(new TValue(DateTime.UtcNow, 110)); mcnma.Reset(); Assert.Equal(0, mcnma.Last.Value); Assert.False(mcnma.IsHot); } [Fact] public void Mcnma_IterativeCorrections_RestoreToOriginalState() { var mcnma = new Mcnma(10); var gbm = new GBM(startPrice: 100.0, mu: 0.02, sigma: 0.1); TValue tenthInput = default; for (int i = 0; i < 10; i++) { var bar = gbm.Next(isNew: true); tenthInput = new TValue(bar.Time, bar.Close); mcnma.Update(tenthInput, isNew: true); } double valueAfterTen = mcnma.Last.Value; for (int i = 0; i < 9; i++) { var bar = gbm.Next(isNew: false); mcnma.Update(new TValue(bar.Time, bar.Close), isNew: false); } TValue finalValue = mcnma.Update(tenthInput, isNew: false); Assert.Equal(valueAfterTen, finalValue.Value, 1e-9); } [Fact] public void Mcnma_NaN_Input_UsesLastValidValue() { var mcnma = new Mcnma(10); mcnma.Update(new TValue(DateTime.UtcNow, 100)); mcnma.Update(new TValue(DateTime.UtcNow, 110)); var resultAfterNaN = mcnma.Update(new TValue(DateTime.UtcNow, double.NaN)); Assert.True(double.IsFinite(resultAfterNaN.Value)); Assert.NotEqual(0, resultAfterNaN.Value); } [Fact] public void Mcnma_SpanCalc_ValidatesInput() { double[] source = [1, 2, 3, 4, 5]; double[] output = new double[5]; double[] wrongSizeOutput = new double[3]; Assert.Throws(() => Mcnma.Batch(source.AsSpan(), output.AsSpan(), 0)); Assert.Throws(() => Mcnma.Batch(source.AsSpan(), wrongSizeOutput.AsSpan(), 3)); } [Fact] public void Mcnma_SpanCalc_HandlesNaN() { double[] source = [100, 110, double.NaN, 120, 130]; double[] output = new double[5]; Mcnma.Batch(source.AsSpan(), output.AsSpan(), 3); foreach (var val in output) { Assert.True(double.IsFinite(val)); } } [Fact] public void Mcnma_AllModes_ProduceSameResult() { const 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 = Mcnma.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]; Mcnma.Batch(spanInput, spanOutput, period); double spanResult = spanOutput[^1]; // 3. Streaming Mode var streamingInd = new Mcnma(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 Mcnma(pubSource, period); 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 StaticCalculate_HandlesInitialNaN_Correctly() { double[] source = { double.NaN, double.NaN, 10.0, 11.0, 12.0 }; double[] output = new double[source.Length]; Mcnma.Batch(source, output, 3); Assert.True(double.IsNaN(output[0]), $"Output[0] should be NaN, but was {output[0]}"); Assert.True(double.IsNaN(output[1]), $"Output[1] should be NaN, but was {output[1]}"); Assert.Equal(10.0, output[2], 1e-9); } }