namespace QuanTAlib.Tests; public class WrmseTests { [Fact] public void Constructor_ValidatesInput() { Assert.Throws(() => new Wrmse(0)); Assert.Throws(() => new Wrmse(-1)); var wrmse = new Wrmse(10); Assert.NotNull(wrmse); } [Fact] public void Properties_Accessible() { var wrmse = new Wrmse(10); Assert.Equal(0, wrmse.Last.Value); Assert.False(wrmse.IsHot); Assert.Contains("Wrmse", wrmse.Name, StringComparison.Ordinal); wrmse.Update(100, 105); Assert.NotEqual(0, wrmse.Last.Time); } [Fact] public void IsHot_BecomesTrueWhenBufferFull() { const int period = 5; var wrmse = new Wrmse(period); for (int i = 0; i < period - 1; i++) { Assert.False(wrmse.IsHot); wrmse.Update(i * 10, i * 10 + 5); } wrmse.Update((period - 1) * 10, (period - 1) * 10 + 5); Assert.True(wrmse.IsHot); } [Fact] public void Wrmse_WithUniformWeights_EqualsRmse() { var wrmse = new Wrmse(5); var rmse = new Rmse(5); for (int i = 0; i < 20; i++) { wrmse.Update(i * 10, i * 10 + 7); rmse.Update(i * 10, i * 10 + 7); } // With default weight of 1.0, WRMSE should equal RMSE Assert.Equal(rmse.Last.Value, wrmse.Last.Value, 10); } [Fact] public void Wrmse_CalculatesCorrectlyWithWeights() { var wrmse = new Wrmse(3); // (10 - 15)² = 25, weight = 1.0 // Weighted error = 1.0 * 25 = 25, sum weights = 1.0 // WRMSE = √(25/1) = 5 var res1 = wrmse.Update(10, 15, 1.0); Assert.Equal(5.0, res1.Value, 10); // (20 - 30)² = 100, weight = 2.0 // Weighted errors = 25 + 200 = 225, sum weights = 1 + 2 = 3 // WRMSE = √(225/3) = √75 var res2 = wrmse.Update(20, 30, 2.0); Assert.Equal(Math.Sqrt(75.0), res2.Value, 10); // (30 - 25)² = 25, weight = 3.0 // Weighted errors = 25 + 200 + 75 = 300, sum weights = 1 + 2 + 3 = 6 // WRMSE = √(300/6) = √50 var res3 = wrmse.Update(30, 25, 3.0); Assert.Equal(Math.Sqrt(50.0), res3.Value, 10); } [Fact] public void Wrmse_HigherWeightsHaveMoreInfluence() { var wrmse1 = new Wrmse(2); var wrmse2 = new Wrmse(2); // First scenario: low weight on large error wrmse1.Update(10, 10, 10.0); // error=0, weight=10 wrmse1.Update(10, 20, 1.0); // error=100, weight=1 // Second scenario: high weight on large error wrmse2.Update(10, 10, 1.0); // error=0, weight=1 wrmse2.Update(10, 20, 10.0); // error=100, weight=10 // wrmse2 should be higher because the large error has more weight Assert.True(wrmse2.Last.Value > wrmse1.Last.Value); } [Fact] public void Wrmse_PerfectPrediction_ReturnsZero() { var wrmse = new Wrmse(5); for (int i = 0; i < 10; i++) { wrmse.Update(i * 10, i * 10, i + 1.0); } Assert.Equal(0.0, wrmse.Last.Value, 10); } [Fact] public void Wrmse_ConstantError_ConstantWeight() { var wrmse = new Wrmse(5); for (int i = 0; i < 10; i++) { wrmse.Update(100, 110, 2.0); // Constant error of 10, weight of 2 } // Weighted error = 2 * 100 = 200, sum weights = 2 // WRMSE = √(200/2) = √100 = 10 Assert.Equal(10.0, wrmse.Last.Value, 10); } [Fact] public void Calc_IsNew_False_UpdatesValue() { var wrmse = new Wrmse(10); wrmse.Update(100, 110, 1.0); wrmse.Update(100, 120, 1.0, isNew: true); double beforeUpdate = wrmse.Last.Value; wrmse.Update(100, 130, 1.0, isNew: false); double afterUpdate = wrmse.Last.Value; Assert.NotEqual(beforeUpdate, afterUpdate); } [Fact] public void IterativeCorrections_RestoreToOriginalState() { var wrmse = new Wrmse(5); double tenthActual = 0; double tenthPredicted = 0; double tenthWeight = 0; for (int i = 0; i < 10; i++) { tenthActual = i * 10; tenthPredicted = i * 10 + 5; tenthWeight = i + 1.0; wrmse.Update(tenthActual, tenthPredicted, tenthWeight); } double stateAfterTen = wrmse.Last.Value; for (int i = 0; i < 5; i++) { wrmse.Update(100 + i, 200 + i, 5.0, isNew: false); } wrmse.Update(tenthActual, tenthPredicted, tenthWeight, isNew: false); Assert.Equal(stateAfterTen, wrmse.Last.Value, 10); } [Fact] public void Reset_ClearsState() { var wrmse = new Wrmse(5); for (int i = 0; i < 10; i++) { wrmse.Update(i * 10, i * 10 + 5, i + 1.0); } Assert.True(wrmse.IsHot); wrmse.Reset(); Assert.False(wrmse.IsHot); Assert.Equal(0, wrmse.Last.Value); } [Fact] public void NaN_Input_UsesLastValidValue() { var wrmse = new Wrmse(5); wrmse.Update(100, 110, 1.0); wrmse.Update(110, 120, 2.0); var result = wrmse.Update(double.NaN, double.NaN, double.NaN); Assert.True(double.IsFinite(result.Value)); } [Fact] public void NegativeWeight_UsesLastValidWeight() { var wrmse = new Wrmse(5); wrmse.Update(100, 110, 2.0); var beforeResult = wrmse.Last.Value; wrmse.Update(100, 110, -1.0); // Negative weight should use last valid (2.0) // Both should compute same result since same weight is used Assert.Equal(beforeResult, wrmse.Last.Value, 10); } [Fact] public void Wrmse_Throws_On_Single_Input() { var wrmse = new Wrmse(10); Assert.Throws(() => wrmse.Update(new TValue(DateTime.UtcNow, 1))); Assert.Throws(() => wrmse.Update(new TSeries())); Assert.Throws(() => wrmse.Prime([1, 2, 3])); } [Fact] public void BatchSpan_UniformWeights_MatchesStreaming() { int period = 5; int count = 100; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123); double[] actual = new double[count]; double[] predicted = new double[count]; for (int i = 0; i < count; i++) { var bar = gbm.Next(); actual[i] = bar.Close; predicted[i] = bar.Close * 1.05 + 2; } var wrmse = new Wrmse(period); var streamingResults = new double[count]; for (int i = 0; i < count; i++) { streamingResults[i] = wrmse.Update(actual[i], predicted[i]).Value; } double[] batchResults = new double[count]; Wrmse.Batch(actual, predicted, batchResults, period); for (int i = 0; i < count; i++) { Assert.Equal(streamingResults[i], batchResults[i], 9); } } [Fact] public void BatchSpan_WithWeights_MatchesStreaming() { int period = 5; int count = 100; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 456); double[] actual = new double[count]; double[] predicted = new double[count]; double[] weights = new double[count]; for (int i = 0; i < count; i++) { var bar = gbm.Next(); actual[i] = bar.Close; predicted[i] = bar.Close * 1.05 + 2; weights[i] = (i % 5) + 1.0; // Varying weights 1-5 } var wrmse = new Wrmse(period); var streamingResults = new double[count]; for (int i = 0; i < count; i++) { streamingResults[i] = wrmse.Update(actual[i], predicted[i], weights[i]).Value; } double[] batchResults = new double[count]; Wrmse.Batch(actual, predicted, weights, batchResults, period); for (int i = 0; i < count; i++) { Assert.Equal(streamingResults[i], batchResults[i], 9); } } [Fact] public void BatchSpan_ValidatesInput() { double[] actual = [1, 2, 3, 4, 5]; double[] predicted = [1, 2, 3, 4, 5]; double[] weights = [1, 1, 1, 1, 1]; double[] output = new double[5]; Assert.Throws(() => Wrmse.Batch(actual.AsSpan(), predicted.AsSpan(), output.AsSpan(), 0)); Assert.Throws(() => Wrmse.Batch(actual.AsSpan(), predicted.AsSpan(), new double[3].AsSpan(), 3)); Assert.Throws(() => Wrmse.Batch(actual.AsSpan(), predicted.AsSpan(), weights.AsSpan(), new double[3].AsSpan(), 3)); } [Fact] public void Calculate_Works_UniformWeights() { var actual = new TSeries(); var predicted = new TSeries(); var now = DateTime.UtcNow; for (int i = 0; i < 10; i++) { actual.Add(now.AddMinutes(i), i * 10); predicted.Add(now.AddMinutes(i), i * 10 + 5); } var results = Wrmse.Batch(actual, predicted, 3); Assert.Equal(10, results.Count); // All errors are 5, MSE = 25, RMSE = 5 Assert.Equal(5.0, results.Last.Value, 10); } [Fact] public void Calculate_Works_CustomWeights() { var actual = new TSeries(); var predicted = new TSeries(); var weights = new TSeries(); var now = DateTime.UtcNow; for (int i = 0; i < 10; i++) { actual.Add(now.AddMinutes(i), 100.0); predicted.Add(now.AddMinutes(i), 110.0); // Error = 10, Squared = 100 weights.Add(now.AddMinutes(i), 2.0); // Weight = 2 } var results = Wrmse.Batch(actual, predicted, weights, 3); Assert.Equal(10, results.Count); // Weighted error = 2 * 100 = 200 per point, sum weights = 6 (period=3) // WRMSE = √(600/6) = √100 = 10 Assert.Equal(10.0, results.Last.Value, 10); } [Fact] public void Calculate_ThrowsOnMismatchedLengths() { var actual = new TSeries(); var predicted = new TSeries(); var now = DateTime.UtcNow; for (int i = 0; i < 10; i++) { actual.Add(now.AddMinutes(i), i * 10); if (i < 5) { predicted.Add(now.AddMinutes(i), i * 10 + 5); } } Assert.Throws(() => Wrmse.Batch(actual, predicted, 3)); } [Fact] public void Calculate_ThrowsOnMismatchedWeightsLength() { var actual = new TSeries(); var predicted = new TSeries(); var weights = new TSeries(); var now = DateTime.UtcNow; for (int i = 0; i < 10; i++) { actual.Add(now.AddMinutes(i), i * 10); predicted.Add(now.AddMinutes(i), i * 10 + 5); if (i < 5) { weights.Add(now.AddMinutes(i), 1.0); } } Assert.Throws(() => Wrmse.Batch(actual, predicted, weights, 3)); } [Fact] public void UniformWeightsBatch_MatchesRmseBatch() { int period = 5; int count = 50; var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 789); double[] actual = new double[count]; double[] predicted = new double[count]; for (int i = 0; i < count; i++) { var bar = gbm.Next(); actual[i] = bar.Close; predicted[i] = bar.Close * 1.03; } double[] wrmseResults = new double[count]; double[] rmseResults = new double[count]; Wrmse.Batch(actual, predicted, wrmseResults, period); Rmse.Batch(actual, predicted, rmseResults, period); for (int i = 0; i < count; i++) { Assert.Equal(rmseResults[i], wrmseResults[i], 9); } } }