diff --git a/lib/oscillators/rrsi/tests/Rrsi.Validation.Tests.cs b/lib/oscillators/rrsi/tests/Rrsi.Validation.Tests.cs
new file mode 100644
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+++ b/lib/oscillators/rrsi/tests/Rrsi.Validation.Tests.cs
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+using System.Runtime.CompilerServices;
+using Xunit;
+using Xunit.Abstractions;
+
+namespace QuanTAlib.Tests;
+
+///
+/// Validates Rocket RSI against manual step-by-step computation of the
+/// Ehlers TASC May 2018 algorithm. No external library implements RocketRSI,
+/// so validation is self-consistency + manual reference implementation.
+///
+public sealed class RrsiValidationTests(ITestOutputHelper output) : IDisposable
+{
+ private readonly ValidationTestData _testData = new();
+ private readonly ITestOutputHelper _output = output;
+ private bool _disposed;
+
+ private const int TestSmooth = 10;
+ private const int TestRsi = 10;
+
+ public void Dispose()
+ {
+ Dispose(disposing: true);
+ }
+
+ private void Dispose(bool disposing)
+ {
+ if (_disposed) { return; }
+ _disposed = true;
+ if (disposing) { _testData?.Dispose(); }
+ }
+
+ #region Manual Computation Cross-Validation
+
+ ///
+ /// Validates that our RocketRSI Batch exactly matches a manual
+ /// step-by-step reference implementation of Ehlers' algorithm.
+ ///
+ [Fact]
+ [SkipLocalsInit]
+ public void Validate_Against_Manual_Computation()
+ {
+ double[] values = _testData.RawData.ToArray();
+ int smoothLength = TestSmooth;
+ int rsiLength = TestRsi;
+
+ // Batch output
+ double[] batchOutput = new double[values.Length];
+ Rrsi.Batch(values.AsSpan(), batchOutput.AsSpan(), smoothLength, rsiLength);
+
+ // Manual reference implementation — Ehlers TASC May 2018
+ double[] manualOutput = ManualRocketRsi(values, smoothLength, rsiLength);
+
+ // Compare after warmup
+ int startIdx = smoothLength + rsiLength;
+ int validCount = 0;
+ for (int i = startIdx; i < values.Length; i++)
+ {
+ Assert.True(Math.Abs(manualOutput[i] - batchOutput[i]) < 1e-9,
+ $"RocketRSI mismatch at i={i}: manual={manualOutput[i]:F9}, batch={batchOutput[i]:F9}");
+ validCount++;
+ }
+
+ Assert.True(validCount > 100, $"Expected >100 valid comparisons, got {validCount}");
+ _output.WriteLine($"RocketRSI manual validation: {validCount} points at 1e-9 tolerance.");
+ }
+
+ ///
+ /// Tests with different parameter combinations.
+ ///
+ [Theory]
+ [InlineData(5, 5)]
+ [InlineData(8, 10)]
+ [InlineData(10, 10)]
+ [InlineData(10, 20)]
+ [InlineData(20, 10)]
+ public void Validate_Manual_DifferentParams(int smoothLength, int rsiLength)
+ {
+ double[] values = _testData.RawData.ToArray();
+
+ double[] batchOutput = new double[values.Length];
+ Rrsi.Batch(values.AsSpan(), batchOutput.AsSpan(), smoothLength, rsiLength);
+
+ double[] manualOutput = ManualRocketRsi(values, smoothLength, rsiLength);
+
+ int startIdx = smoothLength + rsiLength;
+ int validCount = 0;
+ for (int i = startIdx; i < values.Length; i++)
+ {
+ Assert.True(Math.Abs(manualOutput[i] - batchOutput[i]) < 1e-9,
+ $"RocketRSI mismatch at i={i}, smooth={smoothLength}, rsi={rsiLength}: " +
+ $"manual={manualOutput[i]:F9}, batch={batchOutput[i]:F9}");
+ validCount++;
+ }
+
+ Assert.True(validCount > 0, $"No valid comparison points for smooth={smoothLength}, rsi={rsiLength}");
+ _output.WriteLine($"RocketRSI smooth={smoothLength}, rsi={rsiLength}: validated {validCount} points.");
+ }
+
+ ///
+ /// Validates arctanh identity used in Fisher Transform step.
+ ///
+ [Fact]
+ public void Validate_Arctanh_Identity()
+ {
+ double[] testValues = [-0.999, -0.9, -0.5, 0.0, 0.5, 0.9, 0.999];
+
+ foreach (double v in testValues)
+ {
+ double formula = 0.5 * Math.Log((1.0 + v) / (1.0 - v));
+ double builtin = Math.Atanh(v);
+
+ Assert.True(Math.Abs(formula - builtin) < 1e-12,
+ $"arctanh({v}): formula={formula}, builtin={builtin}");
+ }
+
+ _output.WriteLine("arctanh mathematical identity verified for RocketRSI.");
+ }
+
+ #endregion
+
+ #region Consistency Validation
+
+ ///
+ /// Validates streaming matches batch across all data points.
+ ///
+ [Fact]
+ [SkipLocalsInit]
+ public void Validate_Streaming_Batch_Span_Agree()
+ {
+ double[] tData = _testData.RawData.ToArray();
+
+ // Batch TSeries
+ TSeries batchSeries = Rrsi.Batch(_testData.Data, TestSmooth, TestRsi);
+
+ // Batch Span
+ double[] spanOutput = new double[tData.Length];
+ Rrsi.Batch(tData.AsSpan(), spanOutput.AsSpan(), TestSmooth, TestRsi);
+
+ // Batch and Span should be identical
+ for (int i = 0; i < tData.Length; i++)
+ {
+ Assert.Equal(batchSeries.Values[i], spanOutput[i], 12);
+ }
+
+ // Streaming
+ var rrsi = new Rrsi(TestSmooth, TestRsi);
+ double[] streamResults = new double[tData.Length];
+ for (int i = 0; i < tData.Length; i++)
+ {
+ streamResults[i] = rrsi.Update(_testData.Data[i]).Value;
+ }
+
+ // Streaming vs Batch should match
+ for (int i = 0; i < tData.Length; i++)
+ {
+ Assert.Equal(streamResults[i], batchSeries.Values[i], 9);
+ }
+
+ _output.WriteLine("RocketRSI streaming/batch/span agreement verified.");
+ }
+
+ ///
+ /// Validates event-based matches streaming.
+ ///
+ [Fact]
+ [SkipLocalsInit]
+ public void Validate_Event_Matches_Streaming()
+ {
+ // Streaming
+ var streamRrsi = new Rrsi(TestSmooth, TestRsi);
+ double[] streamResults = new double[_testData.Data.Count];
+ for (int i = 0; i < _testData.Data.Count; i++)
+ {
+ streamResults[i] = streamRrsi.Update(_testData.Data[i]).Value;
+ }
+
+ // Event-based
+ var eventSource = new TSeries();
+ var eventRrsi = new Rrsi(eventSource, TestSmooth, TestRsi);
+ double[] eventResults = new double[_testData.Data.Count];
+ for (int i = 0; i < _testData.Data.Count; i++)
+ {
+ eventSource.Add(_testData.Data[i]);
+ eventResults[i] = eventRrsi.Last.Value;
+ }
+
+ for (int i = 0; i < _testData.Data.Count; i++)
+ {
+ Assert.Equal(streamResults[i], eventResults[i], 12);
+ }
+
+ _output.WriteLine("RocketRSI event-based matches streaming.");
+ }
+
+ ///
+ /// All batch outputs must be finite.
+ ///
+ [Theory]
+ [InlineData(5, 5)]
+ [InlineData(10, 10)]
+ [InlineData(20, 20)]
+ [InlineData(50, 10)]
+ public void Validate_All_Outputs_Finite(int smoothLength, int rsiLength)
+ {
+ double[] values = _testData.RawData.ToArray();
+ double[] results = new double[values.Length];
+
+ Rrsi.Batch(values.AsSpan(), results.AsSpan(), smoothLength, rsiLength);
+
+ for (int i = 0; i < values.Length; i++)
+ {
+ Assert.True(double.IsFinite(results[i]),
+ $"RocketRSI not finite at i={i}, smooth={smoothLength}, rsi={rsiLength}: {results[i]}");
+ }
+
+ _output.WriteLine($"RocketRSI smooth={smoothLength}, rsi={rsiLength}: all {values.Length} outputs finite.");
+ }
+
+ #endregion
+
+ #region Super Smoother Component Validation
+
+ ///
+ /// Validates that the Super Smoother coefficients satisfy the constraint c1 + c2 + c3 = 1
+ /// (unity DC gain).
+ ///
+ [Theory]
+ [InlineData(5)]
+ [InlineData(8)]
+ [InlineData(10)]
+ [InlineData(20)]
+ [InlineData(50)]
+ public void Validate_SuperSmoother_Coefficients_UnitGain(int smoothLength)
+ {
+ double a1 = Math.Exp(-1.414 * Math.PI / smoothLength);
+ double b1 = 2.0 * a1 * Math.Cos(1.414 * Math.PI / smoothLength);
+ double c2 = b1;
+ double c3 = -(a1 * a1);
+ double c1 = 1.0 - c2 - c3;
+
+ double sum = c1 + c2 + c3;
+ Assert.True(Math.Abs(sum - 1.0) < 1e-12,
+ $"SuperSmoother DC gain should be 1.0, got {sum} for smoothLength={smoothLength}");
+
+ _output.WriteLine($"SuperSmoother coefficients for L={smoothLength}: c1={c1:F6}, c2={c2:F6}, c3={c3:F6}, sum={sum:F12}");
+ }
+
+ #endregion
+
+ #region Manual Reference Implementation
+
+ ///
+ /// Pure reference implementation of Ehlers Rocket RSI (TASC May 2018).
+ /// This is a direct transcription of the EasyLanguage code for verification.
+ ///
+ private static double[] ManualRocketRsi(double[] source, int smoothLength, int rsiLength)
+ {
+ int len = source.Length;
+ double[] output = new double[len];
+ double[] mom = new double[len];
+ double[] filt = new double[len];
+
+ // Super Smoother coefficients
+ double a1 = Math.Exp(-1.414 * Math.PI / smoothLength);
+ double b1 = 2.0 * a1 * Math.Cos(1.414 * Math.PI / smoothLength);
+ double c2 = b1;
+ double c3 = -(a1 * a1);
+ double c1 = 1.0 - c2 - c3;
+
+ // Pass 1: Momentum
+ for (int i = 0; i < len; i++)
+ {
+ mom[i] = (i >= rsiLength - 1) ? source[i] - source[i - rsiLength + 1] : 0.0;
+ }
+
+ // Pass 2: Super Smoother Filter
+ filt[0] = mom[0];
+ if (len > 1)
+ {
+ filt[1] = (c1 * (mom[1] + mom[0]) * 0.5) + (c2 * filt[0]);
+ }
+ for (int i = 2; i < len; i++)
+ {
+ filt[i] = (c1 * (mom[i] + mom[i - 1]) * 0.5) + (c2 * filt[i - 1]) + (c3 * filt[i - 2]);
+ }
+
+ // Pass 3: Ehlers RSI + Fisher Transform
+ for (int i = 0; i < len; i++)
+ {
+ double cu = 0.0;
+ double cd = 0.0;
+ int lookback = Math.Min(rsiLength, i);
+
+ for (int j = 0; j < lookback; j++)
+ {
+ double diff = filt[i - j] - filt[i - j - 1];
+ if (diff > 0.0)
+ {
+ cu += diff;
+ }
+ else if (diff < 0.0)
+ {
+ cd -= diff;
+ }
+ }
+
+ double cuCd = cu + cd;
+ double myRsi = (cuCd > 1e-10) ? (cu - cd) / cuCd : 0.0;
+
+ // Clamp
+ if (myRsi > 0.999) { myRsi = 0.999; }
+ else if (myRsi < -0.999) { myRsi = -0.999; }
+
+ output[i] = 0.5 * Math.Log((1.0 + myRsi) / (1.0 - myRsi));
+ }
+
+ return output;
+ }
+
+ #endregion
+}