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@@ -87,27 +87,37 @@ public class LogtransValidationTests
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}
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[Fact]
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public void Logtrans_ProductRule()
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public void Logtrans_ZeroInput_UsesLastValid()
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{
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// ln(a*b) = ln(a) + ln(b)
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double a = 2.5;
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double b = 3.7;
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// Zero input uses last valid value (robustness pattern)
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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indicator.Update(new TValue(time, a));
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double lnA = indicator.Last.Value;
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// First update with valid value
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indicator.Update(new TValue(time, Math.E));
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double lastValid = indicator.Last.Value; // ln(e) = 1.0
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indicator.Reset();
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indicator.Update(new TValue(time, b));
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double lnB = indicator.Last.Value;
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// Zero input - should use last valid
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indicator.Update(new TValue(time.AddMinutes(1), 0.0));
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indicator.Reset();
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indicator.Update(new TValue(time, a * b));
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double lnAB = indicator.Last.Value;
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Assert.Equal(lastValid, indicator.Last.Value, Tolerance);
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}
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Assert.Equal(lnA + lnB, lnAB, Tolerance);
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[Fact]
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public void Logtrans_NegativeInput_UsesLastValid()
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{
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// Negative input uses last valid value (robustness pattern)
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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// First update with valid value
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indicator.Update(new TValue(time, 2.0));
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double lastValid = indicator.Last.Value; // ln(2)
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// Negative input - should use last valid
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indicator.Update(new TValue(time.AddMinutes(1), -1.0));
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Assert.Equal(lastValid, indicator.Last.Value, Tolerance);
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}
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[Fact]
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@@ -153,4 +163,111 @@ public class LogtransValidationTests
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Assert.Equal(n * lnA, lnAPowN, Tolerance);
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}
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}
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[Fact]
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public void Logtrans_VerySmallPositive_ApproachesNegativeInfinity()
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{
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// ln(ε) → -∞ as ε → 0+
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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indicator.Update(new TValue(time, double.Epsilon));
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double result = indicator.Last.Value;
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Assert.True(double.IsFinite(result));
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Assert.True(result < -700); // ln(double.Epsilon) ≈ -744
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}
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[Fact]
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public void Logtrans_VeryLargeValue_Handles()
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{
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// ln(large) should be finite
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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indicator.Update(new TValue(time, 1e300));
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double result = indicator.Last.Value;
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Assert.True(double.IsFinite(result));
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Assert.Equal(Math.Log(1e300), result, Tolerance);
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}
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[Fact]
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public void Logtrans_Span_ZeroInput_UsesLastValid()
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{
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// Span API: zero input uses last valid value (robustness pattern)
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var values = new double[] { 2.0, 0.0, 3.0 };
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var output = new double[3];
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Logtrans.Calculate(values, output);
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Assert.Equal(Math.Log(2.0), output[0], Tolerance); // ln(2)
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Assert.Equal(Math.Log(2.0), output[1], Tolerance); // zero -> uses last valid (ln(2))
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Assert.Equal(Math.Log(3.0), output[2], Tolerance); // ln(3)
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}
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[Fact]
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public void Logtrans_Span_NegativeInput_UsesLastValid()
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{
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// Span API: negative input uses last valid value (robustness pattern)
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var values = new double[] { 2.0, -5.0, 3.0 };
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var output = new double[3];
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Logtrans.Calculate(values, output);
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Assert.Equal(Math.Log(2.0), output[0], Tolerance); // ln(2)
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Assert.Equal(Math.Log(2.0), output[1], Tolerance); // negative -> uses last valid (ln(2))
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Assert.Equal(Math.Log(3.0), output[2], Tolerance); // ln(3)
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}
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[Fact]
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public void Logtrans_NaNInput_UsesLastValid()
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{
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// NaN input uses last valid value (robustness pattern)
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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// First update with valid value
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indicator.Update(new TValue(time, Math.E));
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double lastValid = indicator.Last.Value; // ln(e) = 1.0
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// NaN input - should use last valid
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indicator.Update(new TValue(time.AddMinutes(1), double.NaN));
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Assert.Equal(lastValid, indicator.Last.Value, Tolerance);
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}
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[Fact]
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public void Logtrans_PositiveInfinityInput_UsesLastValid()
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{
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// Positive infinity input uses last valid value (robustness pattern)
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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// First update with valid value
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indicator.Update(new TValue(time, 10.0));
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double lastValid = indicator.Last.Value; // ln(10)
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// Positive infinity input - should use last valid
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indicator.Update(new TValue(time.AddMinutes(1), double.PositiveInfinity));
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Assert.Equal(lastValid, indicator.Last.Value, Tolerance);
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}
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[Fact]
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public void Logtrans_NegativeInfinityInput_UsesLastValid()
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{
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// Negative infinity input uses last valid value (robustness pattern)
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var indicator = new Logtrans();
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var time = DateTime.UtcNow;
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// First update with valid value
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indicator.Update(new TValue(time, 5.0));
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double lastValid = indicator.Last.Value; // ln(5)
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// Negative infinity input - should use last valid
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indicator.Update(new TValue(time.AddMinutes(1), double.NegativeInfinity));
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Assert.Equal(lastValid, indicator.Last.Value, Tolerance);
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}
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}
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