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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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@@ -2,9 +2,6 @@
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// Transforms values using natural logarithm (base e)
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using System.Runtime.CompilerServices;
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using System.Numerics;
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using System.Runtime.Intrinsics;
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using System.Runtime.Intrinsics.X86;
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namespace QuanTAlib;
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@@ -102,7 +99,8 @@ public sealed class Logtrans : AbstractBase
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}
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/// <summary>
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/// Calculates natural logarithm over a span of values using SIMD when available.
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/// Calculates natural logarithm over a span of values.
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/// Note: Math.Log has no SIMD intrinsic; uses scalar path with last-valid substitution.
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/// </summary>
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public static void Calculate(ReadOnlySpan<double> source, Span<double> output)
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{
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@@ -112,34 +110,8 @@ public sealed class Logtrans : AbstractBase
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throw new ArgumentException("Output length must be >= source length", nameof(output));
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double lastValid = 0.0;
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int i = 0;
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// SIMD path for AVX2 (process 4 doubles at a time)
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if (Avx2.IsSupported && source.Length >= Vector256<double>.Count)
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{
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int vectorLength = source.Length - (source.Length % Vector256<double>.Count);
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for (; i < vectorLength; i += Vector256<double>.Count)
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{
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// Process scalar for proper last-valid handling (Logtrans has no SIMD intrinsic)
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for (int j = 0; j < Vector256<double>.Count; j++)
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{
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double val = source[i + j];
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if (double.IsFinite(val) && val > 0)
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{
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lastValid = Math.Log(val);
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output[i + j] = lastValid;
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}
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else
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{
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output[i + j] = lastValid;
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}
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}
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}
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}
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// Scalar fallback for remaining elements
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for (; i < source.Length; i++)
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for (int i = 0; i < source.Length; i++)
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{
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double val = source[i];
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if (double.IsFinite(val) && val > 0)
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