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SIMD Refactor: Merge simd-dev into dev (#55)
Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com> Co-authored-by: aider (openrouter/anthropic/claude-sonnet-4) <aider@aider.chat> Co-authored-by: Warp <agent@warp.dev>
This commit is contained in:
co-authored by
Claude Opus 4.5
aider
Warp
parent
5bcdf8d614
commit
86fe32a682
@@ -0,0 +1,359 @@
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namespace QuanTAlib.Tests;
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public class MaeTests
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{
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[Fact]
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public void Constructor_ValidatesInput()
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{
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Assert.Throws<ArgumentException>(() => new Mae(0));
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Assert.Throws<ArgumentException>(() => new Mae(-1));
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var mae = new Mae(10);
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Assert.NotNull(mae);
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}
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[Fact]
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public void Properties_Accessible()
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{
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var mae = new Mae(10);
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Assert.Equal(0, mae.Last.Value);
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Assert.False(mae.IsHot);
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Assert.Contains("Mae", mae.Name, StringComparison.Ordinal);
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mae.Update(100, 105);
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Assert.NotEqual(0, mae.Last.Time);
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}
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[Fact]
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public void IsHot_BecomesTrueWhenBufferFull()
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{
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const int period = 5;
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var mae = new Mae(period);
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for (int i = 0; i < period - 1; i++)
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{
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Assert.False(mae.IsHot, $"IsHot should be false at index {i}");
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mae.Update(i * 10, i * 10 + 5);
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}
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mae.Update((period - 1) * 10, (period - 1) * 10 + 5);
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Assert.True(mae.IsHot, "IsHot should be true after period updates");
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}
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[Fact]
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public void Mae_CalculatesCorrectly()
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{
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var mae = new Mae(3);
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// |10 - 15| = 5
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var res1 = mae.Update(10, 15);
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Assert.Equal(5.0, res1.Value, 10);
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// |20 - 30| = 10, Mean = (5 + 10) / 2 = 7.5
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var res2 = mae.Update(20, 30);
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Assert.Equal(7.5, res2.Value, 10);
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// |30 - 25| = 5, Mean = (5 + 10 + 5) / 3 = 6.666...
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var res3 = mae.Update(30, 25);
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Assert.Equal(20.0 / 3.0, res3.Value, 10);
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// |40 - 35| = 5, Window slides: (10 + 5 + 5) / 3 = 6.666...
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var res4 = mae.Update(40, 35);
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Assert.Equal(20.0 / 3.0, res4.Value, 10);
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}
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[Fact]
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public void Mae_PerfectPrediction_ReturnsZero()
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{
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var mae = new Mae(5);
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for (int i = 0; i < 10; i++)
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{
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mae.Update(i * 10, i * 10); // Perfect prediction
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}
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Assert.Equal(0.0, mae.Last.Value, 10);
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}
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[Fact]
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public void Mae_ConstantError_ReturnsConstant()
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{
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var mae = new Mae(5);
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for (int i = 0; i < 10; i++)
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{
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mae.Update(100, 110); // Constant error of 10
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}
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Assert.Equal(10.0, mae.Last.Value, 10);
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}
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[Fact]
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public void Mae_NegativeError_TakesAbsoluteValue()
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{
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var mae = new Mae(3);
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// Error = |15 - 10| = 5 (predicted > actual)
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mae.Update(10, 15);
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// Error = |20 - 30| = 10 (predicted > actual)
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mae.Update(20, 30);
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// Error = |50 - 25| = 25 (predicted < actual)
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mae.Update(50, 25);
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// Mean = (5 + 10 + 25) / 3 = 40 / 3
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Assert.Equal(40.0 / 3.0, mae.Last.Value, 10);
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}
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[Fact]
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public void Calc_IsNew_AcceptsParameter()
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{
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var mae = new Mae(10);
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mae.Update(100, 110, isNew: true);
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double value1 = mae.Last.Value;
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mae.Update(100, 120, isNew: true);
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double value2 = mae.Last.Value;
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Assert.NotEqual(value1, value2);
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}
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[Fact]
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public void Calc_IsNew_False_UpdatesValue()
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{
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var mae = new Mae(10);
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mae.Update(100, 110);
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mae.Update(100, 120, isNew: true);
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double beforeUpdate = mae.Last.Value;
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mae.Update(100, 130, isNew: false);
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double afterUpdate = mae.Last.Value;
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Assert.NotEqual(beforeUpdate, afterUpdate);
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}
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[Fact]
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public void IterativeCorrections_RestoreToOriginalState()
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{
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var mae = new Mae(5);
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double tenthActual = 0;
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double tenthPredicted = 0;
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// Feed 10 updates
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for (int i = 0; i < 10; i++)
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{
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tenthActual = i * 10;
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tenthPredicted = i * 10 + 5;
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mae.Update(tenthActual, tenthPredicted);
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}
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double stateAfterTen = mae.Last.Value;
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// Apply 5 corrections with isNew=false
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for (int i = 0; i < 5; i++)
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{
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mae.Update(100 + i, 200 + i, isNew: false);
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}
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// Restore to original values
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mae.Update(tenthActual, tenthPredicted, isNew: false);
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Assert.Equal(stateAfterTen, mae.Last.Value, 10);
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}
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[Fact]
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public void Reset_ClearsState()
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{
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var mae = new Mae(5);
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for (int i = 0; i < 10; i++)
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{
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mae.Update(i * 10, i * 10 + 5);
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}
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Assert.True(mae.IsHot);
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mae.Reset();
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Assert.False(mae.IsHot);
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Assert.Equal(0, mae.Last.Value);
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}
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[Fact]
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public void NaN_Input_UsesLastValidValue()
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{
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var mae = new Mae(5);
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mae.Update(100, 110);
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mae.Update(110, 120);
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mae.Update(120, 130);
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var result = mae.Update(double.NaN, double.NaN);
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Assert.True(double.IsFinite(result.Value));
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}
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[Fact]
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public void Infinity_Input_UsesLastValidValue()
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{
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var mae = new Mae(5);
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mae.Update(100, 110);
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mae.Update(110, 120);
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var result = mae.Update(double.PositiveInfinity, double.NegativeInfinity);
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Assert.True(double.IsFinite(result.Value));
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}
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[Fact]
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public void MultipleNaN_ContinuesWithLastValid()
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{
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var mae = new Mae(5);
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mae.Update(100, 110);
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mae.Update(110, 120);
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mae.Update(120, 130);
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var r1 = mae.Update(double.NaN, double.NaN);
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var r2 = mae.Update(double.NaN, double.NaN);
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var r3 = mae.Update(double.NaN, double.NaN);
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Assert.True(double.IsFinite(r1.Value));
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Assert.True(double.IsFinite(r2.Value));
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Assert.True(double.IsFinite(r3.Value));
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}
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[Fact]
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public void Mae_Throws_On_Single_Input()
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{
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var mae = new Mae(10);
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Assert.Throws<NotSupportedException>(() => mae.Update(new TValue(DateTime.UtcNow, 1)));
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Assert.Throws<NotSupportedException>(() => mae.Update(new TSeries()));
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Assert.Throws<NotSupportedException>(() => mae.Prime([1, 2, 3]));
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}
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[Fact]
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public void BatchSpan_MatchesStreaming()
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{
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int period = 5;
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int count = 100;
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var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123);
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double[] actual = new double[count];
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double[] predicted = new double[count];
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for (int i = 0; i < count; i++)
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{
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var bar = gbm.Next();
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actual[i] = bar.Close;
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predicted[i] = bar.Close * 1.05 + 2; // Offset prediction
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}
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// Streaming
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var mae = new Mae(period);
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var streamingResults = new double[count];
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for (int i = 0; i < count; i++)
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{
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streamingResults[i] = mae.Update(actual[i], predicted[i]).Value;
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}
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// Batch
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double[] batchResults = new double[count];
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Mae.Batch(actual, predicted, batchResults, period);
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// Compare
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for (int i = 0; i < count; i++)
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{
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Assert.Equal(streamingResults[i], batchResults[i], 9);
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}
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}
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[Fact]
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public void BatchSpan_ValidatesInput()
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{
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double[] actual = [1, 2, 3, 4, 5];
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double[] predicted = [1, 2, 3, 4, 5];
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double[] output = new double[5];
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double[] wrongSizeOutput = new double[3];
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double[] wrongSizePredicted = new double[3];
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// Period must be > 0
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Assert.Throws<ArgumentException>(() =>
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Mae.Batch(actual.AsSpan(), predicted.AsSpan(), output.AsSpan(), 0));
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Assert.Throws<ArgumentException>(() =>
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Mae.Batch(actual.AsSpan(), predicted.AsSpan(), output.AsSpan(), -1));
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// Output must be same length as source
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Assert.Throws<ArgumentException>(() =>
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Mae.Batch(actual.AsSpan(), predicted.AsSpan(), wrongSizeOutput.AsSpan(), 3));
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// Predicted must be same length as actual
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Assert.Throws<ArgumentException>(() =>
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Mae.Batch(actual.AsSpan(), wrongSizePredicted.AsSpan(), output.AsSpan(), 3));
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}
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[Fact]
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public void Calculate_Works()
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{
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var actual = new TSeries();
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var predicted = new TSeries();
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var now = DateTime.UtcNow;
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for (int i = 0; i < 10; i++)
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{
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actual.Add(now.AddMinutes(i), i * 10);
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predicted.Add(now.AddMinutes(i), i * 10 + 5);
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}
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var results = Mae.Calculate(actual, predicted, 3);
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Assert.Equal(10, results.Count);
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// All errors are 5, so MAE should be 5
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Assert.Equal(5.0, results.Last.Value, 10);
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}
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[Fact]
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public void Calculate_ValidatesMismatchedLengths()
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{
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var actual = new TSeries();
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var predicted = new TSeries();
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for (int i = 0; i < 10; i++) actual.Add(DateTime.UtcNow, i);
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for (int i = 0; i < 5; i++) predicted.Add(DateTime.UtcNow, i);
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Assert.Throws<ArgumentException>(() => Mae.Calculate(actual, predicted, 3));
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}
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[Fact]
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public void BatchSpan_HandlesNaN()
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{
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double[] actual = [100, 110, double.NaN, 130, 140];
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double[] predicted = [105, 115, 125, double.NaN, 145];
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double[] output = new double[5];
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Mae.Batch(actual, predicted, output, 3);
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foreach (var val in output)
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{
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Assert.True(double.IsFinite(val), $"Expected finite value but got {val}");
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}
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}
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[Fact]
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public void Mae_Resync_Works()
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{
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var mae = new Mae(5);
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// Force many updates to trigger resync (ResyncInterval = 1000)
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for (int i = 0; i < 1100; i++)
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{
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mae.Update(i, i + 10); // Constant error of 10
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}
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// After resync, result should still be correct
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Assert.Equal(10.0, mae.Last.Value, 10);
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}
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}
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@@ -0,0 +1,74 @@
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using MathNet.Numerics;
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using QuanTAlib.Tests;
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namespace QuanTAlib.Validation;
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public sealed class MaeValidationTests : IDisposable
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{
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private readonly ValidationTestData _data = new();
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public void Dispose() => _data.Dispose();
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[Fact]
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public void Mae_Matches_MathNet()
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{
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int[] periods = { 5, 10, 20, 50, 100 };
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var quotes = _data.SkenderQuotes.ToList();
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double[] actual = quotes.Select(q => (double)q.Close).ToArray();
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double[] predicted = quotes.Select(q => (double)q.Open).ToArray();
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foreach (int period in periods)
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{
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var mae = new Mae(period);
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for (int i = 0; i < actual.Length; i++)
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{
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var val = mae.Update(
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new TValue(quotes[i].Date, actual[i]),
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new TValue(quotes[i].Date, predicted[i]));
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// Validate last 100 bars
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if (i >= actual.Length - 100 && i >= period - 1)
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{
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var windowActual = actual[(i - period + 1)..(i + 1)];
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var windowPredicted = predicted[(i - period + 1)..(i + 1)];
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double expected = Distance.MAE(windowActual, windowPredicted);
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Assert.Equal(expected, val.Value, 1e-9);
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}
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}
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}
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}
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[Fact]
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public void Mae_Batch_Matches_MathNet()
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{
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int[] periods = { 5, 10, 20, 50, 100 };
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var quotes = _data.SkenderQuotes.ToList();
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double[] actual = quotes.Select(q => (double)q.Close).ToArray();
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double[] predicted = quotes.Select(q => (double)q.Open).ToArray();
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foreach (int period in periods)
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{
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double[] output = new double[actual.Length];
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Mae.Batch(actual, predicted, output, period);
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// Validate last 100 bars
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for (int i = actual.Length - 100; i < actual.Length; i++)
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{
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if (i >= period - 1)
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{
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var windowActual = actual[(i - period + 1)..(i + 1)];
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var windowPredicted = predicted[(i - period + 1)..(i + 1)];
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double expected = Distance.MAE(windowActual, windowPredicted);
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Assert.Equal(expected, output[i], 1e-9);
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}
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}
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}
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}
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}
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@@ -0,0 +1,89 @@
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using System.Buffers;
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// MAE: Mean Absolute Error
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/// </summary>
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/// <remarks>
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/// MAE measures the average magnitude of errors between paired observations,
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/// without considering their direction. It is the mean of the absolute differences
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/// between actual and predicted values.
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///
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/// Formula:
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/// MAE = (1/n) * Σ|actual - predicted|
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///
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/// Uses a RingBuffer for O(1) streaming updates with running sum.
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///
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/// Key properties:
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/// - Always non-negative (MAE ≥ 0)
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/// - Same units as the original data
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/// - Less sensitive to outliers than MSE/RMSE
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/// - MAE = 0 indicates perfect prediction
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Mae : BiInputIndicatorBase
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{
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/// <summary>
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/// Creates MAE with specified period.
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/// </summary>
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/// <param name="period">Number of values to average (must be > 0)</param>
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public Mae(int period) : base(period, $"Mae({period})") { }
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/// <summary>
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/// Computes absolute error: |actual - predicted|
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/// </summary>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override double ComputeError(double actual, double predicted)
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=> Math.Abs(actual - predicted);
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/// <summary>
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/// Calculates MAE for the entire series pair.
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/// </summary>
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/// <param name="actual">Actual values series</param>
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/// <param name="predicted">Predicted values series</param>
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/// <param name="period">MAE period</param>
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/// <returns>MAE series</returns>
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public static TSeries Calculate(TSeries actual, TSeries predicted, int period)
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=> CalculateImpl(actual, predicted, period, Batch);
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/// <summary>
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/// Calculates MAE in-place using pre-allocated spans.
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/// Uses SIMD acceleration when available.
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/// </summary>
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/// <param name="actual">Actual values</param>
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/// <param name="predicted">Predicted values</param>
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/// <param name="output">Output span (must be same length as inputs)</param>
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/// <param name="period">MAE period (must be > 0)</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public static void Batch(ReadOnlySpan<double> actual, ReadOnlySpan<double> predicted, Span<double> output, int period)
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{
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ValidateBatchInputs(actual, predicted, output, period);
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if (actual.Length == 0) return;
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|
||||
// Allocate temporary buffer for absolute errors
|
||||
const int StackAllocThreshold = 256;
|
||||
int len = actual.Length;
|
||||
if (len <= StackAllocThreshold)
|
||||
{
|
||||
Span<double> absErrors = stackalloc double[len];
|
||||
ErrorHelpers.ComputeAbsoluteErrors(actual, predicted, absErrors);
|
||||
ErrorHelpers.ApplyRollingMean(absErrors, output, period);
|
||||
}
|
||||
else
|
||||
{
|
||||
double[] rented = ArrayPool<double>.Shared.Rent(len);
|
||||
try
|
||||
{
|
||||
Span<double> absErrors = rented.AsSpan(0, len);
|
||||
ErrorHelpers.ComputeAbsoluteErrors(actual, predicted, absErrors);
|
||||
ErrorHelpers.ApplyRollingMean(absErrors, output, period);
|
||||
}
|
||||
finally
|
||||
{
|
||||
ArrayPool<double>.Shared.Return(rented);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,125 @@
|
||||
# MAE: Mean Absolute Error
|
||||
|
||||
> "When you need to know how wrong you are on average, without the drama of squared errors."
|
||||
|
||||
Mean Absolute Error (MAE) measures the average magnitude of errors in a set of predictions, without considering their direction. It represents the average of the absolute differences between actual and predicted values.
|
||||
|
||||
## Historical Context
|
||||
|
||||
MAE is one of the oldest and most intuitive error metrics in statistics. Its simplicity and interpretability have made it a staple in regression analysis, forecasting, and model evaluation since the early days of statistical analysis.
|
||||
|
||||
## Architecture & Physics
|
||||
|
||||
MAE treats all errors equally, making it more robust to outliers compared to squared-error metrics like MSE. The absolute value operation removes directionality, focusing purely on error magnitude.
|
||||
|
||||
### Properties
|
||||
|
||||
* **Non-negative**: MAE ≥ 0, with 0 indicating perfect prediction
|
||||
* **Same units**: Unlike MSE, MAE is in the same units as the original data
|
||||
* **Linear sensitivity**: Each unit of error contributes equally to the final metric
|
||||
* **Robust**: Less sensitive to outliers than squared-error metrics
|
||||
|
||||
## Mathematical Foundation
|
||||
|
||||
### 1. Absolute Error
|
||||
|
||||
For each observation, calculate the absolute difference between actual and predicted values:
|
||||
|
||||
$$e_i = |y_i - \hat{y}_i|$$
|
||||
|
||||
Where:
|
||||
* $y_i$ = actual value
|
||||
* $\hat{y}_i$ = predicted value
|
||||
|
||||
### 2. Mean Calculation
|
||||
|
||||
Average the absolute errors over the period:
|
||||
|
||||
$$MAE = \frac{1}{n} \sum_{i=1}^{n} |y_i - \hat{y}_i|$$
|
||||
|
||||
### 3. Running Update (O(1))
|
||||
|
||||
QuanTAlib uses a ring buffer with running sum for O(1) updates:
|
||||
|
||||
$$S_{new} = S_{old} - e_{oldest} + e_{newest}$$
|
||||
|
||||
$$MAE = \frac{S_{new}}{n}$$
|
||||
|
||||
## Implementation Details
|
||||
|
||||
### Usage Patterns
|
||||
|
||||
```csharp
|
||||
// Streaming mode - update with each new observation
|
||||
var mae = new Mae(period: 20);
|
||||
var result = mae.Update(actualValue, predictedValue);
|
||||
|
||||
// Batch mode - calculate for entire series
|
||||
var results = Mae.Calculate(actualSeries, predictedSeries, period: 20);
|
||||
|
||||
// Span mode - zero-allocation for high performance
|
||||
Mae.Batch(actualSpan, predictedSpan, outputSpan, period: 20);
|
||||
```
|
||||
|
||||
### Parameters
|
||||
|
||||
| Parameter | Type | Description |
|
||||
| :--- | :--- | :--- |
|
||||
| **period** | int | Lookback window for averaging (must be > 0) |
|
||||
|
||||
### Properties
|
||||
|
||||
| Property | Type | Description |
|
||||
| :--- | :--- | :--- |
|
||||
| **Last** | TValue | Most recent MAE value |
|
||||
| **IsHot** | bool | True when buffer is full |
|
||||
| **Name** | string | Indicator name (e.g., "Mae(20)") |
|
||||
| **WarmupPeriod** | int | Number of periods before valid output |
|
||||
|
||||
## Performance Profile
|
||||
|
||||
| Metric | Score | Notes |
|
||||
| :--- | :--- | :--- |
|
||||
| **Throughput** | ~10 ns/bar | O(1) update complexity |
|
||||
| **Allocations** | 0 | Uses pre-allocated ring buffer |
|
||||
| **Complexity** | O(1) | Constant time per update |
|
||||
| **Accuracy** | 10/10 | Exact calculation |
|
||||
| **Timeliness** | 9/10 | No lag beyond the period |
|
||||
| **Smoothness** | 7/10 | Moderate smoothing |
|
||||
|
||||
## Interpretation
|
||||
|
||||
| MAE Range | Interpretation |
|
||||
| :--- | :--- |
|
||||
| **0** | Perfect prediction |
|
||||
| **Low** | Predictions are close to actual values |
|
||||
| **High** | Large average prediction error |
|
||||
|
||||
## Comparison with Other Metrics
|
||||
|
||||
| Metric | Outlier Sensitivity | Units | Interpretation |
|
||||
| :--- | :--- | :--- | :--- |
|
||||
| **MAE** | Low | Same as data | Average absolute error |
|
||||
| **MSE** | High | Squared units | Penalizes large errors more |
|
||||
| **RMSE** | High | Same as data | MSE in original units |
|
||||
| **MAPE** | Varies | Percentage | Relative error |
|
||||
|
||||
## Common Use Cases
|
||||
|
||||
1. **Forecast Evaluation**: Measure prediction accuracy over time
|
||||
2. **Model Comparison**: Compare different prediction models
|
||||
3. **Trading Strategy**: Track signal accuracy
|
||||
4. **Risk Assessment**: Monitor prediction reliability
|
||||
|
||||
## Edge Cases
|
||||
|
||||
* **Identical Values**: Returns 0 when actual equals predicted
|
||||
* **NaN Handling**: Uses last valid value substitution
|
||||
* **Single Input**: Not supported (requires two series)
|
||||
* **Period = 1**: Returns current absolute error
|
||||
|
||||
## Related Indicators
|
||||
|
||||
* [MSE](../mse/Mse.md) - Mean Squared Error
|
||||
* [RMSE](../rmse/Rmse.md) - Root Mean Squared Error
|
||||
* [MAPE](../mape/Mape.md) - Mean Absolute Percentage Error
|
||||
Reference in New Issue
Block a user