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- SLOPE measures the instantaneous rate of change—the velocity of a time series.
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- No configurable parameters; computation is stateless per bar.
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- Output range: Varies (see docs).
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- Requires `2` bars of warmup before first valid output (IsHot = true).
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- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
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SLOPE measures the instantaneous rate of change—the velocity of a time series. As the first derivative, it answers the fundamental question: how fast is the value changing right now? A positive slope means ascending; negative means descending; zero means flat. This O(1) streaming implementation uses SIMD optimization for batch calculations and handles bar corrections via state rollback.
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## References
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- Newton, Isaac. (1687). "Philosophiæ Naturalis Principia Mathematica."
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- Numerical Methods: Finite Difference Approximations.
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- Numerical Methods: Finite Difference Approximations.
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