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Miha Kralj
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lib/numerics/accel/Accel.md
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# ACCEL: Second Derivative (Acceleration)
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Numeric |
| **Inputs** | Source (close) |
| **Parameters** | None |
| **Outputs** | Single series (ACCEL) |
| **Output range** | Varies (see docs) |
| **Warmup** | `3` bars |
### TL;DR
- ACCEL measures the rate of change of velocity—the acceleration of a time series.
- No configurable parameters; computation is stateless per bar.
- Output range: Varies (see docs).
- Requires `3` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "Velocity tells you where you're going. Acceleration tells you if you're getting there faster or slower."
ACCEL measures the rate of change of velocity—the acceleration of a time series. As the second derivative, it reveals momentum shifts before they manifest in price direction. Positive acceleration means velocity is increasing (trend strengthening); negative means velocity is decreasing (trend weakening). This O(1) streaming implementation uses FMA optimization and SIMD batch processing.