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lib/oscillators/gator/Gator.md
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# GATOR: Williams Gator Oscillator
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Oscillator |
| **Inputs** | Source (close) |
| **Parameters** | `jawPeriod` (default 13), `jawShift` (default 8), `teethPeriod` (default 8), `teethShift` (default 5), `lipsPeriod` (default 5), `lipsShift` (default 3) |
| **Outputs** | Single series (Gator) |
| **Output range** | Varies (see docs) |
| **Warmup** | `Math.Max(jawPeriod + jawShift, Math.Max(teethPeriod + teethShift, lipsPeriod + lipsShift))` bars |
### TL;DR
- The Williams Gator Oscillator is a dual-histogram visualization of the Alligator indicator's convergence and divergence.
- Parameterized by `jawperiod` (default 13), `jawshift` (default 8), `teethperiod` (default 8), `teethshift` (default 5), `lipsperiod` (default 5), `lipsshift` (default 3).
- Output range: Varies (see docs).
- Requires `Math.Max(jawPeriod + jawShift, Math.Max(teethPeriod + teethShift, lipsPeriod + lipsShift))` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The alligator tells you the trend exists. The gator tells you whether the alligator is hungry or full."
The Williams Gator Oscillator is a dual-histogram visualization of the Alligator indicator's convergence and divergence. It strips the Alligator's three SMMA lines down to two absolute differences: upper (Jaw minus Teeth) and lower (negative of Teeth minus Lips). The result is a zero-centered oscillator where expanding bars signal trend acceleration and contracting bars signal trend exhaustion. Because it operates on pre-computed SMMA values, the Gator adds zero computational overhead beyond two subtractions, two absolute values, and one sign flip per bar.