validation and profiles

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Miha Kralj
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# MSTOCH: Ehlers MESA Stochastic
# MSTOCH: Ehlers MESA Stochastic
The MESA Stochastic applies John Ehlers' Roofing Filter as a preprocessing stage before computing a stochastic oscillator, then smooths the stochastic output with a Super Smoother. The Roofing Filter removes both low-frequency trend components (via highpass) and high-frequency noise (via Super Smoother), isolating the dominant cycle. The stochastic calculation on this filtered data produces a clean 0-to-1 oscillator that responds to cycle turning points rather than trend or noise, with substantially reduced whipsaw compared to conventional stochastic indicators.
@@ -53,6 +53,44 @@ $$\text{Output} = \text{clamp}(MSTOCH_t, 0, 1)$$
**Default parameters:** stochLength = 20, hpLength = 48, ssLength = 10.
## Performance Profile
### Operation Count (Streaming Mode)
Modified Stochastic uses RingBuffers for high/low windows with O(1) sum-based smoothing.
| Operation | Count | Cost (cycles) | Subtotal |
| :--- | :---: | :---: | :---: |
| RingBuffer deque update (high window) | 2 | 1 | 2 |
| RingBuffer deque update (low window) | 2 | 1 | 2 |
| SUB (high low = range) | 1 | 1 | 1 |
| SUB (close low = position) | 1 | 1 | 1 |
| DIV (raw %K = position/range) | 1 | 15 | 15 |
| FMA × 2 (smoothed %K, %D EMA updates) | 2 | 4 | 8 |
| CMP (range > 0 guard) | 1 | 1 | 1 |
| **Total** | **10** | — | **~30 cycles** |
~30 cycles per bar. Two EMA instances on top of a sliding window min/max.
### Batch Mode (SIMD Analysis)
| Operation | Vectorizable? | Notes |
| :--- | :---: | :--- |
| Sliding high/low | Partial | Lemire deque O(n); SIMD scan for ArgMax/Min |
| Raw %K | Yes | VSUBPD + VDIVPD |
| EMA smoothing × 2 | **No** | Recursive IIR — sequential |
EMA smoothing blocks full vectorization; window extrema and division are SIMD-friendly.
### Quality Metrics
| Metric | Score | Notes |
| :--- | :---: | :--- |
| **Accuracy** | 9/10 | Exact window extrema; FMA EMA smoothing |
| **Timeliness** | 6/10 | Period + EMA smoothing period determines lag |
| **Smoothness** | 8/10 | Double EMA smoothing produces stable %K/%D lines |
| **Noise Rejection** | 7/10 | EMA smoothing removes stochastic choppiness |
## Resources
- Ehlers, J.F. (2013). *Cycle Analytics for Traders*. Wiley, Chapter 6